diff --git "a/data/dm_maths/full_data_2/10031_11255.jsonl" "b/data/dm_maths/full_data_2/10031_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10031_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Express (0*i**2 - i**2 - i**2)*((-3*i + 3*i - i)*(0 - 2 + 3) + (0 - 4 + 1)*(-4 - 3 + 1)*(19*i - 7*i - 8*i)) as o*i + f + g*i**3 + h*i**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273254531 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 154265 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179969979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 93*w**2 + 94*w + 52. Calculate y(-94).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5*m**3 - 43605*m**2 - 95091600*m - 95048000 = 0.\nAnswer: -4360, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*i + 8, -3*k - 2*i + i + 9 = 0. Let z be 106\/3 - (-4)\/6. What is the lowest common multiple of 4 and z\/8 + 2\/k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285017, 283902, 282787, 281672, 280557?\nAnswer: 279442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 195754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-2)\/4)\/(2\/24) - -846 and 4.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + 0 - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-95)\/57*(-3492)\/(-33950)?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) -0.4 (c) -2\/27 (d) 24\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 12 = -6*t. Sort t, 3, -1 in increasing order.\nAnswer: t, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -11) + -10 - (-6 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5379*w + 1081*w + 1077*w + 1049*w + 1085*w + 1086*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1.9 (b) -0.4 (c) -5 (d) -2\/11 (e) -9\/11 (f) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -11 - (6 - 3). What is the common denominator of -3\/2 and (1\/(-12))\/(r\/1370)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-7)*2*-2. Differentiate 0*b**3 - 2 - 4*b**u + 0*b**3 + 5*b**4 wrt b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 + 1. What is r rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 1:14 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 29 + -32 + 2\/4 + 350\/(-20)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33746777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 29 in decreasing order.\nAnswer: 29, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-228)\/(-72))*(-78)\/(-234)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49114780 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 0 - 1\/12*j**4 + j**2 + 1\/9*j**3 + 0*j - 1\/90*j**5 + 1\/60*j**6. Solve r(p) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(-1)\/(0 - -2). Suppose 27*p - 2522 - 2203 = 0. Suppose 77 = 3*s + 3*f - p, 0 = d*s - 2*f - 242. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60052328.\nAnswer: 2, 7, 1072363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57539636257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-3)*(6 + -3). Solve -v*a + 16 - 1 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 8*i - 24, -2*b = -b - 3*i + 1 - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j**3 - 6*j**2 + 8*j + 11. Let f(v) = 10*v**3 + 6*v**2 - 9*v - 13. Let y(l) = 5*f(l) + 6*s(l). Let p(k) = k**3 - k - 1. Determine -3*p(h) - y(h).\nAnswer: h**3 + 6*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 95.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 + l**2 - l. Let q(b) = b**3. Let c(a) = n(a) + 3*q(a). Let m(j) = -6*j**3 - 5*j**2 + 5*j. Let r(s) = 5*c(s) + m(s). Determine r(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckkccckckkkckkkcckcc. What is prob of sequence kkc?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 3721257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -10 + (-145)\/(-13).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1 + 76149\/15 + (-54)\/90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17\/6 + 55\/18. Let n = -0.3 + 0.2. Let x = 0.4 - n. Which is the second smallest value? (a) x (b) r (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, g: 3, x: 3, f: 2, j: 1, n: 2}. Give prob of picking 1 r, 1 n, and 1 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 548*n**4 - 6*n**2 + 21*n - 407*n**4 + 442*n**4 wrt n.\nAnswer: 13992*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4125205 at least as big as -4125207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 144, 150, 166, 198, 252, 334, 450, 606?\n\"Answer: x**3 - x**2 + 2*x + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5979, -5939, -5961, -6117, -6479, -7119, -8109, -9521?\n\"Answer: -12*x**3 + 41*x**2 + x - 6009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 3*v - 41 + 2*v + 116 + v**3. Is h(0) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000000 (base 2) in base 3?\nAnswer: -222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 851*n**2 + 853*n**2 - 2641*n**2 + 9*n + 7 + 939*n**2.\nAnswer: 2*n**2 + 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -11, -13\/5, 2\/389, 40, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + f - 7. Let s be t(-4). Solve -j = 3*j - b + 3, -3*b + 9 = s*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 153 - 81. Is m a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1542756 + 164525. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 40?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23107 = -12*n + 16*n + 3*g, 0 = 2*n - 3*g - 11531. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138800 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1581 and -0.04.\nAnswer: -1581.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**3 + 2*i**3 + 2*i**3 + (6*i**2 + 0*i**2 - 4*i**2)*(-2*i + i + 2*i) + 0*i**3 + 0*i**3 + i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.711 (b) -3 (c) -0.4 (d) 0.3 (e) 2\/425\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.3 + 7. Let y = 0.5 + s. Let v = -0.4 + y. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2*r - 5925 + 5917 = 0, 0 = -l + r - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63060735 divided by 18455?\nAnswer: 3417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)*i)\/i**(-2\/23)*i**(-10)*i**3 assuming i is positive.\nAnswer: i**(-385\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 171\/9 - (-5 - -3). Let b = u + -26. Sort b, 5, 4, -2.\nAnswer: b, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 7*v - 47. Give x(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2323536924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(50)*2 + sqrt(2) + (sqrt(128)*-2 - sqrt(128)).\nAnswer: -13*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -345 in 0, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*9\/252*(-7)\/(1\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1839116101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 + 0.38. Let w be (-9)\/10 + (-3)\/(-6). What is the closest to w in m, -1\/6, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/2 + 2 + 0. What is the common denominator of ((-44)\/16)\/(i\/2) and -63\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -36 - 43 - 32 + 106 - 5*y. Let p(h) = -6*h - 6. Give 7*i(n) - 6*p(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*g - 17*g - 71*g**3 + 27*g - 175 + 11*g with respect to g.\nAnswer: -213*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + sqrt(192) - -4*sqrt(768)) + 0.\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 184\/690*(-546)\/56.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9867, -19675, -29487, -39303, -49123, -58947?\nAnswer: -68775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*y + 2*y. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/3)\/p*p\/(p*p**(-9))*(p\/(p**(2\/39)*p)*p)**(-5\/13) assuming p is positive.\nAnswer: p**(4040\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 0\/(-5) - 13. List the prime factors of 28\/(-1)*s\/6.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/5))**(-2\/7) assuming h is positive.\nAnswer: h**(-2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 416.175 micrometers?\nAnswer: 0.000000416175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 + 4*s**5 - 2*s**5 + (-s**2 - s + s)*(2*s**3 - 3*s**3 + 0*s**3) + (-4*s**4 - s**4 + 4*s**4)*(-4*s + 4*s + s).\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5 + 17. Suppose 5*z + 2*o - 20 = 0, 4*o = v*z + 8 + 6. Let f be 0\/(-5 + z) + 9. Solve s + f = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 7. Let p be s(-7). Let q(x) = -x - 1. Give q(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -966064.88?\nAnswer: -966064.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -23*i**6\/60 + i**4\/24 - 43*i**3\/6 + 72*i**2. Find the second derivative of u(n) wrt n.\nAnswer: -276*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-2))\/1)\/(123\/410)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70171a (base 12) in base 2?\nAnswer: 110101001111011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.0608 - 0.0608. What is the nearest to i in 0.4, -4\/7, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -175 + 176. Solve -s = -k - 0*k + p, -3*k = 4*p + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298 = -4*t - 42*w - 162 + 56, 0 = -5*t - 2*w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + -13.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65240*l**2*u**2 + 96*l**2*u + 4*l**2 - 3*l*u wrt u?\nAnswer: -130480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 573, 3899, 12701, 29709, 57653, 99263, 157269, 234401?\n\"Answer: 455*i**3 + 8*i**2 + 117*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 468 - 2807\/6. Let p = 49 - 92. Let s = p - -39. Which is the biggest value? (a) v (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3869 - 3865. Let g(s) be the second derivative of 8*s**2 - h*s + 0*s**3 - 1\/3*s**4 + 0. Factor g(m).\nAnswer: -4*(m - 2)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b**3 - 527*b**2 + 34*b + 9. Let o(j) = 3*j**3 + 175*j**2 - 12*j - 3. Determine -6*l(k) - 17*o(k).\nAnswer: -3*k**3 + 187*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 169*y - 19461. What is n(-77)?\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -2 + 6 + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n - 22*n + 4 - n**2.\nAnswer: -n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6062, -12123, -18184, -24245, -30306, -36367?\n\"Answer: -6061*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 + 386*t**2 + 34 - 65 - 1673*t**2 + (-1 - t + 1)*(5*t + 6*t + 10*t) to z*t + x + h*t**2 and give h.\nAnswer: -1308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122180 is divided by 40725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w + 9. Let p(k) = -9*k - 14. Let c(a) = 8*b(a) + 5*p(a). Let j(l) = 8*l + 6. Suppose -4*f - 4 = 20. Let z = 10 + f. Determine z*j(t) - 11*c(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-74)\/((-1)\/(10\/4)). Let m = d - 42. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 98*l + 1920. Let r be p(-27). Let j = 3 + 2. Solve -j*k = -r*s + 12, k - 4 = 2*k - s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 269468, -5 in decreasing order.\nAnswer: 269468, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0.3, -5\/3, 3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**3 - 4*x**2 + 2*x + 1. What is the units digit of h(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + i = -3*i - 5, 0 = -4*v + 2*i + 6. Let o = -0.07 + -0.33. Let k be 3*1 - (-80)\/(-28). What is the biggest value in o, v, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1253 and 0.2286?\nAnswer: 286.4358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -69*o**3 - o**2 - 23*o - 118. What is the thousands digit of z(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2842083711.\nAnswer: 3, 23, 673, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 11:24 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 688114040 a multiple of 1828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*1 + (7 - 8). Let h be 3750\/135 + c\/(-9). Suppose -156 - h = -4*r. What is the remainder when r is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 41, 50, 63, 80, 101?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**3 - 3795*r**2 + 48550*r - 44760 = 0. What is r?\nAnswer: 1, 12, 746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-40))**(2\/21)\/(c**31\/c)**(-1\/33))**16 assuming c is positive.\nAnswer: c**(17792\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -21\/20*t**5 + 1\/2*t**3 - 5*t + 0*t**2 - 2\/5*t**6 - 1\/2*t**4 + 0. Factor y(l).\nAnswer: -3*l*(l + 1)**2*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*h - 20824 + 167 = 0. Calculate the remainder when h is divided by 155.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10000.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -24*v. Let z(s) be the first derivative of -5\/4*s**4 + 13\/2*s**2 + v*s + 0*s**3 - 1. Find the second derivative of z(q) wrt q.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*w + 6*w + 7*w + 13*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 2. Let v be y\/(-2)*(-56)\/(-21). Solve -2*d - p = 0, -2*d + v*d = -2*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) - ((sqrt(275) + -4*(sqrt(275) + -3 - sqrt(275)) + sqrt(275))**2 + sqrt(275)) - (6*sqrt(99)*-4)**2.\nAnswer: -58268 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5*z + 990, 0 = c - 4*c - 2*z + 598. List the prime factors of c.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**8*p*p**(2\/9))\/((p*p*p**(-1\/5))\/p)**(-24) assuming p is positive.\nAnswer: p**(604\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than -0.059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 681.3 rounded to the nearest 10?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*p - 48*p - 44946. Suppose 0 = -23*g - 637 + p. What are the prime factors of g?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560309933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -47. Which is the third smallest value? (a) -0.5 (b) 3\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 >= -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3177 or 1\/3?\nAnswer: 3177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61225408 is divided by 1989.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12 + 19\/((-114)\/(-47))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 13*v + 1968 = 0. Let a be 2478\/30*10\/4. Let k = v - a. Find the common denominator of k and 13\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603*w - 15 + 366*w + 389*w.\nAnswer: 152*w - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 15. Let i(j) = -3*j. Calculate f(i(t)).\nAnswer: 9*t**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/2, -4, 2\/5, -2, 6576.\nAnswer: -4, -2, -1\/2, 2\/5, 0.5, 6576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18783084 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -206 + 214. Let l be (-27)\/(-6)*f*(-4)\/(-72). Solve -3*t = -8 + l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-72) - 12\/48?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.68, 0.5, 115\/59, -3\/7 in ascending order.\nAnswer: -0.68, -3\/7, 0.5, 115\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 344 + -155. Does 27 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - r + 3)*((-5*r + r + 3*r)*(r - 4*r + 2*r + 1) + 620*r**2 - 256*r**2 - 75*r**2).\nAnswer: -290*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -15.7. Which is the second biggest value? (a) 2 (b) p (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841684 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*d - 21952000 = -31*d. What is d rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4137 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, x: 3, y: 9, j: 1, s: 1, w: 3}. What is prob of picking 2 x?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132601877 to the nearest integer?\nAnswer: 11515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 1 - 10*f + 5 + 7.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5121290 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -375874*c**3*m**2 + 41*c**2*m**2 - 981*m**2 wrt c.\nAnswer: -2255244*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32.4 + -1.4. Let p = 29.987 - -0.013. Let m = p - u. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*h + 30 = 0, -r + 3*h + 6 = -0*r. Suppose 7*m - r*m + 14 = 3*t, 2*t - 3*m = 0. What is the remainder when 22 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23449 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2 = 0, -4*o = j - 73 + 80 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - 90. Let s = q + 113. Let f be 1\/((-116)\/(-76) + -2). Are s and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-3 - -3 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**3\/3 + 2*g**2 + 2*g + 6. Let n be 1 + (-3 - 0) + 26. Let c be (-4)\/(-20) + n\/5. Determine o(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/45 + (-68)\/(-18). Let c = m - -1. Suppose 4*p + 21 = c*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 87 + 19. Let p(j) = -228*j + 177. Let g be p(1). Let z = r + g. Calculate the remainder when 6 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/9)*(p**(-16)*p)\/p)\/((p**(-1\/14)\/p)\/p**(-1\/6)) assuming p is positive.\nAnswer: p**(-965\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/3)\/(8\/12). Suppose 5 = -q*j + 43. Solve 3*u + 5*g = j, 0 = -u - 6*g + 4*g + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4916 - 2746 + 11345 = -961*m + 3664*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06294, 2, 1\/2?\nAnswer: -0.06294","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 400 - 403.41. Let p = c - 0.59. What is the second biggest value in p, 0.1, 50?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 - 49. Let m = k + -17. Suppose -j - 140 = -m*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**14\/r**(3\/20))\/((r*r\/(r\/r**(-9))*r*r)\/((r\/r**(-8))\/r)) assuming r is positive.\nAnswer: r**(557\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 341994903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 788 equal to 784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from wwwwwbwhbwhwhqwwwwwb.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19161.\nAnswer: 3, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -8*x**2 + x - 1. Let v be g(-1). Let i be -2 + 6\/(48\/v). Which is the closest to 0.1? (a) -0.4 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*(0 + sqrt(500) + 5)*6)*-5 + 5 + 2.\nAnswer: 327 + 600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21169456*x**2 - 102492104 wrt x?\nAnswer: 42338912*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m - 2. Calculate the lowest common multiple of g(-2) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 37308663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 372288087?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000159697 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -260\/11 in -0.2, 0.1, 2, -2\/21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -14*-2*(-6)\/(-84)*-2. Let z(r) = 6*r**2 + 5*r - 3. Let n(l) = 11*l**2 + 9*l - 5. Give y*n(p) + 7*z(p).\nAnswer: -2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -15, 813 = -4*s + 28*q - 29*q. Suppose -3*a = -71 - 1066. Let t = s + a. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5*f = -j - 14*f - 24, -4*j - 1845 + 1793 = 2*f for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -17*p**2 - 11444*p - 24769. What is z(-671)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1458) + 0 + sqrt(1458) + 1.\nAnswer: 1 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3786942 - 9.\nAnswer: -3786951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g - 3*g)*(1 - 5 + 0) + (-3*g + 0*g + g)*(-649 + 95 + 64) + (3*g + g - g)*(-2 + 2 - 2) - 2*g - 2*g + g.\nAnswer: 975*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1958469.\nAnswer: 3, 647, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 376141 divided by -1\nAnswer: -376141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-6)*(22\/5 - -1). Suppose 2*q - l = 3*f, 2*f - 6*f + 2*q - 22 = 0. Does 55 divide f\/(-26) - (24955\/65)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.98 - -5.98. Sort f, -4, -0.03 in ascending order.\nAnswer: -4, -0.03, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/((7\/15)\/(-7)) - -1?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6817 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46752.983 - -46796. Let u = m - 43. Let w = u - 0.01786. Round w to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*x, -5*d - 5*x + 18 + 22 = 0. Let g(s) = s**3 + 8*s**2 + 2*s - 1. Let j be g(-7). Suppose -14 = d*l - j. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 y, and 1 s when three letters picked without replacement from {h: 1, s: 1, m: 2, e: 1, y: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(168) + (-3*sqrt(168)*-1 - sqrt(168)))\/sqrt(4))\/(sqrt(36)\/sqrt(216)) + 1 + -3.\nAnswer: -2 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5030 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1143?\nAnswer: -1\/381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 0*c**5 + 2\/3*c**3 + 4 - 1\/2*c**6 + 0*c**2 + 0*c**4 + 0*c. What is the third derivative of k(o) wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**7\/70 + 7*j**6\/120 + j**5\/180 - j**4\/8 + j**3\/9 + 2*j**2 + 4*j. Let b(f) be the first derivative of p(f). Factor b(n).\nAnswer: (n + 1)*(n + 2)*(3*n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 6. Let k be s(6). Suppose -z + 43 = 4*f + 32, -2*f - 2*z + 16 = 0. Let a = 15 - 11. Sort f, -3, a, k in decreasing order.\nAnswer: a, f, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.112 + 7.512. Is p bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Suppose 4*f - 7 = h, 32 - 8 = 3*f + s*h. Suppose 4*c + 44 = 4*i, -f*c - 3 = -6*c. Calculate the lowest common multiple of 4 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 1)\/(-1) - -2. Let t be (v\/(1 + -3))\/(-529). Let w = 12171\/1058 - t. Calculate the common denominator of 87\/4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000 + 11?\nAnswer: 1101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 137 + -130. Suppose 0 = p - h*p + 210. What is the remainder when p is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77175 by -58.\nAnswer: -77175\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Let h be v - (12\/(-10) + 4). Let t be 2\/(-7) + 9 + -9. Which is the closest to h? (a) 2 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 22*i**2 - 5*i + 44. Give x(-22).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -85.5992 to 1 decimal place.\nAnswer: -85.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -657987.8 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m**3 + 5*m - 25. Let v(u) = -5*u**3 - 3*u + 13. Let o(d) = -6*g(d) - 10*v(d). What is the derivative of o(s) wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -50*j**3 - 6*j**2 + 33*j + 1. Calculate g(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 201 and 1675.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -251*c + 77*c + 870. Solve l - 13 = -5*x, -13*l = 4*x - 14*l - c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 13) in base 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 - 76. Suppose 8*d + 18 = g*d. Let f = -4 + 20. What is the remainder when f is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from xdrrdw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -23, -6, -5, -1 in descending order.\nAnswer: 2, -1, -5, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -30, -39, -48, -57?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 14040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 7592865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14226 - 8197. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 5*j + 98 - 33, 4*j - 155 = 6*f - 79 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 51 = 7. Suppose 0 = 4*u - 10 + g. Let k(c) = -c + 5. What is the units digit of k(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1572*p*u + 259207655*p - 66595*u wrt u?\nAnswer: -1572*p - 66595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 585*h + 179. What are the prime factors of p(5)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -526663\nAnswer: -526667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 352 by 796.\nAnswer: 88\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**5 - 119472*m**4 - 955960*m**3 - 2151008*m**2 - 1912044*m - 597520 = 0.\nAnswer: -5, -1, 29876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201114140 - 4?\nAnswer: 201114131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 148898 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1, -1364, 338, -3.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 82 - 9 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.116 times 517549?\nAnswer: -60035.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -784 - -849. Suppose 2*v = -v + 39. What is the highest common factor of g and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179.975901095 - 0.025432905. Let x = j + 180. What is x rounded to five dps?\nAnswer: -0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 63*o - 39. What is h(-32)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -48 - 14 - (-23 + 32)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9843 divided by -9843.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.378 - -250.722. Let x = w - 240. What is x rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1463231 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0309 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/3 and ((-566)\/273 + 2)*(-1988)\/(-1278).\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108266 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41890203 and 4120?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*l = 9, -3*k + 0*k + l - 8 = 0. Let i = 1 - k. Let j(g) = 2*g**2 - 2*g + 1. Give j(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 219108916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - (sqrt(132)*2)\/sqrt(4)) + (sqrt(165)\/sqrt(5) - sqrt(33))*4)\/(-6*4*sqrt(27)*-5).\nAnswer: -sqrt(11)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w + 34. Let l be g(14). Let f(k) = -l - 7*k - 9 + 8 + k**3 + 5*k**2. Determine f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h*j**4 - 38*h*j**3 + 273*h*j**2 - 2*j**6 wrt j?\nAnswer: 24*h*j - 228*h - 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z**(9\/4)*z))*z**(-5))**(-38)*(z*z*z*z\/(z**0\/z)*z*z*z)\/z**(-6)*(z**0)**(-46) assuming z is positive.\nAnswer: z**(161\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94105?\nAnswer: 5, 11, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.025119965*-0.3.\nAnswer: -0.0075359895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(14\/(-18)) - 1. Suppose 14 = -3*l + f*l + 3*v, 0 = 3*l - 5*v - 22. Suppose 12 = -l*s - 0. Which is the biggest value? (a) -0.2 (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3996, 4035, 4078, 4125, 4176, 4231?\nAnswer: 4290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4563137 or -4563139?\nAnswer: -4563139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 17*y**2 - 19*y - 41. What are the prime factors of b(15)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 10*g**2 - 5*g + 3*g. What is the remainder when f(-2) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -11*a + 24*a - 11*a + 8. Let v(b) = 4*b + 2586 - 3*b - 2586. Calculate w(v(c)).\nAnswer: 2*c + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 666 = b - 668, 5*r = -b + 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 792.62232 take away 765?\nAnswer: 27.62232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/3 of a decade in months?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101440710?\nAnswer: 2, 3, 5, 7, 161017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 1. Let n(p) = -6*p**3 + 3*p + 11. What is 3*b(j) + n(j)?\nAnswer: -6*j**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 320 + -467. Let q = 344 + g. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115914, -231891, -347868?\nAnswer: -463845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + (-1*sqrt(98))**2 + sqrt(98)) + -2*sqrt(4)\/(sqrt(10)\/sqrt(45) - sqrt(2) - sqrt(2)).\nAnswer: -612 - 204*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5892 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -15*n. Let u(g) = -14*g - 5. Let i(t) = 119*t + 42. Let o(d) = 5*i(d) + 42*u(d). Give -9*o(h) - 4*y(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -976 - -4?\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.62785g?\nAnswer: 0.00762785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9948 and 1236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40153459 rounded to three decimal places?\nAnswer: 0.402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8912 times -0.1\nAnswer: -891.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 2:45 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 7 in decreasing order.\nAnswer: 7, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9727*m**3*w**4 + 5*m**3*w**3 - 3549*m**3*w - w**2 wrt w.\nAnswer: -233448*m**3*w + 30*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 11:04 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1701 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*1*(-38)\/(-152))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 1 + 5)**2 + 4.\nAnswer: 144*sqrt(11) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 290843, -4, -64.\nAnswer: -64, -4, 3, 290843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -29*u**7\/35 + u**6\/120 - 8*u**5\/15 + 693*u**2. Find the third derivative of y(v) wrt v.\nAnswer: -4176*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -829 - -834. Solve -b*t = -2*m + 13 + 13, 0 = -4*t + 4*m - 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90833, 181670, 272505, 363338?\nAnswer: 454169","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 {q: 14, e: 5}?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 36689198 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 20 = j, 0 = 5*q - 3*j + 290. Let h = q - -81. What is the remainder when h is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.005 (b) -1 (c) -3\/4 (d) -0.1 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 2*q + 8, -229*t + 2*q = -228*t - 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -18*d**2 + 25*d - 5. Determine u(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(6)\/(sqrt(242) - sqrt(242)*-2 - sqrt(242) - sqrt(2)).\nAnswer: -1 + sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - h - 11 = 9, 5*h + 40 = 3*x. Let k(f) = 6*f**2 + 2*f - 4. Let i(d) = 5*d**2 + d - 4. What is x*i(l) - 4*k(l)?\nAnswer: l**2 - 3*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000067301 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - o + 10, 0*x - 4*o = 2*x - 30. Suppose d = x*c - 18 - 40, 0 = -5*d - 2*c - 290. What is the tens digit of -1 + d\/((-6)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(11) + 3 + sqrt(44)*-4)**2.\nAnswer: -210*sqrt(11) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 11:08 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3878 - 3882. Suppose 2*f - 5*c + 385 = 84, 5*c = -4*f - 527. List the prime factors of (f\/o)\/((-3)\/(-4)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104128877.\nAnswer: 421, 247337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104372987.\nAnswer: 349, 299063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfzfuuafuhuzzufhhzaf. Give prob of picking 1 f, 1 z, and 1 h.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, z: 3, l: 1, v: 2}. Give prob of picking 1 c and 2 z.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3575202?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 4 + 5)*(-3 + 3 - w).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 52*l + 44.\nAnswer: 52*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**3\/3 - 61450*w**2\/3 - 188374240*w\/3 + 2649297280\/3 = 0.\nAnswer: -6152, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1214447, 1214606, 1214765, 1214924?\nAnswer: 1215083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbbdyhhdddhy. Give prob of sequence yd.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 24*h**2. Let z(a) be the third derivative of -a**6\/180 - 139*a**3\/6 - 3*a**2. Let g(q) be the first derivative of z(q). Calculate g(x(r)).\nAnswer: -1152*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170947.\nAnswer: 7, 24421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16214 - 16331. Is u less than or equal to -1980\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1697229, -6788820, -15274805, -27155184, -42429957, -61099124?\nAnswer: -83162685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kko when three letters picked without replacement from okk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 23 + 68. Suppose 4 = s*h - 12*h. Factor 2*z**h - 4*z**3 + z**3 + 2*z**2 + 0*z**4 - z**3.\nAnswer: 2*z**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minus 127?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/70*(-15)\/((-360)\/(-84))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Let w be (u\/(-30))\/(2\/8). Let d = w + -1\/15. Is -1 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 45 - 245\/35. Suppose 1 = 13*j - q. Suppose 2*x - m = -3*m + 110, -222 = -4*x - 5*m. What is the smallest common multiple of j and x?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76*q**5 - 132*q**3 - 2*q**2 + 19*q - 12.\nAnswer: -4560*q**2 - 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 20*z. Let c(j) = 131*j - 1. Calculate -2*c(m) + 14*n(m).\nAnswer: 18*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 7:57 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -873367 - -173?\nAnswer: -873194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2320*s + 2324*s + 5 = -k, 3*s + k + 2 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48 and 4.1?\nAnswer: -196.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -749\/598242 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/83049000 and -41\/21.\nAnswer: 581343000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 972 and 3807.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.032 - 0.268. Let f be (-12)\/(-8)*(-2)\/(-3). Let r = -3 - 1. What is the closest to f in o, 5, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(-5) - (112\/20 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17\/6 + 19\/6. Let h = -31 + 39. Let t be (-18)\/h + (-6)\/(-2). Which is the nearest to u? (a) 1\/9 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17164880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 5*b**2 + 6*b - 2. Let y be n(6). Suppose -4*u = -u. Let a be 2\/24*(u - y). Is a greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -7*i - 6. Let k(w) = 4*w**2 - 2*w + 26. Let s be k(7). Suppose s = i*t - 728. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2 (b) 2\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert fc (base 16) to base 11.\nAnswer: 20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3193*x = -3191*x - 2*s + 24, -5*s + 4 = 2*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/2784 and -1\/348.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s = -142*s + 32*s + 2413 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 90*q**2 + 2*q + 339. Let n(j) = -123*j**2. What is c(n(p))?\nAnswer: 1361610*p**4 - 246*p**2 + 339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15988\/(-5) - (-10)\/(-25). Does 13 divide (-6)\/8 + (-2 - b\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 2238?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6198 - 122.4598. Let w = y - -116. What is w rounded to one decimal place?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b + 13. Let w(v) = -2*v - 4. Suppose 3*z + 5*l = 34, -3*l = -z - 5 - 7. Let s be (3 - 2)*(z + -10). Determine s*w(u) - 2*x(u).\nAnswer: 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.067 + -1.933. Which is the nearest to -1\/4? (a) -13 (b) f (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/2 - (1 - 1). Let v(i) = -s*i - i**2 + 2*i. Let a(q) be the first derivative of -q**3\/3 + 8. What is v(a(y))?\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 15. Let i be f(-10). Factor 2*p**2 + p**2 - i*p - p.\nAnswer: 3*p*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 35) + 2 + -20 + 7.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + (-1 - (27 + 40 + 1 + 6)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 24, 0.3, -0.17, -2\/103 in decreasing order.\nAnswer: 24, 0.3, -2\/103, -0.17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/105 and -94\/14115?\nAnswer: 98805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6 + -3. Let d = -2 - -4. Which is the closest to d? (a) 4 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/3615 and 11\/5061.\nAnswer: 25305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 0)*((2 - 3 - 1)*(b + b - b) - 3*b - b + 5*b + (-3*b + 0*b + 2*b)*(-5 + 4 - 1) - 12*b + 7*b - 22*b).\nAnswer: 104*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/2 + 3)\/((-1)\/(-8)). Let r be (-68)\/12 + 4 + j\/(-6). What are the prime factors of 48\/(r\/1 + 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 3*s**2 + 8*s - 24. Let c(k) = -5*k - 6. Let q(y) = -4*c(y) - 3*j(y). Let p(f) = -42*f**2. What is p(q(t))?\nAnswer: -168*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443745 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 291\/9 - 3\/9. Is 88\/s*(-16)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*s + 5. Let z be (-5)\/3*9\/s. Suppose -5*v = z*o, 3*v + 7 - 27 = 2*o. Solve 0 = -5*g + 3*g + v*x - 14, -4*g - 5*x + 24 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 884\/39 + (-4)\/6. Let g = i - 24. Let s = 0 - 0. Put g, -3, s in decreasing order.\nAnswer: s, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3. Let g(j) = j**3 + 4*j**2 + 3*j - 1. Let r be g(-3). Is r at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12126, -12111, -12086, -12051, -12006, -11951, -11886?\n\"Answer: 5*h**2 - 12131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 914*3\/6 + 3. Let i = p + -239. Does 32 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.087801 to one decimal place.\nAnswer: -68.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 190495.\nAnswer: -3\/190495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-1 - 0) + 1 + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 + 14*m - 2 - 2*m**2 + 16*m - 34*m. Determine t(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8*d + 40 = 0. Suppose 0 = 13*i - 2663 + 2429. Calculate the least common multiple of d and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {e: 7, u: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262*y + 0 + 146*y + 0.\nAnswer: -116*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11577909 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1764 + 8731\/5. Let h = -18 - v. What is the third smallest value in h, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 4\/((-40)\/(-1174)). Let j = u - 116. Solve -2*q**4 - 4\/5*q + 2*q**2 - j*q**3 + 0 + 6\/5*q**5 = 0 for q.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/54)\/((-91)\/21).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*k = -262*k + 290 + 600 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 22*s + 7. Let y(u) = -5*u**2 + 68*u + 22. Let b(a) = 8*p(a) - 3*y(a). What are the prime factors of b(-9)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*z = -6*z - 2, -2*a = 3*z + 6. Let k(d) = -d + 21. Give k(a).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 15*b**2 + 12. What is the remainder when 59 is divided by n(-15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2566341 and 174968421?\nAnswer: 177534762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + 6. Solve 0 = 3*u - k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4225 and 57460.\nAnswer: 287300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 13*q**4\/24 - 2*q**2. Let u(a) = 2*a**2. What is u(i(j))?\nAnswer: 338*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (291 - 376*h - 291)*(4*h - h + 0*h).\nAnswer: -1128*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3749*d - 10*d**2 + 262 + 3749*d + (-2*d + 4*d - 3*d)*(0*d - d + 0*d) in the form q + y*d**2 + i*d and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11\/44)\/((-7)\/(-112)). Solve a + h + 4*h = 14, -4*a + g*h = -8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiixxxiii. Give prob of picking 2 x and 1 i.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/19? (a) 8 (b) 0.2 (c) -2 (d) -1 (e) -4\/3 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 8:24 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*h**2*r**2 - 20*c*h*r**2 - 2*c*h*r + 100*h**2*r**2 + 5*h**2*r + 2*h*r**2 - 147*r**2 wrt h?\nAnswer: -4*c*r**2 + 200*r**2 + 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -383 or -378?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -5.73.\nAnswer: -10.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.153514? (a) 2\/3 (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/11, -13, -1\/3, 50?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 816 = 4*i, -2*z = -6*z - 5*i + 821. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 23. Let o be y(-20). Let s = -35 - -51. Solve -4*b + 2*u - o*u + s = 0, -4*u = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + 3*t**2 - 7*t. Let x(j) = -3*j**3 + 3*j**2 - 8*j. Suppose 2*v = -127 + 119. Let p(o) = v*z(o) + 3*x(o). Find q such that p(q) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*x + 34*x - 3*m - 29, 0 = -4*x - 10*m + 12*m - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 52\/(-12) + 3\/(-18)*-2. Let f(a) = a**2 - 4*a - 9. Let p(j) = -2*j - 5. Give q*f(s) + 7*p(s).\nAnswer: -4*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 26 - 29252*y - 29391*y + 58641*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 94\/285 and 23\/30?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*(-49)\/(-84)*6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + -1 - sqrt(252) - sqrt(252))**2*-6 + (sqrt(3969) + -2*sqrt(3969) + sqrt(3969))\/sqrt(7).\nAnswer: -1518 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 6*o + 25. Suppose -o*q = -19 - 36. Calculate the remainder when 42 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18743, -38229, -57699, -77147, -96567, -115953, -135299, -154599?\nAnswer: -173847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009768891 to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2624.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 139*i**2 - 143*i - 2272. Is g(-19) a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1481.242 millilitres?\nAnswer: 1.481242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**8)**(-47)*((d\/d**(2\/21))\/d*d)**0 assuming d is positive.\nAnswer: d**329","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a + 8*a + 26*a to the form c*a + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + q - 7*q)*(-2 + 2 + 2)*(18*q - 27*q - 28*q) to z + t*q + b*q**2 and give b.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117533 - -204740. Let u = 18407 - j. What is u rounded to the nearest one thousand?\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 10:30 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -634 or 1?\nAnswer: -634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -14*x + 71. Let b be s(-28). Suppose 4*r = 2770 - 822. What is the derivative of 2*l**3 + b + 25*l**4 - r - 2*l**3 wrt l?\nAnswer: 100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-12 - -18 - 2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-2\/7))**(-32)*(p\/(p\/(p\/(p*p\/(p\/(p*p\/(p\/(p**0*p))*p)*p)))))**(-42))**24 assuming p is positive.\nAnswer: p**(1824\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*w - 2152 - 3419 + 1840.\nAnswer: 129*w - 3731","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/4)\/((-4)\/80). Suppose 3*o - j = 8*o. Let s be -1 - (-4 - o - 4). Solve 0 = -4*c, -2*v + 4*c - s = -c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.038 + -0.038. Let h = 7 + -12. Let x(j) = -j**3 + 6*j**2 + 6*j + 8. Let n be x(7). What is the nearest to n in -0.1, p, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110010001100100001 (base 2) to base 3\nAnswer: 212202121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 933 = -7008. Suppose -3*n = 3*b - 2022, b + p = 2*b + 2*n. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 52\/21 + 208\/(-182). Let h(g) be the first derivative of 2*g + 2 + r*g**3 + 0*g**2. What is the first derivative of h(l) wrt l?\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at least as big as -230\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydyd when four letters picked without replacement from ymmymmmmnmdmytdmmmd?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - q - 20, 0*l - 2*q = -4*l - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + -55 + 0 + 1. Let d be 8\/(-3)*a\/76. Solve -r - d*w = -2 - 2, -3*r = w + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2))\/((-3)\/(-12)). Suppose 14 + 6 = -m - s*c, 44 = -2*m - 2*c. Let v be 10*(2 - m\/(-20)). Solve 5*o - 7 = v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -254 + 298. What is the highest common divisor of 110 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = 4. Let g be -2 - ((-10)\/(-2) + u). Is 1592\/6 + 3\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234675806 a multiple of 3701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 3*x. Suppose 8*c - 3*s = 6*c + 5, 2*c = s - 5. Let d be i(c). What is the derivative of -d*y**2 - 1216 + 45*y**2 + 1167 wrt y?\nAnswer: 70*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.9050662 to 0 decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 28*j**2 + 31*j + 62. Let s(t) = 4*t**2 + 31*t - 8. Let q be s(-7). Let u be l(q). Solve u = 2*f - y, -5*y = f + 8 + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10262322*b**2 + 3*b + 4634624.\nAnswer: 20524644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x**5 + 3*x**4 + 2*x. Let i(d) = -5*d**5 + 2*d**4 + d. Let u(b) = -3*i(b) + 2*z(b). Find the second derivative of u(g) wrt g.\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 r when three letters picked without replacement from yayyyyyyyyyyry?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9334\/(-4056) - 126\/(-56)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -0.02 (c) -429 (d) 2\/33 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, v: 1, d: 6, r: 6, c: 1, a: 1}. Give prob of picking 1 r and 1 d.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/2 - (0 + -3). Let u be l\/6*(0 + 0). Let w be (-2 - u)\/(22\/(-253)). Calculate the greatest common factor of 23 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 36504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/96 and (-181)\/(-18) - ((-207)\/(-81) + -3)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6482\/3 + -37516\/15. Is h greater than -340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 274*(11 + 5\/(-8 - -3)). What is b rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 3*x**2 + 17*x - 3. Let d be g(-6). Let -2*j**d + 16\/5*j**2 + 0 + 2\/5*j**4 - 8\/5*j = 0. Calculate j.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352*j**2 - j**3 + 175*j**2 + 177*j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -21?\nAnswer: -23\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6987 and -0.2.\nAnswer: 0.33974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 2*g - 4. Suppose 3 = 4*r - 9. Suppose r*c + 0*w = -5*w + 4, c - 2 = -2*w. Let m(y) = -2*y**2 + 3*y + 5. Give c*m(h) - 3*x(h).\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1453*k**2 - 28984 with respect to k.\nAnswer: 2906*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:35 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2949 = -5*r, 3*b + 37*r - 2235 = 33*r. What is the highest common factor of b and 3211?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.171*-0.2\nAnswer: 0.0342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 = p, 2*p - 3*q - 7 = 14. Suppose -7*i + 5*i = -4*z - 12, -z - p = -5*i. Is -7 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26c24 (base 13) to base 14.\nAnswer: 1c52a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -920.1 - -0.06?\nAnswer: -920.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 3, -7, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -250969*y**3 + 12*y**2 + 11632366*y + 1?\nAnswer: -1505814*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i + 22. Let y be u(5). Solve -y*r - 6 = -9*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 2:16 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -5, 23, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 351 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*i + 10. Suppose -i*a + 3*a = -24. Suppose c + 4*r = -c + 34, -a = -2*c + 3*r. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, 4, -33, 0.4, 6119\/3 in decreasing order.\nAnswer: 6119\/3, 4, 0.4, 0.1, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -633 + 22354?\nAnswer: 21421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njn when three letters picked without replacement from xtennnxnunejjjj.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/12738 and -109\/14.\nAnswer: 89166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(1232\/448*(-6)\/(-11)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**5\/120 + b**4\/6 - b**3\/6 + 3*b**2. Let i(r) be the first derivative of p(r). List the prime factors of i(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 0*v**3 + v**2 - 1 + 0*v**4 + 3\/5*v**5 + 0*v. What is the second derivative of w(a) wrt a?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20049.2 + 20050. Sort -64, a, 5 in descending order.\nAnswer: 5, a, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -38.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10c6d3f (base 16) to base 4.\nAnswer: -1003012310333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-6))\/((20\/5)\/124). Let y = n - 46. Which is the nearest to 7\/4? (a) y (b) -1\/7 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-78))\/(-5)*-6.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -639 - 669 - 647 + 2669 + 11*v - 662 in the form y + h*v and give y.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 70. Let c = 459426245.99999992 + -459426271. Let x = q + c. What is x rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98 + 154 + 44 - 40*p + 27*p to z*p + i and give i.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 736203313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2356183 is divided by 294522?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**18)\/v)\/(v\/(v\/(v*(v*v**4)\/v)))*v*v**(-17)*v*v**7\/v assuming v is positive.\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 0)*(32\/12 - 1). Let n(o) = -13*o**3 + 2*o**2 + 6*o + 4. What are the prime factors of n(a)?\nAnswer: 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -20*m**3. Calculate the least common multiple of h(-1) and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -63 (b) 25 (c) 2\/467\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/4))**(-8))**(2\/13)\/((u*u**(-1\/4)\/u*u**(2\/7))\/(u**4*u\/(u*u**(-5)))) assuming u is positive.\nAnswer: u**(3375\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276 and 300732.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*k - 15 = -y, 4*y - 22 = k. Let t = y - 11. Let w be 1\/(-3) - 32\/t. Solve -3*h = -4 - w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 808, 1633, 2460, 3289?\nAnswer: 4120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3*(-12)\/18)\/((-2)\/(-3)). What is the second derivative of -r**h + 17*r - 80*r**4 - 2013 + 2014 + r**3 wrt r?\nAnswer: -960*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2042537777?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000030373 rounded to 6 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5733 - 16*o - 12*o - 5733.\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 7032395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 6*x + 3. Let j be r(-6). Suppose -u = -5*s + j, 4*u + 3*s = -0*u - 35. Let y = 53 + u. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/5250 and 7\/3000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -192, -349, -484, -585, -640, -637?\n\"Answer: 2*q**3 - q**2 - 168*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/52377, -3\/169 in ascending order.\nAnswer: -1, -3\/169, -2\/52377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-9)\/810*-12)\/(8\/28).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*g + g**3 - 23*g + 23 + 28*g**2 - 19*g**2 + 1.\nAnswer: (g - 2)*(g - 1)*(g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 146, 139, 130?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 31115?\nAnswer: -31110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 4:09 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**4\/24 - s**3\/6 - 5*s**2. Let q(m) = -2*m**2 - 5*m + 3. Let d(p) = -2*i(p) - q(p). Is d(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 1. Let z(s) = -8*s. Let m(n) = -8*n + 1. Let i(a) = -3*m(a) + 4*z(a). Let g(d) = i(d) + 3*x(d). Let q(c) = 2*c. Give q(g(v)).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-3 - 11*b**4 + 3).\nAnswer: -11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 39*a + 128. Let m be i(-3). Let c(l) = l + 13. Let r be c(-10). Solve -6*o + 1 = -r*t - 2*o, -m*o + 33 = 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ytyyyytttyyt.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + y = -4*y - 29, -y - 9 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blee when four letters picked without replacement from {l: 1, b: 2, c: 4, e: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**2 - 160158*u + 320304 = 0. Calculate u.\nAnswer: 2, 53384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Let u(y) be the third derivative of -13\/4*y**4 - 90*y**2 + 0*y**3 + 0*y + 0. Give k(u(p)).\nAnswer: -78*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(-15))\/((-2)\/(-18)). Let h(t) = 4 - 1 - t**3 - t - f*t**2 - 4*t**2 + 8*t**2. What is h(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**3 + 5*l**2 + 3*l + 2. Let g be o(6). Let v = -771 - g. Suppose v = b - 4. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*l**4 - 14*l**3 - 1747*l.\nAnswer: -168*l**2 - 84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/11649216 and -19\/166.\nAnswer: 11649216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 0.05, 0.7 in descending order.\nAnswer: 3, 0.7, 0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**8*q*q)\/q)\/(q*q**8)*(q*(q**(-9\/5)\/q)\/q*q)\/(q\/(q*q**(2\/9))) assuming q is positive.\nAnswer: q**(-71\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.203957 millilitres in litres?\nAnswer: 0.006203957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 2.451488?\nAnswer: -2.651488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 1215*x**7\/14 - 14*x**3 + 25*x**2\/2 + 370*x + 1. Find the second derivative of q(p) wrt p.\nAnswer: 72900*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 - 8*u**2 - 23*u + 416. Let o be s(0). Let c(v) = v**3 + 52. Let x be c(0). Calculate the highest common factor of o and x.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + (sqrt(2448) + -1 - sqrt(2448))**2 + sqrt(2448) + -3.\nAnswer: -7 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-9408)\/(-18))\/(-28) + 21\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8155037.795 to the nearest one thousand.\nAnswer: 8155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109615973?\nAnswer: 1409, 77797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7659 + -5379. Calculate the highest common factor of 95 and s.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 4:36 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.5.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*z - 37*z - 55*z)*(-2*z**2 + 7*z**2 - z**2)*(0 + 3 - 5 + (-2 + 3 + 1)*(-3 + 2 + 0)).\nAnswer: 1920*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 99?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 1:11 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1175 equal to -1167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 2*w - 26 = 0, 3*k - 14*w - 3 = -9*w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10293572 is divided by 376?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ghddd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 34 + 19 - 9*u - 14.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842283 is divided by 4011?\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 5*v**2 + 59015*v + 3581310 = 0.\nAnswer: -11742, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -1.23?\nAnswer: 6.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4196a1 - 3bb?\nAnswer: -419aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001344344 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 24272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 14. Which is the nearest to -3? (a) z (b) 0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, i: 3}. Give prob of picking 1 m and 3 i.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14732, 29474, 44234, 59018, 73832?\nAnswer: 88682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 4*r**2 - 3*r + 14. Let u be n(4). Solve 5*t = -5*v - 5, -u*t + 2*v = 7 - 17 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.445957616 rounded to 3 decimal places?\nAnswer: -0.446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 379, 767, 1155, 1543, 1931, 2319?\nAnswer: 2707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 296217 and 64395.\nAnswer: 1481085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -10. Suppose -2*v + b = 4*o + o, 0 = o - v + 2. Suppose 0 = 5*x - 11 - 14. Solve o = -5*s - x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 15.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*g - q - 15, -3*q + 11 = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from {f: 4, x: 1, o: 10, b: 4}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - j - 141 = 0, 0 = 5*r + 4*j - 202 - 183. List the prime factors of r.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.22 - 0.22. Which is the closest to -0.2? (a) k (b) 2\/13 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 - -60. Let u be 0 + p\/(-3) - 16\/48. Solve 2*t - 5*t = -5*f + 11, u = t + 5*f - 23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 394*m**3 - 20*m**2 + 24*m - 3. Let t be b(1). Calculate the highest common factor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 102\/153 + 49\/(-105). Which is the nearest to -2? (a) 0.4 (b) -2 (c) 16 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25, 92, 221, 412?\n\"Answer: 31*n**2 - 26*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + y - 10 = 0, -7*o = -3*o - 5*y - 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136 + 4*n**3 - 4*n**3 - 191*n**4 + 103*n**4 wrt n.\nAnswer: -352*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 11:19 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 2:50 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**4 - 2*o**4 - 2*o**4 + (0*o - 5*o + 3*o)*(-2*o**3 + 3 + 2 - 4).\nAnswer: 3*o**4 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*sqrt(11)*2*-5.\nAnswer: -3 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*g + g**3 + g**2 + 4*g**4 + 5 - 2*g**2 - 11*g + 0*g**2 to the form c + s*g**2 + y*g**3 + r*g**4 + d*g and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8390891 and 7610343.\nAnswer: 327244749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 12*i**2 + 20*i + 2. Let q be f(10). Suppose -95 = -q*d - 3*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -4, 63260?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 - -210. Let w = x - 291. Solve w = -q - 0*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**4 + 82*c**3 + 4742*c - 4743*c - 75*c**3 + 57*c**2 in the form m*c + z + i*c**4 + w*c**3 + u*c**2 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 3*z + 10. Let a = -63 + 72. What is the units digit of f(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 - 99 = 3*m. Suppose 0 = 3*g + m*b - 3*b + 2, g + 4*b + 8 = 0. Are 54 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*d**2 + 28*d**2 + 48*d**2)*(0 - 2*d + 0) - 2 + 2*d**3 + 2.\nAnswer: -66*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/111269493 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttoetteotso. Give prob of sequence oes.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -13*t - 13. Let i(f) = -2935*f + 896 - 916 + 2916*f. Calculate 5*i(k) - 7*q(k).\nAnswer: -4*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (64 - -8) - (-21 + 8 - -7).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3341060 rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.93+-1555.59\nAnswer: -1553.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 3. Let z = 21 - 29. Let k = 11 + z. Solve 0 = t - k*t + r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 110025 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 31, -1\/13, 833, -5?\nAnswer: 833","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 985 a factor of 16968595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 13*q**3 - 4*q**2 + 9*q - 18. Let g(z) = 11*z**3 - 5*z**2 + 8*z - 17. Let k(n) = 5*g(n) - 4*h(n). What is the hundreds digit of k(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 8 = -5*m, 17*m = 12*m - 2*s + 28 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - j = -2, -35097*n + 35093*n + 2*j - 12 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900)*-2)\/(sqrt(21)\/(sqrt(14)\/sqrt(2) + sqrt(7))).\nAnswer: -40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -5*j - 2, -j - 23 + 29 = -2*z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c + 14. Let j be z(-15). Let u = -35 - j. Let h(b) = b**2 - 11*b + 11. Let v be h(u). Are 11 and v unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - (-17 + -2 + -4 - -11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 176)\/5 - 4. Let p = 32 - c. Let o = 26 + p. What is the remainder when 106 is divided by o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1386 and 1721412.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 744 + -376. What is the smallest common multiple of 18 and u?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202333303 (base 4) to base 8\nAnswer: 427763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0060628 to 4 decimal places.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*r + 724 + 103, 269 = -h + 2*r. What is the units digit of h\/2*(2 + 52\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*d = -4*d - 188. Solve f + 18 = -5*c, 3*c - 5*c - 2*f - d = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 7*j**2 + 5*j - 23. Calculate the smallest common multiple of o(-4) and 79.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/3, -0.05, -1, 71, -3\/53?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/195307392 and 13\/32544?\nAnswer: 585922176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s. Suppose s*g = -2*g - 20. Let k = g - -7. Does k = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Let s = -15 - -43. Suppose c*j - s = -4*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 1785.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 92*d**2 + 3*d - 114. Let q be k(-92). Is q > -392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-6))\/(1\/(-6)). Let f be (v - 2)\/(0 - -1). Let y(i) = 2*i + 0*i + f*i. Let w(o) = 2*o**2. What is w(y(j))?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1277 (base 9) in base 8?\nAnswer: -1701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*m = -55*m - 5*x - 10639, -4*m - x + 21311 = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 226286?\nAnswer: 226282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 580 and 232.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*v - 67 = -5*i, -2*v + 120 = 5*i. Sort 4, i, -1 in decreasing order.\nAnswer: i, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-109)\/436)\/((-4)\/(-6)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 5. Suppose 0 = -6*m + 573 - 537. Let a be ((-21)\/m)\/((35\/10)\/7). What is p(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*w = -77*w + 420. Suppose -h = -4*d - 26 + 21, -2*d + 3*h - w = 0. Find y, given that -1\/3*y**4 + d + 1\/3*y**3 + 2\/3*y**2 + 0*y = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 12*g - 63*g**2 - 45*g**4 - 8*g**3 + 20*g + 61*g**4.\nAnswer: (g - 2)*(g + 2)*(4*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*c - 3. Suppose -c*a - 120 = -480. What is the greatest common divisor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7585, -8201, -8819, -9439, -10061?\nAnswer: -10685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 8. Let x(o) = -2*o + 7. Give -6*d(h) - 7*x(h).\nAnswer: 8*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1424423320 (base 5) to base 9\nAnswer: -7043074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1732\/5 (b) -2\/3 (c) 2\/5 (d) 4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.47, 25, 2, -3, 10, 4, -4\/7 in increasing order.\nAnswer: -3, -4\/7, 0.47, 2, 4, 10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 + -18. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + z + 2 = 0, 5*y + 4*z + 11 = -0*y. Let d be (39\/(-20))\/(-3) - (-124)\/(-310). Is d less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/264*4\/(-3). Which is the third biggest value? (a) 3 (b) 0.3 (c) o (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62200 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h**3 + 28*h**2 - h - 4. Let w be a(-23). What is w rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2\/2 + 13*z - 5\/2.\nAnswer: -(z - 5)*(5*z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*t + 203*t - 10503 - 198429. List the prime factors of t.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -g - 19, 0 = -2*g - 2*a - 175 + 197 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 401.3429054 rounded to the nearest ten?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 22*s + 53*s - 42*s + s + 7*s + 7*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-31)\/155)\/(2\/(-3)*(-66)\/(-220)). Let u(d) = 5*d**3 - 3*d**2 + d - 4. Let o(x) = -x**3 - x**2 + 1. Determine s*u(w) + 3*o(w).\nAnswer: 2*w**3 - 6*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 57*s + 314. Give i(11).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -l + t, -62*l + 5*t - 75 = -67*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89670 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 + (-4 + (-102)\/(-24))*-218. Let u = -2 + 3. Does u = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 24*r**2 - 5*r. Let w(n) be the third derivative of -n**5\/60 - n**4\/24 - 55*n**2 - n. Give v(a) - 4*w(a).\nAnswer: 28*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -38*z - 118. Give k(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1 + sqrt(1216))*6)**2*5 - (1 + sqrt(475) + (-1*sqrt(152))\/sqrt(8) + 4).\nAnswer: 8636*sqrt(19) + 220495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + x**2 + 3. Let t be z(0). Suppose 14 = 2*c - 3*a, -t*a - 5 - 1 = 0. Solve -d - c*d + 10 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (21 + 8 - 12 - -2).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6*r - 10, -r = 2*h - 94. Let u(z) = z**3 - 2*z**2. Let c be u(3). Suppose 4*q = 2*k - h, -c = 5*q - 4. Solve -k = -3*t - 7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 13. Let z(p) = 3*p - 36. Let h(g) = 11*o(g) + 4*z(g). Let n(j) = 3*j**2 - 6*j + 6. What is 6*h(t) + n(t)?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 28 - 48 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13219.\nAnswer: 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -497*x**2 - 2005*x + 44. Calculate c(-4).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 8*w**2 + 555*w - 143. Does 22 divide n(-99)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 3*z + 6, 18204*u - 18214*u = -4*z - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t**(-1\/4)\/t)\/t)\/t)**8)**(4\/5)*((t\/(((t**(2\/5)\/t)\/t)\/t))\/(t*(t\/t**(-12)*t)\/t))**(2\/13) assuming t is positive.\nAnswer: t**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*z**3 + 273*z**2 + 1046*z**2 + 140*z**2 + 6*z**3 + 26*z**6 + 455*z**2 wrt z.\nAnswer: 3120*z**3 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203 (base 13) to base 6.\nAnswer: -1325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20727587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.83 - -14.83. Which is the second biggest value? (a) 3\/5 (b) -79 (c) h (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 15, -1 in decreasing order.\nAnswer: 15, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 486678*u - 3846. Let w be i(-43). Round w to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -303, -4, -12645, -5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 785680 (base 11) to base 14\nAnswer: 248374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54*f*p**3 + 614*f*p**2 - 39*f*p - 3*f - 2*p**3 + 3*p**2 + 27823*p + 2 wrt f.\nAnswer: -54*p**3 + 614*p**2 - 39*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 336, 4, -2\/11, -2\/3, -0.4, 0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(3 + 340\/(-15))*-87 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93*o**2*q + 6219*o**2 - o*q - q - 601668 wrt o.\nAnswer: -186*q + 12438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 81 = 6*x, -139*d + 136*d + 33 = 3*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 4*t. What is p(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 3. Let d be c(0). Let y be (-172)\/20 + 4\/(-10). Let j = d - y. Solve j = 2*p - 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -0.9. Let l = 0.2 + p. Let g = 24 - 24.4. Which is the second biggest value? (a) g (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11502011, 46008030, 103518061, 184032104, 287550159?\nAnswer: 414072226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 + 7)*(-585)\/(-6). Let r = a + -110. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 divided by -4?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35402 + -35407. Which is the second biggest value? (a) 4 (b) z (c) 0 (d) -1\/5 (e) 0.48\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -213 - -156. Round j to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223 (base 5) to base 7.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1657 or -1999?\nAnswer: -1657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (42\/(-35))\/(2\/(-30)). Let j = n + -47. Let k = -30 - j. Let y(r) = r + 1. Let c(u) = u**2 - u. What is k*y(q) - 3*c(q)?\nAnswer: -3*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u - 75. Let a be r(25). Put 2, 10, a, 5 in descending order.\nAnswer: 10, 5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1677798608?\nAnswer: 2, 104862413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(486)*-1) + 4)**2 + 3 + (1*(sqrt(20) - (sqrt(40)\/sqrt(2) + sqrt(20))))\/(sqrt(20)\/(2*sqrt(2))).\nAnswer: -26*sqrt(2)\/9 + 1541\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490*t - 8148 = 1654*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - 1 + 1 + (-v - 5 + 5)*(4 - 3 + 0) + 3*v - 2*v - 3*v - 1 - v + 1 - 2*v - v + v + (1 + 1 + 3)*(9*v - 2*v - 3*v).\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -12*q**2 + q - 1. Suppose 2*z - 2*a = -38, 2*z + 0*a + 39 = a. Let i(w) = -w**3 - 10*w**2 - 8*w + 6. Let t be i(-9). Let d be t\/2 - z\/8. Give y(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2772 divided by 84?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h**2 - h**2 - 5*h**2)*(-h + 2 - 2) + 2 - 3*h**3 - 24 + 15 to the form q*h**2 + o + t*h + s*h**3 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -57 times 3\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -103\/5, -21, 1\/8?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*p**3 - 8*p**2 - 106*p - 2.\nAnswer: 84*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6328.7 - 6329. Which is the third biggest value? (a) -2 (b) z (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 23*m**2 - 3. What is l(-23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 7:07 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5353\/6 - 892. Suppose 2*v - 11 = -1. What is the closest to -4 in v, u, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/38, -2, -4\/5, 0.126 in decreasing order.\nAnswer: 0.126, -1\/38, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(((i\/(i**(1\/2)*i))\/i)\/i)*i*(i**(-4\/7)*i*i)\/i*i)\/(i\/(i**(-7)\/i*i*i)*i\/(i*i\/((i*i\/(i\/i**(-1\/3))*i)\/i))) assuming i is positive.\nAnswer: i**(53\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -894834 divided by 49713?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611620 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5685983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 16 = 2*k. Suppose -k*l = -5*l + 5. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**6\/96 + 13*v**5\/96 - 25*v**4\/48 - 47*v**3\/2 + v - 8. Let f(t) be the second derivative of z(t). What is o in f(o) = 0?\nAnswer: -5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(49)\/(-2*sqrt(7)*3) + -5 - (-2 + sqrt(7) + sqrt(63)*1 + sqrt(7) + -2*sqrt(252))*4)**2.\nAnswer: 835*sqrt(7)\/3 + 196123\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-2*(-1)\/6. Let i = -3 - -4. Let y be -2 + i - (-4)\/3. Is y <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*x, 2*g + 0*x = -x - 119. Let o = 174 + g. What are the prime factors of o?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4129 + 4121. Sort -3, 3, m.\nAnswer: m, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*n + 14*n + 26*n as q*n + x and give q.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199914 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968 smaller than -575.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5481254, 5481250, 5481244, 5481236, 5481226, 5481214, 5481200?\n\"Answer: -g**2 - g + 5481256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 49784 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66631*a**3*q**2 + 33*a**2 - 3*a*q**2 + 3*a*q + 45*q**2 wrt a?\nAnswer: 399786*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2 - 2. Let b(c) = c + 7. Let g be b(-5). Suppose g*j - 2 = -4*w, -w + u*j - 10 = 4*j. Calculate the lowest common multiple of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+17445140379.7\nAnswer: 17445140379.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vabpbapvvvsvsvbvsa. Give prob of sequence baa.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9 and 0.40931498.\nAnswer: 9.40931498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.785661 decades to months.\nAnswer: 334.27932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/5)*(((n**(-1\/15)\/n)\/n)\/n)\/n assuming n is positive.\nAnswer: n**(-67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 366936103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: -18 + 0 + -40 + 36 + 155 + 4\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7202463 is divided by 450147.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 8445 = 4*t, -672*t - 2*g - 4218 = -674*t. What is the highest common divisor of 429 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6024 and 6023 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 127952 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**2*u**(-4\/11)*(u**(-1\/4)\/u)**(1\/17) assuming u is positive.\nAnswer: u**(1169\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/6 - (33\/18 + -2). Suppose y = -6*g - 1 + 13. What is the smallest value in -4, g, -26, 3?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14825893?\nAnswer: 617, 24029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 o when three letters picked without replacement from {z: 4, e: 2, d: 1, o: 5, a: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w**2 + 12*w**2 + 19*w**2.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97 or -23\/2285?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**4\/9 + 52*g**3\/9 - 116*g**2\/9 + 20*g\/3 = 0.\nAnswer: -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*g = 24. Calculate the greatest common factor of g and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 1482*c**2 + 91620*c - 1387800.\nAnswer: -(c - 30)**2*(c + 1542)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20, -2\/9, -516, -14, 1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 3*h - 3. Let l be a(-4). Let m = l - -81. Suppose -4*k - 4*q + 41 + 31 = 0, m*q + 24 = k. 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 the tenth root of 13425 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -2\/43 (c) -2\/9 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 822607588 to the power of 1\/3, to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 392 = 4*b, 0 = b + 2*m + m + 94. Which is smaller: b or -96?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12874 and -11066618047.\nAnswer: -11066630921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10560947 plus 0.0572?\nAnswer: 10560947.0572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -8, 1\/23, -0.3, 31 in increasing order.\nAnswer: -10, -8, -0.3, 1\/23, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1 + 1 - y + 4. Let x(k) = k - 3. Suppose w - 1 - 3 = 0. Suppose -2*u + w = 0, -5*u = 2*r - 0*u - 2. What is r*x(a) - 3*v(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.97 - 7.03. Which is the second smallest value? (a) s (b) 2\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.42026?\nAnswer: 0.042026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(68) + (sqrt(68)*1)**2 + 3 + sqrt(425) + -1.\nAnswer: 7*sqrt(17) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32503 - g**2 + 0*g**2 + 16236 + 16267.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c - 81. Let o(s) = -2*s - 81. Let f(r) = 6*n(r) - 5*o(r). Let v be f(-6). Solve 0 = 6*k - v*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (7 - 17)) + (-2 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 10*u + 16. Let f be d(11). Suppose 4*q - 4 = -n + 8, -4 = n. Suppose -2*w + q = 3*z, -5*z + 12 = -w + 3*w. Put w, f, 1 in decreasing order.\nAnswer: f, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 4*z**2 - 13*z + 15. Let n(y) = y**2 + 4*y - 1. Calculate the remainder when c(3) is divided by n(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*f = -0*i + 9, -i + 2*f = 3. Suppose 4*l - d - 577 = 0, i*l - 39 = d + 393. Calculate the greatest common factor of l and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**3\/3 - 6*o**2 + 75*o + 334. Let h be j(10). Solve 71 = -4*b + h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -17. Which is greater: 10 or b?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-2 - -235) - 3. Let f be 12720\/54 - 2\/(-3). Let l = f + q. Which is the biggest value? (a) -0.5 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 2:53 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {t: 2, z: 1, q: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3240) - sqrt(3240)*2)\/(2*(sqrt(2) + sqrt(2)*-1) + sqrt(2))*6.\nAnswer: -108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4024.6 - 4025. Put s, 3\/7, 2, 627 in descending order.\nAnswer: 627, 2, 3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14944 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.4, 0.03, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (27\/6 - 2\/(-4)) + -2. Let b be (-27)\/(-18)*(-4)\/r. Is ((-502)\/4)\/(1\/b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -999552.\nAnswer: -1\/62472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1. Suppose -6*i + 12*i = 72. Let n(w) = 2*w - 14. Let j(y) = i*v(y) - n(y). What are the prime factors of j(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28014167\/726 + -38587. Find the common denominator of 101\/10 and t.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17438626 - 0.2\nAnswer: 17438625.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lg when two letters picked without replacement from lggglgggggggg?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005585 rounded to 7 dps?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(98)*-3 - sqrt(98))*-5 - (sqrt(98)*-3 + 4)))**2.\nAnswer: -1288*sqrt(2) + 51858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/7663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 8:19 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891064809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**2 - g - 5. Let b be c(-3). Let m = 53 + b. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 68*z**2 + 713*z + 114. Calculate the smallest common multiple of 5536 and v(55).\nAnswer: 5536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 59, 118, 193, 290?\n\"Answer: d**3 - d**2 + 45*d - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3269 + -2702. Calculate the highest common factor of k and 1053.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32085*z - 1673*z + 24636*z.\nAnswer: 55048*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/55 + 78\/85 - (-11800)\/850.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxmm when four letters picked without replacement from {w: 2, x: 11, z: 5, m: 2}?\nAnswer: 11\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455 = o - 5*v, -2*o + 2*v + 606 = -344. Suppose 5*a + a = o. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5732 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + -26)\/(-3) + -1*5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 6155104?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 25178843 greater than 25178845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -39*a - 1. Let v(k) = -14 - 95*k + 201*k - 103*k + 14. What is v(p(m))?\nAnswer: -117*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4317624 divided by 81\nAnswer: 53304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 1682, 1.\nAnswer: 0, 1, 2, 1682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 20*g**2 - g - 9. Calculate the smallest common multiple of 8 and k(-20).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578051407?\nAnswer: 37, 15623011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g + 167. Suppose -28661*u + 28651*u = 530. Give c(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131878?\nAnswer: 2, 233, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (408\/(-544))\/(1\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, x: 4, n: 4}. What is prob of sequence txnn?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 146 + 6*f - 289 + 148. Let o(a) = -4*a - 3. Calculate -8*o(s) - 5*w(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b - 106*b**3 - 40*b**4 - 16 - 2*b**2 + 106*b**3 + 158*b**4 wrt b?\nAnswer: 1416*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-56)\/(-24) - 7)*-3531 + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 180 + 44. Suppose 0 = x - f + 21. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 319108617 or 319108615?\nAnswer: 319108615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2\/3, 0, -0.125, 3\/22 in decreasing order.\nAnswer: 2\/3, 3\/22, 0, -0.125, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 7 = -2*h - z, -h - 3 = -z. Let f be (-4 - -3) + (-4 - (-5 - h)). Let m be (-172)\/43 + 2\/(f\/(-10)). Solve 0 = s + m - 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9585 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7105, -5950, -4025, -1330?\n\"Answer: 385*l**2 - 7490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-131 - 7815\/(-60))*(-3)\/((-774)\/8).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.73 + 1.26. Let y = 0.6 - l. Let i = -0.03 - y. What is the nearest to -2\/3 in 0, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 172 - 143 = -3*o, -5*i - 2*o = 816. What is the common denominator of (-423)\/i - (-2)\/2 and 3\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6778.868 tonnes in micrograms?\nAnswer: 6778868000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + 0 + 5*k - 2 + 3*k**2 + 4. Let x be g(-5). Solve -3*o - o = -h + 7, -o - x*h - 4 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 - 31*q**2 + 17*q**2 + q - 32 + 13*q**2 - 4*q**3 in the form j + z*q**3 + o*q**2 + x*q and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7381.492 milligrams in tonnes?\nAnswer: 0.000007381492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3cc1c8 - -1d7?\nAnswer: -3cbee1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6055*f*m*o - 2*f*m - 2*f*o**3 + 97*m*o**3 - m*o + m - 7*o**3 wrt f?\nAnswer: 6055*m*o - 2*m - 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 2860836606.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297, 299, 301, 303, 305?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.69597cm in meters?\nAnswer: 0.4769597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 3:13 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*g - 504*g - 813 = 531*g - 14637 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 4, 0, -1, 165 in descending order.\nAnswer: 165, 4, 3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -24*h - 3. Let n be w(-6). Suppose m + 2*m = n. Let i = 189 - 173. Calculate the remainder when m is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**4\/6 - w**3\/2 - 2*w**2 - 5*w. Suppose c + 6 = 3*c. Let j be p(c). Solve r = j*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 7:33 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Let r(g) = 2*g. Calculate -2*i(y) + 2*r(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18\/13 - 316\/247. What is the second smallest value in p, 0.9, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*o - 14*o - 11*o)*((6 + 4 - 5)*(3 - 3 + 2) + 3 - 6 + 1)*(13*o**2 - 3*o**2 + 2*o**2) as p*o**3 + v + n*o + u*o**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -j + 259, j + 789 = -419*t + 422*t. What is the remainder when t is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31564559 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -725*q**2 + 1676. Let y(v) = -v**2. Give y(g(m)).\nAnswer: -2102500*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(2\/13)\/x))\/(x**4\/x))**(-2\/9)\/((x**1*x**(3\/4))\/(x**(5\/2)\/x**(3\/2))) assuming x is positive.\nAnswer: x**(-77\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 7:27 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31769 - -31785. Solve 386 - 370 = -l*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3274 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -24*m**3 - m**2 + m + 1. Let c be r(-1). Let g = -14 + c. Let o(q) = -18*q. Let w be o(-4). What is the highest common divisor of g and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - -14) + 36 - (-15 + 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*s + 9. Let w = -3 + s. Suppose 2*x - 5*j - 429 + 148 = w, 4*j + 12 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 15 = 0, 7 - 16 = -5*k + 2*j - 5*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 84. What is the tens digit of c(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -516*y + 527*y - 1320. Is 483\/4 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15620, -15623, -15626?\n\"Answer: -3*x - 15617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 + 1)\/1)\/(-30 - 1936\/(-64))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*14*6*(-13)\/(-1638).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 37583?\nAnswer: -15033.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 45388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.01 (c) 0.2 (d) -0.2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 35 = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 + 3 - 3 + 12*m**5 - 2*m**5 + 2*m**5 - 96*m**5 - 5624*m + 5624*m + (-m**2 - 3*m**2 + 3*m**2)*(-3*m**3 + 0*m**3 + m**3).\nAnswer: -83*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9235943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwwx when four letters picked without replacement from {w: 10, c: 3, a: 1, x: 2}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*t - 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**2 + 4070*z - 1749375 = 0.\nAnswer: -1125, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 9385990 and 284.\nAnswer: 9386274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -573, -2348, -5279, -9354, -14561, -20888, -28323, -36854?\nAnswer: -46469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*i - 115*i = -65*i - 2235. Solve 2230*a + 5 = i*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 108.681342 to the nearest integer.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {j: 3, v: 1, b: 12, g: 4}?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33243 or 2\/59?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 8*r - 11*r + r + 6 + 4*r. Let a(w) = -3*w - 7. Suppose -5*x + 12 = -13. Give x*d(f) + 4*a(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -21, -32, -43, -54, -65?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -153*p + 32. Let k be d(0). Let m(j) = 18*j**2 + j + 2. Let s be m(-2). What is the greatest common divisor of k and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 143 + (-23 + 6 + 4 - -5)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188700 by -1258.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 4*c**2 - 3*c**2 + (-3*c - 4 + 4)*(-4*c - c + 3*c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1. Let r(c) = c. Let i = -168 - -167. Let y(x) = i*r(x) - 5*n(x). What is y(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -854*c + 5327 = -6438 - 4461 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157 + 160. Solve 0*s = -3*s - 4*u - 11, -5 = -s + l*u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1347, -1415, -1601, -1965, -2567, -3467, -4725, -6401?\n\"Answer: -10*x**3 + x**2 - x - 1337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 517553625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + 0*z - 5*z + (5 - 1 - 1)*(23 - 23 - 11*z) in the form q + g*z and give g.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*l**3 + l**2 + l - l - 14*l**3 as y*l**3 + i*l**2 + h*l + d and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14644 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + 3. Let l(n) = -31*n + 38. Let o(c) = -l(c) + 4*v(c). What is the units digit of o(30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - -9*2\/15*5. Suppose -218*s + 243*s + 100 = 0. What is the nearest to -1\/4 in a, s, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790814 = 74*m - 788372 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u + 4. What is the units digit of 22\/u*4\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 186 - 117 - 48 - -88.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 - -197551284916.\nAnswer: 197551284942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 8. Suppose 2*x = 3*l + 3 - 11, 3*x - 1 = -a*l. Suppose l*p + 659980 = -v - 3*v, -989995 = 3*p + v. What is p rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362 = 40*m - 384 + 346. Let y be (-3)\/9 + 32\/6. Solve -y*o - m = -0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2904 - 2026. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 11*r**2 + 100*r - 39. Let w = 473 - 477. Let b(l) = 21*l**2 + 200*l - 79. Let x(y) = w*b(y) + 9*h(y). Factor x(m).\nAnswer: 5*(m + 7)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -218 or -216?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.58, 2, 1\/6, 0.07, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h**2 + 600*h - 88. Let s be v(-86). Which is the closest to -6? (a) 4\/7 (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 701.6 plus -0.4?\nAnswer: 701.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2709145 is divided by 46709.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-2))\/(1*12\/(-2))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 2*t + 12, 9*h - 29 = 7*h - 425*t + 431*t + 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/12768 and 163\/11856.\nAnswer: 165984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.12, -2\/13, 0.1, 2\/13 in increasing order.\nAnswer: -2\/13, 0.1, 2\/13, 3.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81787 - -81786. Let c(f) = -6*f**2 + f - 4. Let m(j) = 11*j**2 - j + 7. Let x(i) = -5*c(i) - 3*m(i). Determine x(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211884 divided by 6\nAnswer: -35314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggogogogogg. What is prob of sequence oo?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-174)\/(-36))\/29*-2*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/137 (b) -3\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6453*n + 2149*n + 2*n**2 + 2150*n + 2153*n + 45*n**3. Let w(f) = 224*f**3 + 11*f**2 - 6*f + 1. Calculate 11*i(b) - 2*w(b).\nAnswer: 47*b**3 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i. Let k be n(2). Suppose -2*j + k*j = 10. Suppose -5*y + 37 = 4*q, -q - y = -j*q + 7. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100101000001000101 + 1110?\nAnswer: 1100100101000001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 + 0.51. Let t = s + 0.49. Let y = t + 0.6000022. Round y to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2 + 10. Let y(n) = -n**2 + 2*n + 5. Let j(i) = -41*i**2 + 86*i + 215. Let d(f) = 6*j(f) - 258*y(f). Calculate v(d(q)).\nAnswer: 432*q**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90158.\nAnswer: 2, 61, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*l = -56, 2*k - 3*l = -0*l - 56. Let c = k + 41. Suppose -12 - 3 = -5*r. What is the remainder when c is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -1 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -7 + -29 - (1 + -17) - 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -23 - 3\/2*k**4 + 8\/35*k**5 - 24\/7*k**2 + 8\/7*k + 74\/21*k**3. What is p in g(p) = 0?\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 826, 812, 800, 790, 782, 776?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -5. Suppose s*w - 3*w + 327 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - (-25 + 2)) + -3 - (0 + 0 - -7).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-1476)*-6*2. Which is the second biggest value? (a) -1\/3 (b) -0.3 (c) 2\/3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-7\/5)\/(l\/(l\/l**(5\/2)*l)))\/(l\/(l\/l**(-1\/25))*l*l\/((((((l*l**(16\/5))\/l)\/l)\/l*l)\/l)\/l*l)*l*l))**(1\/11) assuming l is positive.\nAnswer: l**(-283\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p = -454 + 80. Let x(y) = 5*y + 20. Let h(w) = -2*w - 7. Determine p*h(a) - 6*x(a).\nAnswer: 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -327.7 + -3460020436?\nAnswer: -3460020763.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 5809006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 162373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 7*g**2 + 0*g + 1\/8*g**4 + 0 - 1\/60*g**5 + 2\/3*g**3. Give m(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 6*t + 69. Determine k(13).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {b: 2, f: 1, n: 6, z: 7, g: 2}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 26*w**2 + 3*w + 88. Let p be f(-26). Let t be (p\/(-72))\/(11\/(-88)). Solve -t*o + 4\/3 + 2\/9*o**2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66*a + 1557\/8 + 3\/8*a**2.\nAnswer: 3*(a - 173)*(a - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, h: 2, d: 4, x: 3, p: 7}. Give prob of sequence pdn.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by 2?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) -1\/6 (c) -5\/7 (d) 0.1 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 + i - 5. Let s(q) = 4439*q**2 - 1270*q + 25. Let p(d) = -5*l(d) - s(d). What is the second derivative of p(f) wrt f?\nAnswer: -8858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -0.1, 1\/4, 3\/2, -12.\nAnswer: -12, -0.1, 1\/10, 1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 298249697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -970 + 980. Calculate the highest common divisor of y and 415.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 + 4 - 3 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 6. Suppose 1 + 7 = c*y. Suppose 2*a = -3*g - 2*a + 6020, 3*g + y*a = 6010. What is g rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 540 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 - (-10 + 14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1672*i**5 - 2158*i**2 + 4306*i**2 - 2008*i**2 wrt i?\nAnswer: 100320*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39052943?\nAnswer: 39052943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*l**2 + 57*l**2 - 33*l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/16)\/(4\/(-40))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78374 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*j**2 - 174*j**2 + 506*j**2 - 167*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 106*y + 106*y - 5*y**3 to the form t*y + d*y**3 + j + f*y**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2751.53, 1, -19\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 4:19 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103 - -130. Suppose 3*p = -r + 48. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 12 + (1 - (2 - 11))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/24, 2\/25, -3\/4, -3 in increasing order.\nAnswer: -3, -3\/4, 1\/24, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -97*u + 1\/14*u**7 - 97\/30*u**6 + 0*u**2 + 56\/3*u**4 - 2 + 0*u**5 + 0*u**3. Find the third derivative of d(q) wrt q.\nAnswer: 180*q**2 - 2328*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-70)*3283\/402.\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 5:17 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 527 = -29*v + 5*v, 69 = -4*v - 4*b - 23 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -31605*l + 1232597. Give s(39).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -44.3, -199, -0.3?\nAnswer: -44.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -26267 <= -499062\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0, 3, 5, 41, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 19*n + 8. Let f be a(-9). Let i be (12*(6251 + f))\/(1\/160). What is i rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1363 or -1\/69?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4)*(-36)\/1. Suppose y = -5*y + h. Let o be ((-1)\/(-33))\/(5\/y). Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 6*j**2 - j - 1. Let a be v(-6). Let u be (-2)\/(-1 - 0) + -5. Let o be (3 + -3)*(-1)\/u. Solve -25 = -a*g - o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a9 + -7?\nAnswer: 5a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) -1\/4 (c) 0.0369 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1 + 0 + 10*v**2 + 7 - v**3 - 11*v + 3. Let g be s(9). Let k be (-2)\/(-6) - 33\/g. Solve k*d = -0*f + f - 17, f - 2*d = 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**5 - 2*o**5 + o**5 + (-63*o**4 - 65*o**4 + 49*o**4)*(3*o + 3*o - 3*o).\nAnswer: -238*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64718 is divided by 372?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2.4. Let d = 0.2 + -0.7. Let f = d - k. What is the second smallest value in 1\/6, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454*d + 727*d + 1414*d + 8.\nAnswer: 2595*d + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -36, -155, -384, -759, -1316?\nAnswer: -2091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 2575?\nAnswer: -2573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5792*y**2 - 32*y + 3. What are the prime factors of b(1)?\nAnswer: 3, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4 + (-243)\/4 + 1. Let x = 99 + c. List the prime factors of x.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -687, -688, -689, -690, -691?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6383308?\nAnswer: 2, 1595827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t**3 + 7*t**2 - 2*t - 7. Let q(j) = 2*j**3 - 2*j**2 + j + 2. Let b(y) = 7*q(y) + 2*u(y). Let x(s) = 2*s**3 + 3*s. Determine 2*b(g) - 3*x(g).\nAnswer: -2*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1005\/30 - (-15)\/(-30). Solve -18 = 15*h - f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -4 (c) 15 (d) 4 (e) 0.044 (f) -0.1 (g) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2. Let q(k) = -5579124*k**2. Calculate q(g(f)).\nAnswer: -50212116*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -14934320*w. Let i(s) = -2*s. What is i(j(z))?\nAnswer: 29868640*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 157? (a) -2 (b) -149 (c) 6 (d) -3\/4 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 5265444.\nAnswer: 47388996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89715 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*p + 26, -x - 2*p = -4*p - 10. Sort -14, x, -2 in descending order.\nAnswer: x, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -255461496*o**2 + 5970769 wrt o?\nAnswer: -510922992*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 100001110110 (base 2) to base 13\nAnswer: ca8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -0.18, 5, 4?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3256, 6564, 9872, 13180, 16488, 19796?\n\"Answer: 3308*p - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aif when three letters picked without replacement from {a: 4, s: 2, f: 1, i: 3, j: 6}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*((4*(sqrt(108) + sqrt(108) + 1))**2 + sqrt(108))*-6.\nAnswer: 84240*sqrt(3) + 1496448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 5 (c) 372\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.064269276*3.\nAnswer: 0.192807828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 10 + 4 - 12 - 7 + 85*o.\nAnswer: 85*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6051, -12100, -18149, -24198, -30247, -36296?\nAnswer: -42345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v - 3*v + 51*v**3 - 4*v - 6.\nAnswer: 51*v**3 + 2*v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - 4*o - 5. Let n be f(4). Let w = n + -7. Let s(d) = d**2 - 6*d - 4. Let p be s(7). Solve w*u + p + 2 = c, 0 = 2*c - u + 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 8 - (4 + -1 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25.4 + 25.7. Let r = -3.07 + 3. Let a = -2.93 + r. Put 1, a, o in descending order.\nAnswer: 1, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, s: 2, y: 7}. Give prob of picking 2 s and 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -70181.487 rounded to the nearest 1000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113 + -39. Let q = v + 44. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 510\/(-10)*13*(-11)\/(-858)*4.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 49 = -0*p - s, 0 = 5*p + 5*s - 75. Is ((-498)\/8)\/((-6)\/p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4603 - -4838.65. Let n = -18.95 - x. Let w = n - -279. Round w to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 1\/20*p**5 + 0*p**3 - 10*p**2 + 0*p + 0*p**4 + 0. Let g(a) = 4*a. What is r(g(o))?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10721*w**6 + w**5 + w**3 - 27*w**2 - 71*w + 5?\nAnswer: 1286520*w**3 + 60*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0 = 2*v - 24, 0 = 2*v - 2*h - 22. Suppose v*m = 6*m + 172. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -694, -1063, -1434?\nAnswer: -1807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 348309118 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwswqwqsqwszszsqwsk. Give prob of sequence sss.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 10:02 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3523404?\nAnswer: 2, 3, 293617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 = -0. Is (4\/(-10))\/(n\/(-230)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 5*w**2 - 3*w - 2. Suppose -3*g = 2*h + 12 - 3, -2*h - 12 = 4*g. Calculate x(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 1, -77, 5 in increasing order.\nAnswer: -77, -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.14 to the nearest integer.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -273610630 to the nearest one million.\nAnswer: -274000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 812862 by 45159.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/4 + f**4 - 5*f**3\/4 + f**2\/2.\nAnswer: -f**2*(f - 2)*(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-13360296.\nAnswer: -5344118.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in decades?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.611 and 0.12.\nAnswer: -0.19332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 387 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1987, -1968, -1937, -1894, -1839, -1772, -1693?\nAnswer: -1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/5))**(-21)\/((p*(p\/((p\/(p\/(p*p**7*p*p)))\/p*p)*p)\/p)\/p**(-2\/37)))**(-12) assuming p is positive.\nAnswer: p**(-26964\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**3\/3 - 17*g**2\/2 + 64*g - 202. What is i(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 2*s**5\/25 - s**4\/10 - 2*s**3\/3 - 3*s**2\/5 - 45. Factor r(g).\nAnswer: 2*g*(g - 3)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.42 (b) 2092 (c) 8\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k + 2*k**2 + 2*k - 4*k**2 + (1 - 1 - 2)*(k**2 - k**2 - 2*k**2) - k**2 + 2*k - 2*k to z + m*k**2 + r*k and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 5*v**2 + 5*v + 6. Let k be u(6). Let o(q) = -5 + 4 - 3 + q. Give o(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1431 - 1427. Let y(u) = -6*u - 5. Let x(q) = -3*q - 3. Let j(i) = 5*x(i) - 2*y(i). Let w be j(-4). Solve -a = z*p + w, a + 2*p - 2 = -3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (16\/2)\/(8\/36) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbk when three letters picked without replacement from {k: 3, l: 3, s: 4, q: 5, b: 4, u: 1}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -336 (base 9) to base 2\nAnswer: -100010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 19. Suppose s*n = 97 + 44. Calculate the remainder when n is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*f - 3, 3 = -a - 1. Suppose 2*u - 4*u = 4, h + f = -2*u. Solve -13 + h = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnvvvvvvvv?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1469396, 25, 0.\nAnswer: -1469396, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 228527 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10428.6 - -12454.664. Let p = 2015 - z. Let a = -11 - p. What is a rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 62*c + 3. Calculate p(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 3*l**2 - 2*l - 3. Let v(i) = 2*i**3 + 2*i**2 + 2*i + 2. What is 2*r(g) + 3*v(g)?\nAnswer: 4*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4884 rounded to the nearest one hundred?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395519980 = -4*c - 4*u, -5*u = -5*c + 522390927 - 27990902. Round c to the nearest one million.\nAnswer: 99000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 458 = 16. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 - 40. Suppose -387 = 3*c - 1371. What is the greatest common divisor of c and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9123 + -0.0877. Let u = 4.3 - 4. Let q = u + 0.7. What is the closest to 3 in f, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 + 49*k - 35. Give w(24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24328665?\nAnswer: 3, 5, 131, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 6:00 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + l**3 + 3*l**3 + l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)\/sqrt(44))\/(sqrt(28)\/sqrt(4)*5) + -4.\nAnswer: -4 + sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 263539394 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 2*z + 157. Give v(0).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7977 - -4818. Suppose 8*x - y = -7*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 6*k - 3. Let q be c(7). Suppose -3*o - q = -16. What is the second derivative of 9*y - 5*y**o + y**4 - 3*y**4 wrt y?\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 + 6 + -16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 57 = -h, g + 2 = 2*g. Let q = 67 + -24. Let k = h - q. Calculate the highest common factor of k and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55.06 + -52. What is y rounded to 1 decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, z: 2}. What is prob of picking 2 z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 792821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-292)\/(2*-1))\/1. Suppose -s = -2*o + 46. What are the prime factors of ((-1)\/2)\/((-8)\/o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 5*o - 29 = 4*u, -3*u - 7 = o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/56))**37 assuming w is positive.\nAnswer: w**(37\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-712320)\/(-16192) - 44)*11?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109 or 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-3 + (10 + -3 - -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40570603 (base 8) to base 15.\nAnswer: b47a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/8 of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-67 - -106) + -4 + -48\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40807, 40980, 41115, 41218, 41295?\n\"Answer: o**3 - 25*o**2 + 241*o + 40590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*b. Suppose 2*s + 2*s - 16 = b. Solve -s = -5*w + 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8406052595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 223471213 times -0.1\nAnswer: -22347121.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 2*t**3 + 0*t**3 + 2*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a + 12. List the prime factors of 3\/a - 5 - -44.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5527159 is divided by 1843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooyoooooy. What is prob of sequence oo?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 0*o**5 + 0*o**3 + 3*o**2 + 0 + 0*o**6 + 1\/3*o**4 - 6\/7*o**7 + 80*o. What is the third derivative of v(u) wrt u?\nAnswer: -2160*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.2 * -2.\nAnswer: 42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, -2, 4, -32\/29, 2\/5 in increasing order.\nAnswer: -113, -2, -32\/29, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91425)\/6360 - (-45)\/3)\/(105\/18)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6*b + 28. What is the tens digit of k(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.8 - 4.2. What is the second biggest value in 1, -1, k, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1579453.5 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n. Let i(l) = 64031*l. Calculate c(i(q)).\nAnswer: 64031*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o**3 + 2187133*o - 2187133*o.\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3)*(-9)\/171*1. Let b = j + -109\/285. Which is greater: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwswwwwwwswwws. What is prob of sequence wwww?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u + 16. Suppose 22 + 6 = 7*p. What is j(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + -1*(0 + sqrt(5) - sqrt(5))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2 + 6*n + 0 - 2*n. Let g(v) = 2*v + 12. Let d be g(-5). Let y(b) = 2*b - 1. Let r(m) = -6*m**2 + m. Let z be r(1). What is d*c(t) + z*y(t)?\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/4 - 39*m\/4 - 9.\nAnswer: -3*(m + 1)*(m + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-150)*5\/2. Let t = 1558\/15 + -104. Which is the closest to -1? (a) -4 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254319722 divided by 4.\nAnswer: 127159861\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 0, -4, -62.\nAnswer: -62, -4, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**5\/5 - 3768*u**4\/5 - 1349577*u**3\/5 - 104181132*u**2\/5 - 422133744*u + 443240640 = 0 for u.\nAnswer: -580, -61, -36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -7. Suppose -w - 2*w + 4*z + 250 = 0, u*w - 165 = 3*z. Suppose v - w = 71. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/17, -0.3.\nAnswer: -0.3, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**3 + 2*r**2 + 279*r - 2413. What is q(8)?\nAnswer: -1589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) 0 (c) 0.054 (d) -3 (e) 0.4 (f) -149 (g) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.435863cm?\nAnswer: 0.03435863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5*v = 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 9*q + 5. Let w be t(9). What is the second derivative of m**5 + 4*m - 5*m**5 + 8*m**w wrt m?\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - -1*(-12)\/4. List the prime factors of r\/8 - 13\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254043 divided by -291.\nAnswer: -873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 0.2 (c) 0 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 140 (base 5) to base 14\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 4\/5*v**5 + 2*v**2 - 5 - v**4 + 8*v - 4*v**3. Let p(y) = 0. What is y?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x - 9. Let u be g(7). Suppose -42 = -u*a - 12. Let r(b) = b**3 + b + 1. Let j(m) = -5*m**3 - 5 - 1 - 6*m - 1. What is a*r(q) + j(q)?\nAnswer: q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2 + 4*r - 4. Calculate the remainder when l(3) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**6 - 15*q**4\/2 - 2*q**3\/3 + 160*q**2 - 76. Find the third derivative of j(b) wrt b.\nAnswer: 360*b**2 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -4) + 0 - (9 + -17 + 14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c + 29. Determine y(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a factor of 364581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s. Let p(y) be the third derivative of -y**4\/6 - 5*y**3\/6 + 11*y**2 + 4. Give n(p(g)).\nAnswer: -8*g - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -5\/17, -1\/6, 2, 8.1.\nAnswer: -5\/17, -1\/6, 2, 8.1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 83*b**3 - 507*b**2 - 2*b - 16. Give r(6).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 + 2\/1)*-3. Suppose -v = 4*v - s. Let d(f) = -3*f**2 + v + f**2 + f - 6*f + f**3. Calculate d(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2)**(-2)*(y**(-1)\/y)**(-47)*((y**(1\/8)*y*y)\/y**11)**(-23\/4) assuming y is positive.\nAnswer: y**(4513\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 336557 >= 336557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2) + (-693)\/2142.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23998 != 23999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.3, 7.2, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36\/(-8))\/(1\/(-2)). Suppose 2*d - u + 1 = 0. Suppose d*m + 2 = 26. Calculate the remainder when 11 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 1:07 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**6)**3*(c\/c**(-2\/19))\/c*c*c\/(c**2\/c*c)*c)**(3\/11) assuming c is positive.\nAnswer: c**(1431\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 111180 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/27)\/(7\/(1\/(-1)))*-14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + n**2 - n)*(2 - 2 - 2 - 4 + 1 + 4 + (-2 + 6 - 3)*(1 + 0 - 2))*(3 - 9*n**3 - 3).\nAnswer: 18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -681*t + 1194*t - 744*t + 2*t**2 - t**2.\nAnswer: t**2 - 231*t","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/63515565 and 88\/1076535?\nAnswer: 63515565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.58 in 26, 3, -39, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 1)\/(24 - 26). Suppose r = -5*f + 45, -2*r = -2*f - 0*f + 6. Solve c = -2*z + 6*z - f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -11 (c) 5\/34 (d) -4\/3 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1737883 is divided by 3690.\nAnswer: 3583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -0.045907239?\nAnswer: 0.545907239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15 + (-64778)\/1820 + 21 and 106\/1365?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + (4*sqrt(13) - sqrt(13)) - (4*sqrt(130))\/sqrt(10)) + 0).\nAnswer: -6*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, z: 2, y: 6, h: 1, b: 5}. What is prob of picking 1 h and 1 o?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.181589 - -2.0184162. Let c = 3.2 - b. Round c to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-3 - -4) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 0, -50 = 5*h - m - 0*m. Let a = -27 - -15. Let c = h - a. Solve 7*d - c*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1158531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15288 - -366977\/24. Let l = w + -17\/6. Which is the nearest to -0.05? (a) l (b) -1\/2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 351*m + 27027. Calculate d(-77).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 2658 = 1797. Let k = -422 + y. Calculate the remainder when 655 is divided by k.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 3135.\nAnswer: 15675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 4*x - 3*x + (2 + 4 - 4)*(-2*x + x + 2*x) + 1 - 6*x - 1 + 0 + 6*x + 0 + 5 + x - 5 - 7*x + 3*x - 14*x)*(x + 0*x - 3*x).\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -85, -2, 0.2, -4, 43126?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16208 rounded to three dps?\nAnswer: -0.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -474 - 4206. Let h = s + -203. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 691 - 505. Calculate the greatest common factor of h and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9977 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2806 + 10523. List the prime factors of m.\nAnswer: 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/15)\/t*t\/t**(-11) assuming t is positive.\nAnswer: t**(163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + k**2 - k - 3. Let n be 1 + -1 + 2 + 13. Suppose 2*x + 11 = 1, -z + 3*x + n = 0. Give g(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3537540 and 1008854?\nAnswer: 272390580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*f = -5, 8*f = 3*l + 3*f - 15. Let j = 51.02 + -51. Let s = j + -0.12. What is the nearest to s in l, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21979 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: Let v(j) = 11*j**2 + 6*j + 8. Let n be v(-4). Suppose 8*r - n = 6*r. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 60. Let u = -23 + k. Suppose 0 = -u*a + 5*a - 66. What is the remainder when a is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1770 and 110.\nAnswer: 19470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10992 divided by -6\nAnswer: -1832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3000 and 420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 31 = 10*v. Solve -5*f + v = -4*s, -4 = 2*s - s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 4 + 2)*(-2*l + 2*l + l) - 7*l + 303*l + 305*l)*(-2*l**2 + 4*l**2 - l**2) in the form y + o*l + d*l**2 + t*l**3 and give t.\nAnswer: 598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 2*h**2 - 2*h - 1. Let b be s(-1). Let g(l) = 36*l**3 - 3*l - 2. Let i be g(b). Let c = i - -439. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + s**2 - 2*s - 1. Let g(l) = -182*l**3 + 6*l**2 - 12*l + 415. Let j(k) = g(k) - 6*z(k). What is the derivative of j(i) wrt i?\nAnswer: -528*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 12*l**2 - 4*l + 3. Let t be -3 + (-2 - -23)\/3. Suppose t*c - 1 = 7. What is the remainder when m(c) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/(-21))\/((-1)\/(-2073)). Let n = 1205 + d. Let t = 872 - n. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microsecond in nanoseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 29.04913 centuries?\nAnswer: 2.904913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 2223?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 10) to base 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.007 + -0.007. Let z = 17 - s. Let g = 14.9 + -14.89. Which is the third smallest value? (a) -0.3 (b) g (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684153436?\nAnswer: 2, 277, 617467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) 0.23 (c) 0.5 (d) 0.06 (e) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9272002\/(-8) - (21\/12 + -2). What is a rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4 - 23) + 18)*(-2 + -15).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -48. Let r = n + -38.999999642. Round r to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26517839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14920*q + 5*q**3 - 14920*q - 3*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26743862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 122?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -517.1 - -381. Round z to the nearest integer.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 19, 21, 23, 25?\n\"Answer: 2*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b**2 + 2*b - 1432. Let p(x) = -7*x. Determine p(d(a)).\nAnswer: 49*a**2 - 14*a + 10024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -50. Suppose -12 - 5 = -f. Let p = f - s. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d = -47*d + 13*d + 277564. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 a when three letters picked without replacement from {a: 2, g: 1, k: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**5\/2 + 75*y**4\/2 - 87*y**3\/2 - 231*y**2\/2 + 42*y + 78 = 0.\nAnswer: -26, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 2. Let f be u(-2). Suppose f*n - 4*b = b + 28, -n = -2*b - 10. Suppose -3*w + 12 = -n*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 37*m**2 + 77*m - 165. Let u be b(35). Calculate the highest common factor of 48 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758*u = -728*u - 60 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -422\/19 and -22 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -44\/320129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 431 = -5*a + 10*a, -2*q - 4*a = -196. What is the remainder when q is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 948974407 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d - 13*d + 3*d - 23*d in the form r*d + x and give r.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = k - 5*k. Let m = 209 + -193. What is the third derivative of -h**k + 13*h**3 - h**3 + m*h**2 + h**2 wrt h?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/20)\/(1\/4). Suppose -6 = -2*i + 4*s, g*s - 7 = 1. Calculate the remainder when 85 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 94\/3. Let k = 0.25 + -0.4. Let g = k - -0.35. What is the third biggest value in g, v, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(605)*-2)**2*6*1.\nAnswer: 14524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13\/102 + -2\/51. Let o = -0.843 - -0.343. Sort -3, 0.2, o, w in decreasing order.\nAnswer: 0.2, w, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205 divided by 140.\nAnswer: 41\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 168642982 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 434895*v**2 + 4266*v + 3 wrt v.\nAnswer: 869790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 6*m - 8. Let j be g(-7). Let y be j + 0 + 60\/68. Let h = -2.4 - -2.5. Which is bigger: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -7) + (10\/1 - 5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 9, 5, 1, -7, 3232, -5 in decreasing order.\nAnswer: 3232, 9, 5, 1, -5, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/14*3*25193\/(-3599).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 247100 divided by 307\nAnswer: 247100\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 12:41 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -22. What is the derivative of 9 + 12 - i - 12*v wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/9886360 and 167\/6740700?\nAnswer: 148295400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -2\/3 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-75)*9*(-10)\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9907\/3420 - 3\/380. Calculate the common denominator of -15\/2 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3740 - 7431\/2. What is the nearest to -1\/5 in h, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/40)\/(354\/(-45312))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6711 = 2*k - h, 3*k + 5*h - 13437 = 7*k. Let q be (-1 - -5) + (19 - k). Suppose 3*s + 5*j - 5104 = 0, 4*s - 6*s + q = -2*j. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 157074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 3536 - 6874 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 8*t + 10 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22359 + 2302 = -31*j. Differentiate -22*k**2 - k**2 + j - 636 - 78*k**2 wrt k.\nAnswer: -202*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -7*x**5\/100 + 13*x**4\/30 - 13*x**3\/30 - 3*x**2\/5 + 3*x. Solve v(y) = 0 for y.\nAnswer: -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28906010 divided by -5\nAnswer: -5781202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 1. Let q be v(-3). Suppose -q*a - 6 = -5*a. Let i(y) = -508 + 1021 + 3*y - 508 - 2*y. Determine i(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 11:14 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(625) - (sqrt(625) - (sqrt(625) - (sqrt(625) - (sqrt(625) - (sqrt(625) + sqrt(625)*2))*-1)))))\/(-6*(sqrt(500) + -2*sqrt(500))*4).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-3)\/12*7. Let g = 9.2 - 9.1. Let f = -0.1 + g. Is h <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 2*v**3 + 15*v**2\/2 + v. Let x(a) = 4 - a - 3 - 5 + 3. Calculate -w(k) - 15*x(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-86)\/(-18) + (-4)\/(-18). Suppose x*c + 64 - 199 = 0. Let g = -18 + c. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260 and 6084.\nAnswer: 30420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6857 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: Collect the terms in -94*j**2 + 264*j**2 - 74*j**2 - 95*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -0.18?\nAnswer: -3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eae when three letters picked without replacement from eaallerrraalee?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 296*s**2 - 4*s + 22. Let a be r(3). Suppose 6*w + a = 20200. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1100*p**4*v**2 - 160*p**4*v - 46*p**2*v**2 - 2*p*v**2 + 12021*p wrt p.\nAnswer: -26400*p*v**2 - 3840*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 27321553.9 to the nearest 10000.\nAnswer: 27320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*k - 93*k - 2*g = -47465, 4*k = 3*g + 189772. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 725538 and 6666.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4 + 8*k**3 + 4*k**2 - 8*k - 6 = 0 for k.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -102*l - 696. Determine w(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/87 - 50\/667. Let d be (76\/46)\/((-42)\/(-8)). Let i = t + d. Is 0 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 242?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2404 (base 8) to base 13.\nAnswer: 77a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52382 - 627335\/12. Let m = g - 104. Is -1 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 15*x**3 - 39*x**2 - 18*x = 0.\nAnswer: -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/3))**(27\/2)*(x\/(x\/(x\/x**(-1\/11))))\/x**0)\/(((x*(x\/(x**(2\/3)\/x*x)*x)\/x)\/x)**(-44)\/(x*x**(-1\/2)*x)**(-2\/95)) assuming x is positive.\nAnswer: x**(70387\/6270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 4*h**2 + h**3)*(113 - 192 - 47)*(0 + 0 - 2*h**2) - 2*h**5 + 14*h**5 - 3*h**2 + 10*h**5.\nAnswer: 274*h**5 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, z: 2}. What is prob of sequence ztt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -17. Let r = -1989\/11 - -181. Sort q, 5, r in increasing order.\nAnswer: q, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1088*v + 18282*v = -1204*v + 741438 + 1727442 for v.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*p**5\/5 + 1174262*p**4\/5 + 2180722*p**3\/5 - 167774*p**2\/5 - 2180736*p\/5 - 1006488\/5 = 0. Calculate p.\nAnswer: -83874, -1, -6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsss. What is prob of sequence zs?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 2 = 9*t. Suppose -18827 = -x - t*w, 2*w + 591 = -2*x + 38253. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -18*f**2 + 51*f + 372. What is s(-6)?\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3 - 1. Is (15 - z) + 3 - -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-175)\/(-15)*6\/10)\/(-3)*-1?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5375?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**2 + 69*t - 62. Let x be c(19). Let n = x + 203. Suppose -3*d + 0*d = 0. Solve 4*h + 5*p - p - n = 0, -4*p = d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -179.43 - -175.43. What is the third biggest value in 13, -2\/7, 3\/2, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21831 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*10 + -26 + 26. What is the highest common divisor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-432)\/81*756\/224?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z. Let y(b) be the first derivative of -28*b**3\/3 - 95. Calculate y(a(q)).\nAnswer: -112*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2308 - -2305. Which is the second biggest value? (a) 7 (b) -10\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 7*r + 6*r)*(3*r + 0*r - r) as w + n*r + k*r**2 and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -353*y - 1647. What is u(-5)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-9)\/w*w))\/(w\/(w*(w*w\/(w\/((w**(-2\/35)\/w)\/w)))\/w))*w**8\/(w\/((w\/(w\/(w*w**(2\/7))*w))\/w)) assuming w is positive.\nAnswer: w**(498\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10008 - 2*i**2 + 2634 + 0*i**2 + 2*i.\nAnswer: -2*i**2 + 2*i + 12642","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9592 - (-12 - (-7 + 2)). Is q - (6 + -8 + -4 + 6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*m**2*o**3 + 4*m**2 + 7*o**3 + 9 wrt m?\nAnswer: -30*m*o**3 + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -7*a - 2*p, 2*a = 3*p + 22 + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**5\/4 - 11*v**4\/2 + 42*v**3 = 0.\nAnswer: -28, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -7 + 0*x**2 - 1\/3*x**3 - x. Calculate b(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 7*y**2 + 2*y + 11. Calculate z(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (456\/570)\/(4005\/(-1225) + 3) - (-14)\/6.\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 222*k**5 - 4*k**3 + 4*k**3 + 0*k**3 + (-2*k**5 + 2*k**5 + k**5)*(0 - 3 + 4) + (-6 - 5*k + 6)*(-k**4 + k**4 + 2*k**4).\nAnswer: 213*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f = 7*f + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 > 153\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 6*r**5 - 3 + (r**3 + 0*r**3 - 4*r**3)*(r**2 - r + r).\nAnswer: -9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.526, 4, 0.0914?\nAnswer: -3.526","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l**3 + 2*l**2 - 2*l + 4. Suppose 2*q = -3*a + 7*q + 16, -4 = -a + q. Let o be y(a). Is (5129\/(-92))\/(2\/o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35677, -35652, -35627, -35602, -35577, -35552?\nAnswer: -35527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -134 + -2bb03?\nAnswer: -30037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2208\/5 - -444. Find the common denominator of 34\/(-21)*-3 + -1 and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 5*p + 60, 0 = -4*i + 283*p - 278*p - 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.5 (b) -9 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = a, 4*a + 2 = 2*d - 6. Let c(i) = 3 - 3 + d*i + 0. Let l(h) = 4*h**2. Give c(l(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9986923 less than -21.57732?\nAnswer: 9986901.42268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 3*p - 3. Let a be ((-2)\/10)\/(4\/(-60)). Let j(n) = -n**2 + n - 1. Let b(h) = a*j(h) - g(h). Let r(l) = l**2. Determine r(b(w)).\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/84 and (2\/(-72)*1)\/(18\/1305).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, p: 1, e: 2}. What is prob of sequence iipi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 11, z: 6}. Give prob of picking 2 j.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 56?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -95*k**2 - 288*k + 6. Let v be b(-3). Solve -9 = -v*u + 18*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 29*h - 32. What is the hundreds digit of z(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -821 times 1?\nAnswer: -821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 2*d. Suppose 6*f - 22 = -34. Let o(x) = 4*x**2 + 9*x. What is f*o(n) + 9*m(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223155?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 5*q**3 - 4*q**2 - 525*q - 639. Find the first derivative of a(m) wrt m.\nAnswer: 30*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5515 > -5517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in 0.5, 24568\/7, 1\/11, -0.4, 0.2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 - 5*o**3 + 66*o**2 + 34*o - 66*o**2 as s*o**2 + h + n*o + l*o**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/65624773 and -77\/267?\nAnswer: 196874319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 95, 2, -5.\nAnswer: -5, -3, 2, 4, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 134, 2, 0.67, 0.3 in decreasing order.\nAnswer: 134, 2, 0.67, 4\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25838, 27152, 28470, 29792, 31118?\n\"Answer: 2*v**2 + 1308*v + 24528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -259*t**2 - 13*t + 13. Let y(w) = -65*w**2 - 3*w + 3. Give 6*a(j) - 26*y(j).\nAnswer: 136*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1738 = -3*h, 2*p + 0*p - 576 = -h. Let z = -577 + h. Solve 0 = -0*b + 4*b - 2*w - 6, -4*b + 9 = -z*w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/15210 and 31\/11830.\nAnswer: 106470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -87*n**8\/56 + 5*n**4\/6 + 35*n. What is the third derivative of j(g) wrt g?\nAnswer: -10440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q**2 + 10*q**2 + 7*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 divided by -9102.\nAnswer: 107\/9102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 201 - 347. Let w = q + 357. Suppose -148 = -4*o + y + y, -w = -5*o - 4*y. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3107, -3168, -3353, -3734, -4383, -5372?\nAnswer: -6773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 9:42 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*u, -3*u = -2*w - u + 248. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1 + 3 - v - 1 + 0. Let z be h(-4). Let b = z - -15. Calculate the highest common divisor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (7 + -10 + -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -466.3 rounded to the nearest 10?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 4*q - 22 = 0, z + 10 = -0*q - 2*q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*n = -0*n - 78, 39 = j + n. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.636766ml?\nAnswer: 0.003636766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45015229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b90 (base 13) to base 11.\nAnswer: 3154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.21 - -0.08. Let p = 9491\/7 + -1349. Let q = 7 - p. Which is the smallest value? (a) q (b) -1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.60333049 to three decimal places.\nAnswer: 0.603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -25099291.\nAnswer: 225893619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88\/234351 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 68 times 2.1\nAnswer: 142.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(343 + 416 - 194)*(-2 - 1 + 2)*(i - i - i).\nAnswer: -565*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 421584 and 1.\nAnswer: 421584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001584 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 8 + 32. Suppose 2*d = -0*d - u. What is the remainder when 2\/3 + (-134)\/d is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1393 - 1391 - 1378 - 3*z**4 + 46*z + 4165 - z**3 as s*z + f*z**4 + k*z**3 + t*z**2 + x and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d38 (base 14) to base 6.\nAnswer: -40422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11741*q - 74879*q - 10169*q - 3*q**2 - 4.\nAnswer: -3*q**2 - 73307*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(1\/3))\/o)\/(o\/(o**6\/o)))**(1\/15) assuming o is positive.\nAnswer: o**(11\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 940000 = -2*z. Suppose 2*a = a - z. What is a rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 5:20 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-seven fifths of a centimeter?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4\/18245 (b) 5\/4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 0, -8 = -4*f - 0*a + 3*a. Let m(l) = 0 + f + l - 2. Let d(c) = -2*c. Determine m(d(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*b = 46, 2*b = -y - 4*y + 123. Let c be (y\/(-3))\/(834\/(-44)). Let d = c + 2\/417. Is 0 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 650 divide 3138554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**47*l**(-5))\/(l**4)**(-4\/33) assuming l is positive.\nAnswer: l**(1402\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)\/sqrt(10)*4 - (-3 + -1 + sqrt(2) + 3)**2)*-6 + -1.\nAnswer: -108*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from ybpuppepu?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3956 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: Four letters picked without replacement from wwkvwjwvkovrrkj. What is prob of picking 2 r and 2 v?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1008) + sqrt(1008))*4 + -4*sqrt(1008)*2 + -1 + 1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -565515\/82 bigger than -6898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67 or -65?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -3*q - 15. Let n = q - -318. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {w: 1, t: 19}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-7)\/o*o*o*o**(-3\/4)\/o*o*(o**(-6)\/o)\/(((o**1\/o)\/o*o)\/o))\/(((o**(-2\/9)\/o)\/o*o*o\/o**0)\/(o**0)**30) assuming o is positive.\nAnswer: o**(-415\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.146 - -1.654. What is the nearest to u in 4, -1\/2, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-66)\/3 + 1 + 0. Suppose -m + 2142 = 2*m. Is ((-14)\/x)\/(4\/m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4734833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164387549*i**3*w**3 - 2*i**3 + 2*i**2 + 29*i + 12715 wrt w.\nAnswer: -493162647*i**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghg when three letters picked without replacement from {e: 9, g: 3, v: 2, h: 1, n: 2, x: 3}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*s**2 + 2*s - 3*s + s.\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/5 - (-3 - 0). Let f = 2\/9 + 5\/18. Suppose 2*j - 4*z + 20 = 0, 17 = -2*j + 2*z + 5. What is the third biggest value in j, w, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 14*s + 24.\nAnswer: 2*(s - 4)*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) - 8746\/6. Let y = 5863\/4 + r. What is the common denominator of -107\/22 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3912*y + 1890 + 3910*y + 3984.\nAnswer: -2*y + 5874","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**1)**(40\/3)\/(v**(-1\/3))**(5\/7))\/((v\/((v*v*v*v*v*v**(3\/4)*v*v*v*v)\/v)*v*v)\/((v**1*v)\/v*v))**(-13) assuming v is positive.\nAnswer: v**(-8443\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 520*q - 11455. Give p(21).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00175448453 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 608 and 76.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = p - 3, 4*p = y - 132 + 127 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -186\/67 + 5151\/335. Is l at most as big as 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12997*o**4 - 11*o**3 + 289*o**2 + 163 wrt o?\nAnswer: -311928*o - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/2 - 2120*t**3 - 16947*t**2\/2 - 6354*t = 0. What is t?\nAnswer: -4236, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 20. Suppose -3*z - 20 + 8 = 0. Let k be g(z). Which is the smallest value? (a) -2\/5 (b) -5 (c) -4\/3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 16*u**2 - 16*u - 16. Let w be 4\/14 + (-1819)\/119. Let d be b(w). Which is greater: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 11*p**3 + 6. Let m(q) = q**3 - 1. What is 6*m(g) + o(g)?\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = -15. Let m(l) = l**2 - 4*l - 1. Let h(p) = -p - 1. Let w(a) = i*h(a) + m(a). Factor w(k).\nAnswer: (k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 99.46, -2, 11?\nAnswer: 99.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 25*s + 15*s. Solve 2*t = 2, -d - 5*t = -2*t + s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 9162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/54 and -1\/198?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + j - 15 = 0, -4*j + j + 15 = 0. Suppose 0 = 5*d + c - 74, -54 = -3*d - c - h*c. Let a = 89 + -50. What is the remainder when a is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**6\/120 + i**5\/20 - i**4\/12 - i**3 - 7*i**2 - 5. Let g be o(-2). Is 10 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggvqgggvqqvg. What is prob of sequence qqgv?\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2701512, -5403160, -8104942, -10806858, -13508908?\n\"Answer: -67*d**2 - 2701447*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n\/(n**(-6)*n*n*n))*n\/(n*n**(3\/4)) assuming n is positive.\nAnswer: n**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 367\/35 - 72\/7. Let b = 0.02 - 0.42. Sort 1\/4, l, b.\nAnswer: b, l, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 2*t - 2. Suppose 12 = -4*n + 4*m, -m = -4*n - 3*m - 12. Let d = -1 - n. Is 6 a factor of s(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 258\nAnswer: -2322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23174, -23163, -23146, -23123, -23094?\n\"Answer: 3*f**2 + 2*f - 23179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/4 - r**4\/4 - 5*r**3\/4 - 3*r**2\/4.\nAnswer: r**2*(r - 3)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 15*t - 37. Let l be g(-17). Let n be 2\/(l - 3) + 1\/3. Solve 3*d + 4*k + 3 = n, d - 5*k + 9 - 27 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-3 - (-2 + 0)). Suppose 4*x = -f + 176, 2*x - x + 2*f - 37 = 0. Suppose -w*r - 3*r = -x. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**3 + g**2 - 6276*g + 156373 wrt g.\nAnswer: -9*g**2 + 2*g - 6276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/2280 and -8\/4767.\nAnswer: 3622920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1714 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2334505 + 0?\nAnswer: -2334505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-10) + (-273)\/15. Let v(s) = 2*s**2 - 3*s. Let m be v(4). Let n be (6\/m)\/(w\/48). Is 0 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376510 - -231.3298107?\nAnswer: 376741.3298107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**4*v - 15*c**4 - 98*c**2*v - c*v + 2*c + 206*v + 2 wrt c.\nAnswer: 36*c**2*v - 180*c**2 - 196*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6539687\/4 + 1634924. Solve a*m**2 + 5\/2*m + 1\/4 = 0.\nAnswer: -1, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135920 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -369174 + 2584213\/7. Let d be ((-14)\/(-8))\/((-1)\/(-12)). Which is smaller: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/54832 and 5\/795064.\nAnswer: 1590128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 13 = -5*d. Suppose 3*u - 2*w = 233 - 62, 2*u - w - 115 = 0. Let v = -51 + u. Calculate the lowest common multiple of d and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2 + 102*y = 0 for y.\nAnswer: 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -4002130444?\nAnswer: -4002131000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(90) + sqrt(7)*-1 + 4)**2.\nAnswer: -16*sqrt(7)\/3 + 172\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(21\/(-24)) + -3. Find the first derivative of -10 + 21 + t*z**2 - 9 wrt z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 247, 561, 1003, 1573?\nAnswer: 2271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(-7 + 7 - 4)*(-5*t**2 + 9*t**2 + 5*t**2)*(-5*t + 2*t + 5*t).\nAnswer: -72*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 5*g - g)*(-4*g**3 - 2*g**3 - 5*g**3) + 8*g**2 + 3 + g - 22 + 17 + 2*g**4 as f*g + h*g**4 + o*g**2 + v*g**3 + m and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*c + 970. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s. Let i(z) = -5*z**2 + 3*z. Let g(x) = 14*x**2 - 10*x. Suppose -5*d - m = -52, -5*m + 60 = 4*d + d. Let w(k) = d*i(k) + 3*g(k). Determine c(w(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -309 - -2?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-726) - ((-2858)\/44 - (52 + -54)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -31*z - 2*z**2 + 22*z - 8*z + z**2 + 54 + 2*z**2. Calculate w(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5292*k + 4534*k - 31078 for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**6\/15 - a**5\/30 - a**4\/24 - 5*a**2. Suppose -n = 2*n + 3. Let b be m(n). Solve -5*o - b + 17 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118173*w + 238210*w - 103390*w.\nAnswer: 16647*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 43?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28521920177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 884635 not equal to 884638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 9*v**2 + 8*v + 24. Give h(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-8 + 2 + -3 + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 90 and -0.5.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.6 in 1.583, -1\/8, 0.03, -1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from acgro?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84332722.\nAnswer: 2, 42166361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11892438 divided by 9\nAnswer: 1321382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 12 - 3 - (1 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 8*a**2 - 8*a + 10. Let l be u(7). Solve -l*c = -4*c + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 396953 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 10*w**2 + 96*w - 626. Is 11 a factor of u(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*h + 944*h + 2469*h + 252990 = -6181*h for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1235*z**2 + 2453*z**2 - 1212*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 0*k + 2\/9*k**3 + 88 + 6*k**2. Factor n(t).\nAnswer: 2*t*(t + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -303 - -306. Solve h*y + 5*q + 12 = -y, -q = y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1496 and 7106.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4273 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3 - (-5)\/15. Let n(m) = -46*m + 46*m - q + 5*m**2. Let p be n(-1). Solve -5*j - p = 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 8 + -10 + 2 - 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*2\/(-6)*-5. Let f = i - -39\/8. What is the second biggest value in f, -3\/4, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 368 + -244. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(16\/3)*f*f**(-14))**(1\/41) assuming f is positive.\nAnswer: f**(-23\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**7\/3780 + 37*s**6\/1620 + 19*s**5\/270 + 9*s**3\/2 + 21*s - 2. Let t(x) be the second derivative of l(x). Factor t(b).\nAnswer: -2*b*(b - 38)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 5691 = 4*p - 645, -4*y = -p - 2133. Suppose 4*u - 36 = 2*u. Calculate the highest common factor of y and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1628*k - 1707. Does 59 divide t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-51.08\nAnswer: 10.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77*w**5 + 28967*w**4 - w**3 + 10487721*w**2 wrt w?\nAnswer: -4620*w**2 + 695208*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000063767277 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.18 and -1.5325612?\nAnswer: -0.275861016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/5607974?\nAnswer: 3\/5607974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -290 - 10?\nAnswer: -2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a = -20*a - 288. Calculate the remainder when a is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 20*h**3 - 51\/2*h**2 + 141 - 9*h. Let d(r) = 0. Calculate r.\nAnswer: -3\/20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31598, 63175, 94748, 126317?\n\"Answer: -2*r**2 + 31583*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1182*o**2 - 54*o - 88*o + 142*o)*(5*o**3 - 4*o**3 - 2*o**3).\nAnswer: -1182*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2 + 6*n - 10. Suppose -s = -3*s + 3*x + 5, 2*x + 14 = 4*s. Let d(a) = -2*a**2 + 5*a - 9. Let f(t) = s*d(t) - 3*q(t). What is f(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/12 - (-4)\/(-8). Let u be (-8188)\/(-5) - (-10)\/25. Suppose -p = -4*b + u, -b + m*p + 413 = -2*p. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65.31 - 69.31. What is the second biggest value in g, -1\/2, 4, 3, -38?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v**2 - 3*v**2 - 7*v**2)*(-2*v**2 + 3*v**2 - 7*v**2) to n*v**4 + z*v**3 + h + r*v**2 + f*v and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4f - b?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Suppose 3*d + 0*d = 0. Let v = 6 - d. Let b(o) = 6 - v + 2*o. What is k(b(y))?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s + 0 + 1\/6*s**3 + 0*s**2. Let r(g) = -12 - 8 + g**2 + 20. What is r(f(b))?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 165553 (base 7) in base 4?\nAnswer: 20012323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 4402629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(1 - 18\/10). Put 2, m, -6 in increasing order.\nAnswer: -6, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + s + 15 - 4*s - 2. Let o be d(-18). Let u = o - -166. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46635, 75322, 104009, 132696, 161383, 190070?\nAnswer: 218757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**5\/20 - r**2. Let l(t) = -9*t**2 - 7*t. Let w(g) = 4*g**2 + 3*g. Let c(a) = -3*l(a) - 7*w(a). What is q(c(y))?\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -67.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*k - 7558 + 7558)*(1 - 9*k**3 - 2*k + 2*k**4 + 9*k**3).\nAnswer: -36*k**5 + 36*k**2 - 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8203719639 to the nearest integer?\nAnswer: 90574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 9. Let t = -52 + 56. Solve t - 6 = -q*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**3 - 3*a**2 - 4*a + 3. Let l be y(3). Suppose 5*m = -5*u + 310, 0 = 3*m - 5*u - l - 106. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 32\/5 of a kilometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*o + 86 - 32 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.9 + 11. Let f = -1.1 - s. Put 1, 3, f in ascending order.\nAnswer: f, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(16\/(-3))*(-80)\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 14 - 9)*(27 - 15 - 2*c - 7 - 3*c**2).\nAnswer: -60*c**2 - 40*c + 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tat when three letters picked without replacement from {a: 2, x: 2, t: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0 - 7\/120*w**6 - 14*w**2 + 0*w - 25\/8*w**4 + 11\/15*w**5 + 3*w**3. Factor o(q).\nAnswer: -(q - 3)**2*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13138 or -9404?\nAnswer: -9404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8187 = -8163. Solve -18 = h - 3*x, -l*x + 17 = -4*h - 5*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 785*y**2 + 0 + 786*y**2 - 1587*y**2 + 0.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7565110?\nAnswer: 2, 5, 7, 15439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*u + 632, u + u = -5*v + 807. What are the prime factors of v?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 188 - 86. What are the prime factors of m?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011110 - 10100?\nAnswer: -10110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15.6 and -0.01?\nAnswer: 15.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/2)\/(y\/y**7))\/(y**(-1\/3))**(-1\/12))**41 assuming y is positive.\nAnswer: y**(11029\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 336\/739 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 19668278267.\nAnswer: 19668278261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3933.\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20670\/21 - (-8)\/(-140)*5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3741919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7662372 is divided by 1595?\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**4 + 7*x**3 - 7*x**3)*(-11 - 6 - 12) in the form t + a*x + q*x**2 + s*x**4 + o*x**3 and give s.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/19)\/(w*w**(1\/2))*(w*w**(4\/7)*w*w)\/w*w*w*w**(1\/9)*w assuming w is positive.\nAnswer: w**(10139\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 1. Suppose 2*d - 7 = 3*k + 1, k - 16 = -2*d. Determine f(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + l)*(2*l - 2*l - l)*(-36*l + 4*l - 9*l) + (l + 0*l + 3*l)*((-4*l + 3*l + 0*l)*(-3*l + 3*l + 2*l) + l**2 - 3*l**2 + l**2).\nAnswer: 29*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -61797, -61694, -61591, -61488, -61385, -61282?\n\"Answer: 103*p - 61900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173 is divided by 1166?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 96909 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3895723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z. Let s be (1\/(z - 1))\/8. Let i(h) = 13*h + 311. Let c be i(-24). Put s, c, -1\/3 in descending order.\nAnswer: s, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 - 103 = 50*s + 136 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1608\/(-20)*((6 - 8) + -3)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -289145.193 - 693447\nAnswer: -982592.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -980 = -6*c - 320. Let o be (-110)\/605 + (-2)\/c. What is the smallest value in o, 0.1, 15?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 11:28 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 10 - 7 = 0. Let v(t) = -t**3 - 22*t**2 - 94*t - 27. Let x be v(-5). Is o smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.215112369 rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3225.131 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -7\/12 (b) -62 (c) 1 (d) -3.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 14*j + 167. Suppose -286 = 48*o - 26*o. Let k be p(o). Is -14 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-12)*r*r)\/(r**(-5\/13)\/r)*((r**(2\/3)*r*r*r*r*r*r)\/r)**(-8\/3) assuming r is positive.\nAnswer: r**(-2776\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1 (c) 1 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 278929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2218975617.\nAnswer: 3, 8867, 83417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v. Let p(n) = -4*n - 31. Let k be p(-8). Let a(h) = -k + 728*h + 1 - 723*h. Determine c(a(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610 a factor of 123705623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2)*20\/5. Suppose -4*z - o*y + 14 = z, -y - 1 = -z. Find b such that b**2 - 5 + 1 + b**z - b**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22160)\/(-277)*-1*(-6)\/(-15).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57 - -10) + 163 + -148.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -19*p**2. Let w(j) = j**3 + 9*j**2 + 6*j - 5. Let f be w(-8). Let h(v) = 6*v**2 + f*v**2 - 14*v**2. What is h(y(q))?\nAnswer: 1083*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4) - (-44)\/8. Find the second derivative of 2*g**2 + 0*g**2 + 2*g - d*g**2 wrt g.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 + 71 = 2*p. What are the prime factors of p?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3057.137 rounded to the nearest 10?\nAnswer: -3060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**8\/6720 + k**7\/840 + k**6\/480 - k**5\/120 - k**4\/24 + k**3\/3 + 12. Let m(x) be the third derivative of w(x). Factor m(o).\nAnswer: (o - 1)*(o + 1)*(o + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d + 2*p + 240, -4*p - 248 = -2*d. Let x = -114 + d. Let o be 0 - 1*(-2)\/(-3). What is the closest to o in 0.1, 0.5, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (3 + -6 - (-1 - 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26084 is divided by 3504.\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33783 is divided by 2002.\nAnswer: 1751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -54cd93 - 5?\nAnswer: -54cd98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -1.9. Let q be 1 - ((-45)\/(-10) + -4). What is the closest to q in 1, m, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minus 0.029?\nAnswer: 10.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -322, 3, 121 in ascending order.\nAnswer: -322, 3, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*a - 1225, -2*m + a + 3690 = m. Let k = m - 696. What are the prime factors of k?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1436 and 2?\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 5) + (0 - -865 - 1). Suppose 0 = 2*y - 6*y - z. Let b = 333 + y. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 3*c + 3*o - 3, -3*o = -3*c + 6. Let q be (-4)\/(-8) - (2 + 313\/(-2)). Let n(h) = -161*h - 3 + 6 + h**2 + q*h. What is n(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, r: 11}. What is prob of picking 3 r and 1 n?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139.56 - -553.44. Which is the closest to n? (a) 0.4 (b) 0 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -16*h**2 + 45*h - 3. What is s(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((1\/2)\/((-149)\/(-596)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57175*c**2*s**2 + c**2*s - 32*c**2 - s**3 + 23*s**2 - 20*s - 185 wrt s.\nAnswer: 114350*c**2 - 6*s + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 5*l**4\/3 + l**3\/2 - 6*l**2 + 20*l. Is s(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25558892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*t - t = -105, -4*t = -2*j + 16. Solve -3*z = j - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21 - 3*s**4 + 9*s**4 + 2 + 4*s**4 with respect to s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from fhfffffgffffgf.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 10*n**2 - 9*n + 8. Let i be f(-9). Find the second derivative of 10*o - 3*o**2 + 3*o**2 + 10*o**4 + i*o**4 wrt o.\nAnswer: 216*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 178 + -178.3. Which is the second biggest value? (a) -0.2 (b) y (c) 0 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - 30. What is the highest common divisor of u and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6 = 3*d, -2*x - d = -3 - 4. Suppose -p + x*p = -4, -2*p - 2 = -l. Solve 4*s + 0*s - 12 = l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 142*g**2 + 438*g + 3086. Determine a(-139).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(-12) + 65\/15 + -4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t - 1. Let u = 21835 + -21840. Let k(v) = 3*v + 1. What is u*k(z) - 6*l(z)?\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 756 and 378.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sks when three letters picked without replacement from tqzqqtqqsxtkkzzstqkz.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31599\/99 - 4\/22 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((3*sqrt(108))**2 + 3*(sqrt(12)\/sqrt(4) - sqrt(3)) - (sqrt(3) + sqrt(3) + sqrt(27)\/(sqrt(324) + sqrt(9)))*-5).\nAnswer: -972 - 75*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g = 19*g + o + 8, 0 = -g + 5*o + 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63105 and 735.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3acc (base 16) to base 3.\nAnswer: 202122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from {i: 1, h: 1, j: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*c + 138 = 0, -2*p + 0*p = -3*c + 72. Is ((-364)\/30 + 6\/p)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 425 + 28.\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = 10. Let b(v) = -v + 13 - 13*v**2 - 26*v**2 + 44*v**2. Let q(m) = 3*m**2 - m + 7. Let t(o) = -4*b(o) + 7*q(o). Determine t(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 + 23)*(-2*m**2 + m**2 - m**2) + 2*m**2 + 5*m**2 - 2*m**2 to z*m**2 + k + w*m and give z.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*469\/21 - 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -513 - -50346?\nAnswer: 47633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*l - 58*l = -5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000495645456 to six dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 3*t**2 + t**2)*(-2*t + 0 + 0) + 16*t**2 - 16*t**2 - 7*t**3 - t + t - 3*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 9*q - 6. Let a be (-1)\/(-5 + (-34)\/(-7)). Give m(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4451 is divided by 247?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, k: 3, v: 2, z: 2, g: 1, u: 3}. Give prob of sequence uvku.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 9, 48, -0.3, 5, 4981?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16 + 10 - 30)*4\/(-6). Let b be -60*(0 - (-12)\/(-10)). Calculate the greatest common divisor of b and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 8*d - 18. Let q be a(-10). Suppose 3*g - 3 - 14 = 2*z, q*g - z = 10. Solve 1\/2*u**4 + 0*u + 0*u**2 + 1\/2*u**g + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {l: 1, b: 7, p: 1, g: 3}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -14*p - 31. Let l(i) = 5*i + 10. Calculate -8*l(t) - 3*w(t).\nAnswer: 2*t + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -3002?\nAnswer: 3003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/64*4)\/(1\/(-4)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.2 + -14. Let y be 3*-1 - (4 - 4). Sort -2\/11, y, f in descending order.\nAnswer: f, -2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (37 + 5 + -19) - 12) + -7\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 l when four letters picked without replacement from hhlhhlhhhhllhhhl?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-67)\/4 + 1)*-4. Suppose 1750*z + 247 = 1763*z. Factor 6*o**2 - 3*o**2 - z + f - 29 - 18*o.\nAnswer: 3*(o - 5)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/8*216\/(-162). Put m, 0, 11, -2 in decreasing order.\nAnswer: 11, m, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3682 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -5*m**5\/3 - m**4\/12 - 53*m**3\/6 + 26*m**2 + 1. Find the second derivative of z(w) wrt w.\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-218*1)\/(-2)*1 is divided by 90 + -7*(-2070)\/(-315)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 0 + 3*z + 1\/6*z**4 + 0*z**2 + 1\/2*z**3. Find the second derivative of k(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000101111111111 + 100?\nAnswer: 1001000110000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 186 + 2*d**4 - 184 - d - 2*d**2 - 5*d**4 to the form u*d**3 + y*d + l*d**4 + k + v*d**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 27224.24368 to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**3 + 3*d + 3. Let f(z) = 2*z**3 + 8*z**2 + 9*z + 1. Let x(t) = -3*t**3 - 6*t**2 - 8*t - 2. Let a(n) = 3*f(n) + 4*x(n). What is 3*a(s) + 5*b(s)?\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 12:03 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + ((sqrt(152)*-2)\/sqrt(4))\/sqrt(2) + ((1*sqrt(5700))\/sqrt(3))**2.\nAnswer: -2*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-22 + 35 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-8 - 2) - -37.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 7) in base 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1045152 + 4422?\nAnswer: -1040330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -6.6. Which is the biggest value? (a) h (b) 5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12294195?\nAnswer: 3, 5, 439, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -252 (c) -0.1 (d) 2814 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - j + 1. Suppose -n + 5*c = 7*c - 5, 5*n + c - 16 = 0. Let u(q) = -q**3 - 4*q**2 + 4*q - 4. Give n*u(k) + 12*g(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, -0.04, -1\/4 in descending order.\nAnswer: 118, -0.04, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*t**4 + 156*t**3 - 491*t**3 + 64*t**5 + 3*t + 174*t**3 + 1906 + 162*t**3 wrt t.\nAnswer: 1280*t**3 + 60*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c - 44. Let q be m(11). Suppose 6*a + q = 987. Calculate the remainder when a is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -425, 5, 26, -2 in descending order.\nAnswer: 26, 5, 3, -2, -425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2 + 1236*o + 190962 = 0. What is o?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 290.7 + 7.3. Let u = -343 + y. Which is the second smallest value? (a) -3 (b) u (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1151940 divided by -1460.\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 4*l**2 + 4. Determine i(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(19)*-4 + -5 - (4 + 1*sqrt(95)\/sqrt(5))**2.\nAnswer: -40 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k - 27 + k + 24)*(k - k + k + (0*k + 4*k - 3*k)*(2 - 2 - 2) + 2 - 2 + 3*k - 10*k - 2*k + 11*k) as v*k + z + a*k**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7\/3, 32606 in increasing order.\nAnswer: -5, -7\/3, 32606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4815 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1250, -1000, -650, -254, 134?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*w**5 + 134*w**4 - 5920*w**3 + 75*w**2 + 416517?\nAnswer: 840*w**2 + 3216*w - 35520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 8\/739, -2 in descending order.\nAnswer: 29, 8\/739, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 369405982 to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 7*w + 4. Suppose 0 = 3*m - 5*p - 104, 0*p + 2 = p. Suppose -20*b + m = -62. Give n(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-4)*2 + 1. Let j = x + 0. Suppose -3*f + 32 = -5*t, 2*f - 28 = -0*t + 5*t. Is j != t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -1. Let b(c) = 64292*c**2 - 4*c - 6. Let v be b(i). Suppose -2785518 - v = -g. What is g rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 10 = 0, 4*t = g + 20 + 35. Let z be 10\/45 - g\/27. Suppose 4*y + 86 = 2*l, z*l + 0*y = -4*y + 109. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18.34 (b) -1\/4 (c) 475 (d) 3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuxuxuuuuuuxuuuxuuuu. What is prob of picking 2 u and 1 x?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.500217379 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2084*x - 1799*x = 1347*x - 730*x + 202500 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313.21*0.05.\nAnswer: 15.6605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 6, 0.05, -3 in descending order.\nAnswer: 6, 2\/3, 0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 7*g**2 - 7*g - 3. Let l be y(7). Let m be l\/10*(0 - 5). Round m to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*(-76)\/48 + 1\/6. Find the second derivative of -p**4 - 28*p + 77*p - o*p - 20*p wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -20. Let q(l) = -98*l - 20. Let t(h) = 33*h + 7. Let u(f) = 4*q(f) + 11*t(f). Let i be u(y). Round i to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/6876 and -76\/267.\nAnswer: 611964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 2*l)*(7*l + 0*l - 3*l) + l**2 + 4*l**2 - 3*l**2 + (-2*l + 2*l + 2*l)*(-3*l + l + 4*l) + 3*l**2 - 5*l**2 + 0*l**2.\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 92 = 22. Let k = -54 - f. Solve 2*o + k*l = -10, -o + l - 2 = 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -43*j. Let u(y) = 15*y. What is i(u(b))?\nAnswer: -645*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.31 + 0.31. Let x = f + 21. Let j be 18\/(-5) + 2\/(-5). Which is the third biggest value? (a) -2\/3 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29020892 by -373.\nAnswer: -77804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0, -1.319, -1, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6342 + 62*m**2 - 5*m**2 - 7*m**2 - 52*m**2 as f*m + w*m**2 + d and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27975 is divided by 9124?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -964382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j + 17. Let q(u) = -3*u - 17. Determine 4*p(x) + 6*q(x).\nAnswer: 2*x - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-14))\/(220\/(-924))*(-10)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v - 3*z + 5, 1 = -z. Let d(w) be the third derivative of 2*w**v + 7\/6*w**3 + 0 + 5\/24*w**4 + 1\/120*w**6 + 0*w - 1\/10*w**5. Calculate d(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**7\/2520 - h**6\/240 + h**5\/30 + h**4\/4 - h**3\/2 - 60*h. Let j(b) be the third derivative of a(b). Give j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*f - 24, 3*k = -3*f + f - 18. Let q = k - -1. Let b be 5\/(50\/8)*q. Sort b, 0.2, -0.2 in increasing order.\nAnswer: b, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247708 is divided by 2612?\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22857 is divided by 15691?\nAnswer: 7166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -640244164, -640244162, -640244160, -640244158, -640244156, -640244154?\n\"Answer: 2*i - 640244166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -308*p**4 + 12*p**2 + 306*p**4 + 4 - p - 16*p**2 + p**3 to s*p**2 + d*p + u + a*p**4 + k*p**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-12) + -6*(-2)\/8. Let l(f) be the second derivative of 0 - m*f**4 - 4*f + 0*f**3 + 0*f**2 + 1\/5*f**5. What is the third derivative of l(t) wrt t?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**5 - 50*v**4 - 185*v**3 - 130*v**2 = 0. Calculate v.\nAnswer: -2, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 23, -1, 3\/5, -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125166\/7 + -17884. Suppose -1 = -f + 4. Let i be (f - 3)*6\/(-4). Which is smaller: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*j - 10. Suppose 2*g - 71 = 3*h - 178, j*g + 27 = h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a0b - -6958?\nAnswer: 7767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -17*v - 1. Let f(h) = -25*h**2 - 2. What is f(s(w))?\nAnswer: -7225*w**2 - 850*w - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 579370133?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a second in milliseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, y: 3}. Give prob of picking 3 q.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 - 16*r + 45. Let w be o(-10). Solve 18 = y + w*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*g - 0. Solve -4*w - 17 = 5*x + g, -2*w - 3*x - 14 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, 60, 195, 456, 885, 1524, 2415, 3600?\n\"Answer: 7*w**3 + 2*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7761 - -12453. Is 68 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**43\/(o**(-3\/5)\/((o\/(o*o*o*o*o*o*o**(2\/9)))\/o))*(o\/(o*o*o**2*o))\/(o**(1\/10)*o)*(o**(-1))**29 assuming o is positive.\nAnswer: o**(-1489\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a**3 + 2*a**3 + a**3 + 0*a**3 + 0*a**3 + 10*a**3 + (2*a**2 + a**2 - 4*a**2)*(2*a + 5*a - 2*a) to the form n*a**2 + g*a + x + t*a**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7078 + 7277. What is the remainder when u is divided by 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-7442 - 3619*t + 14891 - 7449).\nAnswer: -3619*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/7, 0.344, 730\/13?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3 - 3) + (17 - 46 - -20)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9499, 19494, 29489, 39484?\n\"Answer: 9995*g - 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-12))\/(-1 - 2). Suppose -4*l - 4*m - m = -39, x = 3*m + 15. Suppose 6*q - l*q**3 - 5*q**3 + 12*q**3 - 18*q**3 - 21*q**2 = 0. What is q?\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**3 + 3*v**2 - 2*v - 2. Let i(z) = 4*z**3 - 4*z**2 + 3*z + 3. Calculate 2*i(x) + 3*y(x).\nAnswer: -4*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1364 times 4?\nAnswer: -4.5456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -567.663 - -73.053. Let a = y - -11.61. Let m = a - -483.00561. What is m rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*o + 16 = 2*o, -j + o = -7. Suppose 0 = 5*h - 3*x - 565, 103 = h - j*x + 12. What are the prime factors of h?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41d - 13?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001483744 to seven dps.\nAnswer: -0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 3713 + 4058 = 0 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**3\/3 - 1. Suppose 3*r - 35 = -2*r. Let f(z) = -114 - r*z**2 + 114. Give t(f(y)).\nAnswer: -49*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-261)\/27)\/((-1)\/3). Suppose -12*s + r = -19. Let y = 6 + -3. Solve 0 = y*p + p - s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w + 4. Let m(g) be the first derivative of g**2\/2 - g - 313. Suppose 4*o = -o - 35. Let q = o + 18. What is q*m(r) + 2*s(r)?\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**6\/6 - 3*w**5\/4 - 5*w**4\/12 + 5*w**3\/2 - 5*w - 2. Factor p(f).\nAnswer: 5*f*(f - 3)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39097.144453 - 39099.84. Let r = 0.704783 - y. Let a = r - 3.4. Round a to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(12))*3 - ((sqrt(108)*-2 - sqrt(108))\/sqrt(9) + sqrt(12) - sqrt(12)))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, 125, -7\/15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004059 to six dps.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 9 + 8*u**2 + 18.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1391953 (base 11) to base 5.\nAnswer: -1102421321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 59, -2, -247 in ascending order.\nAnswer: -247, -2, -1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 3*v. Let r be c(4). Let i = 121 - 81. Suppose 24 - i = -r*w. Calculate the highest common factor of 36 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 2*f**2 + 4*f + 2. What is the smallest common multiple of 26 and w(-4)?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**4 + 376*c**2 - 805.\nAnswer: 8*c**3 + 752*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*w + 376, 2*m - 162 = -3*w + 31. Let d = m - 62. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536393.6052 rounded to the nearest 100?\nAnswer: 536400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -246 - -281. Let u be (-7)\/(i\/15) - 150\/(-48). What is the second smallest value in 2\/9, u, -5\/6, -6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2640 + -62?\nAnswer: 2567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 6*s - 27. Let k be 1 - -3 - (-7 + s). What is the third derivative of -11*l**6 - 5*l**2 + 3*l**k + 9*l**6 + 7*l**6 wrt l?\nAnswer: 600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3\/5, 3\/2, -288415.6, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1872)*-1)**2 + sqrt(143)\/((sqrt(132) + 2*sqrt(132))\/sqrt(12)).\nAnswer: sqrt(13)\/3 + 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7548346019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4799300 to the nearest one hundred thousand.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a - 25. Let j = 7638 + -7646. Give y(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 - -1?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -15\/4 (b) 29 (c) 1\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-5)*5\/2. Let o(g) = g**2 - 3*g. Suppose -4*l + 7 = -5. Let t be o(l). Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-7))\/(4\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 3:09 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -448879 or -448878?\nAnswer: -448878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208176191 a multiple of 1903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {a: 2, m: 5, b: 2, l: 1, i: 5, s: 5}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 162895630*r**5 + 4*r - 9010694?\nAnswer: 3257912600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2458*h**6 - 2456*h**2?\nAnswer: 294960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/252840 and -197\/189630?\nAnswer: 758520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -58 - (69 + -115)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**3 - 2*s**2 + 5*s - 6. Let v(u) = 7*u**3 - 2*u**2 + 4*u - 5. Determine -5*f(g) + 6*v(g).\nAnswer: 2*g**3 - 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 4*c + 4. Let j(d) = -6*d**2 + 4*d - d**2 - 5 + 5*d**2 + 3*d**2. Let o(p) = 4*j(p) + 5*l(p). What is the second derivative of o(a) wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**4\/12 + h**2. Let u(t) be the third derivative of t**2 + 0*t + 1\/12*t**4 + 0 + 0*t**3. Determine u(r(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = 3*u + 3*k, 0 = -0*k + 4*k - 12. Is u a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -25*d + 34. Let r(m) = 12 + 15 - 12*m - 2 - 8. Let i(c) = -7*r(c) + 3*v(c). Differentiate i(n) wrt n.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upuipiiu. Give prob of sequence uipu.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7268227l to millilitres.\nAnswer: 726.8227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -4*u**3\/3 - 47*u**2\/2 + 8*u - 60. Let a be c(-12). What is the closest to 4 in 1\/6, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.9402 and 11.\nAnswer: 3.0598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7 - 6 - 26*u - 23. Let y be g(-7). What is the greatest common divisor of 20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 6:34 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**4 + y**3 + 2*y + 4. Let g(h) = -21*h**3 - 16*h**2 + h - 11. Determine 2*g(a) + 11*x(a).\nAnswer: 2*a**3 + a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1317274755 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d - 355 - 351 - 4*d + 706. Let v(q) be the third derivative of 7*q**5\/60 + 3*q**2. Give v(t(x)).\nAnswer: 1008*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -89974462 bigger than -89974462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/11, -5, -15, 1.87, -211, -0.5?\nAnswer: 1.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -3*w**2\/2 - 11. Let c(s) = 5*s**2. Let u(l) = 11*l**2. Let v(y) = 9*c(y) - 4*u(y). Determine i(v(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*r = -16, -3*i + 7 - 17 = 2*r. Let j be 0 + 3 + 1 + i. Suppose 2*p - 2 = j. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a1b - -160?\nAnswer: b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 15305.89 millilitres?\nAnswer: 15.30589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from mmwmwwmwmwmmww.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 + 2\/((-66)\/(-2403471)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/440 and -68\/549175?\nAnswer: 4393400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + 10. Suppose -25 = -3*f + 4*d, 5*d + j + 9 = 3*f. Calculate the remainder when 34 is divided by (f + -30)*(-4)\/6.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145081, -290206, -435331, -580456, -725581, -870706?\nAnswer: -1015831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -8*(14 + 594\/(-42)) + 204280\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1286 + 2678. Suppose 14*f + d = 20*f. Does 58 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52249288?\nAnswer: 2, 7, 13, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-3))\/q)\/q**(-2\/3)*q**(-2)\/q*q\/q**(1\/8)*q*q*q*q*q*(q**(2\/11)*q*q**(-2\/5)\/q)\/(q**(4\/3)\/((q*q**(-2\/15)\/q)\/q)) assuming q is positive.\nAnswer: q**(1697\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59735 = -12*f + 199895. Round f to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-9)*18\/48.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -3)\/(3\/(12\/(-22))). Sort u, -1\/7, 2\/5.\nAnswer: -1\/7, u, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 7*q)*(0*q**2 + 0*q**2 + q**2 - 2*q**2 + 2*q**2 - q**2 + (2*q + 4 - 4)*(2*q - 4*q + 3*q)).\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 s, and 1 g when three letters picked without replacement from fmbbfgmbfmasbm.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*k + 135 + 114 + 66 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -61*d - 115. Does 11 divide r(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/844 and 111\/46684?\nAnswer: 9850324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 198796390*b**2*y**3 - 10123016*b*y**3 + 3*y**3 wrt b?\nAnswer: 397592780*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**30*k**(-1\/12)*k*k assuming k is positive.\nAnswer: k**(383\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**2 + 6*s**2 + 0*s**2 + (2*s**2 - 5*s**2 + s**2)*(-1 + 1 + 1) - 1 + 5 - 5 + 327*s**2 + 516*s**2 + 1 to i*s + c + b*s**2 and give b.\nAnswer: 853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((12\/9)\/4*-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2*j + 4204, v - 2181 - 2028 = -j. What is the highest common divisor of v and 490?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 4*m**7\/105 + m**3\/2 - 34*m**2. What is the first derivative of l(s) wrt s?\nAnswer: 32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6407 + -6402. Solve 4*w - 3*z = -23, f*w - 15 = -4*z - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 164 = 9*z. List the prime factors of z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/(((a*a\/a**(-1)*a)\/a*a*a)\/a))*a)**(3\/32))**(-25)\/(a**(-5\/4)*a\/(a**(-9)\/a)*(a\/a**1*a)**(-1\/29)) assuming a is positive.\nAnswer: a**(-4429\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4549 - -0.4546457. What is m rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182850 is divided by 91345.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1069*f. Let n(u) = -7318*u. Give a(n(q)).\nAnswer: -7822942*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/11271 and 19\/31246.\nAnswer: 20716098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 18. Let f = a + 7.1. Is 3\/7 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*283.643\nAnswer: 1134.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**3 + 467*d**2\/3 + 512*d\/3 + 20 = 0. Calculate d.\nAnswer: -30, -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eighteen fifths of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 299517 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 432220026 a multiple of 751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06335 to three decimal places.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 29.39.\nAnswer: 14.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 18*u + 296. Let j be t(-17). Let y be -2*j*(-9)\/(-36). Determine i so that -5\/3*i**3 + 0 + 10\/3*i - 5\/3*i**y + 5*i**2 - 5*i**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/21876253 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-42) - (-122)\/6. Suppose -v*d = -18*d - 12. What is the greatest common factor of d and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-31.8.\nAnswer: -9.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 4\/3*a**2 + 0 + 23\/54*a**4 + 40\/27*a**3 - 1\/18*a**5 + 11*a. Suppose m(u) = 0. What is u?\nAnswer: -1, -2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150893825.\nAnswer: 3, 5, 59, 260089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 5:12 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 350085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**3 - 836*t**2 + 1687*t + 371. Calculate x(-211).\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -192*b**3 - 230*b**3 - 3*b**2 - 16*b + 421*b**3 - 3*b to d*b**3 + z*b**2 + t + n*b and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 2:33 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand w + 0*w + 14*w + (-2 + 2 + 2)*(-w - 4*w + 3*w).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (-2)\/(-3)*-3. Suppose y*w - 20 = 2*w. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 2354.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 5 - 0, -y = 3*u - 188. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 2*h - 4*h)*(3 + 1 - 3) + 2*h - 6*h + 5*h + 0*h - 2*h + h + (2 - 4 + 3)*(-3 + 3 + h + h - h + h - 5*h + 4*h + 2*h + (-3 + 3 - 1)*(0*h - h + 0*h)).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34)\/170 - 431\/(-5). Suppose 23*u = 6 + i. Let a(s) = 2*s + 3. Let v be a(3). Solve -2 = -2*g, -u*g = -2*j - 3*g - v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 17*r + 1. Let w be g(-17). Let b(u) = 11*u - 11. Let h(j) = -4*j + 4. Let m(p) = 2*b(p) + 7*h(p). Let q be m(w). Solve i + 7 - 2 = q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -7. Let f = 85 - v. Suppose 3*n + 9 = 0, -4*g + 3*g = -5*n - f. What is the remainder when 26 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4 - (-2)\/(-4). Suppose -2*b + x*b + 28 = 0. Calculate the remainder when 25 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by (24\/(-18))\/((-6)\/45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*i = 13, -3*u + 4*i = -6*u - 6. Solve -16*t + 15*t**2 - u*t + 12*t**2 + 45 - 42 = 0 for t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 1 + (-141 - -143) - -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -3*x. Suppose 54 = 3*v - 5*u, -31 = -v + 3*u - 9. Suppose v = x*i + 5. Solve z + 1 = -i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17 + 52 + 89 - 18 + 30 + 231*m wrt m?\nAnswer: 231","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 6:12 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-38)\/19 - (-10)\/4). Suppose -w - 4*u = -7, 4*w - 3*u = m*w + 3. Let x be 6*w\/(-42) + (-3696003)\/(-7). What is x rounded to the nearest 10000?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 31 = 4*j, -o = -3*o - 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-41)\/(-36) - (-25)\/(-20))*-6. Let x = -0.2 - -0.1. Let s = 4.2 + -4. What is the closest to 0.1 in x, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -45 (b) -0.1 (c) -29 (d) 0.38 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5289768 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*x + 292*x = 168*x - 1282 - 986 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-3)\/(-1*3\/4). Let d be f\/5 - 9\/(-5). Differentiate -d + 52*m - 34*m - 3 wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c59 - -2?\nAnswer: c5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 696 divide 2835844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -207 and -0.02.\nAnswer: 4.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.1 and -0.2?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 57597, 230398, 518407, 921624, 1440049, 2073682?\n\"Answer: 57604*w**2 - 11*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10*x. Let l(v) = 43*v + 12. Let y(k) = 93*k + 26. Let n(w) = 13*l(w) - 6*y(w). Give -4*d(f) - 28*n(f).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604.886053 - -50983?\nAnswer: 52587.886053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 344 and 18?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2732*s**4 + 1504 wrt s?\nAnswer: 10928*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(1980\/(-704)) - 1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*p**2 - 88*p**2 - 57*p + 145*p)*(346 - p**2 - 346).\nAnswer: -p**4 - 88*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 16*p**2 - 18*p - 18. Suppose 0 = 3*o - 3*s + 42, 0 = -o + s + 2*s - 8. Let f be l(o). Let w(k) = -74*k**3. What is the units digit of w(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -532 - -563. Put -3, r, 11 in decreasing order.\nAnswer: r, 11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 2*k - 2. Let u(c) = c - 1. Let j(s) = p(s) - 2*u(s). Let a(i) be the second derivative of 5*i**3\/6 - 45*i - 9. What is j(a(h))?\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -969, -1939, -2909, -3879?\nAnswer: -4849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/84603?\nAnswer: 1\/84603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.173052 nanoseconds to milliseconds.\nAnswer: 0.000008173052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -10*g**3 - g**2 - 3*g - 23. Is a(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/13 + ((-3860)\/260)\/(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 12*m**2. Let d(w) = 2*w + 8. Let u(g) = -g - 5. Let h(t) = 5*d(t) + 8*u(t). Give h(b(z)).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -51*d**6\/5 - 4*d**2 - 336*d. What is the first derivative of b(o) wrt o?\nAnswer: -1224*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 92*q*s + 2783*q*u + 13*s*u - 73014*u wrt q?\nAnswer: 92*s + 2783*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/26936 + 128855\/26936. Let l = 3859\/222 + n. Calculate the common denominator of l and (2\/4)\/(2\/(-148)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (-50)\/(-3))\/(4 - 20\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1921 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: Let f = -1173.9 + 1174. Which is the nearest to 0? (a) 5 (b) f (c) 0.5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 20\/25)*-5. Let u(b) = -3*b + 6. Calculate u(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/4 - 81*k\/2 + 216.\nAnswer: 3*(k - 48)*(k - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, 1\/26, -1\/2, -3?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + -4 + (24 - 17) + (-4 - 10) + -12?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from sjselnl?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32 - 0)*((-40)\/(-5) + -16). Does 5 divide -15*(f\/(-24))\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + 0 + sqrt(1008) - 5*(1 + sqrt(1008))))**2.\nAnswer: 7200*sqrt(7) + 403425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4eb9b8 + 5?\nAnswer: 4eb9bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 2\/33, 2, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -20, 0*n + 2*s + 50 = -4*n. Let d = n - -15. Solve d = -5*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -18*h**2 + 16*h + 82. Let v be b(11). What is v rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 181200238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i - 9. Let p be g(8). Let f = -15 + p. Let k = f - 15. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 d when three letters picked without replacement from {f: 2, v: 5, e: 1, x: 6, d: 2}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 55087.11m?\nAnswer: 55.08711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11392915 and 3?\nAnswer: 34178745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 702 and 312?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 2:04 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/6)\/(4\/(-24)). Suppose -3*b = -2*b + d. Let n be (10\/(-15))\/((-4)\/18). Sort n, -1, b in decreasing order.\nAnswer: n, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) - (5 + sqrt(7) + -2)**2)) + ((-6*sqrt(7)*3)**2 - sqrt(7)) + 1.\nAnswer: 5*sqrt(7) + 2285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -8. Suppose 0*s + s - 3*z = 0, -r*s = 3*z. Solve 6 = -s*c - 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75\/154 + 1\/77. Let q(d) = d**3 + 6*d**2 - 9*d - 2. Let k be q(-7). Let v be (-14)\/k - 9\/54. Which is the second smallest value? (a) u (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9 + 9286 + (0 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1366282, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 463.8616 centuries to millennia.\nAnswer: 46.38616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tswtltlltstwttt. Give prob of picking 1 s, 1 l, and 2 t.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.2342938 to the nearest integer.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 25 = -167. Suppose s = 10*r - 6*r. Suppose -v = a - 4, r*v - 7*v + 8 = -4*a. Solve 0 = 4*d - v*u + 4, 6*d + 4*u + 36 = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((0 - -2) + -20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4 + 6*z**3 - z**2 - 30*z = 0. Calculate z.\nAnswer: -5, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23\/1309506 or -1?\nAnswer: 23\/1309506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 1. Let y(g) = -12*g - 8. Let n(i) = -2*i - 1. Let t(d) = -3*n(d) + y(d). Let p = -3 - -5. What is p*t(q) - 11*k(q)?\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 3817413*z.\nAnswer: -3*z*(z - 1272471)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -10*d + 34. Let u = -256 + 260. Calculate the least common multiple of p(3) and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n + 1. Let z(d) = d. Calculate -k(r) + 4*z(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 11*d + 11. Let s be c(12). Which is greater: s or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42163151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 15*t + 6. Let d be -3*2\/(-18)*30. Let v = d + -25. Let w be o(v). Calculate the highest common factor of w and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c + 40. Let v(k) = 2*k + 41. Calculate 5*u(s) - 4*v(s).\nAnswer: 2*s + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/54*(-3)\/(-2). Let o = -28 + 28.13. Let z be (0 + 8\/(-10))*-1 - (-340)\/(-300). What is the second smallest value in z, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1608 = 5*m - 2*m. Suppose h + 2*d = -38, -3*h = -7*h - 5*d - 164. Let y = h - m. What is y rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1722 is divided by 144.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-9 - 4836\/(-234)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19569857?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/77 + -229\/154. Let a(z) = 5*z**2 - 53*z + 78. Let w be a(9). Let d = -9\/2 - -5. Sort d, w, x, 0.2.\nAnswer: x, 0.2, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15, -21, -85, -183, -321?\n\"Answer: -r**3 - 8*r**2 - 5*r + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 10*t - 6*t. Let n be 0 + t + (-21)\/(-7). Suppose -20 = -2*i - n*q, i + 1 = q + 5. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**2 - 1 - 6*u**2 + 3*u - 2*u. Let m(p) = 3 + 4*p**2 - 21*p + 7*p + 4*p + 6*p + p. Give 6*k(c) + 2*m(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/11 + 280445064*q\/11 - 9831179240245512\/11.\nAnswer: -2*(q - 70111266)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, t: 4, h: 2, c: 1, e: 2}. Give prob of sequence ttjh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (197 - 192) - (0 + 65)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2000 by -100.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 3*p - 3*p)*(-478 + 461 + 230)*(-6*p + 2*p + 2*p) as c*p**2 + s*p + l and give c.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 544 = -744, 2*r - 3*r = -16*c - 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2576 divided by -1288\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1868*c - 36*c**2 + 14*c**3 - 317 + 320*c**2 + 1181 - 22*c**3.\nAnswer: -4*(c - 27)*(c - 8)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4290532453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**11*r\/((r*r**(-3))\/r*r))**(35\/4))**(4\/11) assuming r is positive.\nAnswer: r**(-245\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15279 - 1160*b**3 - 2048*b**3 + 30565 - 15286)*(0 + 3*b + 0).\nAnswer: -9624*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1057622732*h**2 + 32253*h - 3070 wrt h.\nAnswer: -2115245464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1, 1, -3, -11?\n\"Answer: -2*l**2 + 6*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.24 - -37.44. Let a = k - -7.8. Sort 0.3, a, -2\/7, -2\/5.\nAnswer: -2\/5, -2\/7, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r + 21. Let g be k(5). Let q be 1438\/9 + (-2)\/g. Suppose -5*i = v + q, 79 = -2*i + 4*v - 7. Which is smaller: i or -32?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1033 + -103124?\nAnswer: -104160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164247 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126 - -125.43. Let g = m - -0.17. What is the second biggest value in g, 6, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -133, -151, -187, -247, -337, -463, -631, -847?\n\"Answer: -d**3 - 3*d**2 - 2*d - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (528\/(-594) - (-855)\/162*14).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 2152179866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79*q**4 - q + 72.\nAnswer: -316*q**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -48 * 87.44\nAnswer: -4197.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 7:41 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 338 - -501. Suppose 0 = -2*c - 47 + k. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228865*q + 4125 = 228920*q for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216942*a**2*w**2 - 11*a**2*w - 108345*a*w**2 + 8*a*w wrt a?\nAnswer: 433884*w**2 - 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.347 and -275141.\nAnswer: -275140.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*q)*(-2*q**2 - q**2 + q**2)*(6 + 5 + 50)*(-3*q + 3*q - q) to t*q**3 + a + c*q + v*q**4 + j*q**2 and give v.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from oaaocaoccco.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2423\/11 + 220. Let f = m + 26\/55. Which is the third smallest value? (a) -2\/15 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 - c + c + 4*c**2 + c**2 - 3*c**2 + (c + 0*c + c)*(-3*c + 5 - 5) + (-343*c**2 - 233*c**2 - 92*c**2)*(3 - 1 - 1).\nAnswer: -674*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s*(s*s\/(s*s**0))\/s))**(-6\/37)\/(s**(1\/8)*s**(-6)\/s)*s\/(s\/(s\/s**(-2\/3)))*s\/s**(2\/3)*(s*s\/s**(1\/2))**(-3\/4) assuming s is positive.\nAnswer: s**(1099\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*p + 646 = 0, 3*j - 2*p - 1292 = j. Suppose 2*x + 4*t - j = 0, -13 = x - 5*t - 329. What are the prime factors of x?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4288.3 - -4293. Which is the nearest to 1\/3? (a) -5 (b) s (c) 0.5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15192239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -359 - -645. Calculate the greatest common divisor of 26 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -6 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -17. Let t be 1\/(i\/5)*-4. Solve 0*f + 15 = -3*f + b, -2*f = -5*b + t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 11 = -2*m, -4*m + m = -5*r + 9. Let q(b) be the first derivative of 2 - 1 - 4 + b**m. Let a(w) = -3*w**2. What is a(q(v))?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2153, -4482, -6993, -9686, -12561?\nAnswer: -15618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/712 and -1\/6206682?\nAnswer: 24826728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49, 244, 569, 1024, 1609, 2324, 3169?\n\"Answer: 65*l**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(2\/5)*j)\/j)\/(j\/j**4*j))\/((j**9*j*j)\/j*j*(j*j**(2\/15)*j)\/j) assuming j is positive.\nAnswer: j**(-131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176316, 352450, 528584?\nAnswer: 704718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*7*(-1)\/(((-8)\/2)\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*w**2 + 7*w**2 + 8*w**2 + 5*w**2 as r + p*w + a*w**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -906 + 478. Let s = 449.7 + q. Let t = 22 - s. What is the biggest value in t, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -47. Let o = -18.5 - h. Which is the biggest value? (a) -0.5 (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8.04863835 and -316067.\nAnswer: -316058.95136165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 7.9, -14\/79, -1\/41.\nAnswer: -0.4, -14\/79, -1\/41, 7.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/14 and 49\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k = -3*k - 128. Let p be ((-15)\/5 + 4)*0. Let m = -7 + 9. Solve -m*s + p = -k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/6 + 9724*z\/3 - 411054.\nAnswer: (z - 126)*(z + 19574)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -7*v - 655. Let c = v - -29. What is the tens digit of c\/(-8)*(318\/18 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 165, 279, 385, 477, 549, 595, 609?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 15356832.\nAnswer: -5\/15356832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -3) + -21 - (51 - 57).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2969675911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9 - 1087163\/70 - 2\/20. What is u rounded to the nearest 100?\nAnswer: -15500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1111\/3 - -751\/2. Calculate the common denominator of ((-6)\/16)\/3*198 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3866 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2985*m + 12*m - 28035 = 778*m - 636*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43 or -233?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a kilogram in grams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -15. Suppose 26*s + 96 = 512. What is the highest common divisor of s and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 12. Let u be i(-7). Suppose -h + u*h = -116. Let s = -14 - h. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -76560, -76559, -76558, -76557?\n\"Answer: k - 76561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12258925.\nAnswer: 5, 7, 70051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 6*f**2 - 2. Let c be 2 + 2 - 0 - 10. Determine u(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90278.15 milliseconds in seconds?\nAnswer: 90.27815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 5. Let f = r - -15. Suppose 0 = -u + 9*b - 4*b + 45, 0 = -f*b - 10. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 21*d - 84. Let k be q(24). Let i be (1 - 1)\/(120\/k - -9). Solve 5*c + i = 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(55) - (-1*sqrt(5500) - sqrt(5500)))\/(sqrt(720) + sqrt(720)*1 + sqrt(720)) - (-1 + -6*(sqrt(176)*1 + sqrt(176))*-6).\nAnswer: -3449*sqrt(11)\/12 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**5 - 36*y**4 + 92*y**3 - 28*y**2 - 96*y + 64 = 0. What is y?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ignhh. What is prob of picking 1 g and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86 + -85.8. What is the closest to u in -2\/15, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -384 - -664. Calculate the highest common divisor of b and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + -6 - -116 - 63.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + r - 11, -5*x = 4*r + 43 + 17. Let v be ((-4)\/6)\/(-2 + x\/3). Sort v, -4, 0.5, -0.1 in ascending order.\nAnswer: -4, -0.1, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -1. Let k be -2*2\/(-4) - 87. Let g = -515\/6 - k. Which is the closest to -2\/3? (a) u (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k - 2. Let y(u) = -3 + 3 + 1 + 4 - 6. Suppose 0 = 2*b + 5*t, -b - t - 12 = -3*b. Suppose 5*j - b = -0*j. Give j*g(p) - 2*y(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 34*i + 18. Let f(r) = -17*r + 8. Let l(x) = -4*c(x) + 9*f(x). Find the second derivative of l(d) wrt d.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -162, 5, 3 in decreasing order.\nAnswer: 5, 3, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23001 (base 4) to base 9.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4 + 1192585*a**3\/2 - 1788873*a**2\/2 - a\/2 + 596291\/2 = 0. What is a?\nAnswer: -1\/2, 1, 596291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -13. Let y be 1\/o - (-84)\/20. Solve -x + y*x = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by -1*(5 - 106\/8)*4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - s - 9515 = 0, 3278 = 2*w + 4*s - 1466. What is the highest common divisor of w and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.545812356 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33646929 to the power of 1\/2, to the nearest integer?\nAnswer: 5801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 28 = 2*d - 5*a, 4*a + 20 = 0. Suppose 4*o = 4*r + 14 + 10, -4*o - 3*r = 4. Let c(f) = -o*f**3 - 5*f**2 - 8*f - 2 + d*f + 3 + f**3. Determine c(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276276065 divided by 5?\nAnswer: 55255213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*l - 240*l - 8 = 0. Suppose -7*g = -2*g + 4*j, -40 = -5*g + l*j. Solve -x - 8 = 4*z, -3*x + 4*x = g*z + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6))\/((-7)\/28).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254354677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -2 - -5) + 4 - 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -35 (c) -147 (d) -3 (e) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010201100102 - -210?\nAnswer: -1010201022122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 193?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -42633, -43564, -44509, -45474, -46465?\n\"Answer: -o**3 - o**2 - 921*o - 41710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 25, 3*g = 2*y + 8*g + 29 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2238 + 2238 + 32*r - 30*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*b + 216 - 86. Let f be (2*-1 + -2)*-2. Suppose b = 9*w - f*w. Solve -2*o - w = -0*o + 5*k, -5*o - 6 = 3*k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from savgddvoo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*k - 1146 = -73526. Calculate the remainder when k is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhllfbj. Give prob of sequence hvb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i - 66. Let f = 45 - i. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 + (-87 - 3 - -69)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-4)*(-27140)\/(-18998)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3455 < 0.082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 64 = -5*r. Suppose -5*a + 166 = -r. Let l = 45 - a. Is 3\/7 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 97.2?\nAnswer: -388.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + -2 - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 109 = 29*h, -5*n - 28 - 80 = 4*h + 7*n + 80 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 161*l - 1. Let t be v(1). Suppose t = 4*r - 2*r. Suppose -o = 5 - 15. Calculate the greatest common divisor of o and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/2827?\nAnswer: 4\/2827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -20\/7. Factor -c*k - 18\/7*k**3 - 24\/7*k**2 + 0.\nAnswer: -2*k*(3*k + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(2\/11))\/l*l\/(l*l\/(l\/(l**(-2\/5)*l))))**(-12)\/((l**(-1\/7)\/l*l)\/l*l\/l**(8\/7)*l)**46 assuming l is positive.\nAnswer: l**(8672\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v + 30. Let u be o(13). List the prime factors of (-6*13)\/((-6)\/u).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 + (-6 - -2 - -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19740 divided by -3948.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 - -0.825. Let o = -1.61 - -1.7. Let g = o + p. What is g rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 47*n**2 - 20*n - 64. Let v = -674 + 669. List the prime factors of y(v).\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 65298646 divided by 447251?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 1. Let i be c(-1). Let d be -3 + (1 - i) - 1. What is the second biggest value in 0.5, 3\/5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -924.7 and -29984282.\nAnswer: -29985206.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-50 - -1) - (-7 - ((14 - 27) + 8))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -28*f**2 - 1315*f - 31. Let z be u(-45). Calculate the greatest common divisor of z and 572.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*v + 1482 = 90*v. What is the remainder when v is divided by 67?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 92 - 65. Solve -v*h = 13 - 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c + 511. Let j(o) = 2*o**2. What is j(h(t))?\nAnswer: 18*t**2 + 6132*t + 522242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 97e169 (base 15) to base 3\nAnswer: 111121122101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 151285?\nAnswer: 151285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-10)*0)\/(-3). Suppose b = -5*r + 4*s + 18, r + 2*s = 1 - 3. Solve 0*k = -r*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 6:41 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-102*f + 5 - 104*f + 214*f)*(0 + 1 + 1) as m + g*f and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4950)\/(-297)*6\/4.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 5, 1476, 11?\nAnswer: 1476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 1, -33 in descending order.\nAnswer: 2, 1, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*q + 2*c, 0 = -3*q - 7*c + 2*c + 26. Let t = 27 - 15. What is the greatest common factor of q and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-1155)*105\/(-6) - (-4)\/24\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2188e - 1?\nAnswer: 2188d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 35.3. Suppose -8 = 3*q - 2. Put 2\/11, g, q in increasing order.\nAnswer: q, 2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225044358 divided by 208761.\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10762595009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(16\/12))\/(81\/(-18)). Which is the closest to -2? (a) -3 (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r + 40 = 24*r. Let h be 3 - 528\/r - 3\/(-15). Find the second derivative of 39*i - h*i + 51*i + 24*i**2 wrt i.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to -552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -18\/203, -2\/9, -439, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 not equal to 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983 is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2295850223\/1361475 - 45530\/27. Let g = 2268983\/7160350 - i. What is the common denominator of 47\/6 and g?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v = -101. Suppose u = -3, 3*u = 3*s + 2*s - 29. Suppose 3*a - v = 5*b - 10*b, a - s*b = 28. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 10:31 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3, 2*b + 2*x + 70 = 24. Let d be (-21)\/14*b\/6. Suppose 2*p + 3*p = 5*z - 5, 0 = 5*p - 3*z - d. Solve -2*a - p + 12 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 358369350 to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.825, 1, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -104*u + 423*u + 4710 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.131714 less than 34934.3?\nAnswer: 34934.168286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 0*j**2 + 14\/3*j**3 + 2 + j. Let y be o(-1). Solve 2*r - 3 = 3*h, 3*r - h + 3*h + y = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -258 + 227. Let m(n) = -100*n - 161. Is m(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 8 - (-1 + -2). Let i be (-15)\/l - 26\/(-4). What is g in -6*g**4 + 2*g**5 + g**i + 4*g**5 - 4*g**5 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6 = 2*b. Let q(v) = v**2 + 2*v + 2. Let i be q(-3). Suppose -3*u = 2*u - 15. Solve i*m - 11 = 4*k, -19 = -u*m - b*k - 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*w - 16*w - 40*w - 21*w + 16*w.\nAnswer: -95*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 5*y**4\/24 - 12*y**3 - 4*y**2. Let d be q(15). Suppose 50 = f + 3*k, -d*f + 0*k = -5*k - 80. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -86*v**5\/5 - 541*v**2\/2 - 20*v + 2. What is the first derivative of n(s) wrt s?\nAnswer: -1032*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3975264 divided by 774\nAnswer: 5136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 76830960 divided by 240\nAnswer: 320129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -469, -1058, -1883, -2944, -4241, -5774?\nAnswer: -7543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/10*60\/(-8). Let f = 15 - h. Suppose 0 = x - f*x. Which is smaller: -1\/2 or x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/77 + (-78)\/297. Let l(t) = 2*t - 1. Let w be l(1). What is the second smallest value in w, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 10*o + 25. Suppose -3*m - 2*m = -35. What is the lowest common multiple of b(m) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 135*y - 592. What is u(72)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3296530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*q, -22*q + y = -23*q. Let h be -47*(-9 - -25) + q + -2. Which is bigger: h or -755?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24278 - 19*s + 24278 + 5*s**2 + 19*s.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**7\/420 + k**4\/12 + k**3\/6 + k**2. Let l(z) be the first derivative of h(z). Find the first derivative of l(i) wrt i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -42 + (0 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14141 + 282763\/20. What is the common denominator of c and 107\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6761, 1\/4, 1.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37677475777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**3*r**2 + 1441*m**3 + 2515*r**2 + 2*r with respect to m.\nAnswer: -6*m**2*r**2 + 4323*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 7*m**2 + 7*m - 7. Let i be q(-8). Let b(g) = -g + 0*g - 6*g. Give b(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58964166.00000025 + -58964172. Let g = 1 - 7. Let c = g - n. What is c rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -26*k. Let o(p) = 3*p**2 + 9*p + 2. Let s be o(-3). Let h(q) = -103*q**s + 199*q**2 - 94*q**2. Give d(h(u)).\nAnswer: -52*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q + 72. Let t(s) = -3*s**2. Calculate z(t(r)).\nAnswer: -12*r**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + q**5 + 0*q**5 + (209*q - 209*q + 8*q**2)*(3*q**2 - 3*q**2 + q**2)*(-q + 5*q - 5*q) + (-4*q**3 - 2*q**4 + 4*q**3)*(2 + 2*q - 2).\nAnswer: -10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0498 + 249.9502. Let z = y - 250.3. Which is the nearest to 0? (a) 13 (b) z (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000583404 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/2, -72\/79, 1\/3, 0.09, 2, -5, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98.953 - -0.047. Let t = -90 + j. Which is the second smallest value? (a) t (b) 5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m - 3. Let o(s) = -28*s + 11. Let a(r) = 7*b(r) + 2*o(r). Suppose 6 = -5*h - 29. Let j = 6 + h. Determine a(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2180 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 8161, -1 in decreasing order.\nAnswer: 8161, -1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000119829 rounded to 7 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 less than -979?\nAnswer: -977.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*h = -22, -w + 4*h - 13 - 4 = 0. Let n = -10.5 + 11.52. Let l = -0.98 - n. What is the nearest to -1\/4 in w, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 2*w - 3*b, 16*w - 21*w = 5*b - 75 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 = -49*a + 406 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 1157492.\nAnswer: 5787460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31905797 and 23204216.\nAnswer: 255246376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.621668 grams?\nAnswer: 7621668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (76\/8)\/((-1)\/(-178)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 47586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/12 - (-40)\/(-12). Let q = m + 8. Suppose -200 = -q*w + 215. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = 0, 29 = -3*c - 3*x + 7*x. Let q be ((-12)\/(-4))\/((-1)\/c). Is q at least as big as 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and 0.5263?\nAnswer: 0.026315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 7*t**2 + 6*t - 5. Suppose 0 = -3*i - 2*y + 29 - 5, y - 3 = 0. Let h be r(i). Which is the third biggest value? (a) -1 (b) h (c) 2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (27\/12)\/(15\/136). Let v = 20 - z. Let y = -3 - -2.9. What is the closest to 1\/3 in y, v, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 2. Let v(f) be the third derivative of f**6\/60 + 2*f**3\/3 + 36*f**2 + 4. Let z be 41\/(-13) - (-4)\/26. What is z*v(c) - 5*n(c)?\nAnswer: -c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 25*m - 99. What is the lowest common multiple of a(-29) and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 10*a - 423 = -7*a, -2*p = -3*a - 180. Sort p, 8, -3.\nAnswer: -3, 8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*16.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2, -6\/95?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - h - 1. Let p be w(2). Let o = -179 + 168. Let j be ((-21)\/9)\/(((-22)\/12)\/o). Put j, 3, p in descending order.\nAnswer: 3, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*b + 25*b + 504 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9977 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - i + 6 = 3*x, x + 4 = 3*i. Suppose 4 = -v + 8. Solve -v*p**x + 6*p - 2*p**2 + 3*p**2 - 3 + 0*p**2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14260.4 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -526 + x**3 - 5*x + 0*x**2 + 526 + 3*x**2. Let i be y(-4). Let n be (-28)\/(-6) + (-7)\/21. Is i greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10\/7, 4 in ascending order.\nAnswer: 0, 10\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -17. Let k be 0\/(-2) - 4\/(-34). Suppose -12 = 5*b - 2*x + 14, 3*b = x - 15. Sort k, b, a, 1\/11 in descending order.\nAnswer: a, k, 1\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4384*b - 2189*b - 2194*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 775 and -5719245.\nAnswer: -5718470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.1 (b) 0 (c) 147 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 5\/(2975\/581). Sort b, -2\/3, 0.7 in increasing order.\nAnswer: -2\/3, b, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 3*q - 18, -5*q + 3 - 7 = -3*l. 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 the third derivative of 38*i**6 - 2*i**3 - 162*i**2 - 1 wrt i?\nAnswer: 4560*i**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129550 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1482, 1469, 1460, 1455, 1454?\nAnswer: 1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*15735.\nAnswer: 6294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3*r = -15, -219*r + 222*r - 3 = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -38. Let m = 12 + h. Let s be (-1)\/(-2) + 11\/(-2). Let b(w) = -w + 5. Let c(k) = k - 4. Give m*b(q) + s*c(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -285, -1095, -2679, -5295?\nAnswer: -9201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/8 + 1\/4. Suppose w = k + 3 - 9. Find the third derivative of 3*o**2 + 0*o**k + 0*o**2 + o**6 + o**6 wrt o.\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.83? (a) -0.3 (b) 11\/7 (c) 0.4 (d) 392 (e) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 36 = -2*x - 3*x, -2*y + 14 = 3*x. Suppose 3*a + 270 = x*a. Suppose -5*h + 2*h + a = 0. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1690 is divided by 155?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2309645 divided by 177665.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 204 = -5*c, 2*r - 3*c = r + 34. Let t(v) = -5 + 0*v**2 + 3*v + 0*v**2 + 2*v**2. What is the common denominator of r and t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 248?\nAnswer: -1\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4953915 or 4953921?\nAnswer: 4953915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 217.6 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 469270623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-27)\/(-36)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y - 14. Let g = 14 - y. Is 3\/17 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 6 - 2*m - 5 + 5*m in the form d*m + x and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1678582 is divided by 107.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115736406 by 177.\nAnswer: 653878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3 - 5466*i**2 + 5467*i = 0. What is i?\nAnswer: -5467, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b**2 + 1. Let j(d) = d**2 + 16*d + 12. Let f be j(-15). Let q be a(f). Let n = q + 423\/8. Sort n, -2, -20 in descending order.\nAnswer: n, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1 + 98*x - 207*x + 103*x + 2. Let y(p) be the first derivative of p**2\/2 + 8*p - 7. Let v be y(-9). Give a(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.45 + -2.8. Let l = -6 + o. Let v = 33.95 - 34.05. Which is the third biggest value? (a) -2 (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)\/x)\/x**(-4) assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1027*f + 29*f + 99*f + 2*f to d + g*f and give g.\nAnswer: 1157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 + 1.91. Let m(u) = -7*u + 1. Let i be m(-1). Let n be ((-2)\/4 - -1)*i. What is the closest to -1 in y, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 21000888*o - 36753108065712.\nAnswer: -3*(o - 3500148)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppg when four letters picked without replacement from pppppppgppgp.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/3886 and 43\/8?\nAnswer: 15544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1\/10, 6\/2711, 55, 0.3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102400 (base 5) in base 10?\nAnswer: -19100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17505870727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 2*n + 147*n + 102*n - 96*n + n + 0 + 0 + (-2 + 1 + 2)*(-n + n - 2*n) in the form y*n + a and give y.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from voooooovooovovooooov?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10, a: 10}. Give prob of sequence afaa.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*t**3 - 5 - 220*t**3 + 0*t**2 + 97*t**3 + 0*t**2.\nAnswer: -t**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*d + 2320 = -234*d for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84.8 - 85. Put -0.3, m, -5, 2 in decreasing order.\nAnswer: 2, m, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1263 + -1327)*2\/2.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 25906179*y**2 + 518124480*y - 2590623900.\nAnswer: -3*(y - 10)**2*(y + 8635413)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -9)\/((-10)\/12). Solve -4*s + h*s = 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22799, -22804, -22809, -22814, -22819, -22824?\nAnswer: -22829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/44 and 46\/55?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 4*o**2 + 10*o**2 - 5*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*j**5 - j**3 - 427*j**2.\nAnswer: -1860*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2199995*n + 1. Let f(g) = 2199996*g. Let q = 3 + 3. Let b(i) = q*f(i) - 5*p(i). Let h be b(5). What is h rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, 189, 696, 1687, 3324?\n\"Answer: 27*y**3 - y**2 - y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2801*i - 1016 - 1022 + 8808*i + 2038.\nAnswer: 6007*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1889\/30 + -254\/5. Calculate the common denominator of ((-269)\/(-18) - 4) + (-2)\/(-9) and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29\/409 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.24123kg in tonnes?\nAnswer: 0.08624123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, a: 3, z: 9, e: 3}. Give prob of picking 3 z and 1 a.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 263*g**2 + 2770*g + 595. What is o(252)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.013 + 3.987. Let o be 18\/12*(-23)\/3. Let p = -10 - o. What is the second biggest value in 2, d, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 25. Let r(p) = -v - 5*p + 3*p - 2*p. What is the least common multiple of 18 and r(-8)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18b534 (base 14) to base 11\nAnswer: -549473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 0 - (-3 - -2). Suppose 3*v + v - 3*i + 150 = 0, u*v = -2*i - 82. Let t = 14 - v. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27563266.\nAnswer: 2, 59, 109, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m + 1. Let h(v) = 25*v**2 - 3. Determine h(s(w)).\nAnswer: 2500*w**2 - 500*w + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = j - 2, 10 = 3*j + 2*j + a. Suppose j = 4*w - 3*w. Do 2 and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 15300288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 + 5*a. Let h(t) = -t**2 + 3*t. Let d(v) = -5*h(v) + 3*r(v). Let m(f) = 27*f. Determine d(m(i)).\nAnswer: -729*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 11*g**2 - 148*g - 255. Calculate t(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 12311121021012?\nAnswer: 12311121021001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107748*a + 107747*a + 12 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13353, 54618, 123393, 219678, 343473, 494778, 673593?\n\"Answer: 13755*f**2 - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3569.\nAnswer: 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 5:00 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a week in hours?\nAnswer: 2268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/33*(-2)\/4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*b - 249*b - 172*b = 9310 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**3 + g**2 + 2*g + 1. Let w be k(-1). Is 13 a factor of (w - 1)*(-133)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven fifths of a decade?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 38. Let p = o + 24. Is p at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*i**4*l + 2*i**2*l + 171*l wrt i?\nAnswer: 64*i**3*l + 4*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 15, o: 3}. Give prob of sequence nn.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l**(-9\/8)))\/(l\/((l\/l**(-1\/4)*l)\/l*l)) assuming l is positive.\nAnswer: l**(11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 724.6736 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 3*a - 2. Let t(h) = -2*h**2 + 2*h + 1. Determine 2*i(j) + 3*t(j).\nAnswer: -4*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222166897 to the power of 1\/2, to the nearest integer?\nAnswer: 47140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30328677, 30328671, 30328663, 30328653, 30328641?\n\"Answer: -f**2 - 3*f + 30328681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 5*i - i**2 - 2395*i**4 + 2398*i**4 - i - 3*i - 8 in the form c + g*i**4 + u*i**3 + o*i**2 + p*i and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 774*o = 779*o - 365. What is the remainder when o is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008810552 rounded to seven dps?\nAnswer: -0.0000881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(5))\/sqrt(4) + 2 + 4*(sqrt(7) - (sqrt(7)*1*3 + sqrt(7))).\nAnswer: -11*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + t)*(-8*t**2 + 3*t**2 + 4*t**2 + (0 + 0 - t)*(t + 5*t - 4*t) + 0 - t**2 + 0).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 3*t**3 + 297*t - 297*t.\nAnswer: -3*t**3*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213310 to the power of 1\/2, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (-16 - -32 - 39).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65\/153 - 11\/17. What is the fourth biggest value in o, -0.5, 0.09, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 296\/104 + 4\/26. Suppose t*b - b - 22 = 0. Let i = b + -5. Calculate the least common multiple of 7 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Suppose 0 = -5*i - q*s - s + 23, 2*s - 2 = i. Suppose i*a + 2*a - 84 = 0. What is the remainder when 40 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udwjnin. What is prob of picking 2 n and 1 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 405720 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 11609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9a (base 11) to base 6\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.5412825 nanoseconds?\nAnswer: 0.0005412825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 6*f = -4*f + 25, 3*u + 5*f + 72 = 0. Let x = -17 - u. Let o = -18 - -37\/2. Which is greater: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2*u**2 - 120*u**3 + 480*u - 1\/2*u**4.\nAnswer: -u*(u - 2)*(u + 2)*(u + 240)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 143*q. Let i be o(1). Suppose -i = 5*d - 33. Is 3\/(d\/(-7) - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151197200 = 592*i - 603*i. Suppose -5*a - 23*a - i = 0. What is a rounded to the nearest ten thousand?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*d = 3*d - 23, -5*y - 4*d + 56 = 0. Let j(n) = -2*n + 28. Let l be j(y). Suppose l*i + 8 - 28 = 0. Solve -2*v = 3*v - i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**2 + 51044*z - 51048 = 0.\nAnswer: -12762, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1858 = -8*y + 942. What are the prime factors of y?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*q + 19018, 126*q = 123*q - z + 14274. Is q a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 - 107. Find the common denominator of 19\/70 and s\/(-21) - (-8)\/4.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128560 times -1.2\nAnswer: 154272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9556944 and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/17, 2, -329, 2\/7, -1\/6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -9*v + 9. Suppose -u + 4*u - 12 = 0. Let o(y) = 2 - 7 + 1 + u*y. Calculate -14*o(g) - 6*q(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -186 + 185 + 4 + 1. Suppose -42*c**3 + 69*c**2 + 135\/2*c**5 + 3 - 72*c**q - 51\/2*c = 0. Calculate c.\nAnswer: -1, 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4980)\/50*30\/12. Let g = 382 - o. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5500121191 to the nearest integer?\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -y - 4*y - 43, -2*y - 76 = -5*r. Suppose 0 = -4*m + r + 10. Solve z + 5 = u, 5*z + m + 17 = 3*u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/21, -5, -2 in ascending order.\nAnswer: -5, -2, -5\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -137*h**2 + 179*h wrt h.\nAnswer: -274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 - w + 2. Let c be f(-2). Suppose -g = -3*g + c. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 7*n**2 + 7*n + 9. Let h be c(-6). Suppose -h*s + 2*s = -2. Solve -3*r = s*r + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 53237 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - j + 5*j + 27, i + 360*j - 362*j - 94 = -9*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5672 and 90572?\nAnswer: 128431096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.8 (b) 0.5 (c) 2\/5 (d) -4 (e) -69 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -12, -5, -9163 in descending order.\nAnswer: 3, -4, -5, -12, -9163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -384, -318, -202, -36, 180?\n\"Answer: 25*m**2 - 9*m - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 7*z**2 - 8*z - 7. Let r be j(4). Let o = r + -5. Let m(t) = 6*t + 4. Let d(v) = -11*v - 7. Calculate o*d(x) + 7*m(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 2*q**2 - q - 11. Let s be i(-5). Let u = s - 65. Let v(o) = 10*o**2 - 7*o - 4. What is the hundreds digit of v(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + sqrt(117) + -4 + -4)**2.\nAnswer: -102*sqrt(13) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*m**2 + 2 - 21*m + m**2 - 5*m**2 - 30*m**2 wrt m.\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 32, 2\/7, -2\/223?\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 26.1 (b) -4 (c) 50 (d) 1\/2 (e) 20\/9 (f) -2\/9 (g) -0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a hour in minutes?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -1\/4 (b) 4\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 18 times 9.826\nAnswer: 176.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 22 = -2. Suppose 0 = u*h + 4*c - 4, c + 9 = 4*h. Suppose -h*b = -7*b + 105. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4880\/(-10248))\/((-5)\/42))\/((-2)\/10)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a**(-3\/5)*a)\/a)**(-3\/20))**35)**(-7\/10))**(3\/2) assuming a is positive.\nAnswer: a**(-1323\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3286 (b) -43\/8 (c) 2\/11 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311 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: What is 243 minutes before 9:03 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 111. Let p(j) = 2*j. What is r(p(s))?\nAnswer: -2*s + 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 9*g**2 - g + 15. Let w be u(9). Suppose -6 + 66 = w*k. Let x = k - -54. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8152161 (base 10) to base 6.\nAnswer: -450421253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 - 127. Calculate the remainder when 47 is divided by (r\/12 - 2)*-12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*j**3\/2 + 2987292*j**2 - 13657344*j + 15608832.\nAnswer: 3*(j + 40648)*(7*j - 16)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/7 + 8\/7*l**3 - 2\/7*l**4 - 12\/7*l**2 + 8\/7*l = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31331 (base 4) to base 15.\nAnswer: 3e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.29 + 0.01. Let j = 0.6 + -0.2. Let k = -0.4 + -2.6. Which is the third biggest value? (a) f (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 389065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-24)\/s*s\/(s*s**(-2\/29))*s)\/((s*s**(-4\/9))\/s**(-33)) assuming s is positive.\nAnswer: s**(-14743\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681662 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -18*c**2 + 1791*c - 26951. Determine u(81).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*x - 12 = -x, -3*i - x + 16 = 0. Solve 0 = -2*w - 2*n + i, -5*w + 40*n + 10 = 39*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**4 - 3*h**4 + 2*h**4 + (1 - 2 + 2)*(92 + 0*h**2 - 220*h**4 - h**2 + 221*h**4).\nAnswer: 3*h**4 - h**2 + 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 17*r + 186. What is p(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/3 and 20\/50171931.\nAnswer: 50171931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2233*m + 2260*m - 3 - 6756*m + 2259*m.\nAnswer: -4*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 5*x - 2. Let q be o(4). Suppose 0 = f - 3*u - 70, 3*u + 78 = f + q*u. List the prime factors of f.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -6 - (-29 - -17 - (4 - 3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 5*x + 7. Let m be l(-5). Let v(f) = -8 + 10 + 2*f**2 - m*f**2 - 6*f. Let d(i) = -3*i**2 + 3*i**2 + i + i**2. Calculate 6*d(p) + v(p).\nAnswer: p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tts when three letters picked without replacement from {j: 3, y: 9, t: 2, s: 3}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-420)\/91)\/3*(-13)\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.66675 grams in kilograms?\nAnswer: 0.00466675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*w - 1, -2*r - w = -7. Suppose 18 = 5*v - r. Suppose 5*i = p - 27, -p + 0*i = -i - 11. What is the remainder when p is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/8645 and 73\/11115?\nAnswer: 77805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*sqrt(352) + (-1*sqrt(198) - sqrt(22)))\/(sqrt(121)\/(sqrt(11) + (sqrt(44)\/sqrt(4) - sqrt(11)))*-5).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 13*y**2 - 90 + 15*y**2)*(2 - 5*y**2 - 1 + 4*y**2).\nAnswer: -3*y**4 + 93*y**2 - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*m - 11. Let n(t) = -3*t + 1. Let j(d) = -d + 1. Let f(g) = m*n(g) + 5*j(g). Is f(8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**(-3)*k)*k*k)**(4\/3)*k**4*(k**(1\/24)*k)\/k assuming k is positive.\nAnswer: k**(65\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -46165327.\nAnswer: 5\/46165327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 70\/21*(1 - (-80)\/25)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 divided by -30.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3235063 is divided by 207?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74147166 by -4981.\nAnswer: -14886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*z - 302*z + 79*z - 1689 + 1689 + 89*z.\nAnswer: -441*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z. Let g(a) = -2477340*a. Give g(h(r)).\nAnswer: 4954680*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1481969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 8. Let x be (-4)\/(-14) - 88\/14. Calculate the lowest common multiple of c(x) and 539\/35 + 3\/5.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*u**3 - 12*u**3 + 13*u**3 - 100*u**3.\nAnswer: -123*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**3 + 5*s**2 - 1. Let b be g(2). Let l = 71 - b. Solve -a + z = -0 + 8, l*z = -a + 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 4. Let v = -0.5 + 0.3. Let g be (-2 + 0)\/((-2)\/(-5)). What is the nearest to v in -3, p, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/2 - 133*q**2\/2 = 0.\nAnswer: -133, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukl when three letters picked without replacement from {l: 5, u: 7, k: 4}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 782427 + 2*n + 782427.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.71962201814 from -279.\nAnswer: -277.28037798186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 15*o**2 + 6*o - 121. What is the hundreds digit of w(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463064 to the power of 1\/2, to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-6 - (-6 + -8 + 6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*l - 17, 2*a + 3 = 6*a - l. Suppose 52 - 180 = -3*u - p, 72 = 2*u - a*p. Calculate the highest common divisor of 492 and u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295172974?\nAnswer: 2, 147586487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 278 + -274. Is 2\/(-6)*-15 + 7688\/c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 33963*m**3 + 0*m + 2 - 9*m - 1 + 7. Let i be j(3). What is i rounded to the nearest 10000?\nAnswer: 920000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 3819 = 1099. Calculate the highest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 77131369 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4977*m - 4977*m - 681*m**3 + 227*m**3.\nAnswer: -454*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166752.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*i = 16, -5*o = -3*i + 5 - 17. Suppose 4*v + 5*r - 13 = 0, -2*r + o = 5*v - 9. Let k = v - -14. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 398761?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -91*q**3\/6 - 54*q**2 + 82*q - 20. Let n(p) be the first derivative of w(p). Find the first derivative of n(m) wrt m.\nAnswer: -91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytyy when four letters picked without replacement from {t: 6, y: 4, b: 3, h: 1}?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -5, 5, 4, 0 in descending order.\nAnswer: 13, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**4 + 1589896*m**2 - 3230034.\nAnswer: -12*m**3 + 3179792*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 2 + 2)*(-2 + 2 - 2)*(1 + 5 + 5)*(7 - 1 + 2).\nAnswer: 352*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2273 is divided by 1128.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*b + 798 = 0, 3*n - b - 1614 = n. Let s = n - 411. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.023 or -14079108?\nAnswer: -14079108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**3\/8 - 244227*h**2\/8 + 621397434*h - 6212448015\/2 = 0.\nAnswer: 5, 40702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -119\/3. Which is the nearest to 0.1? (a) -0.1 (b) -7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.89 + -14.81. Let z = -18 - p. Let g = 2 + -3. Which is the third biggest value? (a) 3 (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -81?\nAnswer: 4\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0. Let i = 5 - 1. Let l = i - 4. Which is greater: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 3. Determine c(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 50, -253, 1\/13, 0, -2.4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 948 + 950 + 978 - 2876 - 800*f**2.\nAnswer: -800*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -1 + (1 - 4))\/(9180\/(-540))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3))**(-12) assuming z is positive.\nAnswer: z**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299612 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*m + 36656 = 0, -4*h - 4*m = m - 48877. Is 82 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 8*o - 8*o)*(2*o + 2 - 2).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/2))**(-24)*(t*t**(2\/13))**(-41))**30 assuming t is positive.\nAnswer: t**(-32490\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.4 - 2. Let o = 22.6 - -3.4. Let j = o + -27. Which is the closest to j? (a) -0.5 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 978568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 439563?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 10 + (9 - (-2 - -5)) + -14 + 3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 66*p**3 + 55*p**2 - 55. Let k(o) = 44*o + 54. Let f be k(9). Suppose -f = 13*l + 265. Let x(a) = a**3 + a**2 - 1. What is l*x(u) + m(u)?\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -1\/10*c**6 + 4\/15*c**5 + 0*c + 3*c**2 - 2\/105*c**7 + 0*c**3 + 0 + 0*c**4. Factor f(n).\nAnswer: -4*n**2*(n - 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 737.06 + -737. What is the second biggest value in -1, 0.24, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*c + 54, -3*c - c = -4*q - 48. Let k = c + -5. Suppose 7*s - 2*s = 2*n - 1, 3*n - k = 3*s. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-5598)\/1134)*(1274\/(-252) - -5)*21?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555481562.\nAnswer: 2, 17, 16337693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-39 + 36 + -16 - -11) + (2 - (-2 + -66))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**3 - 3*j**2 + 3*j. Let m be q(2). Suppose 0 = -5*v - 269 - 441. Let l = v + 268. Calculate the highest common factor of m and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(420)\/sqrt(28))\/(sqrt(36)\/(1*sqrt(3))).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 4*n - 47, -n = -r + 3*n + 5. Let a(g) = g**2 + 6*g - 2. Let y be a(r). Solve y*b - 5*f = 10 - 25, -5*f + 5 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 34965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 4.31, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 19. What is p(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*c = -16, -3*c = -0*c. Is 0 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**4 - 1415*i**3 - 29410*i**2 - 183700*i - 261000 = 0?\nAnswer: -261, -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/3*(-6)\/2. Calculate the common denominator of 2\/k - (-368)\/(-180) and (10\/44)\/((-2)\/24).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 7*h + 5*w - 2595 = 0, 5*h - 4*w = 6438. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 1 = -9*p. Let r(u) = u**3 + u**2 - u + 1. Let a(o) = -o**3 - 4*o**2 + 4*o - 4. Determine p*a(j) - 4*r(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -2*j + 12, -78*j + 6 = -2*a - 77*j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1434467 (base 8) to base 4\nAnswer: -1203210313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 498220 divided by -4295?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 9*n - 0*n + 180, -4*c + 124 + 127 = -n for c.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 2, f: 5, u: 6, s: 3}. What is prob of sequence uj?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 58007\/4 - ((-21)\/(-28))\/(-3). Suppose 228*g - 234*g + b = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/10 - (132\/8 + 5\/(-1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -3056\/434459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 3:27 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1646975946 - 1646975946 + 9*z**3.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/32 and (-177)\/36 - -1 - -2.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**6\/30 - 7*l**5\/4 - 16*l**4 - 158*l**3\/3 - 80*l**2 - 3220*l. Suppose m(i) = 0. What is i?\nAnswer: -2, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 + 142 + 67)*(3*s - 2*s + 13*s**2 - 12*s**2) as g*s**2 + l*s + f and give g.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.999989 - -24. What is l rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 707 = 5*c. Let z = -60 - c. Suppose 7*a - z = -13. Solve 4*k + 12 = 0, 5*d + a*k - 19 = 2*k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/16 and (33\/48)\/((-9)\/30)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 2*s - 25. Let i be ((-106)\/15*s)\/(1\/(-3)). Which is smaller: i or -105?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -3563*u**4\/12 + 507*u**2\/2 - 1085*u. What is the derivative of j(l) wrt l?\nAnswer: -7126*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -81, -103, -127?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z = -117. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 + 11*o**2 + 5*o - 7. Let u(b) = -b**3 - 5*b**2 - 2*b + 3. What is 3*t(s) + 7*u(s)?\nAnswer: -s**3 - 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)*g**(-2)*(g**1)**24)**(2\/91) assuming g is positive.\nAnswer: g**(4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32809 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 50. Suppose 5*j = -5*w - a, 3 = 4*w + 15. Let z be -1 + -1 + j - -10. Solve -y - y + z = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - sqrt(204)*2)*5 + 3*sqrt(204)*1)\/(sqrt(48)\/sqrt(4)*5 - (sqrt(12) - sqrt(96)\/(2*sqrt(8)))).\nAnswer: -4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196389 is divided by 128?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.94 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2. Suppose 3*u - 6 = -5*s + 56, 2*s = 5*u. Let j(v) = 41*v**3 + 5*v**2 + 28. Let r(k) = s*w(k) + 2*j(k). Find the first derivative of r(d) wrt d.\nAnswer: 246*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18012613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -352*n + 144. Let h be y(-3). What is the highest common divisor of 30 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42237398 and 406.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4)*(-2)\/(-4)*-4. Let o(j) = 2*j - 1. Let g be o(4). What is the greatest common divisor of d and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 - 2*m**2 + 27*m + 63. Let n be r(-3). Solve 10 = -n*l + 20*l, z - l = -10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 318*d**2 + 5085*d - 5400.\nAnswer: -3*(d - 120)*(d - 1)*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.25193486 - 1.4\nAnswer: -1.14806514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - (-1 - -87)) + 0. Let h = r + 121. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b + 14. Let d(j) = 7*j - 13. Let k(z) = 4*d(z) + 3*i(z). Is k(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11*k - 7. Let l(q) = -5*q - 3. Let n(g) = -12*g**2 - 2*g**3 + g**3 - 1 - 3 + 13. Let a be n(-12). Let m(p) = a*l(p) - 4*x(p). Determine m(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50\/3 + 4\/(-6). Let v(i) = -i**3 + 9*i**2 + 6*i. Let c be v(8). Calculate the greatest common divisor of c and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 498107 + 508?\nAnswer: 498615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 50. Solve 4*a + h = -4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n**2 - 126*n - 369. Let p be l(22). Calculate the greatest common factor of p and 2509.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 563*i**2 - 283 - 562*i**2 - 46*i**3.\nAnswer: -46*i**3 + i**2 - 287","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11774, -46976, -105650, -187796, -293414?\n\"Answer: -11736*z**2 + 6*z - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 9*r - 6. Let j be b(-10). Suppose -5*z - 4*t = -47, 0*t - 3*t = j*z - 37. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182 divided by 11361.\nAnswer: -26\/1623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -56 times 647677\nAnswer: -36269912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 3*m**4\/8 + 7*m**2 - 25*m. Let k(u) be the first derivative of b(u). Let f(h) = 3*h - 3*h + 2*h. Calculate k(f(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*x**3 - 4*x - 2*x + 6*x.\nAnswer: 70*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 176768547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 6*j**2 + 9*j - 11. Let h be c(6). Let k = h - 41. Find l, given that -6*l + 3*l - k*l**2 + 0*l + l**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1456 is divided by 91?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 31582105 = 5*i, -a - 10527345 = -0*a - 3*i. Let h = 5927360 + a. Round h to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 2) + (-3 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-367 - 352 - 9*b + 722)*(-5*b**2 + b**2 - b**2) to the form k + n*b**3 + j*b**2 + i*b and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -804\/17251?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54, 228, 532, 978, 1578, 2344, 3288?\n\"Answer: 2*k**3 + 53*k**2 + k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(2*l + 3*l - 4*l) + 39*l - 24*l + 34*l.\nAnswer: 46*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173221 divided by 2087.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4539 - -4583. Solve v = -22*p - 44 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 668\/(-16) - -2*1. Let b = l - -40. Let c = -0.2 - -0.1. Sort c, 0.5, b in decreasing order.\nAnswer: 0.5, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 19*l**2 + l - 8. Let b be z(-3). Suppose 60*f + b = 64*f. What is the highest common factor of 320 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from {h: 1, o: 1, q: 1, t: 4, g: 1, a: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 - 1120020210201?\nAnswer: -1120020211112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5789316?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 5*a - 3, -18*b - 2*a - 17 + 5 = -11*b - 0*a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2420290.95 rounded to the nearest ten thousand?\nAnswer: -2420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/3163100 and 7\/4744650?\nAnswer: 9489300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 - (31 + (85 - 157)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -722 - -718. Let o(p) = p**3 + 3*p**2 - 6*p - 5. Determine o(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 29*k - 30*k + 23, 5*t - 15 = -5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/7 + 13\/7)\/((-8)\/184).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, x: 1, h: 4}. Give prob of sequence ii.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/7 + 3268*o**3\/7 + 1341498*o**2\/7 + 5326840*o\/7 + 5313800\/7.\nAnswer: 2*(o + 2)**2*(o + 815)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-12)*18\/(-60). Which is greater: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -92 + 141 + 3*l - 23 - 26. Let q(o) = 1222*o**2. Give q(h(x)).\nAnswer: 10998*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -12112020110?\nAnswer: 12112020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -5*z**3\/3 + 2*z + 76. Let w(y) be the second derivative of -1\/2*y**2 - 2*y + 1\/3*y**4 + 0*y**3 + 0. What is 3*h(u) + 4*w(u)?\nAnswer: u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -845, -853, -861, -869, -877?\n\"Answer: -8*v - 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.4 + 6. What is the nearest to 2 in -2, q, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 210. Let j(o) = o + 218. Let l(m) = -3*j(m) + 4*u(m). Let b(k) = k. Give b(l(t)).\nAnswer: -3*t + 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = 6*j + 83 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - h + h)*(-7 - 7*h + 7) + (h + 0*h - 7*h)*(48*h - 52*h - 70*h) + 3 - h**2 - 3 in the form x*h + m*h**2 + v and give m.\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5583.09 millennia to centuries.\nAnswer: 55830.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a decade in months?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + 41 + -32\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, j: 3, o: 6, r: 4}. What is prob of sequence ro?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 1. Sort 0.2, -4, m in ascending order.\nAnswer: -4, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 108*g**2 - 97*g**2 - 62*g**2 + 195*g**2 + 7.\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136 - (-9 - 25 - -15 - -46) - (1 - 15)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.377265 to one dp.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 9 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6111 is divided by 374?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 23 - (-14 + (45 - 17))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29433.\nAnswer: 3, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/12 + 4\/(-6). Suppose d*f - 291 = -3*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1.247.\nAnswer: 1.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*x = x - 13, 5*x + 15 = -5*v. Let y = -2.6 + 2.3. Which is the closest to v? (a) -3 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7307455 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 34*b**2 + 64*b - 1. Give a(32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 34*z**2 - 66*z**2 - 73*z**2. Let j be n(-2). What is j rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -3*k + 1, -y = -5*k - 6 + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415 + 223 = -117*g + 744. Solve -3*r + 2 = 3*z + z, g = -4*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*n + 890. What are the prime factors of n?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -1 - 41. Let m = r + -7. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3\/71 (b) 30 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -442 + 746?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29413897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 - 2*q + 7*q**2 - 6*q**2 + 4*q**3 - 154 to r*q**2 + a*q**3 + d + o*q and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 24 = 5*j. Suppose 5*d = v - 16, 2*d = -v + 6*v + j. Let h = v - -5. Does h = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7481087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0*5\/(-10))\/2. Let r = -2.48 - -0.08. Let v = 0.4 + r. What is the second smallest value in v, -7, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 6*l**2 + 3*l**2 - 4*l**3 - 38*l**3 as z*l**3 + h*l**2 + s*l + t and give z.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*d + 1. Let o be (3\/3)\/(1\/(-1)). Suppose 3*z + 4 = 19. Sort z, o, d in ascending order.\nAnswer: d, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/28 and 131\/335538.\nAnswer: 671076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333634?\nAnswer: 2, 7, 23831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(2299)*2)**2 + sqrt(19) + 5)*-6.\nAnswer: -55188 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -57. Let f be 2\/(1 + 4\/t). Solve 0*o + o = u - f, 0 = -2*o - 4*u + 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -60, -28, 38, 150, 320, 560, 882?\nAnswer: 1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12\/2135 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1960 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -4 - (-28 + 20 - 8)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6158*f - 3068*f - 2963*f)*(0*f**3 + 3*f**3 - 2*f**3)*(0 - 4 + 1) to x*f**2 + y + m*f**3 + b*f + s*f**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14748 = 3*l + 3*p, -2*l + 8886 = 5*p - 934. List the prime factors of l.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387417, 774837, 1162257, 1549677, 1937097?\nAnswer: 2324517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71763959*p**2 - 423878306*p wrt p.\nAnswer: 143527918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + 0. Let f = z + 127. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*j + 1 - 32, -2 = -x. Suppose -j*d - 3 = -30. Solve 0*i - d = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -0.1, 71, -3, -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75782 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/12 - (-18)\/4. Suppose 0 = -2*h + 2 + g. Suppose -35 = -h*a - 2*a. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1714 or 1417?\nAnswer: 1714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -22. Sort 0, 12, t, 1.\nAnswer: t, 0, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93848832.\nAnswer: 2, 3, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-1 + -8) - -11 - 19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2 = -2*z + 90, 3*z - 147 = -4*q + 35 for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4412708 rounded to two decimal places?\nAnswer: -2.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6243 - 3?\nAnswer: 6240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8d960 (base 14) to base 2\nAnswer: 1010100001100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16, 23, 28, 31, 32?\n\"Answer: -g**2 + 10*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -25174420568 and 1?\nAnswer: 25174420569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - i + 25*i - 179 = -67*i + 3*i, 2*a + 2*i - 2 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6*b - 2*b**2 - 28*b + 65*b - 31*b - 2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/7)\/j**(1\/3)*(j\/j**7)\/(j*j\/(j\/j**(3\/2))))**(-1\/2))**(-1\/3) assuming j is positive.\nAnswer: j**(-389\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -6)\/((-56)\/(-224))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -2468 (c) 0 (d) 2\/11 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 + 1220*y**2 - 1220*y**2.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o - 4*o - 31 + 9*o.\nAnswer: o - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30746 - -5042283\/164. Find the common denominator of p and 79\/8.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47710694?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160729?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*p - 81*p - 12 = 0. Solve p*v = 4*c - 17, 0 = -v - 0*v - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 2*n - 1. Let y be v(-2). Let b = -3 - y. Find the second derivative of -3*w + 2*w**2 + 3*w + b*w wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -18, 1, -1\/4, -7\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 13*d + 23*d - 32*d + 43. Let q be v(-10). Calculate the greatest common divisor of q and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6*(-9)\/2508. Let o = -18803\/2926 + s. Let f = 103\/10 - 13\/2. Calculate the common denominator of f and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 9 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -20*((-8)\/(-2) + (-6)\/12). Let f = -70 - v. Solve f = -4*o + a - 0*a - 1, -3*o + 18 = 3*a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000082205 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i. Let m be (-2 - (-5)\/2)*4. Let c(w) be the first derivative of 3 + m + 1 + w**3. Determine q(c(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 - 2*b**2 - 5*b - 3. What is y(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 144b - -4?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*(-6)\/(-48))\/(-24).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -599, -589, -565, -521, -451, -349?\n\"Answer: q**3 + q**2 - 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**3 - 3*q**2 - 6*q - 3. Let y(t) = -t**3 + t**2 + t + 1. What is 3*y(a) + z(a)?\nAnswer: -8*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(1872) + 2)*5)**2 + 4.\nAnswer: -1200*sqrt(13) + 46904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 42*j + 1032. What is g(-28)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 52 = -42*v. Sort 2, v, 14, 4 in ascending order.\nAnswer: v, 2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335355 is divided by 524?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16314?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 4.5. Let n = 4.15 - 1.25. Let j = x - n. Which is the biggest value? (a) -1 (b) j (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 12:11 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*q - 368 + 368)*(-2*q + 1 - 1) + 27*q**2 - 3*q**2 - 10*q**2 in the form o*q**2 + f + v*q and give o.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 4:44 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-7)*w**(3\/8) assuming w is positive.\nAnswer: w**(-53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3 + 10319*k**2 - 403692*k + 2796660 = 0. Calculate k.\nAnswer: -10358, 9, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 618193956 and 228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**6 - 672*w**3 + 328*w**2 - w wrt w.\nAnswer: 240*w**3 - 4032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 11:42 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-8)\/(-10))\/((-26)\/(-130)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/63 and 94\/374175.\nAnswer: 2619225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0309670417 rounded to 3 decimal places?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1251\/5 + -251. What is the second smallest value in -0.3, -1\/4, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 512, 2184, 6848, 15998, 31128, 53732?\n\"Answer: 249*s**3 + 2*s**2 - 77*s + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtjo when four letters picked without replacement from {x: 2, w: 1, j: 2, o: 1, t: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 255409\/2 - 120345. Let z = f + -7618. Let y = z - -2125\/8. Calculate the common denominator of -49\/18 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369897.828 less than 0.9?\nAnswer: -369896.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29fc - 13d9?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3910194 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.05489575 * -0.24\nAnswer: 0.01317498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 + 12*g - 57. Let c be l(4). Suppose 9*d - 559 = -c. What is the smallest common multiple of d and 77?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 - -317?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n. Let u(y) = -y + 2. Let w = -7 - -6. Let c(x) = 1. Let z(r) = w*u(r) + 2*c(r). Determine v(l) - 4*z(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2037315, -4074592, -6111869, -8149146, -10186423?\n\"Answer: -2037277*z - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 2760.5278?\nAnswer: -5521.0556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*s - 16, c + 13*s - 11*s = -1. Sort -1, 4, c, -78, -3.\nAnswer: -78, -3, -1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251888 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: Is 316943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*s + 5*z - z, 5*s + 34 = -2*z. Let j be (-3)\/(s\/8) + 0. Suppose j*n + 0*n - 196 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 20, -3, -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*i + 800252 = 0, -2*i = 362*p - 365*p + 600189. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 2*o**2 + 4. Let a be d(3). Let w(s) = -21 - s**2 + 2*s - s**3 + 9 - 2*s**2. List the prime factors of w(a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228194.\nAnswer: 2, 3, 11, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*x**4 - 2 + 2*x**2 + 32*x + 264*x**3 - 265*x**3 + 250*x**4 - 32*x in the form s*x + o + t*x**2 + l*x**4 + u*x**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -10*a + 5. Let q be u(2). Let f be 2\/(-5)*(q + 5). Solve 0*v + 0 + 0*v**2 - 2*v**5 + 0*v**3 - 1\/2*v**f = 0 for v.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*i - 2*s, i = 2*s - 0*s + 1. Let j = 3 - i. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -745 + 303. Let r = -1038 + p. What is r rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**4 + 491*k**3 - k - 2*k**2 - 488*k**3 + k = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 4*z - 5*z)*(-2*z - 4*z + 0*z)*(-1 - 1 + 4)*(5 + 3 - 3).\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + 0.02. Sort 5, 0.3, a, -0.5 in descending order.\nAnswer: 5, 0.3, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 4*s - 52, 2204*g - 2201*g + 3*s = 36 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (304\/(-10) - -10)\/((-14)\/35)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 7715261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 - 1 - (12 + -9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2274722, -4549443, -6824164, -9098885?\n\"Answer: -2274721*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - v**2 - v + 11. Suppose -r - r - 6 = -2*i, i = -4*r - 12. What is the tens digit of s(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34593541*o**3 - 34588336*o**3 - o**2 + o**2.\nAnswer: 5205*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4269061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 30 - -20*(-9 - (-1290)\/120)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - ((-9 - -18) + 3 - 21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 212*b + 246*b - 283*b + 2*b - 2 + 2 - 2*b + 6*b - 5*b + (b + 0*b - 3*b)*(2 - 3 - 1) + b - b - b - 5*b + 4*b + 2*b.\nAnswer: 180*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 444 and 24.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 109. Is -1 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**6 - 38905*s**5 + 20*s**3 + 15*s**2 + 323497*s?\nAnswer: 120*s**3 - 2334300*s**2 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26535495 divided by 279321.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -30?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 26 = -4*q, 4*g - 2*g = -3*q - 11. Which is smaller: g or 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261609897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 24*k**2 - 86*k - 50. Let o be u(-20). What is o rounded to the nearest one hundred?\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-3 - 3) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-2) - (-17388)\/184. Suppose 2*u = -u + 4*h + 269, u - 87 = 2*h. Is p >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7\/4*t + 39\/2 - 1\/4*t**3 - 7\/2*t**2 = 0. Calculate t.\nAnswer: -13, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -72. Suppose 3*j = 2*o - 28, j + 2*j = 3*o - 42. What is the remainder when r is divided by 2\/(18\/o + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**2 + 286*r - 2857. What is q(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/138 and -5\/14444.\nAnswer: 43332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 6 = -2*y, -5*y + 8*j = 11*j - 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 - -145. Calculate the remainder when 200 is divided by f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(27)\/sqrt(3))*-3.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 157\/212307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j. Let t = -1 + 6. Let k(s) = -5 + t - 2*s. Let l be -1*((-9)\/(-3) - 2). Determine l*k(r) + 3*q(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123.00001 - 123. What is v rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115489077 and 6369?\nAnswer: 6369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4235 or -14?\nAnswer: -4235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 420639 to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6376.\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 42\/9)\/(6\/(-9)). Solve 0 = -3*g - g - x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47908, -191545, -430966, -766171, -1197160, -1723933, -2346490?\nAnswer: -3064831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 27*q - 12. Let d be l(-14). Let i(w) = 2*w - 18*w + d*w. Let z(c) be the third derivative of c**4\/24 - 7*c**2. What is z(i(n))?\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -1100231?\nAnswer: 1100301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 16*v**2 + 18*v + 20. Let h be c(-17). What is the third derivative of 0*y + 0*y - 30*y**h + 42*y**3 + 7*y**2 wrt y?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6895 = -20*u + 4605. Let v = u - 360. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 46655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70.7832 - 0.2168. Is c at most -0.73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -13. Suppose -2*v + 5 + k = 0. Solve 3*x + 8 = -4*l, -v*l + 16 = -5*x - 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 1. Suppose z + 4 = 0, -4*z = -2*p - 1 + 3. Let g(u) = u + 12. Let l be g(p). Let n(i) = -5*i + 3*i + i - l*i + 6. Give -5*j(b) - n(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -87260000 to the nearest one million.\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 1394203 - 1394203. Let n(h) = 5760*h. Give n(v(c)).\nAnswer: 5760*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -c - 25, -9*c - 4*a = -7*c - 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 2. Let d(w) = -w + 3 - w - 2*w + 0*w + 3*w. Calculate d(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -706*l + l**3 + 702*l + 570 - 136 - l**2 to n*l**3 + j*l + t*l**2 + o and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55468241?\nAnswer: 55468241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 30*r**2 + 23*r**2 + 0 - 2*r**4 - 51*r**2 - 8*r to f + z*r**3 + c*r**4 + v*r + o*r**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13120100 - -3320?\nAnswer: -13110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 4*m**2 - 8*m. Let h be q(6). What is the greatest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42957911?\nAnswer: 71, 167, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 16*m**2 + 17*m - 5. What is h(-17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = -4 - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 245*b**2 + 43851*b - 366. Give k(-179).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -64\/15 <= 24991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) 3\/19 (c) -0.02 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45940199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*((1*sqrt(126) + sqrt(126))*4 + sqrt(126)))\/(4*((1*sqrt(54))\/sqrt(3) + sqrt(18))).\nAnswer: 9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 12 + -4 + -1 + (23 - -14) + 0.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i + 6. Let j be 2\/6 - 1\/i. Suppose -2*f - 2*d + 2 = 0, 3*f + 5*d - 3 + j = 0. Calculate the greatest common factor of f and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1364 and -5770.\nAnswer: -4406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 4:30 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1096, 1105, 1120, 1141, 1168, 1201?\n\"Answer: 3*k**2 + 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckk when three letters picked without replacement from kkkkckkkcckkkkkk?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -5)*(-1023)\/369. Let y = k - 9\/287. What is the common denominator of y and -123\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9) - 210\/9 - -2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2502147519?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 - 1 - 4*v**2 + 0*v**3 + 5 - 2 to s*v**2 + r*v + o + f*v**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 114*k + 115*k + 16 = 0, 2 = -3*z + 4*k - 11 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*g = 510378 + 491166. What are the prime factors of g?\nAnswer: 2, 3, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1369, -2737, -4105, -5473, -6841?\n\"Answer: -1368*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)\/((u**(-3)\/u*u)\/u)*(u\/((u*u\/(((u*u*u\/(u*u**1))\/u*u)\/u*u)*u*u)\/u))**(-3\/2) assuming u is positive.\nAnswer: sqrt(u)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -258*z - 159*z + 72*z - 307*z - 682*z to l*z + w and give l.\nAnswer: -1334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490376303 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*w - 3*w + 1461 = 0, -2*c + 5*w + 725 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = 8*b - 17*b + 300 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((96\/(-2))\/(-12)))\/(42\/(-16)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 + 41. Let k be (m\/8 + 3)\/(-3). Let f = 0.2 - 0.3. Which is the nearest to f? (a) 2\/11 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1 (c) -2.87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 740 divided by -3203\nAnswer: -740\/3203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 645760 and 9015.\nAnswer: 1164305280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 946404 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*s**5\/7 + 26169*s**4\/7 - 1379097*s**3\/7 - 172796*s**2\/7 = 0. Calculate s.\nAnswer: -3323, -1\/8, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(-4*sqrt(192)) + 0 + (sqrt(3) + -2*sqrt(3) + sqrt(3) - sqrt(3)) + (-2*sqrt(9))\/sqrt(3))**2.\nAnswer: 7203\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-3*j + 16 - 36 + 1).\nAnswer: -6*j - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 5*k**2 - 3*k. Let i be f(3). Suppose -3*b + 0*b + i = 0. Suppose 0*a = b*a - 69. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/87, 0, 2\/15, 2 in increasing order.\nAnswer: 0, 2\/87, 2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + 6*f**3 - f**3 + (-2 + 0 + 0)*(-2*f**2 - f**3 + 2*f**2) - f**2 + f**2 - 2*f**3 + 4 - 4 - f**3 + (4043 - 3578 - f**2 + 2*f**2)*(3*f - 14 + 14).\nAnswer: 4*f**3 + 1395*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*c - 5812 = -127*c - 586 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 181*t + 4897. Determine d(-205).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1417 + -505. Is j a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15147 - 0.4.\nAnswer: 15146.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3.6, -8\/7 in decreasing order.\nAnswer: 3.6, -8\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/480 and 53\/2?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*o. Suppose h = -o*h. Calculate the remainder when 31 is divided by h + 8*(1 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 0, -25, -3353, 1.\nAnswer: -3353, -25, -5, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-9)*(-1 - (-16)\/19). Which is the biggest value? (a) -0.3 (b) -1\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1278, -1279, -1280?\nAnswer: -1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5209 - -3442. Is -1769 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183604?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65686764 divided by 57772.\nAnswer: -1137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 154\/(-21) + (-6)\/9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4230853363?\nAnswer: 11, 384623033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -14*l - 11755. Is 11 a factor of (l\/(-161))\/((5\/(-42))\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*u - 9. Find the second derivative of -4*b + u*b + 21*b - 8*b**5 + 19*b**5 wrt b.\nAnswer: 220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*u + 5*k, -4771*u + 4767*u - 54 = 23*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 + 167 + 38*c.\nAnswer: 38*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 + -8633.\nAnswer: -8624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, 2, -2, 4 in descending order.\nAnswer: 4, 2, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -1\/8, 5 in ascending order.\nAnswer: -5, -1\/8, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, h: 4, u: 4, p: 4, q: 4}. Give prob of picking 1 q and 1 u.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.010598 (b) -5 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 1659*h + 26451. Determine v(17).\nAnswer: -1463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(192) + sqrt(192)*5)*2)\/(-5*3*(sqrt(64) - sqrt(64)*2)).\nAnswer: -8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w*w*w)**(-4\/19) assuming w is positive.\nAnswer: w**(-16\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4496 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 44*u. Let b be p(1). Let t = b + -33. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*a**2 + 0*a**2 - 97*a**2)*(-3*a**2 + 4*a**2 - 2*a**2) to the form c*a**4 + j + d*a**2 + r*a**3 + f*a and give c.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/5219?\nAnswer: -1\/5219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one fifths of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (0 - 0) - -2. Suppose f = -p*f + 18. Suppose 0 = -v + f. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 4 + -1 + 2. Suppose g - t = -2*g. Let k be g + -2 + 2\/3. Which is the closest to 1? (a) k (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-18) + (-62)\/(-6). Let r be -3 + v\/3 + (-29448119)\/(-3). Let z be 10\/6 - r\/24. Round z to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, 17, 66, 167, 338, 597, 962?\n\"Answer: 3*w**3 - w**2 - 3*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4701251 (base 8) to base 12\nAnswer: 517b49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {d: 2, s: 1, r: 1, w: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y - 48 = 0. Let j be 45\/6*y\/6. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*g - 6309, -77*x + 80*x - 6273 = 3*g. Is 50 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from cmcccccxccsvccsc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (0 - (-4 + -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 35071 = 5*v, 21035 = 3*v - 4*f + 6*f. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21, 466, 1191, 2196?\n\"Answer: 140*s**2 + 25*s - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6\/5)\/(d\/((d**21\/d)\/d)) assuming d is positive.\nAnswer: d**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2098 - 79*t - 2098)*(-5*t + 2*t + t) + (5 + 1 - 5)*(-t**2 + 1 + 2*t - 2*t).\nAnswer: 157*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/(-2)*-77 + (-20)\/40. Let k = c + -5179\/8. Is 6 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229770?\nAnswer: 2, 3, 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 8 = 2*o, o - 4*o - 4*k = 8. Which is the closest to -2? (a) 4 (b) -1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b = 84. Calculate the remainder when 82 is divided by b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*y - 229830 = -188295 for y.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/15)\/(6\/(-15)). Let q = -6 + k. Let z(a) = 5*a - 69*a**2 - 26 + 17 + 70*a**2 + 3*a. Give z(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-25 + 18 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5\/7)*q**(-30) assuming q is positive.\nAnswer: q**(-215\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -1\/2 (c) 2\/7 (d) 0.02 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) - (-39)\/4. Let s = 16 - k. Suppose 0 - s = -w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -13. Let j = i - -4. Let w be 2 + -2 - 1\/4. Which is the closest to w? (a) j (b) 1\/10 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3532188758.\nAnswer: 2, 7, 252299197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -2\/337197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 4*p + 12 = 0, 4*p + 5 = -k + 26 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.786465 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + o + 2)*(-2 - 2*o + 2)*(3 + 4 - 35)*(17*o**3 - 12*o**3 + 5*o**3) - o**5 + 0*o + 0*o.\nAnswer: 559*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*s + 46*s - 32*s)*(-1 - 2 + 2)*(2*s - 4*s + 3*s).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 473703 - 25?\nAnswer: 473667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 49*n**3 + 3*n**2 - 9*n + 4. Calculate r(2).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033384 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 15. Let i be s(-11). Let n(t) = t**3 - 15*t**2 + 15*t - 16. Let q be n(14). Calculate the remainder when -66*q\/i - -2 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649406?\nAnswer: 2, 61, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 360676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48426628*c**4 + 29*c**2 + 13020.\nAnswer: -1162239072*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8824*s**4 + 5 + 8831*s**4 + 6*s - 2*s to the form p + k*s**3 + j*s**2 + u*s**4 + z*s and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l**2 - 6*l - 4. Let w(r) = -9*r**2 - 11*r - 7. Let f = -44 + 41. Give f*w(s) + 5*z(s).\nAnswer: 2*s**2 + 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p - 5*p + 5*p)*(-34*p**3 + 175*p**3 + 125*p**3 - 10*p**3) as z*p**3 + c*p**2 + r*p**4 + m + g*p and give r.\nAnswer: -1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*c - 3*o + 27, 2*c - o + 11 = 0. Let b be 4 - 4 - (c + 0 + 3). Is 15 a factor of (b + 2 - -2)*15\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 1884\/440 - 26\/(-143)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v - 81 - 119 = -25 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 10*c**2 - 4*c**2)*(0 - 3 + 4 + 3 - 6 + 1 + (-3 + 5 - 1)*(3 - 2 + 1))*(6 - 7 + 6).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -560*q + 567*q - 2849. Is q a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64311.89km in centimeters?\nAnswer: 6431189000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 138.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 3*q**3 + 9*q**2 - 6*q**2 - q as l*q**2 + y + h*q + x*q**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27, 52, 87, 138, 211?\n\"Answer: s**3 - s**2 + 21*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Let s(n) be the third derivative of -1\/60*n**6 - 2\/15*n**5 + 0*n + 0*n**3 - 1\/3*n**4 - 3*n**v + 0. Factor s(g).\nAnswer: -2*g*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 5, 204\/11, 124, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14928 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/16)*k\/(k\/(k**12*k)))**(-29) assuming k is positive.\nAnswer: k**(-6583\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 46*4\/(-96). Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/(77\/(-11)) - (-30)\/(-7). Let k = 0.3 + -0.1. Let u = -0.6 + k. What is the biggest value in 3, u, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 26?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 323*m**2 - 19. Let t(r) = -36*r**2 + 2. Let k(f) = 19*t(f) + 2*z(f). Let x(l) = -l**2. Determine x(k(b)).\nAnswer: -1444*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 4*y**2 + 2*y**2)*(-16*y**2 - 53 - 193 + 17*y**2).\nAnswer: -y**4 + 246*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1609 + 7179?\nAnswer: 5570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 6:36 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 284 + -274. Let g be (0 - 0)\/(-1) + 3. Suppose g*w + 28 = b*w. Solve s + w = -0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 10422035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2692 and 597836.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k - 0. Let j(c) = 22*c + 1. Is j(k) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*o - 9, o + 71 = -5*k + 7. Let h = -14 - k. Let n be (-125)\/(-100) - 6\/4. What is the nearest to 1\/3 in 1\/6, n, h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -19*y**2 + 379*y + 1771. Give r(-5).\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -42*o - 29. Determine y(4).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/(-352))\/(16*(-4)\/(-512))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 - -5 - 1 - (-235 - -279)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0557 and -21.\nAnswer: -1.1697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13040 - 30611?\nAnswer: -14541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 p, and 1 d when four letters picked without replacement from ppfdfppfpfffapfapff.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3 - 45*r + 43*r - 7. Let c be q(-6). Let m(n) = 8*n - 1. Give m(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/50*348\/1827.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 11:28 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 - 4*p**2 + 4*p**2 + (6*p - 3*p - p)*(3*p**2 - 4*p**2 + 0*p**2) - 12*p**2 + 6*p**3 + 12*p**2 + (p - 15*p + 4*p)*(-6*p + 6*p - p**2).\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 140.04 > -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 108*z**2 + 9*z - 8. Determine n(1).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 830.98, 0.5, 21, -15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128973 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 + -82. List the prime factors of g\/(-30)*13*-5.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d = -14*d - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -229. Suppose 182 = -o + d. Solve -w + 0*w - o = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a - -4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 174468\/335 - (-18)\/15. What is the greatest common divisor of k and 9657?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 611 = v + 169, -5*v - 2*z = -2192. Suppose -2*d = 3*d - 2*n - 716, -3*d + v = 3*n. Is 31 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnb when three letters picked without replacement from gnbfhobg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -328 + 330. Suppose n*t + 5*c - 565 = -0*t, 2*t - 538 = 4*c. What is the greatest common factor of 55 and t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 430480005 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:33 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21991099891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + ((sqrt(112) + (sqrt(112) - (-2 + sqrt(112) + 1)))*6)**2).\nAnswer: -4063 - 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2345.51 - 1452.\nAnswer: 893.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 0.5, 3\/7, 2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35\/3 or 8893?\nAnswer: 8893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = j + 189, x - 2*j + j = 97. Suppose 5*l = n + 177, 3*n + x = 3*l - 7. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a meter in millimeters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(4\/7))**41)**(-1\/20) assuming u is positive.\nAnswer: u**(-41\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39084 and 20.\nAnswer: 195420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5965689.9653 + 5965987. Let t = -0.0347 + l. Let h = t + -309.3. Round h to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jczc when four letters picked without replacement from {p: 2, b: 1, z: 8, s: 1, j: 3, c: 2}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4613315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53012 - -53010. Let y(j) = 2*j**2 + 5. Let g(h) = 4 - 6*h**2 - 8 - 11. Give m*g(x) - 7*y(x).\nAnswer: -2*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 815 = -16*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -396*f**2 - 259*f**2 - 5*f**4 - 375*f + 70*f**2 - 120*f**3 - 435*f = 0. What is f?\nAnswer: -18, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21714 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 7*x**2 - 5*x - 4. Let t be d(6). Let w = t + 0. Suppose -w*h + 8 = 2. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/33, -16, 41\/7, 0.1, 0 in decreasing order.\nAnswer: 41\/7, 0.1, 2\/33, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*u - 580 = 0, 7 - 985 = -5*p + 3*u. Suppose q = 3*r + 166, -3*q + 3*r + 291 = -p. Calculate the remainder when q is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6905923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3728 + -3722. Let z(d) be the third derivative of 1\/10*d**5 + p*d**2 - 1\/12*d**4 - 1\/6*d**3 + 0 + 0*d. Calculate z(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 64 = 4*k, 0 = -k + 1 - 2. Let s be 1\/3 + (-328)\/(-24). Let p = 14 - s. Solve u + 3 = p, 2*u - a = 5*i - 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 24, 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 10 + 18. Suppose o = b + b. Solve -b*a + 5*d - 10 = 0, 0*d = -4*a - 3*d - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 884 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 17*c**2 + 201*c - 2962. Calculate i(15).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -591, -599, -609, -621?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 31*x. Let m(h) = -2*h. Calculate i(m(o)).\nAnswer: -62*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + s + 35 = 10, 15 = 3*l + 3*s. Let q be (4\/(-2))\/((-4)\/362). Suppose -l*j + 174 = -q. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10590 (base 11) in base 9?\nAnswer: -23040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 greater than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.14, -3, -9, 4, -0.3 in descending order.\nAnswer: 4, -0.3, -2.14, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -61, -217, -477, -841, -1309, -1881, -2557?\n\"Answer: -52*o**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2530233 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + -2*sqrt(153) + sqrt(153)))**2.\nAnswer: 72*sqrt(17) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 88295, -5.7 in ascending order.\nAnswer: -5.7, -1\/8, 88295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 412.831 - 413. Let t = l + 22.969. Round t to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 19*q = 108. Calculate the least common multiple of q and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuvvvvuvvuvuvuuvv. Give prob of sequence uuuv.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(10)*3))\/sqrt(4) - (-5 + -3*sqrt(63))**2.\nAnswer: -592 - 269*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2138 + 3707. What are the prime factors of z?\nAnswer: 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -36. Let w be (-15)\/15*(3*-2 + c). Suppose -4*p - 3*f + 81 = 0, -p - w*f = -6*p + 110. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 105, 117, 145, 195, 273?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 6. Let c be 16\/10 + q\/(-15). What is the remainder when 28 is divided by (1\/c)\/((-12)\/(-360))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e0 - -4?\nAnswer: -2dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/(-9))\/((-1)\/(-3))*3. Calculate the greatest common divisor of k and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 7757761?\nAnswer: -7757760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 2*a + 1. Calculate y(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 12 = -10. Let g(x) = 2*x**2 - 2. Let m(o) = 4*o**2 + o - 5. Give y*m(q) - 5*g(q).\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/17, -1\/2, -6, 2\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -220*c**2 - 531*c**2 - 692*c**2 - 10*c**6 - 36*c**4 + 0*c**6 - 5*c**6 wrt c?\nAnswer: -1800*c**3 - 864*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - (92 + -133 + 67).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - -2*sqrt(110)*-6)\/sqrt(10) + 0.\nAnswer: -11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2076 - 955. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 4*j - 55. Let p be b(0). Let k be (-210)\/p + (-4)\/1. Let z(g) = 2*g**2 - 4*g - 1. Let q be z(3). What is the closest to 0 in -4, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/21744 and -1\/192?\nAnswer: 86976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(2*u**5 + 0*u**5 - 4*u**5) + (u - u + 3*u**3)*(2*u**2 + 0 + 0) - 4*u**5 + 5*u**5 + 2*u**5.\nAnswer: 15*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16780 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.556 and -0.18049165899.\nAnswer: 7.37550834101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13703 is divided by 1810.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*(((-2*sqrt(99))**2*-3 - sqrt(99)) + 5 + (sqrt(99)*-3)**2).\nAnswer: 75*sqrt(11) + 7300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 6 + 1 = -5*d, 0 = d + n - 3. Suppose 0*t = -b + d*t + 616, -2*t - 6 = 0. Suppose b = 116*z - 111*z. List the prime factors of z.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqhypuxy. Give prob of sequence uxp.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -49?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-4 - -3) - (-2 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1697426*m**3 - 23*m**2 - 143157621*m wrt m?\nAnswer: 10184556*m - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.699013 to 2 dps.\nAnswer: -8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350, 686, 1008, 1310, 1586, 1830, 2036?\nAnswer: 2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h = -42. Suppose -2*s - h = -4*q, 5*s + 6 = -2*q + 19. Suppose -9*i + q*i + 2*r + 467 = 0, 4*r + 190 = 2*i. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 993 and 162.\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 2*y**2 + 11*y + 9. Is o(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18.696 and 204.\nAnswer: -3813.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.56622 to zero dps.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 936024 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: Suppose 3*r + m = -35, 18*m - 14*m - 55 = 3*r. Let g(p) = p**3 + 12*p**2 - 13*p + 10. Give g(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 7:57 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*p - 21 + 21 to z*p + t and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 81*r**2 - 152*r - 472. Determine j(79).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, 1533, 5.\nAnswer: 2, 5, 9, 1533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792600 is divided by 4284?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**5 + 7*t**3 + 104*t**2 + 6. Let w(q) = q**5 - q**2 + 1. Let d(y) = s(y) - 6*w(y). What is the third derivative of d(k) wrt k?\nAnswer: -120*k**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 bigger than 489\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7511997 a multiple of 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 181*f**3*k**2*n**3 + f**3*k**2*n**2 + 18*f**3*k + 3*f**2*k**2*n + f*k**2*n**3 + 2*f*k*n wrt n.\nAnswer: 1086*f**3*k**2 + 6*f*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + -4 + 7 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 3*c**2 - 4. Suppose u = -4*j + 13, -5*j = -4*u + 57 + 37. What is the remainder when u is divided by x(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 366*m**2 + 184*m. Let d(t) = 73*t**2 + 37*t. Suppose 225*r = 227*r + 4. Let y(o) = r*a(o) + 11*d(o). Find the second derivative of y(q) wrt q.\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 30 = -k, k - v + 5*v - 25 = 0. Suppose -4*a + m = -191, -k*a = 3*m - 235 - 25. Let g = 69 - a. Solve o = -2*c, -c - g = -3*c + 4*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -271 - -151. Let o = 118 + h. Is 14 a factor of 181 - 7 - ((o - 0) + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100110 (base 2) to base 3\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -9, -338, 15, 26, 3 in descending order.\nAnswer: 26, 15, 3, 2, -3, -9, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 13143?\nAnswer: 3942.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of ((-56)\/20 - -2)*(-3250)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4\/4 + 105*q**3\/4 + 5041*q**2\/4 + 4935*q\/4 = 0.\nAnswer: -35, -1, 0, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 241 by 1.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(24) - sqrt(96) - sqrt(24))\/sqrt(12)*-3*-6*-1.\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -68, -103?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -833006 divided by 833006?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggmg when four letters picked without replacement from gmmgg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82 - 68 + 17)*(2*x - 2*x + x**3).\nAnswer: -133*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 200585285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9565.578 millilitres to litres.\nAnswer: 9.565578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/12)\/(-12*(-6)\/(-96))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39934 is divided by 13271.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2014411044 (base 5) to base 14.\nAnswer: -779909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 2*z - 4 - 3, -4*z = -l - 3. Solve 2*d + 5 = -l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(1 - 2\/1). Let g(z) = -z - 15. Let k(q) = -q - 1. Let o(m) = g(m) - 2*k(m). Let u be o(y). Solve r - 1 = -u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75152*p + 197*p - 2 - 54640*p - 77551*p.\nAnswer: -207146*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*r + 321. Let q = r + -216. Let j = q + -56. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 369850 divided by -13\nAnswer: -28450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**2*m*m*m*m\/(m\/(m*m**(1\/2)*m)))**(24\/13))**36 assuming m is positive.\nAnswer: m**(7344\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3 = -w, 3*d + 3*w = -w + 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6)\/((-11)\/297). Determine u so that -x*u**3 - 6 + 9*u + 12*u**2 - 5*u**4 - 4*u**4 - 6*u**4 + 9*u**5 + 9*u**4 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*d + 3234 = 11*d + 352 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 182962 to the power of 1\/2, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 333030 - -400?\nAnswer: 333430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2005?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7\/2)*a\/(a\/a**(2\/13)*a*a))**(3\/17) assuming a is positive.\nAnswer: a**(-417\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 821843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45148, 0, 2\/3 in ascending order.\nAnswer: 0, 2\/3, 45148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12491 - 11040. Put 1, d, -1, 0 in descending order.\nAnswer: d, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4640 + 2?\nAnswer: -4635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5908628*o**6 - 1684*o**2 - 2*o - 40 wrt o.\nAnswer: -709035360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4395453 divided by -84.\nAnswer: -1465151\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 383\/((-436620)\/(-9360))*2\/(4\/19)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*7\/((-7)\/18). Calculate the remainder when 47 is divided by i\/2 - 0 - 2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 1009.439?\nAnswer: 3028.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14560302 divided by -2426717.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4734, 9393, 14054, 18717, 23382, 28049?\nAnswer: 32718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xsx when three letters picked without replacement from xxxsxsxxxxsxxxx?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(112) + 1 + sqrt(112))*2.\nAnswer: -32*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + 2*z + 7. Let g(a) = -a**2 - a + 1. Let t(q) = 3*g(q) - o(q). Let r be (-1 - (-10)\/6) + (-121)\/33. Calculate t(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -24*p + 2. Let q be h(-1). Let d = q - 28. Put 4, -1, d in decreasing order.\nAnswer: 4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(19) + 1 - (-3*sqrt(19) + 4))**2.\nAnswer: -6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.4. Let s be ((-12)\/2)\/(6\/(-28)). Let m be 44\/s - (-2)\/(-2). What is the closest to 0.1 in m, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -979123\/1376955 - 1\/30599. Calculate the common denominator of -63\/50 and b.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, 7, 25?\n\"Answer: 18*g - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1331)*4)**2*6*6.\nAnswer: 4599936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6*z = 34, -4*i + 5*z = 9*z - 80. What is the highest common factor of 2527 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1795 is divided by 446.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(0*b - b + 3*b) + 1779*b - 25*b - 6*b + 636*b - 69*b.\nAnswer: 2319*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 10) to base 9\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2. Let l(z) = -z**2 - z + 1. Let f(v) = 7*v**2 + 5*v - 5. Let p(w) = -f(w) - 5*l(w). Calculate p(b(r)).\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2 - 6*k + 6. Let z(l) = -l + 1. Let t(y) = -y**3 - 3*y**2 + 55*y + 168. Let n be t(-3). Give n*x(i) - 18*z(i).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 0. Suppose z - p*z + 204 = 0. What is the remainder when 49 is divided by -2*3\/((-18)\/z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663516577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35246969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2. Let v(x) = -15*x**2 - 11. What is r(v(f))?\nAnswer: -450*f**4 - 660*f**2 - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*x + 35. Does 10 divide (-4)\/(-1)*(x - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3*i + 10 = 0, -5*h + 178*i - 13 = 176*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358 less than -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kofoosoyokkofo. Give prob of sequence yf.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 2*f + 23. Let n be j(-18). Suppose -2*w + n = -w + 2*a, 3*a = -3*w + 1164. What are the prime factors of w?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7933 is divided by 294?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/5 + 13*j**4\/5 - 42*j**3\/5 + 58*j**2\/5 - 37*j\/5 + 9\/5 = 0. What is j?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 34184.545 to the nearest 100.\nAnswer: 34200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j + 6*j + 45. Which is smaller: 57\/7 or j?\nAnswer: 57\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 2, w: 1, k: 3, a: 3, p: 1}. What is prob of picking 1 w and 1 a?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + j**3 - 2*j**3 + 4*j + 2*j**2. Let l = 2 + 1. Let o be r(l). Solve 0 = -5*n + b - o, 0 = -3*n + 2*b - 4*b - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1575, 1582, 1593, 1608, 1627?\nAnswer: 1650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -3*y - 12, -2*y + 189 = 5*i + 188 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 - 60*l - 232. Give o(-34).\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 9:52 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, a: 4, o: 4}. What is prob of picking 2 o?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppkpkkk. Give prob of sequence pk.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1711529, 3423051, 5134573, 6846095?\n\"Answer: 1711522*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22929\/16 + -1427. Calculate the common denominator of 61\/18 and v.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8285 + -8289.81. What is the smallest value in -1, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 at most 121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 23, -49, -13, 1 in increasing order.\nAnswer: -49, -13, -4, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634251.\nAnswer: 3, 53, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935679459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = j + 3*y, -803*j = -808*j + 2*y + 19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 24 = 2*w, 11 + 73 = 3*d + 2*w. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 894*x + 892*x - 46 = 0, -2*l + 220 = -9*x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 829 + -829.0617. Round p to three dps.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7887, -31295, -70221, -124665, -194627, -280107, -381105?\n\"Answer: -7759*b**2 - 131*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10538, -21027, -31516?\nAnswer: -42005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*y + 230 = 6*y + 1880 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 0)*4\/82. Let b = -572.68395 + -0.01605. Let d = b - -573. Which is bigger: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/4 in -41, 0.6, -3, 2\/7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 22\/(-4) - 2. Let i be 0 + ((-4)\/(-6))\/(-2 + (-12)\/(-9)). Which is the nearest to i? (a) t (b) -1\/7 (c) 0.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 23.985312. Let x = -0.02 - -0.005. Let b = n + x. Round b to 5 dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**2*r**4 - a**2*r + 392392*a*r**2 - 3633290*r**4 wrt r?\nAnswer: 48*a**2*r - 87198960*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 227ba + 4?\nAnswer: 22802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/11)\/(114\/(-76) - 39\/(-33)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*w + 6 = -68*w. Differentiate -9 + 58*f**2 - 84*f**w + 3 - 3 wrt f.\nAnswer: -52*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9901*u + 4 - 4 + 2*u**3 + 9901*u - 19*u**2.\nAnswer: 2*u**3 - 19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3 - 1488\/(-296)) + -2)\/1. What is the nearest to 2\/3 in f, -3\/11, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23562, 23497, 23436, 23385, 23350, 23337, 23352, 23401?\nAnswer: 23490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 104*g*r + 54*g wrt r?\nAnswer: 104*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15023, -120232, -405793, -961880, -1878667, -3246328, -5155037?\n\"Answer: -15029*a**3 - 2*a**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -3*k - 0*k. Let n = k + 11. Suppose n = -2*c - 10, 2*c = -3*m - 3*c + 188. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138600 divided by 27720\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 - 6. Is c(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56501345807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -649*o + 649*o + 13*o**3 - 4*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 3*k**2\/2 - 4*k - 30. Let u be s(2). Solve 2*b = -5*n - 2, 2*b - u*n + 2 = 3*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 - (26 - (46 + -63)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-2 - -3))*(-5)\/(-15)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 6:40 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvylyyvvcycklykvyyvl. Give prob of picking 2 v, 1 l, and 1 k.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - p - 5, -4*o + 2*p - 4*p - 10 = 0. Solve 2*j + 2*m = -8, o = j - 4*j - 2*m - 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 != 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -20 + 0*j**2 - 8*j + 93\/2*j**4 + 1\/3*j**3. Find the third derivative of y(s) wrt s.\nAnswer: 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.57 in 0, -4\/273, -0.06, 0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 15, 27, 43?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*l - 192*l - 682*l**2 + 227*l.\nAnswer: -682*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7016154 millilitres?\nAnswer: 0.0007016154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 11) + 3 + 5 + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 34, 9\/5 in increasing order.\nAnswer: 9\/5, 13, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41.6, -847, -4 in decreasing order.\nAnswer: -4, -41.6, -847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/7)*g\/(g**(-2\/7)*g))\/(g**6\/(g\/(g*g*g**(-2\/5))))*(g*g*g**8*(((g*g**(-7)\/g)\/g)\/g)\/g*g)\/(g**(2\/3))**(-26) assuming g is positive.\nAnswer: g**(191\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 17*m**2 - 5*m - 2. Let y = -86 - -88. What is the tens digit of u(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 2 + -11 - -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, -53, -109, -201, -341, -541, -813?\n\"Answer: -2*b**3 - 18*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Let s = 0.1 + -0.3. Let n = -0.3 - s. Which is greater: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 413 + -225. Suppose -h - x = -5*h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 - 2*c**4 + 7*c**2 - 7*c**2 - 2*c**2 - 21 to the form d*c**2 + k*c**3 + n*c + x + t*c**4 and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 720709560 and 4590?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 - (12 + -14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/4))**(1\/7))**(-1\/41)*((c**7*c*c)\/c)\/c**5*(c*c**(2\/5)*c)**(-7\/2) assuming c is positive.\nAnswer: c**(-30991\/5740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**4\/24 - m**3\/3 - m**2. Suppose -2*h + 1 = -f, 4*f - 2 - 8 = h. Let d be u(h). Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 - 50. Let x(g) = -g**3 + 13*g**2 + 15*g + 28. Let k be x(s). Let o be ((-122)\/k - -3)\/(21\/98). Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 104*o - 250976 = 9*o. What is the greatest common factor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 441 and 981?\nAnswer: 48069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22250*i**4 + 5888*i**2 - 87751191.\nAnswer: 89000*i**3 + 11776*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 + 2*y**2 + 16*y**2 - 13*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 361 + -330. Is 31 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2*(sqrt(65) - -1*sqrt(65)) + sqrt(65) + sqrt(65))\/(-1*sqrt(125)))**2.\nAnswer: -16*sqrt(13)\/5 + 452\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7482 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 904 and 23962.\nAnswer: 21661648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -52825100 to the nearest one million.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -530515.823895 + 530525. Let a = -27.823954 - c. Let q = a - -37. What is q rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -25*b - 9. List the prime factors of z(-3).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -56) + (5 - 4) + (266 - 148 - 111)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 4*d - 1. Let a be q(4). Let l(r) = -2*r. Let g be l(-1). Do a and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/70 and (2 - 84\/(-36))*30\/154.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1073 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 11*k - 6. Let z be r(9). Suppose -2*v - v = -z. Let h = v + 2. 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 l = 2 - 3. Let t(r) = -13*r + 24. Let w(h) = -21*h + 39. Let g(d) = 13*t(d) - 8*w(d). Calculate g(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -504 - -509. Suppose 20 = -5*m, 3*m + 35 - w = 2*t. Solve -16*g = -t*g + 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 513.09 to the nearest ten.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 40 - 4 = 0. Let r(j) = -8*j + 11. Let t be r(-1). Let c be (-12)\/(-9) - (-4)\/6. Solve 3*a = -2*a + i + t, c*a = 3*i + l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.366466 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12 + -5 - (-1 + -1). Suppose u + o = 3*i + 5*u, -i + 3 = 2*u. Solve -9\/2*p + 3*p**4 - 1\/2*p**5 - 7*p**i + 8*p**2 + 1 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470 = 4*t + t. Suppose -3*o = -t - 11. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*g + 18*g - 696 = -723 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1011*n - 43441. Calculate o(43).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0*j**3 + 0*j + 0*j**4 - 12*j**2 - 1\/30*j**5 + 0. Let p(q) = -7*q. Calculate p(i(o)).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 9*a + 11. Let y be p(-13). Let u be 963\/y + (-4)\/14. Solve 5*q - u = -0*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -10 + (-10 - -29)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -283, -2449, -8505, -20449, -40279?\n\"Answer: -333*g**3 + 53*g**2 + 6*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14, 32, 52, 74, 98, 124?\n\"Answer: p**2 + 15*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/18 and -89\/28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 33*n**2 + 60*n + 67. Determine v(31).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276623 + 70*c + 276623.\nAnswer: 70*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13523 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/15, 0.1, 116?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -2*w + 9, -f - 2*w = -58 + 59 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(9\/13))\/((d*d*d**(-9)*d)\/d) assuming d is positive.\nAnswer: d**(95\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 66800406.4 rounded to the nearest one hundred thousand?\nAnswer: 66800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 794 divide 201316318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507060 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 24*l**2 - 48*l - 16. Let w be h(21). Let r = 224 + -198. What is the highest common factor of w and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -484, -555, -666, -811, -984?\n\"Answer: r**3 - 26*r**2 - 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 675*n**3 + 12 - 14*n**2 + 13*n**2 + n - 778*n**3 as q*n**3 + t*n + x + c*n**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**6\/480 + n**5\/120 - n**4\/96 - 4*n**2 - 16*n. Let k(l) be the first derivative of d(l). Factor k(o).\nAnswer: -o*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*0.028\nAnswer: 0.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 20. Solve -3*m + 15 = 3*v, 7*v - o*m = 2*v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1377) - (sqrt(1377) + 0))**2 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2917449246 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -214772?\nAnswer: -3\/214772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 8. Let r = 4 - c. Let q(l) = -318*l - 1. Is q(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 + 2*z**5 - z**5 + (z**3 - z**3 + z**3)*(2*z**2 + 9*z**2 - z**2)*(-1 - 2 + 4).\nAnswer: 11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10542745 rounded to the nearest ten thousand?\nAnswer: 10540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*d = -98*d + 12. Which is smaller: d or -322?\nAnswer: -322","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 3, m: 1, l: 3, q: 3, u: 2, p: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*u - 2, 2*v + 2*u = -0*u + 8. Let x be v*(1 - 0\/(-3)). Suppose x*o = 7*o - 140. Calculate the greatest common divisor of o and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 544 - 416. What is the highest common divisor of 48 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. What is the smallest common multiple of 36 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 - 40. Let i be (o\/5)\/(15\/825). Let p = 374 - i. Calculate the greatest common factor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46590 is divided by 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4564*s - 41. Let u(b) = 3043*b - 27. Let g(o) = -o**2 + 19*o - 8. Let a be g(19). Let z(f) = a*u(f) + 5*n(f). Is z(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*g + 10 = 0, -1 = 2*x - 3*x + 2*g. Let u(y) = 1 + 3 + 6 - 3*y. What is the units digit of u(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.024505 and -57365291.\nAnswer: -57365290.975495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -216 - -216. Solve 2*w + 2*d - d - 3 = 0, i = -4*w - 5*d - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8))**32*(i**4)**(30\/11) assuming i is positive.\nAnswer: i**(-2696\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/((-6)\/24). Let o(z) = 3*z - 3. Let a be o(2). Differentiate -3*y**2 - a + h - 1 wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qit when three letters picked without replacement from {t: 4, h: 2, q: 1, e: 1, w: 3, i: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nllulnjnjjuunu. What is prob of picking 2 l?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m - 4 - 7 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1101, -2209, -3333, -4479, -5653, -6861?\nAnswer: -8109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 8) in base 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*b + 5*b - 148 = 76 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + -0.3. Let z = -0.1 - -0.2. Let t be (-5)\/(-4) - (-2)\/8. Which is the nearest to z? (a) t (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18490 by -3698.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7504?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 8*u**2 + 5*u + 17. Let w be i(7). Solve 2*o = -w*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183048987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 2 = -4*r + 13*v, -2*r - 10 = 2*v. Let d(b) = 421*b - 95. Let i(z) = 208*z - 48. Let t(a) = r*d(a) + 5*i(a). What is the derivative of t(f) wrt f?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40461090611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -354 - -357. Solve 1\/6*j - 1\/3*j**b - 1\/6 + 1\/6*j**5 - 1\/6*j**4 + 1\/3*j**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2649747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13345310453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 279365\/42 - 6652. What is the common denominator of f and (-47)\/(-141) - 109\/(-12)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 8*u + 8. Let l be i(-9). Let x be -1*(1 + l + -16). Suppose -5*a + 18 = 3*b - x, -2*a = -4*b + 2. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 11000?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 809511864 a multiple of 5362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjtjgjtgjgtztb. Give prob of picking 2 g and 2 z.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(-5)\/(-15)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1819*o**2 + 3627*o**2 - 1809*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18058*q**4 + 18064*q**3 - 18052*q**2 - 18064*q - 6 = 0. Calculate q.\nAnswer: -1, -3\/9029, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 37. Calculate the remainder when o is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 8. Let i be l(6). Suppose -5*k + m = 0, -k - 7*m = -2*m + 26. Let r = -2 - k. Which is bigger: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 44, -30, -214, -544, -1056?\nAnswer: -1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126 - 124. Let u(k) = k**3 - k**2 - k - 1. Determine u(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-1*4 + sqrt(114))\/sqrt(6))**2 - (sqrt(57)\/sqrt(3) + 0 + 1).\nAnswer: -sqrt(19) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-36)*33*(-25)\/3850.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**6\/10 + 141*o**5\/20 - o**4\/12 - 29*o**3\/3 + 3*o**2 - 10*o - 113. What is the third derivative of q(t) wrt t?\nAnswer: -72*t + 846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + 47 + 0 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 998?\nAnswer: 1\/998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*a = -80540 - 112514, 5*d - 241364 = -4*a. Is 163 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13751840 by -16.\nAnswer: -859490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 62*c**2 + 9*c + 9. Let m be y(9). Let r be ((9\/(-6))\/(-3))\/((-6)\/m). Find the common denominator of (4 - 2)\/8 + r\/(-72) and 109\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 20*o**2 + 25*o + 10.\nAnswer: 5*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let s(i) = 18*i**2 + 16*i - 4. Let x be -4*(-4 - (-45)\/12). Let b(v) = x*s(v) + 2*y(v). Factor b(f).\nAnswer: 2*(f + 1)*(9*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 12*p**2 - 27*p - 12. Calculate l(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 257477640?\nAnswer: 257477640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*f = -55, -4*f = -3*n - 3*f + 13. Let g be 3 + 58\/(-1) - -1. List the prime factors of (8\/n)\/((-12)\/g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/4, 0, -71, -0.4, -8 in increasing order.\nAnswer: -71, -8, -2, -0.4, -1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 14 = u, -3*u + 2*s = s - 77. Suppose i - j + 27 = -3*i, 0 = -4*i + 4*j - u. Which is the nearest to 1? (a) -2 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -24*n**4 + n**3 + n + 17. Let c(v) = -v**4 + v**3 + v + 1. Let y(a) = c(a) - t(a). Differentiate y(q) wrt q.\nAnswer: 92*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 p when four letters picked without replacement from {o: 6, g: 6, j: 3, h: 2, p: 2}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71 - -59 - (-1 + -3)) + 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -174 (base 9) to base 2\nAnswer: -10010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/10326 and 67\/48188.\nAnswer: 144564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6182638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0051964 rounded to 4 decimal places?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*a + 75. Let m be (-4)\/(-3)*117\/6. Let t = a + m. Calculate the remainder when 23 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2723865 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -158 - -210. Suppose -v = 13*y + 156. Is -16 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -39, -59, -75, -81, -71, -39?\n\"Answer: y**3 - 7*y**2 - 4*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**4\/3 + 7552*u**3\/3 - 206152*u**2\/3 + 1280000*u\/3 + 497900 = 0.\nAnswer: -1915, -1, 13, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. What is the third derivative of 5*h**2 + h**2 - 8*h**2 + h**3 - a*h**3 wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6 - (-60)\/(-9). Let n(q) = -q**3 - 6*q**2 + 4*q + 1. Let s be n(c). What is the greatest common divisor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from ntfantaftaottt?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -26*y**2 + 677*y - 23. Let o be q(26). What is the smallest value in -13, 9, o, -0.1, 1\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2562 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*(-w - w + w) + (4 - 4 + 3*w)*(-5 + 1 + 3) to the form s*w + t and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 3*v**2 + v. Let c be q(4). Let h = c - -13. Let l be (1 - h)\/(2 + (-4)\/4). Solve 6*t - t - x = -11, l = -t - 2*x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -681*h + 336*h + 344*h - j + 13, 0 = -2*j + 6 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-41)\/902*-99*1\/3. Suppose n = -2*n + 162. Let q = n - 379\/7. What is the nearest to r in q, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (28\/80)\/((-1)\/(-4)) and 11\/55 - (-2253)\/(-2940).\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -419 - -242. Let r = d - -7. What is r rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124 + -106. What is the remainder when u is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f + 14. What are the prime factors of j(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 444*x + 1754. Let m be f(4). Let g(o) be the second derivative of -3*o**5\/20 - o**4\/2 + 2*o. Let h(d) = d**2. Determine m*h(c) - g(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24486001 and 90695?\nAnswer: 1346730055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.33148 kilograms to nanograms.\nAnswer: 36331480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24184684.\nAnswer: 2, 23, 262877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y + 14. Let g(o) be the first derivative of 3*o**2 - 26*o - 22. Let m(d) = 3*g(d) + 5*v(d). Calculate m(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h**2 - 5*h**2 + 2*h**2)*(28*h - 1262*h + 480*h + 52*h) to the form u + a*h**2 + v*h**3 + r*h and give v.\nAnswer: -1404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 a factor of 56362187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -68. What is the nearest to -4 in 1, 2\/7, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 5*f + 2. Let y be a(5). Suppose -3*v - 15 = -3*q, -q - y*q + 5 = 2*v. Let o = 5 + v. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9721735?\nAnswer: 5, 173, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/13 + 16*b**3\/13 + 14*b**2\/13.\nAnswer: 2*b**2*(b + 1)*(b + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40255 is divided by 6706?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 4*x - 318, 179*g + 129*g - 4*x = -9733 + 28821 for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40819648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 23 - 29. Let d = q + -16. What is the remainder when 19 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 11) in base 14?\nAnswer: bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 792521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 4*h**2 - 4*h - 1. Let u be f(3). Let y be u\/(-14) + 374\/14. Let m be ((-12)\/y)\/((-2)\/(-3)). Which is smaller: -0.2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7098.05577 - -7098. What is f rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15536?\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 (base 6) in base 3?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2. Which is the second smallest value? (a) 1 (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079 is divided by 48.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 15*a**2 + 2*a - 27. Determine p(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 0 + 0 + 8*m - 8*m - 6*m**2 + (-3*m - 2*m + m)*(-2*m + 3*m - 3*m))*(2*m**2 + 1 - 1).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f - 2. What is the common denominator of (-4)\/((-256)\/(-74))*f and ((-3)\/12)\/(-5 + (-2985)\/(-594))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 3)*(-85 - -2). Let c = -78 + h. Solve -30 = -4*a - 0*a - 2*s, 0 = -3*a + c*s - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.07993 + -0.17156. Round c to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/36 + 53\/36. Is d != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 9*r**3 + 6*r**2 - 10*r + 6. Let g(f) = -8*f**3 - 5*f**2 + 9*f - 5. Let y(b) = -5*c(b) - 6*g(b). What is the second derivative of y(i) wrt i?\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 43.6. Let m = -0.4 + h. Let p = 8.9969 + m. What is p rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, f: 5}. What is prob of sequence fll?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3351a + 1?\nAnswer: 3351b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 u, and 2 i when four letters picked without replacement from giugisusuug.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - 2. Let s(g) = g**3 + 7*g**2 + 6*g. Let p be s(o). Suppose 267 = 3*f - m - 0*m, -4*m = p. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12222020000 (base 4) to base 13\nAnswer: -4915b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8039, -8194, -8449, -8804, -9259, -9814?\nAnswer: -10469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -900*z - 3*z**4 - 53 + 301*z + 299*z + 299*z in the form f*z**2 + v*z**3 + c*z**4 + t + r*z and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3146334.2 times -2?\nAnswer: 6292668.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, x: 3, h: 1, p: 5}. Give prob of sequence fpf.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -18.5.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-70) - 3\/(-12). Let r = f - 1\/28. Factor r - 2\/5*b + 1\/5*b**2.\nAnswer: (b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 5:16 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**(-7)*k*k))**(-34\/7)*(k*k*k**2\/k*k)\/(k**(-6\/7)*k) assuming k is positive.\nAnswer: k**(-109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*7*-88*468\/(-1248)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 9*d. Suppose m - 8 = x, 4*m - 18 = -2*x + 8. Let h(k) = -k**2 + 9*k - 7. Let c be h(m). What is the tens digit of r(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -599*m**6 + 386*m**2 - 2724. Find the second derivative of f(n) wrt n.\nAnswer: -71880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 7 + (-23 - -23) - 5) + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (868\/(-434))\/((-1)\/(-3)*-11)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5758*s*t**2 + 4*s*t - s + 2*t**2 - 75456*t wrt s.\nAnswer: 5758*t**2 + 4*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 + x + 1. Suppose 6*o - 2*o = 8. Determine i(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21, 2086, 2, -2 in increasing order.\nAnswer: -2, 2, 5, 21, 2086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1351\/320 + -91\/64. Which is the smallest value? (a) -3 (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2. Let z(p) = 3401*p + 108. Calculate z(q(t)).\nAnswer: -6802*t**2 + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**3 + 4*g**3 + 2*g**3 + (57*g - 6*g - 27*g)*(-4*g - 2*g**2 + 4*g) + 3*g**3 - 3*g**3 - 2*g**3 to y*g + m*g**3 + i + v*g**2 and give m.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.489651 - 33090\nAnswer: -33088.510349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*j - 9. Suppose 6 = -5*d + 36. Let i = d + j. Which is smaller: -2\/5 or i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 2)*(-5*k - 4*k - 5*k)*(-2 + 2 + 1) in the form o + l*k and give l.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - 11 - -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36.5 - 0.5. Let o = 19 - b. Let x = 16.999946 + o. Round x to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4*x + 27945, 139869 = 41*c - 36*c + 4*x. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3808 + 3807.99989465. What is n rounded to 6 dps?\nAnswer: -0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -4452?\nAnswer: 4456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 1.4. Let a = -0.6 + o. What is the closest to 0.1 in 0, -0.2, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30350.\nAnswer: 2, 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and 4174257.\nAnswer: 375683.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3397554647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/15*(-2)\/4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - -48. Calculate the greatest common divisor of 32 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1133*g - 53838 = 441*g + 420*g for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61161*r = 6*a - 61158*r - 51, -2*a + 7 = 3*r for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-245)\/25 + (-60)\/50?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7302942 and 54366346.\nAnswer: 489297114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2206325 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 15*f = 19*f + 12, 29 = -2*o - 5*f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/12)\/((-1)\/228). Let x = 311 + s. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**6\/540 - 2*m**5\/135 - m**4\/27 + 21*m**2. Factor s(h).\nAnswer: -2*h*(h + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -4) + (11 - 3) + -6. Let j be 2017\/p - (-172)\/(-430). Calculate the greatest common divisor of 52 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 7:43 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 36 = 7*p. Suppose p*f - 20 = -f. Let b(x) = 2*x - 2. Calculate b(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000021496 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 0. Suppose 9*i - 4*i - v*f + 26 = 0, 4*f - 24 = 4*i. Let h = -2 - i. Solve h*p = p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -64 + -265 + 249?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31852 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**3\/3 + 328*j**2 - 2876*j\/3 - 3240 = 0.\nAnswer: -2, 5, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10*21\/140*(-3)\/((-18)\/8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + (-4 - -12 - (-5 - (4 - 5))) + -1.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 2, -323, -822, -1519?\nAnswer: -2438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5274.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.16, -3\/17, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2373611.\nAnswer: 2373611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2669\/10 + -34677\/130. Put i, 5, -122, 0.3, 1\/8 in decreasing order.\nAnswer: 5, 0.3, i, 1\/8, -122","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23.62 + -8.64. Let w = b - -31. What is w rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b**3*o**2 + 117*b**3 + b**2 + 3*o with respect to o.\nAnswer: -8*b**3*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -3*x**7\/14 - 7*x**3\/3 - 11*x. Find the second derivative of f(y) wrt y.\nAnswer: -180*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-12\/7)*y*y)\/(y\/(y\/(y*(y\/y**23)\/y))))\/(y**(-13\/3)*y**(-12)) assuming y is positive.\nAnswer: y**(832\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**4\/4 - s**3 - s**2\/2 + 3*s + 34. Factor k(y).\nAnswer: (y - 3)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from {w: 2, t: 1, d: 2, x: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o**(-5)\/o)\/o))**20)**(1\/10))**(-1\/23) assuming o is positive.\nAnswer: o**(-16\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 - 2)\/(13\/2 + -5). Suppose 5*f = -x*s + 772, -2*s = f - 426 + 34. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3071879?\nAnswer: 3071879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.028 + 0.372. What is the fourth biggest value in 0.2, -2\/19, u, -0.1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b = 0. Suppose -2*g + 7 - 1 = b. Calculate the remainder when 3 is divided by (20\/8 - g)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9860 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4392 - 360.2?\nAnswer: -354.7608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1341818909\/1299205 + -3\/259841. Let c = s - -62383\/60. What is the common denominator of c and -83\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 15*h**2 - 3*h - 4. Is s(4) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -12\/1883659?\nAnswer: -12\/1883659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 2*b - 1. Let q be j(-2). Suppose -q*m = -6*m + 42. Let h be m\/((-2 + 1)*-9). Is 3 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-297)\/(-45))\/(-11))\/1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -27. Let s(l) = l**2 + 6*l - 8. What is s(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.3 + 10.83. Let a = -6.585 - -7.585. Which is bigger: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 44*i**2. Let n(y) = -3413 + 3413 + 8*y**2 - 4*y**2. Give n(o(t)).\nAnswer: 7744*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 9 = 4*b - 671, -5*b - 345 = -i. What is the remainder when i is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**5\/15 - z**4\/8 - 31*z**3\/6 - 168*z**2. Calculate the remainder when r(-6) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5291 and 29341?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24.4 + -24. What is the second biggest value in -3, h, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -0*q + q. Let w be (-2)\/7 - q\/21. Suppose f = w*f - 50. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*z = -40, 5 = 3*i + 2*z - 0. Suppose 3*v = 4 + i. Solve -v*l = -l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 7:48 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/60 - (-32)\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 63 = -287. Suppose 5*r + 4*d - g = 0, 6*r = 2*r - d + 47. What is the greatest common factor of r and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -p - 3*r, -3*p + p + 5 = 5*r. Let o = 14 + p. Suppose o*u + 36 = -0*v + 4*v, 45 = 5*v - 3*u. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -63*t**2 + 15*t - 15. Let w(x) = 9*x**2 - 2*x + 2. What is -4*i(a) - 30*w(a)?\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 1. Let d be t(-3). Let h(i) = 2*i**2 + 6*i + 1. Is h(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 20*b**2 - 538*b + 4872. What is y(32)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -9. What is the closest to y in -4, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146070781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*(4 + (sqrt(128) - sqrt(128)*-2 - sqrt(128)))**2*-2*4.\nAnswer: -101376 - 24576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*v - 2 + 2)*(5 + 0 - 2) + 0*v + 2*v - 4*v)*(0*v + 2*v + 0*v + (-8*v + 2*v + 7*v)*(-1 + 5 - 3) + 4*v - 1 + 1).\nAnswer: -119*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -22*o**2 - 3*o - 18. Let c(y) = 7*y**2 + y + 7. Determine -7*c(f) - 2*j(f).\nAnswer: -5*f**2 - f - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.28409 and 2\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 101751.2kg?\nAnswer: 101.7512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 98752.6cm?\nAnswer: 987.526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(175) + (sqrt(175) + -1)**2 + 3)*3 - (1*(-1 + sqrt(175)) + -2 + sqrt(175) + -3)**2.\nAnswer: 60*sqrt(7) + 1412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/9 + 3952906*d\/9 + 3952924.\nAnswer: -2*(d - 1976462)*(d + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2. Let y(h) = -104 + 244 - 140 + 354*h. What is s(y(d))?\nAnswer: 125316*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 - (-146)\/((-1022)\/259 + 4)?\nAnswer: 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49804 by 6.\nAnswer: 24902\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -147.524 times 294\nAnswer: -43372.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**2 + 5*d + 4. Let q be f(6). Let h = 776\/7 + q. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -291, -1127, -2483, -4341, -6683, -9491, -12747?\n\"Answer: 3*u**3 - 278*u**2 - 23*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from spyyps.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -151 + -44?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, -1.82, 69?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.041, 3, 0.2, 1 in descending order.\nAnswer: 3, 1, 0.2, 0.041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(-1 + -2) - -143 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k**6 - 5*k**5 + 12*k + k**6 - 17*k**2 - 28*k + 20*k wrt k?\nAnswer: 600*k**3 - 300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u + 7. Let d(s) = -2*s + 24. Let r = 31 + -22. Let h be d(r). What is c(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.01 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.9, 3, -6?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-35*b + 11*b**2 + 35*b) + 6*b**2 - b**2 - 2*b**2.\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -254 divided by -127.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.94 - 1.94. Let h(j) = -j**2 - 4*j + 7. Let y be h(-6). Sort i, y, 1, -1\/4 in increasing order.\nAnswer: y, -1\/4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -1175*f**2 - 24*f - 4. Let j(n) = -12924*n**2 - 270*n - 45. Give 4*j(m) - 45*o(m).\nAnswer: 1179*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*a + 2. Let y = 15 - a. Suppose 7 = 2*v - y. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 10*n**2 - 9*n - 10. Calculate c(-11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29826893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + (sqrt(3025) - -4*(2*sqrt(3025) + sqrt(3025)))\/(sqrt(500)*-1*-3).\nAnswer: 3 + 143*sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 10 = 3*f, 4*v + 5*f = 9 + 12. Let d be -2 - (-3 + v) - 11. Let w be ((-4)\/(-3))\/((-3)\/d). Solve -4*u - 3*x - 1 = 0, -w = 4*u - 0*u + 4*x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -174.67 - -1.67. Let f = s - -170. Suppose 4 = -0*y - y. Sort f, 3\/5, -2\/9, y in ascending order.\nAnswer: y, f, -2\/9, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.41 less than 538110?\nAnswer: 538107.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -89241, -178108, -266607, -354732, -442477, -529836?\n\"Answer: b**3 + 178*b**2 - 89408*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22543755, 22543770, 22543785, 22543800, 22543815?\nAnswer: 22543830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46471628 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7182 and 30348.\nAnswer: 4036284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -14. Let a(q) = -q**3 - 4*q**2 + q - 2. Calculate a(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 9 = 2*x. Let t(q) be the first derivative of x - 3\/2*q**2 + 0*q**3 + 0*q + 3\/4*q**4. What is the second derivative of t(h) wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -3 + 8*n + 6*n**2 + 76*n**4 - 77*n**4 + 18. Factor u(j).\nAnswer: -4*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4655*c**3 + 6*c - 9.\nAnswer: 27930*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 32*w + 4. Let r be b(32). Suppose -o = 3*o - 4. Let q(t) = 30*t - 2. Let x be q(o). What is the highest common factor of r and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -19*y**5\/2 - 135*y**4\/2 + 1031*y**3\/2 + 5259*y**2\/2 + 2266*y + 210 = 0.\nAnswer: -10, -3, -1, -2\/19, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 20545*p - 395. Let o(d) = 1081*d - 21. Calculate 4*i(m) - 75*o(m).\nAnswer: 1105*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66810 is divided by 675.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - -3. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 19*s**2 + 24*s - 75. Let m be g(20). Let n = 3 + -2.96. Let h = n + -4.04. Which is the second biggest value? (a) h (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by (-7)\/(-21) + 89\/3 + -2?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c9a - 4?\nAnswer: -1c9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, k: 3, q: 12}. Give prob of sequence jq.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7626461, -30505820, -68638085, -122023256, -190661333?\n\"Answer: -7626453*h**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/2*24\/(-9). Let k = -79 + 155. Suppose -2*q + b*q = k. What is the remainder when q is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5\/4, 0.2, -604354, -4, -23.\nAnswer: -604354, -23, -4, 0, 0.2, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, z: 6, o: 2}. Give prob of sequence oo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26\/2543, 8\/3, 1\/7, -0.2 in increasing order.\nAnswer: -0.2, -26\/2543, 1\/7, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-106 - -105) + (-1 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 6736*f = 6734*f + 117, 5*f - 97 = 4*s for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/9 + 1254578*y**2\/3 + 196743026480*y - 23019570173600\/9 = 0. What is y?\nAnswer: -940940, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c + -187?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -2. Let d(o) = o**2 + 5*o - 10. Let b be d(m). Differentiate 2 - 4 + 3 + 2*w**b wrt w.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1981811981.\nAnswer: 61, 32488721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12640 - 23955\/2. Let z = l + -648. Find the common denominator of z and 49\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/20 and 27\/1382.\nAnswer: 13820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 0 + (-3 - 2) + 4 + -9?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -61, 5.\nAnswer: -61, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211222010201 (base 3) to base 7.\nAnswer: -11234260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 285, 318, 353, 384, 405?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.86792 - 0.13208. Which is the nearest to 0.1? (a) y (b) 0.2 (c) -1\/2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -3, 24, -1, -21, -4, -6 in decreasing order.\nAnswer: 24, -1, -3, -4, -6, -14, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74*f**3 + 61 with respect to f.\nAnswer: 222*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 2*b - 1446 = f, -4*b = -3*f + 1454. Is -360 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a century in decades?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39.72 + -0.28. Let w = 40.092 + q. Let l = w + -0.133. Round l to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59167230 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -971.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5430 = -3*q + 107*q - 466*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.64 + -0.16. Let c = 12 + -3. Let g = c + u. What is g rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41671619.\nAnswer: 11, 3788329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.7 + 85.3. Let f = -110 + l. Which is the closest to -2? (a) 4 (b) f (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 1 = -3*y, -2*y - 4 = 32*v - 36*v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20023.05957 - 0.019.\nAnswer: -20023.07857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 6:18 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146 - 107. Calculate the remainder when -3*(-2280)\/36 - (1 + -2) is divided by u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 1\/355767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 7*p**5\/6 + 17*p**4\/24 - 17*p**3\/6 + 1031*p**2 - 3. Let s(f) = 23*f**2 + 6*f - 6. What is 6*d(o) - 17*s(o)?\nAnswer: 29*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 15, -3.5, 0.3, -1\/12, 4 in increasing order.\nAnswer: -3.5, -1\/12, 0, 0.3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 12*a = 70. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*q - 8*q + 8. Put -43, q, -12 in ascending order.\nAnswer: -43, -12, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 15*l - 12. Calculate z(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*i + 50*i - 106 = 0. Suppose 12*v = i - 89. Which is the fourth biggest value? (a) -4 (b) 0 (c) v (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4483767330 to the nearest integer?\nAnswer: 66961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*r - 2*v - 108, -3*r = -5*v - 118. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0488 - 349.9512. Let n = r - -381.1. Let x = n + -1.1. Which is bigger: x or -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 - (-1403)\/115 - (0 - (-2)\/10). Put -2, -35, 5, q, 11 in increasing order.\nAnswer: -35, -2, q, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-900)\/(-550)*154\/105.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 1. Let r(l) = -2*l - 9. Calculate 2*r(s) + 6*w(s).\nAnswer: 2*s - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123967 - 32278 = -7866*j - 8291*j - 26989 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*s + 31 + 3 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.17667ml to litres.\nAnswer: 0.00217667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62371007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*f - 384, 3*m + 2*f = 268 + 19. Let a = 29 + 22. Let w = m - a. Calculate the remainder when w is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4789 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41\/5 + 277\/35. Let c = -1 - -1. Which is smaller: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -3 (b) 0.4 (c) -0.8 (d) -2 (e) -104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15486 and 87.\nAnswer: 15486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25277 is divided by 160?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 3, g: 6, s: 1, y: 8}. What is prob of sequence rg?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -1\/10*t**6 + 0*t**5 + 0 + 0*t**3 + 0*t**2 + 1\/6*t**4 + 3*t. Find the third derivative of q(x) wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -1. Let r = m - -4. What is the second derivative of -4*x**2 + 3*x**r + 0*x**2 - x + 0*x wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3644 + 3840. Suppose 231 = -u + 4*u. Let y = j - u. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1445214, 1445232, 1445246, 1445256?\nAnswer: 1445262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 3 = 67. What is the first derivative of -59 - d*b**2 + 22*b**2 + 16*b - 15*b**2 wrt b?\nAnswer: -2*b + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 + 220 + -164 - (3 - 2)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 1. Suppose 0 = s - 3*o + z, s - o + 3*o = 10. Let n(v) = 4*v + 3*v - s*v. Let b(a) = 2*a**2. Give b(n(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.3 (b) 1 (c) 29 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -151.1 and -0.2.\nAnswer: -151.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12133 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 0.005?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 8*a**2 - 4. Give j(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -76, -152, -244, -352, -476, -616, -772?\n\"Answer: -8*k**2 - 52*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 547260 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 26220375.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*(sqrt(1088) - -6*(sqrt(1088) - (sqrt(1088) + 4*sqrt(1088))))**2.\nAnswer: -13813248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17210 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 - 5*w**2 + w**2 + 6*w**2 - 2*w**2 - 2*w**2 + (-2 + 2 + w)*(-4*w - w + 4*w) + 4*w**2 - 2*w**2 - 4*w**2 - 1938 + 1936 + w**2 + 4*w**2.\nAnswer: -2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 8*m - 0*m + 256. Calculate the lowest common multiple of 2816 and m.\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 b, and 1 c when three letters picked without replacement from {b: 1, v: 1, c: 1, w: 1, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + (-7 - (-20 + 10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = 3*k, -2*k - 2*u + 7 - 3 = 0. Solve -3*a - 3*m - 5 = -5*a, 0 = k*a + 4*m + 40 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**11\/b**(-10) assuming b is positive.\nAnswer: b**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*l - v, 5*v - 27 + 2 = 0. Let a be 8\/(-10)*((-65)\/25)\/(-13). Which is greater: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 4214 + 6577 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 0*r + 19*r**2 - 1\/8*r**4 + 0 - r**3. Give q(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 56) + 19 - (3 + (2 - 13)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**2 - 7*u - 1. Let a(o) = o**3 - 2*o**2 - o - 1. Let d(n) = -a(n) + v(n). Let b(z) = -z - 2 + z**2 + 2. What is 6*b(i) - d(i)?\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 9*l**2 + 30*l + 4. Let y(n) = -3*n**2 - 11*n - 1. What is 2*m(a) + 7*y(a)?\nAnswer: -3*a**2 - 17*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4293*o**2 - 297*o + 297. Let y(f) = 37*f**2 - 2*f + 42. Let i(n) = -36*n**2 + 2*n - 37. Let w(u) = 8*i(u) + 7*y(u). Give 2*t(h) + 297*w(h).\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -196 (b) 0.1 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1561025 + 4?\nAnswer: -1561021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -83, -113, -155, -209, -275, -353?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*w + 17. Suppose 3*g = 7*g - w. Let i(t) = -t + 9. List the prime factors of i(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or -1281999?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*z + 2212 = 34*z. Let n = -253 + 171. Let u = z - n. Is u greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwjwjjjxwjxxjejxjjj. What is prob of sequence wwxj?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*p - 445*p - 105*p - 1.\nAnswer: -528*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -156*n + 5778. What is i(38)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3648, 3544, 3440?\n\"Answer: -104*f + 3752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*v - 1058 + 1307*v**2 + 4913 - v + 2*v + 3490*v**2 wrt v?\nAnswer: 9594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = d + 2*c - 0, -13 = -d + 4*c. Suppose 3*l - 6 = 2*j - 0*j, 2 = l - 4*j. Suppose -3 = -l*p + p. Solve d = 4*i - z, -p*i - 1 = z + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 10) to base 4.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44168352 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 9*m + 2. Let d be p(-10). Let w = 13 + d. What is the second derivative of 5*r**3 - w*r**3 + 2*r**3 + 5*r + 0*r wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -5046b?\nAnswer: 50474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 2153218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 - -256?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 3*c - 26, 5*i + 39*c + 16 = 37*c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-30))\/(80\/1350*3). What is the biggest value in 0.5, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfffnnfnfnnfnnfn. Give prob of picking 2 f and 2 n.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 24*n - 22. What are the prime factors of j(6)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34126, -136498, -307118, -545986, -853102, -1228466?\nAnswer: -1672078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76507 - 76507 - 580*n + (-4 + 5 - 3)*(4*n + 0*n - 6*n) - n - n + 4*n.\nAnswer: -574*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 887.2 - 783.34. Let d = j - 103. Let i = 1 - d. Does i = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9 + -3. Let j be (-372)\/1005 + 2\/5. Are j and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3979 - 3.3979. Which is the second smallest value? (a) 1196 (b) q (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5882 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/5 - 6\/15. Sort w, -2, -4.\nAnswer: -4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4056\/130)\/13*(-50)\/(-8)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -700000 to the nearest 10000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*x - 81, r = -2*r - x + 173. Suppose -y - 5*f = 1 - 12, -f = -y - 13. Let p be (r\/24)\/((-1)\/y). What is the greatest common factor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s + 10*s - 25*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 1. Let i(v) = -4*v - 3. Let m(z) = -i(z) + 2*t(z). Let b be m(8). Suppose u + q - b = 10, -4*u + 124 = -q. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, -1.046, -7, 2, 1\/2, -2\/7, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*o + 4*x, -4*x + 42 + 14 = 3*o. Let l(q) = -2*q + 3. Let c be l(3). What is the lowest common multiple of o and 2 - 6\/9*c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47995281?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4094442 to the power of 1\/2, to the nearest integer?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4695 - 4677)*3\/(5427\/(-6)).\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125*-10*15\/(-6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 88, -22, -312, -872, -1792, -3162, -5072, -7612?\n\"Answer: -15*q**3 - 5*q + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - 4*l + 5. Let w(s) = -4*s**2 - 8*s + 11. Let d(v) = -9*p(v) + 4*w(v). Let o be d(-3). Suppose -z + o = -0*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18396017749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14000115 (base 8) to base 12\nAnswer: 10785a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 601832, 601831, 601830, 601829, 601828?\n\"Answer: -d + 601833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117561 and 894.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 36*b**2 + b. Let k be g(-1). Let a(v) = v**3 + 2*v**2 - v. Let m be a(1). Suppose m*c + 3*q + 4 = -q, 5*c - 5*q = k. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02348552 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 + (72 - 0) - (13 + 1 + -3).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 + 5386*g**2\/3 + 43024*g\/3.\nAnswer: g*(g + 8)*(g + 5378)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2448)*1 - (2 + sqrt(2448)*-1) - (sqrt(17) + -2 + 4 - ((sqrt(85)*3)\/sqrt(5) - sqrt(17))))**2.\nAnswer: -392*sqrt(17) + 40833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/227 and 61\/6.\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3341 and 14131?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*z + 23, s = -z + 10. Solve h = -0*f + s*f + 26, -4*h + 4 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -9*z**3 - z**2 + z. Let q be s(-6). Suppose -5*y = -x - 75 - q, 0 = -5*y + 4*x + 403. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97579.0549 - 97583. Let d = m + -0.0549. Put -5, 4, d in descending order.\nAnswer: 4, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 3) + (-19842)\/(-5376). Let x = t - -3\/128. Is -1 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 1. Calculate s(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 109*i + 56*i + 52*i as q + y*i and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -100. Suppose 0 = -114*d + 108*d + z. Calculate the lowest common multiple of d and 212.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2. Let u(l) be the first derivative of -4*l**3\/3 + 11. Calculate m(u(p)).\nAnswer: 48*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/13)*u**(-1)*((u*u**(-1))\/u)**(-5\/3))**1 assuming u is positive.\nAnswer: u**(71\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.057 - 0.057. Put -0.5, r, -0.1, -2\/5 in decreasing order.\nAnswer: r, -0.1, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 6*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*v + 24, -5 = c - 4*v - 11. Solve -45 = 15*z - c*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20, -34, -48?\n\"Answer: -14*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l - 15. Determine v(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146024*0.1.\nAnswer: -14602.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -948 - -969. Solve -6*o + l = 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*v + 4*w - 4, 4*w = -v + 3. Let y be 4\/(-7 + v)*-4. Put y, 1, 3 in decreasing order.\nAnswer: y, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 142 + 4 = 0. Suppose u = -7*p + 13*p. Factor -76*n - 1 + 27*n**2 - p + n**2 + 0.\nAnswer: 4*(n - 3)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 3:25 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.9*308.9.\nAnswer: -6764.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 9 = t, -t + 3*t - 6 = 0. List the prime factors of (-8 + 7)\/(l\/(-108)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + 10e8f?\nAnswer: 10e98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -157645, -157644, -157643, -157642, -157641, -157640?\n\"Answer: h - 157646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/8193 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 51*s**2 + 71*s - 791. What is d(-49)?\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2830801, -5661606, -8492411?\n\"Answer: -2830805*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddd. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 3, 2\/9, 4\/5.\nAnswer: -3\/4, 2\/9, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 16*b**2 - 43*b - 8. What is m(-7)?\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 18224 (b) 16 (c) 1.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 - 15*k**2 - 47*k - 284. Calculate n(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30096 by -6.\nAnswer: 5016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*c**2 - 3*c**3 - c**3 - 42*c**2 + 92*c**2 + c**3 - 37.\nAnswer: -3*c**3 + 5*c**2 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 2*n**2 + n - 80. Give l(0).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*u - u**2 + 8*u)*(13*u**2 + 5*u**2 - 360*u**2) as z*u**3 + r*u**4 + v + b*u**2 + w*u and give r.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 181*f**2 - 3622*f + 55. Calculate m(20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -4, 4, 1\/9, 0.3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 12:36 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 16, 5.\nAnswer: -4, 0, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, o: 1, e: 1, j: 1, g: 1, x: 2}. Give prob of sequence jxoe.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 30. Let n = z + 12.5. What is n rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 - 6*i. Let h(w) = -w**2 - w. What is 6*h(l) - p(l)?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -117481 at most -117495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 485106048 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4038 - 131. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -15. Let s be (-38)\/8 - 2\/8. Let c = o + s. Calculate the remainder when 1 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**3 - 5*t**2 - 4*t + 7. Let v(n) = 2*n**3 - 3*n**2 - 2*n + 4. Calculate 3*s(d) - 5*v(d).\nAnswer: 5*d**3 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24234 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26556432*f**2*h - 4*f*h**2 + 495*h**2 - 76*h + 158 wrt f?\nAnswer: 53112864*f*h - 4*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(-3*g + 3*g - 3*g) - 118*g + 194*g + 247*g.\nAnswer: 329*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h. Let o(t) = 562596*t**2. Give o(k(s)).\nAnswer: 5063364*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 874 and 598?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.8 + 2.2. Let b(u) = -u. Let y be b(-3). Suppose y*a + 17 = -5*q, -3*q - 13 - 2 = 3*a. What is the nearest to 0.2 in 2, i, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**5\/60 + r**4\/6 - r**3\/2 - r**2\/2 - 1. Let y(g) be the second derivative of x(g). Let s = -117592 + 117597. What is y(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41564 and 6556721.\nAnswer: 26226884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*j - 3*z - 99, -j + 23 = z. Suppose -2*h + j = -32. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.7 - 1.7. Let z = n + -4. Let i = -6 + 19. Sort z, i, -1.\nAnswer: z, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*p - 5040 - 2502 = 4234 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - 8*q**2 + 4*q + 1. Is m(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:11 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 63*o**2 - 2*o - 108. Let f be r(-63). Solve -51*k + f = 18 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 33. Suppose 28*a - 73*a = -25515. What is the highest common factor of a and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/15)\/((-15)\/180)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = -v + 2*z, 26 = 2*v + 4*z. Let o = 25 - v. Calculate the remainder when o is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15070 >= -14813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide -7 - (-170 + (24\/(-6) - -8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w - 11. Let s be h(8). Calculate the highest common divisor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6) + (-6)\/(-18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 2 + 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568086?\nAnswer: 2, 3, 73, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208290467 and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - w**2 + w + (29 - 2 + w - 16)*(-65*w - 17*w + 20*w) to the form a + z*w**2 + m*w and give z.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1751, 2261, 3157, 4439?\nAnswer: 6107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 19 (b) -5 (c) 1\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -36. Suppose -q + 5*i = q - 58, 0 = -4*q - 4*i + 60. Suppose -q*d - 11 = -239. What is the greatest common factor of o and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 - -224828?\nAnswer: 224850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 3 + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699194124.\nAnswer: 2, 3, 19422059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8796 to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/10)*i**(3\/4))\/(i**(-8)\/(i\/(i\/i**(-1\/15)))) assuming i is positive.\nAnswer: i**(103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110200000000010011 + 0?\nAnswer: -110200000000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38066 is divided by 37229.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153565, 153534, 153483, 153412, 153321, 153210, 153079?\nAnswer: 152928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from {m: 4, l: 2, h: 5}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 2*k. Calculate the greatest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37144422 divided by 156069?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2\/75 (c) -54527\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -164? (a) -2468 (b) -5 (c) -4 (d) -0.5 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 482.832 rounded to the nearest 10?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 7*x + 15. Determine n(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.6 (b) -5 (c) 12844\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - 222?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -46309\/417 < -112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*o + 17 - 46 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2. Let d(k) = -8927*k. Calculate d(q(t)).\nAnswer: -17854*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101829 is divided by 1953.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164 is divided by 118.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2\/7*z**2 + 52\/7*z + 0 = 0.\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 711328339 to the nearest integer?\nAnswer: 26671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110.9 - 98.04. Let i = z - -0.14. Let f = i + -12.6. Are 0.1 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-1575)\/(-150) - 38\/(-4)) + 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 s, and 1 c when three letters picked without replacement from osoososocococ?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*p**2*v**2 + 4*p**2 - 17*p*v**2 + 108*p wrt v.\nAnswer: 14*p**2*v - 34*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18505*y**2 + 23161.\nAnswer: -37010*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1 + (3*(-1 + sqrt(288)) - 5*sqrt(288)*-2))*2)**2.\nAnswer: -4368*sqrt(2) + 194737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119579.\nAnswer: 197, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 722750131, 722750133, 722750135, 722750137, 722750139?\n\"Answer: 2*u + 722750129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-234)\/(-39)*(-2)\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(528)*3 - sqrt(528)) + sqrt(528))\/sqrt(11) + sqrt(48) - -3*sqrt(6912)).\nAnswer: 800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*a + 99 - 99 + (4 + 1 - 6)*(-2*a - 3*a + 4*a) + 0*a + 5*a - 3*a - a - 3*a - a.\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*h - 3)*(23 + 216 + 22).\nAnswer: 522*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29378 and 7672422?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*s - 4 + 2, 5*s = 5*d - 20. Suppose 2*f = -d*z - 10, 13 + 12 = 4*z - 5*f. Sort -3, -1, z, 8 in descending order.\nAnswer: 8, z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -1\/60*r**5 + 0*r**4 + 0*r**3 + 0*r**6 - 1\/168*r**8 + 0 + 4*r**2 + 0*r + 0*r**7. What is the third derivative of w(g) wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - u - 1)*(-1 + 4 - 2) - 4*u - 2*u + 3*u + 0 + 0 - 2*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2841374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*w = l - 15, 0 = 5*l - 3*w + 15. What is the closest to l in 3, 3\/8, 5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-832)\/960 + 51\/(-45) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180613*k**2 + 691445*k**2 + 108766*k**2 - k + 1 + 378604*k**2.\nAnswer: 998202*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**7\/210 + p**6\/360 + p**3\/2 - 5*p**2. Let j(d) be the first derivative of f(d). Let j(u) = 0. Calculate u.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 - 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.1 - 27.2. Let p = -42 - -464\/11. Which is the second smallest value? (a) q (b) 1\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 291 * -34.\nAnswer: -9894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0897 less than -2\/381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 60 = 65*z + 52 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 69266*h - 265452 wrt h.\nAnswer: 69266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - 1. Let b = 47 + s. Suppose b = 5*r + 10, -204 - 717 = -w + 4*r. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**5 + 0*d**5 - d**5 + (1 - 1 + d**2)*(3*d**3 - d**3 - 7*d**3) - d**5 + 7*d**4 - 7*d**4 - 2*d**3 + 2*d**3 + 2*d**5.\nAnswer: -d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123663559.\nAnswer: 17, 7274327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 3*n**2 - 19*n + 92. Give w(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5 = w + 89, 4*w + 5*m + 334 = 0. Calculate the common denominator of -85\/6 and w\/18*(4 + (-105)\/28).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/(6\/(-444)) - (-9)\/(-18)*18\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 + 3. Let g = 119 - 116. Let i(r) = 5*r + 4*r + g*r**2 - 9*r. Determine i(m(k)).\nAnswer: 75*k**4 + 90*k**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 599927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 388437449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.49 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -33 - 19 - 4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2 = 3. Suppose -3*n + 5*l = -14, -l = -2*l - u. Solve -3*q = -n*z - 9, 2*z + 5*q - 15 = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -83\/58, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + (-2 - (-9 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/2))\/v)\/(v\/((v\/v**(-1\/5))\/v))*(v\/(v*v\/v**(1\/7)*v*v))\/v**(-2\/21) assuming v is positive.\nAnswer: v**(-643\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-38))\/((-2)\/4)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 40, 74, 120?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -0*y + y + 88, -11 = 20*w - 18*w + 18*y + 5 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 37 = 7. Suppose d*s + 3 + 4 = 2*r, 2*s - 1 = -3*r. Let f(c) = 2*c. Let g(k) = 3 - 3 + 1. What is s*f(n) + 2*g(n)?\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 8*w - 11. Suppose 3*a - 39 = 3*i, -3*a + 0*a = -i - 47. Suppose -a*s = -21*s + 32. Calculate n(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 19. Let c(x) = -2*x + x + x + 2*x + w. Calculate c(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333835?\nAnswer: 5, 179, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 17. What are the prime factors of (-2 + 1)*-2 - h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 15*w**4 + 293*w - 192. Differentiate t(d) wrt d.\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*s**2 + 92*s**4 + 41*s**2 + 2 + 8 - 5 + 2*s to i*s**2 + o + v*s**4 + p*s + j*s**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2\/47, -50, 1\/7, 2\/15.\nAnswer: -50, -2\/47, 2\/15, 1\/7, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45910844?\nAnswer: 2, 7, 234239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -161. Suppose -12*j - v = -13*j. What is the greatest common factor of j and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 10:38 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.95 times 2.4?\nAnswer: -4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2.6 times -211\nAnswer: -548.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axaaxxaasxsaxasa. What is prob of sequence ss?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125129 by 157.\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5088 - 18e?\nAnswer: -5227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 10. Suppose 4*c = -o, 0*c = -2*b + 2*c + 14. Suppose -4*h - 5*q = 9 + 21, 16 = -4*h + 2*q. Put b, h, 3 in increasing order.\nAnswer: h, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**13*n\/(n\/n**(-7)) assuming n is positive.\nAnswer: n**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 5*i**2 + 0*i - i.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*(-2 + sqrt(242)) + -3 - (-3*(sqrt(242) + -2) - (-5*(sqrt(242) - (sqrt(242) + -2)) - sqrt(242))))*5)**2.\nAnswer: -455400*sqrt(2) + 990225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*(-16)\/96*10\/585*-2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -31. Let k(u) = -u**3 - 6*u**2 - 7*u - 9. Calculate k(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(99) + (sqrt(192) - -2*sqrt(192))**2.\nAnswer: sqrt(3)\/3 + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/16, 1, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 4*t - 3*r, -3*r + 3 + 0 = 0. Calculate the remainder when 53 is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyl when three letters picked without replacement from {y: 1, u: 3, z: 3, l: 3, p: 2, a: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 6*h + 6*h)*((-2 + 7 - 3)*(2 - 1 + 0) + 217 + 28 - 21)*(-1 - 1 - 1).\nAnswer: 678*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 115.3 + -592.8. Let g = -478 - w. Sort g, -1, 1\/10 in descending order.\nAnswer: 1\/10, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -747, -1499, -2255, -3015?\n\"Answer: -2*j**2 - 746*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202102 (base 3) to base 12.\nAnswer: 39b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41062 rounded to 2 dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 + 0)*(4*f - 3*f + f) + f - 4*f + 2*f)*(-2*f - 2*f + 2*f + (-f - 4*f + 4*f)*(-7 + 2 + 2)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6.766 and 379731876.\nAnswer: 379731869.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -10, -22, -48, -94?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 74 = 5*o - 29, 0*o - 120 = 4*p - 4*o for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961129 is divided by 473?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -0*g - 208. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-232\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 780.615 - 780. Let c = z + -0.615. What is the closest to 1 in 38, 2\/5, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = -o - 99. Solve -o = 3*j + 3*m, -4*j + 4*m - 5 + 1 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 494, -416, -2896, -7732, -15710, -27616?\nAnswer: -44236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-13 + -17)*4\/(-110)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014806585 to 7 decimal places.\nAnswer: 0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -3963040.2?\nAnswer: -3963040.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32746, 130993, 294738, 523981, 818722, 1178961?\nAnswer: 1604698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -374 or -19764\/53?\nAnswer: -19764\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 6*q + 19. Let f be v(8). Suppose 5*c = 3*o - 3659, -f*o + 0*c + 4*c + 3664 = 0. Suppose -3*y + 1260 = y + 4*h, -4*y + o = -4*h. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 9*c**2 + 14)*(-114 + 165 + 251 + 26) in the form w + z*c + m*c**2 and give m.\nAnswer: -2952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 650 and 2450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -912, -4, 102.\nAnswer: -912, -8, -4, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 + 57. Let b(n) be the first derivative of 3*n + 0*n**3 + 0*n**4 + 2\/5*n**5 - 2 + 0*n**m. Differentiate b(w) with respect to w.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.75\nAnswer: -3.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xuuw when four letters picked without replacement from {f: 4, x: 3, u: 4, w: 7}.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78487574.\nAnswer: 2, 11, 137, 26041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 3*v + 1. Let q be a(2). Let s(g) = 43*g - 2. Is s(q) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 160, 72*o = 2195*c - 2197*c + 2312 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = -5*m - 4*p, m - 6*m + 170 = 5*p. Suppose -m*g = -38*g + 418. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2162132746 to the power of 1\/4, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 995 times -0.3062\nAnswer: -304.669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269972.637 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133 + -135. What is the biggest value in 0.4, n, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -3851\nAnswer: -23106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87685 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f + 2*a - 9, -15 = -3*f - 2*a. Suppose -z + 8 = f. Suppose 8 = z*m - 2, -5*n = 2*m - 159. List the prime factors of n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 + 3*h - 3*h + h**4 - 2*h**2 + 2*h**2 + (-4*h + 4*h - 2*h**3)*(0*h + h - 3*h).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.108 and -16.\nAnswer: -1.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/75 and 5\/24.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -2, -4, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 45*10\/90 + 22\/(-5)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 19 - 7. Let d(p) = -2132019*p - 5. Let v be d(m). Suppose -t + 2507891 = -v. Round t to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -763944*s**4 + 27976*s**2 + 7*s.\nAnswer: -18334656*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a + 5. Let b be l(0). Suppose 126 = -2*g - b*g. Let i(t) = t**3 + 19*t**2 + 18*t + 6. What is the least common multiple of 24 and i(g)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(33)*-2 + sqrt(33))*-5)\/((sqrt(44)\/sqrt(2) + sqrt(22))\/sqrt(2))*6)**2.\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -19*k**3 - 17*k**2 + 205*k + 274. Give c(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2069259, 2069265, 2069283, 2069319, 2069379, 2069469, 2069595, 2069763?\nAnswer: 2069979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**6\/120 - 188*i**5\/5 - 70688*i**4 - 212629504*i**3\/3 + 211*i**2 - 1. Let s(k) = 0. What is k?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from xxxsxxsxxxxxxxxxxx.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 55 = 20. Factor 120*d**2 - 255*d + m*d**3 - 231 + 617 - 256.\nAnswer: 5*(d - 1)**2*(d + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.189 and -4.\nAnswer: -4.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -17?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*y = 4*v - 83*y - 11, -3*v = 5*y + 18 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/524 and -65\/8.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39123 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3065 is divided by 129.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1248060808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 199 + 103*t + 196 - 396 to d + k*t and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 3, -43180, 52, 1.\nAnswer: -43180, -1, 1, 3, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9302 - -9542. Calculate the greatest common factor of 45 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 29*h**2 + 29*h - 16. Let p be j(-30). What is the highest common divisor of p and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*u**3 - 7*u**3 + 258 - 255 - 38*u**2.\nAnswer: 41*u**3 - 38*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*q - 2340 = -254*q. What is the smallest common multiple of q and 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + 1321. Suppose 2581 = p - x. Round p to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10*n - 29. Let c be i(-3). What is the tens digit of ((-394)\/4)\/(c - (-25)\/(-20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 6:57 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + (33 - 10 - -12).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13\/(260\/190))\/(2\/(-116)). What is p rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2. Let m = 1 - 12. Let s(q) = q - 11. Calculate m*y(p) + 2*s(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 7*j**2 + 8*j + 1. Let x be h(8). Put 3, -2, x in increasing order.\nAnswer: -2, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.36 - -0.54. Let a = -11.9000196 + c. What is a rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*3\/7)\/((-2)\/(-28)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*y - 133 - 47 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/10 + 7\/(-35)*-2. Let l(d) = 14*d - 53. Let m be l(j). Solve -5*s - p - 28 = -m, 2*s = p - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.019022 - 3828.287.\nAnswer: -3828.306022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**2 - 11*w + 1019. Let c(s) = -2*s**2 - 4*s + 340. Calculate 11*c(h) - 4*o(h).\nAnswer: -2*h**2 - 336","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 735 and 3658585?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 179415, 358831, 538247, 717663?\n\"Answer: 179416*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56135, 108059, 159983, 211907, 263831, 315755?\nAnswer: 367679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (0 - 64 - -34).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -21*f**2 - 10. Let x(i) = -4*i**2 - 2. Suppose c - 4*c - q + 32 = 0, c + 5*q = 6. Give c*x(s) - 2*j(s).\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427369 is divided by 142449?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 579. Let x(b) = 251*b**2 + b. Give x(o(m)).\nAnswer: 251*m**2 - 290657*m + 84144912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2\/9, -102?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 108.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30723216000 + -1.\nAnswer: -30723216001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-12 - 5 - 6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3)**(-2\/7)*u**(-4)\/u**(2\/7) assuming u is positive.\nAnswer: u**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1681409 and 190092?\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2102932.23 + -2102886.2300028. Let l = k + -46. What is l rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40488 divided by 10122.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**4\/12 - 7*t**3\/6 - 9*t**2\/2 + 27*t. Let v = 23 + -13. List the prime factors of o(v).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 165, 9, 4.\nAnswer: 4, 9, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/2578686 and -79\/43461.\nAnswer: 7736058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 1. Suppose 0*w + 4*w = -4. Let b(l) = 2*l**3 - 7*l**2 + 6. Let d be (20\/16)\/(3\/(-12)). What is d*f(n) + w*b(n)?\nAnswer: -2*n**3 + 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 265066217?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 12831330?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from dwgwwwsdggjww.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -3650 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 729, 733, 739, 747?\n\"Answer: c**2 + c + 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*42\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.14 (b) 0.1 (c) 0.05 (d) 2\/199 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 - 2*g. Let d(r) = -r**2 + r + 1. Let c(y) = 3*d(y) - h(y). Let m be (-5)\/(20\/14*7 - 11). What is c(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + k)*(-16 + 2*k + 16 + (-3 + 3 - k)*(1 + 1 + 3) + 0*k - 3*k + 2*k) to the form y*k**2 + t + p*k and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -66070, 62, -1\/31 in decreasing order.\nAnswer: 62, -1\/31, -66070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/19 or 7?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3232 = 2*o, 47*o - 43*o - 6478 = l. What is the remainder when o is divided by 1619?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirty-four fifths of a second?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/7 + 952*i - 26688\/7.\nAnswer: 2*(i - 4)*(i + 3336)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137423224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 115947762 rounded to the nearest one hundred thousand?\nAnswer: 115900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 15\/79 (b) 2\/7 (c) 0.4 (d) 2\/9 (e) 2 (f) -36 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8810636?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 r, and 1 f when three letters picked without replacement from {f: 9, i: 3, y: 4, r: 1, j: 1}.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 20. Let r be o*(-3 - -4)*0. Solve r*g + 8 = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 2*l**3 + 6*l**3)*(-l + 3*l + 2*l + (0*l + 2*l + 0*l)*(3 + 0 - 4) + 3*l - 3*l + 4*l).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r - 2. Let o(c) = 2*c - 1. Let j(b) = -2*o(b) + q(b). Let d(w) = 7*w - 5*w + 2*w. Calculate j(d(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 6:28 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -44953198.\nAnswer: 3\/44953198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 772\/5 + 10\/(-25). Suppose 31 = 2*l - 13. What is the greatest common factor of q and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2900*f**2 - 4795*f - 490.\nAnswer: 5*(4*f - 7)*(145*f + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 482152481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 61*w + 126 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*b**3 - 334*b**3 - 3 + 105*b**3 + 3 + 105*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15732\/513)\/(6 - (-120)\/(-18)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5941.871 millimeters to centimeters.\nAnswer: 594.1871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c - 35*c - 18*c)*(3*c**2 + 4*c**2 - 5*c**2).\nAnswer: -122*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528509 is divided by 160?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 - (-9 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 852*k**2 + 35*k + 95. List the prime factors of r(-6).\nAnswer: 30557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 0*z - 4\/3*z**3 + 1\/60*z**5 + z**2 + 7\/24*z**4 + 0. Is r(-10) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from {k: 5, z: 3, j: 4}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11 - 36386.\nAnswer: -36385.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*r**3 + 14*r**3 + 4*r**4)*((8*r + 7*r - 2*r)*(0 + 1 - 2) - 2*r - 3 + 3).\nAnswer: -60*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u - 116. Let o(y) = -22*y - 347. Let q(t) = -11*h(t) + 4*o(t). What is the remainder when (4\/4)\/(1\/34) is divided by q(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5316, -10607, -15858, -21063, -26216?\nAnswer: -31311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/442039066 and -44\/153?\nAnswer: 3978351594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v - 5*v + 115 = -19*v. Suppose -3*x - 5*n - 16 = 0, -3*x = 2*n - 5*n. Let i = 5 + x. Solve -2 = i*o - v*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -196, -802, -1838, -3322, -5272, -7706?\nAnswer: -10642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 7:16 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 6*p**2 + 8*p - 4. Let x be j(7). Let u be 15\/3 + 6\/x. Let c be (-2)\/u + (3 - 3). What is the nearest to c in 5, -3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (-1212)\/(-10))*5\/(-6)*3. What is the highest common factor of 1364 and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -7*g**2 - 11\/6*g**3 - 5\/12*g**4 + 0*g - 1\/60*g**5 - 2. What is i(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -533 (b) -59 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74630*c**3*o**2 - 2464*c**2 - c*o**2 - 2*o**2 wrt c.\nAnswer: 447780*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1700 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a + 12. Let l be c(2). Solve 3*d + r - 8 = -22, -l*r = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16801\/736 + -474\/23. Find the common denominator of j and -21\/20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 53*q**2 + 76*q - 1187. Determine j(54).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(3*i + 4*i - 2*i) - 3*i + 2*i - 2*i - 4*i + 4*i + 4*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3537\/2 or -1770?\nAnswer: -1770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*h + 534*h + 429*h + 76*h + 1 - 123*h.\nAnswer: 823*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*f + 5. Let y(m) = 2*m**2 + 28*m + 30. Let o be y(-13). Let i = o + f. Calculate the highest common factor of 27 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/642 and 10\/4684139.\nAnswer: 28104834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 778 = -4*f, 3*f - 2*d - 239 = 342. Let t = 254 - f. Calculate the remainder when 184 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 18*d - 17. Let z be k(19). Which is bigger: z or 6\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -804720 divided by 268240\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-15 + 12 - -4) + 1639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 55 (b) 2\/9 (c) 1\/246 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2. Let b(d) be the second derivative of -d**3\/6 + 5*d. Calculate l(b(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g - 156. Let n be o(42). Let m(f) = -230*f**2 + 456*f**2 - 227*f**2 - n*f - 6. What is m(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 9*z**2 + 13*z - 1. Let l be a(-7). What is the third derivative of -5549 - 167*q**l + 5549 - 65*q**2 wrt q?\nAnswer: -20040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*21\/(-98)*-7*11\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 - 5*c**2 - c**2)*(-1 + 2*c + 1) - c**3 - c**3 + 0*c**3 - 253690*c + 253703*c - 28*c**3 + 81*c**3.\nAnswer: 49*c**3 + 13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -1193\nAnswer: 1192.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-21)*((-567)\/(-6))\/(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*c**3 + 3*c**2*o*x**2 + 52*c*o*x - 2*o*x - 10*x**2 - 2*x - 26 wrt c?\nAnswer: 15*c**2 + 6*c*o*x**2 + 52*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*s + 2*s = 63, -4*h + s - 54 = 0. Let c(w) be the third derivative of -w**5\/60 - 2*w**4\/3 - 8*w**3\/3 + 4*w**2. Is c(h) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/355, 1\/2, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1019, 2036, 3053, 4070?\nAnswer: 5087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -7, -8\/7 in increasing order.\nAnswer: -7, -8\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 12:04 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-6 - (-6 + 4 + -6)) - 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10342 - -12333?\nAnswer: 23115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/(-819))\/(777\/49 - 15)*(-2)\/(-6)\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -37 + (-1 - 8) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 6*c + 3*n, n - 10 - 4 = -5*c. Solve -5*r = -z - 9, 4*r + c = 4*z + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1305 divided by 609\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 2)*(2 - 5 + 1)*(1 - 1 - 5)*(-4*t + 0*t + 0*t) to k*t + z and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -11. Suppose q - o = -f - 0*f, -f = -5*q + 90. Calculate the remainder when q is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.04 and -13763.33.\nAnswer: -13763.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckc when three letters picked without replacement from {k: 4, c: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4)*l*l\/l**7*(l**(-4))**43)**(18\/5))**(-9) assuming l is positive.\nAnswer: l**(29322\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 210 + -139. Let g = 143 - h. Suppose 2*d = -d + g. Is d less than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398308675?\nAnswer: 5, 97, 164251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d**3 - 4*d + 25. Let w(h) = -13*h**3 - 13*h + 74. What is 7*m(c) - 2*w(c)?\nAnswer: -9*c**3 - 2*c + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 - 1175985*x**2 - 2351961*x - 1175979.\nAnswer: -3*(x + 1)**2*(x + 391993)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -799*o - 54. Let v(b) = 399*b + 32. What is 5*v(u) + 3*w(u)?\nAnswer: -402*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.175 times -5.38?\nAnswer: 0.9415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10993705 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 142445059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.9 - 7.9. Which is the nearest to 0? (a) -2 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2*u + 6*u)*(-8 + 1 + 4) + (0*u + 2*u + u)*(2 + 0 - 1) - 4*u + 11*u - 21*u - u - 2*u + 2*u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + (1 - 2 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 + 4*b**2 + 3*b + 1. Let s be m(-2). Suppose -5*l + 2*l = -36. Let w = l + s. Calculate the remainder when 19 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 56*y**2 - 81*y - 1432. Give m(-57).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*n**3 + 3\/4*n**2 + 0*n + 0 + 3\/4*n**5 + 9\/4*n**4.\nAnswer: 3*n**2*(n + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 - 10*l - 25. Let x be r(-6). Suppose -5*k + k + 140 = 4*a, -x = -4*a - 3*k. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -15. Suppose 26 = 3*v - 3*p + k*p, -2*v = -3*p - 8. Suppose 3*q - 12 = 0, v*q - 5*q = 5*t - 85. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 1 - (11 + -11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4584 divide 57282313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 985796 and 2996.\nAnswer: 105480172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3 - 3*a**3 - 4*a**2 + 2*a**3 - 1. Let q be c(-4). Suppose 3 = h - q. 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 6\/(-8)*10\/15*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26878899*j - 31799914 wrt j?\nAnswer: 26878899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 8. Let p be z(6). Suppose 118 + 2 = p*k. Let t be ((-2)\/5)\/(1\/(-60)). What is the greatest common divisor of t and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 3 - 3 + (-1 + 5 + 0)*(-2*w + 7*w + 7*w) + 3 - 3 - 2*w - 2.\nAnswer: 44*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 405985440?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1407762731 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6353.618ng?\nAnswer: 0.000000000006353618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, -70, 4\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 1. Let m(l) = 12*l + 3. Give -m(c) + 3*z(c).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -680800 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -4 (c) 5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 918 by -337.\nAnswer: -918\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/(a*a**(1\/12)\/a))*a*a*a\/(a*a**(1\/4))*((a*((a*a\/a**(1\/6))\/a)\/a)\/a)\/a*a**(2\/15)*a)**(4\/11) assuming a is positive.\nAnswer: a**(16\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 646777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5928 or 5933?\nAnswer: 5928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.474017 rounded to 3 decimal places?\nAnswer: -0.474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(-3 + 3 - 2*d - 6).\nAnswer: -2*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from {u: 1, d: 2, y: 4, n: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 890\/15 + (5\/3 - 1). Suppose -72 + s = -4*p. Solve d - 29 = -2*i - p*i, 0 = i + d - 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 + -44?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0 - 4 = -f, 5 = -4*x - f. Let u be 1\/((-12)\/15 - x). Suppose 5*i - 4*i - u = 0. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3 + 2. Suppose h + 24 = 5*d. Solve 5*n = f + 3*f + 23, -7 = -d*n - 4*f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201742 and 10089.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsbhsbggbgbb. What is prob of picking 2 g and 1 h?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-1*3 + sqrt(117))\/(sqrt(33)\/sqrt(176)))\/(((sqrt(363)*2 + sqrt(363))\/sqrt(11))\/(sqrt(11) - (sqrt(77)*2)\/sqrt(7))).\nAnswer: 8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 267 in 14.9, -1\/9, -3?\nAnswer: 14.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/6)*(n\/n**0*n)\/n*n**(-3\/5)\/(n\/n**(-5\/4)) assuming n is positive.\nAnswer: n**(-101\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 74 = 3*m. Let y be (1 - m)*5\/10. What is the tens digit of 3*((-3)\/(-1) - y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2327*v + 2117549. Give q(910).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 12) to base 14.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 9124629?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321*w**3 + 2*w + 220*w**3 - 8*w.\nAnswer: 541*w**3 - 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-3 + 16) - (-6 - -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2884 - 0)*(39 - 43)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 32*n + 128. Let m be l(-4). Are m and -23\/398 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/8 (b) 0.3 (c) 2570 (d) -0.2 (e) -3 (f) -0.3 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89170 and 25160.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3100507 is divided by 795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8561854 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9960 and 329880.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -12\/5*g**6 - 19\/6*g**4 + 0*g**7 + 0 + 0*g + 9\/28*g**8 - 62\/15*g**5 - 4\/3*g**3 - 8*g**2. Find b such that k(b) = 0.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 13. Let h be x(14). Let t = -110423.6 + 110423. Let o = -0.4 + 0.3. What is the closest to o in h, t, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*g + 2*l, g - 4*l = -50 + 37. Solve 2*r - 2*j + 1 = -3, 0 = -5*r + 4*j - g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -749*w + 4701 + 542 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12*0.413\nAnswer: 4.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19791883 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 12 = 0, 3*c + 0*c + 14 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-192))\/(((-1)\/15)\/(-1)*70\/336)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56140 and 22055?\nAnswer: 617540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + w + 2. Let n be v(-1). Suppose -4*l - 11 - 9 = n. Let f = l + 3. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5, -3\/10, 0.2, 3\/7?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6024 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/309 and 52\/3099.\nAnswer: 319197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 7*w**2 + 12*w + 12. Let c be q(-9). Suppose 6*s - c = -54. Suppose 4*x - 9*x + 4*i + 663 = 0, -s*i = -5*x + 669. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9454 - 9563. Which is the fourth biggest value? (a) -0.3 (b) k (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 6*o**2 - 3*o + 4. Suppose 8*t + 32 = 4*c, 6*t + 4*c = t - 46. What is v(t)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 247 - (15\/3)\/(-5). Let t = h + -91. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -38. Solve -4*h = -o - 9, j + 2 = 3*h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = d. Let h = d + 4. Let n = h - 3. Solve -n*p - 12 = 3*a, -3*p = a + 7 - 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 10:58 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*z - 2 = 12, -z = -4*v + 14. Factor -2\/11*u**5 + 4\/11*u**2 + 0 + 0*u**3 - 4\/11*u**v + 2\/11*u.\nAnswer: -2*u*(u - 1)*(u + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/((-184)\/(-96)) + -13 + 7.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) + (-34)\/(-10). Let p = 2 + -2. Suppose k + 2*k - 5*c = 0, 3*k - 3*c + 6 = p. Sort b, 4, k in decreasing order.\nAnswer: 4, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 3*h**2 + 2. Let o be k(2). Is o greater than or equal to 14\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**8*a))\/a*a*a**0\/a*(a\/(a\/a**(-1\/2)))**42)**(-24) assuming a is positive.\nAnswer: a**720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1161 and 351.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 (base 13) in base 8?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7281, -14560, -21841, -29124, -36409, -43696?\n\"Answer: -c**2 - 7276*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 6*i**2 - 6*i - 3. Let b be m(-6). Let u = b + 1. Suppose 14 = 3*x - u. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*c = 12, 0 = 4*d - 3*c - 5 + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 11) to base 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2 - 2*h**2 + 6*h**2 - h. Is 3 a factor of c(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5593*q**2 + 80*q - 425. Let a be o(5). What is a rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 1, w: 1}. What is prob of sequence dy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-170)\/(-55) + -3). Put n, 4, 0, 1\/2 in decreasing order.\nAnswer: 4, 1\/2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 - 13?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*(-4)\/(64\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17508\/14 - (7 + (-360)\/56). Calculate the highest common divisor of n and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -307 - -303. Which is the fourth smallest value? (a) -0.2 (b) 5 (c) o (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - (-7 - (-5 + 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 - 6*y + 3. Let g be x(-3). Solve -4*s - 3*b - 5 = 0, g*s - 4*b - 16 = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-390)\/(-234) - (-4)\/(-3). Solve -14\/3 + 3*o - f*o**2 = 0 for o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*14\/315*9)\/((-4)\/(-3)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**10\/2016 - v**9\/15120 - v**8\/560 + v**7\/630 - v**4\/24 + 5*v**2. Let s(p) be the second derivative of m(p). Solve s(g) = 0.\nAnswer: -1, 0, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.35 - -2.45. Let c be (-69)\/115 + 107\/195. Sort 2, -2\/9, c, p in ascending order.\nAnswer: -2\/9, c, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, z: 2, q: 3, o: 1, v: 8, u: 1}. What is prob of picking 2 v and 1 l?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 764556\/199 + -3842. Let p = z - -412\/1393. Let l(k) = -k + 3. Let u be l(0). What is the nearest to p in u, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 12*f**3 - 8*f**3 + (f + 2*f - 2*f)*(-5*f**2 - 5 + 5).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.115*-0.5\nAnswer: 0.0575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 645585 - 645554.1669. Let f = -0.0669 - v. What is f rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 180, 176, 176, 186, 212, 260?\n\"Answer: m**3 - 4*m**2 + m + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(3\/2))\/(v\/v**(-1\/7))*v**6*v\/v**1 assuming v is positive.\nAnswer: v**(103\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -384.703 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c**2 + 6*c**2 + 0*c**2.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycvnb. Give prob of picking 1 c and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, o: 5, f: 2}. Give prob of sequence hhf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-314)\/628*(-12)\/5\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (2 - (-2)\/1). Let o(u) be the first derivative of -u**3 + 3*u**2\/2 + 3*u - 458. Determine o(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-24))\/(6\/246248). Let q = j - 3415. What is the common denominator of q and 13\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2992322?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 6.7. Let w = h + -0.24. Let b be 2\/(-6) - (-2)\/24. Sort 1\/2, b, w in ascending order.\nAnswer: b, w, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7333.3536 and -1091.5.\nAnswer: -8424.8536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006756841683 to 7 decimal places.\nAnswer: 0.0000676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**3 + 2*s - 1. Let d(u) = u**3 - 21*u**2 - 3*u + 61. Let j be d(21). Let y(b) = b**3 + 4*b**2 + 3*b - 1. Let x be y(j). Calculate k(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 17, o: 2}. What is prob of sequence go?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7098135183 + 7098135482.0000287. Let f = 299.686 - 0.686. Let l = f - m. What is l rounded to six dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 10. Let n be 2*(-3 - 13\/(-2)). Let t be c(n). Calculate the remainder when 5 is divided by -2*(-1)\/(-2)*t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 311702795, 311702796, 311702797?\nAnswer: 311702798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyh when three letters picked without replacement from jygjhgjhhyhhy.\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*f + 31 - 2691. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*i = -20, 27 = -3*y - 2*y + 2*i. Let u(q) = -q**2 + 6*q + 9. Let w be u(7). Let l(t) = t**3 + 4 + 5*t + 2 + t**2 + 5*t**w. What is l(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**3\/6 + m**2\/2 + m. Let g(o) = 4*o - 3. Let k = -170 - -177. Let w(z) = 5*z - 41. Let f be w(k). What is f*n(y) - 2*g(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 12:14 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/12*(13 - 1). Suppose 2*h - 32 = -0. Calculate the least common multiple of 2\/9 + (-52)\/v and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/15303 and -109\/6.\nAnswer: 30606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 428682*-1.1.\nAnswer: -471550.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/31058114 - 4676125172939\/434813596. Let h = -10756 - d. Let j = h - -759\/56. Find the common denominator of j and -137\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -414, -1674, -3778, -6726?\n\"Answer: -422*i**2 + 6*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(-5 + 5 + 3*s)*(-46*s**2 - 32*s**2 - 182*s**2) + (-6*s**2 - 1 + 1)*(-2*s + 4*s + s).\nAnswer: 1542*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 5375*n + 430868. Calculate x(79).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 8*z - 9. Let q be o(-6). Let g be (-2*4\/(-8))\/q. Which is the third biggest value? (a) -0.3 (b) -1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 419?\nAnswer: -41a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 6, -2*s - 21*x + 7*x = -7*x + 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/9, -1\/3, 6?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 36*w + 95. Determine f(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 - 3*q**2 + q - 1. Let r be i(-3). Suppose 5*u - 184 = -3*a, 3*u - r - 97 = 3*a. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 373*d**2 - 252*d + 24. Is m(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 634, 5067, 17110, 40567, 79242, 136939, 217462?\nAnswer: 324615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 122?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 31 = -12*h + 8*h, x = 3*h - 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6438232 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2020 - -2021. Let d(f) = -3*f**2 + 3*f + 4. Let i(n) = n**2 + n + 1. Give v*d(m) - 4*i(m).\nAnswer: -7*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*u - 4*u + 0*u to y + n*u and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*g + 5. Let z = 11 - 11. Suppose -5*r + g*r + 4 = z. Solve -r*w = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/(-900))\/(2\/(-8)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13080)\/(-10900))\/((-1008)\/(-15))?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -60, -80, -108, -144?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1106*p - 48. Let z(x) = 1104*x + 43. Give -9*h(f) - 10*z(f).\nAnswer: -1086*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -15 + -371 + 418?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 10)\/(-2) + -15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.5 + 3. Let y = -0.0384 - 107.7616. Let s = y + 108. Put -5, k, s in decreasing order.\nAnswer: s, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -5, -2\/47, -47\/4, -0.3 in decreasing order.\nAnswer: -2\/47, -2\/15, -0.3, -5, -47\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*w**2 - 4*w + 4*w.\nAnswer: 44*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -385 - 2e7?\nAnswer: -67c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5 - 3766*o**4 - 18882*o**3 + 3766*o**2 + 18880*o = 0.\nAnswer: -5, -1, 0, 1, 1888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 74178.285 from 1.\nAnswer: -74177.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (198\/(-90)*-5)\/(-3*(-11)\/99)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 962.\nAnswer: -192.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + p**3 + p + 6 + 0*p**2 - 4 + 2*p**2 to the form k*p + i*p**3 + g + w*p**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27113?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -91*n + 2200. Let r be g(24). Solve f + r - 13 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)\/((o**(-4\/5)*o*o)\/o))**(-1\/7) assuming o is positive.\nAnswer: o**(36\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*a + 3*y - 4*y, -3*y = a - 15. Suppose a*d + o = 125, d + 4 - 34 = 2*o. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {g: 6, s: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3208927102 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p**25*p)\/p))\/(p*p**(-4\/23))*(p\/p**(2\/89))\/p**(-1\/18) assuming p is positive.\nAnswer: p**(-913523\/36846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35, -90, -159, -248, -363?\n\"Answer: -t**3 - t**2 - 45*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211233003 (base 4) in base 2?\nAnswer: 100101101111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*q**5 - q**3 - 16*q?\nAnswer: 540*q**3 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -792 = -5*x + 348. Suppose 0 = -3*c - 5*k + x, -k = -4*c + 2*k + 333. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -14. Let p be 2\/a - 162\/(-8). Suppose 2*w + 0*w = -3*z, 5*z = -p. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136\/(-7) + (-253 - -273)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -70071158.\nAnswer: 210213474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16210, 16694, 17178, 17662, 18146?\nAnswer: 18630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 110\/(-50) - 8\/10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -1. Suppose 10 = 7*f - 2*f, 2*f + 20 = 2*b. Let k(p) = -14*p**3 - 12*p**2 - 14*p + 12. Let o(l) = -l**3 - l**2 - l + 1. Calculate b*o(i) + t*k(i).\nAnswer: 2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4871, 4914, 4957, 5000, 5043, 5086?\nAnswer: 5129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -4*l - 56, -5*b = -3*l + 29976 - 30022 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/396*60\/40.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*y**2 - 4 + (-4 - 2*y + 4)*(-y - 5 + 5) + 3*y**2 + 0*y**2 - 2*y**2)*(4 - 2 + 5).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -643 - -645. Solve -3*b - 4*n = -8, -y*n - 2*n = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 times 9\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - g**2 - 5*g - 3. Suppose -2*n + 5 = 9. Suppose 2*s - 198 = -5*b, -3*b - 4*s = -6*s - 122. Calculate the remainder when b is divided by t(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163 is divided by 106.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13246849 is divided by 13246835.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000101001010001101000 (base 2) in base 11?\nAnswer: -1308707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a - 104 = 144 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.054*1.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193605.\nAnswer: 3, 5, 12907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 0.4 (c) -2\/9 (d) -26\/101\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**3 + 962*y**2 - 2384*y + 952 = 0.\nAnswer: 1\/2, 2, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4192 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/20*6*2080\/(-4). Let f be (1\/(-2) - 0)\/(52\/x). Solve 0 = 3*c - f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.7*-17.5.\nAnswer: 64.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5*t - 8 = -4*n, -2*n - 5*t - 3 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 133 + -64 + -158 + 58\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -57487*h + 574907. Give m(10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.043*-315916\nAnswer: 13584.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66320 and 18577890.\nAnswer: 148623120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/8)\/(c*c**7*c))**(-17) assuming c is positive.\nAnswer: c**(1207\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -148127540 to the nearest 100000.\nAnswer: -148100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -6*l - 27. Suppose l*x - 108 = -98. Solve x*c = 5*z - 13, -c - c = 2*z - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -29*k**4\/12 - 15*k + 3. Let z(c) = -3*c. Determine z(b(n)).\nAnswer: 87*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 304248621?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -99, 4, 6, -10.9 in increasing order.\nAnswer: -99, -10.9, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 880826 = 880829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8264289 and 429.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 - -266. Is q a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298745891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1013*n - 2623*n - 110352 = -732*n for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-352)\/55)\/(((-4)\/25)\/(24\/20))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eex when three letters picked without replacement from exxmmmvvmexm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 28*f + 85. What is u(-11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*n**2 - 228*n**2 + 670*n**2 - 219*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k, -u = -0*k - 4*k - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 140\/(-36) - (-5 - 0). What is the closest to -2 in 5, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f + 1046. Let w be a(0). Suppose r - w = -r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1350, -2703, -4058, -5415, -6774, -8135?\n\"Answer: -q**2 - 1350*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 310979108, 310979106, 310979102, 310979096, 310979088?\nAnswer: 310979078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + -25 + (-55 - -78).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17, -141, -457, -1055, -2025, -3457, -5441?\n\"Answer: -15*v**3 - 6*v**2 - v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a - 966 + 237*a + 660*a + 966.\nAnswer: 889*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.71 - 8. Let v = -1.5 - -1.998. Let k = m + v. Round k to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30264.82 micrometers to centimeters.\nAnswer: 3.026482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -145*w + 5493. Let u be a(37). Is 186 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 11*h + 7. Let a = 305 + -299. Let i be 9\/(((-6)\/(-12))\/(a\/(-9))). What is g(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*m - 3*k, -2*m + k = 3*k. Suppose 3*h - 63 = 3*a, -4*a + 0*a - 2*h = 54. Let l = a + 17. Solve -1 = -m*q + l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (47 + (-140)\/3)*759. Let i = -3 + 6. Which is the second smallest value? (a) 0 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*s**2 + 6*s**3 - 3*s - s + s**3 + 2*s**3 + 9 - 5*s**3 wrt s.\nAnswer: 24*s + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1, 12\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 7. Let b be (-8 + 4 + 5)*11. What is the highest common factor of b and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 119*t + 370. Let k be b(3). Let i be 5\/(-10)*5*(-12)\/(-10). Sort -1, i, 27, k in decreasing order.\nAnswer: 27, k, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(125) - (sqrt(125) + sqrt(125)*-1)) + 2))**2 - (sqrt(40)\/sqrt(72) - (sqrt(45) + -2))*4.\nAnswer: 2192*sqrt(5)\/3 + 4636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 348 and 1737912?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 9:07 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, j: 3, x: 1, s: 1, l: 5}. Give prob of picking 1 j, 1 s, and 2 y.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 + 4261250?\nAnswer: 4261223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8274 + 8382 + 1 + -133.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 1. Let j = -6 - -2. Let a(k) = -k - 4. Determine j*v(l) - a(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*u**3 - u - 2*u**2 - 25*u**3 - 24*u**3 + 0*u + u**4 in the form b*u**4 + q*u**2 + y + s*u + f*u**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 279774148 to the power of 1\/2, to the nearest integer?\nAnswer: 16726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 15060?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-224)\/6)\/(1330\/(-1140))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6864034?\nAnswer: 2, 167, 20551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**2*v**3 - 14*q**2*v**2 - 17882725*q*v**3 + 1238627*q*v**2 wrt v?\nAnswer: 12*q**2 - 107296350*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4754628?\nAnswer: 2, 3, 17, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2 (c) 0.03 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvvmvmvvvvvv. Give prob of sequence vmmv.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/14)\/(445\/1869)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1400242 + 4243?\nAnswer: -1340444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20.405 and -29494.9154?\nAnswer: 29515.3204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -639*h**6 + 108*h**2 wrt h?\nAnswer: -76680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 53, -0.062?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 + -5.08. Let c = 121 + -845\/7. Sort c, g, -5\/3.\nAnswer: g, -5\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 16*b + 17. Let r(x) = 17*x + 18. Let y(n) = -2*o(n) + 3*r(n). What are the prime factors of y(9)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/31605*-21)\/((-6)\/450*5).\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-20)*(-8)\/(-21)*1071\/153?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-31174)\/1040 + (-12)\/(-20).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1276886?\nAnswer: -5\/1276886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -309\/5. Let i = 82.9 + -82.6. Sort y, 0, -15, i in decreasing order.\nAnswer: i, 0, y, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, -11, 295, -1 in descending order.\nAnswer: 295, 14, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 23*b**2 - 40*b + 4. Give z(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + 2 - 2)*(2*p - 3*p + 0*p) + (0*p - 3*p - 3*p)*(-190*p - 211*p + 155*p) + p**2 - 2*p**2 - p**2 to the form u*p + s*p**2 + v and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 17*m + 64. Let x(b) = -2*b**2 - 15*b - 65. Let h(n) = 3*d(n) + 4*x(n). Let p be h(14). Solve 0 = -p*k - 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5 = 0, -1599*v - 1 = 3*d - 1603*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -11*p - 8. Let y be n(-8). Suppose 2*q - y = -3*q. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1519616 and 37100?\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*c**2 - 137*c wrt c?\nAnswer: 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 858*0.6\nAnswer: 514.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.67 in -1\/3, 2\/175, -2\/5, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, y: 2, x: 1, t: 3, o: 3, w: 7}. Give prob of sequence tye.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, 6\/5, 275, 11 in increasing order.\nAnswer: 0.09, 6\/5, 11, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (50 - 38) + -18 + (-10 - -12) + -12\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 20*l**2 - 174*l**4 - 18 + 12*l**3 + 176*l**4 - 68*l**2 + 52*l = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 220*z - 2 + 430*z + 590*z.\nAnswer: 1240*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by 2?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/(-29)*(-33)\/6)\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -106 in -105, 243, -2\/11?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 9:06 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -18*x**2 + 33*x**2 + 130*x**2 - 36*x**2. Let m(p) = -24*p. Calculate m(f(q)).\nAnswer: -2616*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-2) + 1 + 1. Suppose 150*o + 24 = 138*o. Put o, 3, -3, c in decreasing order.\nAnswer: 3, c, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**4 - 527828*w**2 - 304*w + 6035 wrt w?\nAnswer: 12*w**2 - 1055656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(24)\/sqrt(2)))\/((3*(sqrt(72) - sqrt(72)*-5))\/sqrt(12)).\nAnswer: sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 27 = 12. Let n(m) = -3*m - 11. Let b be n(-9). Let v be (-2)\/(-16) - 2\/b. Solve 5*t - 4*s + 5 = 0, v*t + t + l = -2*s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 143973.5?\nAnswer: 143972.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(3) + sqrt(3)*-2)*-3 - (sqrt(6)\/sqrt(2)*3 + -2))**2.\nAnswer: 36*sqrt(3) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 1. Let c be z(-4). Let l = 0.103 - 53.103. Let s = l + 50. Is s at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y - 30*y = -5*g + 56, 2*g + 257 = 2*y + 273 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 100154 and 100150 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**4\/2 + z**3\/3 - 2*z**2 + 5*z - 235. Determine r(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 41. Let i(c) = c**3 - 12*c**2 + 12*c + 3. Let g be i(j). Factor -8*p - g*p**2 + 8*p**3 + 4 + 11*p**2 + 3*p**2 - 4*p**4.\nAnswer: -4*(p - 1)**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133311 (base 4) in base 12?\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1, -0.17, -0.3, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220227349, 220227358, 220227371, 220227388, 220227409?\nAnswer: 220227434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 8*v - 12. Solve 2*c = c + v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7320000 = -9*w + 15*w. What is w rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*sqrt(11) + (sqrt(1584) - sqrt(1584)*-2)**2 - (0 + sqrt(176) + sqrt(11) + 3 + sqrt(11)*-1)**2.\nAnswer: -22*sqrt(11) + 14069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -378 + 406. Suppose -3*p = -1 - 26. What is the units digit of ((-987)\/w)\/(p\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 4*s = 5*s. Suppose 1272 = -s*g + 6*g. List the prime factors of g.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130812 = -2*x + s, 304*x - 308*x + s + 261620 = 0. List the prime factors of x.\nAnswer: 2, 83, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/270)\/(8\/30*36\/(-24))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20260 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - 3*y**2 + y**2 + 2*y**4 + 12*y**4 to the form v*y**3 + h*y + l*y**2 + s + a*y**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**3 + 3*v**3 + 0*v**3)*(4 - 1 - 5) + (9*v**2 + 11*v**2 - v**2)*(2*v + 3 - 3).\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13\/12 + 5\/6. Let t = 1 + -1.2. Let v be 77\/132*132\/(-616). Put -5, v, o, t in increasing order.\nAnswer: -5, o, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191 - 112. What is the remainder when x is divided by 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2510665602 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.99558 litres in millilitres?\nAnswer: 52995.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -74. Find the common denominator of 2\/(-7) - 778\/o and ((-8)\/(-96))\/(1\/2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 29*n**2 - 2*n - 2. Let i be z(2). Suppose -4*m - i = -2*y, -7*y + 280 = -3*y + 4*m. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -3\/2 (c) 9 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, o: 3, x: 3, b: 1, c: 5, y: 1}. Give prob of sequence owx.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -131433 (base 12) to base 11\nAnswer: -1a44a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 2*m - 3*m)*(2*m**2 - m**3 + 4*m**3 + 0*m**3 + (-m**2 + 4*m**2 - m**2)*(0*m + 3*m - 2*m)).\nAnswer: 5*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48 + 15 + 9 + 11 - 115*h**2 + 2*h**2 with respect to h.\nAnswer: -226*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -186, -358, -516, -654, -766?\n\"Answer: d**3 + d**2 - 182*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494581 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**4 - 7010*z**3 - 28175*z**2 + 77360*z - 42180 = 0. Calculate z.\nAnswer: -6, 1, 1406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 734724 divided by 367362.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -101822 at most -101823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 429.112 rounded to the nearest 10?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 473 + -276. Suppose 0 = -3*p - 2*z + 1252, -2*p + 249*z = 246*z - 813. Suppose -p = -x*l + 194*l. List the prime factors of l.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/7)*r**7*r**7*r*r**(-2) assuming r is positive.\nAnswer: r**(94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 675 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.34 (b) 10726 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -16*y**3 - 14*y**2 + y - 15. Let a be o(-12). Suppose -11*g + 58534 + a = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -286*u. Is 22 a factor of r(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 + 11 + 39)*(-v + 1 - 1)*(5*v - 5*v - 2*v**2) in the form w*v**3 + j*v + z*v**2 + g and give w.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*p**3 - 1227*p**2 + 2076*p + 828.\nAnswer: -3*(p - 2)*(p + 138)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -14350.712 to 0 decimal places.\nAnswer: -14351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 3*b, -64 = -2*d - 2*b. Suppose 4*f + 3*t = d, 36 = 5*f + t + 2*t. Let a(l) = 2*l**2 - 9*l + 2. What is a(f)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n. Let d(w) be the first derivative of -2\/3*w**3 + 0*w + 0*w**2 + 3. Calculate s(d(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2862791948.\nAnswer: 2, 715697987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1938)\/3612 + (2 - (-312)\/(-182))\/((-5)\/(-10)).\nAnswer: 3\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34125088 to the nearest integer?\nAnswer: 5842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0985 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.96431 - -0.03569. Which is the fourth biggest value? (a) -0.3 (b) 4\/9 (c) u (d) -4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12a4b1 (base 14) to base 3\nAnswer: -1012200002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 75\/(-2)*4\/(-6). Suppose -6*z + o = -z. Suppose 4*s + 0*i = -3*i + 2552, -5*s + 3155 = -z*i. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38895744301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -141 + 160. Let p(q) = -q**2 - 4*q + 2. Let a be p(-5). Let f = k + a. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8 - (-259 + (4 - 3)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j - 20 = 0. Suppose 3*w + 6 = 2*x, -w + j*w + 6 = x. Factor 8\/3*h**4 - 2\/3*h**5 + 0*h + 4\/3*h**2 + x - 10\/3*h**3.\nAnswer: -2*h**2*(h - 2)*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 12:25 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -592 * 0.3\nAnswer: -177.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 3 (b) -2 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtte when four letters picked without replacement from wvbwrtvtrtrwrwe?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/44)\/s*s**18)**21 assuming s is positive.\nAnswer: s**(15729\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.04\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -68204, -136400, -204594, -272786, -340976?\n\"Answer: c**2 - 68199*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 396\/8*(-124)\/(-2790) - 3712\/(-40)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50.9 + 51. What is the third smallest value in -5, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - 66. Let c(v) = v**3 + 2*v**2 + 6*v + 16. Let y = -28 + 46. What is the least common multiple of y and c(x)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**3\/5 - 3*s**2 + 63*s\/5 - 49\/5 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 358176 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602084.\nAnswer: 2, 7, 21503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2 = -10. Calculate the remainder when 3\/(((-9)\/25)\/b) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2)*3 + (-1 + sqrt(17))*6.\nAnswer: -6 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530385*x**2 - 3712749*x - 378 = 0. What is x?\nAnswer: -7, -18\/176795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -15*w - 9. Let p(l) be the third derivative of 7*l**4\/24 + 2*l**3\/3 + 16*l**2 + 3. What is 5*p(j) + 2*u(j)?\nAnswer: 5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 442 - 512. Let s(r) = -r**2 - 12*r + 15. Determine s(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678081570 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 113?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4743*l + 14237. Give w(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77520*h + 77522*h = 6, 3*i - 3 = -h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7, -0.5, 5, 37, -1\/33, -2?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/2 - 5181*q**3\/2 + 65022*q**2 - 275858*q + 312360 = 0. Calculate q.\nAnswer: -5206, 2, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(5*sqrt(27)).\nAnswer: sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*q - 2*o, 2*o = q + 5*o + 3. Suppose 0 = -2*t + q*a - 2427, -4847 = 5*t - t + a. Calculate the common denominator of (t\/(-24))\/(-1 - 5) and -67\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u - u - 1 - u**2 + 2*u + 3*u**2. Calculate the remainder when 7 is divided by k(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2103 (base 8) to base 16.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddpdpddddddddddddd. Give prob of sequence pdd.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 21 - 45 = 0. Suppose 0 = b*q + 18 - 172. Solve -5*p - q = -z, 2*z = p + 4*z + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260 divided by -130.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -23. Let s = 3.8 + 1.2. What is the second smallest value in 2\/7, s, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((18\/12)\/(27\/9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581955 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - w + 1. Suppose 5*f - 6*f + 5*s = -15, -5*s - 10 = 0. Let i(j) = -4*j + 0*j + j**2 - 1 + f*j - 1. Calculate 6*a(m) + 4*i(m).\nAnswer: -2*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 + 16 = 0. Let v = -14 + o. Suppose 4*b = 4*t + 52, -5*b - 5*t = -b - 79. What is the lowest common multiple of b and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b + 8. Let j(r) = -3*r - 7. Let s(a) = -5*c(a) - 6*j(a). Suppose 4*q - 14 - 2 = 0. Suppose -1 = -h - q. Determine s(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57\/5*z + 32\/5*z**2 + 63\/10 + 1\/10*z**4 - 7\/5*z**3.\nAnswer: (z - 7)*(z - 3)**2*(z - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o - 2. Suppose -12 = -3*g + 3*i, -4*i = 4*g - 18 - 6. Does 13 divide v(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2))**(2\/21)*(l**(-2\/7))**16 assuming l is positive.\nAnswer: l**(-95\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 102\/30)\/((-8)\/(-20)). Let y(f) = -2*f + 3. Let c(r) = r - 1. Determine q*c(x) + y(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 21*l**4\/4 + 111*l**3\/4 + 93*l**2\/2 + 24*l = 0?\nAnswer: -16\/7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 320939?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.35 - -0.05. Let z = d + -1.4. Let m = 4 + -2. Put 5, z, m in descending order.\nAnswer: 5, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**2 - 1. Let s = -3 - -4. Let b be (-1 + s)\/((-8)\/4). Let p = b + -1. Calculate q(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.49\nAnswer: 2.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 1411310?\nAnswer: 1411313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 46*c**2 - c - 1. Let a be z(1). Is ((-5269)\/a)\/(-1 - (-3)\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-1)*-2*(-10)\/(-40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/311 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 58*q + 802. Determine d(34).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(-15) + -3 - -3 and (2\/3)\/((-30)\/369)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 552 by 16132.\nAnswer: 138\/4033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2158669.5 months?\nAnswer: 179.889125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 7*p - 10*p + 3*p**2 to l*p**2 + j*p + f and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 438441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -433, 0, -4, -1, 1 in descending order.\nAnswer: 1, 0, -1, -4, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2910475 and 367775.\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*3\/9 + 0. Suppose -4*j - 2*k - 30 = r, -8*j - k - 45 = -3*j. Let o be 4\/j + (-48)\/(-20). Sort -5, o, 3 in ascending order.\nAnswer: -5, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwsss.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/69 (b) 0.2 (c) 2\/3 (d) 1\/8 (e) -13\/12 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 499175 to the power of 1\/2, to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1214*l = -1152*l. Suppose -9 = -5*z + 3*t, -3*z - t + 19 = 4*t. Suppose 0*n - 12 = -z*n. Solve n*y + 0*v + 3*v = 11, l = y - v + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**5\/60 - 5*p**4\/12 + 19*p**3\/6 - 784*p**2. Give b(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + (-23 - -8 - -8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 23 = i, 4*i + 6 = w - 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Let q = -77\/20 - -13\/5. Are q and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-4 - 0) - (5 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3897 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -77316.30947909.\nAnswer: -77321.30947909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-61)\/(-1830))\/(3\/9)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + 222*m + 55 - 64*m - 141*m in the form a*m**2 + l*m + c and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**3 + 5*p**2 - 10*p - 2. Let r be o(-5). Let y = r + 582. Factor 0 + s**3 - 1\/2*s + 0*s**2 + 0*s**4 - 1\/2*s**y.\nAnswer: -s*(s - 1)**2*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22200 - 20?\nAnswer: -22220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7392 divided by 163\nAnswer: -7392\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 + 32*c**2 + 25*c + 41. Let h(j) = j**3 - 15*j**2 - 12*j - 20. Let a(o) = 13*h(o) + 6*q(o). Calculate a(6).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*(-3)\/(-9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.45 - -10.25. Let w = 10 - q. Let h = 5 + -5.4. Which is the third smallest value? (a) w (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 17. Suppose -58 - 278 = -i*f. Suppose j - f = 9. What are the prime factors of j?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*y + 12, s + 2*y = -8 + 21. Let q be (3 - (5 + -2))\/(-2). Solve q = -2*n - 3 - s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10153193 and 634.\nAnswer: 20306386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -2) + 3 + -3 + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 2*t + 2*m + 9, 0 = -t - 4*m - 22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + (17 - 20) + (-2 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1 (c) 0.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 80*r - 77*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a38 + -b?\nAnswer: -a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*t = 12, 0 = -2*g - 3*t + 15 - 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -333466*j**3*w + 352571*j**3 wrt w.\nAnswer: -333466*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6444808921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-19 - 4 + 3)*(4*v**2 - 5*v**2 - 6*v**2) + (0*v + 0*v + 2*v)*(v + 0*v - 3*v) + 3*v**2 - 3*v**2 + v**2 - 5 + 5 - 2*v**2)*(-2 - 2 + 2)*(-2*v + 3*v - 3*v).\nAnswer: 540*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8651700?\nAnswer: 2, 3, 5, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d + 0*d)*(12*d**2 + 15 - 15) + (1 + 1 + 0)*(-d**3 + 0*d**3 + 2*d**3) + 0*d**3 - d**3 + 3*d**3 + 3*d**3 - d**3 - 3*d**3.\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tym when three letters picked without replacement from maaaamyyt?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14668047477\/15665 + 4681789\/5. Let h = -386562\/241 - -1604. Let x = w + h. What is the nearest to 2 in x, 1\/9, 5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/240*16 - (-58)\/(-30)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -105126000 to the nearest one million.\nAnswer: -105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1815)*2)\/sqrt(5).\nAnswer: 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = f - 5*p, f + p = -p. Suppose f - 2 = o, -2*u = -4*o - 168. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x + 18. Determine a(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10*(-4 - -3))\/(-2). Suppose 2*h - 7*h = r. Let g = -1 - h. Are g and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 879760260 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in 3, -1, 3\/8, 170, -404\/11?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**3 + 10 - 10)*(4 + 34*b - 4) + 3 - 3 + b**4 + 0*b**4 - b**4 - b**4 + (-b**2 + 4*b**2 - b**2)*(2*b - 2*b**2 - 2*b) + 5*b**4 + 0*b**4 - 3*b**4.\nAnswer: -173*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0423907l to millilitres.\nAnswer: 42.3907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/1003567 and -41\/13263.\nAnswer: 3010701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27)\/36*(-15292)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -45, -47, -51, -57?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 1032023?\nAnswer: 1032012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29970020 and 44.\nAnswer: 329670220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44.025 - -0.025. Let j = l + 44.07. Is 2\/9 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434414647 to the power of 1\/4, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10*12\/(-30))\/2. Let o(a) be the third derivative of 1\/60*a**5 + 0 + 7*a**q + 1\/6*a**3 + 0*a + 0*a**4. Give o(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -59\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8423 + -1648?\nAnswer: -11172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1772\/2215*(-6)\/36*1*-93?\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427739 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*q + 0*q**3 + 84*q + 6*q**3 + 3*q**2 + 4*q**4 + 0*q**3 wrt q?\nAnswer: 96*q + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*u - 269 = -249, -4*x = -u + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 11:14 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1160\/725)\/(8\/(-28))*(-20)\/7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4*d + 8 = 0, -3*x + 19*d - 21*d = 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u. Let z(i) = -40*i**2 - 4*i**2 + 22*i**2 - 8*i**2 - 39*i**2. What is o(z(k))?\nAnswer: -690*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + 189*440\/924?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**2 - g - 6. Let z(a) = 11*a**2 + 2*a + 13. Let l(i) = 13*v(i) + 6*z(i). Let r be -3*2\/(-4)*2. Calculate l(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 7. Let r be g(6). Suppose r = u - 2. Solve m - 10 = u*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2916*y**4\/5 + 1701*y**3\/5 + 16209*y**2\/5 + 14016*y\/5 + 468 = 0.\nAnswer: -10\/9, -13\/12, -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66426.\nAnswer: 2, 3, 11071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -260654, -3, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l - 13. Let q be c(8). What is the highest common factor of 99 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 391040?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, i: 2, x: 1, h: 4}. What is prob of sequence hc?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = -t. Let b be ((-8)\/10)\/(t\/5). List the prime factors of 21\/b*(-6)\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1848 + -1400. What is the greatest common divisor of 576 and o?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 2:23 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2576205 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (91 + -12 + (-4 - -21)) - -16\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 0.5 (c) -2\/5 (d) 396.7 (e) -350\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, 62, -1\/30, 5, -4, -26?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3568*q = 1773*q + 1780*q. Factor 0 + 2\/19*w**3 - 2\/19*w**2 + q*w.\nAnswer: 2*w**2*(w - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -18 + 20 + -16.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6463 divided by 148\nAnswer: 6463\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/(1\/6). Let t(l) = -7*l + 10. Let c(k) = 7*k - 9. Let d(o) = 3*c(o) + 2*t(o). Let r(v) = 4*v - 4. What is b*d(s) + 5*r(s)?\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43562138 - -27592138. Round m to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4276527 by 23369.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 232*m**2 - 1834*m**2 + m - 281*m**2.\nAnswer: -1883*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3303 + 1?\nAnswer: -3302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7089918*0.035\nAnswer: -248147.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 52, 12 in decreasing order.\nAnswer: 52, 12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a minute in seconds?\nAnswer: 915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033148304 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/5, -5, -3\/8, 2\/17?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*o**4 + 128556*o**3 - 13047*o**2 - 5*o + 17 wrt o.\nAnswer: 192*o + 771336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -1 - (-7 + 36). Let d be b\/(-36) + 1\/(-3). Let g = 0.04 - -0.36. Sort 5, d, g in descending order.\nAnswer: 5, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(8*b - 14*b + b).\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + (3 - -2) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f**2 - 403*f**3 + f + 71*f**3 - 16*f**2.\nAnswer: -332*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -32 times -0.5\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 + -74. Let l(k) = -x*k + 6 - 4 + 6*k. Let n be (-18)\/12*(1 + 1). Determine l(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-12) + (-7)\/(-42). Solve -6 = -j + 2*p + p, 4*j + p + 15 = d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 1)*(-5 - 9 + 0)*(-861*j**2 + 2745*j**2 - 1315*j**2) in the form m + w*j**2 + x*j and give w.\nAnswer: -15932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2602 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -j + 30. Let b be j\/((-30)\/39)*-2. Sort 4, b, -3, -4 in ascending order.\nAnswer: -4, -3, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1034 is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 138721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 730*o**5 - 25*o**4 - 20024*o**2?\nAnswer: 43800*o**2 - 600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 140, 141, 140, 137?\n\"Answer: -c**2 + 4*c + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5405543*h + 2702742*h + 2702800*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 4:31 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q = 0. Suppose -4*d = -q - 28. Solve 2*k + d = -b, 0 = 4*k + 4*b - 0*b + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21\/(-56))\/((-1)\/(-4)). Sort 1, -1, -2\/17, 4, p in decreasing order.\nAnswer: 4, 1, -2\/17, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = -2*u + j + 4*j, -u + j - 112 = 0. Calculate the common denominator of -12 and (-4)\/8 - u\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 3*j**2 + 5*j**2)*(-15 + 11 - j**3 + 25).\nAnswer: -2*j**5 + 42*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 92, 178, 260, 338, 412?\n\"Answer: -2*s**2 + 92*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) -4\/73 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24173595 is divided by 536?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1158118, -1158119, -1158120, -1158121, -1158122, -1158123?\n\"Answer: -c - 1158117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 - 5*j - 10. Let s(c) = -2*c**2 - 4*c - 9. Calculate -6*m(p) + 7*s(p).\nAnswer: 4*p**2 + 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*p + 44 + 2*p**2 + 41*p + 8*p = 0. What is p?\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2544, -68, -2, -4 in descending order.\nAnswer: 5, -2, -4, -68, -2544","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 9577643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 26*j + 752 = 0. Calculate the remainder when j is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 137.5 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -q - 45, -3*q - 3*u - 37 = 98. Let m be q\/(-12) - (-1)\/4. Differentiate -m*z**4 - 1 + 2 - 4 + 0 with respect to z.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(10) + sqrt(10) + sqrt(250)*2) - (((sqrt(425) + 1)**2 - sqrt(425)) + 0).\nAnswer: -426 - 59*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270 divided by -5.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 0\/2 - -5. Suppose 2*y + d - g*d = 72, 3*y - d = 107. What is the greatest common divisor of y and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**3 - 9*w**2 - 21*w - 17. Let c(p) = 2*p**3 - 4*p**2 - 10*p - 8. Suppose 0*d = d - 54. Let k = -45 + d. Let y(i) = k*c(i) - 4*u(i). Factor y(m).\nAnswer: 2*(m - 2)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1684242 and 252.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51330?\nAnswer: 2, 3, 5, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-3)\/((-3)\/5)*48*(-167)\/10020?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3313273884.\nAnswer: 2, 3, 19, 764837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44903 + 2627. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.907144 + -27.9072. Let d = t - -16. What is d rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**4 + 0*l**4 - 8*l + l**4 + 4*l**4 wrt l.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*k - 165*k + 57 = 0. What is the highest common divisor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n + 5. Let f = 13 + -6. Let a(r) = -f + 2*r - 9 + 18. Let o(z) = 3*z - 1. Let t be o(2). Determine t*a(b) - 2*v(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.17 + -8.1. Let v = 0.15 - 0.08. Let d = v - q. Which is the closest to -2? (a) 1\/6 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101213 (base 4) to base 16.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 17. Let s be 3\/15 + p\/(-5). Factor -1\/2*a**s + 1\/2*a - 1\/2 + 1\/2*a**2.\nAnswer: -(a - 1)**2*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38168010 divided by 7633602\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 1 - (-2 - -1 - -34). Let v = 53 + m. What is the second derivative of -r**4 - r + v*r + 9*r**4 - 17*r**4 wrt r?\nAnswer: -108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - 1*sqrt(171))*3 + sqrt(171))\/sqrt(9).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*j - 196 = 0, -c - j + 36 = -14. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51a485 (base 11) to base 14\nAnswer: 179bdd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*t + 34*t**3 - 74*t - 10*t**3 + 227*t.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46208368470740706720 - 687996397431200281363309\/14889. Let f = -49006521679 + y. Let o = f + 2\/4963. Find the common denominator of 1\/21 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.985955519 - 0.014043641. Let m = -12 - n. What is m rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x + 2*x - 39*x - 13*x.\nAnswer: -63*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 90661.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*((sqrt(396) - sqrt(396)*1) + 4)**2 - (-3 + (sqrt(176) - (-3 + sqrt(176)*1)**2)*1).\nAnswer: -28*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 187737*i**2. Let l(o) = 1663*o**2. Give m(l(s)).\nAnswer: 519199627353*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (102\/(-425))\/(3\/5). Let v = -107 + 71. What is the closest to -2 in v, 1\/4, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29356493*a**3*k**2 - 7*a**2*k**2 + 16*a**2*k - a*k**2 + 149*a*k - 4*a wrt a?\nAnswer: 176138958*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-eight thirds of a minute in seconds?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 3:51 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -3539*c**5\/30 + 4165*c**3\/2 + 54*c**2 + 73*c. Differentiate y(h) with respect to h.\nAnswer: -14156*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (29 - 5) + 2 + -29 + 65.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -717 + 740. Solve 5*a - b = -5*h + h, 2*h - 16 = -4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 13*p**2 + 10*p - 4. Let y(o) = 2 + 3 - 2 - 9*o**2 - 7*o. Let c = -214 - -219. What is c*l(w) + 7*y(w)?\nAnswer: 2*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 174767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + a + 4*a + a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2616 is divided by 97.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, k: 1, e: 1, h: 1, j: 1}. Give prob of sequence khp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 903141 is divided by 2849.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 531*t**2 - 192*t - 188. What is u(-1)?\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 38*f**2 - 5*f - 1. Let i(t) = 10*t**2 + t. What is -4*i(b) - u(b)?\nAnswer: -78*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0376 - -1.0376. Let x be 1*2 - 268\/(-5). Let l = -56 + x. Which is the second biggest value? (a) 4 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -541 + 3789\/7. Let f = -2 - -1.5. What is the closest to -2 in m, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6840 by 36.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -44016\nAnswer: -8803.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 3*v - 193. List the prime factors of v.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ccb3 (base 13) to base 12.\nAnswer: 416a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 6*m**3 - 17*m**2 - 68*m + 16. What is x(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n. Let o(z) = -z**2 + z + 10. Let t(k) = -o(k) - 6*s(k). Let i be t(-3). Solve 5*b = -i - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1828032 and 3199056?\nAnswer: 12796224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*y + 3*z - 6, -z = -2*y. Let r be y\/(-1) + (19 - 90\/10). Solve 2 = 2*s + r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(135\/(-16)))\/(5\/45)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-74)\/3 - 2\/(-3). Let d be ((-4)\/12)\/(2\/w). Let i be (1 + -1)*(0 + 1). Solve -c - 3*h - d = i, -2*c = c - 4*h - 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/a**(-2\/31)*a*a)*(a**17\/a)\/a*(a**2*a)\/(a**9\/a*a*a*a))**(-2\/31) assuming a is positive.\nAnswer: a**(-368\/961)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21012 (base 3) to base 14.\nAnswer: -dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1250) + 1*sqrt(1250))*-5)\/(-2*-1*(2*sqrt(360) + sqrt(360) - sqrt(360) - sqrt(360))).\nAnswer: 25*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 244574*p**4 - 7*p**3 - 921096*p**2.\nAnswer: 5869776*p - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**5 + 2*v**4 - 70437*v**3 + 35589*v**2 + v + 1?\nAnswer: 120*v**2 + 48*v - 422622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Suppose -4*m + 2*m + 5*i - 957 = c, -4*i + 2384 = -5*m. Is (-1)\/(3 + m\/158) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.12 + 6.12. Let q = 6.5 - z. Which is the second biggest value? (a) -1 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 (base 4) in base 3?\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 - -76. Let r(n) = n**3 - 5*n**2 + 16*n - 104. Let t be r(j). Solve -7*b + t = -0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-866)\/18 - 1681\/(-15129).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136995410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q**3 + 0*q**3 + 17*q**3 - 3*q**3.\nAnswer: 35*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = -4*p + 5*b, 4*p + 9 + 105 = -2*b. Let j be (-25)\/44 - 21\/p. Put 0.2, 6, j in descending order.\nAnswer: 6, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 0)*(2*f + 0*f + 0*f) + 37*f - 32 + 32 + 73 - 10*f - 73 to b*f + p and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1046911, -8, 5 in increasing order.\nAnswer: -1046911, -8, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83242 = -1836*a - 2458 for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -13*p - 1. Let v be r(-2). Suppose -5*n = -4*o + v, -3*n = -2*o + 1 + 14. Which is the nearest to -2? (a) n (b) 2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32003658, 9, 5 in increasing order.\nAnswer: 5, 9, 32003658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/((-72)\/(-3)))\/(5\/10*2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19211*2\nAnswer: -38422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**3\/3 + 59. Let s(j) = -25*j + 27*j - 11*j. Calculate h(s(y)).\nAnswer: -81*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 1. What is q(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*u + 2. Sort 2, 3, u in decreasing order.\nAnswer: 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -10. Let k(g) be the first derivative of 91*g**3\/3 + 2*g**2 + 14*g + 2. Is k(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, j: 9}. Give prob of picking 2 e and 1 j.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7075 = -5*k + 19095. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 9 - 5)*(2*y**3 - 4*y + y**4 + 4*y).\nAnswer: 6*y**4 + 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - (-1 - (-57)\/5) and 618\/(-144) + (-1)\/3?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-42 - 5888\/(-138)) + 4832\/6. Calculate the greatest common divisor of 992 and y.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 2*w**2 - 9*w - 3. Let p be f(-4). Let x be p + ((-16)\/7)\/2. Which is the third smallest value? (a) x (b) 1\/3 (c) 2\/5 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/8)*r*r**(-3) assuming r is positive.\nAnswer: r**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1056 + -2a?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16572 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - y - 6 = 0, 5*j = 6*j - 4*y - 39. Let q(u) = -u**2 - 11*u - 1. Let o be q(-11). Put -10, j, o in descending order.\nAnswer: j, o, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1477755 is divided by 82097.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 4:40 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5838\/(-10) - (-66)\/(-55). Let i = -239 - y. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51879323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -10255621775978.\nAnswer: -10255621775978.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**3 + 729*q**2 + 43920*q - 44652 = 0.\nAnswer: -122, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 = 5*t - 29*t + 554. What is the highest common divisor of 224 and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 14226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*u + 1 + 503*u + 66*u to the form m*u + s and give m.\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 4 - 3 + 4*m - 2*m**2. Let d be u(5). Suppose -5*r + 11 = -2*w, -r - 3*r - 2 = 2*w. Put d, w, 5 in increasing order.\nAnswer: d, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**2 - 1275155*t + 1275160 = 0. What is t?\nAnswer: -255032, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v - v - 18. Let m be 5 + (1\/v + -1)*2. Solve b + 5 = -m*j, 4*b - j = -22 + 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29020 and 12.\nAnswer: 87060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 3:29 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23886 + -23882. Solve z*m + 10 = 4*n + 2, 6 = -3*m - 2*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i**3*t**2*u - i**3*t**2 + 10*i**3*u**3 + i**2*t**2*u**3 - 5*i**2*t**2*u - i**2*t*u**3 + 3*t**2*u**2 wrt i.\nAnswer: 24*t**2*u - 6*t**2 + 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 28*x. Let k(d) = d + 5*d - 4*d - d. Calculate k(w(g)).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -27172.62*-1.93\nAnswer: 52443.1566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52269286 is divided by 717.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**2 + c**4 - 3*c**4 + c**4 + (199 + 122 + 2*c - 91)*(c**3 - c**3 - 2*c**3).\nAnswer: -5*c**4 - 460*c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2222 - -282192\/127. Let c = 2963797327\/1397 + -2121544. Let x = c - t. Calculate the common denominator of x and 46\/13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*1*((-3283)\/(-182) + -18)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 6*k - 10. Give q(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, -126, -596, -1512, -3024, -5282?\nAnswer: -8436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11626522 divided by -55102\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 1:15 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 39477129, 6 in decreasing order.\nAnswer: 39477129, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1)*-1 + 1. Let i(n) = 3 - n + o*n - 2*n + 2. Let r(z) be the third derivative of z**4\/6 - z**3 + 15*z**2. What is -6*i(u) - 5*r(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 757, 1538, 2333, 3142?\n\"Answer: 7*x**2 + 760*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 4*l - 12. Let v be p(-4). Is 1009 + 7\/(-42) + (-2)\/v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1433 - 1292. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209404120.\nAnswer: 2, 5, 823, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -18*t**2. Let v(u) = 4*u. Calculate v(x(b)).\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57*c - 83 + 49*c - 28*c wrt c?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 548*v + 228*v + 1005 = 0, 2*q + 6 = -4*v for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**4\/12 + 2*f**2. Let z(o) be the first derivative of 5*o**3\/3 - 263. Determine z(b(n)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3786 divided by -18.\nAnswer: -631\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89584327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 + r**2 + r**2 + (-11*r + 2 + 45*r + 9*r)*(0 + 4*r + 0).\nAnswer: 176*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.11 + 1.31. Let t = 601\/3 - 202. Which is the second biggest value? (a) t (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/8)\/(t**(-5)*t))\/(t**(1\/20)*t\/(t\/(t**(-1\/9)\/t))) assuming t is positive.\nAnswer: t**(1687\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.01 at least as big as 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 5*s**3\/3 - 7*s**2 + 9*s + 32. Give c(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 68*m**2 - 66*m + 72. Let z be f(-67). Solve 0 = 4*g - 16, -3*g + 27 = 5*j + z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -887 + 978 = 13*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.28 + -0.88. Let x = -13.405 + g. Round x to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.5 (c) 5 (d) 1\/5 (e) 0.4 (f) 272\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 13016 + 15936 = 0. Is 77 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2 = -4. Let t be (5 + v)*-1*-13. Let a = t - 69. Round a to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1779 and 297686.\nAnswer: 893058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umdd when four letters picked without replacement from {d: 3, u: 1, m: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 45. Suppose -4 + 6 = -2*t. Is b at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28960.4l in millilitres?\nAnswer: 28960400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 24\/15 + -2 + 9385\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 32*g**2 - 24*g + 24. Let u = 5 + -1. Let y(a) = a**2 - a + 1. Let b(k) = u*r(k) - 96*y(k). Let l(c) = 2*c**2. Determine l(b(o)).\nAnswer: 2048*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c = 21. Let d(q) = 19 + c*q**2 - 19. Determine d(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*b = -u + 5, -50 = 4*u + 3*b. Let q = -4 - u. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*n - 2*n - 16, f = -5*n + 16. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56515149*0.2.\nAnswer: -11303029.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5443\/2 or -2722?\nAnswer: -5443\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2*(-20)\/(-6). Let i = 8 + -6. Let f = -1\/119 + 15\/119. What is the closest to i in y, f, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*h + 2. Suppose h = u + 1. Suppose u*s - 7 = 9. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -1)\/(7\/1344*16). Which is smaller: p or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 530, 1304, 3464, 7706, 14726?\nAnswer: 25220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -3, -4\/3, 4, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 304 divided by -4\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47565501.\nAnswer: 3, 31, 511457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*a - 48. Let d(p) = -p + 8. Let y be d(5). Is 19 a factor of (57\/(-6))\/(y\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164829, 329657, 494489, 659325, 824165, 989009, 1153857?\nAnswer: 1318709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2. Let p(w) = 0 + 20*w**2 + 0 - 3*w**2. Calculate p(k(g)).\nAnswer: 68*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 27620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11815380 rounded to the nearest ten thousand?\nAnswer: 11820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 39450 and -5048.\nAnswer: 34402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -47*h**5\/60 + h**2 + 40*h - 4. Let v(z) = 10*z - 1. Calculate s(v(p)).\nAnswer: -4700*p**2 + 940*p - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/((-6)\/(1445\/100 - -1)) and 91\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3, -103\/23203, -4 in descending order.\nAnswer: 3, -103\/23203, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*h - 16, -h - 28 = -0*q - 3*q. Let i = -4 + q. Suppose -d = -5*d + i. Solve 4*l + d = 13, -5*c - 14 = -3*l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**6\/15 - 19*c**4\/12 + 18*c. What is the third derivative of q(x) wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 798?\nAnswer: -797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -493 - -1109. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17737 is divided by 41?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 5*n - 13767 = 2*m, -m - 5*n + 3473 = 0. What is the lowest common multiple of 14 and m?\nAnswer: 24136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-2 + 9 + -1 + (-171 - -167) - 2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 9.03. Let d = 0.23 + f. Which is the third smallest value? (a) -0.5 (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -327761 times 0.66?\nAnswer: -216322.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*s + 4*z + 23, 5*s - z = 68. Let y = -2 + -2. Sort y, s, 3\/2, 2\/7 in decreasing order.\nAnswer: s, 3\/2, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 731 is divided by 142?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 98*i**2 - 6. What are the prime factors of u(-2)?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7788, 31107, 69962, 124353?\nAnswer: 194280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 14626 = 5*c - 61283, -27 = -3*l. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 1 + 5*p - 1\/2*p**2. Calculate the remainder when 28 is divided by o(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40554 divided by -2?\nAnswer: 20277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -126b5 (base 14) to base 4\nAnswer: -23002313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535 = 5*g - t, -128*g + 129*g - 5*t - 107 = 0. What is the remainder when 422 is divided by g?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/10 (b) 2\/7 (c) -2\/5 (d) 0 (e) 2\/49 (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -26*z**3 + 2*z**2 + 4*z - 4. Let u = 5 - 9. Let w be p(u). Let o = -2376 + w. Round o to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*a - 10. Let y be -8 + -1*0\/2. Sort y, -2, a in descending order.\nAnswer: a, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 52*z - 10*z)*(3*z + z - 3*z + 5 - 5 + 6*z + (0*z + 2*z - 4*z)*(4 + 1 - 3)) as q*z**2 + m + w*z and give q.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**2*f**3*o - 57*d**2*f*o - 12*d*f**4 + d*f**2*o + 2*d*o - 2*f**2*o wrt f.\nAnswer: -12*d**2*o - 288*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0\/z)**(-5\/6)*(z*z*(z**(-1)*z)\/z*z*z*z)**(2\/79))\/(((z\/(z\/(z*z**2\/z)))\/z)\/(z*z\/(z\/z**(-2)*z)))**(-33) assuming z is positive.\nAnswer: z**(47369\/474)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 7 = -3*b, -5*m - 19 = 5*b - 49 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 273, 471, 687, 885, 1029, 1083, 1011?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68442606*u**2 - 6132*u - 7341 wrt u.\nAnswer: 136885212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6311 is divided by 1098?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 616 and 96?\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than or equal to -286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 5*h + 2*h)*(2*h**2 - 2*h**2 + 2*h**2) + 4*h**3 - 3 + 6*h**2 + 17*h**3 - 23*h**3 + 2*h.\nAnswer: -6*h**3 + 6*h**2 + 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192*x**3 - 95*x**3 - 35*x**3)*(8*x + 35*x - 12*x).\nAnswer: 1922*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 29 - 50 + 110 - 14 - 17.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4369336800663 take away -1?\nAnswer: -4369336800662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16520 and 354.\nAnswer: 49560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((2\/(-5))\/(1\/(-5)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490*h = 538*h - 192 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878 is divided by 403?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -75.7, 68\/15?\nAnswer: -75.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 22*m + 199. Let y be l(-9). Let d = 20 - 14. Let w be (-20)\/d*(-6)\/16. Which is the biggest value? (a) 0 (b) w (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00200024 rounded to 5 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22801.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert a9 (base 14) to base 12.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 12*d**2 + 11*d - 5. Calculate x(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*a**2 - 4*a**2 - a - 1 + 0*a)*(0 - 4 + 5).\nAnswer: 15*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 + 26*p**2 - 2*p + 22. Let m be f(13). Let i(x) = 3*x**2 + x + 4. Let g(w) = -3*w**2 - w - 5. Calculate m*g(b) - 5*i(b).\nAnswer: -3*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-2)\/(-12))\/(13\/117)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10121*u - 3704283. Calculate h(-366).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 (base 15) in base 9?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/42*((-339)\/226)\/(3\/(-4))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + 0.1. Let r = 31151 - 31151. Which is the third smallest value? (a) r (b) l (c) 0.4 (d) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**5\/60 + c**3\/3 - 4*c. Let n(k) be the second derivative of s(k). Let q(p) = -2*p. Give q(n(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v + 5896 = -42*v. Let k = v - -584. What is the remainder when k is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1518.792815 to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -15, -44, -95, -174, -287, -440?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 + 185*w**2 + 358*w - 6948. Give l(94).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09641 rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0.75. Let c = -549218 - -549218.2500013. Let y = c - n. What is y rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5*d + 6, 4*d = -m + 9 - 3. Let u be (5000\/3)\/m*-7440. Suppose 6*s - u = 7*s. Round s to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -117*c. Let d(u) = 2219279*u**2. Give h(d(p)).\nAnswer: -259655643*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1387169 or 1387138?\nAnswer: 1387138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*j = -80*j - 80. Put j, 472, -2, 0 in increasing order.\nAnswer: -2, 0, j, 472","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 666 = -3*t. Let f = t + 4. Calculate the remainder when f is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 655.9 + -692. Let p = -20 + 58. Let k = f + p. What is k rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3.3. Let q = 5.8 - 6. Let a = f - q. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2323 and 841431?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 = y, -3*p - 4 = 3*y - 16. Let v(a) = -2*a - 4*a + 8*a + a. Let c be v(1). Solve 5*f - 24 = 4*q, -q + p*f - 10 = -c*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5ea21 + -4f?\nAnswer: 5e9d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24695038 is divided by 1611?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4*766.817\nAnswer: -3067.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(((c\/(c**(-31)\/c)*c)\/c)\/c))\/c*c*c\/((c*c**(-10)\/c)\/c)*c*(c\/c**(-4\/19)*c)**(9\/5) assuming c is positive.\nAnswer: c**(-1237\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 + 32*k**3 - 5*k**3.\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*5*-3*-3*(1 + sqrt(448)).\nAnswer: -1080*sqrt(7) - 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*y = 1035, 6*n = 7*n - 2*y - 993. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i**2 - 22*i + 2. Let g be x(3). Let k be 8*(0 - -4) - 2. Let p = k - g. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 95? (a) 6 (b) 4 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*o**3 + 3*o**2 + 8 - 8 + 14*o**3.\nAnswer: -64*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3381, 6762, 10143, 13524, 16905, 20286?\n\"Answer: 3381*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-840)\/13455 + (-102)\/(-1326).\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.38, 0.08 in descending order.\nAnswer: 0.08, -0.38, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j. Let r = -28 + 337\/12. Let n(v) be the third derivative of -r*v**4 + 0*v**3 + 0*v + 0 + 2*v**2. What is n(t(d))?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 1\/30*p**5 + 1\/2*p**3 + 0 + 0*p**4 - p + 21*p**2. Let d(m) = -m**3 + 3*m**2 + 4. Give -2*d(r) + 3*o(r).\nAnswer: 2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.2410919 to 1 decimal place.\nAnswer: 48.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 17*b + 384 - 384 + 4*b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 23760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 17. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13136\/248 + 0 + 36\/1116?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-6)\/(-9) + 0\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (4 + 12 - (-41 - -43)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*p = -35. Suppose 0 = 5*j - p*j + 46. Let u = j - -234. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*g - 3 = -1, -3*g = 4*t - 3. Suppose s = -t*s + 2. Let f be 8*5\/6*(-45)\/(-150). Calculate the greatest common divisor of s and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 + 8*k**2 + 9*k**2 + 0*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**2 - 95*t - 460 = 0.\nAnswer: -4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 7\/4 (b) 1\/8 (c) 2\/3 (d) -35 (e) -211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*l - 25 = 0. Solve 5*k + 3 = -4*a, l*a - 3*a + 5*k + 9 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6995, 6999, 7003, 7007, 7011?\n\"Answer: 4*b + 6991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 631297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 245 = -5*c + 677 - 259, -5*d = 24*c - 812 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1.2, 4, 8\/639, -5 in decreasing order.\nAnswer: 4, 1.2, 0.2, 8\/639, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 13*r - 536. What is the remainder when 687 is divided by s(52)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = 5*o + t, 0 = -o - 2*t - 5. Let z(a) = a**3 - 4*a**2 + 4*a - 3. Let i be z(3). Calculate the least common multiple of i + 0 + (14 - 12) and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1254 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 107*a**3 - 5*a**2 + 2*a + 12. Let k(w) = 104*w**3 - 4*w**2 + 2*w + 12. Let i(x) = 5*k(x) - 4*z(x). What is the second derivative of i(q) wrt q?\nAnswer: 552*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4135691.\nAnswer: 7, 590813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -556459 and 8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -7, 1356, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*o - 15869 - 15846 + 31715.\nAnswer: -39*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 463105 + -3553?\nAnswer: 457332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9766009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -1353.4683.\nAnswer: -676.73415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -9.1, 2\/59?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 197\/3 + -65. Let h = 0.545 + -0.345. What is the biggest value in d, h, -4, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**5 - 170352*w**4 + 1813396988*w**3 + 7256484208*w**2 - 1813396992*w - 7256313856 = 0.\nAnswer: -4, -1, 1, 21296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 10:13 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6\/o*(o\/(o\/(o\/o**(-2)*o)))\/o*o\/(o\/o**5)*o**3)\/((o\/(o*o**(-2)\/o))\/o**(-1)*(o*o**1\/o)**(-27)) assuming o is positive.\nAnswer: o**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -157086 divided by -1\nAnswer: 157086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -218, -1094, -3148, -6878, -12782, -21358?\nAnswer: -33104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k + 5. Let n be t(0). Let d(r) = -r**2 + 8*r - 5. Let c be d(n). Suppose -94 = 8*i - c*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 382 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - (-36 + 18)) + -3 + -10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 3:26 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/((-6)\/2)*(-26)\/(-156))\/((-5568)\/(-1624)).\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 877 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 3:42 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 132 + -44?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 997 + -993. Suppose 4*l + 1 = 5. Which is the third biggest value? (a) l (b) u (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 0.973, -5, -0.4, 4 in descending order.\nAnswer: 4, 0.973, -0.09, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 256 = 68. Suppose a - 31 = -4*t + t, -2*t = 4*a - d. What is the least common multiple of a and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44256 - -2.\nAnswer: 44258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 7*s**2 + 3*s - 27. Let i be b(7). Let x be (-1568)\/(-1120) + (i\/5)\/(-2). Solve 0 = 4*t - t + 2*g + x, -2*g = 2*t - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -858 + 858.0295. What is c rounded to 3 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h - 52. Let i be p(9). Suppose i*a - 9*a = -30. Let z(q) = -2*q**2 - 33*q - 28. Is z(a) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2845937.\nAnswer: 1049, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2522*h + 52956. Calculate a(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18177.08445ns in weeks?\nAnswer: 0.000000000030054703125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7819.37999966 - 7819.39. Let k = 2.99 - 3. Let l = k - c. What is l rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/2 + 16. Let x = -1.054 + 1.154. What is the closest to -1\/2 in x, -0.2, 1\/5, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -45 + 6?\nAnswer: -3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/14)\/(1\/(-4)*2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (sqrt(224)\/sqrt(7))**2*3.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 121, 131, 131, 109, 53, -49, -209?\n\"Answer: -2*v**3 + 7*v**2 + 3*v + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9032, 17486, 25940, 34394, 42848?\nAnswer: 51302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8 + 0 = 0. What is the least common multiple of 32 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 542, -8, 2.74?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6) - 11\/(-3). Let h(w) = -3*w. Let s be h(-1). Solve -s*c + 5 = f*o, -c + 3*o - 9 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + 4*f**3 - 2*f**3 - 2*f**3 + f**3 + 0*f**3 - 6*f**3 + f**3 + 3*f**3 + (0*f**2 + 4*f**2 - 3*f**2)*(-6*f - 2*f + 4*f) + 7*f**3 + 0*f**3 - 4*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359314229.\nAnswer: 3, 7, 13, 4979173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3\/8 - 153*b**2\/8 - 537*b\/2 - 1287\/2 = 0.\nAnswer: -26, -22, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**5\/60 - v**2 + 18. Let o(x) = -5*x**2. What is o(h(y))?\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -20, -11, 2, 19, 40?\n\"Answer: 2*y**2 - y - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 16 - 41 = 0. Let n = -31 + 18. Let q = n + 16. Solve h*i = q*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -471601, -472528, -474069, -476218, -478969?\n\"Answer: g**3 - 313*g**2 + 5*g - 471294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -402*s - 9215. What is c(-23)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.5173 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knnyyryyp. Give prob of picking 1 y and 1 p.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 20 = m, 0*m - m - 2*x - 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003848 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9760)\/5490 - (-2)\/3)\/(-10)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001009 to 6 dps.\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*p - 16. Suppose 25*b = 7*b + 108. Calculate the lowest common multiple of p and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 12*n**2 + 10*n - 7. Let q be i(-11). Find the third derivative of -23*s**q - 169*s**2 + 3*s**4 + 190*s**2 wrt s.\nAnswer: -480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753415907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -225 - -7. Let d = -217 - t. Let l = 0.1 - 0.3. What is the second smallest value in 0.1, d, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14.4, 2\/11, -2, 0.1 in ascending order.\nAnswer: -2, 0.1, 2\/11, 14.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*((-5 + sqrt(2448) + -1 + 1 - (-3 + 4 + sqrt(2448) + -1)) + 4))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1202282 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -84, 4, -2\/5, 0.044, -0.01?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*i + 9 - 27, 3*o = 2*i - 18. Is 16753 - (-5 + i + -5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-28) - (-732352)\/(-60032)) + 12.\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.6 + -3.1. What is the smallest value in -1, 0.1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3585.251 millilitres to litres.\nAnswer: 3.585251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 + 2049.\nAnswer: 2047.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -13*p**5\/20 + 7*p**4\/12 + 7*p**3\/6 + 9*p**2\/2 + 1003*p. Let u(h) = -4*h**3 + 2*h**2 + 2*h + 3. Determine -7*u(b) + 2*x(b).\nAnswer: 2*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 10*x**2 + 3)*(4 + 3 - 4 + (3 + 1 - 6)*(0 - 1 + 3)) to the form a*x**2 + n + t*x and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1764989282 divided by -252141326\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-8)\/(-72))\/(1\/6))\/(97\/1455). Solve -d*s + 12 = -7*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 4*i + 13. Let t be c(8). Let l = 48 - t. Suppose -5*u = -l*z + z - 270, z = 0. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.280468 milligrams to nanograms.\nAnswer: 9280468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - 46*p - 24. Let z be 10\/6 + ((-240)\/9 - -3). What is v(z)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = 0, 0 = 4*b + m - 108 - 43. Let z(c) = c**2 + 5*c - 1. Let j be z(-6). Solve -j*s + b = 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Suppose 0 = 4*h - y*d + 3, 3*d - 2 = 2*h + 1. Let g be 2 + h - 0 - -2. Solve 2*p - g = -2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 3*b + 32*b)*(b**2 - 3*b - 3*b**2 + 3*b**2) as t + k*b + q*b**3 + r*b**2 and give r.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -310*q + 2139. What is the remainder when i(-26) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 578?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**4\/6 + u**3\/2 + 2*u**2 + 2*u. Suppose 8*g + 20 = 3*g. Let m be s(g). Solve -m = -4*f - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -188 + 197. Suppose -98 = -0*k + k. Let z = k + 197. What is the highest common factor of z and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 t when three letters picked without replacement from {t: 3, m: 3, f: 2}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1228331240 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 610*z + 335*z - 24 + 3*z**2 in the form f + v*z + q*z**2 and give v.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 + 102.3. Round f to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -168 + 188. Suppose 3*b - 5*v - n = -28, -v - 60 = 5*b. Sort b, 2, -5, -1 in descending order.\nAnswer: 2, -1, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.19, 40, -1702\/5 in increasing order.\nAnswer: -1702\/5, -0.19, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/21)\/r**4 assuming r is positive.\nAnswer: r**(-82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2982 less than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1796.504 to the nearest 10.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6655147416 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -23 - -31 - 25.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 68? (a) 0.2 (b) -5 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*y = 28*y + 34*y + 2129040. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h**4 + 16*h**3*j**2 + 48*h**2 + h*j**2 - h*j wrt h.\nAnswer: -144*h + 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**4\/48 + s**3\/12 + 73*s - 21. Let i(a) be the first derivative of d(a). Factor i(z).\nAnswer: z*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + e4cc58?\nAnswer: e4cc57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 - 3*l**4 + l**4)*(3 - 3 - 6*l) + (3*l**4 - l**4 - 3*l**4)*(-17164 - 80*l + 17164).\nAnswer: 86*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 3*t + 330. Suppose 4*p - 5*n - t = 0, 0 + 12 = p + n. Calculate the smallest common multiple of p and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485803.\nAnswer: 167, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 9*u - 11*u.\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from beeccpeccc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21057985 rounded to the nearest ten thousand?\nAnswer: -21060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*r = -5*r + 33*r - 5566 - 16634 for r.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*y - 10, 88*j = 5*y + 93*j + 15. Suppose -3*u - 2*u = -15. Sort u, y, 4, -5 in decreasing order.\nAnswer: 4, u, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 7*g**6\/3 + 2*g**4\/3 - 731*g**3\/6 - g - 17. What is the second derivative of r(w) wrt w?\nAnswer: 840*w**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-2*b**4 - 3*b**4 + 3*b**4) + 47*b**4 - 133*b + 133*b + 3*b**4 - b**4 + 0*b**4 + (-1 + 4 - 5)*(-3*b**4 - 2*b**4 + 3*b**4).\nAnswer: 49*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 497685415 + -2?\nAnswer: 497685413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 1, 816, -1, 0, 2.\nAnswer: -32, -1, 0, 1, 2, 816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*(i*((i\/i**(-13))\/i)\/i)\/i)\/i*i)\/i)\/i)\/(i\/((((i\/(i\/(i\/(i*i*((i*i\/i**22*i*i)\/i)\/i)))*i)\/i)\/i)\/i*i)) assuming i is positive.\nAnswer: i**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/128 and 29\/7942944.\nAnswer: 31771776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3554*o**3*u**3 + o**3*u**2 - 3*o**2*u**2 - 9*u**2 + 11*u wrt u.\nAnswer: 21324*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 - 4*s**2 + s - 3*s**2 - 2*s**3 - 5 + 0*s**3. What is the units digit of h(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8348c4 (base 13) to base 5.\nAnswer: -1241110302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -3*z**4\/4 - 16*z**3 - 75*z**2\/2 + 126*z - 1394. Factor c(o).\nAnswer: -3*(o - 1)*(o + 3)*(o + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -38. Let x = -12 + t. Let k = -16 - x. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -130, -129?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191509086*v**6 + 87413046*v**2?\nAnswer: -22981090320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5012 less than -5?\nAnswer: -2.4988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 12) to base 11\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (589 + 14 + 67 - 79)*(4 + 5 - 8 - 3*k).\nAnswer: -1773*k + 591","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12582*h**4 + 11*h**3 - 1755707*h**2 - 2*h + 1 wrt h.\nAnswer: -301968*h + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1015 divided by 29?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + x**2 - x**2)*(31*x**2 + 8*x**2 - 112*x**2)*(-18 - 6 - 3).\nAnswer: 3942*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2697 and 3.\nAnswer: 2697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222 - 3*z**3 + 115 + 107 + 240*z**2 - 765*z**2.\nAnswer: -3*z**3 - 525*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**6\/60 + p**5\/15 + p**4\/12 - 2*p**3\/3 - 5*p**2 - 2*p. Determine x so that n(x) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 18\/3 - -1. Suppose -l = 4*n - 26. Let h = 11 - n. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/7 (b) 0.1 (c) 1\/8 (d) -0.82\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + 1 + sqrt(147) + sqrt(147) + (0 + sqrt(363) - sqrt(363) - sqrt(363) - (0 + sqrt(3) + 2)))**2*2*-5.\nAnswer: -160 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(252) - sqrt(252)*-2) + -3)*3)**2.\nAnswer: -2268*sqrt(7) + 20853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(4 - 1 - 5)*(399*v + 355 - 355).\nAnswer: 1596*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 1410 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*v + 3, -4*u = 3*v + 25. What are the prime factors of 10\/(-16)*2*u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/8 (b) 4\/7 (c) 7 (d) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 32*d = 34*d + 1, -3*d = 9. Is -1\/139 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3795*s - 15*s**2 + 1918*s + 1877*s - 9. Let i(w) = -3*w**2. What is i(b(y))?\nAnswer: -675*y**4 - 810*y**2 - 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t. Let b be c(-1). Let o be (-1)\/((-1 - 2)\/b). Let p = o - -3. Sort 1, p, -1 in descending order.\nAnswer: p, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 6*f = 16*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -140102 divided by 18\nAnswer: -70051\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -28.5. Let c = x - 118.5. Let f = c + 112.9999878. Round f to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/11)\/(p*p\/(p*p**12*p))*p**(-16)\/(p*p**(-7\/3)*p))**(2\/33) assuming p is positive.\nAnswer: p**(-254\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1392000 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.4471 * 5.\nAnswer: -22.2355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116729.64us to days.\nAnswer: 0.0000013510375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a2 + -14?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 32 = 4*y - 0*y, -2*u + 4*y - 26 = 0. Does 43 divide (-428)\/(-5) - ((-17)\/5 - u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-20 - -2) + (6 + 4 - (31 - 12))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35.709 - -1731819.5\nAnswer: 1731783.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-30) - ((-6)\/(-4))\/(-3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426585697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -48, -111, -190, -279, -372?\n\"Answer: s**3 - 14*s**2 - 28*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2788574.\nAnswer: 2, 31, 41, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 410 by -2.\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = z, 2*z + 2 = 2*b - 0*z. Suppose 7*l - y = 2*l + 604, l - y - 124 = b. Suppose 5*r - 3*r = l. Calculate the greatest common factor of r and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -489*x. Let f(w) = -4*w**2. Give a(f(o)).\nAnswer: 1956*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 684320000 rounded to the nearest one million?\nAnswer: 684000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exkeexxkeexkve. What is prob of picking 3 e and 1 x?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2037\/(-6790))\/(((-24)\/35)\/(-2))?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zif when three letters picked without replacement from ikzffjzc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56 + 1658?\nAnswer: 16b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**3 - h**2 + h + 1. Let k be t(-1). Suppose k*a - 54 = -2*f + 2*a, -4*a = -f + 9. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -1d312?\nAnswer: 1d30c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(180) - sqrt(180))\/sqrt(10) - sqrt(882)*-3)\/((sqrt(18)*-2*-3 - sqrt(18))\/(sqrt(3) + sqrt(15)\/(sqrt(5) + sqrt(5)*2))))**2.\nAnswer: 5776\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -313323 + 2?\nAnswer: -313321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80.32 + -325. Round q to zero decimal places.\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 21*f**4 + 132*f**3 + 204*f**2 + 48*f = 0?\nAnswer: -4, -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17759 is divided by 1350?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 5*o = 0, -m - o + 15 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 116*o - 219. What is m(-56)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -47.\nAnswer: 22\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-980))\/(355\/1775).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10*p + 5. Suppose -o - 30 = -6*o. Let w(k) = -14 - o*k - 3*k + 16 - 6. Determine -4*g(a) - 5*w(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*-2)\/((-64)\/(-448)*(-3)\/((-9)\/6))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - 2*i + 2*i)*(442 + 82*i + 39*i - 117*i) as y + x*i + a*i**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 36*u**2 - 29*u - 64. Determine x(-2).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + s - 7, 0 = -2*p + 3*s - 0 + 1. Suppose 4*t - p = 154. Suppose -5*f + t + 136 = 0. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18659 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**3 + 6*g**2 + 12*g + 1. Let y be k(-5). Suppose 0 = 117*i - 115*i - y. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1173 + 674. Let u = s + 996. What are the prime factors of u?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6664897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 558 and 54?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11*j**3 - 16*j**2 - 39*j + 80. What is the hundreds digit of r(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 1. Let o be r(5). Suppose 3*p - 2*k + 9 = k, 2*p + 4*k + 12 = 0. Is o at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4)**(-29)\/(h**(-7\/5)\/h**(12\/5)))**(4\/7) assuming h is positive.\nAnswer: h**(-2244\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -260*r**2 + 20*r + 9. Let v be t(-6). Let k = -3227 - v. Is (k\/(-20))\/(4\/(-20)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 241 = -t - 239, 3*z = -t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2439209?\nAnswer: 313, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 4. Let f be l(-4). Let h = -301\/40 - -57\/8. Which is the closest to -0.4? (a) f (b) 1\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13182002 and -46.\nAnswer: 606372092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 6:42 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l. Suppose l = -2*t + 2*k + 1068645 - 28641, -2*k + 1039996 = 2*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: Let s = 30.3 + -30. Which is the nearest to -0.4? (a) -5 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**5\/10 + p**4\/24 - 2*p**3\/3 - p**2\/3 - 107. Factor w(k).\nAnswer: k*(k - 2)*(k + 2)*(3*k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537066672 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o**2 - 64*o - 20. Calculate the lowest common multiple of y(9) and 472.\nAnswer: 6136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1640 and 176915?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -762, -1725, -3084, -4845, -7014, -9597?\nAnswer: -12600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.17 - -0.07. Let m = -1923.04 + 1923. Is v >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -20222?\nAnswer: -20212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q**2 - 173*q**2 - 42*q**2)*(-3*q - 2*q + 2*q) to i*q**2 + v*q**3 + m + s*q and give v.\nAnswer: 633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 85*h = 87*h - 8, 3*n = -4*h + 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4 + 3*m + 0*m - 5*m - 4. Let i(z) = 66*z + 1. Let j be i(4). Let t(q) = -j - 14*q**2 + 265. What is t(w(g))?\nAnswer: -56*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 0*k - 4*k + 3*k + 10 + k**4 - 3*k**2 - 12*k**4 as x + y*k**4 + i*k**3 + q*k**2 + w*k and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/33)*l*l)\/(l*l**24*l))**1 assuming l is positive.\nAnswer: l**(-794\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.4 (b) 4 (c) -38 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 598601919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69.9837 + 70. What is y rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549.89 less than 1.34?\nAnswer: -1548.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 3*r**5\/140 + r**4\/28 - 5*r**3\/7 + 12*r**2\/7 + 84*r. Factor a(b).\nAnswer: 3*(b - 2)*(b - 1)*(b + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 304 = -3*n. Let r(j) = -14*j**2 + 4*j - 4. Let x be r(2). Let f = x + n. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 843.1035 weeks to seconds.\nAnswer: 509908996.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/4 of a week?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11021.729 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75.8 - 16.2. Let r = 68 - h. Round r to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 39067*j - 820414. Determine q(21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -353 + 4666185*s - 4665641*s + s**2 + 1437.\nAnswer: (s + 2)*(s + 542)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -36 + (-4 - 7) + 51 + -45.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)\/p**(2\/135))\/(p**18\/p*p**(-10)\/p*p))**(-3\/31) assuming p is positive.\nAnswer: p**(1217\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 1:53 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -10. What is the tens digit of 21\/(-14) - (-31)\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 33. Suppose d - 7 - 11 = j*c, 3*c = 4*d - 33. Let h(l) = -d*l + 5*l + 20*l. Let p(r) = 2*r**2. Give h(p(w)).\nAnswer: 38*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 12 = 3*v, 5 = 2*v + 3*v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9608 times 2048.2?\nAnswer: 19679105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 8 in decreasing order.\nAnswer: 8, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/15*5 + -47. Let s be n\/(-16) - (-3)\/24. Solve -y - 4*m = 20, 0*y - s*m + 4 = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -449, -1818, -4107, -7322, -11469, -16554, -22583?\nAnswer: -29562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f. Let d(g) = -12364*g + 12364*g - 1 + g**2. Give d(x(t)).\nAnswer: 4*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.23?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**3 - 11*q**2 + 13*q + 161. Let r(v) = 2*v**3 - 3*v**2 + 4*v + 54. What is -7*r(m) + 2*u(m)?\nAnswer: -2*m**3 - m**2 - 2*m - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, e: 1, r: 5, m: 1, p: 1}. What is prob of picking 1 s, 2 r, and 1 e?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 5*i**2 - i - 5. Suppose -4*j - 12 = -j. Is k(j) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(2*q - 2*q - 2*q) - 2*q - 3*q + 4*q + (-2*q - q - 10*q)*(0 + 2 - 1).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-29 - -4)\/(-5) - 2. Solve 10 = h - z*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b + 24*b + 31*b - 5*b - 15*b**2 to m*b**2 + t*b + y and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23023*k**3 - 23024*k**3 + 46046*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0.2 (b) -3\/2 (c) -4 (d) 29 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643060 a multiple of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/(-42)*(6 - (7 - 4)). Solve -w - 11 = 4*g, -a*g - 4*w + 16 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m + 6. Let k(u) = -11*u - 13. Let c(v) = -2*k(v) - 5*p(v). Determine c(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 + 47. Let a = q - -29.3. What is a rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 29*y**2 - 3*y - 2. Let p be i(-1). Does 13 divide ((-70)\/p)\/(2\/(-36)) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 195 and 242060.\nAnswer: 726180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 2539, -197 in increasing order.\nAnswer: -197, 13, 2539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f**2 - 4168 + 4168. Let n(p) = 56 - 2*p - 56. Calculate n(o(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -15. Let b = -17\/2 + f. Is b smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2*j + 9 = 3*v, -2*j - 12 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from geggfgggggg. Give prob of sequence efg.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 289542 and 386056.\nAnswer: 1158168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -24. Suppose -2*y + 8 = -4*y. Sort y, g, 3 in increasing order.\nAnswer: g, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37.02 - 36. Let z = n + -0.02. Suppose -55*k - 420 = 240. Which is the second smallest value? (a) k (b) z (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*n = 2611 + 836 - 540 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 4. Let d(f) = 15*f**2 - 453*f + 84. Let w be d(30). Which is the second smallest value? (a) t (b) w (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41823*f*i + 3*f - 1211393*i with respect to f.\nAnswer: -41823*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(3 + 2*(-3*sqrt(891))**2).\nAnswer: 481230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 4 = -4*c - 3*v, -8 = -c - v. Suppose 430 = r - 85*n + 89*n, -c*r + 3*n = -1644. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1715 (base 10) to base 11.\nAnswer: 131a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 30. Let l be z(-25). Is 6 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 4 + -23 + 63?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7582277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 723.3 - 723. Which is the third biggest value? (a) -83 (b) s (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**2 - 3*v + 2. Suppose 3*o + 0 = 6. Calculate the remainder when q(-3) is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-396582)\/(-4905))\/(-2))\/(1 - -5). Let c = -69\/545 - x. Calculate the common denominator of c and 31\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1438, -2860, -4282?\nAnswer: -5704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -5 + 3 - (2 + sqrt(13) + (sqrt(1872) + -1 - sqrt(1872)))**2)*-6*5.\nAnswer: -30*sqrt(13) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -2\/5 (b) -7 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -400 divided by -40\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3806056, 2 in ascending order.\nAnswer: -3806056, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4)\/(z*(z\/(z\/z**(-3))*z)\/z*z))\/(z*z\/(z**2\/z))**31)\/((z*z**2\/z*z*z)**(-9\/7)\/(z\/z**(1\/4))**(-50)) assuming z is positive.\nAnswer: z**(-929\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -7. Suppose 16 = -2*c + 54. Let y = r + c. Calculate the highest common divisor of y and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 3 - 3)*(14*o - 15*o + 13*o)*(8 + 19 - 39)*(2*o**2 + o**2 - 2*o**2) as d*o + h*o**4 + c*o**3 + l + a*o**2 and give h.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -241.9031 - -242. Let c = 0.0648 - p. What is c rounded to 3 dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1067 - -1000 - (-1 + -63)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 33*j + 217. Let y be m(24). Solve -5*n + 14 = 3*l, y + 1 = 2*l - 4*n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {t: 5, o: 2, j: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*q - 17, 0 = -5*q - 5*a + 3*a + 26. Let y = 425 - q. Suppose 5*k = n + y, -n + 259 = -2*k + 5*k. List the prime factors of k.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.31 + -0.01. Let x = -0.2 + l. Let u = 11 + -13. What is the nearest to x in -0.1, u, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -10. Let r = p + 10. Suppose 6*b + r = 8*b. Solve 0*n = -b*n + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 185486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(65) - (sqrt(65) - -1*sqrt(65))*4)\/(-1*sqrt(605)*-1 + 5*-2*sqrt(605) + sqrt(605)))**2.\nAnswer: 13\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*n - 2*f, 5*n + f - 35 + 10 = 0. Solve n*v - 14 + 29 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155446 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752 is divided by 237.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25222 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1497855 take away -2162941.23?\nAnswer: 3660796.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*a**3*q**4 - 4*a**3*q**3 - a**3*q**2 + 20*a**3 - 4*a**2*q**2 + 5*q**4 wrt q?\nAnswer: 216*a**3*q - 24*a**3 + 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -2\/79 (c) 0.06 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.39 (b) -0.64 (c) 2\/7 (d) 0.01 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**4\/12 + 5*d**3\/6 + 8*d**2 + 3*d - 12. Let i be z(7). Let f be ((-14)\/(-21))\/(34\/(-6) - i). Does -1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1485*n = 5697*n + 433836 for n.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -507 - -1593. Let c be 6 - r*847\/7. Round c to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -23, -3, 12.\nAnswer: -23, -3, 12, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 31*w**2 + 311*w + 36. What is p(8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -20*l - 5. Let i(q) = -4*q - 1. Determine 22*i(d) - 4*k(d).\nAnswer: -8*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -7 - (-127 - (-168 - -58))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 - 8*k + 6. Let x = 9 - 10. Let h(c) = c - 1. Let z(q) = x*j(q) - 6*h(q). What is the remainder when 22 is divided by z(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = l. Suppose l*q - 31 = 5. Suppose -6 = -6*w + q. Solve -18 = -w*k - 3*c, -11 + 2 = -4*k + c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 81*o - 609. Let d(h) = -h**3 - 5*h**2 + 4*h + 3. Calculate the lowest common multiple of d(-6) and y(-11).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wapakqp. Give prob of picking 2 p, 1 w, and 1 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/190072903 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k - 6 = -28*k. Solve p = -k - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2. Let r(g) = 3*g - 6*g + 8*g - 6*g + 11. What is r(b(j))?\nAnswer: 2*j**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -55333*d**3\/2 - 5*d**2\/2 - 14*d. Let c be b(5). Round c to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.2, -169\/6, -0.4?\nAnswer: -169\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = v - 2*k, -2 = -3*v + 5*k - 15. Suppose v*d - 5*z - 203 = 0, 4*d - 9*d + 3*z + 270 = 0. What is the highest common factor of d and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 744 + 28. Suppose 0 = 2*m - m - x. Let g = m + 195. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*g + 2190 - 291 = 143*g + 273 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 6*c + 481. Let m be x(0). Suppose -m = -2*p - 5*y, 2*y + 290 = p + 45. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/2402 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34160 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4799 = 3037. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 537.217383643 + -0.579.\nAnswer: 536.638383643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/261 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34120061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/5118 and (((-192)\/14)\/12)\/(126\/931).\nAnswer: 15354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 416, 428, 456, 506, 584, 696?\n\"Answer: v**3 + 2*v**2 - v + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 47344.2615 and -18?\nAnswer: 47362.2615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -24 (c) 1 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + sqrt(125)*-3 + 2 + -1)**2.\nAnswer: -180*sqrt(5) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2. Let f(o) be the third derivative of -3*o**5\/20 + 13*o**2. Determine y(f(u)).\nAnswer: -81*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -27*b + 19*b + 91 + 8*b - b**2. Suppose -3*z + 15 = -3*w, -4*w = -2*z + w + 25. What is the units digit of d(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Let q(i) = -i. Suppose -22 = 5*g + 3. Let p = 11 + -4. Let x(v) = g*q(v) + p*h(v). Let d(r) = 2*r. Determine x(d(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*w - 575 = -4403. Let x = -15 - -25. Suppose p - 2*p - 4*t + 5 = 0, 2*p - 5*t - x = 0. Solve -p*n - w - 3 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*w**3 + w**2 + 29563*w + 212922?\nAnswer: 6*w**2 + 2*w + 29563","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.9 - 6. Let m = -3\/74 + -115\/814. What is the closest to -8 in m, d, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4148*x + 2190153. Give u(528).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.10095 - -1.974. Let p = m + 0.127. Round p to six decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6250 - -6256)\/(9\/(-84)*(-21)\/30)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 42\/10)*-60. Let b be -2 - 0 - 3*14. Let o = x + b. Calculate the highest common factor of o and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/10 and -26\/6987?\nAnswer: 69870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -257, -687, -1463, -2759, -4749, -7607?\n\"Answer: -29*z**3 + z**2 - 230*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7524.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a*r**3*x**2 - 3483*a*r**3 + 5*r**3*x**2 - 1030*r*x**2 wrt a?\nAnswer: 2*r**3*x**2 - 3483*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 407 = -q, 5*q + 274*a - 2045 = 269*a. What is the greatest common divisor of 60 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) 0.4 (c) -6\/23 (d) -2 (e) -0.26 (f) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -22925.1 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 246 = 9*b + 2*k, 5*k = 3*b + 735. Let q = -989 - b. Is -749 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 5*q**2 + 2*q - 4. Let t be y(-4). Solve -2*v - 22 = -t*z, -7 = 4*v + 5*z - 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b. Let v(m) = -41*m - m - 7*m - 17*m. Determine u(v(f)).\nAnswer: 462*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2482764.7 rounded to the nearest ten thousand?\nAnswer: 2480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4719\/5 + 939. Let r = 26\/5 + f. Which is the closest to -3\/2? (a) 0.2 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*x + 2 - 29*x**4 + 28*x + 0 - 61*x - 2*x**3 + 0*x**2 + x**2 as z*x**3 + o*x + j*x**2 + u*x**4 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 49.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*(a\/a**(-4\/7))\/a*a)\/a**(-3))\/(a**(-6\/7))**(-27\/4) assuming a is positive.\nAnswer: a**(25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5045220 divided by -4\nAnswer: 1261305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11449 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1783452?\nAnswer: 1783452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 10:21 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**2 - 488*t - 7516. Calculate q(-18).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53 + 143 + 39 + 131*s + 107*s wrt s.\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 827, 825, 823, 821?\n\"Answer: -2*x + 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a meter in millimeters?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*q + q. Let x be q\/20*(3 - 1). Let j = 0.047 - -0.053. What is the biggest value in -1\/4, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(99)*-1)\/((sqrt(1296) - (sqrt(1296) + sqrt(1296)*-4)) + sqrt(1296) + sqrt(1296)) - -3*(sqrt(110)*1*-6)\/((sqrt(150)\/sqrt(3))\/sqrt(5)))**2.\nAnswer: 1147619\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13\/8 + -2)\/(257\/(-2056)). Suppose -32\/5*g**j - 32\/5*g - 6\/5*g**4 - 6\/5 - 52\/5*g**2 = 0. What is g?\nAnswer: -3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/33)\/d*(d*d**18)\/d assuming d is positive.\nAnswer: d**(562\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5617168463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**2 + j**2 - 5 - 4*j**3 + 3*j**3 + 5*j. Suppose 0 = -5*l + 5*q - 45, -2*l + 0*l - 2*q - 6 = 0. Calculate p(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*j = -61*j + 9672 - 3048 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*(sqrt(325) + -1))**2.\nAnswer: -660*sqrt(13) + 11821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 8*g**2 - 4*g - 4. Is 25 a factor of x(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**2 + 192*r - 2304 = 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 0*k - 4*u + 116, -2*u = 4*k - 112. Suppose 8 + k = 5*v. Solve 2*y - v = -1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-8))\/(2\/(-4)). Suppose 3*m - 2*m = 3. Let u(n) = m*n + q - 3. Let r(j) = j. Give r(u(w)).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 11:42 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 82 (base 12) to base 10\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10608a (base 11) to base 16.\nAnswer: -294af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1173106*h**2 - 75*h + 4. Let f be u(-4). Round f to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 924 + -405. What is the smallest common multiple of p and 1384?\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8.581242 centuries?\nAnswer: 0.8581242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/5 - 108*z\/5 + 729\/5.\nAnswer: 3*(z - 27)*(z - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 492 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2339202363.\nAnswer: 3, 17, 83, 552611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 12*o**2 + 10*o - 12. Let d be a(-11). Let g be ((3 - 1) + -5)*(-2 - d). Solve -w - 1 = -g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + -33. Which is greater: -76 or n?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**4\/11 + 32972*m**3\/11 - 136058858*m**2\/11 + 1358116680*m\/11 - 3393232200\/11 = 0.\nAnswer: 5, 8238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (29\/(8700\/(-40)))\/2\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1055 (base 11) to base 9.\nAnswer: -1815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 7 = -4*k + 2*o, 8 = 4*k + 4*o. Suppose 0 = k*u + 1 - 4. Solve 0 = -5*q + 6 - u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40187*b - 77*b**3 + 40187*b.\nAnswer: -77*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 11:43 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.9 + 2.8. Let p = 0.23 + -15.23. Let w = l - p. Is 26 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*o - 9 + 11 - 2.\nAnswer: 79*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x + 5. Let p be m(0). Let b be (9\/(-8))\/(p\/(-3820)). Let u = 17249\/20 - b. Calculate the common denominator of u and -67\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345389453 to the power of 1\/2, to the nearest integer?\nAnswer: 18585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-10) + ((-328)\/3116 - 12029186\/(-190))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1376 + -936. What is the greatest common divisor of v and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1819714.\nAnswer: 2, 13, 17, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**3\/13 + 2*c**2 - 72*c\/13 = 0.\nAnswer: 0, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**4 - 22*p**3\/9 - 4*p**2\/3 + 4*p - 2. Let j(r) be the first derivative of b(r). Factor j(t).\nAnswer: -4*(t + 1)*(9*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -279.9889 rounded to one dp?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1344 and 1191120.\nAnswer: 4764480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**4 - 28*l**5 + 5*l**4 + 26*l**5 - l**5 + 2*l**5 - 2*l**5 + (-5*l**2 - 7 + 7)*(-6*l**3 + 3*l**3 + 4*l**3).\nAnswer: -8*l**5 + 11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 14. Suppose h*g = 27 - 21. Solve 5*z - 3*t = g*t - 5, 4*t + 4 = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4903696 (base 11) to base 15\nAnswer: -b3a7d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7*g = -60. What is the remainder when 29 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 3*z**5\/25 - 3*z**4\/20 - z**3\/5 + 3*z**2\/10 + 2. Factor g(b).\nAnswer: 3*b*(b - 1)**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 91, -0.06?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-28) - (-82)\/8. Solve 0*d - p = 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154889980.\nAnswer: 2, 5, 7, 61, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -1 - 1) + (-4 + 7 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from dzeemmj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58570494.\nAnswer: 2, 3, 9761749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 373875 by 6.\nAnswer: 124625\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 67146014521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365*s**3 + 365*s**3 - 1098*s**3 + 357*s**3.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**4 - j**3 + 5*j**2 - 2*j + 6. Let n(g) = -3*g**4 - 3*g**3 + 10*g**2 - 4*g + 10. Let k(s) = -3*n(s) + 5*o(s). Find a, given that k(a) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 6354?\nAnswer: -6356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2398 - -2538. What is the lowest common multiple of o and 98?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24056460?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1432994431 rounded to 3 dps?\nAnswer: 0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 3004151100841 and 0.6.\nAnswer: 3004151100841.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (23\/23)\/((-2)\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.24 - 0.15. Let v = 0.29 - u. What is the smallest value in -1\/5, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 3*x = 4, 7*x = 5*d - 43 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 64*a**2 - 3*a + 207. Let b be z(64). Calculate the highest common factor of 48 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 6*d**2 + 3*d - 4. Suppose -f - 4 = 9. Suppose 2*m + 20 = 5*m - 4*w, -2*m + 2*w = -14. Let a = m + f. Give l(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 185*m**6*n + m**3*n + m**2 + 12*n wrt m.\nAnswer: 22200*m**3*n + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4615602?\nAnswer: 2, 3, 17, 37, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37415*t = 37673*t + 7998 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 7. Let m(a) = 1. Let c(o) = 3*l(o) + 21*m(o). Let i(j) be the third derivative of j**5\/20 - j**2. What is c(i(s))?\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30161685 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1995*t**3 - 1952*t**3 + 0*t**5 - 3*t**5)*(-5 + 1 + 3)*(3 + 3 - 5)*(-4 + 3 - 2).\nAnswer: -9*t**5 + 129*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2)*1*-4. Suppose o*s + 3 = 1. Let t(x) = -x**3 - 5*x**2 - 8*x - 13. Let f be t(-4). Sort f, 0, s in decreasing order.\nAnswer: f, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99772 or 99780?\nAnswer: 99772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3830, 325, -3 in increasing order.\nAnswer: -3830, -3, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149879.\nAnswer: 67, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 27. Sort 0.06, d, -1.\nAnswer: -1, 0.06, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 8 = -2*p - 0*s, 3*p + 2*s = 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13285533?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42135 (base 8) in base 12?\nAnswer: a165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 23*i**2 + 1840*i + 40012. Determine g(-22).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 871, 3314, 7383, 13072, 20375, 29286?\n\"Answer: -u**3 + 819*u**2 - 7*u + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 y when three letters picked without replacement from gyvygly.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 273550?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(sqrt(84) + sqrt(84) + -1*sqrt(84)*-1)\/((sqrt(96)\/sqrt(4))\/sqrt(2)).\nAnswer: 2 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -671\/30 + 116\/5. Let x = 16 + -9. Let d be ((-34)\/119)\/(3\/x). Is d at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m + 41 = -5*z + 47*m, 8*z - m = -26 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -w - 10*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-3))\/(-2 - (-77)\/66). Suppose -d*f = 4*f - 2100. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 308660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/u)**(-20))**50 assuming u is positive.\nAnswer: u**2000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 6. Let x be w(4). Let s = 181 + -176. Suppose a = s - x. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -0.5, -9, 87108, -13 in descending order.\nAnswer: 87108, -2\/13, -0.5, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + 2 - (629 + -630)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-1 + -2 + 3). Suppose 2*g + 4 + 24 = x. Let h = 10 + g. Sort 0, h, 2.\nAnswer: h, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134496 divided by -48?\nAnswer: 2802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 7. Suppose -q*x + 18 = w, w - x + 10 = 2*x. Which is the biggest value? (a) w (b) -0.2 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from syppudxs. Give prob of sequence dsxy.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 11:01 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7780 = 2131. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (76\/(-3))\/(16\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**5\/60 + 2*p**2. Let z(x) = -37*x + 83*x - 46*x + 4*x**2. Calculate w(z(m)).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 54. Suppose -a - 2 = 4*q, 6 = -q + 1. Let k be g(a). Solve -z + 3*z + 2*j + k = 0, -11 = 3*z - j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 48126*u**2. Let h(o) = 58*o. What is h(r(x))?\nAnswer: 2791308*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 - 898392*r**2 + 363 + 898392*r**2 + r**3 to the form b*r + f*r**2 + w*r**3 + y and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l - 57. Let v(b) = -18*b + 163. Let i(r) = -17*c(r) - 6*v(r). Let o = -9 + 3. Let a(y) = -7*y + 10. Let d(x) = o*i(x) - 5*a(x). Give d(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 980.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -223.\nAnswer: 2\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2 + 5. Suppose t + j = 2*j, 0 = 4*t - 5*j - 5. Suppose 0 - 6 = -3*h. Let p(a) = -2*a**2 + 2. Determine h*b(u) + t*p(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 5*h**2 + 5*h. Suppose -6*z = -3*z. Suppose -6 + z = -3*k. Suppose 25 = 3*c + k*c. Let l(p) = 2*p**2 - 2*p. Give c*l(q) + 2*j(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16 + -23)*12\/7. Let p(s) = s**3 + 11*s**2 - 12*s + 10. What is the remainder when 59 is divided by p(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201110 (base 3) to base 4\nAnswer: -20031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**0\/v))**48*((v\/(((v**(1\/4)*v)\/v)\/v)*v)\/v)\/v*(v**(-1)*v)\/v)**(-43) assuming v is positive.\nAnswer: v**(-16469\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -219 (b) 1\/8 (c) 1\/4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79309\/1866 + 2\/933. Suppose 5*q = -8 - 7. Find the common denominator of a and ((-5)\/q)\/(21\/27).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/16 and 27\/324*(-1 + 258\/(-4)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-64)\/(-10)*(9 + 1). Let b(f) = 2086*f + 10542. Let m be b(-5). What is the highest common factor of g and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 + 5*i**2 + 46*i**2.\nAnswer: 58*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5 = -3*s - 0*k, -4*k - 3 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 2120?\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**4\/6 - 7. Factor m(b).\nAnswer: -2*b**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 2*y + 0*y)*(-2 + 2 + y**2) + (2*y - 3*y + 3*y)*(2*y**2 + 3*y**2 - 3*y**2) + y**3 - 3*y**3 + y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**3 + 3*c**2 - c + 5. Let o(r) = r**2 - r - 1. Let p(k) = -2*k**3 - 8*k**2 + 7*k + 3. Let m(v) = 6*o(v) + p(v). What is -3*f(d) - 5*m(d)?\nAnswer: -2*d**3 + d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - j = -0*j - 76, 55 = -4*o - 5*j. Let p = o + 17. Let h be 5 - 3 - (4 + 1). Put h, 0, p in descending order.\nAnswer: p, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**2 - 2*l**2 + 8 + 4*l**2 - 1 to h*l**2 + i*l + q and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/26, -23, -1\/6, -1, 12?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1233 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*l - 253 = 22*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391 + 163 = 19*t. Let y be 6 + ((-6)\/(-36) - (-65474)\/t). Round y to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4 - 1. Suppose 5*x = 29 - 9. Let n = 1.12 - 0.92. Which is the closest to n? (a) -4 (b) x (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 123?\nAnswer: 5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5*4\/(-8))\/((-3)\/(-6)). Solve 2*h - w = 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-7)\/(v\/v**29) assuming v is positive.\nAnswer: v**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**4 + 7*x**3\/3 + x**2\/2 - 3. Let u(c) = -15*c**2 - c**3 + 41*c**2 - 27*c**2 + 2*c**3. Determine q(h) + 5*u(h).\nAnswer: h**3 + 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.438 to 2 decimal places.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/6 (b) 4 (c) 0.5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 10:17 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477567?\nAnswer: 7, 13, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, a: 4, d: 5, t: 2}. Give prob of sequence aabb.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12392 + b2?\nAnswer: -122a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(11\/4)\/u)**47*(u**(-2\/7))**(1\/19) assuming u is positive.\nAnswer: u**(68753\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5343 (base 9) in base 15?\nAnswer: 126c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (126\/(-28))\/((-3)\/8). Suppose 5*g - 17 - 3 = 0. Which is greater: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 532104, 532098, 532092, 532086, 532080, 532074?\nAnswer: 532068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16.505678 times -5\nAnswer: -82.52839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times -2\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0060869 rounded to 5 decimal places?\nAnswer: -0.00609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/71)\/i)**16*i\/(i\/(i*i*i\/(i*i**(-3\/25)*i)))*i**(-9\/2) assuming i is positive.\nAnswer: i**(-70399\/3550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -437*q**4\/12 + 493*q**3\/6 + 604*q. What is the second derivative of d(u) wrt u?\nAnswer: -874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + sqrt(720)*2))**2 - (5 + sqrt(720) + (-3 + 4*sqrt(720))**2 + sqrt(720)).\nAnswer: 8904*sqrt(5) + 93046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**5\/60 + 6*h**2. Let t(a) = -6*a**2. Calculate -33*s(x) - 6*t(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13667 and 632.\nAnswer: 109336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6 - 1 + 0*l**2 - l**3 - l**2. Let q be p(0). Let j(s) = 2*s**2 + 12*s + 14. Let y be j(-5). Which is the nearest to 1? (a) y (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 26*l**2 - 72*l + 375. What is w(-22)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5655 and 3120.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 - 3*v + 3*v + (5*v**2 - 5*v**2 - 2*v**2)*(2*v - 2*v + v) - 3*v**3 + 4*v**3 + 2*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdg when three letters picked without replacement from {d: 1, g: 3, m: 1, i: 1, y: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - 2.98. Let d = -699 + 699.03. What is the biggest value in 0, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25009125 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 + -93. Let i(t) = -m + 21 - 8*t + t + 18. Give i(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 78*a + 473. Let u be o(-6). Let t(y) = y - 11. Give t(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1888, 14741, 49562, 117337, 229052, 395693?\n\"Answer: 1831*o**3 - 2*o**2 + 42*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29115035 and 485?\nAnswer: 29115035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**3 + 10*o**2 - 15*o + 2. Let g(x) = -2*x**2 + 3*x - 1. What is 15*g(m) + 3*r(m)?\nAnswer: -15*m**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 505\/7 - 72. Let l = -0.04 + -0.36. Sort l, 5, n in decreasing order.\nAnswer: 5, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 0 + 0*w + 3. Let t be d(-7). Put t, 2, -3 in ascending order.\nAnswer: t, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6470, 20162, 41076, 69212, 104570?\n\"Answer: 3611*m**2 + 2859*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 188042657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13244.\nAnswer: 2, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.68802km to nanometers.\nAnswer: 5688020000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*k**2 + 42*k**2 + 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(44)\/sqrt(4)))\/(sqrt(80)\/(sqrt(10)*1 - sqrt(10) - sqrt(10)))*-3.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 8532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-15))\/((-1683)\/510). What is the third biggest value in -4, 2\/15, -0.052, h, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -52. Let x = 6018 - 6004. Let a = z - x. Solve -5*c - a + 31 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**3 + v**2 - 2*v + 1. Is g(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 987 and 9681.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 26?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**4 + 197460*n**3 - 3476967066*n**2 + 7495672629060*n - 4322989797997563 = 0. Calculate n.\nAnswer: 1197, 31713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1)\/(5\/(-25)). Let b(f) = f**2 - 3*f - 6. Let a be b(q). Suppose 0 = -4*j - 3*x + 5, -4*x - 14 = -4*j - j. Solve 0 = 2*y + a + j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/324 and 85\/18?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*w + 32 = 0, -5*t - 4 = 3*w + 1. What is the fourth biggest value in t, 29, -1, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 591*a + 15*a**3 + 8*a**3 - 24*a**3 + 1156*a as v*a**2 + k*a**3 + u*a + s and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = u - 1507672, -233*w + 2*u + 1005128 = -231*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13705 - -13705.3. Which is the second smallest value? (a) v (b) -1\/86 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 - 0*(-1)\/(-2). Let d = 11 + i. Suppose -w + d*g + 4 = -5, -36 = -4*w - 3*g. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0164621 minus -3340.6?\nAnswer: 3340.6164621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40787500 and 17875?\nAnswer: 448662500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3070*n + 582*n - 7*n - 72355 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*g - 9 = -68*g. Let x(r) = -r**3 - 8*r**2 + 7*r - 10. Let l be x(g). Let i(y) = -y + 16. What is i(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 6:34 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -13454662705 and 28.\nAnswer: -13454662677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/7)\/(r*r\/((r**(1\/7)\/r)\/r))*(r*r**(3\/4))\/r**(-8) assuming r is positive.\nAnswer: r**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -44*d**3 + 23*d**2 - 2*d. Let f(i) = -44*i**3 + 24*i**2 - 3*i. Let x(q) = -2*f(q) + 3*r(q). What is the third derivative of x(g) wrt g?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1105900, -1105904, -1105920, -1105954, -1106012, -1106100?\nAnswer: -1106224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.408 (c) -2\/9 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 125 (c) -285\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34, 85, 180, 325, 526, 789, 1120?\n\"Answer: q**3 + 16*q**2 - 4*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18178 is divided by 83.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -10 + 0*a - a + 12. Determine s(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -241267398722699 - -0.4.\nAnswer: -241267398722698.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -697792, -1395585, -2093378, -2791171, -3488964, -4186757?\nAnswer: -4884550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 10*b - 115, -45*b + 4 + 19 = -3*d - 48*b - 28 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130121111321 - 3?\nAnswer: -130121111324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u - 1. Suppose f = -u*a + 165, 3*a + 4*f + 140 = 5*a. What is the greatest common factor of a and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (44 - -12) - (61 + -62 + 1 + 7)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68a6 (base 14) to base 11.\nAnswer: -12726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 627 and 1947?\nAnswer: 36993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 0*h - h)*(0 - 1 - 9)*(4 + 7 - 4)*(-3 + 0 + 4) to k*h + u and give k.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3542112 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 6*y. Let o = -49 + -11. Let s be 2\/6*16\/o. Is y > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22287423.\nAnswer: 3, 131, 56711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2899738 = 2899738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 8*w - 5. Let x be d(9). Solve 0 = -x*m - j + 1, -4*j = -4*m - 3 - 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-6)\/(-8))*24\/16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/5523 and 31\/3808?\nAnswer: 3004512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*a + 6 + 21*a - 55*a)*(2*a + 0*a - 4*a).\nAnswer: 4*a**2 - 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dedddedddee. Give prob of picking 4 e.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49955, 49958, 49963, 49970?\n\"Answer: v**2 + 49954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 61*v**2 - 5*v - 282. Give q(-61).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + -1*-4*(-2 + (sqrt(1377) + -2 - sqrt(1377)) - sqrt(1377) - (sqrt(1377) + (-4 + sqrt(1377)*-2 - sqrt(1377)))))**2.\nAnswer: 22027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*r + 19, 4*r - 4 = -5*y - 15. Let u be (68\/(-8))\/1*(0 - -2). Is y greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 10*b**2 + 18*b + 80. Let w be 0 - (11 + (5 - 5)). Let m be k(w). Solve q + m*q = -20 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 2906198 and 2102356?\nAnswer: 98810732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 7*x**2 + 6*x - 2. Let z be q(-6). What is the least common multiple of 5 + 3 + -4 - z and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 560. Let s(u) = 10*u. Calculate v(s(a)).\nAnswer: 100*a**2 - 560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-4 - -3 - 2) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3057 is divided by 602?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 14*g - 10. Let t be i(-13). Suppose -53 = -t*y + 31. What is the highest common divisor of y and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, n: 2, j: 3, f: 7}. What is prob of picking 1 f and 2 j?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 129.\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = t - 1. Let c(b) = -3*b**2 + 3*b - 2. Let v be c(t). Is (-2)\/((v\/(-34))\/(-2)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 9) to base 3\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4))**(-2\/83)\/(q**1\/q)**(-11\/4) assuming q is positive.\nAnswer: q**(-1\/166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 1392080*j**2 + 16704420*j - 50112720.\nAnswer: 5*(j - 278404)*(j - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + 9*r. Suppose 24 = -2*c - 2*c. Let z be b(c). Suppose -5*i + 0*m + z = m, 18 = i + 5*m. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -237a1c?\nAnswer: -237a1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i - 3*f + 4 = -25*i, -4*f + 32 = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49550651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 4*p + 1. Suppose -5*q = -3*r + r + 41, -3*r - 51 = 5*q. Let g be (-8 - (q + 3)) + 5. Determine h(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 11*v**2 - 12*v + 20. Let s be (-112)\/28 - (-13 - 1). Let r be g(s). Let c = 3 + -4. Sort 4, c, 1, r.\nAnswer: c, r, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**2\/s)\/s)**21 assuming s is positive.\nAnswer: s**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251 a factor of 11982240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3661*b + 296530. What is s(81)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvy when three letters picked without replacement from vqyuncyq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(3025) - -2*sqrt(3025)*4))\/((sqrt(660)\/sqrt(176) - sqrt(60))\/(sqrt(108)\/sqrt(81))).\nAnswer: 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/4 + 32079*y + 343020747.\nAnswer: 3*(y + 21386)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 131 + 159. Let s(k) be the second derivative of -7*k**3\/6 - k**2\/2 + k. Is 15 a factor of s(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**3\/3 - n**2 + 6*n + 245. Calculate a(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 1\/6 (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11297 + 17383. Suppose 4*a = 16, 0 = 2*o + 5*a - a - q. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - -24?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -381, -874, -1367?\n\"Answer: -493*y + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*j - 29 = 0, 2*v - 3*j + 16 = 37. Suppose -v = -5*x - 2. Suppose -3*w + x*a - 7*a = -19, 2*a + 2 = 2*w. Solve w = o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4122196, 8244377, 12366558, 16488739?\n\"Answer: 4122181*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-20) - (-694)\/40. Let w = -17 + y. Which is the closest to w? (a) 0.4 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 11:26 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 47. Suppose -5*l - 16 = 3*i, -4*i - 17 = h*l - 4. Solve -7*x = -i*x + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 337 - 53. Let v be (14\/3)\/((-10)\/285). Let a = g - v. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 + -262 - (-13 - (0 + -2))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 2098, 1 in increasing order.\nAnswer: -48, 1, 2098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42108, -84049, -125990, -167931, -209872, -251813?\n\"Answer: -41941*s - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.46 - -18.66. Let l = -3 - -2.8. Which is the nearest to 1\/5? (a) l (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 1055423154?\nAnswer: 1055423151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {n: 2, k: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 95093701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -50*b**3 - 8*b**2 + 2*b + 41. List the prime factors of v(-5).\nAnswer: 3, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-269)\/(-2152))\/(125\/8)*3*2\/(-3)?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.024 and -773.514.\nAnswer: 18.564336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/5 - 386*v**2\/5 - 3686*v + 18818\/5 = 0. What is v?\nAnswer: -97, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 478908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46077, 194386, 441567, 787620?\n\"Answer: 49436*p**2 + p - 3360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4920, -9842, -14764, -19686?\nAnswer: -24608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34710581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 600175151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 x when three letters picked without replacement from xeexexetxxxextxx.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 2*d**2 + 3*d - 3. Let j be r(3). Let z be ((-2)\/(-6))\/((-4)\/(-8 - -4)). What is the fourth biggest value in j, 1, z, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(-2))\/l)\/(l\/(l\/(l\/l**10)*l*l)))**30)**(20\/7) assuming l is positive.\nAnswer: l**(5400\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 34190 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 46544.\nAnswer: 46544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12060861 divided by -10\nAnswer: -12060861\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 50*l + 8*l - 165. Solve -c - 26 = -5*z - 10, 8 = l*c - z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(65)*-2 + sqrt(65))\/(-3*sqrt(5)*-3 - sqrt(5)).\nAnswer: -3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (60 - 18) + (67 - 84)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-6)\/15 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001591 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 1079 - 4079 = 0. What is the third derivative of -g + t*g**4 + 25*g**5 - 749*g**4 + 13*g**2 + 2*g**2 wrt g?\nAnswer: 1500*g**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6689.\nAnswer: 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32713 divided by 1246?\nAnswer: 32713\/1246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v, -3*v + 2*v + 2796 = 4*g. Is 85 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-4 - (4 + -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*j**3*v - 1574854*j**3 + 17*j**2 + 7062099*j*v wrt v.\nAnswer: -3*j**3 + 7062099*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -41 (b) -4 (c) -4\/5 (d) -5 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 3718 and 3717 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -19*m**2 - 3 + 7*m**2 + 5*m**2 + 5*m + 5*m**2. Determine g(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304 + -40 + -208 + 82.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10180, 20363, 30546?\n\"Answer: 10183*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31291 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 19 + (-18 + 1 - 2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1660 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -525, -509, -491, -471, -449?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*y + 3. Let b be (-5)\/(-10)*(231 - y). What is the greatest common factor of b and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - 0.2. Let d = -5 - -1. Let v = -27\/11 + 21\/11. Which is the closest to 2? (a) r (b) d (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 1. Let v be w(-2). Let k = -19 - -18.8. Which is the closest to 1? (a) 4 (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 41. Let n(x) = -150*x + 24 + 144*x - 74*x. What is the units digit of n(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.335?\nAnswer: -0.0335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 2 - (sqrt(17) - -1*(sqrt(17) + -3)))**2.\nAnswer: 20*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 4332.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2068335?\nAnswer: -2068338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 10:47 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 5*v - 5. Let g(j) = -36*j**2 + 9*j + 22. Let n(z) = -17*z**2 + 5*z + 11. Let u(q) = -6*g(q) + 13*n(q). Give -7*b(f) - 3*u(f).\nAnswer: f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((-20)\/(-12) + -2). Suppose 5*y - 4*y + 11 = 0. Let u = h - y. Which is greater: u or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**3 + 22*w**2 + 18*w - 9. Give j(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**8)\/((r*r\/(r*r**(1\/5)))\/r))\/(r\/r**1)**(23\/6))**(1\/2) assuming r is positive.\nAnswer: r**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/582446 and -5\/1306952?\nAnswer: 53585032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**4\/2 - 10*j**3\/3 - 4*j**2 + 4*j + 65. What are the prime factors of b(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2776 - 13084 = 793*m for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1883, 3995, 6107, 8219, 10331?\nAnswer: 12443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 r, and 1 s when four letters picked without replacement from rsrjjrrrsjrrrrrsrr.\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1934 + -1.24?\nAnswer: -0.0466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -25*28\/15*(-615)\/(-820)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1271 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, 0.05, 3\/2, -4 in descending order.\nAnswer: 12, 5, 3\/2, 0.05, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 99 + 32321*s - 16 - 46 - 37 + 4*s - 3*s - 3*s + (-3 + 0 + 4)*(s + s - 4*s).\nAnswer: 32317*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -550694\/3 - -183565. Let p be (-4)\/(-6)*(-6)\/26. Sort w, 8, 0.1, p in increasing order.\nAnswer: p, 0.1, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.4? (a) 5 (b) -5 (c) 1\/2 (d) 2\/13 (e) -14\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9301.9 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3*h = -6, -5*v + 55*h - 52*h = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + -3*((sqrt(2) - sqrt(18)*1)*-1 - (sqrt(4) + (sqrt(24)\/sqrt(2))\/sqrt(3))\/sqrt(2)))**2 + 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2919, 5.81, -0.4?\nAnswer: -2919","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a week?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = -l, 2*r - l = -554. Let y = -26 - -17. Calculate the remainder when (y\/(-6))\/((-6)\/r) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.517263 and 1?\nAnswer: -17.517263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-1.1.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 14. Let r = y - -8. Let f be 5*(0 + 3 - 2). Solve -5*o - q - 3 = 0, -3*o = -2*o + r*q - f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 59042, 236169, 531398, 944741, 1476210, 2125817, 2893574, 3779493?\n\"Answer: 2*j**3 + 59039*j**2 - 4*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 82. Let n = -37 - a. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k + 3 - 10 + 1. Let l be v(4). Suppose l = -0*f + 2*f. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -8.42. Let s = j - 0.08. What is the second biggest value in -0.3, 0.5, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 20 = 4. Suppose 4*w = 2*w + s. Suppose 2*j - 16 = -4*m, -m - 16 = -2*j + w*m. Which is greater: j or 7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o + 42. Calculate m(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195937858 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -1\/67, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - k - 3 + 0*k + 0*k + k - k + 3*k - 4*k + k + 2*k - 2*k + (-4*k + 3*k + 3*k)*(2 - 3 + 0))*(3*k + 12*k + 3*k) in the form s + p*k + f*k**2 and give f.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**4\/7 + 144245*i**3 - 2271877*i**2\/7 + 504862*i\/7 = 0 for i.\nAnswer: -252431, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -279 - -233. Let q = y - -46.6. Which is the nearest to 2? (a) 2\/15 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**3 + 2*n**2 + n. Suppose -2*l = -l - 6. Let p be (2\/l)\/(4\/(-12)). Give d(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-8)*-2*2. Which is smaller: -6 or q?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 136 - 164 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 113202?\nAnswer: 113203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -79 + -455889?\nAnswer: -455957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6252982, -6252984, -6252986, -6252988, -6252990, -6252992?\nAnswer: -6252994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1485)\/(-231)*(-5)\/((-90)\/(-42))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-55)*(-36)\/(2664\/(-7733)).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 113195335 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -453989?\nAnswer: 453985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 235*o + 3235. Calculate i(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13252615 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -108*h**3 + 22*h**2 + 28*h + 155. Is r(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**4 - 2205*h**3 - 17892*h**2 + 44580*h = 0.\nAnswer: -10, 0, 2, 743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -1\/7, -0.2, -0.6 in descending order.\nAnswer: -1\/7, -2\/11, -0.2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50.3 + 50. What is the closest to f in -6\/7, 1\/5, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwcazzazza. Give prob of sequence aza.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, 17, -4, 0.5, -1, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2724723*v**2 + 1155704*v?\nAnswer: 5449446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051843 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234427?\nAnswer: 359, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236411*j = 236420*j + 342 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -29*n**2 - 35658. Let l(x) = 3*x**2. Give s(l(y)).\nAnswer: -261*y**4 - 35658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -125, -122, -117, -110?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 8*p**2 + 7*p + 9. Let i be q(9). Let n be -15 + 1 + 0 + -1. Let k = i - n. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.05, 5, 5\/8, 70?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 - (1 + 3 - 2). Suppose -4 = -5*a - 39. Which is bigger: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -7 - -21) + -60 + (-137 - -142)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 40 and -1961022.\nAnswer: -1960982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1730, 1939, 2150, 2363, 2578?\n\"Answer: o**2 + 206*o + 1523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 483063678 divided by 6.\nAnswer: 80510613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17398793*f**3 + 15*f**2 - 579282?\nAnswer: -104392758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4+4889\nAnswer: 4885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -11*r**2 + 18*r + 5. Let w(v) = 6*v**2 - 9*v - 3. Let k(u) = -4*p(u) - 7*w(u). What is the hundreds digit of k(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15, -44, -93, -168, -275, -420, -609?\n\"Answer: -a**3 - 4*a**2 - 10*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - -4*(-183)\/6. Let d be n\/(-6) - 9\/54. Solve -8*k - 4*i + d = -3*k, -20 = -5*k - 5*i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -221, 0.1, 5 in decreasing order.\nAnswer: 5, 0.3, 0.1, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/9 (b) -1 (c) 207\/44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + 11. Let l = t + -22. Let z = 52 - l. What is the greatest common divisor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/193154 + 109421753\/2317848. Let n = 136\/3 - f. What is the common denominator of n and -91\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.0075 + 1.9925. Let l(j) = -j**3 - 2*j**2 - 3*j - 3. Let w be l(-2). Suppose -2 = 5*z + w. Which is the closest to z? (a) 3\/2 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Suppose 0 = f*q - 1 - 7. What is the third derivative of m**6 - q*m + 4*m + 3*m**2 wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44888247 and 312.\nAnswer: 4668377688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15b4 - -1?\nAnswer: -15b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.1 - -0.9. Which is the third biggest value? (a) k (b) 3 (c) -5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 4*o + 2*o)*(-2 + 2 - 1) - 1352 + 1352 + 38*o to n + p*o and give p.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23239982407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 588, 1169, 1740, 2301, 2852?\nAnswer: 3393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18.07, 9, -3\/7, 7\/8, -2\/7, 0 in descending order.\nAnswer: 9, 7\/8, 0, -2\/7, -3\/7, -18.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.014 + 24463519085\nAnswer: 24463519085.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 14*b**3 + 0 + 7 + (-2 + 2 + 2*b**2)*(-b - 2*b + 4*b).\nAnswer: 16*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -531 - -996. Suppose 467*g = y*g + 1464. Calculate the least common multiple of g and 18.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-3 + (-2 - -7)). Let a(r) = 3*r - 4. What is a(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p*t*u**2 + 338442*p*t*u + 2*p*u**2 + 79*p*u - p - 2*u - 15 with respect to t.\nAnswer: p*u**2 + 338442*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 137*z**2 + 10306*z + 1530. Give s(191).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*n**4 + 13*n**3 - 234*n + 3 wrt n.\nAnswer: -456*n**2 + 78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 - -67. Suppose 5*v + 2 = 4*g, 0*v + 8 = 4*v. Let t(h) = 2*h**2 + h - 3. Let p be t(g). Solve 4*z + 0*z = -4, n*d = 2*z - p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654780 is divided by 38504?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30262.\nAnswer: 2, 15131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -15, -2, 0, 82.\nAnswer: -15, -2, 0, 21, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 75.1 and 0.281743.\nAnswer: 21.1588993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 47?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.2 - -8. Put -10, -0.4, r in increasing order.\nAnswer: -10, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m = -128 - 37. Let c = -11 - -13. Put -6, c, m in descending order.\nAnswer: c, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 = -2*v - d, 36 = -d + 38. Calculate the highest common factor of 183 and v.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -623593 - -0.2.\nAnswer: -623592.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*k**2 - 16*k**2 + 5*k**2 + (62 - 4*k - 62)*(2*k + 2*k - 5*k) + 3*k**2 - 4*k**2 - 2*k**2 in the form o*k**2 + a + z*k and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*4*2\/4. Suppose i - 14 = 25. Suppose 9 = -5*k + i. Solve 5*v + k = y*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.30581 + 0.21581. Put t, 0.3, -5, -4, 22 in ascending order.\nAnswer: -5, -4, t, 0.3, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**4\/3 + 4*j**3\/3 - 4033*j**2\/3 - 50248*j\/3 + 38860 = 0.\nAnswer: -58, -15, 2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 15. Let q be (-16)\/j + 4\/10. Suppose -3*u - q*u + 235 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87944504.\nAnswer: 2, 1753, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 6334662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -2*x**4 + 5*x**3\/3 + 2. Find the third derivative of r(s) wrt s.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2976554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1026, -1869, -2712, -3555, -4398?\nAnswer: -5241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 + 19*a**2 - 6*a + 7. Let k be p(9). Let n = 56 - k. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 2*b - 2. Let i(g) be the third derivative of g**6\/40 - 5*g**4\/24 - 5*g**3\/6 + 8*g**2. What is -6*i(o) + 15*z(o)?\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 20*a - 45. Let c be j(-16). Suppose c*g - 21*g = 0. Is -4\/11 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 44 = 6*r. Suppose -2*u = r + 33. Let l = -20 - u. What is the second biggest value in 0, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 2, 0 = 2*p + 5*t - 8*t + 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from eeev?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 1284732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {k: 5, u: 15}.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 62*x**2 - 24*x - 23. Let c be n(-1). Calculate the highest common divisor of c and 1008.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62.3 - -62. Sort -4, x, -0.2, -2\/5 in decreasing order.\nAnswer: -0.2, x, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -21\/44161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -10*d - 224. Let f = -32 - d. Suppose h - 229882 = 4*z + 22117, -3*z - h - 189001 = f. Round z to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 9*w + 21. Let d be j(11). Let v = -582\/5 - -116. Is v at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -16 - (-1*3 + 1). Let q be 1*2 - o\/(-8). Is -5 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*u = -20. Let g be (-8)\/u*4\/24. Suppose 2*x + 2 = -0*x. Which is smaller: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17944386 by 2.\nAnswer: 8972193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.174511+35\nAnswer: 34.825489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.41795043 rounded to 1 decimal place?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 - 63093. Let f(g) = g**2. Determine p(f(v)).\nAnswer: 3*v**4 - 63093","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 18045*l - 36070.\nAnswer: -5*(l - 3607)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, s: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtvftfm. Give prob of picking 1 v and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57516 is divided by 2500?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -53362, -53361, -53360, -53359?\n\"Answer: m - 53363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214136189.\nAnswer: 31, 6907619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6395444 - -233.3186856. Let k = 222.958233 - s. Let x = 11 + k. What is x rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 1 = -3*j, -5*j + 3*n = -7 - 0. Let t(v) = 6604*v**2 - 2*v - v + 2*v - 6603*v**2 + 3. What is t(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -22 (b) 120 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-350)*30\/(-4)*(-18)\/162?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 349 - 348.9916. Let o = 1.8916 + l. Put 0.3, o, -1 in descending order.\nAnswer: o, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - -6 - (1 + -2). Let v = 6 + -9. Let t = -3 - v. Which is the third smallest value? (a) t (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1468 times 257\nAnswer: -377276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a4 + -14?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4997134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or 30152?\nAnswer: 30152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - ((-14)\/(-7) - (0 - -1)). Let z(u) = u**3 + 14*u**2 - 31*u + 15. Let p be z(-16). Which is the nearest to -1? (a) p (b) -2\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 38. Which is bigger: p or -8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56658440 divided by 11331688\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -11. Let g be (189\/3)\/(z\/4). Let o = g + -10. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/780 - 1397\/70 - -17.\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13604729?\nAnswer: 53, 107, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 - 1486 + 1486 + 136*v**2.\nAnswer: -4*v**3 + 136*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r = -41 - 30 + 121 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 + 227. What is the highest common divisor of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390 and 360?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - -3.4. Suppose 5*k = -m - 11, -2*k = -m + 3*m - 2. Let u be (-32)\/(-18)*(-3)\/(-4). What is the nearest to k in u, -2\/13, g?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 17 - 37 = -11*i. Let o(r) be the second derivative of -3*r - 3\/7*r**2 - 1\/42*r**i + 4\/21*r**3 + 0. Factor o(m).\nAnswer: -2*(m - 3)*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1.7 (b) -20 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/559 (b) -1 (c) -4790 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31c + -5?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**3 + v - v)*(v - 2*v + 2*v) + 9*v**2 + 9*v**4 - 4*v**4 - 7*v**4 in the form j*v + y*v**2 + o*v**3 + w*v**4 + u and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5 + 10. Let c(a) = 2*a + 14. Let d be c(h). Suppose d*k = 2*w + 6, -k = -3*k - 3*w + 7. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39613935 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -89. Suppose 6*w + 3*p - 15 = 3*w, -3*w + y = -3*p. Find the second derivative of 4*j**2 - w*j + j + 2*j wrt j.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2588)\/(-34) - 25\/(3825\/18). Let g(z) = z**2 + 3*z + 5. Let n be g(7). Which is smaller: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 212842*w + 191151 with respect to w.\nAnswer: 212842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63.25 + 63. Let n = 0.2543 + d. Round n to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03269 plus 3?\nAnswer: 3.03269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19507097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*n = -128*n + 16. Suppose n*i - 2*a - 48 = 0, -4*i = -0*i + 5*a - 34. Solve 1 = 4*d - i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4170)\/556*1*4\/(-6). Put f, 1199, -5 in decreasing order.\nAnswer: 1199, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -22*r**2 - 1147*r - 1287. What is j(-51)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 + 5*w - 4. Let s(f) = -4*f**2 - 6*f + 5. Let x(v) = 5*a(v) + 4*s(v). Let j be ((-2)\/(-12))\/(56\/(-336)). Determine x(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 63, 96, 147, 222, 327, 468, 651?\n\"Answer: m**3 + 3*m**2 + 17*m + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/100930 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16, 28, 42, 58, 76, 96, 118?\n\"Answer: b**2 + 9*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15163.8 - 15164. Put -13, z, -25\/4 in descending order.\nAnswer: z, -25\/4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v = -2*y + 178, -4*y = -5*v - 443. Let l = -17 - v. Suppose -2*s = -5*z + 36 + 6, -l = -5*z - 5*s. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**5)\/s**(-1\/5)*s**(-7)*s\/s**4 assuming s is positive.\nAnswer: s**(-69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 12. Let u = -5 - -7. What is the biggest value in u, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2851827*i**4 + i**3*m - 192*i**2*m + 60*i**2 + i*m - 2*i - 28*m + 2 wrt i.\nAnswer: -68443848*i + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 500 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*v + r + 5, -4*r + 12 = v. Let a(y) = -3*y + 13. Let l(h) = -2*h + 7. Let z(k) = 3*a(k) - 5*l(k). What is z(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -8. Let g = -5 - t. Which is the third smallest value? (a) 1 (b) 3\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by (4 - (6 - 2)) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2 + 234348*p + 4576582092 = 0.\nAnswer: -39058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 342*u**2 + 4607*u + 4926. Give h(-328).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -36\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(-11\/7)\/(z**(-1))**(-7) assuming z is positive.\nAnswer: z**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4459783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -34. What is the third derivative of -2*d**6 - 3*d**2 + d**2 + 6*d**6 + 0*d**q wrt d?\nAnswer: 480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2168491 = 4*r - 1172353. Let h = 1234789 + r. Suppose 3*i = 2*i + h. What is i rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q**2 + 97*q - 15. Let l be c(12). Sort l, 1\/117, -5 in increasing order.\nAnswer: -5, l, 1\/117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 85412 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20.9 + 21. Is g < -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -377, -9, 7, 2 in ascending order.\nAnswer: -377, -9, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*j + 21020, 48*j - 53*j + 4*t + 26301 = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 355.9 to the nearest 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3*-5)\/(-223*443\/296367).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 3:19 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 16*m - 4. Let y be p(5). Is 1\/((2\/y)\/((-35)\/(-14))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*b = -95, -3*x - 5*b = -2*x - 122. What are the prime factors of x?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 1\/7 (c) 31 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39546821681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 110543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132*d**3 + 3771*d**2 + 864*d - 25 wrt d?\nAnswer: 792*d + 7542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 20. Calculate the remainder when 22 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 64, 132, 212, 310, 432, 584, 772, 1002?\n\"Answer: q**3 + 61*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/159 + 0 - 0. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 216398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**15)\/((s*s**(1\/15))\/s) assuming s is positive.\nAnswer: s**(239\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97654060 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13355136, -26710274, -40065412, -53420550, -66775688?\n\"Answer: -13355138*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Let m = 238 + -222. What is the greatest common divisor of m and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 14. Suppose -20 = 4*g + 12. Let r be u(g). Suppose o + 30 = r*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032366935 rounded to 5 decimal places?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.064 + 144746724396.\nAnswer: 144746724396.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183488*m**2 - 366992*m**2 + 183488*m**2.\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, t: 1, v: 2, e: 3, g: 3}. What is prob of picking 1 x, 1 t, and 2 g?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16346.2971 hours in weeks?\nAnswer: 97.2993875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12062 + 12398. Calculate the remainder when h is divided by 41.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 b when three letters picked without replacement from {b: 11, z: 2}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.211 - -0.1?\nAnswer: -0.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*31.6.\nAnswer: -284.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 77398 + -6?\nAnswer: 77392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.06, 1.7, 6?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-256)\/34 - (-6488)\/(-13787).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 614 and 2796463?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 1. Let i = 0 - -22. Let w = -28 + i. Let f be (12\/5)\/w*5. What is l(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 214, 321, 428, 535?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/9 - 1048*k\/3 - 137288.\nAnswer: -2*(k + 786)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 - 868 - 864 + 6279 - 867 - 3680.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1)*((-496)\/(-80) - 6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -48859348, -97718682, -146578016?\n\"Answer: -48859334*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.32306mg to micrograms.\nAnswer: 41323.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**4 + n**3 - n**2 + 1. Let b(p) = 5*p**4 + 4*p**3 - 4*p**2 + 5*p + 4. Let g(l) = -b(l) + 4*z(l). Find the second derivative of g(o) wrt o.\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**6\/30 - 7*y**5\/100 - y**4\/30 - 16*y + 17. Let z(c) be the first derivative of m(c). Suppose z(t) = 0. Calculate t.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 8 = -5*f, -3*x - 2*f + 8 = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 12:31 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -43 - 4*l**2 - 253*l**3 - 10*l + 251*l**3 + 3*l**2. What are the prime factors of o(-7)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 2, n: 1, u: 1, h: 1, a: 2}. Give prob of sequence hun.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i. Let l(s) = 15*s**2 + 2. Calculate y(l(p)).\nAnswer: 75*p**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 0*f - 4*f + (-1 + 2 + 2)*(0 + 0 - f) + (-1 - 2 + 4)*(2*f + 0*f - 4*f).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121560 (base 7) to base 13.\nAnswer: -a179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 1\/4, 28285 in increasing order.\nAnswer: 1\/4, 45, 28285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.49 (c) -599\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x - 2*b + 32 = 0, -3*b + 33 = -5*x. Let k be ((-16)\/6)\/(2\/x). What is the common denominator of 876\/(-90)*(-6)\/k and -69\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8013 + -7968. Solve i*l - 219 = 51 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-227157)\/(-5754644))\/((-1*(-1)\/15)\/((-4)\/5))?\nAnswer: -9\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + 19 + (-83 - -141).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, u: 5, k: 2, c: 1, d: 2}. Give prob of sequence cd.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42696 is divided by 72?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.914 + 1.514. Put u, -29, 0.5, -5 in ascending order.\nAnswer: -29, -5, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5898882ml to litres.\nAnswer: 0.0005898882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28442956*c**2*x + 2*c**2 + 5522276*c wrt x?\nAnswer: 28442956*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29030 + 232307\/8. Calculate the common denominator of h and -29\/16758.\nAnswer: 67032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 (base 10) in base 11?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 3*w - 50 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -18. What is the greatest common factor of 3 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8)\/76 + (-5871337)\/(-1577)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 7) + (6 + (1 - 14) - -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 726641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 - t + t)*(0 - 4 + 1)*(-t + t + t**2) + 2*t**4 + 2*t - 2*t in the form v + n*t**3 + r*t + i*t**4 + s*t**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 13. Let r be ((-2)\/50)\/(x\/(-275)). Let h = -1\/20 - r. Sort -0.1, h, -2.\nAnswer: -2, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97590 * 0.12.\nAnswer: -11710.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3664, 3772, 3958, 4228, 4588, 5044?\n\"Answer: c**3 + 33*c**2 + 2*c + 3628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436 = 19*b - b + 827 - 193 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173, 131, -288 in ascending order.\nAnswer: -288, -173, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60\/9*(-12)\/(-5) + -1. Find the third derivative of 648*p**3 - 323*p**3 - 322*p**3 + 27*p**5 + b*p**2 wrt p.\nAnswer: 1620*p**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from {f: 1, s: 2, y: 2, u: 7}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.57275 to two decimal places.\nAnswer: -6.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45496 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s. Let x(f) = 13*f + 4. Determine p(x(k)).\nAnswer: -39*k - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 v when four letters picked without replacement from {l: 6, v: 3, j: 4}?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*k + 3. Let u(c) be the second derivative of c**4\/12 - c**2 + 13*c. Determine u(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -481 - -75?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24006 times -12.63?\nAnswer: -303195.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 24 = -3*w. Let a be -3 + -6*(4 + w). Suppose 3*i - a = -3. Solve 2 = i*y + 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 19*y - 4 - y**3 - 16*y + 7*y**2 - y**2. Let m(n) = -3*n**3 + 24*n**2 + 12*n - 15. Let a(s) = 15*g(s) - 4*m(s). Factor a(l).\nAnswer: -3*l*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -404 (b) -4 (c) -5 (d) 0.59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44073 and 1650123?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(468) + 1)**2 - sqrt(468)).\nAnswer: 6*sqrt(13) + 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/13)\/(((-2)\/7)\/(130\/35 - 2))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m + 21*m - 53*m.\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4347702 divided by 2173851.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 0*w + 2*w)*(-15*w - 2*w - w) + 55*w**2 + 4*w**2 + 2*w - 25*w**2 as y*w + m*w**2 + x and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -226702, -453405, -680108, -906811, -1133514, -1360217?\n\"Answer: -226703*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + 63 - (1 - (-3 - -14))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**3 - 2*s**2 + 5*s - 2. Let q(z) = 1 - 59*z - 33*z**3 - 62*z - 58*z + 34*z**3 + 178*z. What is -i(g) - 3*q(g)?\nAnswer: g**3 + 2*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -159 - -106. Let d = -28 - q. Solve 0 = -4*k - k - d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = 14*j. Suppose -2*y = -3*m - 5, -2*y = m - j*m - 9. Let c = 1 - -1. Calculate the highest common factor of c and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9881 - 9880.7. Which is the closest to -2? (a) m (b) -11 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4 - 22. Let y = 19 - z. Suppose -c + y = 5. Let r(w) = w**3 + 3*w**2 - 4*w - 5. What is r(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 4*a + 5. Let i(w) = -2*w + 13. Let s be i(9). Let h be x(s). Let b(y) = y + 18. Let p be b(-12). Put p, 4, h in ascending order.\nAnswer: h, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i - 4. Let w be s(-3). Suppose w*r - 2 = 13. Let t = 3 + r. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 5. Let n(y) = 2*y + 3. Let i(b) = b + 2. Let c(d) = 9*i(d) - 4*n(d). What is c(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357*j - 763*j = -1218. Suppose k - 100 + 13 = 0. What is the greatest common factor of j and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 36, 8 in decreasing order.\nAnswer: 36, 8, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -1\/7, 8, -0.8 in increasing order.\nAnswer: -0.8, -2\/3, -1\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02495417 rounded to 5 decimal places?\nAnswer: -0.02495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 3:49 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 936, 3, 0.2, 2 in increasing order.\nAnswer: 0.2, 2, 3, 5, 936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1237 in 0.4, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plt when three letters picked without replacement from {p: 5, x: 3, t: 2, l: 7}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5*j + 28, 5*i = 4*j + 11 + 13. Let w(g) = -g**3 + i + 1 - 2 + 5*g + 4*g**2. What is the units digit of w(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 8 + -14 + -3 + -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1993 - 1075. Let v = 1739 - q. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 971409 is divided by 156?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 67851 = -67827 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -496, -3905, -13108, -30985, -60416?\n\"Answer: -480*w**3 - 17*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (63\/12)\/((-3)\/(-16)). Suppose y = -3*y + b. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115 - 1015?\nAnswer: -1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311238290 is divided by 899?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**2. Let t(g) be the third derivative of -419*g**4\/24 - 5149*g**2. Give t(n(w)).\nAnswer: 2514*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 263648250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 94 = -w. What are the prime factors of w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**5 - 3*x**5 + 6*x**5 + 2*x**4 + 2*x**2 - 4*x**2 + x**3.\nAnswer: -x**2*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0, 2\/23, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157 + 1187. Suppose n = -22*u + 64*u. What is the highest common factor of 464 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -31. Is (1\/(-2)*-19486)\/(-1 + b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n - 67*n = 31*n - 7776. Solve n*r = 96*r - 72 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**2 + 2*r**2 - 9*r**2 + 2*r**2. Let o(w) = 63*w**2. Determine a(o(y)).\nAnswer: 3969*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 192 + -140. Suppose d + 308 = 18*a. Calculate the highest common divisor of a and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 116.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 523 + -491.3. Let h = 32 - u. What is the biggest value in h, -4\/5, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557738 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2311.266t to nanograms.\nAnswer: 2311266000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5160096 and 159?\nAnswer: 273485088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**4\/6 - 2*x. Suppose -312*z + 305*z = -21. Let w(g) = -4*g + g + 4*g - 3*g - z*g. What is w(y(a))?\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 19 = -5*x, -2*d + 7*x - 81 = -55 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**3 - 19*d**2 - 8523*d + 34200. What is q(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -503 + 474.92. Let h = -28 - f. Which is the closest to h? (a) -0.3 (b) -0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 9:44 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42852546 to the nearest integer?\nAnswer: 6546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {b: 1, k: 1, c: 2, h: 1, m: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x**27\/x*x)\/x))\/x**(-1\/2)*x**27*x*x*x**(-7) assuming x is positive.\nAnswer: x**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.4 (b) -42.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360644189.\nAnswer: 10369, 34781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 11. Let h(d) = d**2 - 5*d - 55. Calculate -2*h(l) + 11*q(l).\nAnswer: -2*l**2 - l - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.31 + 0.31. Which is the biggest value? (a) o (b) 0.032 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 546*h**6 + 7*h**2 + 43*h wrt h.\nAnswer: 65520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 26. What is the lowest common multiple of 23 and (-5 - -1*12) + n?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xynmzxe. Give prob of sequence mx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w = -9 + 21 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 186*s - 19546. Determine o(75).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000004026752 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 1293134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 188*n + 11*n**3 + 188*n.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075985361 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82*-0.014.\nAnswer: 1.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 105*z + 1773 = -108*z, 0 = b + 5*z - 609. What is the highest common factor of b and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 87, 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2325 divide 610789125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c - 7*c + c - 15 + 2*c. Let z be y(-9). Suppose 5*u - 10 = -5*j, -z*j - u = -7*j + 8. Solve -8 = 2*b + j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -432894*c**2 + 13069*c?\nAnswer: -865788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 255 + -254. What is the closest to m in -0.03, -43, -3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*d - 7117 + 7439 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 2 - (-8 + (1 - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**3 + 4*n**2 + 5. Suppose -5*s = -7*s + 8. Suppose -r = -0*r - 4*i + 4, s = 2*i. Let f(d) = 9*d**3 + 7*d**2 + 9. What is r*f(u) - 7*p(u)?\nAnswer: u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*c - 36 = 0, 0*c + 16 = x + 4*c. Solve 0 = 3*u + 7 + x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) - (-36)\/15. Suppose -4*j - w + 2*w + 293 = 0, -t*j = -w - 145. What is the remainder when j is divided by (459\/(-36) + 14)*1*20?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.221 + 17.221. Sort -2, s, 0.5, -4 in decreasing order.\nAnswer: s, 0.5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5*17\/340)\/(147\/24))\/2.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063522 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + -3*(sqrt(170) + (sqrt(170) - 2*sqrt(170))) - sqrt(170))\/sqrt(160)*-4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712919 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((1 - 11) + 13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -5*s - 5, -4 = 3*f + 2*s - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 - 2. Let b be (39\/(-65))\/((-1)\/5). Suppose l + 6 = b*l. Is 6 a factor of h(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 884 = 516*s + 634 - 782 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4*w**3 - w**3 - w**3)*(0 + 5 - 3).\nAnswer: 4*w**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 2) + (-4)\/(-2). Suppose 4 - 10 = o*r. Are 1 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 2*u - 1, 3*f + 5*u + 173500 = 173519 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 0*q**3 + 0 - 1\/4*q**4 - 9*q**2 + 0*q. Suppose n = -1 + 2. What is g(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 4*n)*(-21*n + 11*n + 86*n - 12 + 85*n).\nAnswer: 644*n**2 - 48*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) -17 (c) 0.2 (d) 189 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1268*f**2 - 5078*f**2 + 1264*f**2 + 1274*f**2 + 1270*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**4\/11 + 12*n**3\/11 - 6*n**2\/11 - 32*n\/11 + 24\/11 = 0.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 21 + 67 = 0. Let p = -31 - z. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12755 - -12742. What is the second biggest value in w, 1\/3, 24\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/13 - 38*j\/13 - 5124\/13.\nAnswer: 2*(j - 61)*(j + 42)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2983845?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**4 + 2*w**4 - 45478*w**2 + w**3 + w + 45470*w**2 to the form x*w + d*w**4 + q*w**3 + r*w**2 + f and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (0 - 181))*1. Suppose q = 3*w + 5*y, -2*w = -4*w + y + 143. List the prime factors of w.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 105176.763 to the nearest ten.\nAnswer: 105180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**4 + 732*b**3 - 1458*b**3 + 1 + 727*b**3 - 209*b**2 in the form h*b**2 + y + q*b + a*b**3 + s*b**4 and give h.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -979265\/3 + 326422. Let y be 1\/(-6) + (-1)\/(-3). Which is the fourth smallest value? (a) -49 (b) z (c) y (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*w + 40 = 0, -3*v - 2*w + 10 = -10. Suppose 4*d - 8 + 4 = 0. Let n = v + d. Solve 8 = 4*y, 5*y = -3*z + n + 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.31 - 2.11. Put 1\/12, r, -2\/5, 3 in ascending order.\nAnswer: -2\/5, 1\/12, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141*a - 990*a - 746*a - 108*a + 189*a to j + y*a and give y.\nAnswer: -1514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*k + 16 = -12, 4*k = -3*a + 20. Suppose u + 3 = z - 0, -u + 17 = 3*z. Solve -z*j = 2 - a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -156*q**2 + 3599 - 3594 - 13*q + 13*q to f*q + z + r*q**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 4*j + 8, -374*s - 371*s + 746*s + 2*j + 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 10*f**2 + 4*f + 17. Let c(y) = 5*y**2 - 2*y - 8. Let u(i) = 9*c(i) + 4*j(i). Find the second derivative of u(s) wrt s.\nAnswer: 24*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195841260 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -10*w**4\/13 - 133318*w**3\/13 - 1172546*w**2\/13 - 1625378*w\/13 + 373044\/13 = 0.\nAnswer: -13323, -7, -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z - 26 = 2*b, 4*b - 2 = 2*z. Let i = 73 + -64. Let l = i - z. 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 665 minutes after 4:48 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**3\/3 + 2*m**2 - 392*m\/3 + 128 = 0.\nAnswer: -16, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*c + 2. What is the second biggest value in c, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*z**2 + 57*z**3 + 0*z**2 - 5*z**2 - 2*z**2 + (-z**2 - 3*z**2 - 2*z**2)*(-3*z + 5*z + 0*z).\nAnswer: 45*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*g**3\/2 + 3990*g**2 - 958850*g + 32258000.\nAnswer: -(g - 40)*(3*g - 1270)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 11075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*(-52142)\/(-1682)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 113075 and -203984315.1.\nAnswer: -203871240.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 10:06 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-1 - 8) - (3 - (10 + -4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/2))**37\/((s\/s**(-10))\/s**(-7)) assuming s is positive.\nAnswer: sqrt(s)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/4 - 7\/28)*146. Let i = r + -68. Suppose 4*k = -n - 8, i*n + 0*k - 2*k = 26. Solve 2*m = n*y - 10, 5*m + 3 = 2*y - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14b9b (base 13) to base 3\nAnswer: -1222221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250 and 12566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/20 and 151\/50730?\nAnswer: 101460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 4:11 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 597, 1212, 1827, 2442?\nAnswer: 3057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, -4, -2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z - 51 - 1513 = 0. Suppose -120 = -14*w - z. Solve w*n - 32 = -38 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-30)*-5)\/(-16*(-51)\/112608).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 689 + -688.8. Sort -0.4, 10.8, k in decreasing order.\nAnswer: 10.8, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxvcvciviivivic. Give prob of picking 1 v and 1 c.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5541821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 131.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -11.5. Let o = -3.5 + j. Which is the biggest value? (a) o (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51492809 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 714 is divided by 142.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25270 - -27123. Calculate the remainder when s is divided by 116.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-624)\/(-120) - (2 + 1)*2. Put -6, -11, d, 0.3 in descending order.\nAnswer: 0.3, d, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 146\/103?\nAnswer: 146\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -164342.1 - 189.4.\nAnswer: -164531.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -26612 (base 13) in base 12?\nAnswer: -35345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 4*g - 99, 8*v + g = 3*g - 3*g + 34 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06048288956 rounded to five decimal places?\nAnswer: 0.06048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + m)*(-2*m - 2 + 2) + 10*m**2 - 11*m + 11*m.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 14*n**3 - 2*n**4 - 14*n**3 + n**2 + 0*n**4 to the form d*n**3 + s + f*n**2 + p*n**4 + y*n and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**7\/1260 - c**6\/504 + c**5\/210 + c**4\/12 + 2*c. Let m(l) be the third derivative of f(l). Factor m(k).\nAnswer: -2*(k + 1)*(7*k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -156*m**3 - 9*m**2 - m - 12. Let i(s) = -155*s**3 - 10*s**2 - s - 10. Let x(p) = -6*i(p) + 5*t(p). What is the third derivative of x(n) wrt n?\nAnswer: 900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -3*y**6 - y**3\/3 - 8*y - 32. Find the third derivative of a(v) wrt v.\nAnswer: -1080*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18864.9941928 + -18865. Round q to five decimal places.\nAnswer: -0.00581","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 26 = -5*g, -2*m - m + g + 2 = 0. Suppose q - 8 = 1. Let y(a) = 3*a - 5. Calculate the lowest common multiple of y(q) and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*m + 5*m. Suppose -l + 2*l = w - 5, -m = -2*w - 2*l. Calculate the greatest common factor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14431777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -542535*r**5 + 740*r**2 + 48*r wrt r.\nAnswer: -32552100*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-104)*-4 - 168\/(-78). Let u = 3 + -1. Suppose 46 = 5*j - u*n, 0 = -3*j + r*n - 18 + 48. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1269010654 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4\/4 + 47*z**3\/4 + 343*z**2\/2 + 760*z + 600 = 0. What is z?\nAnswer: -20, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 10. Is s at most 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71976250?\nAnswer: 2, 5, 71, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - ((-13 - -13) + 0 + 6 + 0)) + -33.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197757 is divided by 554.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 21*u + 3*u - 45*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or 13115\/936?\nAnswer: 13115\/936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/48 or 1?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 204108893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -964600 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 3*p**2 + 4*p - 10. Let g be o(2). Suppose -g*j - 2*h + 29 = -3*h, -h - 15 = -j. Solve -4*q + i + 5 = 0, -2*i + j = 4*q - 0*i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 6:10 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z - 9. Let u(y) = 5*y - 4. Determine 4*m(p) - 9*u(p).\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 163*y + 102. Give h(-1).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t = -5*c - 140, 0 = -512*t + 511*t - 5 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7967\/12 + -665. Calculate the common denominator of a and 67\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7 - 34 + 136*z - 114*z. Calculate the remainder when 649 is divided by n(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1215 is divided by 657.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*g + 18*g + 36. Which is bigger: -145\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 7, -1.\nAnswer: -2, -1, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -15. Suppose 2*m + 12 = 3*s - s, 2*s + 9 = -5*m. Let n(t) = -2*t + s - 5 + p - 3*t**2 - 3. Calculate n(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -23 + (0 - (8 - 1)) - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418579*h**3 + 28*h - 28*h.\nAnswer: 418579*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*c)*(468 - 468 + 29*c)*(-1 + 401253*c**2 - 401252*c**2 - 2*c - 27).\nAnswer: 58*c**4 - 116*c**3 - 1624*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(6\/7)*t*t\/(t**13*t))**19 assuming t is positive.\nAnswer: t**(-1577\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/15 + 619984*d\/15 - 1239976\/15.\nAnswer: 2*(d - 2)*(d + 309994)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 858 and 588450720.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 4*a + 16 = 0, 159*a = -3*w + 157*a + 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 12*s**2 + 263*s - 13. Let l be w(-22). Solve 38*k + l = 161 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 82 (b) -0.03 (c) -206 (d) 3 (e) 0.2 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11652, 12159, 12666, 13173?\n\"Answer: 507*r + 11145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 4. Let g(y) = 0*y - 2*y + 3 + 0. Let a(x) = -4*g(x) + 3*n(x). Let v(f) = 2*f. Determine v(a(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 7*s + 4. Let v be z(6). Suppose 0*c + v = x + 2*c, -3*c - 29 = -4*x. What is the smallest common multiple of 26 and x?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 2:07 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 c when three letters picked without replacement from {v: 2, c: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1081 divided by 1117\nAnswer: 1081\/1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*((t*t\/t**(2\/59))\/t)\/t*t)\/(t\/(t\/t**(-12))))\/((t**(-4\/21)*t)\/t**(2\/31)) assuming t is positive.\nAnswer: t**(507809\/38409)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*m + 240 = 0. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1014014 (base 5) to base 15\nAnswer: 4e74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1144 divided by -52.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4786100806.\nAnswer: 2, 41, 58367083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 + 100*y = 0. What is y?\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -47?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 17*o**3 + 22*o**2 + 7*o. Let z(p) = -9*p**3 - 11*p**2 - 4*p. What is 3*n(l) + 5*z(l)?\nAnswer: 6*l**3 + 11*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/2))**18*p**(4\/5)*p\/(p*(((p\/((p\/((p*p**(1\/6))\/p)*p)\/p)*p)\/p)\/p)\/p) assuming p is positive.\nAnswer: p**(889\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmvzmzz. What is prob of sequence zvm?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/37762 and -73\/8356.\nAnswer: 157769636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -381, -751, -1289, -2007?\nAnswer: -2917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1006 - 1008. Sort -3, x, -1805 in descending order.\nAnswer: x, -3, -1805","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + b - 22 - 3*b - 2*b. Let n be h(-8). What is the second derivative of -3*p**5 - 4*p**5 + 3*p + 13*p - n*p**5 wrt p?\nAnswer: -180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -537519801058 + -1.318?\nAnswer: -537519801059.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/2 + 147*l**2\/2 + 1591*l - 3480 = 0. Calculate l.\nAnswer: -120, -29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 228, 261, 328, 441?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 278*t - 272*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 0) + (-9)\/7. Let q = 210.9 + -210.6. What is the closest to l in q, 2\/13, 0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**3\/13 + 12846*c**2\/13 - 22269150*c\/13 + 397136250 = 0.\nAnswer: 273, 3075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20*(-1 + 21\/15). Let y(d) = d**3 - 7*d**2 - 7*d - 6. Let f be y(m). Solve 3 + 3 = -f*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = u - 10*u - 5*x + 3, -7*x - 15*x - 30 = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 13*w**2 - 5*w + 31. Let j(c) = -7*c**2 + 2*c - 16. Let h(u) = 6*g(u) + 11*j(u). What is h(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-3)*(-16)\/(-840)*-9.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/7 - (-2)\/7. Let r be (30\/(-8))\/(1\/(12\/(-9))). Solve -4*x - n*q + r + 11 = 0, 3*x - 3*q - 3 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-330)\/(-16))\/(110\/(58960\/(-402)))*(-16)\/10.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -5 + (32 - 18).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*q**5 - 4010*q**3 + 1499*q + 0 + 2039*q**3 + 0 + 2034*q**3 wrt q.\nAnswer: -140*q**3 + 378*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10046247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5\/18, 162, 14, -0.3 in decreasing order.\nAnswer: 162, 14, -5\/18, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -460.8 - -461. What is the nearest to -0.12 in -0.3, 0, 5, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 - 3*n**2 + 152 - 80.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 41531, -0.5, 10.2, 0, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2191186 + 0*i**3 + 2*i**3 + 2191186.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3080 and 35882?\nAnswer: 717640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -572*l + 308*l + 528 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 9. Let w be q\/3*2\/(-6). Let v be 2\/(-4) + (-1)\/w. Sort v, -2, -1\/7.\nAnswer: -2, -1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1008 and -121\/109450656?\nAnswer: 109450656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*h + 28*h - 7*h - 3*h - 4 - 4 + 4 + h + 2*h - 1 + 1 + (-1 + 2 - 3)*(-3*h + 5*h - 4*h) to x + y*h and give y.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/21 and -59\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjffffffffj. Give prob of picking 2 j.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112000?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10539805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*g - 4, 0 = 4*z + 3*g - 36. Suppose 4*m - 8 = z, m = -3*i + 5. Suppose 0*d - d = i. Which is greater: d or -1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1376818 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -208636*x + 16899524. Determine y(81).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3915 = -31*y - 3264 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k = 0. Let h(y) be the third derivative of k*y + 1\/24*y**4 + 0 + 1\/60*y**5 - 1\/3*y**3 + 2*y**2. Let h(t) = 0. What is t?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*o - 0. Let p be (0\/3)\/(-3)*1. Is 4 a factor of o - (-1 - p) - -14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1228398 and 614199?\nAnswer: 1228398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -10224*s - 61347. Let f be r(-6). Let l(a) = -a**2 + a + 1. Let q(i) = 7*i**2 - i - 4. Let y(m) = 6*l(m) + q(m). Give y(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6355.2 + -6355. Which is the closest to 0.1? (a) -5 (b) -30 (c) -6\/5 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 4, -2, 0, 24, 31 in decreasing order.\nAnswer: 31, 24, 5, 4, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5\/9 + 26*j**4\/9 - 124*j**3\/9 + 196*j**2\/9 - 134*j\/9 + 34\/9.\nAnswer: 2*(j - 1)**4*(j + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a + 38*a + 17*a + 0*a. Let k(u) = -4*u. Determine i(k(n)).\nAnswer: -232*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*v = -69*v - 567. What is the greatest common divisor of 21 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 60 = 5*i, 4*w + 36 = 2*i + 6*w. Suppose i*j = 17*j - 36. Calculate the remainder when 51 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -162642740*a**3 - 182326255.\nAnswer: -487928220*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from {t: 3, v: 1, o: 2, r: 1, e: 2, a: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000111 (base 2) in base 10?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 558, 1\/3, 7\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275152 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9611527819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + -2 + 1)*1*-4*3)**2.\nAnswer: -1152*sqrt(7) + 16272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -969*g**3 + 1826*g**2 - 20442435*g.\nAnswer: -5814*g + 3652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Let m = -7 - -9. What is the third derivative of m*w**6 - 2*w**2 + j*w - 3*w wrt w?\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3045128 and 4567692.\nAnswer: 9135384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.68 + 2.3. Let h = -1.9081 - -2.28848. Let r = b + h. What is r rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.25 to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**5\/9 + 4*q**3\/3 - 16*q**2\/9 + 2*q\/3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2644545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -29, -2\/13, -2\/10569?\nAnswer: -2\/10569","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o + 5*o + 4*o - 4. Let y(c) = 3 - 1 - 4 + c + 1. Determine -9*y(s) + 2*z(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -73, -71, -71, -73, -77?\n\"Answer: -w**2 + 5*w - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**0*u*u)\/u)**42)**(-39) assuming u is positive.\nAnswer: u**(-3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/10)\/r*r*r*r*r*r*r**(1\/21))**(-2\/121) assuming r is positive.\nAnswer: r**(-1081\/12705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3493807.\nAnswer: 167, 20921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -5.2. Let x = -6\/113 - -280\/1017. Which is the closest to -0.4? (a) 0 (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4*(w\/w**(2\/13))\/w*w assuming w is positive.\nAnswer: w**(63\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 1059 + 1067. Suppose -p - 3865 = -11*l. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j - 1604281 = -2*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**3 - 206*o + 207. Let c be m(1). Let 2\/9*d**2 + 0 + 1\/9*d**5 + 0*d**3 - 2\/9*d**c - 1\/9*d = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -35179406 divided by 374249?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1029)*-3)\/(sqrt(7) + (sqrt(35) + sqrt(875))\/sqrt(5))*-2 + -5.\nAnswer: -5 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 59*n**2 + 340*n**3 + 28503*n - 25*n**4 + 80*n**2 - 28489*n = 0.\nAnswer: -1\/5, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559535\/211 equal to -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 10*d**2 - 26*d + 12. Let i be q(6). Let m be (0\/(i + 1))\/((-38)\/19). Solve 0 = 3*j - m + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-8\/7))**(-33)*((d*d**50)\/d)\/(d\/d**(-26)))**(-31) assuming d is positive.\nAnswer: d**(-13175\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6) - 319\/87 - (-50)\/8?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/779, 70371, 4, -5\/3?\nAnswer: 1\/779","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 1 + 0 + 2 - 4. Let m(v) = v - 5. Let h(i) = -3*i + 14. Let l(k) = -2*h(k) - 7*m(k). Suppose 3*x + 24 = -x. Give x*c(g) - l(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*v - 87*v - v**2 - 2*v**4 - 86*v + 231*v - 20*v**3 in the form c*v**4 + y*v + t + i*v**3 + w*v**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + b - 6. Let z be y(0). Let r be 6\/4*5\/(10\/12). Let a be (r\/z)\/((-2)\/(-4)). Sort -2, a, 5.\nAnswer: a, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87676 - 0.1763?\nAnswer: 87675.8237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0115 - 0.4885. Let o = -4.09 + 4. Which is the third biggest value? (a) q (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 327 - -134?\nAnswer: 45b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-14 + 11 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k. Let q(o) = -3*o**3 - o**2. Let a be q(-1). Let i be x(a). Let g be ((-3)\/i - 0)*2. Is g less than or equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*r + 13*r - 42*r - 3 + 4 - 60*r.\nAnswer: -38*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 4*j - 29 - 3*j)*(2 - 7 + 1).\nAnswer: 8*j + 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*t + 27, 5*t - 4*d + d + 29 = 0. Suppose -15*b + 23 - 8 = 0. Let u = b - t. Calculate the least common multiple of u and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, 3, 37, -1, -2.\nAnswer: -11, -2, -1, 2, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116 - 112. Let j = -0.22 - 0.03. Let d = 0.15 + j. Which is the nearest to -3? (a) d (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 325\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -272*r**5\/5 + 290*r + 101. Differentiate d(k) wrt k.\nAnswer: -1088*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38cd - -5?\nAnswer: 38d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 - 59. Suppose -c + h = 4*n, 3 + 0 = -c. Let x be 10*-1*1\/(-6)*n. Solve 5*s + 3*g = -5, -5*s + 15 = -x*g - 20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 13.9, 3, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 980.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 98.624 and 0.6?\nAnswer: 59.1744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -576.4946 and -4?\nAnswer: 2305.9784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45634893 is divided by 1019.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(13)*-1 - (sqrt(13) + 2)*-4) + (-2*sqrt(104)*6)\/((-2*sqrt(8) - sqrt(8))*3))**2*-1.\nAnswer: 468*sqrt(13) + 5852\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 + 137. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 31*d**2 + 711*d - 42. Let h be c(-23). Solve -5*p = 5*g + 10, -p + 4 = -g - h*g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340\/(-595)*(-14)\/6\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11\/306 + 5\/34. Let a be ((-10)\/8)\/((-28)\/(-16)). Let w = a + 13\/28. Sort w, k, 1 in descending order.\nAnswer: 1, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/4))**(-3\/4)\/(x\/(x\/x**(-2\/11))*x**(-1\/5)*x))**(-7))**(-2\/3) assuming x is positive.\nAnswer: x**(-2653\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1606508.\nAnswer: 2, 401627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o - 4*o - 4*o - 5*o + 0*o + o + (-1 + 0 - 2)*(-3*o + 1 - 1) in the form u*o + z and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -4430559?\nAnswer: 1\/4430559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (6\/((-6)\/3) + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1340908180.\nAnswer: 2, 5, 67045409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/634 + -13963\/3170. Suppose 43*v = 49*v + 30. Is q bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16297?\nAnswer: 43, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -277.2 - -328.52. What is d rounded to zero decimal places?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6203.611 tonnes?\nAnswer: 6203611000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-12)\/((-1152)\/(-8))*57.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i*p**6 + 41*i*p**2 + 2*p**6 - 3*p**3 - 2*p**2 wrt p?\nAnswer: 120*i*p**3 + 240*p**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 0*w - 1\/120*w**6 + 0*w**3 + 1\/15*w**5 + 0 - 1\/24*w**4 + 4*w**2. Calculate r(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93396, 93392, 93388, 93384, 93380, 93376?\nAnswer: 93372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - 1180 + 2164 - 1098 to m + o*y and give m.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = s + 144243, s - 6*s + 432697 = 3*x. Let h = 1589656\/11 - x. Let b = h + -275. What is the second biggest value in -0.1, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2. Let s(x) = -7*x**2 + 2*x - 60201. Determine s(l(y)).\nAnswer: -28*y**4 + 4*y**2 - 60201","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*c + 4*s, 3*c = -5*s - 0*s + 38. Solve 0*t + 2*t + c = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/105 and 346\/(-5)*124\/208320.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 12:53 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5764070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 15609001289580?\nAnswer: 15609001289579.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**6\/240 - h**4\/4 + 3*h. Let o(f) be the third derivative of i(f). Let p(j) = 3*j**2. Determine p(o(v)).\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = 3*f - 49, -5*m + 4*f = -0*f - 33. Solve 0 = m*h - 25, -3*c + 31 = 7*h - 2*h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**6\/40 + k**5\/15 - 5*k**2\/2 + 3. Let a(j) be the second derivative of y(j). Find the third derivative of a(v) wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 184*z**3 + 64*z**2 - 142*z + 27. Determine k(2).\nAnswer: 1471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0265152 rounded to four dps?\nAnswer: -0.0265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 615*a - 8. Let o be l(4). Suppose 6*x - 2 = o. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9998*l - 139993. Determine x(-14).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 0 (c) 107 (d) -9 (e) 3\/8 (f) 100\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 27. Solve -3*l - 9 = -2*b, 4*b = w*l - b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79381?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*z**2 + 32*z**2 + 15*z**2 + 17*z**2 as b*z + j*z**2 + n and give j.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107405854?\nAnswer: 2, 409, 131303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -113?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-27)*-3*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 92 = 52 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 762, 1530, 2296, 3060?\n\"Answer: -m**2 + 771*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 87*v**3 + 86*v**2 + 800. Find the second derivative of i(m) wrt m.\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*u + 37320 + 102*u - 37320.\nAnswer: 263*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*p - 19, -9*r + 0*r + 2*p + 251 = 0. Suppose -r*v + 34*v = 0. Sort -13, 4, v, 3.\nAnswer: -13, v, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l - 3. Let m(i) = -i. Let c(t) = -4*m(t) + w(t). Calculate c(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + (-7 - (18 - -44))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1727, -1, 0, -6 in descending order.\nAnswer: 1727, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(5 - (-2)\/(-2)). Let k = 3 + -5. Suppose -11 = 4*c + 2*i - 5, 5*c - i = 10. Put k, s, c in increasing order.\nAnswer: s, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 2*l**3\/3 + 7*l**2\/2 - 56468*l. Suppose -y = 8 - 1. Let t(a) = -8*a - 13. What is y*f(v) - 4*t(v)?\nAnswer: 4*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 20*n - 834. What is the remainder when 2259 is divided by s(43)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 15, -66 in descending order.\nAnswer: 15, -1, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 1156.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -4. Let o = l + 1. Is (-76601)\/(-31) + (-8)\/o*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-one halves of a hour?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3309.045 + -3351. Let c = 77.02 + h. Let l = 35 - c. Round l to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10324097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s - 10. Let k(m) = m - 10. Let z be k(7). Let v be f(z). Suppose 661488 = v*o + 3488. Round o to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5853891*q**3 - 147*q**2 - 11123.\nAnswer: 35123346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 204850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17 + -30 - (2 + 0). Which is the second smallest value? (a) 5 (b) 3\/8 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y - y**2)*(30*y - 11*y - 11*y)*(3*y**2 - 3*y**2 + 3*y**2).\nAnswer: -24*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/3)\/(f*f**5) assuming f is positive.\nAnswer: f**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or 64387056?\nAnswer: 64387056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 499 + (58 - 568) + 25 + 1 + (0 - 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -55399 times -0.12?\nAnswer: 6647.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/81 and -113\/18?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g. Let v(i) be the first derivative of -17\/2*i**2 - i - 75. What is v(y(l))?\nAnswer: -17*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -33854.07731 rounded to the nearest 10?\nAnswer: -33850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*c + x, 2*x + 2*x = 5*c + 36. Let w be 12\/(-18) - c\/(-6). Let z be 3 + (w - 0) + 1. Solve 3*y = z*y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 4. Let g(u) = -5*u - m*u - 20*u. Let n(b) = 198*b - 399*b + 200*b. Determine n(g(r)).\nAnswer: 29*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.37 + -3.47. What is the closest to t in -1, 8, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(117)*-1)\/sqrt(9) + sqrt(130)\/((-2*sqrt(60) + sqrt(60))\/sqrt(6)))*-2.\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*q**4 - 6 + 26*q**4 - 11*q**4 with respect to q.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 - -1)\/(-2) - 18\/((-882)\/14945) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*v + 1345, -5*l + 3*v - 404 = -3819. What are the prime factors of l?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 2)**2*1 + -2*(sqrt(5) + 1)**2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 300684, 300668, 300634, 300588, 300536, 300484, 300438, 300404?\n\"Answer: q**3 - 15*q**2 + 22*q + 300676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 6*j - 4. Let g = -4 - -4. Suppose -3*n + 12 = -g*n. Determine y(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -4 - (-4 - (11 - 34)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82487 by -19.\nAnswer: -82487\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -32*w + 3376. Let i be o(106). Let t = -3.04 - -0.04. Which is the third smallest value? (a) i (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (84\/(-20))\/((-6)\/10). Suppose -15 = -5*i, p*i + 6 = -5*b + 9*i. Solve b*k = 2*k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193242012949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 20, 1\/5, -1.9125, -4, 0.3, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 15*y**2 - 27*y**2 + 1 + 14*y**2 - 2*y. What is d(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -7*w. Suppose 3*z + w = -3. Let g(q) = -161*q**3 - q - 1. Is g(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 742 divide 145587342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90581.\nAnswer: 239, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1634 + 1816. Let u(a) = 26*a**2 - a - 1. Let b be u(-1). Calculate the highest common factor of b and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -351413, -351345, -351275, -351203?\n\"Answer: g**2 + 65*g - 351479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let h(w) = -w. Let v(d) = 2*h(d) - 3*l(d). Let c(r) = -13*r + 2. Give c(v(t)).\nAnswer: -13*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 643230 divided by 7\nAnswer: 91890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88724 - 16*g**2 - 88724.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1123 and 1831613.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 + 1 - 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4791411 + 11537360. Let b = -4795949 + x. What is b rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -7*m**5\/20 + 13*m**4\/12 - 6*m. Let v(s) = 3*s**3 - 6*s**2. Determine -6*d(w) - 13*v(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -502998, -502997, -502996, -502995, -502994, -502993?\nAnswer: -502992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 21 = -2*i - 4*f, 5*i = 3*f + 48. Solve -2*t - i + 4 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3*o + 24, h + 0*h - 10 = -2*o. Suppose h*c - 53 = 97. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5 - 2622*u**4 + 787622*u**3 + 62678982*u**2 - 9058310800*u - 612171589536 = 0. Calculate u.\nAnswer: -76, 117, 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 13540, -2, -0.3, -3, 0, -1 in decreasing order.\nAnswer: 13540, 5, 0, -0.3, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 9*h**2 + 3*h + 137. What is b(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -657 - 34*j + 1323 - 672. Let x(p) = 33*p + 5. Determine 4*u(z) + 5*x(z).\nAnswer: 29*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 6*i**2 - 3*i - 4. Suppose -u - 17 = -11. What is the least common multiple of 1 and h(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 100 = 50. Suppose -c = -0*r - 5*r. Solve -5*y - r = -2*y, -3*y + 5 = -4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwgw when four letters picked without replacement from gyygyywwywyw.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/3)\/4)\/((-16)\/(-18)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((-9 - -13) + (-1 - (-14 - -4) - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 145 - 21 + 0*h + 8*h + 4*h + 418. Let o be z(-45). Factor 8\/7 + 2*k + 4\/7*k**o - 2\/7*k**3.\nAnswer: -2*(k - 4)*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 32065.\nAnswer: 192390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8982 - -8959. Let o(a) = a**2 + 11*a - 291. What is o(h)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5844 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/(t*t**(-5\/2)))))\/t**(-2))\/((t\/t**(2\/9))\/t)**(25\/4) assuming t is positive.\nAnswer: t**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1485599591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -494 + 583. Suppose 11*n - k = -56. Solve -n*g + 10 = -2*g + 2*o, 3*o = -2*g + 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/5 + 73178*v**2\/5 - 154698480*v + 364713921000.\nAnswer: -2*(v - 16650)**2*(v - 3289)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402154 (base 6) to base 4.\nAnswer: 13231312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b - 10. Let o be h(4). Suppose 0 = -3*i - o*i + 110. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112637887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-14) - 44*8\/(-112). Let k = 1551 - 1551. Let q = 289\/4 - 73. Which is the closest to k? (a) -3.3 (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17584 and 72576?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -235 or 0.3238?\nAnswer: -235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 4:50 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/625 or -1?\nAnswer: 4\/625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 3*l**2 + 2*l + 3. Let c be b(2). Let u(m) = 39*m**2 + 2*m - 19. What is the hundreds digit of u(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -64 - 2\/3*w**3 - 1\/2*w**2 + 1\/4*w**4 - 42*w. Find the second derivative of f(p) wrt p.\nAnswer: 6*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d - 153. Calculate x(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 - s - 2. Let y be d(-1). Let c = 116 + -117.05. Let l = c + 2.35. Is l less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2\/3 - 49*a\/3 + 94\/3 = 0. What is a?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n = -1. Let h be n\/(1*(-9)\/6). What is the second smallest value in 3\/2, h, 2\/19?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.79 - 0.21. Sort -2\/19, a, 2 in descending order.\nAnswer: 2, -2\/19, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127 - 175. Let g be (-20)\/6*(-72)\/i - -20. Solve 42*c - g = 37*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 10*t**2 + 7*t + 47. Let r be q(11). Suppose r*m + 9 = -2*a, -5*a + 6 = -2*m - 0. Solve 9*u - 3 - 6 = a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 48*f**3 + 11823*f**2 + 741516*f + 1652124 = 0.\nAnswer: -122, -37\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 12\/6511 (c) -1\/8 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9324 + -924. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -439, -1702, -3871, -7030, -11263, -16654, -23287?\n\"Answer: -14*k**3 - 369*k**2 - 58*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 less than or equal to -2\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w - 45 = 0. Suppose -k + 2 = -0. Let x be 1\/(2 - 1) + k. Calculate the highest common divisor of w and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 2829 - 3*s + 6*s + 2802 in the form d*s + j and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 267350 divided by 141?\nAnswer: 267350\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 2*u**6\/15 + u. Factor x(g).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -0.03, 122, 2\/9, 0.05?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 82330 and 430.\nAnswer: 3540190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 7344?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 6 = 3*t. Let w(m) = m**3 + 5*m**2 - 4*m - 4. Let b be w(t). Let u be b\/18*(-9)\/(-12). Is u at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614331647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/4 - -4)\/(15\/(-16))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.292 + 0.008. Let u = 3.4 - c. Let v = -1.1000224 + u. Round v to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -315*l + 47.\nAnswer: -315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 4. Let n be q(0). Let h(a) = -a**3 - 61*a**2 - 19*a - 9121. Let z be h(-63). Sort z, -1, n in increasing order.\nAnswer: n, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - g + 3 + 1)*(-12*g**2 + 6*g**2 - 31*g**2) to r*g**2 + f + t*g**3 + v*g and give r.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1880\/7 + -269. Let n = -0.4 - -0.2. Let c = -99 - -298\/3. Sort c, n, u.\nAnswer: u, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 470570754 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -330.4876838548 - 0.5123170452. Let w = 331 + d. What is w rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 129*l - 4146. Let n be h(64). Solve -9*c = n*c + 69 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 55555*c**2 + 444200*c - 888240.\nAnswer: 5*(c - 11103)*(c - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36036 and 35838?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -16 + 1. Let p(c) be the first derivative of c**5\/60 - c**4\/4 + c**3\/6 + 3*c**2 + 5. Let y(o) be the second derivative of p(o). Calculate y(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1033 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4936431ug?\nAnswer: 0.0000000004936431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 4:08 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 689*b*f**5 + b*f**4 - 2*b*f - 8*b - f**2 wrt f.\nAnswer: 41340*b*f**2 + 24*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 + -55. Is y <= 3\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 56 = -2*f, -2*f = -5*c - 6 - 29. Let h(q) = 4*q - 3 - f*q + 8*q + 4*q + 7*q. What is h(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-14) - 7414\/(-77). Suppose 0 = -4*m + 57 + 7. Calculate the greatest common divisor of h and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 12\/15 + (-393)\/(-15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-78)\/65)\/(0 - (-2)\/5). Is (176555\/15)\/((-1)\/w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 93*i - 522. Let l be c(6). What is the nearest to -46 in l, 5, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - z**2 - 1. Let g(d) = -d**2 - 8*d - 1. Let n be g(-8). Let y(u) = -5*u**3 - u**2 - 3*u - 12. Let c(h) = n*y(h) + 6*k(h). Give c(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2*o + 4 + 21 = 0, 5*o = -4*s + 13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.57029 milligrams to kilograms.\nAnswer: 0.00000357029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i\/i**0*i)\/i)*i)\/i*i*i)\/i**1)**(-1\/28) assuming i is positive.\nAnswer: i**(-1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.58 (b) 328538 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1939040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/27)\/k)\/k)\/k**(2\/19))\/(k**(-2)*k**(-6))*(k\/k**7*k**13)**(-7) assuming k is positive.\nAnswer: k**(-22075\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 minus 2.15535549?\nAnswer: -2.85535549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 6:17 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -145 + 148. Suppose 0 = -r*c + 2*x + 38, 0*x = -x - 1. What is the least common multiple of c and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 2*j = 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 8)*38\/24. Which is the third biggest value? (a) 4 (b) 2 (c) r (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 9221152292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -849*i = o - 845*i - 2, 10 = -4*o + 2*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 4. Let i be z(6). Suppose -y + 20 - 5 = -3*j, 0 = 3*y + 2*j - 1. Suppose -5*x - y*m - m = 11, -2*x - m = 2. Solve i*d + x = -3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**12\/(n\/n**(-1\/18)) assuming n is positive.\nAnswer: n**(197\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/20*(-1)\/(-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14205\/11 + 1289. Let t = -360\/143 - l. Let w = 8.9 - 54.9. What is the fourth biggest value in w, -3, t, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -374 divided by 17?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*q - 30, -3*u = -2*q - u + 12. Suppose 0 - q = -2*c. Suppose -c*o = -5*r + 221 - 28, o - 3 = 0. List the prime factors of r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10288.974477 rounded to the nearest one hundred?\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 10, 2*t = -3*t + 3*l - 2790. Let k be ((-10)\/t)\/((-2)\/(8 - 2)). Which is the closest to -0.1? (a) 2\/7 (b) 0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, l: 2, k: 3, q: 2, x: 3, z: 1}. Give prob of picking 1 g and 1 z.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5 - -1 - (-98 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 34*x**2 + 2*x + 18*x**2 - 51*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*k - 4. Suppose 4*p + 86 = 3*z + k*z, -5*z = 3*p - 58. Suppose -4*g + 14 = o, 0*o + z = o - 5*g. What is the least common multiple of o and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (35\/10 + -3)*10. Suppose b - 1 = o, 4*o + 10 = y*b + 2. Calculate the lowest common multiple of b and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-3*sqrt(99))\/(sqrt(729)*-6))**2 + 0.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5606, 2 in descending order.\nAnswer: 2, -4, -5606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 13040.4, -3\/235 in descending order.\nAnswer: 13040.4, 2, -3\/235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 - 5*z**2 - 8*z**2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(40)\/sqrt(2)*-5 - sqrt(20))\/(-2*sqrt(640)))**2.\nAnswer: 15*sqrt(2)\/4 + 809\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -176 and 4.\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1012020 (base 3) to base 13\nAnswer: -51c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-8)\/12)\/2)\/((-3)\/18). Solve -p = -2*j - 3, -p + j + 2 = -x*j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 13309491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1754*g = 1757*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -12*j - 78. Let a be l(-6). Let t(w) = -w - 1. Let v(k) = k. What is a*t(d) - 5*v(d)?\nAnswer: d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -573 and -93572.4.\nAnswer: 53616985.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 - 83. Solve -3*s + 1 = -2*g + f, 3*s = 5*g - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -22*u + 148. Let j be h(17). Let o = j - -2482\/11. What is the second smallest value in -0.8, o, -3\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29665589 to the nearest integer?\nAnswer: 5447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a tonne in kilograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1412*f + 1408*f + 132. Calculate the remainder when f is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -6 - (-249 - -227)) + (0 - -5)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**4\/4 + l**3\/3 + l**2 + 4*l - 23. What is the tens digit of i(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*q + 5 = 0, 5*a - 5*q + 3*q = 1. Suppose -k - 5 + 4 = 0. Let y = a - k. Solve y = -4*h + 1 - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4239 by 3400.\nAnswer: -4239\/3400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1425 - -5055. Suppose 0 = -21*o + 36*o - x. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**4\/4 - 2*a**3\/3 - a**2 + a + 1. Let f = 57 - 54. Give q(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/8 + 58387007*v\/4 + 3409042586418049\/8.\nAnswer: (v + 58387007)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*v - 102 = 68, 2*b = -3*v - 93. Let t = -35 - b. Let a(q) = 5*q**2 + 5*q - 2. Does 7 divide a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310002233 (base 4) to base 6.\nAnswer: -4322515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -18*y + 81 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 5. Let m be (-2)\/10 + (-39)\/30. Which is the nearest to i? (a) -5 (b) m (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 99 = -5*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4 + 52708*c**3 + 43568280*c**2 + 11842167600*c + 1069338024000 = 0 for c.\nAnswer: -270, 27164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q - 22. Let n be g(15). Suppose n*y + 24 = 10*y. Suppose 0 = 3*a - 4*c + y + 41, -5*a + 2*c = 65. Are -13 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 41765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f + 7*f - 2*f)*(6 - 4 - 4)*(1 - 2 + 0) in the form i*f + p and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(833)*-2)**2 - (sqrt(833) + (sqrt(833) - (-2 + sqrt(833) + -2))).\nAnswer: -6668 - 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64283 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bytbddbdbd. Give prob of sequence ddb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*y + 222 + 234, 4*y + 442 = -3*d. Let l = y + 72. Let v = -14 - l. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 3*b - 29. Let w be 4*(b\/24 - 0). Let m(k) = 2*k**2 - 7*k + 4. Let q be m(4). Solve 2 = -w*a - q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48865 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-1 - -9) + -11 + 3 + -14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 22787.2 seconds?\nAnswer: 22787200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32943521.\nAnswer: 13, 23, 239, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2 - 1 = -t, 3*t + n = 19 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o - 4*o + (-3 + 3 + 1)*(-2*o + 1 - 1))*(35 - 14 + 1)*(0 + 0 - 1).\nAnswer: 132*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -380 + 264. Let t = k + 106.7. Let m = t + 9.1. Which is the third smallest value? (a) -5 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24.1 + -19. Let x = -8.1 + c. Is x at least as big as -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1040 and 50245?\nAnswer: 803920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.115 - -0.017. Let z = 15.955 + -16. Let k = z - n. Round k to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 94?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 706 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 5184\/5 - 21\/5*g**4 + 16416\/5*g + 624\/5*g**3 - 5868\/5*g**2 = 0.\nAnswer: -2\/7, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - g + 77 + 24 + g - 2 + 2 - 2*g + 4 - 4 + (2 - 2 + g)*(-1 - 1 + 3) - 1 + 2*g + 1 in the form q*g + p and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 478942 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n + 8*n = 0. Suppose 6*m = -n*m - 12. Let c be 9\/(-4)*(-24)\/(-99). What is the third smallest value in c, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1060 or -1062?\nAnswer: -1060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2354\/856*12\/(-22))\/((-141)\/(-4))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 3:28 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68\/5 + -287\/20. Let h = 0.0944 + 629.9056. Let y = -632 + h. What is the nearest to 2\/3 in 0.3, m, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 5*a + 30, -5*f + f + a = -19. Suppose 14 - 14 = -f*q. Solve 5*y - y = q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/72 and -5\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 853*i - 844*i - 13932. What is the greatest common factor of 240 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 82*o**2 + 358*o + 2. Let x(p) = -3*p. Determine d(x(c)).\nAnswer: 738*c**2 - 1074*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -24. Let o be (-105)\/28*m\/3. Suppose 0*g = -2*r - o*g + 49, 0 = -3*g + 15. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -5*b**4\/4 + 10*b**3 + 6*b - 194. Find the first derivative of j(p) wrt p.\nAnswer: -15*p**2 + 60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9297 + 297 = -3*x. Let m be x*5*(-100)\/6. What is m rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/180 + -89\/180. What is the fourth biggest value in d, 2\/13, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(275) + -2)**2.\nAnswer: -40*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -10123446.73 to the nearest 10000.\nAnswer: -10120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 2199*i**2 + 1075*i**2 - 17.\nAnswer: -1124*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -3595*u**4\/4 - 40*u**3\/3 + 14*u**2 - 554. What is the third derivative of q(t) wrt t?\nAnswer: -21570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-6)*x*x**(-2))**(-45)\/((x**(-1\/6)\/(x**(-1\/3)\/x))\/((x**4*x)\/x*x*x\/x**3)) assuming x is positive.\nAnswer: x**(1631\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6105a (base 11) to base 15.\nAnswer: 1b697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*x - 86*x + 229*x + 179*x + 188*x)*(-18*x**2 - 13*x**2 + 3*x**2) in the form v*x**3 + b*x**2 + h + f*x and give v.\nAnswer: -13832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 10:53 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -1\/3*l**2 - 271803 - 602*l = 0.\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 113, 1036, 2765, 5300, 8641?\n\"Answer: 403*g**2 - 286*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 17*n + 39. Determine m(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-737)\/(-143) + 2\/52*-4. Solve 0 = r - 0*r + s + 3, -5*r + 5 = -l*s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 - (-44)\/8. Let z(a) = a - 6. Let s be z(p). Suppose -6*x + x - 115 = s. What is x rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 44?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3) + ((-2)\/(-9))\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.11 - -0.11. Let h = s - -6.9999942. Round h to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1208.247027 - -1208.3. What is q rounded to four decimal places?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(3\/5)*p*p*p*p*(p**(-6\/7)*p)\/p*p)\/((p\/(p*(p\/p**1)\/p))\/(p*p**(-4\/9)*p)) assuming p is positive.\nAnswer: p**(1606\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98*l - 284*l + 120*l - 334*l)*(-l**2 + 0*l**2 - 9*l**2).\nAnswer: 4000*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -15*g - 27. Let j be a(-5). Suppose -2*b - 5*s - j + 321 = 0, -5*b + 5*s + 735 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -937 - 3047*o**2 + 5377*o**2 + 938 to the form i*o**2 + q*o + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/50, 9, -2, 3, -1\/8 in increasing order.\nAnswer: -2, -1\/8, 1\/50, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from xhxxhhxhxhhx.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from lyllyyxxyyvyw.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1090, -4409, -9942, -17683, -27626?\nAnswer: -39765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 29 = 9*g + 5*x, -x = 3*g - 11. Let h(z) = 4 + z - 13 + 8 + 6*z**2. Determine h(g).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210)\/(-25)*((-5060)\/161)\/(-22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*z**4 - 2*z**3 + 4*z - 9685 with respect to z.\nAnswer: -120*z**3 - 6*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145 and 10092.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44042788177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/10 + 23\/30. Suppose 5*t - 5*h + 19 - 49 = 0, 4*t - 5*h - 25 = 0. Which is the closest to d? (a) t (b) -0.1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9838, 41931, 95412, 170275, 266514, 384123?\n\"Answer: -i**3 + 10700*i**2 - 861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 201, 152, 103, 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 0*y**4 + 0*y**2 - 1\/14*y**7 - 1\/5*y**6 + 0 - 3\/20*y**5 + 0*y**3 + 23*y. Factor g(j).\nAnswer: -3*j**3*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -552caa + -4?\nAnswer: -552cb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003055682 rounded to 7 dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.6657 - 1.3343. Sort 116, g, 0, 3, 1\/3.\nAnswer: g, 0, 1\/3, 3, 116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88\/12*(-15174)\/3091\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (34 - (3 - 10)) - (-4 - -6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**11)\/c**(1\/17))\/(c**(1\/3))**(-2\/41))**(1\/3) assuming c is positive.\nAnswer: c**(25003\/6273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 0.38. Let i = b - 0.2799958. What is i rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*h*w**4 - 6*h*w + 11*h + 4*w**4 + 2*w**2 - 2*w wrt w.\nAnswer: 96*h*w**2 + 48*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -217 - -220. Solve 3*n = -r*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - k + 1. Let c(t) = 17*t**3 + 34*t**2 - 34*t + 34. Give 34*b(f) - c(f).\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-165)\/60)\/(1\/1)*-4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10106 - 3595. Let d = -624971\/96 + m. Calculate the common denominator of d and 53\/93.\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 1155006 = -2*d, 0*r + 5*r - 4*d + 1154988 = 0. What is r rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/14, 0.06, 1\/2, 1, -15, 0 in ascending order.\nAnswer: -15, -3\/14, 0, 0.06, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 10:43 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 68, -2\/7 in decreasing order.\nAnswer: 68, 16, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.17 (b) -106 (c) -1 (d) -16 (e) -0.25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m - 7. Determine r(-7).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1792\/141 + -38\/3. Which is the closest to 2\/5? (a) 3 (b) v (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5383434 by -2691717.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/13, -2\/9, 2239, 5 in decreasing order.\nAnswer: 2239, 5, 10\/13, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8 plus -4047931?\nAnswer: -4047934.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1242637*b**3*x + 6*b**2*x + 7017063*b*x wrt b.\nAnswer: 7455822*b*x + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.43800253 to four decimal places.\nAnswer: -2.438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 251667785 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 376 and 658.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/2 - 757811*q**2 + 4546847*q\/2 + 7578095 = 0. What is q?\nAnswer: -2, 5, 1515619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 52100477\/2236 + (-3)\/4. Which is bigger: r or 23299?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/8*(-39 - -1). Suppose 0 = -t + o + 43, 2*t - 5*o = 3*t - k. Let l = t - 10. Find the common denominator of l and 37\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244827 is divided by 122394.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -0.2, -0.02, -0.3, 2\/17?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 672000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14.9 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - -454) + -2 + -1. Suppose 9*z = 4*o + 13*z - q, 216 = 2*o - z. What is the highest common divisor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 15*q + 20. Suppose -2*b + 1 = -j, 5 - 20 = 5*j. Let k be (-1 + b)*1\/(-2). Put k, 0, q in increasing order.\nAnswer: q, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 161 or -526?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9702, -12821, -15940, -19059, -22178, -25297?\n\"Answer: -3119*w - 6583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.9 from -0.01587.\nAnswer: 0.88413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 + -229077\nAnswer: -229077.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -53*a**2 + 1. Determine l(-1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1442.6 (b) -1 (c) 7 (d) -2\/11 (e) -35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49666 = -13*g - 49640 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -13 + (0 - 7) + (-3 - (4 + -7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.68 rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1140 = -53*q + 91*q. Suppose s + 6 = -3*c, 0 = s - c - c - 4. Solve 3*t - 23 = -4*w, 4*t + 5*w - q = -s*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 1. Let t(o) = 7*o**3 - o + 1. Let f(d) = -q(d) - t(d). Let n = -6 - -12. Let m = n - 5. What is f(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34396830 divided by -390.\nAnswer: -88197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 572.8 + -573.3. What is the nearest to 1 in 7, 5, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 2.253734.\nAnswer: -1.126867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dug. Give prob of picking 1 u and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 12 = 4*f. Let g(h) = h**2 - 2*h - 3. Let s be g(f). Which is the biggest value? (a) -2\/13 (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 17133381.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 11:45 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 15782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -344\/55 and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6095331 = 83*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + w - 10 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186391153*a + 93195557*a + 93195551*a.\nAnswer: -45*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -122021?\nAnswer: 122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(3\/(-27)*(-3)\/14). Let p(n) = 18*n**2 - 5*n - 2. Let y be p(-9). Let r = y - u. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*j**2*k + 175555*j**2 - 7392*k wrt k?\nAnswer: -18*j**2 - 7392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64.3 + 2040.008.\nAnswer: 1975.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741480?\nAnswer: 2, 3, 5, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 38*x**3 + 3613*x**2 + 271*x - 1275. Give v(-95).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 502\/259?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**3\/6 - a**2\/2 + 1576*a. Let r(u) = -u. Suppose -2*m - 3*k + 3 = -4*k, -k = -5. Give m*r(p) + 3*x(p).\nAnswer: -p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**3 + x**3 - 6 + 8*x**3 - 4*x - 2*x**3 - 2*x**2 to the form w*x**3 + q*x + c + d*x**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 15\/(-90)*52.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(405)*2 + -4 + 2 + sqrt(405)*1 + -5)**2*4 + -3 + 3.\nAnswer: -1512*sqrt(5) + 14778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -p + 2*x, -4*x = 3*p - p - 20. Suppose 0 = -p*c - c - 6. Is c greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-156)*(-130)\/45.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107578 and 228152.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -4 (c) 0.3 (d) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 7*g + 11. Let u(f) = f**2 - 8*f - 12. Let w(a) = -2*a + 44. Let t be w(19). Let n(k) = t*u(k) + 7*b(k). What is n(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-99) + 2\/(-9). Sort -2, r, -9, 1 in descending order.\nAnswer: 1, r, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Suppose 0*p - 6 = -2*p. Suppose -3*g = -r - 1 - 16, -p*r - 11 = -g. Which is the closest to 1? (a) g (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -449, -1125, -2029, -3161, -4521?\n\"Answer: -114*v**2 - 334*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*z + 4*i = 71*z - 84, -15 = 5*i. Solve 2*x + 4*q = 24, 0 = 4*x + 64*q - 67*q + z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -110*o - 691. Let d be q(-8). Calculate the highest common divisor of d and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1722352452 + -2.5851.\nAnswer: -1722352454.5851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.319 + -0.619. Which is the third smallest value? (a) l (b) 13 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25026120?\nAnswer: 2, 3, 5, 7, 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 275*1)*1. Let d = -128 + q. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 14. Are -3 and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1120010121202?\nAnswer: 1120010121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361 + 374 = -13*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -744 - -744. Which is smaller: c or -13\/38?\nAnswer: -13\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -27. What is the remainder when 41 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*t = -75, -5*a - 14 = -3*t - 93. Let l be 8\/(-4) + -2 + 6. Solve 4*v = s - a, -3*v = -5*s + l*v + 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 4 + (0 - 1) - (-6 - -20).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.098527*-3.\nAnswer: 0.295581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5435455 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 3 - 7)*(2 + 0 + 1) - 5 + 0 + 4)*(165 + 121 - 285 + 4208*f) to w + s*f and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 317 = 29. Let g = 117 - p. Solve v = 2*x - 3 + 9, -5*x = -v + g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2096434.\nAnswer: 2, 1048217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5303084 or -5303170?\nAnswer: -5303170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 69187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8dd770 (base 14) in base 13?\nAnswer: 10057c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -661\/5 + 133. Let o = 115\/16 - 313\/48. What is the closest to o in k, -5, -13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*m = 3457, -3*s + 2607 = -2*m + 3*m. Is s a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4960 - -6379. What is the third smallest value in -0.5, -4, -2, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.736512 to two decimal places.\nAnswer: 24.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*i + 808 - 3811. Suppose -j + q = 3*j - i, -4*q + 4 = 0. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8 = -0*m. Let a be (12\/(0 - m))\/(-2). What is the tens digit of -1 - (a + 6 + -27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400756281?\nAnswer: 3, 1153, 115859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4990, -4993, -4998, -5005, -5014?\nAnswer: -5025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2))\/((-1680)\/(-320))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 75*h**4 - 175*h**3 + 105*h**2 - 25*h + 10. Let g(t) = 25*t**4 - 58*t**3 + 35*t**2 - 8*t + 3. Let w(c) = 10*g(c) - 3*j(c). Solve w(s) = 0.\nAnswer: 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 2:05 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327 a factor of 545963011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -3 - -2) + -1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -107 (b) -0.4 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 92, 133, 174?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 + -15 + 3\/1 + 3. Let i(v) = 5 + v**2 + 2*v - 2 - 3. Give i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**2\/3 + 93065*k\/3 - 49498100\/3 = 0?\nAnswer: 548, 18065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 13 + -8 + (-38 - 1)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 15) to base 3\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + -4 - (44 - (18 - -36)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*c**3*h*j*r + 5383567*c**3*h*j + 79831*c**3*h*r - c*h*j wrt r.\nAnswer: -29*c**3*h*j + 79831*c**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 4*z - 32 = 0. Suppose -4*a + z = -3*c - 2, 3*a = c + 10. Suppose 0 = -c*p, 0 = 3*w + 2*p - 4*p - 72. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/55)\/((-32)\/(-40)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 20 + 7 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 + -110?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 788, 16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87\/22 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -3. Let p(k) = k**2 + k. Let g be p(a). Suppose -7*d - 3*j + 129 = -g*d, -d + 4*j + 35 = 0. Is 23 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f - 25*f + 3*f - 30*f.\nAnswer: -38*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 71. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 5*m - 0. Suppose -2*d + m = -2*x, -d = -0*d + x - 35. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 8:46 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8\/5 (b) 5 (c) -5 (d) -2\/5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -11.9 (c) -3 (d) 2\/11 (e) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 3) in base 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i + 3*i - 4*i + 3*i - 25*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7430529 and 516.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -910, -909, -908, -907, -906, -905?\n\"Answer: i - 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -8. Let l = 35 + -13. What is the least common multiple of a and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 4 = -b. Let t = -11 - b. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 6*n**2 - 3*n - 4. Let z be h(-4). Let p = z + 13. Is p\/(-3) + (-8)\/12 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-16 - -6)) + -18 + -5\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 50954*q**2. Let m(k) = 16*k - 4. Determine m(f(g)).\nAnswer: 815264*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - -37. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 12*h - 8. What is v(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30938 is divided by 937.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + v - 18. Let f be ((1\/v)\/(-1))\/1. Let b = 9.3 + -9. What is the third biggest value in b, f, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -19*x. Let i(t) = -41*t. Let h(u) = -6*i(u) + 13*q(u). Give h(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**5\/3 + 7*t**4\/24 - 20*t**2. What is the second derivative of i(q) wrt q?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 692*u + 282 = 786*u. Let x(l) be the second derivative of 0 + 0*l**2 - 17*l - 1\/2*l**u. Let w(q) = -6*q**2. Give w(x(a)).\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 479 = 478 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23357917.\nAnswer: 11, 683, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**2\/2 + 30*p - 8775\/2 = 0?\nAnswer: -65, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 372470 and 2380?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -653 + 648. List the prime factors of -2*(-20)\/(-8)*859\/g.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 18.9. Let f = -0.1 + j. Which is the second smallest value? (a) 0.07 (b) f (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -0.5, -507, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5250, -5036, -4680, -4182, -3542, -2760?\n\"Answer: 71*i**2 + i - 5322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 11466416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and -3070.4.\nAnswer: -76760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*109.\nAnswer: 8.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h + 10 = 0. Suppose -h*g - 35 = 5*s, 2*s - 6*s - 16 = 0. Let j(v) = 5*v. Let m(l) = -l. Let o(c) = g*m(c) - j(c). Let b(w) = -2*w. Give o(b(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 11*h - 8. Let b be r(-10). What is the units digit of 1\/2*8*b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -78 (b) 0.2 (c) -0.5 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -767 + 763 + 1 + 1 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 + 40\/(-22) + 1109\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1945 + 3361. 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 next in 29, 26, 23, 20, 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277231 (base 8) to base 9.\nAnswer: 158317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2217 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5845573936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2. Let m = -345 - -345. Let p(k) be the first derivative of m*k - 4\/3*k**3 - 1 + 0*k**2. Determine p(v(d)).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-6 + -20) - 7. Let k = -511 - -971. What is the highest common divisor of k and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -159, -4, -2, -112 in ascending order.\nAnswer: -159, -112, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*f = 2*f + 246, -246 = -2*q + 3*f. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9 - (-6 + (-1 - -3)). Let s be (-3 - v\/2)*2. Let i be (-54)\/(-16) + -2 + s. Are i and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 20. What is the remainder when o is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 134 or 132?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 9:41 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**4 + f**4 - f**3 + f**2 - 12*f**4 + 0*f**3 + 9*f**4 - 215*f - 3 to b*f**3 + l*f**4 + n*f + p*f**2 + t and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.70885861 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b + 35. Let w be l(-5). Solve 2*g = 0, 0 = 4*p - 2*g + w + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 32 = -3*z, -7*q + z = -6*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 9:27 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 355*l - 38. Is w(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4700 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**4\/12 - 281*m**3\/3 - 563*m**2\/2 - 2*m - 1523. Factor r(g).\nAnswer: (g - 563)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 46 = -11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1970895.\nAnswer: 3, 5, 17, 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1956*g**2 - 123*g wrt g.\nAnswer: 3912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109\/26 + 22\/13. Which is the nearest to -4? (a) t (b) 0 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**3 - u**2 - 23*u**3 + 0*u**3.\nAnswer: -23*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x - 4. Determine h(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**6\/45 - n**4\/24 - n**3\/3 - 11*n. Let v(l) be the second derivative of i(l). Is v(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43594380 and 660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 7*i = 5 + 99 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1202095, -4808382, -10818861, -19233532, -30052395, -43275450?\nAnswer: -58902697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 2*l**2 - 2*l - 2. Let s be v(-2). Suppose 0*i + 16 = s*i. Solve -i = 4*w + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281 (base 9) to base 2.\nAnswer: 11101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 14*r**2 + 3*r + 5. Let y(q) = 13*q**2 + 4*q + 6. Determine -5*l(g) + 6*y(g).\nAnswer: 8*g**2 + 9*g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(5\/8)\/u*u*u\/(u**(-3)*u*u)*(u**(1\/12)\/u)\/u**15 assuming u is positive.\nAnswer: u**(-319\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.33 * 418.9\nAnswer: -138.237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:18 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1194*m + 11973 + 31011 = 0 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 1. Suppose 3*h = 5*h - n. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1289*g - 171*g - 178*g to the form f*g + l and give f.\nAnswer: -1638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*g = -19, 3*g - 58 = -5*c - 18. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1682 and 90?\nAnswer: -151380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f**3)*f)*f\/((f*f**2*f*f)\/f*f)*f*((f\/(f**(-1)\/f))\/f)**(-10\/9))**38 assuming f is positive.\nAnswer: f**(-760\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*x = 12*x - 6*x + 860 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.3 + 3.8. What is the smallest value in j, -0.3, -0.04?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 1947, -19.4 in increasing order.\nAnswer: -19.4, -0.7, 1947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45*r**2 + 70*r - 34 - 70*r wrt r?\nAnswer: -90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7753*o + 43596 = -7746*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 3*v = -10, -5*u + 1 = -0*u + 2*v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5533433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -82396 and -4.\nAnswer: 329584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 73 + -57750?\nAnswer: -57655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 7:12 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104785 and 15935.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-148*q - 173*q + 278*q)*(3 + 2 - 6 + (-2 + 1 + 3)*(2 - 2 + 2)).\nAnswer: -129*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 202*a + 25667. Determine h(-126).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2218417189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 1528155 = 1528134, 5*m = 4*r - 27 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 11d?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41879 is divided by 133.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**2 + 5*k + 14. Let s be r(-4). What is the remainder when s*(-2)\/20*4 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168885197?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1050 - 1064. Suppose 6 = c + 1. Let t = c - p. Calculate the remainder when 35 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5 - 35. Let r = -87 + 87. Suppose r = 3*n + 4*v - 183, 0 = -2*n - p*v + 3*v + 122. Calculate the remainder when n is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 9a82?\nAnswer: -9a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5, -2, 1\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + d**2 - d - 1. Let j(a) = 2*a**3 - 7*a**2 - 2. Give -2*f(g) + j(g).\nAnswer: 4*g**3 - 9*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30.94 - -29.94. What is the smallest value in -0.1, y, -11, 0.1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - ((-14 - 7) + 30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -2*k**3\/27 + 28*k**2\/9 - 2019. Factor u(b).\nAnswer: -2*b*(b - 28)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27279?\nAnswer: 3, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 21 = 5. Let r(z) = -6*z**2 - z + 1. Let v(b) = -3*b**2 + b + 8*b**2 - b. Let s(t) = d*r(t) + 5*v(t). Factor s(w).\nAnswer: (w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 7*z + 2. Let b be p(8). Let r = b - -15. Let t = 43 - r. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -702\/1507, 2, -1\/3.\nAnswer: -702\/1507, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*l - 14, 516*l - 512*l - 3*u - 19 = 0. Factor 1\/2*k**5 + 0 + 0*k - 2*k**2 + l*k**3 - 5\/2*k**4.\nAnswer: k**2*(k - 2)**2*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -139699, -3 in decreasing order.\nAnswer: 19, -3, -139699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t. Let h(n) be the first derivative of 2*n**3\/3 + 1. Calculate f(h(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251123 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 4*w - 23, 13380*q - 8*w = 13377*q - 37 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p. Let q(j) = j. Let z(s) = -5*q(s) + 3*u(s). Let g(n) = -n**2. Calculate g(z(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2422 (b) -2 (c) 1.7 (d) 1 (e) 3\/7 (f) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245267 + 41536 = -8*l + 63989. What are the prime factors of l?\nAnswer: 3, 5, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 49 + 69 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(14)\/sqrt(2) + 0 - sqrt(7)*1*5)*-2.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 22*v**2 - 20*v + 56. What is z(-23)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q**3 - q**4 - 3*q**3)*(2 - 6 + 0) + q**4 - 5*q**4 + 3*q**4 as v*q + f*q**2 + y*q**3 + m + b*q**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 4\/5 (b) -9\/5 (c) 4\/201 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 551a - 3?\nAnswer: 5517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 252 - 56. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278 times -0.3?\nAnswer: -383.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*f + 82. Let q = 569 + -170. Is q\/f*4\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:52 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 1100088.\nAnswer: -1100087.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - 0.12802.\nAnswer: -12.12802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 13*o**2 + 2*o - 5. Let l be d(-12). Let m be (-3)\/(-5) - l\/25. Which is smaller: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 927247327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7380 rounded to the nearest 100?\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.009 - -2.391. Let l = s + -2. Let n = 0.26 + 0.04. Which is the fourth smallest value? (a) n (b) -1\/8 (c) 1\/6 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 388725*z + 274998 wrt z?\nAnswer: 388725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-165)\/27)*(1408\/(-96))\/(-44)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 294 = -13*w. Suppose 0 = -9*k - 5*k - w. Which is the closest to -1? (a) 1\/8 (b) k (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from gubabggwggbg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0 (b) -2\/7 (c) -3 (d) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 1. Let l(i) = 7*i**2 - 8. Let q(w) = 6*a(w) + l(w). What is q(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**5 + 0*i**5 + 3*i**5 - i + i - 6*i**5 + (1 + 2 - 2)*(-i**4 + i**4 + 2*i**5).\nAnswer: -5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**6\/120 + p**5\/30 + p**4\/12 - p**3\/3 + 132*p**2 + 10. Let t be 5 + 0 - (-1 - -2). Let q = t + -6. Determine r(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13122 + -36522?\nAnswer: -52644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -546 in -4.1, -0.07, -2\/5?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*h**2 - 2*h**2 - 316 + 316 + h as c*h + u*h**2 + w and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 0 = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2000*z**2 - 2*z - 7. Let b be v(-5). Let r(x) = -x - b + 50003. Let s(j) = -j**2 + 63*j. Calculate r(s(q)).\nAnswer: q**2 - 63*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h - 13. Let f(s) = -8*s - 14. Let o(a) = 6*f(a) - 7*j(a). Let y be o(-7). Suppose y*q + 28 = 2*q. Calculate the least common multiple of q and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42\/5 of a millennium?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a hour?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 283455196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*c**4 - 20*c**4 + 0*c - 4 - c**3 - 10*c**2 - 27*c**4 - 2*c in the form o*c**2 + p + k*c**4 + q*c**3 + d*c and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2557 + 378431\/148. Let x = q + 565\/296. Do 2 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -11*r - 1. Let z(i) = -11*i. Let f(h) = -2*b(h) + 3*z(h). Calculate the remainder when f(-3) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5443.48289 rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 4*g = -6*s - 1, 0 = s - 3*g - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2. Suppose -14 = -4*g - 3*m, -2*g - 4*m = -0*g - 12. Let a(b) = -g*b - 2*b + b + 13*b**2. Determine u(a(w)).\nAnswer: 169*w**4 - 78*w**3 + 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.1448 and 6896.\nAnswer: 6894.8552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r**2 - 3*r**4 - 6*r - r**4 + 3*r**4 + 3*r as j*r + n*r**3 + q*r**4 + d + s*r**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 14*q**2 - 3*q - 30. Let o be z(-14). Let d(i) = -5*i**2 - 4 - 22*i**3 + o*i**3 - i + 11*i**3. What is d(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 101 = -4*b + 125, -32*w - 195 = b for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37729 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 10:21 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 275*o - 270.\nAnswer: -5*(o + 1)*(o + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/12 (b) -0.02 (c) -2 (d) -62118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*g + 204*g - 421*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuxe when four letters picked without replacement from uueeeuxeuueuexuux.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 715233 and 119490.\nAnswer: 50066310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 34*k**2 + 37*k + 125. Suppose -u + 2*b = 17, 56*b + 123 = -3*u + 53*b. What is p(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3 - 2 - 339*n + 340*n - 2*n**3 + n**4 - 2*n**2 + 5*n**4 to u*n + y*n**4 + b*n**3 + x + s*n**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypppppyppyyy. What is prob of picking 2 y and 2 p?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 l when three letters picked without replacement from lfffffffffflfflflf?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v - 41*v = -51*v + 190 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 466.15*0.05.\nAnswer: 23.3075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 4*v**2 + 1. Let z(n) = -2*n**3 - 7*n**2 - 2. What is 7*f(p) + 4*z(p)?\nAnswer: -p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 53*g**2 - 112*g - 30. Let v(z) = 18*z**2 - 37*z - 10. Let l be (-11 + 13)\/((-4)\/14). Let o(q) = l*v(q) + 2*w(q). Factor o(j).\nAnswer: -5*(j - 2)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.488291 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2564 divide 131176109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 1, h: 2, e: 1, w: 1, r: 1}. Give prob of sequence lr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -76016, -76015, -76014?\n\"Answer: k - 76017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 + 20?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2267703 to the nearest integer?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7106190 divided by -51870\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 97456911 a multiple of 3137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a minute in seconds?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/96)\/((4 + -1)\/(-63)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 8*f**2 - f + 9. Let u be a(8). Let m(x) = 23*x**2 + x - 1. Let i = 16 - 4. What is the remainder when m(u) is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + 593)\/3*1. Suppose 0 = -4*n - 3*w + 401, -2*w - 1 + q = 2*n. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -839, -1654, -2469, -3284, -4099, -4914?\n\"Answer: -815*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 + -1.2. Let m = 3 - l. What is the third biggest value in -3\/8, m, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -3. Let w(j) = -j**3 + j**2. Let k(s) = s**2. Give y*w(d) - 3*k(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6\/11*h + 4\/11*h**3 + 4\/11*h**2 + 2\/11*h**5 + 2\/11 - 6\/11*h**4 = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/9 (b) 2\/3 (c) -2.8 (d) -0.1 (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**4\/12 + 11*t**3\/3 + 105*t**2\/2 + 13*t. Let o be p(-16). Solve -23*w = -20*w - o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -229*y**6\/15 - 1007*y**3\/3 - 31*y**2 - 11. Find the first derivative of b(a) wrt a.\nAnswer: -5496*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b. Let u(h) = 192698*h**2 - 2*h + 1. Give u(l(x)).\nAnswer: 1734282*x**2 + 6*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -1831*n**5 + 187*n**3 - 183*n**3 + 748*n**2 + 1827*n**5 - 748*n**4 = 0.\nAnswer: -187, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkkvcamqqcc. Give prob of sequence vk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274025 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 46 = 4*x + 3*n, -2*x + 28 = -2*n. Suppose 0*m - 3*m - 4*r = 15, 2*m = -5*r - x. What is the remainder when 81 - (3 + m + -3) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*z + 53*z + 169. Solve 0 = 3*x - 5*h + 4 + z, -3*h = x - 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -81216.00964 and -0.05.\nAnswer: -81216.05964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14\/8)\/((-7)\/(-28)). Suppose 0 = 2*h - 2*y - 2, 0 = t*h - 11*h + y + 1. Factor -1\/2*j**2 - 1\/2*j + h.\nAnswer: -j*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -9*u**2 + 25*u + 7. Let a(c) = 26 - 5 - 6*c**2 + 17*c - 7 - 9. Determine -7*a(s) + 5*z(s).\nAnswer: -3*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -9*g**2 + g. Suppose -3*h = -h - 6. Let x be 3 + 0\/h - 2. Give y(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535*q - 16 = -2*t + 531*q, -5*t - 12 = -3*q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15409 + -6757. Suppose -4*m = 4*n - u, 5*n - 3020 = 3*m - 9493. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*m - 6. Let a(q) = 0*q**3 + 0 - 3 - 2 - m*q**2 + 7*q + q**3. Calculate a(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502418 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-319*l**4 - 658*l**4 + 1220*l**4)*(1 + 3 - 2*l - 1).\nAnswer: -486*l**5 + 729*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14*(-76)\/(-24))\/((-2)\/(-24)).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 717 - -1849. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -7, -2, 7, 20, 37, 58?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h - 30*h = -5*n + 60, 4*n - 25 = 5*h + 6*n for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + k + 2, -5*k + 8 = 2*y + 2*y. Let x be y\/6*(-3 + -7). Suppose -4*m + 27 + 21 = 0. Solve x*u + m = -3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448573?\nAnswer: 607, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 2179, 14, 0, -16 in ascending order.\nAnswer: -16, 0, 4, 5, 14, 2179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -39*c + 8 - 16*c + 32*c. Let w(s) = 15*s - 5. What is -5*m(n) - 8*w(n)?\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a = 6. Solve 0 = -5*r + 2*t - 1, -a*r + 5*t - 16 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -3*s + 4*s + 250 - 248, 0*t + t = -2*s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*l**2 - 268*l\/9 + 2\/9 = 0. What is l?\nAnswer: -1, 1\/135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + 0. Let n be ((-4)\/(-20))\/((-3)\/(-75)). Let j be 8\/32 - 231\/44. Which is the third smallest value? (a) n (b) z (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*n**2 - 38*n**2 + 7*n**2)*(1 - 2*n**2 - 1) + (-5*n**2 + 5*n**2 - 2*n**2)*(1 - 1 + n**2) to a*n**3 + f*n + b + g*n**4 + q*n**2 and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, x: 1, e: 9, n: 6}. Give prob of sequence inx.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 42*z**2 - 166*z + 1. Let m be o(4). Solve 0 = -m*v + 18 - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.1 + -4. Let u = p + 0.5. Let y = -0.2 - -1.2. What is the closest to -1 in u, -2, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26544 and 192444?\nAnswer: 769776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-32)\/80)\/(4\/(-5)). Let f = 21 - 83\/4. Determine l so that -f*l**2 - 1\/4*l + t = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1217 (base 11) to base 9\nAnswer: -2157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**3 + 207978*q**2 + 623920*q + 415944 = 0.\nAnswer: -103986, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 6. Suppose 4*x + 5 = -2*w + 49, 0 = -w - 3*x + 27. What is the highest common factor of f and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 2*s**3\/21 - 2*s**2\/7 + 13. Determine g so that b(g) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80006106 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a**2 + 1. Suppose 20 = -5*p, 9 = 3*w - 2*p - p. Let s be c(w). Let l be 12\/2*(-3)\/s. Solve l*d = y - 11, 0*y - 18 = -3*y + 4*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24369041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 3) + (-6 - -12 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 < 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*r + 11*r - 4*r - 6*r to the form j*r + p and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -385 - -551. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -426*g + 583*g - 3796 - 600 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.106868 + 0.107. Round m to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 220, 172, 124, 76?\n\"Answer: -48*b + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 6. Let l be j(0). Let f = l - -3. Let w be ((-12)\/(-10))\/(f\/30). Let d(r) = r**2 - 6*r + 2. What is d(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 6*k - 4*d, -437*d = k - 436*d - 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61294*c*t**2 - 8629*c*t - c wrt t?\nAnswer: -122588*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -37 - (-1 + 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/(293319\/(-127312)) - (-6)\/(-117).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**9\/1008 - x**8\/280 + x**7\/280 - 7*x**3\/3 + 8. Let k(c) be the third derivative of b(c). Factor k(f).\nAnswer: 3*f**3*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p + 3. Let f be w(4). Let i(u) = -2*u - 1. Let j be i(f). Suppose -6 = -2*y - 3*b + j, -b = -4*y + 23. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/4, 5, -40 in ascending order.\nAnswer: -40, -13\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1ab2 - 247?\nAnswer: -2029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -440822, -881650, -1322478, -1763306?\n\"Answer: -440828*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4411 (base 11) to base 14.\nAnswer: 219a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2159*s - 3. Determine k(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (447\/4 + -3)*4. Let w = 37 + t. Suppose -n = -843 - w. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 10 = 4*z. What is the common denominator of -83\/8 and 850\/60 + z\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -406*s. Let m(y) = -13*y - 308. What is f(m(z))?\nAnswer: 5278*z + 125048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-1)\/(-4)))\/((-7)\/252*-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - t - 183, 3*o + 72 = 4*o - 4*t. Solve o*x = 90*x + 120 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 297 - 296. What is the common denominator of 127\/18 and (4075\/1350 + t + -4)*-73?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*q = -26, 2*m - 5 = q + 6. Let l(s) = -s**3 + 6*s**2 + 8*s - 7. Let h be l(m). Solve 0 = f - h*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.576.\nAnswer: -0.1728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 15 + 97 = 0. Let o = l + -13. Suppose -4*u - 11 = h, -6*u + 3*u = -5*h - 9. Let w(j) = 1. Let i(a) = -2*a + 7. Determine h*w(p) + o*i(p).\nAnswer: -2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 0.019, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 9:36 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 812700*d + 33024064500.\nAnswer: 5*(d - 81270)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -157 - -11552?\nAnswer: 11373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10\/6034501?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.119 != -0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 1 + 1)*(1 + 1 + 0) + 83*l + 10*l - 20*l.\nAnswer: 75*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103011 - 32001011?\nAnswer: -31232000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, m: 2}. What is prob of sequence smm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 + 3*z - 27. Let c(f) = f. What is c(q(w))?\nAnswer: 3*w**2 + 3*w - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 6.9. Let x = -0.42 - -0.12. What is the second biggest value in 2\/7, x, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g**3 + g**2 + 6*g + 5. Let f(i) = 19*i**3 + 2*i**2 + 13*i + 11. Give 6*f(n) - 13*x(n).\nAnswer: -3*n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703 is divided by 354?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 2) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1))\/l*(l\/(l*l**(-3)))\/l)\/(l*l\/(l**(-7)\/l)*(((l**(5\/3)*l)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(17) + sqrt(17) + 1)*2 - sqrt(204)\/((sqrt(120)*2)\/sqrt(10))) + (((sqrt(34) + sqrt(34) + sqrt(306))\/sqrt(2))**2 - 4*sqrt(51)\/sqrt(3))*-3.\nAnswer: -1277 + 15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -464*h + 2592. Determine r(9).\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1748.4 + 1748. What is the second biggest value in 15, 3\/5, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3113 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 19*z - 3. Let k be o(4). Suppose -k*s + 40*s = -272. Suppose -3 = -4*q + 3*q. Solve -3*r - s = l, q*r = l - 2*r - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 18626728.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 7:05 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -13*l**4\/4 - 3*l**2 - 13. What is the second derivative of o(y) wrt y?\nAnswer: -78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, z: 1, x: 1, q: 3, v: 2, n: 4}. Give prob of sequence vezn.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3\/14 (b) 2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1130330 - -10112?\nAnswer: 1201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 301392648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v + 6*v)*(2 - 2 - 1).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from {p: 3, e: 1, s: 7, u: 1, y: 1}?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w - 36 = 0. Let t(n) = -2*n + 24. Let k be t(w). Suppose -4*u + 0 + 8 = k. Solve -p + 1 - u = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (1 - 0 - 1). Suppose q = 4*a + 15 - 3. Let m = -1.1 + 1. Sort m, -0.5, a in ascending order.\nAnswer: a, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {l: 3, p: 1, u: 5, c: 1, h: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*n + 14*n - 10*n)*(-3*n - n + 2*n) + n**2 - 3*n**2 + n**2 + (5*n + 3*n - 4*n)*(-n + 5*n - 2*n).\nAnswer: 35*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 7*s - 8. Let x be c(8). Sort -2, 5, x in decreasing order.\nAnswer: 5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmuum. What is prob of sequence umm?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7064*3\nAnswer: 21192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40\/15*18\/4. Suppose -y = -9 - i. Solve 6 = 3*j + y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knuk when four letters picked without replacement from knkksuqkuknn?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**2 + 11*g - 58. Let n be a(4). Suppose -14 = -t - 5*f + 4, n = 3*t + f. Solve -7*u = 7 + t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -3. Suppose k*n - 34 = -2. Calculate the smallest common multiple of 12 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)*t*t\/(t**6*t)*t**5*t*(t**(1\/6)*t)\/t)**40 assuming t is positive.\nAnswer: t**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w + 75301 - 75301 - 6*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -6 - ((-99)\/(-6))\/((-9)\/198) is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (228 - -28)*(-1)\/(2\/(-2)). Suppose 2*o - b = j + 637, b - 895 = -2*o. Is 86 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 g when three letters picked without replacement from gcccigggccgcgcgcggcc?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 255 + -3?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 + -2 + -1 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8626202.25 to the nearest ten thousand.\nAnswer: -8630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-240))\/((-14)\/(-56)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 7:49 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 17497264.\nAnswer: 3499452.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2)\/(625 + -630).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.740369 litres to millilitres.\nAnswer: 8740.369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183 - 2*y**3 - 183 + 72*y - 72*y.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p - 2*x = -199, -5*x + 277 = 4*p. Suppose 0 = 3*n - 2*y - 15, -2*y = n - 5*y + 2. Calculate the greatest common factor of p and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9320 and 18.06.\nAnswer: 168319.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6300)*-4)\/(2*sqrt(9)*2) - ((sqrt(504)*2 + sqrt(504) - sqrt(504))\/sqrt(8))\/((sqrt(81) + sqrt(81)*1 + sqrt(81))\/sqrt(9)).\nAnswer: -32*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69 - (-3 + 1)) + (118 - 8 - 117)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + (5*5*sqrt(252) - ((sqrt(252) - (-3 + sqrt(252)) - sqrt(252)) + -1)))**2.\nAnswer: -1872*sqrt(7) + 170383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 20 = 4*b - l - 54, 0 = -5*l - 55 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -3*y + 58, 357*a + 423*a - 784*a - 26 = -3*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36296\/24 + 4 + -7*(-8)\/84?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 2586308720*t + 334449639757401920.\nAnswer: 5*(t - 258630872)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 + 121*c**2 + 187*c - 63. Determine z(62).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 13*t - 30, -27 = -4*f + t + 5*t - 3*t for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.17 and 5.\nAnswer: -1.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*k + 2*g + 35, -5 = g. What is the remainder when 7 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2025 + -666. Let s be 9\/30 - w\/930. Is -2 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1911 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2401 (base 7) to base 14\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -18*p**2 + 1. Let c be o(-1). Let g = c - -15. Let u = 3\/1012 + -1039\/9108. What is the nearest to g in u, 5, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7637083059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 81, 81, 77, 69, 57, 41?\n\"Answer: -2*j**2 + 6*j + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1678242 (base 10) to base 5\nAnswer: -412200432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - s = 238, 4*t - 234 = -0*t + 3*s. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**7\/5040 + y**6\/180 - y**5\/30 + 2*y**2. Let m(i) be the third derivative of a(i). Is 2 a factor of m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 414 and 1311?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 392151231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -158, -159, -160, -161?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjeejjejeejee. Give prob of picking 2 j.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1607284?\nAnswer: 2, 7, 137, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154 + 77. Does -78 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2333141735.\nAnswer: 5, 23, 20288189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54 + 41 + 39*w - 46 wrt w?\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 11:21 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/40 and -26\/115?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dd - -4505?\nAnswer: 45e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1009.07 + -1004.9. Which is the nearest to w? (a) 0.3 (b) -2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 3:48 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**2 + 3*d + 1. Let y(g) = 10*g**2 + 6*g + 2. Give 9*v(f) - 4*y(f).\nAnswer: 5*f**2 + 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13064 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 15. What is the biggest value in -1\/7, -4, l?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (76\/(-266))\/(8\/(-60)*-5)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z. Let m = 97 + -97. Let l(c) be the first derivative of 1\/3*c**3 + m*c - 4 + 0*c**2. What is l(o(g))?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 1\/3, -66\/5, 33 in ascending order.\nAnswer: -66\/5, 1\/3, 4\/5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 860 - 513. Suppose 348*s - 756 = c*s. Is s a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.0994, -0.3, -0.036, 3, -5 in decreasing order.\nAnswer: 3, 1, 0.0994, -0.036, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**3\/2 - q**2\/2 + 34068*q. Let z(w) = -w**3 + 6*w**2 - 5*w - 2. Let u be z(4). Suppose 2*a - u = -0*a. Give j(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3184*z**2 + 3190*z**2 + 3180*z**2 - 9555*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 10. Suppose 4*a + y*v + 12 = -0, 2*v + 8 = 3*a. Suppose -2*z - g + 6 = a, -g - 2 = -z - 2*g. Solve -x - 2*l = -0*x - 8, 3*x - z = 4*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 2*p - 14, 0 = 3*g + 4*p + 19 - 45 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 5. Suppose -5*x + 41 = -r, 2*r - 3*r = -4*x + 32. What is the units digit of m(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -239345, -957410, -2154193, -3829700, -5983937, -8616910, -11728625, -15319088?\n\"Answer: -m**3 - 239353*m**2 + m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 14 = 106*g - 111*g, 4*g = -3*r + 15. Solve g*x + 104 = 98 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 + 0.5. Let j = -0.5 - r. Which is the closest to -1? (a) -0.5 (b) j (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w - 4. Suppose k = -5*i - 5, k + 3 = -3*i - 2. Let t(a) = -a + 1 + 0 + i. Let j be (-3)\/9 + ((-28)\/(-12) - 3). Determine j*c(r) - 4*t(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 235, 305, 401, 523, 671?\nAnswer: 845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 26*i**2 - 36*i + 51. Let x(h) = h**2 + h - 1. Let f(g) = -l(g) - 3*x(g). What is the tens digit of f(24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/600 and 21\/60184.\nAnswer: 4513800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/2, 247, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39688 - -67382. List the prime factors of k.\nAnswer: 2, 61, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 + a + 2. Let k be g(-1). Suppose 2*j + 9*n = k*n + 351, 4*n + 324 = 2*j. Suppose j + 57 = 5*t. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 875 - 880. Let y = p - -260. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -385, 0, 3, 22.\nAnswer: -385, 0, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9740*f - 9277*f + 19628*f - 3137*f + 23935*f.\nAnswer: 40889*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 44 + 2 = 2*v, 4*v - 78 = -3*h. What is the second derivative of 6*n**4 + n - v*n**4 + 6*n**4 wrt n?\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222472 = -10*n + 634432. Suppose 14*f = 26*f - n. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 9*d + 10. Let a be q(-10). Suppose -2*i = a, -3*t - 4*i = -5*i - 60. Let m = 34 - t. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(114) - -2*sqrt(114)))\/(4*((sqrt(18)\/sqrt(3) - sqrt(6)) + sqrt(6))).\nAnswer: 9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 4 (c) 2\/11 (d) 7 (e) -15 (f) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 - 54. Suppose -5*v = -v + 3*y - 37, 3*y = -c. Sort 3, v, -3 in ascending order.\nAnswer: -3, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 3*g = -5*a - 40, 0 = a - g + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2\/2 + 21671*f + 2722608 = 0.\nAnswer: -43216, -126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26738, -26653, -26548, -26429, -26302, -26173, -26048, -25933?\n\"Answer: -x**3 + 16*x**2 + 44*x - 26797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 64*y**2 - 141*y + 314. What is the lowest common multiple of 1710 and w(-62)?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*(h\/(h\/(h*h**(2\/11)))*h)\/h*h))**42*h**(-1\/9)*h*(h\/h**(6\/5)*h)\/h*h assuming h is positive.\nAnswer: h**(-44524\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 2*q + 4 = 0, 5*x = 3*q + 93. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398523413.\nAnswer: 1657, 240509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, n: 1, d: 1, z: 1}. Give prob of sequence zn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 280 = 27*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89423\/18 + 4970. What is the common denominator of 5\/15*(-198)\/40 and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -19*i**3 - 27*i**2 + 51*i - 45. Let f(q) = 7*q**3 + 10*q**2 - 17*q + 15. Let d(w) = 8*f(w) + 3*n(w). What is k in d(k) = 0?\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*b + 5168, -2*j - 351 = b - 2935. Suppose -12 = -3*u, 8*u - 3*u = -2*t + j. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(6\/17)*k\/k**17 assuming k is positive.\nAnswer: k**(-266\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 76\/5 (b) 0 (c) -3\/2 (d) 1731 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 f, and 1 a when four letters picked without replacement from {s: 2, a: 8, w: 2, f: 7}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*(3 + (-108)\/44).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14112 + 4?\nAnswer: -14105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3109 is divided by 1507?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 - -2. Let z = n + -0.1. Is z smaller than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**4\/2 + 1161*t**3\/2 - 519849*t**2\/2 - 203214369*t\/2 - 302466681 = 0.\nAnswer: -401, -3, 418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -68 + 31 - 14*i + 34. Let m be z(-1). What is the highest common divisor of 88 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 6*m + 615 = 0. Let g(q) = -4*q + 168. Calculate the least common multiple of g(m) and 50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14\/63 - 5\/(-18))*3056.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from {d: 4, t: 6, r: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 712122, 1424244, 2136364, 2848482, 3560598, 4272712, 4984824?\n\"Answer: -o**2 + 712125*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffnfffff. Give prob of picking 1 n and 1 f.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2752312172.\nAnswer: 2, 17, 40475179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (235710\/6984)\/(18\/8)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -40*s**3 + 7*s**2 - 13*s - 10. Let g be o(-9). Suppose -4*k = -31510 - g. Suppose 2*m + k = -112664. What is m rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59702965 - -3?\nAnswer: -59702962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 331020 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*p - 6210 = 51*p. Calculate the greatest common factor of 45 and p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123548975 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5202336, -10404664, -15606986, -20809302?\n\"Answer: 3*i**2 - 5202337*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32, 156\/5, -2, 15?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 56*s - 4. What is the remainder when v(1) is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -507*l**2 - 25999*l + 46211. Give z(-53).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3951 - -24c?\nAnswer: -3702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*l**2*n**3 - 15*l**2 - l*n**2 - 12*n wrt n?\nAnswer: 234*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -785 - -825.1. Round w to 0 dps.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 1. Suppose -17*j + 34 = 16*j - 16*j. Let o(u) = -3*u**2 + 1. What is j*c(k) + o(k)?\nAnswer: -k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 2*x + 2, 4 - 3 = -x + 2*c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48251 and 0.5.\nAnswer: 24125.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 - 1488*j - 2*j**2 + 3*j**2 + 2402*j.\nAnswer: 5*j**2 + 914*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*r - 1. Let c(s) = s - 2*s**2 + 4 + 2*s**r + s**2 + 3*s. Give c(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -176*i - 10. Let c(w) = -352*w - 17. Calculate -3*c(r) + 5*f(r).\nAnswer: 176*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 4.96. Let b = 0.36 + t. What is the biggest value in -2\/21, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 2:37 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 0 - 4*s - 1\/20*s**5 + 0*s**2 + 1\/2*s**3 + 0*s**4. Find the second derivative of x(b) wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -42*z**2 - 27*z - 7. Let m(p) = -21*p**2 - 14*p - 4. Let l(a) = 4*b(a) - 7*m(a). Find the second derivative of l(k) wrt k.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Let m(u) = -u**3 + 2*u**2 + u. Let x be m(d). Let i(a) = 2*a**2 - 5 + a**3 + 0*a**2 + 4 - 3*a**2. Determine i(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.2751165 + 590.9645\nAnswer: 588.6893835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 175.21\nAnswer: -35.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 160700 rounded to the nearest one thousand?\nAnswer: 161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o = 150. Let p be o\/(-8) + (-2)\/8. Let k be (-5)\/(217\/(-93) + 9\/6). Put k, -3, p in decreasing order.\nAnswer: k, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*h = 3*l - 236*h - 14672, 9783 = 2*l + 3*h. What is the greatest common divisor of l and 528?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -472 + 88. Let n = 383.999999029 + l. Round n to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.3 + 3.25. Let o = h - -0.06. Which is the second biggest value? (a) 1\/2 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 14, 5, 0.9, 1\/5 in increasing order.\nAnswer: 1\/5, 0.9, 1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 0*m**2 - 1\/6*m**3 + 0 + 5*m. Let s(f) = 2*f. What is s(x(b))?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 5)*(5 + -1)\/(-2). Let -18*x + 3*x**2 + 9*x + i + 27*x + 23 = 0. What is x?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**3*w**2 - 30941*h**3*w - 8*h**3 - 5*h**2*w**2 - 3*h**2*w - 701*h**2 + h*w + w**2 - 19 wrt h?\nAnswer: -12*w**2 - 185646*w - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -2 + (-86)\/(-48). Let d = 5\/6 + j. Let v = -35 + 135\/2. What is the common denominator of v and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 5:51 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 760\/15*((-456)\/20)\/19*50\/40\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 3, u: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14983945.\nAnswer: 5, 2996789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v = 103*v + 568 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68819*t + 5 = 68820*t - 3*o, 0*o - o + 9 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - c**2 + (c - 4*c + 2*c)*(1 - 1 - 2*c) + 2*c**2 + 2*c - 2*c - 4 + 4 + c**2 + 5*c**2 - 17 + c + 17.\nAnswer: 9*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310810 is divided by 46?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 + 3*c**3 - 5*c**3 + (2*c**3 + 5*c**3 - 3*c**3)*(4 + 3 - 5) + (4*c - 4*c - 2*c**2)*(5 + 5*c - 5) + 0*c**3 + 6*c**3 - 4*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 291354, 582702, 874050, 1165398, 1456746?\n\"Answer: 291348*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2592 is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1065 - 2.\nAnswer: -1067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 170 - 167. Solve u*f = -5*c - f - 6, -5*f + 15 = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*((-15)\/6)\/(390\/(-156)))\/((-10)\/148)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 844.71 - 883.6. Let h = q + 38. Let t = h - -0.33. Round t to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.6 * -10.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10635426, -10635424, -10635422?\n\"Answer: 2*w - 10635428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + i = b + 115, 5*b - 3*i = -149. Let z = -24 - b. Suppose 1867 = z*q - 217. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 5. Let t(n) = -6*n**2 + 5*n - 69. What is -5*r(j) - t(j)?\nAnswer: j**2 - 5*j + 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -20. Let l = -16 - a. Suppose l*o - 3796 = 8169. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 14*g - 1. Let y(p) = -27*p + 1. Let u be (15 + -4 - 7)*(-21)\/28. What is u*y(j) - 5*s(j)?\nAnswer: 11*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a hour in seconds?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**2\/2 + 2*f + 2. What is the tens digit of k(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 11. Let b = n - -9. Let s = -3 + -2. What is the second biggest value in 3, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(-s + 2*s - 3*s + 34*s + 59*s - 22*s + (-3*s + 2*s - s)*(0 + 1 + 0)).\nAnswer: 67*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11555 and 710.\nAnswer: 1640810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 997785.6ug in grams?\nAnswer: 0.9977856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -42. Solve 0 = 2*l - 0*g + 3*g + y, -3*l - 4*g - 32 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 410069*u**3 - 205040*u**3 - 205031*u**3 - 5*u**2.\nAnswer: -2*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 times 0.3?\nAnswer: -71.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i + 3. Let s(d) = -30*d + 22. Let q(u) = 44*p(u) - 6*s(u). Let l(k) be the second derivative of -k**4\/4 - 2*k. What is l(q(z))?\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 3999842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 - 2354*l**2\/9 + 689120*l\/9 + 696200\/3.\nAnswer: 2*(l - 590)**2*(l + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1434, -2876, -4334, -5814, -7322, -8864, -10446?\nAnswer: -12074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-1) + (-4)\/(-4). Find the common denominator of 38\/3*m\/12 and -27\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.15 - 1.35. Let v = -3 - 1. Which is the nearest to 2? (a) 0.4 (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 833139 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2407127 to the power of 1\/2, to the nearest integer?\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -132 and 0.09.\nAnswer: -11.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x + 326 - 411 = 539. Let r(q) = -q**3 - 12*q**2 - 5*q - 56. Calculate r(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112705515?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 216 = -4*i + 7*i, -4*v = i - 208. What is the derivative of -27*x + 31*x**2 - 62 + 27*x + v*x**2 wrt x?\nAnswer: 164*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 903, 923, 943, 963, 983, 1003?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90520711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*(a*a*a\/(a\/a**(-4\/11)))\/a)\/a))**(-44)\/(a**(-20)\/a**(-5)))**(2\/37) assuming a is positive.\nAnswer: a**(-2\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3\/3 + 62*t**2 + 10878*t - 1059606 = 0?\nAnswer: -129, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 4\/3*i**2 - 44\/9*i**3 + 1 + 119\/15*i**5 + 49\/18*i**6 + 0*i + 3\/2*i**4. What is g in c(g) = 0?\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5958, 11897, 17820, 23727, 29618, 35493, 41352?\n\"Answer: -8*d**2 + 5963*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 7*g**2 - 8*g + 9. Let r(y) = -y**3 + 6*y**2 - 8. Let h be r(6). What is b(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {e: 5, h: 13}?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h. Let g = -19 + 21. Suppose -34 + 9 = -5*k. Solve h = -3*t + k*c + 2, g*c + 2*c = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 144796 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*22274\nAnswer: -4454.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 417*h*n**3 + 350*n**3 with respect to h.\nAnswer: 417*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*o + 33*o - 1659294*o**3 + 1658919*o**3 - 71*o.\nAnswer: -375*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 1\/25, -3\/235, 6\/5, -1.1, 1, -2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(252) + 1 + 0)**2 + (1 + sqrt(252) + 1 - -1*(-2*sqrt(252) + sqrt(252)))).\nAnswer: -1548 - 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3871 = 5*j - 1814, -3*a = -2*j + 2283. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/104 and -7\/9236.\nAnswer: 240136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**2 - 75*w + 162 = 0. Calculate w.\nAnswer: -27, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - l + 3*l)*(-5*l - 5*l + 4*l) + 13*l**2 + 5*l**2 - 6*l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -0.8 (c) 0.3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2792923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 39332738009789 + 3\nAnswer: 39332738009792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -280231074*q**4 - 452956373*q**2 wrt q.\nAnswer: -6725545776*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -10*s + 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + -0.7. Let y(t) = -3*t - 1. Let x be y(1). Let w = 1 + -2. Which is the closest to j? (a) 1\/4 (b) x (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 43. Let l be (-3)\/((-5)\/(-2 + t)). Suppose -l*y - 26 = -n, -4*n = -0*n - y - 49. Calculate the greatest common factor of n and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194 = 2*d - 204, 0 = -o - 2*d + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 7\/(7\/2). Let d be (-1)\/(4 + (-287)\/70). What is the third derivative of p**3 + 2*p**2 - 35*p**3 + d*p**3 + 3*p**n wrt p?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53044465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(20) + (sqrt(20) - sqrt(320)))\/sqrt(10))*-3.\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 114018197, 228036398, 342054599, 456072800, 570091001?\n\"Answer: 114018201*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -108*l**2. Let d(z) = 5*z**2. Calculate d(g(o)).\nAnswer: 58320*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 9, -27, 0.4?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/3 - 57*t**4 - 531*t**3 - 1611*t**2 - 1620*t = 0. Calculate t.\nAnswer: -3, 0, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2 + 2)*(-3*t**2 + 3*t**2 - 2*t**2) + (-4*t + 5*t + t)*(6 - 6 - 2*t**2).\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*n + 7*n + 29*n - 3*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -4*f - 3*l, -271*f - 8 = -271*f + 2*l for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29615922*-0.32.\nAnswer: -9477095.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - p - 3*p)*(-p - 4*p + 3*p)*((3*p - 2*p - 2*p)*(p + 3*p - 6*p) - p**2 + 0 + 0 + 1 - 1 + 2*p**2).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8772387 by 559.\nAnswer: -15693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 13*l**2 + 9*l - 7. Is k(-5) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15214343*y + 7614267 wrt y?\nAnswer: 15214343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66803689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 1 = -3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/35 and -27\/40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-360)*5)\/(1\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (248\/(-35) + 7)\/(10\/(-35)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 305*q**3 - 4402*q**2 + 2*q + 5482200.\nAnswer: 1830*q - 8804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12750*b - 6321*b + 12617*b + 20959*b + 2886*b.\nAnswer: 42891*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.016 and -62.\nAnswer: 0.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -17 + 2 + -2. Suppose -1575 = 104*l + l - 0*l. Are y and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (45\/(-25))\/(21\/105) - -29700.\nAnswer: 3, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -8. Put -5, 0.4, -0.5, o in descending order.\nAnswer: o, 0.4, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5404 + 5404 + 212*g**3 + g to f*g**3 + a*g + t*g**2 + u and give f.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -121aa?\nAnswer: -12201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2049320942?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*c + 16*c + 13*c)*(-6*c + 6*c - 6*c**2) + (4*c**3 - 1 + 1)*(2 - 2 + 2) as h*c**3 + v + o*c + z*c**2 and give h.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 8:18 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-7 + -3 + -3 + 5 + 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -5, -1.31?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 385 and -0.2?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 12) in base 15?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-26)\/(-117) - 716\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5759 rounded to 2 decimal places?\nAnswer: -1.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i + 0 - 4*i + 2)*(-23*i**2 - 55*i**2 + 246*i**2) to the form k*i**3 + z*i**2 + j + b*i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 9714100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 200*l**2 + 4*l + 27. What are the prime factors of m(-4)?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20057 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27018, -27065, -27158, -27309, -27530, -27833, -28230, -28733?\n\"Answer: -2*p**3 - 11*p**2 - 27005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 2.101?\nAnswer: 2.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m**5 + 44*m**4 + 24*m**3 - 236*m**2 + 32*m + 240 = 0. Calculate m.\nAnswer: -2, -1, 3\/2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12846, -12848, -12850, -12852?\nAnswer: -12854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -201 + 206. Solve -5*g = -x*y - 20, 2*y = g - 4*g - 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -82.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**3 - 3*s**2 + 2*s + 3. Let c(x) = -18*x + 50. Let j be c(3). Let q(z) = -6*z**3 - 4*z**2 + 2*z + 4. What is j*f(t) + 3*q(t)?\nAnswer: 2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17000726 (base 8) in base 2?\nAnswer: 1111000000000111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14 + 1)\/((-3)\/28). Let p(n) = -n**3 - n**2 - 35*n + 65. Let b be p(5). Let a = u - b. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + p + p)*(2 - 6 + 0) + (-5 + 7 + 6)*(3*p - 2*p - 3*p) + 2*p - 4*p + p to i*p + z and give i.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**3 - 4*f**2 + 6*f - 6. Let a = -725 - -742. Let k(p) = 9*p**3 + 12*p**2 - 17*p + 17. Give a*o(m) + 6*k(m).\nAnswer: 3*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/7)\/(2\/14). Suppose u - 10 = a*u. Let q(l) = -7 + 3*l - 4*l + 4. What is q(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 168201800 to the nearest 100000.\nAnswer: 168200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2233620 and -23\/893448.\nAnswer: 4467240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37003722 - -603722. Round f to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.118026 to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1343*p + 1334*p + 1334*p - 10*p**2 - 5352*p + 1341*p.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1558 - -1562. Solve 16 = -4*g + c*b - 8, -4*g + 2*b - 22 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256, 101, -152, -503?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6874 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**3\/6 - 3*c**2\/2 + 64*c + 9. Give z(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/4*y + 3\/2 + 3*y**2 + 3\/4*y**3.\nAnswer: 3*(y + 1)**2*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3))\/((-10)\/15). Sort n, -0.4, 2 in decreasing order.\nAnswer: 2, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*q - 3. Let g be (0 - (-2)\/(-74))\/(81\/36 + -2). Are q and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojoojoojooooooooooj. Give prob of sequence jooj.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfydyyfyjzzddddfz. Give prob of picking 1 z, 1 d, and 1 f.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 15. Let o be c(-7). Suppose -t = 3*t - o. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**3\/3 + 3*p**2 + 2*p - 156. Suppose -i = m + 2 - 14, 2*i + 6 = 4*m. What is the remainder when 38 is divided by x(i)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 476 and 20004614?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (20\/9 - (-10)\/(-45)) + 12402\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*i + 0)*(-2*i**2 + 3*i**2 - 3*i**2) - i**2 + 76*i**3 + 59*i**3 + 0*i**2 to u*i**3 + j*i + q*i**2 + s and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 1. Let y be f(3). Let r be (-3)\/y*(0 + -4). Let w(t) = 3. Let x(h) = h. Let v(k) = w(k) - x(k). What is v(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-2)*(-6)\/(-9). Let x = -0.4 - -0.6. Suppose r + 2*t = 9, -4*t + 21 = 5*r - 0*t. Which is the second biggest value? (a) y (b) 5\/3 (c) x (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d - 12. What is the tens digit of h(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c + c96d?\nAnswer: c941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-671235)\/292)\/(1\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/7 and -119\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 117031 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 44*l - 1. Let v be 20\/8 + (-3)\/2. Let a be x(v). Let m = -248\/5 + a. Find the common denominator of 59\/9 and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8946*w**5 + 17*w**2 - 212*w wrt w?\nAnswer: 536760*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 997, 1850, 4151, 8626, 16001, 27002?\nAnswer: 42355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2024\/121)\/(-4) - -4\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 38. What is the units digit of (39\/4)\/(4\/h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1728 divided by -3.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 42.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 33. Suppose -81 = h*z - 101. Calculate the remainder when 54 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q**3 + 9*q + 9. Let n(v) = -7*v**3 + v**2 - 7*v - 7. Determine -5*n(x) - 4*r(x).\nAnswer: 11*x**3 - 5*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 0*b**3 + 7*b - 7\/20*b**5 - 4*b**2 + 0*b**4 + 0. What is the first derivative of j(l) wrt l?\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooxooooo.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 2)*(-4 + 3 + 0) + (0 - 3 + 1)*(0 - 1 + 0))*(a**2 - 2*a**2 - 2*a**2).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*y**2 - 2*y**2 + 8*y**2.\nAnswer: -110*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44, -84, -124?\n\"Answer: -40*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55242 is divided by 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 3*f - 3*f)*(-61*f - 54*f + 23*f) - 10*f + 10*f + 5*f**3.\nAnswer: -87*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 7:00 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2051 = -4*g + 1915. Let w be g\/4*(-17)\/(204\/48). Sort w, -4, -0.2 in ascending order.\nAnswer: -4, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/3)*l*l*l**(1\/11))\/(l**(1\/3))**(-48)*((l**(-2\/9))**(-35))**(-34\/5) assuming l is positive.\nAnswer: l**(-3379\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 8. Let d be n(8). Suppose 2*u - 3*f = -89, d = -u + 5*f - f - 52. Let j be u\/(-8) + (-6)\/2. Solve 0*h + 2 = -j*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174*((-15)\/10)\/((-3)\/1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 10 = -4*s + 3*m, 5*m - 18 = -4*s. Find the first derivative of -13 + 3*f**2 + s*f**2 - 3*f**2 + 9 wrt f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13902 - -13902.1. Suppose 32 = 5*c + 7. What is the third smallest value in -0.2, 8\/7, c, k?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6 = 21. Suppose -i*x + 3*u + 586 = 5*u, 4*x + u = 773. Calculate the remainder when x is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 2:51 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 11518281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2 + 289596080*c + 10483236193920800 = 0. What is c?\nAnswer: -72399020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.22 (c) -30 (d) -10 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46685980 times -0.1?\nAnswer: -4668598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 635 by 5.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*v = 6*a - 1764, 0 = -4*a + 4*v + 1764. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2037461 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 21?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -376, -394, -430, -490, -580?\n\"Answer: -d**3 - 3*d**2 - 2*d - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 2, -59 in increasing order.\nAnswer: -59, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -68*k - 332. Calculate p(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 14 = 4. Let t(y) = -3*y - 4*y + 4*y**2 + a + 2*y. Let v be t(4). Calculate the greatest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(5\/11)*b**(-8\/5)*(b**(-6\/5))**(-9\/8))**(11\/4) assuming b is positive.\nAnswer: b**(9\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 19. Suppose 4*v - 204 = -4*w, -v + u*w = -2*v + 49. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rirrimrrliilmhll. What is prob of sequence rh?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**3 - 11*q**3 - 7*q**3.\nAnswer: -23*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 25272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6008 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/sqrt(5)*-5 - sqrt(102)\/(2*sqrt(3)))\/(2*(sqrt(72) - (2*sqrt(72) - sqrt(72))) - sqrt(72)).\nAnswer: 11*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 2*m**5\/5 - 3*m**4\/2 - 2*m**3\/3 + 3*m**2 + 6. Factor x(u).\nAnswer: 2*u*(u - 3)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - p + 0*p)*(0*p + p + 0*p) - 3*p**2 + 2*p**2 - 3*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.2 and -4578968.\nAnswer: -4578964.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from {n: 1, z: 2, a: 3, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -163, -111, -19, 119, 309, 557, 869, 1251?\n\"Answer: x**3 + 14*x**2 + 3*x - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/2 and -0.0885817448 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 628, 1246, 1832, 2368, 2836, 3218, 3496, 3652?\nAnswer: 3668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -5*(sqrt(77) + sqrt(77)*4))\/(sqrt(7) + -3*sqrt(7)*-4).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235 = -68*r - 643 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j + 110 = 3*w, -j - 5*w = 150. Let f = 123 + j. Sort 15, f, -1 in descending order.\nAnswer: 15, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.86892055 to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**3\/6 + p**2\/2 + 45*p + 4. Let w(l) = -3*l**2 + l - 6. Determine w(t) + 5*x(t).\nAnswer: -3*t**2 - 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 20 = -6*p + 3*p, -4*p + 5*y - 25 = 0. Suppose p*w - 9 = -w. Suppose 4*b - w*b = -415. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuzzzcmuumuuzcuuu. What is prob of sequence uzz?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*-2*sqrt(400)\/sqrt(5))**2 + -1.\nAnswer: 11523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 14*u + 63 = 3*s, -2*s = u - 62. Solve -17*z + u + 15*z**2 - 24*z - 18*z - 6*z = 0.\nAnswer: 4\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*x - 2173 + 3*x**3 - 12*x**2 + 1088 - 3*x**2 + 1112 = 0. Calculate x.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*d + 5540, d + 3*y = 2*y + 1386. Suppose -v = -5*j + 7403, 0 = 3*j + 2*v - d - 3065. Suppose -4*h + j = 213. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0119437789 and -2661044.\nAnswer: -2661043.9880562211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 n when four letters picked without replacement from nmnnmnnnnnssnnn.\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*s + 49*s**5 - 47*s**5 + 17*s**2 - 2*s + 45*s**6 wrt s?\nAnswer: 5400*s**3 + 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 15*h - 16. Suppose 3*r + 77 = 5*b, -5*b + 29 = -4*b - 4*r. Determine w(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 5*t + 3. Let c(l) = l**2 + 6*l + 3. Let q = 5 - 0. Let k be (-3)\/6*q*2. Let p be c(k). Determine o(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -418384970 divided by 685877\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -103, -213, -357, -529, -723?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 29. Let r be u(29). Suppose r = -8*a - 12*a + 840. What is the greatest common factor of a and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + (-4 + (sqrt(18) + -1 - ((sqrt(2)*2 - sqrt(2)) + 2)))**2.\nAnswer: -28*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -780 - -782. Suppose 2*n + 276 = 2*u - 96, -f*n + 756 = 4*u. Calculate the least common multiple of u and 2.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2 - 3*q - 8. Determine d(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 0*c + 1\/2*c**2 + 1\/3*c**3 - 1. Let j(o) = o**2 + 2*o. Determine -2*d(n) + j(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 + 0 = 0. Suppose -z*q = 10*l - 5*l - 299, -l - 680 = -5*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172568*o**4 + 13130*o**3 + 8*o**2 = 0 for o.\nAnswer: -4\/53, -1\/1628, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -559*c - 288 with respect to c.\nAnswer: -559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(252)*-2)\/(sqrt(576) + (sqrt(576)*-1 - sqrt(576))).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -335454.3 + 74\nAnswer: -335380.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**3 + 68*t**2 + 4*t + 464. Determine v(-23).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-15)\/(t*(t*t*(t*t**3*t*t)\/t)\/t)*t*t**(-4\/5)*t**(-7) assuming t is positive.\nAnswer: t**(-144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -332*o - 15. Is r(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 + 4*x**2 + 2*x**5 + (-3*x**2 - 6 + 6)*(0*x**3 + 5*x**3 - 3*x**3) + 0*x**5 + 3*x**5 + 0*x**5.\nAnswer: -x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854\/7 at least 265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6.3. Which is the biggest value? (a) 0.4 (b) 32 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*z - b + 13 = -80*z, -3*z = 4*b - 22. Let y be 2 + (0 - -2 - 2). Solve y = t + z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(1\/3)*p)*p)**(-33\/4))**1 assuming p is positive.\nAnswer: p**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7894.\nAnswer: 2, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 4324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.064 in 34, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a gram in milligrams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, 1404, -2, 2, 1 in descending order.\nAnswer: 1404, 3, 2, 1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137 + 198. Let x(p) = 4*p + 58*p**2 - b*p**2 - p**3 + p. What is x(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 362*p + 32761.\nAnswer: (p - 181)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/342 + 2795\/(-247).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2412\/3216*8\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 7*n**2 + 7*n + 1. Let a be m(5). What is a rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 14*t**2 + 4*t. Let a(y) = -35*y - 202*y**2 + 330*y**2 - 253*y**2. Determine -4*a(x) - 35*f(x).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*(1 + sqrt(612)) - sqrt(612)) + -4.\nAnswer: 1 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 642765.6?\nAnswer: -257106.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 55010, 220172, 495520, 881060, 1376798, 1982740, 2698892, 3525260?\n\"Answer: w**3 + 55087*w**2 - 106*w + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*j + 214 - 10*j**2 - 999*j - 214.\nAnswer: -10*j**2 - 1209*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -733298 (base 10) to base 16.\nAnswer: -b3072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 8*o**2 - 4*o - 5. Calculate j(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c + 6 = 0, 39 = 3*s + 2*c. What is the remainder when 21 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*k - 8. Let a = -1 + k. Calculate the least common multiple of (168\/(-480)*-70)\/(133\/114) and a.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9281*-2.\nAnswer: 18562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*t + 84 + 56, -4*t = i - 180. Suppose 0 = -g + 4*g. Suppose g = q - 3*q + 30. Calculate the remainder when t is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, f: 11}. What is prob of sequence hfh?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + -41. What is the third smallest value in 2\/13, 2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v + 96 = -11*v - 120 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -150272347, -300544695, -450817043, -601089391?\n\"Answer: -150272348*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b81d (base 16) in base 5?\nAnswer: -12101134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 5. What is the highest common divisor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(5\/4)\/s)\/s**(-9)*(s\/(s\/s**(-8)))\/(s*s*s\/(s*s*s**(-2\/19))))\/((s**(-4\/3)\/(s**4*s))\/(s*s*(s**(-3\/8)\/s*s)\/s*s*s**3)) assuming s is positive.\nAnswer: s**(5063\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.42*-1.749989\nAnswer: 0.73499538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npnd when four letters picked without replacement from pnnpnpppndndddcpnd.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1602*f**4 - 1591*f**4 - f**3 + 3 - 2*f + 3*f as t + i*f**3 + p*f**2 + j*f**4 + r*f and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9526 + -9522. Suppose -4*i + i = -6. Solve 0 = -i*m + 3*m - w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-5) + (-36)\/10. Suppose -p + 5*k = 6, 3*p - 4*k + 4 = -3. Let c = 32 + -35. Put c, d, p in decreasing order.\nAnswer: p, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3430471\/4 - 857617. Find l such that 15*l + 9 + 3\/4*l**5 - 27\/4*l**3 - t*l**4 + 3\/4*l**2 = 0.\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4 = -2*w - 4*t, 5*t = 25. Let n = 280 + -279. Suppose -2*y - 3*y - 5 = 0. Sort y, w, n in descending order.\nAnswer: n, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, m: 2, v: 3, j: 2, s: 2, c: 2}. What is prob of picking 1 v, 2 s, and 1 j?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 3*g**2 - 4*g - 3. Let f = 6 + -5. What is the lowest common multiple of f and n(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -745a6 + 3?\nAnswer: -745a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16257440*l + 21 - 2*l**3 + 16257440*l.\nAnswer: -2*l**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000054261279 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/525)\/((-3)\/9)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooooomoo. Give prob of picking 3 o and 1 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2178037*t + 2178023*t = -1358 for t.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.55935 kilometers in nanometers?\nAnswer: 63559350000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 41\/13 + 98\/(-637). Let h be a - -2 - (-18)\/(-9). Determine r, given that 0 - 2\/17*r**h + 2\/17*r - 2\/17*r**2 + 2\/17*r**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -33. Suppose -3*b - f + 12 = 0, -5*b - 5*f - 140 = -180. What is the highest common divisor of b and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -114608918882640?\nAnswer: 114608918882640.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -82?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 80 = 3*p. Let r(d) = d**2 + 5*d - 6. Let k be r(-7). Calculate the highest common factor of p and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3327 divided by 367.\nAnswer: -3327\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -6. Suppose -y = -2*z + 7, -6*y + 11*y + 7 = -4*z. Solve o*i + z*i = 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 5:41 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6*f = -104. Suppose 5*z - f = -3*r, -z - 10 = -r + z. What is the least common multiple of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (-20)\/8)*(16 - 0). Let s = 32 - z. Suppose 3*v - 5*v + 32 = y, -4*y - 80 = -5*v. Calculate the greatest common divisor of s and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bub when three letters picked without replacement from hqhhhqqbqquqqbhb?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 395, 742, 1087, 1430, 1771, 2110?\nAnswer: 2447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.406\nAnswer: -0.0812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjvvjghcojvo. Give prob of sequence jcvj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5 + 2267*m**4 - 6819*m**3 - 20403*m**2 + 61290*m = 0. What is m?\nAnswer: -2270, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3171 + -3165. Solve 2*u - 6*u - 5*o = -11, 2*o = -2*u + c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2 - c**3 + 3*c**3 - 6 + 18*c**2 - 9*c. Let r be 1 + -5 - 11\/(121\/44). Let m be p(r). Solve l - m*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3 + (1 - 1 - 2)*(1 - 1 - 2))*(1 + 8 + 32)*(2*i**2 + 2 - 2).\nAnswer: 246*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.01 - 1. Suppose 15 = -5*j - 5*i, 8*j = 7*j - 2*i - 8. What is the third smallest value in q, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17318.\nAnswer: 2, 7, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-99))\/(12*(-1)\/(-54))*-2.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-489)\/(-652))\/((-570)\/(-4256)).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7.6, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12093 - 12083. Let k be 2\/(-9) + 4\/18. Suppose 2*o + 2*o - 100 = k. Solve -5*j + r*j = -o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {t: 1, p: 2, j: 4, o: 4, v: 5}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.37 - -0.07. Let j = 1.9 + p. Let w = -12.6 + j. What is the second smallest value in w, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w - 68 = 0. Suppose 2*g - w = 5. Let l = g + 13. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*y**2 + 65*y - 46*y - 13*y to z*y**2 + b*y + h and give z.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -30. Let k(s) = s**3 + 6*s**2 - 8*s + 10. Let z be k(-7). Calculate the remainder when 29 is divided by z - (m - 1 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.67268 * -4933\nAnswer: -3318.33044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010110100 (base 2) to base 11.\nAnswer: -57a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1985a0 (base 11) to base 3.\nAnswer: 120110021001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 549300 to the nearest 10000.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 11*w**6\/60 + w**5\/10 + w**4\/12 + 371*w**3\/6 + 146*w**2 + 3*w. What is the second derivative of g(p) wrt p?\nAnswer: 132*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w**2 + 106*w - 57. What is z(17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 508*c**3*l + 28262*c**3 - 2*c**2*l + 11897*c*l - 1463*l wrt c?\nAnswer: 3048*c*l + 169572*c - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 - -0.1. Let k = 0.11982 - f. Round k to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**6\/3 - 5*j**4\/12 - 10*j - 20. Let u(g) be the first derivative of y(g). What is the third derivative of u(b) wrt b?\nAnswer: 240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0209, -62101, -1\/3, -1\/4 in descending order.\nAnswer: -0.0209, -1\/4, -1\/3, -62101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1390299, 5561168, 12512609, 22244622, 34757207?\n\"Answer: 1390286*q**2 + 11*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1203231 - -331?\nAnswer: 1210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*c - 2*a, 3*a = a - 6. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3)*b)**(-28)\/(b**1)**(-1\/16) assuming b is positive.\nAnswer: b**(-2237\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1260*r - 595973. Determine q(473).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -36 + 13 - -32 - 74\/8. Let t = 98\/5 + -19. Which is the closest to -0.14? (a) t (b) -1\/11 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**2 + 71799660*m + 215398935 = 0.\nAnswer: -14359929, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.09 and 390608716.539.\nAnswer: 390608716.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156 - 325. Let m = j + 172. Which is the nearest to 1? (a) m (b) -3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 16*w + 38. What is the remainder when g(-16) is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10*y**2 + 47*y - 144. What is the remainder when 259 is divided by i(3)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1686\/4 + 5\/(-30)*9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a**3 - 5352*a + 5352*a.\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 7*b**2 + 9*b - 5. Let f be l(8). Suppose -4*v - 56 = -2*a, a - f = -3*v + 5. Calculate the remainder when 37 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140948163 to the nearest integer?\nAnswer: 11872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23886 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.1, -40, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*sqrt(17)*2.\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15460 (base 7) to base 16.\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.235 from -0.02.\nAnswer: -4.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 80. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 13 = 2*w + 5, 3*w - 6 = 3*t. What is the smallest common multiple of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)*s*s\/((s\/(s*s**(1\/4)))\/s))**(-33\/2)*((s**(-2\/7))**6)**40 assuming s is positive.\nAnswer: s**(-6535\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85057159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + o - o)*(4 + 1 + 1)*(7 - 16 - 32)*(-3 + 1 + 0).\nAnswer: 984*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h**3 + 2*h + 2. Let g(m) = -110*m**3 + 45*m + 45. Suppose 15*f - 27 - 18 = 0. Suppose 0 = 3*l + 6, 1 = -x - l - f. Determine x*g(v) + 45*a(v).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3211 - -10?\nAnswer: 3221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/11))**(1\/2)\/(t**(-5)*t\/(t*t**(-4))))**(-24) assuming t is positive.\nAnswer: t**(-288\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 121110120000?\nAnswer: -121110120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 8\/3 (c) 2 (d) 74 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*v + 14*v - 15*v)*(21 - v**2 + 18 - 8) in the form m + w*v + t*v**2 + g*v**3 and give w.\nAnswer: 775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7335533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 9 + 34 = 0, -d - 51 = -4*b. Suppose -2*n = -4*u - 12, -b = 2*n + 3*n + u. Put 11, n, 2, -4 in descending order.\nAnswer: 11, 2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -6. Let r = 5 + -3. Suppose f*k - 4*v = -k + 13, r*k - 3*v = 16. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 27449220.\nAnswer: 27449220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29016 and 8432?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*o**2 - 6*o**3 - 24*o**2)*(4 + 0*o - 5*o + 3*o + (0 + 3 - 6)*(o - 2 + 2)).\nAnswer: 30*o**4 - 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -222.92 rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -541101?\nAnswer: 541102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 15441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142 smaller than 2140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 9682940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 169, 569, 1349, 2635, 4553?\nAnswer: 7229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 468660.87 + 188644.\nAnswer: 657304.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 172 = 52. Solve k = -5*o + 4*o - 2, -k - d = -5*o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 - -69. Let k(p) = 16*p**3 + p - 6*p**2 - y*p**2 + 0*p + 7*p**2. What are the prime factors of k(2)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21507*f**3 + 12785*f**3 - 34306*f**3.\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugm when three letters picked without replacement from ungungggmuogmnug.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 0. Let c be (2 - u)*18\/3. Let p be 422\/1 - (c - 4). Round p to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, v: 3}. Give prob of sequence vlvl.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003569194892 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6371631 to the power of 1\/2, to the nearest integer?\nAnswer: 2524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-3*-4*sqrt(130)\/sqrt(1000) + -5)*-4 + -5))**2.\nAnswer: -576*sqrt(13) + 52452\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*1.165.\nAnswer: 8.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491836?\nAnswer: 2, 41, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59668 is divided by 591.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 2*m - 3. Let p(x) = x**3 - 3*x**2 - x + 18. Let y(o) = o**3 - 2*o**2 + 14. Let n(t) = 5*p(t) - 6*y(t). Give -5*h(b) - 2*n(b).\nAnswer: 2*b**3 + b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1344665 divided by 5?\nAnswer: -268933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3\/4*x**2 - 15*x - 57\/4 = 0.\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**4\/6 + 3*a**2\/2 + 2*a. Suppose -5*m + 3*m - 4 = 0. Let w = -2 + 5. Let r(f) = f**2 + 2. Calculate m*l(g) + w*r(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -300.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*d**5 + 4*d**4 - 6105*d**2 + 86977*d + 34?\nAnswer: -980*d**3 + 48*d**2 - 12210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, j: 17}. What is prob of picking 2 u?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 14\/(-3)*441\/(210\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*l + 20291794 = 20298724 for l.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9047\/28 less than 323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-3 - 1) - -18. Suppose 7 = -2*h + 21. What is the highest common factor of p and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11\/14 - -5\/7. Let i(r) = -r**3 - r**2 + 2*r + 1. Let c be i(-2). What is the common denominator of g and c\/6*(-146)\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -545*z = -555*z - 10. Let d(u) = 25*u**2 - u - 1. Determine d(z).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146506 is divided by 5854.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -302 + 302. What is the units digit of t\/(0 + 2) - (-2856)\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*i - 4*i - 44, i = -d - 10. Let l be (-2)\/(-9) - (-20)\/d. Suppose 6 = -3*m - 3. Sort l, m, -1.\nAnswer: m, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(99))\/sqrt(9))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 4*g**2 - 5*g + 5. Let y be q(-5). Suppose -59 = -4*b + w, -y*b + 5*w + 23 = -47. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2507, 4885, 7039, 8975, 10699, 12217?\nAnswer: 13535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14720\/90)\/16 - 10.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.24 (b) -0.04 (c) 0.9733 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16729591?\nAnswer: 16729591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1036 - -2305501?\nAnswer: 2304432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12881458*r**2 - 2*r - 35722097.\nAnswer: -25762916*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1080\/54 + 2363\/(-119)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 120987.5 and 195790.\nAnswer: 316777.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -414502 - 898819562.\nAnswer: -899234064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13263 + -13243. Suppose -3*l = -2*h + 31 + 30, 0 = 5*h - 4*l - 156. What is the lowest common multiple of h and b?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 464 = -2027. Let q = -1328 - o. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2565\/351 + (-16)\/52\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 681714.2 centimeters to nanometers.\nAnswer: 6817142000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 17*g**2 + 375*g + 1445. Calculate n(-4).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 308 + 36 = 0. Let t = -46 - g. Suppose -5*o - t = -m, -59 = -5*m + o + 45. Solve m = f + 3*l, 2*f - 4*l + 10 = -0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1815, -6983, -15589, -27627, -43091, -61975?\nAnswer: -84273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3))\/((-2)\/3)*-138. Let h = -43 + y. Calculate the greatest common divisor of h and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20886353 (base 9) to base 7\nAnswer: -151544616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2. Let z(d) = 2*d**3 + d - 5. Let h be z(2). Let w(j) = -2 + 2*j**2 - h*j**2 + 2*j**2. Calculate w(g(y)).\nAnswer: -36*y**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/54)\/((-2)\/4). Put r, -3\/5, -1\/7 in descending order.\nAnswer: -1\/7, r, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -197*x**2 + 373*x**2 + x - 191*x**2 - x. Let r(v) = 31*v**2. Determine -9*l(d) - 4*r(d).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 677 divide 62109452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2340dd (base 15) to base 4.\nAnswer: -12123031231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**7\/245 - 43*p**6\/210 - 53*p**5\/210 + 43*p**4\/42 + 8*p**3\/3 + 3188*p**2. Solve a(j) = 0.\nAnswer: -28, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23355 is divided by 19454.\nAnswer: 3901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4106519 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35183471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - (0 + 1) - -2. Let r = 1.1 - 79.1. Let f = r - -82. Put f, -1, g in decreasing order.\nAnswer: f, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -255 and -0.06.\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6*k - 2*f + 112, -3*k - 84 = 4*f. Let t = k - -48. Let c be 4000*t*(-30)\/(-4). Round c to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(-3 + 0 + 5)*(-7 + 2*o + 7).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u + 2. Let v(a) = a. Let m(c) = -h(c) + 5*v(c). Calculate m(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16 and -3001.\nAnswer: -480.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from woswopwpsssbsopzoswz. Give prob of sequence wp.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 824395 and 6149.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549336 is divided by 3349.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 756147.898 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20160?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 k, and 1 r when four letters picked without replacement from {q: 3, f: 4, k: 1, a: 2, r: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.304 + -3.857. Let t = g + -0.517. Let d = -3.07000137 - t. What is d rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 3, l: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-63)\/210*2\/((-4)\/30)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011110011000000000 - 100?\nAnswer: -1000011110011000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-3))\/((-1)\/(-3)). Suppose -j - 8 = -4*l, 5*l = 2*l + j + 5. Suppose i + l = -c*n, -3*n - 3*i = 2*n + 9. What is n rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1289720.\nAnswer: 257944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 3 (b) 0.5 (c) 5 (d) -310 (e) -4 (f) -12 (g) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.9 (b) -0.1 (c) -4\/3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2. Let h(t) = -5*t + 11. Suppose -7*s = -g - 3*s - 8, g = -4*s + 16. Let d(m) = 2*m - 4. Let b(u) = g*h(u) + 11*d(u). Calculate b(x(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b + 32 = -32*b. What is the tens digit of (0 - 24)\/(6\/b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20, 176, 584, 1364, 2636?\n\"Answer: 20*t**3 + 6*t**2 - 2*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 9. Let u be ((-1)\/q)\/(6\/(-60)). Suppose 0 = 2*z + 2*z - 4. What is the greatest common factor of u and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 16517*t - 8299*t + 1 - 4 - 8272*t.\nAnswer: -54*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*l - 0*q + 12, -2*q - 9 = -3*l. Suppose -6*a + a + 5*r + 1360 = 0, 0 = 4*a - l*r - 1086. Suppose a + 185 = 5*i. List the prime factors of i.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2930\/1172 - (-6)\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242.97648138469 - 2.\nAnswer: -244.97648138469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 10610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2281856 and 285232.\nAnswer: 2281856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 + 7204742312*z**2 + 6*z**3 - 7204742312*z**2.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-13*(-24)\/(-8112)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 7*u**2 - 9*u + 5. Let z be ((-24)\/(-156) - 20\/(-39))*3. Suppose z*t = 4*c + 12, 3*t - 21 = 5*c - 2*c. Determine x(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -246645, -246652, -246671, -246708, -246769, -246860, -246987, -247156?\n\"Answer: -z**3 - 246644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 498792630 to the nearest integer?\nAnswer: 22334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*d + 2*d - 52, 4*u - 104 = d. Let o be (u\/8)\/(2\/8). Calculate the greatest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-3 + -4) - (0 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + u**2 + 4*u - 4. What is z(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11021 + 11020.6. Let s = 3 + -6. What is the closest to -2\/17 in 3, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487125 to the power of 1\/2, to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 224, -86, -602, -1324?\nAnswer: -2252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16620 + 111026?\nAnswer: 61106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 6. Let r be h(-2). Solve m - 4*o = 8, -4*o + 2 = -r*m - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.336529cm?\nAnswer: 3365.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 0)\/40 + 10619\/21320*26?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2574*0.015714\nAnswer: -40.447836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m + 0*m**2 + 2689 - 2*m**4 + 4*m**2 - m**3 + 13*m - 2699 to the form i + c*m**2 + p*m + v*m**4 + l*m**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-10) - (-1)\/(-5). Let v be (0 + -2)*(-42)\/4. Let c = -13 + v. Solve 4*t + 5*s = 3*t + 10, -t + 4*s - c = k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 126*d + 13. Let r(u) = -3*u**2. Give p(r(m)).\nAnswer: -9*m**4 - 378*m**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46452, -0.54, -47\/2 in decreasing order.\nAnswer: 46452, -0.54, -47\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-8))\/(1\/4). Let r be 2*(355\/10 - g). What are the prime factors of r + (-1 - -2 - 0)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 47*d**3 + 3*d**2 - 3*d - 3. Is u(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, 4249, 5 in decreasing order.\nAnswer: 4249, 5, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46057, 44905, 42991, 40321, 36901?\n\"Answer: p**3 - 387*p**2 + 2*p + 46441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 3*n - 148 + 17, 0 = -4*n + 8. Let r(b) = b - 1. Let a be r(5). Let u = 1 + a. What is the highest common divisor of h and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 9*f**2 - 13*f + 10. Let o be c(-7). Calculate the common denominator of ((-12)\/8 + o)*94\/30 and 37\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.94, 2\/5, -0.1 in ascending order.\nAnswer: -0.94, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 179793, 719328, 1618557, 2877480, 4496097, 6474408, 8812413?\n\"Answer: 179847*j**2 - 6*j - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/3 and -4\/1211.\nAnswer: 3633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1861707748.\nAnswer: 2, 433, 1074889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/180 and 169\/2610.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p + 262 + 648 = 0. Suppose -41*x = -p*x. Solve x = -2*h + h, c + 3*h = 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932425205?\nAnswer: 5, 139, 1341619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 15 + 84. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:17 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046 times 45?\nAnswer: 2.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 11105 = -1601. Suppose -2*c + 10*c - d = 0. Is c a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10509635 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -17*d**2 + 2. Let y(t) = -8*t**2 + 1. Suppose 24 = -6*z - 30. Calculate z*y(b) + 4*o(b).\nAnswer: 4*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x + 1 + 0 - 7*x + 10*x to w + i*x and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 18*c + 24. What is j(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i - 26*i = -7*i + 360 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 803927?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1512285?\nAnswer: 3, 5, 41, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-142672)\/(-56) - (-5)\/((-70)\/(-4)). Suppose -22*z = -8*z - t. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b + 5*b**2 + 8*b - 5*b. Let v be s(-1). Let i(r) = 4*r**2 - 2*r - 3. Is i(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2334, -2333, -2332, -2331, -2330?\nAnswer: -2329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnznzznzznnnzznzz. Give prob of picking 4 n.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkx when three letters picked without replacement from xkkxxxxkxxk.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 520*a - 31744. Determine c(61).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*a**4 - 48\/7*a**2 - 32\/7 + 64\/7*a + 16\/7*a**3.\nAnswer: -2*(a - 2)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/2558318 and 95\/730948?\nAnswer: 5116636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -495*b + 494*b - 5*a, 0 = -4*b - 4*a + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/777 and -48\/7?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -152979052 at least -152979050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/12 - 341\/(-66). Suppose 3*a = 4*g + 591, -m*a + 788 = -a - 5*g. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 18 = -u, 3*u + 156 - 118 = -4*r for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(32) + (sqrt(2) + 1)**2 + -3 - (sqrt(2) + sqrt(14)\/sqrt(28) + 0 + sqrt(242) + sqrt(2)))*-1.\nAnswer: 1 + 15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 93, -7 in decreasing order.\nAnswer: 93, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 2552774.\nAnswer: 10211096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 2 - 1 - -1. Suppose 5*y - n = 3*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/619 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20241 by -117.\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -289800 - -289799.93000025. Let y = x + 0.07. Round y to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwjx when four letters picked without replacement from wuuwjuxuwu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 - (-10)\/(-35). Suppose 2*w - 14 + 10 = -2*z, 4*w + 3*z - 5 = d. Is 1\/268 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**2 + 32*j**3 - 38*j**2 - 60*j**3 + 31*j**3 + 3*j - 42*j**2 to z*j**2 + b + c*j**3 + u*j and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k + 8*k - 3*k)*(-k**2 + 391*k**4 + 3*k**2 - 464*k**4).\nAnswer: -876*k**5 + 24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -464 + 474. Solve 4*a - y = -2*o - 0*a, -3*o + 2*a - 25 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 370 and 185.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + -9 + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 87987626*x - 87987626*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - -15. Let g(s) = -s**2 - 3*s. Let h be g(5). Let p = h + v. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.975 + -0.025. Let y = -6809 - -6811. Which is the nearest to 0? (a) 1\/9 (b) y (c) s (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 202, -2, -6 in decreasing order.\nAnswer: 202, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 56 = 9*p. Let u(i) = -i**3 - 8*i**2 - 7*i - 14. Let x be u(p). Let s = 70 - x. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2383382, -4766766, -7150150, -9533534, -11916918, -14300302?\n\"Answer: -2383384*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*k**3 + 33*k**3 - 112*k**3 + 40*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 4:50 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + q - 13, -4*q - 8 = -0*q. Let p = 8 - i. Factor -3*n + 2*n**3 + 1 - p*n**3 + n**2 + 2*n**2.\nAnswer: -(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3811.9 - -4120. Let i = 62 - -260. Let f = i - z. What is f rounded to zero decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 4. Let d be r(3). Let c(t) = -3*t**4 + 6*t**3 - 3*t**2 - 2*t. Let k(p) = p. Let y(x) = d*c(x) - 2*k(x). Determine f so that y(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7399 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2078, -2708, -3342, -3980, -4622?\nAnswer: -5268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1559*n**6 - 262*n**5 + 5837426*n**2.\nAnswer: -187080*n**3 - 15720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -544\/7, 1\/6, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -32674 to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*f**4 + 9 + 11*f - 11*f with respect to f.\nAnswer: -56*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24128 and 7384.\nAnswer: 1713088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v + 19*v = 16*v. Put 2\/3, v, 5, 3, 1\/62 in increasing order.\nAnswer: v, 1\/62, 2\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*g - 5*g = -252 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {z: 12, t: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/3 + (8 - (-420)\/(-54) - 416\/(-72)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -10. List the prime factors of a\/((-8)\/(-59))*2.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 0.3, 3\/2, 4, 22.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 2*t - 17. Calculate b(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50325293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 - -59. Let u = l - -22.99914. What is u rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -16*p + 73. Let t be (-3)\/((-28)\/35 - (-13)\/10). Let h be j(t). Calculate the greatest common divisor of 13 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 89*v + 992. Let m be y(11). Which is the second biggest value? (a) -0.2 (b) m (c) -0.5 (d) -5 (e) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2. Let o(p) = 9281*p. Determine v(o(l)).\nAnswer: 172273922*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + -28. Let i = 143 + l. Calculate the greatest common divisor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 0*a - 3*a + 4*a - 5 + 0. Let l be q(5). Suppose l = 4*y + 25 - 253. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 634.\nAnswer: -2536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**4 - 3*h**3 - 7. Let b(t) = t**4 + t**3 + 2. Suppose -3*v = 3*y + 18, -4*v + 0 = -4. Let d(k) = y*b(k) - 2*j(k). Factor d(f).\nAnswer: f**3*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1925 and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from fqfoqqqo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5248644 is divided by 656?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-220)\/(-105) + 2\/7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 - 2 - (-29 + 27)) + 0. Let x = -21 - -24. Suppose -4*r + 6 = w + 21, -x*r - 40 = -5*w. Solve 0 = -0*k - w*k + i - s, -2*i + 3 = 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r + 166114. Let v(j) = -3*j**2 - 2. Determine y(v(b)).\nAnswer: 9*b**2 + 166120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 1784.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 2*r + 25 = 0. Let c be (-4)\/10 - 22\/(-5). Let n be -2*1*(-2)\/(-4). Sort c, r, n.\nAnswer: r, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-711)\/9 - -925)*1*4\/36?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/133 and -69\/38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-4))**(-37)*f**8\/(f\/f**(-3)) assuming f is positive.\nAnswer: f**115","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -16.5. Let g = 3205\/8334 - -2\/463. Let k = g + -37\/72. Which is the nearest to 1? (a) l (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) + 7\/(-21). Suppose z*c - 3*c + 21 = 0. Suppose 0 = -5*q - k + 104, 3*q = -317*k + 312*k + 58. What is the greatest common factor of c and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 23*n - 82. Let p be f(11). Let x = p + -177. Let z(y) = y**3 + 5*y**2 - 6*y + 8. Calculate z(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 10 = 5*r, -2*t = 4*r - 11 + 3. Is (-19)\/57*(-68334)\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2948 - 23?\nAnswer: -296b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 + 2*i - 399. Let l(j) = 208*j + 23. Let a(p) = -36*p - 4. Let f(t) = -23*a(t) - 4*l(t). Give d(f(b)).\nAnswer: 48*b**2 - 8*b - 399","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.038328 from 446369964.\nAnswer: 446369963.961672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + -70. Let f = 1975510165 - 1975510251.00000122. Let s = f - h. What is s rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.363875 kilograms to milligrams.\nAnswer: 6363875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(350) - sqrt(350)*-1)\/sqrt(10))\/(sqrt(55)\/(sqrt(33)\/sqrt(3))).\nAnswer: -2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + 3 - 15) + (-2 - -9) - -1. Let x(j) = -j**2 - 1. Let c(v) = 11*v**2 + 3. Calculate t*c(l) - 2*x(l).\nAnswer: -9*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (-4 + 3)*7. Sort -6, q, -1 in decreasing order.\nAnswer: -1, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151 - 3*i + 5*i - 2*i - 151 - 3*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2085)\/(-4865))\/(248\/(-56))?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hejj when four letters picked without replacement from {e: 5, j: 2, n: 6, h: 3, t: 2, c: 1}?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = a - 2*a + 8, -4*a = 3*m - 2. Suppose 4*t + 4 - 56 = -2*g, -3*g = t - 83. Solve -4*l - 6*c + a*c = g, 5*c = l - 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -138.00314 + 138. Round m to 4 dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*q = 236 - 286. Suppose 2*d + 20 = -3*d. Let i = 3 + -4. What is the closest to i in q, d, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(204)*-2 - sqrt(204) - sqrt(204)) + sqrt(204) + -2*(1*sqrt(204) - sqrt(204)))\/(5*-4*-2*sqrt(12)).\nAnswer: 9*sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + (0 - 1) - ((-2 - 10 - -6) + 13).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 252\/210 + (-48)\/(-10) - 1. Solve 0 = -u + 5*a + 3, u + r*a + 2 - 5 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 42 = l, 4*s + 79 = 4*l + 55 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -6, -2\/9 in descending order.\nAnswer: 26, -2\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v + 16 = 80 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(36))\/(sqrt(22)\/(sqrt(11)*-2)).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) 0 (c) -5 (d) 2\/7 (e) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -97*p**3 - 1069*p**2 - 7*p + 81. Calculate k(-11).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352303662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -37. Let k(d) = -2*d**2 + 4*d - 2. Let u be k(2). Which is the closest to 0? (a) u (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 718429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*y - 302*y = 5*v + 55, 0 = y - v - 11 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 23. Suppose 300 = 5*i + 2*f, g = -2*i - i - 2*f + 176. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3056360 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33184 + -9187. Let n be v + -1 + 1 + 3. Suppose -g - g = -n. Round g to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + 98. Let f(q) = q**3 + 9*q**2 - 4. Let a be f(-4). What is the highest common factor of n and a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-5))\/((-9)\/(-135)). Suppose w*k + 7*k = 0. Which is the nearest to -0.1? (a) k (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**4\/20 - 6*n**3\/5 - 54*n**2\/5 + 13*n. Suppose a(h) = 0. What is h?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-3)\/9 + 3. Solve 0 = -o - u*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 + -15 - 22) + -3 + 1 - -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 21443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**3 + 2*s**2 + 7. Let d(n) = -2*n**3 + n**2 + 3. Calculate 7*d(a) - 4*r(a).\nAnswer: -2*a**3 - a**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2328 (b) -2\/9 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + r. Let y(q) = -10*q**2 - 8*q - 4. Determine -8*h(w) - y(w).\nAnswer: 2*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t**2 + 3*t - 2. Determine d(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**5\/60 + 7*m**3\/2 - 7*m**2 + 1. Let u be h(10). Which is greater: u or 120?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24438 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 110211000000?\nAnswer: 110210222211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:17 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4278 and 48?\nAnswer: 34224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12125, 24555, 37293, 50339, 63693, 77355, 91325?\nAnswer: 105603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*q**2 + 26*q**2 - 86*q**3)*(-3 - 2 + 4)*(41 + 32*q - 41) in the form h*q**3 + v*q**4 + y*q + b + a*q**2 and give v.\nAnswer: 2752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = 3*f. Let m = -5331.97 + 5332. What is the closest to m in f, -1\/4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4651.025km in centimeters?\nAnswer: 465102500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 436973335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -2\/61 (c) -36926\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 468.60722 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqaaqttttqat. What is prob of sequence th?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -822304253*b**2 - 308371972 wrt b.\nAnswer: -1644608506*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2829 and 184?\nAnswer: 22632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -2, 1, 5 in ascending order.\nAnswer: -2, 1, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 11739867\nAnswer: -58699335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -294, -495, -696?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200 + 123?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49793161 to the nearest integer?\nAnswer: 7056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) -1\/115 (c) 0.1 (d) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -126 * -0.3.\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -2) + (-9 - -10) - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**5 - 42*w**4 - 99*w**3 + 12*w**2 + 132*w = 0.\nAnswer: -11, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from ennnuntenjes?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 426*-240\nAnswer: -102240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - d + 50. Suppose -2*r = l - 6, -r - 2*l + d = r. Let n be 0 + r + 0\/3. Solve -9 = -5*z + n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, s: 6, t: 8}. Give prob of sequence stzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2817*o + 1123*o - 27*o**3 + 587*o + 1107*o.\nAnswer: -27*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7831.6079365+-716\nAnswer: -8547.6079365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 144 + -95. What is the greatest common factor of 196 and w?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*g - 332 = 0, q = 99*g - 104*g + 79. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 4*q + 4*r = 0, 0 = q + 5*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540989697?\nAnswer: 3, 647, 278717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 4*g**2 + 2*g + 2. Let w be v(4). Solve 3*f - f + w = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5 + 18. Which is smaller: 4 or n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*q = -19, 2*g + 3*q = -4 + 2. Let h(j) = j**3 + 7*j**2 - 3*j - 4. Give h(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 968 divided by 4\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3.7326, -2, 0.1, -103?\nAnswer: 3.7326","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1267, -3336, -6237, -9970?\nAnswer: -14535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -51. Calculate the least common multiple of u and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2895 - -2?\nAnswer: 2897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -d + 10. Let x(s) = 9*s - 27*s**d + 26*s**2 - 8*s. Give x(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -736 - -739. Let n = -11\/130 + -3\/26. Which is the nearest to -0.2? (a) n (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/1143 and 131\/3522726?\nAnswer: 3522726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -72 in 4\/5, 1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, g: 1, z: 2}. What is prob of sequence zz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 80 = 9*t. Solve -3*c = -t*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9612649 to the power of 1\/2, to the nearest integer?\nAnswer: 3100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 + 8686*o\/3 - 183729.\nAnswer: (o - 63)*(o + 8749)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.2997735 to two dps.\nAnswer: -50.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15123978 divided by 9?\nAnswer: 1680442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 8360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 76 (b) 0.58 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 5*r**2 - 5*r. Suppose -c - 3*k + 7 = -5*k, c = -k + 1. Let q be d(c). Suppose -9 = -0*l - q*l. Solve n = l - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3176.405um to nanometers.\nAnswer: 3176405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-87)\/(-58))\/(5\/(-38))*3*10\/9?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2953502698 to the power of 1\/2, to the nearest integer?\nAnswer: 54346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*p = -4*x + 32, 3*x - 60 = 3*p. What is the remainder when 394 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 40*h**2 - 20*h - 160.\nAnswer: 5*(h - 2)*(h + 2)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36 or -3\/5?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 107aa - 4?\nAnswer: 107a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 426953114 to the nearest integer?\nAnswer: 20663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, d: 7, i: 2}. What is prob of sequence pppp?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t - 0*t. What is the second derivative of 3*m**2 + 14*m**2 + 8*m**2 - 2*m**3 + 13*m**2 + 13*m + t*m**3 wrt m?\nAnswer: -12*m + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -344 and 375.3669.\nAnswer: 31.3669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 786 divide 14206950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 22. Suppose -4*p + 2*p + 23 = 5*x, 2*p + c*x = 14. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.0487859kg?\nAnswer: 48785900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**2 + 152*n = 0.\nAnswer: 0, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107170, 428700, 964576, 1714792, 2679342, 3858220, 5251420, 6858936?\nAnswer: 8680762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 + 113.5. Which is the nearest to 0.07? (a) w (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 = -2*c - 5*f, 2*c - f - 306 = -2*f. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.074 - 8.526. Let c = 0.6 + v. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001000010110111 (base 2) to base 11.\nAnswer: -70088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 474155.2cm?\nAnswer: 4.741552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271450, -542786, -814116, -1085440, -1356758?\nAnswer: -1628070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22770642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 16 = 2 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 494951670?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2044, -10570, -25574, -47056, -75016, -109454, -150370?\n\"Answer: -3239*r**2 + 1191*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1675.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 233*w**2 + 1428*w - 2012. What is n(-239)?\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1284165860?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(3 - 44\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-305 - -391)\/((((-9)\/2)\/(-9))\/1*-4)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -54 - (-4 + -3 - -6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**20\/(a\/((a**10\/a*a)\/a)))**(-18\/5) assuming a is positive.\nAnswer: a**(-504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -194305573?\nAnswer: -194305573.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-12)*(23\/10 + (-2976)\/9920)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 39*i + 83. Let o(u) = 70*u + 169. Determine -5*g(c) + 3*o(c).\nAnswer: 15*c + 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9338 - -0.659. Put -0.1, g, 3 in increasing order.\nAnswer: g, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 76 in 1\/4, 3, -0.25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 + 2*g**2 + 4*g**2 + (0*g + 4*g - 2*g)*(0*g - 4*g + 2*g) - 5*g**2 - 16*g**2 - 3*g**2.\nAnswer: -26*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5741678 * -56.\nAnswer: 321533968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*n = -5*d + 986, 8 = 4*d. Let i = -329 - n. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**6\/240 + w**5\/30 - w**4\/4 + w. Let x(k) be the third derivative of c(k). Determine x(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1434427 to the power of 1\/2, to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.091*-49.\nAnswer: 4.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1191510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7 + k + 1 + 2. Let g be n(6). Let b = 3 + -3. Solve g = -2*s - b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -53*d + 170. Let j(h) = -254*h + 852. Let g(o) = 4*j(o) - 19*m(o). Determine g(17).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104401 (base 5) in base 2?\nAnswer: -111010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3114 - -3115. Let c(a) = 22*a**2 + 3*a. Let p(h) = -h**2 - h. Calculate o*c(f) + 3*p(f).\nAnswer: 19*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**4 + 2*m - 1. Let g(u) = -17*u**4 + 39*u**3 + 67*u**2 + 31*u - 5. Let a(x) = 5*d(x) - g(x). Determine b, given that a(b) = 0.\nAnswer: -1, -3\/7, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Suppose -4*c - 4 = 2*v, -q*c - 4 = 4*v + 19. Let t(r) = -r - 6. Let z be t(v). Sort -1, 0, z.\nAnswer: -1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33813581.\nAnswer: 61, 151, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3*sqrt(375)*2)\/(-4*(sqrt(147) + sqrt(147)*-2) + sqrt(147)))**2 + 1 + 0.\nAnswer: 48*sqrt(5)\/7 + 1013\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 490506 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13103, -13104, -13105, -13106, -13107, -13108?\nAnswer: -13109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 4*v + 16 = 0, -5*m + 7 = -3*v. Calculate the remainder when (1 - m)*88\/16 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 + 0. Let x = n - 125. Let i = 50 + x. Is 1 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - -11 - (-12 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 7005\/4*b + 876 + 1749\/2*b**2 - 3\/4*b**3 = 0.\nAnswer: -1, 1168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6554035907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - (-3)\/((-18)\/(-336)). What is the second derivative of -58 + 346*d - m + 35*d**2 - 110*d**2 + 122 wrt d?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5))**(-14\/11) assuming m is positive.\nAnswer: m**(28\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(325) + 5 + (-2*sqrt(13))**2.\nAnswer: 5*sqrt(13) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -8 + (44 - 99)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/417257 and 3\/88.\nAnswer: 36718616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 173031, 3, -0.004, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -12*n + 2. Let c(p) = 296*p + 5. Let a(m) = 464*m + 8. Let z(o) = 5*a(o) - 8*c(o). Give z(k(w)).\nAnswer: 576*w - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 81922, 163279, 244072, 324301, 403966, 483067, 561604?\n\"Answer: -282*v**2 + 82203*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7431?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-21) - (1 + 68832\/(-42))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 5*d - 3. What is k(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 10\/4)*-14. Suppose n*i = 4*i + 9. What is the highest common factor of 2 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3180672 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3159*d - 1282*d = 11682 + 2407 + 927 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-35)*-16*((-25)\/5)\/20.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1.6. Let q be ((-2)\/6)\/(((-20)\/8)\/5). Sort -1\/8, g, q in decreasing order.\nAnswer: q, -1\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 5, 48, -3, 0 in decreasing order.\nAnswer: 48, 5, 0, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**2 - 214932*c - 5774470578 = 0.\nAnswer: -53733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/35 and -65\/2313.\nAnswer: 80955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2345 times -0.07?\nAnswer: 164.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4\/5 - 96328*j**3\/5 - 3277102*j**2\/5 - 17448108*j\/5 + 20821536\/5 = 0.\nAnswer: -27, -8, 1, 48198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 49576?\nAnswer: -347032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -141911?\nAnswer: 14191.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d + 157 - 157.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 2*y**2 + y**3 + 0*y**2 + 3*y**4 - 3 + 3 in the form v*y**3 + r*y**4 + c*y**2 + g + m*y and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15228?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 77767*x - 1654. Let o be w(-38). What is o rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3629299, -3629313, -3629327, -3629341, -3629355?\n\"Answer: -14*f - 3629285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4963.\nAnswer: 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4+-135.5\nAnswer: -131.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/40 and -79\/1872?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*q = 0. Suppose q = l + 8 - 12. Suppose 2*f = t + t + 16, -f = -l*t - 23. Solve -1 - 11 = -f*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003011149467 to seven dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8770494?\nAnswer: 2, 3, 1461749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 163 - 57 = -22*k - 182, -5*b = -2*k - 21 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120111110 + 10?\nAnswer: -2120111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 7) in base 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 + 1 - 2*n**3 - 3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -30 times -1.94\nAnswer: 58.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*n = 13, j + 3*n = 1 + 6. Sort 3, j, 8, 5 in decreasing order.\nAnswer: 8, 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5 = -5*p, -5*p = -4*l - 0 - 4. Solve p = -11*b - 16 + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**2*z - 188*g**2 - g*u**3*z - 11*g*u**3 + 49*g*u**2*z wrt z?\nAnswer: 2*g**2 - g*u**3 + 49*g*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 249611 smaller than 249591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(10\/11)\/(g**(-2)*g)**(-1\/12)*(g*(g\/(g*g**(-1\/4)*g)*g)\/g*g*g)\/(g**7\/g)*(g**(-1\/5))**(-29) assuming g is positive.\nAnswer: g**(949\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 4 = u - 3*l, 0 = -u - l - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 72*j - 45*j - 47*j to i + y*j and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*p*q*u - 14*p*q + p - q*u - 347*u wrt p?\nAnswer: -3*q*u - 14*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-3)\/(-36))\/(42\/(-9) + 5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -260*j + 482*j + 4*j**2 - 244*j - 3. Let h be p(6). Solve -4*z - 11 = h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*q + 260, 0 = 4*q - 2*f + 7*f - 265. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 735.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/17 - 205862*u\/17 - 2875404 = 0 for u.\nAnswer: -102693, -238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m. Let q(l) = -14*l. Let i(o) = 21*n(o) - 4*q(o). Let c(f) = -2*f - 1. Let k be c(-1). Calculate i(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300*v = 57*v - 43*v. Let s(d) be the first derivative of 19 - 1\/2*d**2 + v*d. Let a(b) = -48*b. What is a(s(o))?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 37?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-14) - (-24)\/(-84). Let q be (819\/65)\/(2\/(-9 + -1)). Is h <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, s: 2, o: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7363\/756 equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -q + 99. Let y = -2 + 0. Let p be (q\/4)\/(y\/(-4)). Solve -g - p + 14 = -5*c, g = 2*c - 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 16, 44, 84?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.55634 + 0.04366. Which is smaller: -3.94 or n?\nAnswer: -3.94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1170 = -17*m. Let y = m + 96. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggqggggggggg. Give prob of picking 1 g and 1 q.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7517769739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 + 2*v**4 + 30*v + 1 - 2*v**2 + 4*v**4 - 31*v - 3*v**4 to the form a*v**4 + k + y*v**2 + u*v**3 + f*v and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -26. Let w(t) = 10*t - 6. Let r be w(4). Suppose -3*a = -r - n. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 0*c - 3*c)*(0*c**2 + 6*c**2 - 4*c**2)*(1 - 2*c**2 - 1).\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*i + 6 = -21, 0 = 4*r - 4*i - 40. Let s = 29 - r. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16329436283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -12*w - 126. Let j(v) = 6*v + 145. Let u be j(w). Which is bigger: u or 4\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r + 213 - 381 = 0. Suppose 2*f - 9 = -t + 11, 0 = -4*t + 5*f + 93. Solve 4*b + t = r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -34 (b) 1 (c) -2 (d) 0.4 (e) 5.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 211*t + 2554. What is the ten thousands digit of f(139)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f - 48. Calculate the remainder when 62 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117230.\nAnswer: 2, 5, 19, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 1\/20*q**5 + 0*q**4 + 0 + 0*q**3 - 5*q + 1\/2*q**2. What is the first derivative of d(w) wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**2 - 12240*r + 1893620 = 0.\nAnswer: -2594, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2*2 + 17\/(102\/(-16))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*p + 81 = 0, -3*r = 5*p - 3*p - 94. Let u = r - 46. Let t = u - -88. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*a - 3*a - 4*a)*(-3*a**3 - 15*a**3 + a**3) + 3*a**4 + 0*a**2 + 0*a**2 to m*a**3 + y*a + c + i*a**4 + b*a**2 and give i.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 157*w - 941. Determine m(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/180*(-20)\/55?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172814948.\nAnswer: 2, 337, 128201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**3 - 150*j**2 - 740*j + 845. Let y(s) = -4*s**3 - 23*s**2 - 11. Let i be y(-6). Let o(m) = m**2 + m. Let a(x) = i*o(x) + k(x). Factor a(c).\nAnswer: -5*(c - 1)*(c + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000143 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -1\/12*r**4 - 5\/18*r**3 + 1\/60*r**5 - 64 - 1\/3*r**2 + r + 1\/90*r**6. Determine q, given that s(q) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, f: 2, e: 3, z: 1, m: 2, c: 2}. Give prob of picking 1 c and 2 e.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -19 (b) 7 (c) -8 (d) -339\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**2 - 8*b**3 + 24*b**3 - 18*b**3.\nAnswer: -2*b**3 + 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 18996.7 to the nearest one hundred.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36805903 is divided by 322?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (574\/7)\/((-11)\/11*1\/1*-2)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1086 by -6.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 131353837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/53699 or -18\/13?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -682718 (base 9) in base 16?\nAnswer: -63cf8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s = -4*w + 6, -4*s + w = -6. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -17, 5 in ascending order.\nAnswer: -17, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*q - 8. Let w(n) = 219*n + 6. Let d be w(q). Round d to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 11. Let c be 2 + 306 + o - 1. Calculate the highest common factor of c and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29.9? (a) 1 (b) -19 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -l + 2*a, l + 4*a - 5*a + 2 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*l + 42*l - 343 - 305 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*z + 5*k - 2*k, 9*z = -2*k - 0*k - 3 - 57 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -33802 smaller than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6086387 to the power of 1\/2, to the nearest integer?\nAnswer: 2467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/105 (b) -0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47358 is divided by 989?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*20\/(-75)*6. Let m be (l\/(-40) - 14\/30)*-3. Factor -2\/3 - 2*b**3 + m*b + 2\/3*b**2.\nAnswer: -2*(b - 1)*(b + 1)*(3*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 6:45 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u + 0*u + 4 - 20. Let h(x) = -x. Let m(r) = -g(r) + 2*h(r). What are the prime factors of m(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**2 - 30430*w = 0.\nAnswer: 0, 6086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 - 42*h**2 + 711*h**3 + 36*h**2.\nAnswer: 711*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxqqqxqqx. Give prob of sequence xxq.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*u - 54*u + s + 1, -2*u + 1 = -s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -303 - -1119. Is 30 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 + (5 - (-7 - -14))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1420 by 2.\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/65 in -6, 0, -4568, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*d - 5, -d = 5*b - 71 + 64. Let v be 1*(-1)\/1 + 9. Let j(i) = i**2 + i - 2*i**2 + v*i**3 + 0*i**2. Calculate j(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01348638 - -26060082\nAnswer: 26060081.98651362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kypmaqk. What is prob of picking 1 a and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4478000 rounded to the nearest 100000?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*w + 24, -v + 4*w + 4 = 4*v. Suppose -5*d + v*x - 51 = 104, -3*x = -15. What is the tens digit of (-399)\/d - (-6)\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1453165 - 10?\nAnswer: 1453155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 10*z + 15. Let h be k(-6). Suppose 6*g - h = 57. Let j(b) = 34 - 19 - b - g. Let o(i) = 8*i - 7. Calculate 6*j(f) + o(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*a + 2*s = -143*a - 30, -3*s + 27 = 3*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18.56 (b) -1\/7 (c) -5 (d) -2\/7 (e) -3 (f) 4 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*u + 38 = 3*h - 70*u, 12 = 2*h - 4*u. Suppose -3*w = -j + 14, 0 = -5*w - 7 - 13. Solve 0 = -4*n - h - j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1389.704 meters to micrometers.\nAnswer: 1389704000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*q**2 + 17 + 0*q**2 - 5*q**2)*(-1 + 1 - 1) to s*q**2 + f + x*q and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3605 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 - 50 - 13 - 275*b to the form p*b + w and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/21)\/((-4)\/(-13626)). Suppose 0 = -2*k + 2*t + 1796, 0 = -4*k - 4*t + n + 1337. Round k to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1774285 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -256.99999943 - -257. Round t to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8592 + -5127. Is 45 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -6)\/(2\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -4 - 3\/2*q**2 - 3\/4*q**4 + 0*q**3 + 0*q. What is the second derivative of y(d) wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/4 of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 4*z + 8 = 0. Suppose -v = -0*v + 12. Let o be (-50)\/(-8) + 3\/v. Solve 0*n + 3*n = 4*k + 21, 0 = z*k + 4*n - o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -7*a + 12. Suppose -87 = -a*s - 21. What is the highest common factor of s and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1872.\nAnswer: -374.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 6. Let s be -90*(1 + (-15)\/9). Let r = 60 - s. Give m(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 5 - (-37 + 30)) + -4 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 391477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 4, -273, 4\/27, -79, 1 in ascending order.\nAnswer: -273, -79, 4\/27, 1\/5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 148*q + 4588. What is v(-87)?\nAnswer: -719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1769003?\nAnswer: 17, 104059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 6528?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2*l**2 - 7 - 4 + 13 + 7976*l.\nAnswer: -2*l**2 + 7976*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**4\/12 + 25*u**3\/6 - 7*u**2 - u. Let x be y(11). Solve -x*t = t + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 + 64*l**4 + 86*l**3 - 676*l**2 + 528*l = 0. What is l?\nAnswer: -4, 0, 1, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -42. Suppose -p - 3*f = -885, -2*p - f + 1770 = -j*f. Suppose 5*m - 19690 = -p. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*c**2*j**2 + 2*c**2 - 1435950*c*j + 2*c - 7724*j**2 wrt j.\nAnswer: -154*c**2 - 15448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4151, 171, -13, 1, 0?\nAnswer: -1\/4151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1319083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 10:16 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11)\/(f*(f*f**10)\/f*f))\/(f**(-3\/5)\/f*f**(1\/7)) assuming f is positive.\nAnswer: f**(-754\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*c - 4*c + 4*c + (8*c - 7*c + 36*c)*(-1 + 0 - 4)*(2 + 2 + 5) as l + x*c and give x.\nAnswer: -1654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3*3\/2. Let q = -2122 + 2127. Which is the nearest to v? (a) -3 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156790002 and 130658335?\nAnswer: 783950010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 7:07 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 842353*v**3 - 14*v**2 + 9143*v + 1 wrt v?\nAnswer: 5054118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**4)**(-21\/5)*l\/(l*l\/l**(-2\/5)*l*l)*l**(-1\/15) assuming l is positive.\nAnswer: l**(137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15f (base 16) in base 3?\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(55\/100*10). Let r = 1 + -3. Put s, -0.1, r in decreasing order.\nAnswer: -0.1, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*sqrt(243)*-2 + (sqrt(243) + -2 - sqrt(243))*2.\nAnswer: -108*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91217.\nAnswer: 7, 83, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5. Let a(i) = 2*i - 10. Determine 5*a(z) - 10*g(z).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 5891267*q**2 + 23565080*q + 23565084.\nAnswer: -(q - 5891271)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1345, -1423, -1501, -1579, -1657?\nAnswer: -1735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 284 divided by 1\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + l = 9, 0 = o - 3*l + 3 + 10. Suppose o*d = 7*d + 10. Let k be (d\/3)\/(14\/(-21)). Are k and 3\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 20. Let h = 5 - g. Let c(l) = -8*l + 1. Let z(a) = -a. Calculate h*z(d) - 2*c(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -74?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-535)\/(-60)*(-23270)\/(-91). Let b = u - 2283. Calculate the common denominator of 67\/42 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64724238.\nAnswer: 2, 3, 139, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 499 minutes after 9:56 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1854151*s - 26. Let d be l(14). Let j = d - 13134788407\/506. Let z = j - 88\/23. Find the common denominator of z and -41\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 678532? (a) -16 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14181 + -7740. Let f = -44959\/7 + r. Factor -f*h**2 + 32\/7*h - 2\/7.\nAnswer: -2*(8*h - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nou when three letters picked without replacement from {n: 1, u: 1, a: 1, m: 2, v: 2, o: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 567580 by -56758.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 438 - 257. Let g = a + -904\/5. Factor 1\/5*l**3 - 1\/5*l**2 + g - 1\/5*l.\nAnswer: (l - 1)**2*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 6, 10 in decreasing order.\nAnswer: 10, 6, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -273696 or -1368473\/5?\nAnswer: -273696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1030 - -2?\nAnswer: -1029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*q + 3*c - 3024*q + 690 wrt q.\nAnswer: c - 3024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 49. Let p = 6 - w. Suppose -4*s + s + 225 = p. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*3\/(-10)*198\/(-297)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.2 - -0.9. Let v = -36 + r. What is the second biggest value in 0, v, 0.5, 5\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32 + (7 + -8)\/(1\/5). Is 40\/180 + 37875\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.152 + 0.052. Sort -0.5, 0.1, k in decreasing order.\nAnswer: 0.1, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/15)\/(1379\/985)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*15 - (-1 - 1). Let o be (-54)\/(-4)*(-4 + 2). Let z = 43 + o. Calculate the greatest common factor of z and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6250 - 2b?\nAnswer: -627b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 9:48 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 104?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -1)\/((-7)\/14). Let x be 1 + 0 + 2 - w. What is the highest common factor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 89, 190, 331, 512, 733, 994?\nAnswer: 1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/(-28) + 7\/(56\/8) and 77\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 - 0) - (-17 + 17)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -6. Let w = s - -4. Let g(t) = t**2 - 2*t + 9. Is g(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 995 is divided by 401.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (956\/(-1680))\/(15\/6 - 3). Let k = 17\/30 - z. Put k, -3, -0.2 in increasing order.\nAnswer: -3, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 8, -4, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 + 29*k - 22. Let b be d(-15). Let t = b + 10. Find the second derivative of t + 115*l - 120*l - 1 - 17*l**4 wrt l.\nAnswer: -204*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, h: 2}. What is prob of sequence qh?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 2. Let k = 2 - 5. Let w(b) = -b**2 - 5*b + 2. What is the smallest common multiple of w(k) and h(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 220 = -18*x. Calculate the lowest common multiple of 40 and x.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1918 + -1917.99664. Round j to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 4 - 3 - 37*a**2.\nAnswer: -37*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149*l**4 - 941*l**3 + 11895*l**2 - 127*l wrt l.\nAnswer: 3576*l - 5646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3079 = -2*n, -5*n - 4*r - r + 7690 = 0. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 17*q - 106 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, r: 2, s: 2}. Give prob of sequence dss.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 5*r + 1, 72*r = -42721*u + 42723*u + 68 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(162) + sqrt(162) - 5*sqrt(162)*3)*-6)**2.\nAnswer: 705672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12637 by -13.\nAnswer: -12637\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*sqrt(245).\nAnswer: -42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p - 1. Let r(c) = 7*c**2 + 2*c + 1. Let n be r(-1). Suppose -n*f - 28 = -2*f. Is 7 a factor of z(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, f: 11}. Give prob of sequence fff.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 6*y**2 + 6*y + 1. Let x be (6\/12)\/((-1)\/(-12)). Suppose -3*a - 21 = -x. Give w(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 22. Suppose 0 = -3*m + 6, -n*l + 5*m + 1260 = -9*l. List the prime factors of l.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2143616492.\nAnswer: 2, 67, 7998569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*(1 + (sqrt(80) - (sqrt(80) - (sqrt(80) + sqrt(80) + sqrt(80)*2 + 0 + sqrt(80))) - (0 + sqrt(80) + 2))))**2.\nAnswer: -18432*sqrt(5) + 737856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/8 in -0.1, 1\/7, 4, -2\/7, -0.064?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -8. Let s(h) = 4*h**2 + h + 1. Let j be s(y). Find the second derivative of 6*d - 5*d + j*d**5 - d**5 wrt d.\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1443*x**3 - 3767*x**3 - 1466*x**3 + 832*x**3 - 3222*x**3.\nAnswer: -6180*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) - -4*sqrt(114)\/sqrt(2) - sqrt(57)*1*-4)*-3)\/((sqrt(90)\/sqrt(48))\/(2*sqrt(810))).\nAnswer: -1944*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-3 + (15 - 7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -37. Let x(l) be the first derivative of l**2\/2 + 9*l - 2. Let n be x(-4). Calculate the highest common factor of n and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.358 + 0.042. What is the nearest to 0.12 in 1, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3607899*v**2 + 13708596 with respect to v.\nAnswer: 7215798*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 6 - 4 + 1 - 3*a - 1. Is d(4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 257892 and 17256?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 841914 + -569614. What is s rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/64 and -53\/88.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264022 divided by 22.\nAnswer: -12001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - 7*f + 21. Suppose r - 2*o = -r - 10, -5*r + 4*o - 26 = 0. What is g(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 72.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 p when four letters picked without replacement from uhuhuapuppuhy?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161095 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 44 + 29 = 3*r, 0 = 2*r - 2. What is the least common multiple of 42 and t?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 19 - 6 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 z when four letters picked without replacement from {w: 2, z: 17}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(17\/4)\/x)\/x)\/((x\/x**43)\/x) assuming x is positive.\nAnswer: x**(181\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 919? (a) -8 (b) 5 (c) -4\/5 (d) -1\/2 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 949*s**3 - 12*s**2 + 12*s - 6. Let m(b) = 151838*b**3 - 1922*b**2 + 1922*b - 961. Calculate 6*m(x) - 961*t(x).\nAnswer: -961*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -88868 or -89536?\nAnswer: -88868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 - 160*k**2 - 1553*k - 2655. Determine n(-69).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13994)\/(-14) - (-16)\/(-28). Suppose 246 + m = 3*p. Suppose p = 8*i - 1. What is the greatest common divisor of i and 468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -2*s**3\/3 + 7*s**2 + s + 1. Let k be (-15 - -7) + (14 - 0). Let z be d(k). What is the greatest common factor of z and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(3 + 0)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 31*u - 143. What is the remainder when v(-20) is divided by 1\/(2 + -1) - -19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*v - 91, 3*v + 6*n - 3*n - 111 = 0. Let j = 36 - v. Suppose j*y - 44 = -4*t, 3 = -t + y + 20. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10368772?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k. Let x(y) = -32*y + 1. What is 4*f(j) + x(j)?\nAnswer: -24*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 692 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(275) + sqrt(275) + sqrt(22)\/(sqrt(4)\/sqrt(2)).\nAnswer: -1 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12554, -2\/19, -5, 3 in descending order.\nAnswer: 3, -2\/19, -5, -12554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a - 1. Let k be l(-1). Suppose -k*f = -f - 110. Let s = 3311 - 3227. What is the remainder when s is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 19308371?\nAnswer: 4\/19308371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88698028 by 9.\nAnswer: 88698028\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 6047*v + 12187*v - 6057*v as p*v + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2*x - 22, 5*i + x - 25 = 3*i. Solve -6*l + 3*l = -i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q - 5. Calculate the remainder when b(5) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.3242229 months?\nAnswer: 0.027018575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1045*o - 165123. What is r(-158)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 629337*b.\nAnswer: b*(b - 629337)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002446624 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(44\/5)*o**0\/(o**(-4\/3)\/o) assuming o is positive.\nAnswer: o**(-97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**3 + s**2 - 1. Let p be i(-1). Let q = -3 - p. Is q - (-3)\/((-9)\/(-21)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 + 1 - x**2 - 2 - 6374*x**3.\nAnswer: -6374*x**3 - 6*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 1521*a + 53460.\nAnswer: -3*(a - 540)*(a + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = -5*l + 6*v, 248*l - 22 = 245*l - v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 473\/10 not equal to 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4\/5 - 1758*h**3\/5 + 1571823*h**2\/5 + 2060783856*h\/5 - 1374127861824\/5 = 0. Calculate h.\nAnswer: -1608, 729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9*l**3 - l**2 - 7*l + 6. Let c(z) = 9*z**3 + z**2 + 7*z - 5. Let q(t) = -3*b(t) - 2*c(t). Is q(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**6\/20 + 7*x**4\/24 + 15*x**2\/2 - 2. Let l(t) be the second derivative of j(t). Find the second derivative of l(h) wrt h.\nAnswer: 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 14. Let y be i(15). Let w = 5 + y. Suppose -4*l = 16, -l + 8 = w*h - 3*l. Solve -5*o + 0*o - 5 = h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.58 + 2.88. Sort 4\/9, q, -2\/5.\nAnswer: -2\/5, q, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 397, 589, 777, 961?\nAnswer: 1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a**2\/5 - 420*a + 468\/5 = 0. What is a?\nAnswer: -78, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*1*(322\/14)\/414)\/((-23)\/6)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6910 - 290*q**3 + 1488*q**3 - 13820 + 6910.\nAnswer: 1198*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17518 is divided by 5832.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-12)\/p)\/p)**(-23) assuming p is positive.\nAnswer: p**322","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 - 531167*j**3 + 1593510*j**2.\nAnswer: -j**2*(j - 3)*(j + 531170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*c + 46*c + 63*c**2 - 126 + 126 to h*c**2 + s + l*c and give h.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (1 + 3) - -53. Suppose v = 5*p - 12. What is the remainder when 2 + 44 + 35\/7 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12012 + -12033.045. Let t = 0.53 - -20.47. Let x = t + q. Round x to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*-3*(-3)\/6. Suppose -4263*r + 132 = -4219*r. Solve r*d - 6 = y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*i*z + 453193*i + 5296*z**2 wrt z.\nAnswer: 14*i + 10592*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from {i: 1, x: 1, g: 1, s: 2, v: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 173 = -176. Put -3, h, -5, -4 in increasing order.\nAnswer: -5, -4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2439 = -9*q + 280*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 133?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - -5. Find the common denominator of -41\/4 and (-90)\/25*(-6)\/w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 375228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, -0.5, -11, 1072, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -0*z - 3*z - 4*h, 2*z - 3*h = 6. Suppose -z*o + 4*o = -25. Suppose o*r = 6 + 9. Calculate the remainder when 13 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 5*a + 14. Let g be c(7). Let m(y) = -y**2 - 3*y + 2. Let h be m(g). Solve -h - 1 = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 223 + -162. Let y = x - 119. Is y at least -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4610 = -565*y - 1028 - 577 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 10:54 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0, 0.4, -18\/1949, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-84))\/((-252)\/1323)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -41975 divided by 365\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 7621935*r**3 + 7621945*r**3 + 0*r**2.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31350 divided by 825.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*((-2344)\/(-3))\/(-8). Suppose x - l + 74 = 2*x, 4*x = -5*l + o. Suppose 605 - x = 4*h + k, -4*h = -5*k - 528. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -542338 + 137?\nAnswer: -542201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 - 85. Let t = f - 25. Which is the second smallest value? (a) t (b) -0.1 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-21) + (-13)\/(-3). Suppose -3*b + 8*b = 3*z, -w*z = -25. Find the second derivative of b*i**2 - 4*i**2 + 3*i**2 - i - 2*i wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15249327?\nAnswer: 3, 1499, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 16, 0 = 5*g - 0*g - 4*h - 39. What is the remainder when 54 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -67156311?\nAnswer: 67156310.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + f**2 + 18. Let u = -6 - -6. What is the least common multiple of n(u) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -396733 (base 11) in base 2?\nAnswer: -10011000010010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/2517, 1, 2, -3, 9, -6.\nAnswer: -6, -3, -2\/2517, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*w - 4 = -0*z, -38 = -5*z + 4*w. Let o be 3 + 18\/6 - z. Factor 0 + 10\/11*f**2 + 2\/11*f**3 + o*f.\nAnswer: 2*f**2*(f + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -3\/2*w**2 + 1\/3*w**3 - 1\/8*w**4 + 1\/60*w**5 - 2*w + 0. Let k(x) be the first derivative of v(x). Factor k(t).\nAnswer: (t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21452 + -1?\nAnswer: 21451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1801985.08 from 14.5135.\nAnswer: -1801970.5665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 9:43 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 11. Let a(r) = 1. What is -3*a(y) + s(y)?\nAnswer: -y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + -8 - -14) + 7 + 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*i, -4*n - 5*i + 3 = -2*i. Suppose w + n*w = 2. What is the first derivative of -4*o**2 - 3*o - 1 + w*o + o wrt o?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 887 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 496*w**2 + 7994*w - 32340.\nAnswer: 2*(w - 231)*(w - 10)*(w - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-2 + sqrt(468)) + sqrt(468))*3)**2.\nAnswer: -6480*sqrt(13) + 106596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18755304 is divided by 6251736.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + d**2 - 8)*(-4*d - 5*d + 3*d) + d**3 - 4*d**3 + 4*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -144*g - 1441. Let b be q(-10). Which is smaller: b or 13\/718?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -6. Let p(i) = -i**3 - 6*i**2 - 5*i - 7. Let c be p(a). Let d = 6 + c. Put 0.3, d, 2 in decreasing order.\nAnswer: 2, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*s + 4*s - 115429, 0 = -3*s - 4*n - 346277. Suppose -2478843 = -9*w - 0*w. Let z = s + w. What is z rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b - 1. Let o be j(-4). Suppose -g - 2*g + l + 13 = 0, -25*l = 5*g + 5. Solve -5*s - o = f - 29, -s - g = 3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -195863.7 to the nearest 1000.\nAnswer: -196000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*h - 91*h + 3912 = -3011 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 106*m**2 + 1. Let f be w(1). Let l = f - -7. What is l rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0*d. Suppose -5*x + 245 = -d*x. Suppose l + 34 = 3*l. Calculate the remainder when x is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from ffufuuffuuffsfsfuff.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-1 - (2 + -6 + -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 14) to base 12.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 11*z + 1. Let o(w) = -w**3 - 9*w**2 + 17*w + 12. Let g(l) = 2*l - 1. Let b be g(-5). Calculate the remainder when o(b) is divided by d(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 41192ce + 2?\nAnswer: 41192d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -51*q + 15. Let k(y) = 7*y - 2. Let m(p) = 2*b(p) + 15*k(p). Let h(j) = 200*j. Give m(h(n)).\nAnswer: 600*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 49 (base 13) to base 16\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a + 27. Let m be w(-10). Is (m + 328\/4)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 s, and 1 r when three letters picked without replacement from rczzwwskrwsz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -21 (b) -1.42 (c) -5 (d) 5 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5362 by -544.\nAnswer: -2681\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4372788.\nAnswer: 2, 3, 7, 52057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 140869657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -1101878.6?\nAnswer: -440751.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6 = -0*n. Let t(s) = -83010*s + 4*s**2 + 0*s**3 - s**3 + 83007*s. Give t(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2\/6 - 961*w\/3 - 58261\/2 = 0. Calculate w.\nAnswer: -87, 2009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.42 + 1.42. What is the closest to b in -4\/5, 2\/5, 27?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 106*f - 9. What is the hundreds digit of t(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 3 + -53 + (-3 - -21).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -65 - 71?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49178532 divided by -1.\nAnswer: 49178532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (40 + -24 - 11)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20148588?\nAnswer: 2, 3, 19, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(3\/10)*(l\/(l\/l**(-2\/17)*l))\/l)\/(l\/(l\/l**(-1\/12)*l))**(-28) assuming l is positive.\nAnswer: l**(-15887\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - -11) + 75 + -65?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 48*k**5\/5 - 2280*k**4 + 550659*k**3\/5 + 845307*k**2\/5 + 63882*k = 0.\nAnswer: -3\/4, 0, 70, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 8, -5*z + 9*z + 4*m - 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/15 bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 262 + -345. Suppose -2*l - h = -8, 5*l - 5*h + 2 = -2*h. Which is the smallest value? (a) x (b) l (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0. Suppose 0 = 7*r + 43 - 57. Which is the smallest value? (a) r (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.095436m to millimeters.\nAnswer: 5095.436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 132*r**2 - 4345*r + 624. Give z(-67).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 95*q**2 + 9*q - 884. Calculate j(95).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 42 + 9 = 2*c, -c + 4*f = -19. Is 1\/6 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, x: 4, a: 11}. Give prob of sequence ax.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 4*m. Let t be (-20)\/(-15)*63\/42. Let p(s) be the second derivative of 0 + 1\/6*s**3 + 0*s**t - s. What is -g(l) - 3*p(l)?\nAnswer: -l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 6*c**2 - 7*c - 6. Let a be 2\/(-3) - 14\/(-21). Let r be (22 - 8)\/(-2 - a). Determine i(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5274*k + 1. Let v(f) = -2*f**2. Calculate v(d(q)).\nAnswer: -55630152*q**2 - 21096*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 755 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 44. Let r be (10 - -2)\/(-1 + p). Solve -2*l = -4 + r, -5 = -n + 3*l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/380 and -61\/92.\nAnswer: 8740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + (-9)\/(-3))\/1. Let y(x) = x + 34. Calculate the remainder when y(z) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - 4*j**4 - 3*j**2 + j**3 + 0*j - 6*j**2 + j as i + f*j**2 + a*j + y*j**4 + v*j**3 and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -7*i - 22. Find the third derivative of -51*s**4 - 324*s**3 + 324*s**3 + 42*s**i wrt s.\nAnswer: -1224*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-8))\/((-15)\/(-300)) - -151. Which is greater: 15 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 0)*(8*m - 2*m - 2*m).\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 r when three letters picked without replacement from {v: 3, l: 5, r: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245443 (base 7) to base 8.\nAnswer: 130150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-47772)\/(-16) + 2\/12 + 1\/12 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 10:49 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -376*l**2 + 192*l**2 + 172*l**2 + 6*l to the form w + y*l + j*l**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 43*k - 6 - 27*k - 27*k + 0. What are the prime factors of w(-7)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110331 + 3133?\nAnswer: 114014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -234, -536, -958, -1500?\nAnswer: -2162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002114458 to 7 dps.\nAnswer: -0.0002114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06011892961 minus 0.24?\nAnswer: -0.30011892961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**2 - 4*v**2 + 13*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854*q + 8*q = 46*q + 27588 - 7188 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -909 + 1115.4. Let q = -206 + p. Which is the third smallest value? (a) -6\/5 (b) 0.3 (c) -0.2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65204, -130947, -196698, -262457, -328224, -393999?\nAnswer: -459782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/5643 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 12:10 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n + 44. Let u be v(10). Find the second derivative of -u*p + p - 8*p**4 - 10*p wrt p.\nAnswer: -96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*j + 33, 5*m - 23 = -2*j + 4. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1)*-2 - 0. Suppose n + k*n + 6 = 0. Put 4, n, -4 in descending order.\nAnswer: 4, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 58100*a - 1337358.\nAnswer: 2*(a - 29073)*(a + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -30*v**2 + 12*v + 48. Let y(n) = 29*n**2 - 10*n - 41. Calculate 6*l(q) + 7*y(q).\nAnswer: 23*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*w = -98, -5*w = -3*w - 6. What are the prime factors of u?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -142, -234, -342, -472, -630, -822?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -461*k**3 - k**2 + k**2 - 535*k**3.\nAnswer: -996*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/729 and -52\/2817?\nAnswer: 228177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v = 3*v - 254451 + 53951. Calculate the highest common divisor of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008383 to four decimal places.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -13*y**3 + 9*y + 1. Is m(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 21*z**2 + 47*z + 20. Let p be v(-23). Let a(f) = -f**3 - f**2 + 3*f - 1. Give a(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/9590 and -41\/28.\nAnswer: 19180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 3*g**2 - g + 2. Let f be q(-2). Calculate the remainder when 4 is divided by (-11)\/(-4) + 2\/f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (-8)\/12*141\/2 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdik when four letters picked without replacement from djyvyvvkkdyvjdvvidk?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3. Let c(o) be the second derivative of 3*o**5\/20 + o**4\/12 - 3*o. What is the units digit of c(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 10410635?\nAnswer: 10410642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 0, -33, 17\/268.\nAnswer: -33, 0, 17\/268, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, k: 3, y: 7}. What is prob of picking 3 y?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493*s**2 - 244*s**2 - 136*s**3 + 132*s**3 - 249*s**2.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = f + q, 2*f + 13 - 31 = 2*q. Suppose -c - 2 + f = 2*u, -u - 7 = 3*c. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -15*t**2 + 6*t + 2. Let s(a) = -17*a**2 + 6*a + 1. Determine -2*p(z) + 3*s(z).\nAnswer: -21*z**2 + 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, -2\/9, 1883, -4, 2?\nAnswer: 1883","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - -9. Suppose 5*t - 22 = p. Suppose 2829 = -7*c + t*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, -10, -32, -64?\n\"Answer: -5*x**2 + 3*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 170 + -165. Which is the second biggest value? (a) 1 (b) i (c) 1.4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + 4*h - 3*h - 3*h + (-h + h + 2*h)*(0*h + 2*h - 4*h) + 0*h - 2*h**2 + 0*h - 6*h**2 + 3*h**2 + 13*h**2 + (1 - 1 - 2)*(7*h - 5*h**2 - 7*h).\nAnswer: 13*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, -2, 2\/167361, 0.2?\nAnswer: 2\/167361","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 14*q + 3. Let w be m(4). Let i = w + -5. Calculate the remainder when i is divided by -1 + -4 + 16 - (-3)\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 86, 166, 278?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 58 = 2*x + 2*d, 33 = 2*x - d. Suppose x*p - 39662 = 5*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 1. Let j(h) = -h - 8. Let v be j(w). Put -1, -3, v in descending order.\nAnswer: -1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114 times 0.559\nAnswer: -63.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -73237*o**2 - 292948*o - 3. Determine y(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -39.05291 times 0.014\nAnswer: -0.54674074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2856846, -2856740, -2856634?\n\"Answer: 106*u - 2856952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*r - 335*r + 94*r in the form p*r + c and give p.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z - z + 17*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 19, 1002, -5, 6, 2.\nAnswer: -5, 2, 5, 6, 19, 1002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x + 48. Let r be 0 - ((-21)\/x - -2). Let s = 125 + -124.9. Which is the closest to s? (a) 3 (b) -0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -441, -1760, -3959, -7038, -10997?\nAnswer: -15836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9340 + -9327. Solve -66 + 1 = p*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0. Let r be (-18)\/(-6) + 0\/n. Solve -d - r - 1 = 3*m, 3*m - 5*d = 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 10\/4 + -12 + 10. Which is the closest to -2\/3? (a) o (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b + 9. Let s(u) = 3*u + 5. Let l(x) = 5*s(x) - 3*w(x). Suppose 8*z - 8 = 4*z. Determine l(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57377 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23942\/3 or -7981?\nAnswer: -23942\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/12)\/((219\/(-146))\/((-12)\/(-10))).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14506605?\nAnswer: 3, 5, 31, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/1945 and -55\/9?\nAnswer: 17505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1421*u + 65958 = -1240*u - 27539 - 76807 for u.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16979*0.1\nAnswer: 1697.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 4*v**2 + 4*v + 3. List the prime factors of y(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/10 - (6 - 9). Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 10267501\nAnswer: -51337505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 - 2*d + 1. Is 2 a factor of z(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3685*z + 7291. Determine s(2).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 3. Let x be y(-2). Suppose x = z - 2. Suppose z*h - 19 = 17. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 3 (c) 1\/6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54897? (a) 0.4 (b) 19 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 1\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -290 divided by -2?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 56*n**3 + 3*n**2 - 6*n + 36. What is the thousands digit of s(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103\/257 - 1\/1285. Factor 2*s**2 + 8\/5 - 16\/5*s - x*s**3.\nAnswer: -2*(s - 2)**2*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 3450.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10 - -5 - 2*-2. Let a = 0.1 - -2.4. Let y = 2 - a. What is the third biggest value in b, -0.2, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 14 = y + y, 0 = 2*w + 3*y - 9. Let p = -1153 - -1167. What is the remainder when p is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9303 (base 13) to base 15.\nAnswer: 6023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*z + 46*z + 20 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 2:05 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10450 divided by 475.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 3514929691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 14. Suppose -2*g - 3 = -h*g. Which is greater: -1\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/3))**(-1\/16))**(-12) assuming h is positive.\nAnswer: h**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -113, -2, 67 in descending order.\nAnswer: 67, -2, -3, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-3 - (-15)\/6) - 2. Suppose n - 4*u = 22 + f, -3*n - 4*u + 38 = 0. What is the lowest common multiple of n and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.007 + -0.13. What is d rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, d: 9, k: 1, x: 2}. What is prob of picking 1 x and 1 d?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/4)\/9)\/(5\/2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -530174 (base 8) in base 10?\nAnswer: -176252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2300, -4282, -6264?\nAnswer: -8246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/9, -3\/4, -24, -133, 0.08?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-322)\/(-69)*(-12)\/14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -0*c - 2*c - 5, -4*c = -4*j - 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -23 (b) 421 (c) 0.5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*l**3 - 158 + 138 + 22*l**3.\nAnswer: -38*l**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(3\/7)\/p)*p**(-2\/5)\/p)**(-36))**(8\/9) assuming p is positive.\nAnswer: p**(-192\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4166597 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 2*a + 2. What is c(-7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -11161?\nAnswer: -11160.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -1) + (-52 - -87) + -45.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**2*x**4 - 1028266*a**2*x**3 - 287*a**2*x**2 + 3*a*x**2 - 29*a wrt x?\nAnswer: 24*a**2*x - 6169596*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -2*o**5\/25 - 4*o**4\/5 + 16*o**3\/15 + 96*o**2\/5 - 288*o\/5 - 334. Factor h(s).\nAnswer: -2*(s - 2)**2*(s + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**5 + 420634*k**4 + 2*k**3 + 1538920*k**2 - 3*k wrt k?\nAnswer: -120*k**2 + 10095216*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1497226, -1497263, -1497300?\nAnswer: -1497337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 164*b + 1908. Give t(-11).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91957518?\nAnswer: 2, 3, 59, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/(555\/80)*(-918)\/(-204)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-45)\/(-10)*(-2)\/(-3). Let z be h*(-2)\/(-3) - -1. Suppose 193695 = z*p - 229305. Round p to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -16*x**2 - 6*x - 2. Determine n(-2).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12260, -12258, -12254, -12248?\nAnswer: -12240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r - 4. Let f(z) = 3*z + 2. Let y(g) = 5*f(g) + 2*h(g). Let a(k) = 6*k + 1. Let t = -14 - -9. Let d(q) = t*y(q) + 4*a(q). Give d(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -4, -2, 0.4, 737?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 39*z + 390. Determine k(15).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**5\/220 + 20*x**4\/33 + 800*x**3\/33 + 4*x - 96. Factor v(m).\nAnswer: m*(m + 40)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 750 and 4250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 850748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -175, 1\/3 in decreasing order.\nAnswer: 1\/3, 1\/4, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**3 - 9*u**2 + 4*u. Let m(x) = -2*x**3 - x**2 + 2*x + 0*x**2 - 3*x**2. What is -4*i(a) + 9*m(a)?\nAnswer: -2*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3408011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -6. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omox when four letters picked without replacement from {z: 1, n: 4, x: 1, o: 3, m: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -691 (base 12) in base 16?\nAnswer: -3cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -54, -1 in descending order.\nAnswer: 4, -1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + y**2 - 12*y. Let h be n(-4). Let m = 0 + 0. Let d = 5 + m. Solve -3*g + 2*w - d = h, -3 = 5*g - 2*g - 3*w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -22. Suppose z*y - 18 = 6*y. Let a = 0 - 0.1. Is a smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 - 3*y - 1. Let c = 15 - 11. Let s(o) = -o + 6. Let f be s(3). Suppose -z = -2*m - 3, 5 = -f*m - c. Determine r(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -20*j**2 + 6*j - 680. Let l(i) = -i**2 - 4*i - 2. Let o(p) = 22*l(p) - w(p). Factor o(g).\nAnswer: -2*(g - 6)*(g + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5292?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieeeeeeeeeeizeizeeee. Give prob of sequence ezi.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 10 = -12. Solve -x*p + p - 21 = 5*i, i = p - 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**3 - 7*a**3 + 7*a + 2*a**2 + a**2 - 2*a**4 - 4*a**2 to n*a**2 + k*a**3 + z + m*a + g*a**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b + 14. Let z be x(-5). Let g = z + 36. What is the remainder when 37 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.08, 1, -4, 86, -1\/13, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2164037 by 22.\nAnswer: -2164037\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(500)*-1*-3)**2.\nAnswer: -180*sqrt(5) + 4509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101894 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -314 (base 8) to base 12\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 12. Let s = 0 + -5. Put 6, s, q in decreasing order.\nAnswer: 6, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 11*y + 14. Suppose -16 - 8 = -2*j. Let m be u(j). Suppose m = -w + 9. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 338 from -43.97508686.\nAnswer: -381.97508686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/53, 0.5, 18, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 424 (base 9) to base 14.\nAnswer: 1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 g when three letters picked without replacement from {e: 2, z: 1, g: 1, s: 2, y: 1, a: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.593581s in microseconds?\nAnswer: 4593581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.3695036 and -0.224?\nAnswer: 6.1455036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 382 = 65*i + 6*v + v - 4*v, -4*v = 2*i - 4 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 134, 1, 8, -107, -97?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 317 or 479886\/1513?\nAnswer: 479886\/1513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ees when three letters picked without replacement from {i: 2, n: 3, d: 5, e: 3, s: 3}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)\/s**2)\/(s**(-2\/11)\/(s**(-2)\/s)) assuming s is positive.\nAnswer: s**(-108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1445 divided by -17\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 2*f + 2. Let d be w(3). Solve -6 + 11 = d*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2013 = -j + 2056, 6 = 2*j. Let a = 6894 - f. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 + -7.3. Let f = l - -7. Which is the closest to f? (a) 0.3 (b) 5 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 5*t + 243. What is t rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99313082069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 2*o. Let n = -641 + 335. Let j be (-4)\/14 + n\/(-42). Suppose -5*z = -j*z - 4. Determine p(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 4:01 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-241*(-2 + 0))\/4*12. Suppose -100*a + 106*a - k = 0. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/1)\/(((-40)\/(-2))\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 8:23 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*y**4 + 152*y**3 - 1192 with respect to y.\nAnswer: -24*y**3 + 456*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyqjiqj. What is prob of picking 1 y, 1 q, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**4 + 4*h**4 - 3*h**4)*(-48 + 276 + 537) as y*h + o*h**4 + p*h**2 + n + j*h**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.772952000074 take away 2?\nAnswer: -76.772952000074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12280 + -2?\nAnswer: 12278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 366685 and 39301965?\nAnswer: 432321615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -4. Suppose s - 3 - 1 = k. Suppose 0 = -3*v - 5 - s. Sort v, 3, 1 in ascending order.\nAnswer: v, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -162*h**5 + 1 - 101*h**5 + 180*h**5 - 2336*h - 138*h**5 wrt h?\nAnswer: -4420*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(3 + -5)\/(1 - -2). Let f be s + 3 + -2 + 3. Let u(n) = n**2 - 2*n + 26. What are the prime factors of u(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(0 - 1) - -1. Let s(f) = -f**2 + f**r - 2*f**2 + f**3 - 1 - f. What is the units digit of s(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/11 - 8*u**2\/11 + 10*u\/11.\nAnswer: -2*u*(u - 1)*(u + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1101 is divided by 138?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 7:19 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 16*w + 8*w - 7*w + 4*w. Let a(j) = -4*j**2. Determine a(t(c)).\nAnswer: -1764*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/5 - 28*z**2\/5 + 128*z\/5 - 192\/5.\nAnswer: 2*(z - 6)*(z - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 118555638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 2*j**2 + 26*j**3 - 36*j**3 + 13*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 127.94359916 + -283.94359845. Let p = -7.8 - 148.2. Let x = p - n. Round x to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 0, -4, -1 in descending order.\nAnswer: 44, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 7621, 18\/11, 13\/77 in descending order.\nAnswer: 7621, 18\/11, 13\/77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p + 254963 = -105277. List the prime factors of p.\nAnswer: 2, 5, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/15 - (-2)\/6. Let s = u - -2. Solve s*k - 6 = 5*z + 23, -15 = 5*z + 5*k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 112310187 + -1?\nAnswer: 112310186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 26*p**4 - 27*p**4 + 9 - 6 to d + c*p**2 + q*p**3 + g*p**4 + u*p and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 2032700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 1128.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102992?\nAnswer: 2, 41, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1648 + 387*b + 499*b - 1648 + 116*b as t*b + w and give t.\nAnswer: 1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4 = 4*m, 0*u - 4*m + 18 = 3*u. What is the second derivative of 0*y**4 - y**4 - 5*y**4 - u*y + 5*y**4 wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 4:54 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19066 + -19065.1079. What is s rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1477 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 4:28 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1062, -2160, -3290, -4452, -5646?\n\"Answer: -16*r**2 - 1050*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 79*i + 58 - i**2 + 0*i**3 - 12\/5*i**5 + 0*i**4. What is the second derivative of m(f) wrt f?\nAnswer: -144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 times -254.24\nAnswer: 16779.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 180887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -246 + 398. Suppose 0 = 3*k + 4*c - 112, 5*c + g = 3*k + c. Calculate the greatest common divisor of 132 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 790*y + 777398 - 395*y - 393*y.\nAnswer: 2*y + 777398","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 2*p + 45. Suppose -2*g + 48*f + 5251 = p*f, 0 = -5*g + 4*f + 13145. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**17*f*f)\/f)\/((f*f**(-1\/13))\/f*f) assuming f is positive.\nAnswer: f**(222\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -106 * 3\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, -703, -2208, -4555, -7798, -11991, -17188?\nAnswer: -23443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 k when three letters picked without replacement from {n: 2, r: 6, f: 3, h: 4, k: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 4*a + 14, -3*a = 4*k - 30 + 25 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**2 + 3*d - 28. Let u(s) = 2*s**2 + s - 9. Give 8*u(g) - 3*v(g).\nAnswer: g**2 - g + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1720458)\/(-12)*(0 + 123\/(-315)). Let w = b + 55985. Calculate the common denominator of 305\/(-60)*(-2 + 5 + -1) and w.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14\/11 and 0.106 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -4716\nAnswer: -4716.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 b when three letters picked without replacement from mjjuquuuuuuquuubq?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21892400 is divided by 711.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 2*m**2 + 2*m. Let v be g(-3). Suppose -v*h + 4*p + 369980 = -4*h, 5*h + p + 1849995 = 0. Round h to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91591250 and 64113875?\nAnswer: 641138750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1360301*q**2 + 1360301*q**2 - 6267*q**5 + 0*q**4 - q**5 + 0*q**4 + (-4*q + 4*q - q**4)*(-2 - 2*q + 2) + q**5 - 2*q**5 - q**5.\nAnswer: -6268*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 24*s - 21. Give w(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17704, 17698, 17688, 17674?\nAnswer: 17656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -319\/72 - -71\/18. What is the common denominator of -73\/7624 and l?\nAnswer: 68616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 5 + (0 + 0 - 2)*(-13 + 4 - 1))*(-4*a**2 + 0*a**2 + a**2) in the form p + o*a + z*a**2 and give z.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-720)\/15*(-11)\/(-3465)*-15?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102.206 - -5.726. What is a rounded to the nearest integer?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84245 = 159*i - 102184 - 140743. What is the remainder when 2998 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/45 - 308\/495) + -176*(-1)\/90. Factor 34\/9*p**4 + 2*p**5 + n*p**3 - 2\/9*p**2 + 0*p + 0.\nAnswer: 2*p**2*(p + 1)**2*(9*p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 20*c + 19. Determine u(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 6*r**2 - 3*r - 14. Let n be ((-3)\/(-6))\/((-7)\/84). Let y be p(n). Suppose -x - y*x = -300. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 8*p + 15. Let l be r(-5). Suppose l*j + 5*j - 390 = 0. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -n + 18, -2*z + z - n + 11 = 0. Solve 0 = -3*m - z + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3799.\nAnswer: 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -206401*h**3 - 6*h**2 - 4*h + 5. Let r be l(-5). What is r rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m - 6. Calculate f(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-63)*(-28)\/12. Let g = 31\/5 + -129\/20. Let i = -0.001 - -0.501. Which is the closest to 0.1? (a) g (b) i (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -23*o**3 + 4*o. Let i(n) = 23*n**3 - 5*n. Let g = 1342 + -1338. What is g*i(m) + 5*w(m)?\nAnswer: -23*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*s + 59*s + 8106 = 197*s for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 + 14*c + 3. Let f be u(-7). Solve w + 5*v = -3*w + 2, -5*w = f*v - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 2088346.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from ggbgbb.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qunn when four letters picked without replacement from {q: 2, z: 4, u: 4, n: 5}?\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8301136.\nAnswer: 2, 277, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 0. Let t be 3 + -2*s\/(-4). Suppose t*h + i = 3*i - 16, -8 = -2*i. Are -3 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6) + (-133)\/(-84))*8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3513*b + 48*b + b**3 - 100 - 92 + 278 - 84 as g + v*b + d*b**2 + r*b**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyn when three letters picked without replacement from {n: 3, t: 4, b: 4, q: 5, y: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 4*a - 1. Let t(g) = -4*g**2 - 83*g - 3. Let d(o) = -6*n(o) + 2*t(o). Factor d(x).\nAnswer: -2*x*(x + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 1\/9*b**3 + 41 + b**2 + 3*b. Factor c(k).\nAnswer: (k + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4613 + 73761\/16. What is the common denominator of 57\/880 and o?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 164\/123*(3\/4)\/(7\/((-336)\/8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -261\/7 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51451233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s + 3. Let f(t) = -t**3 - 7*t**2 - 3*t + 10. Let j be f(-6). Let m be j - (-1)\/((-5)\/(-15)). Give v(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w - 6. Let q(r) = -3*r + 4. Let y(u) = 3*u**3 + 20*u**2 - 9*u - 7. Let i be y(-7). Determine i*q(p) + 5*a(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(36) + 2*(sqrt(36) - -3*sqrt(36)) + sqrt(36)))\/(sqrt(72)*-2*6 - (2*sqrt(72) + sqrt(72) + sqrt(72))*4).\nAnswer: 25*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/((-140)\/8)*14. Suppose g + k*g = 50. Solve -g = 4*p + u, 6*p + u + 12 = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + o + 64, -6*y + 5*o + 56 = -3*y. Let p be (-360)\/(-44) + -3 - 4\/22. Solve -2*f = -p*f + y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h = -158 + 107 + 561 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6199.8 + 6200. Which is the second smallest value? (a) -9\/2 (b) -5 (c) -1\/2 (d) j (e) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/2 + (1 - 2). Suppose 0 = x*t - 5*t. Let k(d) = -d - 7. Give k(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + 5. Suppose 6 = -4*i + v. Let g = 33 + -33. Solve 2*s = -0*p + 5*p + i, g = -p + 5*s - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 4 - 8*d + 2*d**2 - 5 + 8. Let g be h(8). Let q = 2 + -7. What is the closest to g in -3, 5, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 35*y - 1955. What is the remainder when 380 is divided by j(66)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0. Solve -2*q - 4 = o, -3*c = 2*c - 4*q + 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 15 = -4*w, t - 5*w = -13. Suppose -1 = -2*u + 7. Put -1, t, u in decreasing order.\nAnswer: u, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 9 + 3 + 5*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 4 + 4)*((0*q - 2*q - 3*q)*(0 - 2 - 1) + 7*q - 6*q + 7*q).\nAnswer: -69*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 3:11 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3733, 3776, 3753, 3664, 3509, 3288, 3001?\nAnswer: 2648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 110 and -18202.\nAnswer: -18092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 149388 and 4779?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -134.7 (b) -1\/9 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2715619 is divided by 8822.\nAnswer: 7265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 + 18*a + 24. Calculate m(-12).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*s - 2*r - 5, -12 = -4*s + r. Let i = 0 + 0. Let c = i - -3. Is c at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -13 - 3*k + 0*k + 12 + 3*k**2. What is the tens digit of d(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*v + 164, -2*b = -5*b - 5*v + 242. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54000213\/560 + 96429. Let b = 18\/35 + v. Calculate the common denominator of 133\/6 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - 10 - (-3 + -7 - 3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1571 = -22*c - 1439. Solve -150 = -31*g + c*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-1)\/((-4)\/(-12)). Suppose y*a = 8 + 1. Solve -5*g + 28 = a*r, -15 = -7*r + 2*r - 2*g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.18 + 0.2?\nAnswer: 2.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 14*y**2. Let c(k) = -1917*k + 3. Give c(o(w)).\nAnswer: -26838*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -986 bigger than -311276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + -3 - (-6 + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1450*y - 9880. Calculate f(7).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yywyyyywywwwy. What is prob of picking 4 y?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 1\/32, 0.18, 2, -8, -50?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 3*g**3 + 2*g**3 + (-4*g**2 + g**2 + g**2)*(0*g + 0*g + 2*g))*(-30 + 1 - 20).\nAnswer: 98*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - -20. Let l = s - 10. Let c be (48\/10)\/3*(-21 + l). What is the highest common divisor of 40 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in nineteen quarters of a microsecond?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 19*z. Solve 3*a - 3*p - 3 = 0, z = a - 3*p - 2*p + 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3247*k**3*y**2 + k**3*y + 2*k**3 - 446*k**2*y**2 - 5367*k**2*y + k*y**2 - k - 2*y - 3 wrt y.\nAnswer: -6494*k**3 - 892*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 461.5 + -461.4. What is the nearest to -2\/3 in v, 0.3, -6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -12 (base 12) to base 5\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 + n + 4. Let k = 39 + -39. Suppose k = -3*f - 4 - 5. Is a(f) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -32. Let b(x) = 10*x + 10. Let o be b(h). Let a = 111 - o. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*z + 14 + 17 - 32)*(2*z - 4*z + z).\nAnswer: -27*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-66)\/(-15)*(-24275)\/35. Let l = -2631 + 5688. Let p = d + l. What is the common denominator of p and 81\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r**2 - 115*r - 12586. What is f(-40)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 302399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -281 or -10446\/37?\nAnswer: -281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w + 126. Let j be f(16). Calculate the highest common divisor of 49 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56665.97355 rounded to the nearest ten?\nAnswer: -56670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxbbxxxxxxx. What is prob of picking 1 b and 1 x?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2379 divided by -61\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 2*h + 1)*(-3 + 2 - 1) + 5*h + 2*h - 4*h - 2*h + h - h)*(-4*h - 7*h + 3*h)*(2*h + 0*h + h) to z + g*h + c*h**2 + o*h**3 and give o.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 1. Suppose 17*a = -2*t + 17 + 12, t = -a + 7. Let p(l) = -2*l**2 - 2*l - 17. Determine a*p(h) + 2*r(h).\nAnswer: -2*h**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 17 = -4*b. Let j be -3*b\/9*1. Suppose -j*i + 63 = w + 2*i, -i = 4. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j - 3*h = -19*j - 41428, -4*j - 82832 = -2*h. What is j rounded to the nearest 100?\nAnswer: -20700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(15\/261) + -40*(-12 - -8)\/(-16)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/48 + 13\/(-182). Let z be ((-2)\/3)\/((-4)\/(-6)). Let j = 0.35 - 0.05. Which is the second smallest value? (a) l (b) z (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 19 = -2*q, 2*q + g = 3*g - 6. Which is the fourth smallest value? (a) -1 (b) 2\/9 (c) 0.4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 9 = -2*p + 11, 0 = -5*p + 2*u + 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -1218*j**3 + 38*j**2 + 5*j - 5. Let u(t) = 2440*t**3 - 77*t**2 - 10*t + 8. Let c(o) = -5*h(o) - 3*u(o). What is the third derivative of c(w) wrt w?\nAnswer: -7380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-11))\/(4\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2*4\/(-1). Let g be (16\/(-28))\/(s\/7). Solve -3*k = 7 + g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-220)\/48)*2\/8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 40*h**4\/3 - 5*h**3\/12 + 155*h. Determine u, given that l(u) = 0.\nAnswer: 0, 1\/64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000244045471 to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1113614*b**2 + 1382717*b wrt b?\nAnswer: -2227228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28495001)\/(-5) + ((-24)\/15)\/8. Round w to the nearest one hundred thousand.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7263*n + 689983. Determine f(95).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - ((1 - 2) + 0) - (-3730 + 3722).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j - 31*j - 3*j + (3 - 5 - 1)*(0*j + 4*j - 3*j) to the form n + f*j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 71, 179, 361, 635, 1019?\nAnswer: 1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*y = 21*y + 621 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004287189 rounded to six dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 511759 + 1328241. What is c rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((44\/175)\/(-11))\/(-2)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119\/48 - 131\/48. Let m(o) = -o**2 + 7*o + 10. Let w be m(8). Let p be (-2 - (-7)\/w)\/(-9). What is the third smallest value in p, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 + 21 + -92 - (-8 - 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + l - 3*l = -8, -l - 8 = -2*p. Suppose p*f + 275 = -184. Is f > -153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5 + 12668*b**2 - 1 + 3*b + 0*b + 3. Suppose 0*k - x + 4 = -3*k, 6 = 3*k - 3*x. Let d be o(k). Round d to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 24e32 + -4?\nAnswer: 24e2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/((-448)\/(-120))*(-164)\/10)\/((-9)\/12)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 233*v + 550. Let t(w) = 691*w + 1650. Let u(n) = -7*j(n) + 2*t(n). Differentiate u(y) with respect to y.\nAnswer: -249","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4447925 and 2825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/7 + 6\/7*z - 1\/7*z**2.\nAnswer: -(z - 5)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 + 73. Suppose a + u + 3 = 2, -a = 5*u + h. Find the first derivative of 10*s**a - 204*s**3 - 3 + 204*s**3 wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010112101 (base 3) to base 13\nAnswer: -22084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*c**2\/4 - 244881*c\/4 - 29385\/2 = 0. What is c?\nAnswer: -9795, -6\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 7, -0.296 in decreasing order.\nAnswer: 7, -2\/17, -0.296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 5, -142, 11\/4, -1.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3284 is divided by 54.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-11)*p)\/p)\/p*(p\/(p\/p**(-6)))\/p*p)**38 assuming p is positive.\nAnswer: p**(-684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 4*w - 4*w)*(0*w**2 + 3*w**2 - 5*w**2).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/126)\/((-14)\/18)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*k + 376*k + d = 11, -5 = 2*k + 5*d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 294469364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.8 + 0.5. Let u = -4 + z. Sort 0.1, -4\/7, u in increasing order.\nAnswer: -4\/7, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11035 and -1805 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 49 = -719. What is the smallest common multiple of (b\/48)\/((-2)\/(-3)*1) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81835910 divided by 10?\nAnswer: -8183591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 2 = -b. Suppose -10 = -d + b*d. Let z(u) = -u**2 - 7*u - 5. Calculate z(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.002.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -34784 divided by 2174?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 11*i**5\/14 + 37*i**4\/7 + 76*i**3\/7 + 8*i**2\/7 + 135*i. Determine w, given that n(w) = 0.\nAnswer: -2, -2\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1143149411 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -8*c. Suppose -3*m - 4*q + 7 = 0, 25*m - 20*m + 5*q = 15. Suppose -g + 2*l = -5*g + 20, m*g - 25 = -l. Give i(g).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.08 - -0.08. Let w(z) = -2*z**3 - 12*z**2 - 2*z - 7. Let j be w(-6). Which is the smallest value? (a) i (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*n - 932 + 687 = 1537 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1934.89938295 - 2\nAnswer: 1932.89938295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 306, 711, 1298, 2079, 3066, 4271?\nAnswer: 5706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2583 divided by 2.\nAnswer: -2583\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(-13*f**2 + 13*f**2 + 17*f**3) + (-2*f + 2*f + f**2)*(2*f - 5*f + 2*f) - f**3 + 2*f**2 - 2*f**2.\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from lnllzzzlhlhrzhh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32798 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28383*o**3 + 5045*o**3 - 54945*o**3.\nAnswer: -78283*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2 - 6*s - 5. Let c(w) = -2*w**2 - w - 1. Give -6*c(m) + o(m).\nAnswer: 16*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121 + 4.6?\nAnswer: -2116.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2459913 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 16, 2, -10, 3 in descending order.\nAnswer: 16, 3, 2, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*t + 45*t = -49*t, 2*k - 2*t = -6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 6*q + 16. Suppose -4*g + 0*u + u + 66 = 0, 72 = 4*g - q*u. Calculate the remainder when 123 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 5. Suppose 244 + 233 = -t*s. Let v = -35 - s. Calculate the lowest common multiple of v and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 664423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103243?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*l = -20, -2*q + 31 - 22 = 3*l. What is the third derivative of 62*d**2 - 2955*d**6 + 3203*d**q - 8*d**2 wrt d?\nAnswer: 29760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**2 - 14*a**2 + a**3 - 13*a**2 - 10 + 33*a**2 to d*a**2 + t*a**3 + i*a + u and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -48964, -98010, -147056, -196102?\n\"Answer: -49046*u + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170240 is divided by 28324?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87680390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/15120 and -123\/3920.\nAnswer: 105840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bd + 4220?\nAnswer: 42dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/112)\/((-103)\/721). Let y(h) be the second derivative of 0*h**3 - s*h**4 - 22*h + 0 + 0*h**2. Let g(r) = -r**2. What is g(y(p))?\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - (-6 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1096 - 1095.9981255. Round m to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) 0.1 (b) 0.3 (c) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - f - f)*(144 - 133 + 117).\nAnswer: 128*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207 and 7.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**5\/60 - o**4\/8 - 2*o**3 - 7*o**2. Let b be l(6). Does 12 divide (b + -2)\/((-10)\/(-95))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-810)\/(-20) + -39)*-20.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-10) - (-9)\/2. Suppose 0 = 2*a - 4*h - 6, 0 = 3*a - s*h - 3 - 3. Let y(v) be the second derivative of v**3\/2 + v**2 - 2*v. What is y(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (1 - 9) - (-248007)\/(-49533). Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 23*q**4\/24 - 2*q**3\/3 + 3*q**2. Let a = 314 - 313. Let h be w(a). Solve 5*l = 2*r - h - 7, -5*r + 11 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + -5)\/((-3)\/24). Let d be (1\/2)\/((-1)\/(-4)). Let i be 2 + 3 + (-1 - d). Calculate the greatest common factor of x and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50077 = 1140*q - 68487 - 27356 for q.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -31090.46 rounded to the nearest 10?\nAnswer: -31090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ollhha. Give prob of sequence hahl.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/10)*f*(f**(-1\/8)\/f)\/f)**(-5) assuming f is positive.\nAnswer: f**(41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -522 + 527 + (-9 - (5 - 10)) + -55 + -2\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x - 6 - 3*x + 12*x - x**2. Suppose -f - 5*p = -4*p - 11, 0 = 5*f - 3*p - 47. List the prime factors of g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 - 96. Suppose -j - 24 + 26 = p. Let t be -4 + 2 + 22*1\/j. Is t at most as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6671.473 years to centuries.\nAnswer: 66.71473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11479 by -35.\nAnswer: 11479\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(22\/80*7). Let p = b + -2\/11. What is the closest to 0.1 in p, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 430*s**4 + 911*s**3 + 3131*s**2 wrt s.\nAnswer: 10320*s + 5466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8054525 is divided by 163.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*b + 150 = 4*a + 116*b, -5*a - 3*b + 165 = 0. Solve 61 + 59 = a*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 833*v**3 - 49*v - 9 wrt v.\nAnswer: 4998*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-468)*(6\/(-1))\/((-20)\/(-30)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = 5*a - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.6 + -3.59. Is -3 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, 640, 1466, 2622?\nAnswer: 4108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 8 + 2)*(-7*s**2 - 10 + 10).\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*u = 32, 0 = j - 5*u + 6 + 22. Let v(x) be the first derivative of -3*x**2 + 2*x + 1. Let a(w) = -5*w + 2. What is j*a(h) + 2*v(h)?\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxdox. What is prob of sequence xo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -5076, -6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*h - 11 = 0, 0 = -s + 3*h + 1 - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4\/2 + 6*c**3 + 3*c**2\/2 - 6*c.\nAnswer: -3*c*(c - 4)*(c - 1)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*s - 4 + 6, 5*n + s = -32. Is 61 a factor of (900 + 15)*(-4)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(0 - 14\/(-2)) + 2. Let j be 5491\/85 + 3\/l. Calculate the greatest common factor of j and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3743224*p**2 - 7455290?\nAnswer: -7486448*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 + -0.15. Which is the biggest value? (a) 0.3 (b) -1\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 11*h**2 - 34*h + 29. Is s(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 523*u**2 - 373*u + 5. Let q(v) = -v**2 - 3*v + 1. Let i(z) = 4*b(z) - 20*q(z). What is the second derivative of i(d) wrt d?\nAnswer: 4224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12486150 or -62430757\/5?\nAnswer: -12486150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, 1, -7, 3 in descending order.\nAnswer: 8, 3, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 0*v**2 + 5\/12*v**4 + 0*v**3 + 3 + 26*v. Let k(m) = 7*m. Give k(g(n)).\nAnswer: 35*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3 - 31026*d**2 + 38593*d?\nAnswer: -6*d - 62052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 9*t + 5 - 11 = 21, 9*v - 169 = 11*v + 5*t for v.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*p = -p - 45, -4*p + 34 = 3*h. Suppose 14*c - 48 = h*c. Which is bigger: c or 0.06?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 2741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -989320 - -27?\nAnswer: -989293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a meter in centimeters?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-6)*-2*1. Let a be 0\/(8\/(-4)) + m. Let i = -1099\/5 + 219. Is a <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/4530 and 223\/13650?\nAnswer: 2061150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154)\/33*(-2535)\/(-338).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49090*l**3*q**2 + 546*l**3*q - 34*l**2*q**2 + 431*l**2*q + 75*l*q**2 - 5*q**2 wrt l.\nAnswer: 294540*q**2 + 3276*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4499423.\nAnswer: 4499423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1872)\/7800*(-1)\/(-6)*-2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1089) - sqrt(1089)*2)\/(-2*sqrt(147)) + -3.\nAnswer: -3 + 11*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 5 = 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3697.16652 plus -5?\nAnswer: 3692.16652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -151, 10, 8 in descending order.\nAnswer: 10, 8, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b - 7*b - 3*b + 3*b + 0*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -57\/5 (b) -130 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(2*m + 2*m - 8*m)*(-2 + 6 - 2) + (1 + 2*m - 1)*(1 - 1 + 1) + (9 - 25 + 13)*(-m + m + m) - 3*m + m + 3*m in the form z*m + c and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.4 + 2. Let g be ((-2)\/(-10))\/((-2)\/5). Let k be -1 - -2 - (-40)\/(-50). What is the closest to g in d, k, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -1151*d**6\/40 - 128*d**5\/5 - 19*d**2 + 25*d. Find the third derivative of b(w) wrt w.\nAnswer: -20718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*d - 49 = 74*d. Suppose -2*y = -x - 25, 5*y + 22 = d*y + 2*x. Calculate the remainder when 43 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 23. Suppose r = 2*r - 2*z - 48, 5*z - 144 = -t*r. Which is bigger: r or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.61681892 to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t = 2. Let q = 3 - t. Solve -q*w + w - 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*(-20)\/(-35). Let p = -0.2 - -1.2. Let q be (-2)\/7*(-119)\/(-204). What is the closest to d in q, 13, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5386*j - 2847*j + 7*j**2 + 8233*j.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from {a: 1, m: 3, j: 2, k: 6, c: 5}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16523112 and 15768?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**4\/12 + d**2. Let j(g) = -g**2. Determine s(j(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 118836 - 118836.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1367\/2 + -13769\/20. What is the common denominator of 9 + 93\/(-10) - 9 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -364245678.1 rounded to the nearest 1000000?\nAnswer: -364000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 smaller than -2\/172001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from qzzfzozffz.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20384, -40756, -61126, -81494, -101860, -122224, -142586?\n\"Answer: o**2 - 20375*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-16 + 6 + 13)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2*g**5 + 9\/2*g - 27 - 6*g**4 - 6*g**3 + 33*g**2 = 0 for g.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11014, -22112, -33364, -44848, -56642, -68824, -81472?\nAnswer: -94664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + -50 + 30 - 57?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13661915903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -869? (a) -15 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11040*t + 98 = -11026*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337541276?\nAnswer: 2, 84385319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99*w + 21*w + 40*w + 152 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - -3) + 0)*8\/(-24)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18 + 203\/(-35) + -12. Which is the biggest value? (a) 2\/4529 (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2418, -4830, -7226, -9600, -11946, -14258, -16530?\nAnswer: -18756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75165147 by 18099.\nAnswer: -4153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*(sqrt(1377) + sqrt(1377)*-3))**2*-1*5.\nAnswer: -991565 - 5400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*p**4 + 2 + 3*p**4 + 18*p**2 + 52*p**4 + 0 + 11*p**3 as v*p**2 + o*p**3 + h*p**4 + x + a*p and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8911650131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 3. Let g be k(-5). Suppose 26*r - 4 + 4 = 0. Let 2\/7*d**4 + 2\/7*d**5 - 2\/7*d**3 + 0*d + r - 2\/7*d**g = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1728 - -41357\/24. What is the common denominator of ((-696)\/112)\/(360\/28) and p?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 = -3*q. Suppose 0 = -2*l - 8 + 4. Let w = l - q. What is the remainder when 11 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 22*a - 46. Let z be w(-19). Is (-2)\/4*22\/z*-89 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -250\/77 - -24\/7. What is the biggest value in 1\/2, -8, n, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*h - 4 = 0, -2*v + 3 = -4*h - 1. Solve -2*g + 2*b - 18 = 0, 0*g - 2 = 3*g + v*b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192205 rounded to the nearest one thousand?\nAnswer: -192000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + -11. Let f be b\/(-44) + (-4)\/(-22). Let v = f - -1. Solve -1 + 3 = v*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 14, -4, -6, -5, 6, 1 in increasing order.\nAnswer: -10, -6, -5, -4, 1, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 64*j - j)*(3*j**2 - 5*j**2 + j**2)*(3 + 5*j**2 + 8*j - 2 + 0).\nAnswer: -330*j**5 - 528*j**4 - 66*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9121 - -8879. Which is the fourth smallest value? (a) 0.5 (b) 1\/3 (c) v (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2551669164 a multiple of 3421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 1\/120*p**5 + 0*p**3 + 0*p + 0 - 1\/240*p**6 + 7*p**2 + 0*p**4. Determine g so that j(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160756982 by 23.\nAnswer: -6989434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*f + 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 339 = 4*f - 445, 315 = 2*k + 3*f. Let y be (-15)\/k + (-8)\/52. What is the second smallest value in 2\/5, y, -11\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1312901885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0 + 0*p**4 + 0*p - 4*p**2 + 1\/6*p**3 - 1\/30*p**5 + 1\/120*p**6. Let h = 4 + -5. Calculate b(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 0.01 (c) 56 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a century in months?\nAnswer: 12480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.69 + -0.79. Which is the nearest to j? (a) -0.5 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 224 + -222. Suppose b + s = -2, -2 = 5*b + c*s - 7. Solve -1 = l + b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 3*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 4) in base 3?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-4)*230\/483.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 59*s - 9. Let f(y) = 29*y - 4. Give -5*f(o) + 2*q(o).\nAnswer: -27*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3081*n - 5010*n + 2617*n in the form l*n + c and give l.\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4689.25173 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313454, -313438, -313424, -313412, -313402?\nAnswer: -313394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, -2761, 7.\nAnswer: -2761, 7, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7482?\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104351, -208728, -313105, -417482, -521859, -626236?\nAnswer: -730613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -166*n + 167*n + 140*n + (-2 + 1 + 2)*(-5*n + 2*n + 2*n) to the form d + p*n and give p.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**4\/4 + 4*j**3\/3 + j**2 + j - 1. Let a be m(4). Suppose -4*u = -a*u + 10. Is u <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/(14\/15*-3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 315702 and 180?\nAnswer: 3157020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -10*k - 12. Suppose -8*o + k*o = -25. Let i = 14 - o. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-6) - (-4 - 85\/(-30)). Solve 0 = -2*z + 4*v, 4*v - 3 = 4*z + i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*j**5 + 27*j - 27*j + j**5 + j**2 - j**2 + (-2*j + 2*j + 2*j)*(0*j + j**4 + 0*j) + 0*j**5 + 0*j**5 - j**5.\nAnswer: 13*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.916 - 0.084. Suppose 2*s - 8 = -2*s. What is the biggest value in s, -1, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - j**2 + j + 10. Let o be i(0). Let c(z) = -z**3 + 10*z**2 + z - 1. Does 3 divide c(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12287 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/141991420 and -59\/88?\nAnswer: 3123811240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - -13 - (-87 - -96). Let q be 1*(-3 + 2) + 3. Let k(n) = -5 - 3*n + q - n**3 - 4*n**2 + 2*n**3. Give k(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/761014403 or 1?\nAnswer: 6\/761014403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2864*k - 1245*k + 459*k in the form z + g*k and give g.\nAnswer: 2078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 - 227*y - 106875.\nAnswer: (y - 1250)*(y + 342)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6911893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-76)*-14*4\/(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -132, -170, -224, -294, -380, -482?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 7:54 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 4:11 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 79081.1 micrometers?\nAnswer: 0.0000790811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 - -54.046. Let m = a - 0.045797. Round m to five dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 4*d**2 + 2. Let u be i(4). Suppose 0 = -2*r + 4. Factor 4*m**2 + 2*m**3 - m**4 - 2*m**u - m**4 - r*m.\nAnswer: -2*m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7773728 is divided by 597976?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 561*x**5 - 9426*x**4 - 133530*x**3 - 19620*x**2 + 84969*x - 18954 = 0. Calculate x.\nAnswer: -9, -1, 3\/11, 9\/17, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -844 divided by -76067.\nAnswer: 844\/76067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 87285137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/((-98)\/(-21)))\/(26\/(-2639)))\/(-3).\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6064 - 15508 = -b, 64672 = 3*b - t. Is b a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u - 9. Suppose 0 = -14*s - 477 + 421. What is l(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 960*(1875\/(-100))\/(9\/(-1725)). Round n to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1706951\/30 + 56887. Let r = -56\/5 - j. Do 0 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 12?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 477 minutes after 6:29 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 3*l**2 - 3*l)*(0 + 6 + 0)*(1075 + 86 - 47)*(1 - 3 + 4).\nAnswer: 40104*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11760000 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2313832 litres in millilitres?\nAnswer: 231.3832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 11:45 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148737 is divided by 245?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6792 or -6794?\nAnswer: -6794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m = -28*m + 8. Let i(h) = h**3 + 3*h**2 + 3*h. Let a be i(m). Let w be (-54)\/(-12) + 3\/a. Solve 0 = -5*l - w - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oonq when four letters picked without replacement from nnoonnnqnnnnoqnnn.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 14*n**2 - 4*n + 84. What are the prime factors of m(-9)?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 50, 8, -54, -136?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9*m**2 - 5*m + 5. Let w(l) = 4*l**2 - 2*l + 2. Let q(z) = 11*z - 60. Let j be q(5). Calculate j*w(f) + 2*n(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-22) - 7936\/341?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2. Let t(d) = -8044*d + 2. Determine z(t(i)).\nAnswer: -129411872*i**2 + 64352*i - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71387, -285669, -642865, -1142981, -1786023, -2571997, -3500909?\nAnswer: -4572765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*n**2 - 54*n**2 - 5405 + 5405 + 77*n**2.\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, n: 1, p: 2, s: 2, y: 1, b: 2}. Give prob of sequence bnp.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5))**(3\/10)*(f**4*f)\/f**6)**(1\/7) assuming f is positive.\nAnswer: f**(-4\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-45))\/((-132)\/198)*15\/42.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z + 39. Determine j(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + -55316?\nAnswer: -55300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11 - 7 - (255 + 2). Let c = -148 - d. Suppose 4*o = -o + c. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1216) + 1 + (sqrt(931) - -2*sqrt(931)) + 5 + sqrt(931) + -5)**2.\nAnswer: 144*sqrt(19) + 24628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -3*x + 6*l - 3*l, 4*x + l = -110. Let a = x + 48. Suppose -3*f + a = 4*n, -4*f - 3*n + 37 = 1. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 194 (b) 0.5 (c) -1\/5 (d) -3\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 454 + 282. Let d be x\/5*25\/(-2945). Let z = d - -42\/31. Sort 0.1, -9, z in decreasing order.\nAnswer: z, 0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 0*r + r + (-2 - 1 + 2)*(-3*r - 2*r + 3*r) - 2 + 2 + 2*r - 2*r - 3 + 3 + (-1 - 1 + 3)*(r + 0*r + 0*r) - 2*r - 8*r + 34*r.\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 235*m + 4 + 239*m + 10 to o*m + d and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -777410 divided by 34\nAnswer: -22865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, j: 5}. What is prob of picking 2 d and 2 j?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 - 153 = 25*l + 297 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*b**4*y**2 - 2*b**2*y**3 + 78*b*y**3 wrt b?\nAnswer: -360*b**2*y**2 - 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - (sqrt(65) - (sqrt(65) - (sqrt(65) + -3*sqrt(65)))))*1)\/sqrt(5) + -2 + sqrt(117) + sqrt(117) + 0 + 2)**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 2:19 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*((sqrt(136)*-2 - sqrt(136) - sqrt(136)) + sqrt(136)))\/sqrt(8).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 o when three letters picked without replacement from jkjookoj.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (29\/25984*48)\/(4\/(-16))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 146737009 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 9:19 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 999 * -0.5.\nAnswer: -499.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250683619?\nAnswer: 1579, 158761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 11:40 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(100\/15)*(-8)\/36.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/43747 and 20\/11?\nAnswer: 43747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 18*s = 3, 0 = 5*a + 2*s - 438237. Suppose 0 = 21*u - 2*u - a. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.3 - -1.7. Which is the second biggest value? (a) -2\/7 (b) -6 (c) 0 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 6, -n + 4*y - 8*y - 15 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64356319?\nAnswer: 2141, 30059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/15)\/(6\/432*-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*u - 1 - 66*u + 1.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2664 divide 41142816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c + c - 2*c + (-2*c + 3 - 3)*((-1 - 3 - 1)*(3 - 6 + 2) + 3 - 2 + 1)*(3 - 2 + 4).\nAnswer: -76*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9055 is divided by 471.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g + 623 + g + 14 + 133 + 212 to t*g + k and give k.\nAnswer: 982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16424 is divided by 2485?\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00882947242 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 646 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14 + 278963826.\nAnswer: 278963826.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*l - 3, 7*n - 5 = 5*l + 2*n. Let v be (l - -1)*((-42)\/(-12) + -4). Suppose v = 2*m - 0*m - 3*y - 63, 10 = 2*y. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*i**3*n - 5056*i**2*n + 367*i*n - 71*n - 2 wrt i?\nAnswer: -126*i*n - 10112*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*h**4 + 223*h - 41982 wrt h.\nAnswer: 16*h**3 + 223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5789 + -5784. What is the nearest to 1\/7 in 2\/3, 245, m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4, 3, -1\/4, -204, -9.\nAnswer: -204, -9, -1\/4, 0.1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/(-33) - 7\/(21\/(-6)). Which is bigger: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220272 is divided by 57?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19685916516.560062 + 19685945832. Let z = 29318.34 - p. Let t = z - 2.9. Round t to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33c0 (base 15) to base 8.\nAnswer: -25344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.5, -0.2, -0.557, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 bigger than 1066\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-576)\/(-5280)*(5\/(-3) - -5)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 17*v - 6 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 4 = -7*b. Let q = 16341 + -15841. What is the highest common divisor of b and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*h + 2*z + 2, z - 1 = 0. Let j be 1 + -3 + 27\/h. Suppose -3*n = -2*b + 5, -4*b + n = 1 - 6. Calculate the highest common divisor of b and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 227 - (-3 + 5 + 2 + -1). Suppose 291*c = 290*c + 7. What is the highest common factor of g and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 0. Suppose l*a = 5*u + 22, 5*a - 3*u + 4*u = 18. Suppose a*h + 33 - 89 = 0. Calculate the remainder when 27 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89.17 - -102.46. Round q to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 + 5 = 0. Let p = f + -7. Calculate the remainder when 46 is divided by (-75)\/(-5) - 3\/p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from yppddiddr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34541228 divided by 436.\nAnswer: -79223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from {x: 8, u: 4, z: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*u - 42 = -149*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 118*k + 710. Let y be o(-6). Let x be (-1)\/3 + 2\/6. Suppose x*m + s - 4 = -3*m, -5*s + 20 = -y*m. Solve 3 = 3*c + 2*u + 3*u, 2*c + 5*u - 2 = m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001101 (base 2) to base 10\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*a - 28, -11*l = -3*a - 10*l + 22. Let y(q) = -q**3 + 7*q**2 + 3*q + 18. Determine y(a).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 0*d - 2*d**2 + 0 - 9\/20*d**5 + 3\/4*d**4 - 1\/2*d**3 + 1\/10*d**6. Factor z(p).\nAnswer: 3*(p - 1)**2*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 328285761 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38212974 divided by -406521.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.42 * 0.3.\nAnswer: 0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(2\/(-34) + 0). Let i = 229318 + -229317. Is k greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(33\/(-6) + 4). Suppose 0 = -3*b - 2*h + 5*h - i, -b + 5 = 2*h. Which is bigger: 1\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772087297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -1. Let r(l) = l**3 + 4*l**2 + 2*l - 1. Let q be r(-3). Let o = 2 - q. Sort -3, a, o in descending order.\nAnswer: o, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((924\/(-8))\/21).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(30)\/sqrt(490))**2 + ((1*(sqrt(48) + sqrt(3) - sqrt(3)))**2 - sqrt(3))) + (-1*(1*sqrt(363) - sqrt(363)) - (sqrt(363) + -1 + 0)).\nAnswer: -4661\/49 - 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 488 - 495. Let y = 9.3 - 8.3. Let q = -0.03 - 1.97. Which is the nearest to -1? (a) y (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5455413 (base 6) to base 2.\nAnswer: 1000010011011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - -1174?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 745435 + 0?\nAnswer: 745435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/2)\/(6\/96) - 3. Let x(w) = 7*w - 35. Let y be x(z). Solve 2*p = -y*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 - -31.473?\nAnswer: 31.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 980694 by -75438.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4861243 litres?\nAnswer: 486.1243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**2 - 27*k + 82*k - 25*k - 1366 - 25*k.\nAnswer: -13*k**2 + 5*k - 1366","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 2\/25, 0.3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(6\/13)\/(r*r*r*r\/r**(4\/7)*r*r*r) assuming r is positive.\nAnswer: r**(-543\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l - 9. Let k be j(-15). Suppose 2*z + 15 = -z, 4*p - z = k. Suppose y - 10 = -4*y. Solve y*a = -p*f, 0 = -a + 3*a - 5*f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 480*v**3 - 2067*v**3 - 1615*v**3.\nAnswer: -3202*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4960 and 620.\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.078 and 0.6076?\nAnswer: 0.0473928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 - 1)*(2 - 1). Let g be (-9)\/(-7) + (-5304)\/(-546). What is the tens digit of g + (w - -10) + (-2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*k - b = 90*k + 5, 4*k - 25 = 5*b. Solve n = 2*r, 2*r - 5*n + k*n = 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7064 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(275) + 3*sqrt(275) - sqrt(275)) - (-1 + sqrt(275))*-2.\nAnswer: -4 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d = 6*d + 46*d + 180 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + 164*q + 47*q - 256*q + 48*q - 5*q**3.\nAnswer: -4*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -113*j - 339. Let v be y(-3). Let i(n) be the second derivative of v*n**2 - 33*n - 13\/3*n**3 + 0. Let s(t) = -t. What is s(i(x))?\nAnswer: 26*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 516 = -27. Let i = j - -630. Is 17 a factor of -2 + (1 - i)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3.9. Let y = -0.11 - 3.89. Let b = 6 + y. Sort r, b, 0.2 in descending order.\nAnswer: b, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -13*n**2 + 12*n**2 - 67 + n**3 + 70 + n. Give q(-4).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 588408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 0*b**4 + 3*b + 0*b**5 + 0 + 1\/21*b**7 + 0*b**6 + 0*b**2 + 1\/3*b**3. What is the second derivative of q(i) wrt i?\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(7\/(-3)))\/(3\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*p**4*y + 60891*p**4 - 2*p**3 - p**2*y + p*y - 3*y - 523 wrt p?\nAnswer: 72*p*y + 1461384*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -86770, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108261955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 3 - 10 - 7. Suppose -2*p = 117 + 211. Let r = p - -164. Calculate a(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -20, -28, -28, -14, 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*b + 10, -5*r - 8 = -6*b + 10*b. What is the biggest value in 3, 0.2, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 17. Solve 0 = -a*t + j + 1 - 6, 0 = -3*t - 5*j - 29 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 + 1.14. Let d = 0.34 - j. Let m = -5 - -10. Which is the second smallest value? (a) 0.4 (b) m (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5898*z**2 - 646 + 1218*z**2 + 1205 - 559 - 3786*z**3 wrt z.\nAnswer: -22716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/77 and 70\/(-42)*(-29)\/(-2)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-4)\/(2 - 6). Suppose 0 = -5*t - 5, y*t + 10 = 2*g - 4*t. Suppose 0 = g*u + 4*a - 22, -3*a - 43 = -u - u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*k + 7668 + 4937, -10100 = -4*k - 4*t. List the prime factors of k.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) -2\/15 (c) 52 (d) -93.7 (e) 0.5 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1477 + 1492 = -5*k. Let r(p) = 2*p**2 + p + 1. Let f(q) = -6*q**2 - 2*q - 4. Calculate k*f(h) - 8*r(h).\nAnswer: 2*h**2 - 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30272 + -30271.85999872. Let m = -13 - -13.14. Let h = q - m. What is h rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.84888 decades to years.\nAnswer: 198.4888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 492 and 574.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - (107 + -1) - ((-346 - -38) + 311).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Suppose -4*w - 5 + 181 = q. What is the remainder when w is divided by ((-5)\/(-2) - 1)*10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 2226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2. Let r(m) be the third derivative of 0 - 3*m + 0*m**3 + m**2 - 3\/8*m**4. Determine n(r(z)).\nAnswer: 243*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/j**(-13))\/j)*j)\/((j*j**(-4\/5)*j)\/j)*j**(2\/41)\/j**(-5\/6) assuming j is positive.\nAnswer: j**(-12691\/1230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 3*k - 5*k)*(4*k + k - 2*k) + 0*k + 0*k - k**2 - 1 - 2*k**2 + 8 - 8 as t*k + i + h*k**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 3*g**2 - 3*g + 2. Let p be j(5). Let z be p\/(-9) - 2\/(-6). What is the greatest common factor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-81)\/1809) - (1 + 0))\/(-2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 223 + 1349 = -4*r, -2*r + 396 = t. List the prime factors of ((-22)\/55)\/(t\/395 + -1).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 + 23. Suppose 0 = -h + q - 19. Calculate the highest common divisor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4674072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*f**2 + 3 - 3)*(2 + 0 - 1) + (-2*f + f + 2*f)*(3 - 3 + f) + f**2 - f**2 - 2*f**2)*(-6*f + 1 + 1 + 4*f) to w*f**3 + k*f + i + r*f**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k + 1. Let z(b) = -64*b + 179. Let x(y) = w(y) - z(y). List the prime factors of x(40).\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 6:10 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14\/9 of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14 + 96\/7. Suppose 0 = -c*g + 1745 + 2021. What are the prime factors of g?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(23\/1196*91).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.567 rounded to zero decimal places?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 6*n - 2. Let c be y(-2). Suppose -v = -c + 1. Suppose -l - v*m = -2*l + 17, 12 = -3*m. Let z(k) = k**2 + k - 4. What is z(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42222829, -42222824, -42222819?\n\"Answer: 5*u - 42222834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*b**2 - 7*b**2 + 20*b**2)*(40*b**2 - 546 + 546).\nAnswer: 1440*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134468 divided by 2.\nAnswer: -67234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.82 - -21. Let b = -0.08 + d. Which is smaller: b or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 463\/396 - (8 + 152\/(-18)) and (430\/(-150))\/(8\/10).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.39 - 0.21. Let o = t - -2.7. Put o, -11, -4, -5 in decreasing order.\nAnswer: o, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g + 3*g + 0*g + 2*g + g + g - 3 + 2*g + 3 + (0*g + g + 0*g)*(4 + 2 - 5) to v + l*g and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 52838, 52837, 52836, 52835?\n\"Answer: -p + 52839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1180 = 12*n - 1192 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2678591\/47 or -56990?\nAnswer: -56990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17478731 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 92*r + 3554. Calculate f(-39).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 741, 0.9, -4, -2, 2, -5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*s**2 + 40*s**2 + 42*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240648 and 13716936?\nAnswer: 13716936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 4*s - 3. Let m be b(3). Let j = 56 + -29. What is the highest common factor of m and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18388, 18314, 18240, 18166, 18092, 18018?\nAnswer: 17944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/33410 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from ddbeuezuddhz.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/4 + 7935*j**2 - 22040256*j + 5494422528.\nAnswer: -3*(j - 5152)**2*(j - 276)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -129.7624 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3))**(34\/3))**15*((v**(-2\/5)*v*v)\/((v*v**(-2))\/v))\/(v**(-2\/3))**(-15) assuming v is positive.\nAnswer: v**(754\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7993*d**3 - 44483*d**2.\nAnswer: -47958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-8))\/(4\/80). Suppose 0 = -3*i - c + 674, -o*c + 15 - 35 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-2 + 1)) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1459, -2050, -2655, -3280, -3931, -4614?\nAnswer: -5335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*l + 8*l**2 + l + 7*l**2 - 8*l in the form q*l + t*l**2 + s and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 719285178.\nAnswer: 719285173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**3*o - 7*n**3 + 9*n**2 - 176*o wrt o.\nAnswer: 2*n**3 - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 141228413 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2311 - 3?\nAnswer: 2302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 30*a**2 + 199*a - 190. Let u be t(-19). Let n(i) = 7*i + 63. Give n(u).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177795, -177834, -177909, -178020?\nAnswer: -178167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(3) + 2 + -5)**2.\nAnswer: 4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i = -4*a - 14*i - 23, -3*a + 4 = 2*i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 366 and -207977.\nAnswer: -76119582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - (2 - 21)) + -4 - (465 + -462).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -82*((-3)\/4)\/(-1). Let n = 98 - 38. Let g = f + n. What is the closest to g in -1\/2, -2, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -160*a - 166. What is f(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 - 505*b + 505*b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/3154 and 11\/415?\nAnswer: 15770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 24 = 3*k, -5*g + 2*k + 81 = 0. Find the first derivative of -g + 14582*d - 5 - 14540*d wrt d.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -37, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14231192 and -22544?\nAnswer: 14253736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105523*r**3 - 31*r**2 + 42475647*r wrt r.\nAnswer: -633138*r - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 - 9*x + 13. Let a(q) = -3*q**2 - 18*q + 27. Let j(h) = 3*a(h) - 5*f(h). Let z be j(8). Solve -z*c = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5 - 11. Let p(k) = 8*k**2 - 18*k - 43. Let t be p(4). Solve 4*x - l = t, 3*x + g = 2*x - 2*l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3516218*b**4 + 4138482*b.\nAnswer: -42194616*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 1119 = -4*n, -5*i - 666 = -3*n + 457. Let q = -140 - i. 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 closest to 0.2 in -603, 23, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m - 20 = 2*o, -5*m - 3*o = -35. What is the highest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.42878 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5f8 + -14a?\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -64 (b) -2\/11 (c) -2 (d) 0.07 (e) 6\/11 (f) 0.2 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -41935b (base 13) to base 10\nAnswer: -1534089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -74*g**2 - 14*g + 24. Let m be y(6). Let l = 11647 + m. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2155444 to three dps.\nAnswer: 0.216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 47*h + 100*h - 53*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -43446210 rounded to the nearest 10000?\nAnswer: -43450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f + 45 = 0. Suppose 13*i = 4*i - f. Let j be -2 + (4 - i) + 0\/(-3). Solve 12 = -j*w - 0*w, -w = 5*t + 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 s when four letters picked without replacement from sdssm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -789*d. Let x(v) = -571*v - 3. What is p(x(b))?\nAnswer: 450519*b + 2367","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*z + 2*z + 44. Solve -11 = z*l + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 1.8 (c) -106\/11 (d) -1\/3 (e) 6 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 38*g**2 + 349*g + 50. Let m be z(16). Let a = 1.3 - 1. What is the second smallest value in a, m, -0.32?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5) + -1 + 3 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/14, -0.3, 0.3, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y**2. Suppose 3*q = -3*a + 6*a - 6, -18 = -5*q - 2*a. Let h(u) = -u**q + 5*u - 6*u + u. Calculate h(r(n)).\nAnswer: -49*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/3*m**3 + 16*m**2 + 215\/3*m = 0. Calculate m.\nAnswer: -43, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 477986117 to the nearest integer?\nAnswer: 21863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 9*j + 3. Let q be p(0). Solve 16 = 11*k - q*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 11*z**4 - 13528*z**3 + 704389*z**2 + 4859068*z + 860100 = 0?\nAnswer: -6, -2\/11, 61, 1175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237655228 to the power of 1\/2, to the nearest integer?\nAnswer: 35180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78.5 + 79. Put -405, 3, f in descending order.\nAnswer: 3, f, -405","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Let c be -1*(f + -1 + -2). Find the second derivative of 0 + c*t + 5 + 5*t**2 - 5 wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-61)\/3 - (-8)\/(-12). Let p = -7 - y. Calculate the lowest common multiple of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11861 (base 11) to base 9.\nAnswer: -25286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100165192 less than -110?\nAnswer: -100165302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-50)\/115)*-14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47280319*c*r**2 + 2168043*c*r + 3*c wrt r?\nAnswer: 94560638*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 865 = -7349. Let m = r + -2902. Suppose 232 = 3*p - m. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 752*s**3 + 17*s**2 + 8*s + 1568. Find the second derivative of v(c) wrt c.\nAnswer: 4512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(10))\/(-4*sqrt(32)) - ((2*(sqrt(245) - sqrt(245)*-1))**2 + 4 + -1*sqrt(245)).\nAnswer: -3924 + 107*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83620 and 22116?\nAnswer: 462334980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125 (base 11) to base 5.\nAnswer: -1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9250992 is divided by 5148?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 594281 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one halves of a century?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 6. Let s = -0.1 - -0.2. Let g = 0.3 - s. Which is the third smallest value? (a) f (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3, -5*c + 141 = -5*v + 146 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**9*i)**50*((i*(i*i**1)\/i)\/i)**(-14) assuming i is positive.\nAnswer: i**536","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 59*o - 568. Let t be g(-15). What is the second biggest value in -0.8, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 4 = -4*b - 5*r, 0 = 4*b - 2*r - 2. Let t be b*(56\/42)\/(2\/3). Suppose v + g = 93, 0 = -v - t*g + 78 + 16. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -16*6\/(-60))\/(2\/1). Factor 1\/5*l**4 + r*l**2 + 2\/5*l**3 + 0*l + 0.\nAnswer: l**2*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 70924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7906317, 15812642, 23718967?\n\"Answer: 7906325*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14791799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2. Let s(t) = -t**2 - 6*t - 5. Let m be s(-5). Let h(f) be the first derivative of 3 + m*f - 1\/2*f**2. Give d(h(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 529 - 526. Which is the closest to 2\/7? (a) 156 (b) -1\/6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/m)**(31\/4)*m**(-1\/8)*m**(6\/5)\/m assuming m is positive.\nAnswer: m**(623\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2010?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**4\/r)**(-17\/5))**47)**(8\/7) assuming r is positive.\nAnswer: r**(-25568\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 993 - -3386. Let t = -3095 + g. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/5 + 2\/5*d**2 + 2\/5*d = 0. What is d?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 1:51 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325 - 2605 = -2*d. What is d rounded to the nearest 10?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 958320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 28108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h - 3. Let i(l) = 587183*l**2. Calculate s(i(w)).\nAnswer: 1761549*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 46407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16036115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 113518, 113519, 113520, 113521, 113522?\n\"Answer: j + 113517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 52*h + 2814. Suppose -3*a + 69 = -135. Calculate the remainder when a is divided by w(-33).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2 - 3*v**3 + 4*v**3 - 52*v + 50*v. Calculate the smallest common multiple of y(2) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8460349?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 207638 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40797 + -40811. Sort b, 9, -27 in decreasing order.\nAnswer: 9, b, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390036266?\nAnswer: 2, 563, 346391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/10486 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2754594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(77) - sqrt(77))*6 - ((sqrt(77) - -4*sqrt(77)) + sqrt(77))*-5)\/(-3*sqrt(28) + sqrt(35)\/(sqrt(20) - sqrt(5))).\nAnswer: -54*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -2*c**6\/15 - c**2\/2 - 4*c. Differentiate m(x) wrt x.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-2))\/(4*((-266)\/(-112))\/19)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4233 + 4227. Let i(l) = 19*l + 115. What is i(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/24)\/((85\/20)\/(-17)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103.6 + 104. Put k, -1\/6, -0.2, -1 in descending order.\nAnswer: k, -1\/6, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 + -77. Suppose t*w - 11089 = -11*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13466.03 millennia to years.\nAnswer: 13466030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 2*q - 10. Let z be h(-3). Solve -z*s + 22 = -3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k - 10. Let a be f(-5). Let l = 13 - a. Let z be (1\/3 - 0)*l. Let i(h) = -4*h**2 + h. Determine i(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01 and 0.9110417.\nAnswer: 0.9010417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.5084743 and 509.\nAnswer: 517.5084743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*h - 3 = 0, 4*b + 14 = 2*h + 20. Let k(y) be the second derivative of -1\/40*y**5 - 1\/24*y**4 - 3\/4*y**b + 5\/12*y**3 + 0 + y. Factor k(s).\nAnswer: -(s - 1)**2*(s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {s: 3, n: 12}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 - 3*g - 4. Let x(j) = j**2 + j + 1. Let y(v) = 2*m(v) + 6*x(v). Let c(a) = 6*a**2 + 7. Calculate -4*c(o) - 14*y(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01523282 rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12873 (base 10) to base 7.\nAnswer: 52350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 7*a + 10*a + 0 - 1.\nAnswer: 17*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 556*v + 3891. Give r(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-40))\/((-2)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -20*c + 14*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 6:45 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4050814 and 32840.\nAnswer: 81016280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**4\/5 - 128*z**3\/5 - 1914*z**2\/5 + 4356*z\/5 = 0?\nAnswer: -33, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -37159*c - 37145*c + 74314*c. Let h(d) = -7*d**2 + 2*d**2 - 2*d**2. Calculate l(h(r)).\nAnswer: -70*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -44*k**3 + 13*k**2. Let w(f) = 7*f**3 + 4*f**3 - 86*f**2 + 41*f**2 + 42*f**2. Determine -26*w(s) - 6*x(s).\nAnswer: -22*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -31a (base 12) to base 14\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -436529, -436531, -436533, -436535, -436537?\nAnswer: -436539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 61\/2. Let u = 2.87 + 0.13. Let n = u - 6. What is the nearest to y in n, -0.5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-25 + 1 + 1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2277 divide 276670905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 89, 80, 61, 26, -31, -116, -235?\n\"Answer: -w**3 + w**2 - 5*w + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -12. Solve j - 8 = -3*l, 4*j + m*l - 13 = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 181 = 4*l, z + 141 = 3*l + 3*z. Suppose 0 = 5*o - 16 - l. Suppose -3*s + y = -o - 0, s - 5*y + 5 = 0. Let j(g) = -g + 12. Calculate j(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1007266 and 424112?\nAnswer: 8058128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 764749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 291148 + -207335. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-62)\/14 + (-20)\/35. Let d be 6\/(-20)*10\/12. What is the closest to 1 in v, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/4 - -2 - -2. Let j be (-6 - 18)*s\/(-6). Find the second derivative of -j*y + 11 - 11 + 16*y**2 wrt y.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/2)\/((-6)\/480*1). Suppose -2 - 6 = -r. Calculate the highest common divisor of n and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsts when four letters picked without replacement from {t: 3, i: 4, s: 6, h: 1}?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88.9 * 49.\nAnswer: -4356.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 240*z + 1. Let l(f) = -242*f - 1. What is 5*l(q) + 6*n(q)?\nAnswer: 230*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3788*a**2 - 2 + 5 - 3 + 4162*a**2 as u*a + z*a**2 + g and give z.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -108 - -126. Let l be u\/4 + -4 + (-95)\/2. Which is smaller: l or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1811 + 1808. Let i = 68 + 12. Are l and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -22 + 0*a + 5*a**3 - 5\/2*a**2. Find the second derivative of q(t) wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 95 + 5. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -3. Let i be 6\/(-27) - (-10)\/45. Suppose 5*r + 20 = i, -r = -2*z - 0*z + 76. Calculate the greatest common factor of t and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmaammpuaupeeeae. What is prob of sequence paa?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*s - 5*y + 22, y - 4 = 0. Suppose 5*h = 2*i - 178 - 136, 3*h - 785 = -s*i. What are the prime factors of i?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/48 - (-1)\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + q. Let b be s(0). Let k be 5\/10*(-10)\/1. Let n be (-105)\/75 + (-2)\/k. Is b smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06862+0.3\nAnswer: 0.36862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 153*1*1\/(-2). Let d = 411 + -1909\/4. Let v = i - d. Find the common denominator of v and -103\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 218 - 215. Let j be 4\/2 + (-6)\/5. What is the third biggest value in o, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.464 - -2.994. What is o rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouuoououoouuuuuoouuo. Give prob of sequence ou.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4515049 and 8596?\nAnswer: 2149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.31 + -0.307946. What is z rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 8*f**2 + 2*f - 20. Let v be d(-7). Suppose -2 = -p, 4*p = -5*c + 3*c + 68. Suppose c = 3*i + 2*i. Solve i*g + v = 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 981802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.104189 rounded to three decimal places?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 60 = 15. Let n = 0 + 3. Suppose 3*w - n = 0, -3*w = -z*q + q + 181. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-13) + 386\/(-26). Let u = -12 - i. Suppose 2*m + 6*j + 11 = 5*j, u*m - 5*j = -10. Which is greater: -6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -216 - 66*q**2 - 2*q**4 - 55*q**2 + 38*q**2 + 288*q + 28*q**3 - 65*q**2 + 10*q**2 = 0.\nAnswer: 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14636 - 9692. What are the prime factors of q?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -798 divided by -114?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35251 = 928*g + 99729 + 65442 for g.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286368\/16328 + (-34)\/2.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 933 + -514. Let l = i - 411. What is the remainder when 19 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 11*n - 4. What is x(-3)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(14)\/(sqrt(2)*1) - 6*sqrt(84)\/(sqrt(12)*1 + sqrt(12)).\nAnswer: -2*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/3))**15\/((s\/(s*(s*s*s\/(s\/(s\/(s*s**(-2\/23)))))\/s*s))\/s**(-7)) assuming s is positive.\nAnswer: s**(2\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/13668 and 113\/42.\nAnswer: 95676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from moisnsssiimosimnsmis. Give prob of sequence sio.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c - 1498 + 22*c + 754 + 39*c**2 - 7*c + 745.\nAnswer: 39*c**2 + 28*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3847778, 7695960, 11544152, 15392360, 19240590, 23088848, 26937140, 30785472?\nAnswer: 34633850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 3\/7, 43\/2, -3, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**4 + 12404*t**3 - 38427573*t**2 - 230912870*t - 308016200 = 0.\nAnswer: -4, -2, 6205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002017287058 rounded to 7 decimal places?\nAnswer: -0.0000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6178619, 6178622, 6178627, 6178634, 6178643?\nAnswer: 6178654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2 = 2*f - 25, -2*f = d - 7. Let o = f - -2. Calculate the smallest common multiple of 2 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/36 and -65\/1198326.\nAnswer: 7189956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - g**2 - g + 1. Let v(h) = 7*h**3 - h**2 + 6*h - 5. Let f(n) = 6*u(n) + v(n). Determine f(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77169698?\nAnswer: 2, 17, 167, 13591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*a - 0*o - 12, -11*a - 16*o = -9*a + 100 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 3487.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104270*o**3 + 5*o**2*r**3 + 491*o - 714*r**3 + r wrt o?\nAnswer: -625620*o + 10*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*l, 4*l - 9 = 5*p + 5*l. Suppose n = 3*n - 8. Let a(m) = 3 + n - m**2 - 6. Let u(x) = -x**3 + 3*x**2 - 3. Calculate p*u(r) - 3*a(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -43, -10, 5, 4 in descending order.\nAnswer: 5, 4, 0, -10, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + 53?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11530396 or -11530397?\nAnswer: -11530397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, s: 4, i: 7, d: 2, v: 2}. What is prob of sequence gsii?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10 - 3 - 127*h + 143*h. Suppose -5*l - 15 = 0, -5*l = 5*f + 1 - 11. Is j(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + (3 - (-2337)\/3). Find the third derivative of -26 + 1553*m + 325*m**4 - 777*m - 3*m**2 - v*m wrt m.\nAnswer: 7800*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from {i: 10, y: 5, v: 2, g: 1, a: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/42 + (-33)\/(-7). Suppose 2*r + 10 = 3*d, 11*d + h*r = 6*d. Factor -10*o - 2*o**2 + 10*o + d.\nAnswer: -2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gby when three letters picked without replacement from yxbxgpb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 28138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14717, 29560, 44491, 59516, 74641, 89872?\n\"Answer: j**3 + 38*j**2 + 14722*j - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -370 - 10631989689?\nAnswer: -10631990059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47469 - ((-3)\/8 + (-1102)\/304) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-3)\/(9\/(-12)). Let h = 199 - 182. Let k(o) = -h*o + 34*o - p*o + 24*o. Let z(y) = y**2. Determine z(k(m)).\nAnswer: 1369*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 1277*o + 258. Is k(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 266\/11. Let x = 16879\/66 + -1535\/6. Put -1, 2\/3, x, v in descending order.\nAnswer: 2\/3, x, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 103, 293, 561, 949, 1499, 2253, 3253, 4541?\n\"Answer: 7*h**3 - 3*h**2 + 150*h - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*r + 20428, -5*r = 2*l + 7529 + 6128. What is l rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -915420 divided by -27740?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(972) - (sqrt(972) + -1*sqrt(972) + sqrt(972) + 0)) + -2 + -2*sqrt(108))*-4)**2.\nAnswer: 2688*sqrt(3) + 7696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*r + 23 = 3*l + 44*r, 43 = -4*l + 3*r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from lklulllkll.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -320*l**3 + 7*l - 353 + 1039 - 354 - 347 wrt l.\nAnswer: -1920*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**8\/48 + g**4\/12 + 4*g**2 + 3. Let c(j) be the second derivative of r(j). Find the second derivative of c(f) wrt f.\nAnswer: 140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14655233 + -2?\nAnswer: 14655231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 * -942.\nAnswer: -197.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14763015 and 1000.\nAnswer: 2952603000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, x: 6, z: 1}. What is prob of picking 1 z and 3 p?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6597444 and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 5. Suppose b + l*b + 6 = 0, -x - b - 3 = 0. Is (x + (-6)\/(-4))*42 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 6*a - 3. Let c be k(-5). Let z(g) = -g**2 + 2*g - 3. Calculate z(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.7 + 31. Let i = 1.3 - t. What is the second smallest value in 4, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/7 + 8\/28. What is the third derivative of 4*o**5 - 4*o**5 + 4*o**2 + h*o**5 - 2*o**2 wrt o?\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**3 - 10*t**2 - 13*t - 3. Let f = -105 + 108. Let l(w) = -3*w**2 - 16 + 0*w + 2*w**3 - 4*w - 3*w**f + 15. Let d(u) = 8*l(u) - 3*y(u). Give d(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v - 29. Let l be n(4). Solve 0*k + f + l = 3*k, -f = 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -4.1\nAnswer: -2.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 28*y + 5. Let s(o) = 28*o + 6. Let w(v) = -3*m(v) + 2*s(v). List the prime factors of w(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*t**2 - 30*t**2 - 39*t + 66*t**2 - 28*t to the form d*t + n*t**2 + l and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -31?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -774358, -1548716, -2323074?\n\"Answer: -774358*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 549 greater than -40237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(315)\/sqrt(5) - sqrt(7)) + 1 + sqrt(21)\/sqrt(3) + -2.\nAnswer: -1 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 365947997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*u - 238702 = -16*u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -922*b**3*j**4 - 2*b**3*j - 111*b**3 + b**2*j**2 wrt j?\nAnswer: -22128*b**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -7 - (-23 + 8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 + 57 + 4*c + (-2 + 4 - 1)*(-c + 2 - 2) + (2 - 3 + 2)*(4*c + 4*c - 6*c) as t*c + s and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5344\/(-240) + 22)\/((-28)\/(-190)) and 17\/243?\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 912*c. Let k(t) = -21*t. What is g(k(p))?\nAnswer: -19152*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20757\/(-185)*(1 - 16)?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttmm when four letters picked without replacement from {j: 2, r: 2, g: 4, m: 1, t: 1, v: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y + 10. What is f(-9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/7 + 66*x\/7 - 64\/7 = 0.\nAnswer: 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a second in milliseconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 223 - 1351\/6. What is the common denominator of (159\/(-60) - 0) + 0 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126893 and 1677.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(10\/8)*-1 - 0. Let c be (y - 42\/18) + -2. What is the biggest value in -1, -1\/87, c?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/3 (b) 25\/154 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.984 + 0.016. Let j = 5 - 5.1. Which is smaller: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*b**2 - 5416 + 5416 + 94*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 713520 and 535140?\nAnswer: 2140560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1293803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 1. Let w be ((-3)\/2)\/3*12. Let v(k) = -k**2 + 6*k + 6. Let b = -12 + 14. Suppose -b = l - 1. Calculate l*v(f) + w*x(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnl when three letters picked without replacement from {n: 2, b: 1, r: 13, l: 3}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110110100222020 + 0?\nAnswer: -1110110100222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 36 = 3*l. Solve -2*k = -4*k - l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5\/3 - 2*s**3 + 8*s**2\/3 - s = 0. What is s?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 54. Calculate the remainder when m is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**4\/24 + 5*h**3\/3 - 3*h**2\/2 - 6. Let j(b) be the second derivative of w(b). What is the units digit of j(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2074 is divided by 48.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2813 - (-7 - -4)) + (4 - 1). Suppose 5*u = -3*l + 4809, -2*l + 3211 = 3*u + 2*u. Suppose l = 7*c - k. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*k - 1826 = -383*k - 386. Solve 3*n - 4*g = -k, -8*g = -4*n - 5*g - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aoa when three letters picked without replacement from ooiaiiaiiaiaii?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*m + 1300 = -15*m + 5*m. What is the remainder when 31 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6) + (1308\/(-42))\/(28 - 4680\/(-315)).\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1850*j**2 + 29*j - 169 wrt j?\nAnswer: -3700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 2\/219, 1\/8, 1\/2811?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160221?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 19 = 2*q, -4*q = 5*i - 14 - 29. Let j = 853 - 836. Suppose -t + q = -j. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 + 346*w**2 - 353*w - 838. Determine n(-174).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11022201000012 - 2?\nAnswer: 11022201000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Suppose l - 2*i - 5 = -3*i, -i = x*l - 5. Suppose -4 = -l*s - s, 5*o = -s + 14. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 594299*x**3 - 8*x**2 - 3*x + 11. Is j(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 427605?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16 - (-1 - -2)*0. Let x = 21 - i. Differentiate 2 + 7*b**4 - x - 4*b**4 wrt b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 - 1 = -3*c, 11 = -l + 2*c. Let x be ((-107)\/l - 1) + 10\/(-35). Find the second derivative of 3*a**5 - x*a**5 + 8*a - 3*a wrt a.\nAnswer: -220*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2282*m**2 - m**3 - 2281*m**2 - 2284*m**2 + 6847*m**2.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/30 and 149\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.33*0.73.\nAnswer: 1.7009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y - 174 = -2*w, -68*w + 5*y + 39 = -69*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w*w*w**(-9\/5))*w)*w)\/(((w*w**(1\/6)*w)\/w)\/w))**(-17) assuming w is positive.\nAnswer: w**(-527\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16433, -32869, -49305, -65741, -82177, -98613?\nAnswer: -115049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -3, 591.21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 9:12 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5 + 7*g**4 - 4*g**3 - 12*g**2 = 0. Calculate g.\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3\/11 + 204*q**2\/11 + 1278*q\/11 + 1944\/11 = 0. What is q?\nAnswer: -3, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -222001130 (base 4) in base 9?\nAnswer: -282088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -320365.9 times 1.1\nAnswer: -352402.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**7)**28*(p*p**8\/p*p*p*p)**39)**12 assuming p is positive.\nAnswer: p**7500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**4\/5 + 79287*m**3\/5 + 523908672*m**2\/5 + 523829388*m\/5 = 0. Calculate m.\nAnswer: -13214, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 8. Suppose 0 = 4*y - 20, y = p + i + 2. Suppose p*m - 29 = 27. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-12)\/9 + 1). Factor 15*f**2 - 7*f**v - 5*f + 2*f**3 - 25*f**2.\nAnswer: -5*f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-12))\/1)\/(1\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -224 and 0.174?\nAnswer: -38.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1023182*q**4 - 278045*q**2 wrt q?\nAnswer: 24556368*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 1\/6, 1\/8, -1, 0.25625?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39.921 + -0.079. Let f = s - -40.4. Let m = -2 + 1.6. Which is the closest to -1? (a) -5 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11\/((-220)\/24))\/(6\/15). Let v = -29 - -21. Let k be 25 + v - a*1. What is the greatest common factor of 30 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -3) + (-9 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67364 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f. Let w(h) = 14*h**2 - 81 + 81. Determine w(s(d)).\nAnswer: 126*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46, -55, -62, -67, -70?\n\"Answer: h**2 - 12*h - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1376 (base 8) to base 7.\nAnswer: -2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2945, 5891, 8837, 11783, 14729, 17675?\n\"Answer: 2946*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/10*370\/(-16). Let o be (-19)\/((-4845)\/(-34))*(-10)\/(-6). Which is the third smallest value? (a) i (b) -2\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 - 1755204*z**2 + 107.\nAnswer: -1755204*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*m + 90, -5*m = -v + 2*v + 107. Let w be 1\/3 - 119\/m. Find the third derivative of -2*t**2 - 4*t**3 + 3*t**3 - 3*t**w + t**3 wrt t.\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/87057600 and 69\/1120.\nAnswer: 87057600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2506*g. Let j(h) = 21*h - 908. Determine j(n(b)).\nAnswer: -52626*b - 908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 479 + -1438\/3. Which is the nearest to -0.1? (a) q (b) -2 (c) -3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-236180)\/(-28679)*(-34)\/4?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*x - 28 = 0, -4*o - 50*x + 46*x + 28 = 0. Find c, given that -4\/5*c**2 - 8\/5*c**3 + 4\/5*c**4 + o + 8\/5*c = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 52 = -4*i, 5*i - 51 = 3*q - 10. Suppose 5*b + 5*p - 11 = p, -i = -4*b - 2*p. Solve -2 = -b*z + 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1235617, -4942465, -11120545, -19769857, -30890401, -44482177?\nAnswer: -60545185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40612 (base 7) in base 2?\nAnswer: -10011010110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 0.1967.\nAnswer: -1.8033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4639*k - 868*k**3 + 4639*k)*(-k - 3*k + 2*k + (-5 - 2 + 5)*(-k - 2*k + 4*k)) in the form w*k**4 + f*k + x*k**2 + y*k**3 + q and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*n - 3. What is the remainder when 15 is divided by n*5\/((-10)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479276336?\nAnswer: 2, 7, 11, 389023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 2*u + 5, -5*z - 2 = 4*u + 17 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 5, h: 6, o: 5, s: 2}. What is prob of picking 1 o and 1 h?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t**3 + 37*t**2 + 91*t + 428. Determine o(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16252 - 1?\nAnswer: 16251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**3 - 14*v**2 + 9*v - 64. Is b(6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*v - 2*v + 160037, 3*w = -4*v + 160033. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxst when four letters picked without replacement from kpspxxsspptxxps?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6049750*h**3 + 5040143.\nAnswer: 18149250*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -54. Let w = 3.1212 - -1.8788. What is the nearest to 2 in i, w, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(5*p**3 - 19*p**3 + 12*p**3 + (-4 - 4*p**2 + 4)*(3*p - 2*p + p)) to u*p + x*p**3 + q + l*p**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 1 + 1)*(-940 - 604 - 272 - 4787 + 638).\nAnswer: 17895*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4.3. Let x = 1.5 - 1.5. Let h = x - -3. Which is the second biggest value? (a) h (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**2 - 89663500*i - 89663505 = 0.\nAnswer: -1, 17932701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 19272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 361801 - 1802446\/5. Let r = m - 1307. Let s = -5 + r. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138531, 138543, 138563, 138591, 138627, 138671?\nAnswer: 138723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10578 and -127393.\nAnswer: -116815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**5*p)\/p*p*p**(3\/4)\/p)\/(p*p*p\/(p**(1\/3)*p))**(1\/21))**12 assuming p is positive.\nAnswer: p**(1429\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40597035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -26, -41, -60, -83, -110?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -47812\/9 (b) 0.1 (c) 1 (d) -3\/2 (e) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 239*m**3 + 134.\nAnswer: 717*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 123 and 10.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 1488*h**2 + 2988*h + 1496.\nAnswer: -4*(h - 374)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022 + -1222?\nAnswer: -11021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -12\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*b + 54 = 3*o, 115 = 5*o + 5*b. Let z = -9576 + 9636. Calculate the greatest common factor of z and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 3 - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**5\/20 - v**4\/6 + v**2 + v. Let n be w(2). Suppose -2*z = 5*b - 4*z - 141, 4*z + 66 = n*b. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -3*j**4\/4 + j**3 + 15*j**2\/2 + 9*j - 841. Factor z(m).\nAnswer: -3*(m - 3)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232956 and 91044.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 282959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22359083 and 0.4.\nAnswer: -8943633.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57878, -57614, -57350?\nAnswer: -57086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 m when three letters picked without replacement from {b: 1, e: 1, q: 1, x: 2, l: 1, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48686*c**5 + 4540*c**2 + 7*c.\nAnswer: -2921160*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + -49 + (69 - -12 - (-2 - -7 - 2))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - p)*(173*p**2 + 126*p**2 - 337*p**2) + 4*p**2 + p**3 - 4*p**2 to j*p**2 + l*p**3 + s*p + g and give l.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, -148, 9 in descending order.\nAnswer: 87, 9, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1085, 1903, 3089, 4643?\nAnswer: 6565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68619?\nAnswer: 3, 89, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 71*t**2 + 504*t + 88. Let m be s(-63). Solve -m*b + 55*b + 66 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(sqrt(17)*2 + sqrt(17) + -2 + -1) - ((1*sqrt(2057) - (sqrt(17) + -2*sqrt(425))) + (2*sqrt(17) + 5 - sqrt(17)) + -1 + sqrt(17) + -2)**2.\nAnswer: -8217 - 106*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27414426 and 3.\nAnswer: 27414426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -52, 166495 in decreasing order.\nAnswer: 166495, -0.8, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -386 divided by 1.\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**7\/280 - g**5\/40 + 7*g**3\/3 + 1. Let n(v) be the third derivative of w(v). Determine z so that n(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**2\/5 - 677*w\/5 + 112776\/5 = 0.\nAnswer: 296, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 168\/13 (c) 20\/9 (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*c + 79330 = -50*c + w, 47580 = 3*c - 3*w. What are the prime factors of c?\nAnswer: 5, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 184.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 153754 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aau when three letters picked without replacement from uuuauauuuuuauu?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 12 = z. Let h be (z - 0)\/(4\/(-1)). Suppose 1 - 1\/2*x**3 + h*x + 0*x**2 = 0. What is x?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 6*v**2 + 113*v + 19. Let d be j(14). Let w(z) = -z**3 + 32*z**2 + 47*z + 74. Does 49 divide w(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 550, 548, 546, 544, 542?\n\"Answer: -2*m + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 13467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 28. Let q be v(4). Let p(c) = c**2 - 21*c - 63. Let b be p(q). Solve -5*f = -29 + b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -468*u + 1877 + 2335 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 811, 5816, 19183, 45094, 87731?\nAnswer: 151276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*q - 5*q + 10*q)*(4*q - q - 2*q).\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 20852.60492 to the nearest one hundred.\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*x**2 + 22*h**3 + 2*h**2 + 2*h*x**2 - 10*h + 7*x wrt h?\nAnswer: 12*h*x**2 + 132*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2280 divide 8088128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 5. Suppose 138*y - 152*y + 350 = 0. Calculate the remainder when y is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, e: 2, r: 6, b: 3, x: 5}. What is prob of picking 1 r and 1 q?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 12*f + 4. Let d be z(-6). Let b = -9 + 19. What is the highest common factor of d and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 189543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 376, 741, 1366, 2317, 3660, 5461, 7786?\nAnswer: 10701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00178254511 rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 2, -0.4, -2.8, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.18 + -8.18. Let k = n - -13. Let v = -102 - -106. Put k, -0.1, v in ascending order.\nAnswer: -0.1, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 + 0*d**3 + 0*d**3 + (1 - 1 + 2*d**2)*(-7*d**3 + 2*d**3 + 3*d**3) - 38 + 15*d**5 + 38.\nAnswer: 9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*b + 114, -4*x - 2*b - b = -461. Let z = x - 80. Suppose 0 = -39*r + z*r + 1329. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a day?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 7.862. Let q = -5.462 - -5.3. Let x = y - q. What is the closest to -0.1 in -0.2, x, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30476 + 5?\nAnswer: -30471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*r = 271*r + 84*r - 33*r - 112*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 457*h**2 + 182*h - 53. Let m be l(19). What is m rounded to the nearest 1000?\nAnswer: 168000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 14. Let l be y(-10). Suppose -3*u + 1 = -14. What is the first derivative of 4*v + u - 2*v - l wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.28 + 0.22. Let t = m - 8. Round t to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiwiwwiwii. Give prob of picking 4 w.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4519589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3989.2 minus -0.0431?\nAnswer: -3989.1569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(6\/16*4). Suppose -z*t = -3202 + 42. What are the prime factors of t?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117965 + 84478 = 3054*b + 68232 - 76515 for b.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3667097ml?\nAnswer: 0.0003667097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.55 and 95.82.\nAnswer: 52.701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -11*x**2. Let u(k) = -k + 4*k - 5*k. Give u(q(o)).\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -13. Suppose -5*j = -20, -h*j - 8 = -5*o + 9. Sort o, 0, -2 in decreasing order.\nAnswer: o, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-10)*6 - 2. Let d = a + 26. What is the highest common divisor of d and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17144.22 rounded to the nearest 10?\nAnswer: 17140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 + 4*n - 1. What is the tens digit of j(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*u - 6 = -232*u. Solve 0 = -u*l + 11*l - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/23 (b) 0.169 (c) 0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 + 14880*k**2 - 7446*k**2 - 6*k**3 - 7434*k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -15. Let q = -27 + 22. Sort 0.5, p, q in increasing order.\nAnswer: q, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {v: 7, g: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 5.7. Let r = -0.1 - v. Let n = r - 0.2. Which is bigger: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 10 = 3*u, 7*u - 40 = 10*u + 5*l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3558.\nAnswer: 2, 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.18, -0.05, 0.4, 0.2 in ascending order.\nAnswer: -5, -0.05, 0.18, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -43003*h - 258844. Determine x(-6).\nAnswer: -826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 89*s + 746. Does 3 divide k(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -8\/3*h**2 - 2\/3*h**3 - 10\/3*h - 4\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 0 - 1\/105*y**6 - 4\/7*y**3 - 4\/7*y**2 - 13\/42*y**4 - 2*y - 3\/35*y**5. Let w(v) = 0. What is v?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f**2 + 556*f - 92. Give c(-55).\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 + 140 = -7*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 12 - 4 = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + r + 1054. Let a = 318 - 11. Calculate the remainder when a is divided by n(-31).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 182*w - 89*w - 87*w. Put 2, -2, 20, w, -3 in descending order.\nAnswer: 20, 2, w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1100323310101320 - 10?\nAnswer: 1100323310101310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 15 - 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -3 + j**2 - 4*j + 1\/3*j**3. What is b(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-935)\/(-1020)*4\/(-22).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l - 3498 = -20*l. Let i = -7392 - l. What is i rounded to the nearest 100?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqmqssqpsmqsqqp. What is prob of picking 1 s, 1 p, and 1 l?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oiooiioiii. What is prob of picking 3 o?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3410.\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20, -19, -6, 25, 80, 165?\n\"Answer: t**3 - 6*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 5:12 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = y + 4*o - 2, 3*o + 6 = -2*y. Suppose -6*w + w + 315 = y. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66208198 and 1862.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1188390639 to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/18)\/(6320\/(-360) - -24).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qattaaqaataa. Give prob of sequence qq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 27 - ((-1 - -10) + -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**3 + 115*j**2 - 380*j = 0.\nAnswer: 0, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 1:42 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4812*o**3 + 28*o**2 - 226276*o + 1?\nAnswer: -28872*o + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7144 by -4.\nAnswer: 1786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -137*l**3 - 3*l**4 + 2098*l - 2098*l + (l**3 - 3*l**2 + 3*l**2)*(l - 1 + 1).\nAnswer: -2*l**4 - 137*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/4*1\/6*15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59283?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 9:04 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + -25 - (-1 + -4 - -12 - 9).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(490))\/(sqrt(22)\/(sqrt(33)\/sqrt(3))))**2 + (0 + 0 + sqrt(720) + -4 + sqrt(720))**2.\nAnswer: -192*sqrt(5) + 3876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13981*0.3\nAnswer: -4194.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(72) + 2 + sqrt(128)))**2.\nAnswer: 504*sqrt(2) + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/129816 and -83\/28848?\nAnswer: 259632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106\/65 - -16\/13. Let s = -0.07 + 3.07. What is the second smallest value in w, s, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 - -2. Let c = -6.4 + 6. Let g = -10\/161 - -8\/23. What is the nearest to 0.1 in t, c, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -401814 + 401629.119. Let a = 57 + 128. Let l = k + a. Round l to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/2)\/((-7)\/((-420)\/(-30))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3075*p**2 + 1531*p**2 + 1542*p**2 - 277 - 6*p**3 as k*p**3 + q*p + u + f*p**2 and give u.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 + 495372 - 495372 - c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3484 bigger than 3328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4885 = 60*m - 4945 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q)**(1\/32)\/(q**(-4\/5)\/q**(2\/9)) assuming q is positive.\nAnswer: q**(46\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 680 - 662. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = j - 37, -a - 3*j - 17 = -2*a. Solve -3*q = -q - a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606.783ug in grams?\nAnswer: 0.001606783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 + -81. Suppose 6*x - 7*x = -y. Calculate the remainder when 53 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114 (base 5) in base 9?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.9 + 1.9. Let f = t + 0.8. Are f and -0.7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -118957326279640.\nAnswer: -118957326279638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*h - 0*h. Let a(i) be the second derivative of -i**5\/20 - i**4\/3 - 2*i**3\/3 - 2*i**2 - i. Let l be a(h). Let r(s) = 3*s + 1. Give r(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 20*z**3\/3 - z + 394. Let m(j) = j. Give u(m(s)).\nAnswer: 20*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23005 and 7955?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + a + 6935 - 6962, 2*u - 12 = -a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5008645 is divided by 834773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t**2 - 38*t + 4. Let s(n) = 2*n**2 + n + 2. Calculate b(q) - 3*s(q).\nAnswer: -13*q**2 - 41*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -119*b**5\/60 + b**4\/12 - 17*b**3\/6 + 32*b**2. Let i(u) be the first derivative of w(u). Is 20 a factor of i(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4040 - -4040. Solve -l + 4*n = 14, -39*l + 35*l - 5*n + 7 = f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**2 - 4*o - 1398 + 1398 + 0*o**2. Let q(h) = -h**2 - h. Determine -c(b) + 4*q(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*r**3 + 1)*(-394*r + 28 - 28) - 2*r**4 - 3*r + 3*r + 7*r - 7*r + 2*r**4.\nAnswer: -788*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o. Let m(n) = 7*n + 5. What is s(m(y))?\nAnswer: 14*y + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Let f be (1\/h)\/((-1)\/(-10)). Suppose f*t - 75 = -0. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 21222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(-253 - 220 + 583)*(-17 + 17 - 6*h)*(-2 + 1 + 0 + (1 - 2 + 3)*(-4 + 2 + 0) - 3 + 3 - 1).\nAnswer: 3960*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z - 20 = -290. Let a(m) = 34*m. Let i be a(4). Let b = i - 48. Calculate the remainder when b is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3 - 0, 4*u - 27 = -5*r. Suppose u*q + 2 - 8 = 0. Suppose 4*o - 16 = q*o. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -877, -3402, -7617, -13522, -21117, -30402?\n\"Answer: -845*z**2 + 10*z - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 - 2 - (11 + -10 + 4) - (-4 - -3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 6*v - 12. Determine f(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276846237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 69827 and -0.3?\nAnswer: -20948.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 211001 (base 3) to base 2\nAnswer: 1001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 0.2 (c) -3 (d) -2\/7 (e) 3\/4 (f) 0.1 (g) 15835\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -5\/2*w**2 + 4*w**3 - 2*w + 0. Is d(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 + -46. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**3 + 5*a**3 - 1 - 230*a - 9.\nAnswer: -a**3 - 230*a - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12650 (base 10) in base 12?\nAnswer: -73a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 7*i + 3. Let j be u(-8). Which is the second biggest value? (a) -4 (b) j (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 11*h + 192. Let c be x(-21). Let m(f) = -f**2 - 38*f + 37. Let t be m(c). Which is smaller: -21\/11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + ((-864)\/(-1134))\/(285\/(-27) - -11).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2462580 and 28?\nAnswer: 17238060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -530*s**2. Suppose -200*a - 217 = -231*a. Let k(t) = 9*t + a*t + 14*t - 38*t + 7*t. Calculate k(i(y)).\nAnswer: 530*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -181, -152, -111, -58?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - m**2 - m - 1. Let r(x) = -10*x**3 - 5*x**2 - 5*x - 4. Determine -4*k(v) + r(v).\nAnswer: -6*v**3 - v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -173, -175, -167, -143, -97, -23?\n\"Answer: n**3 - n**2 - 6*n - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2408\/86*((-48)\/14)\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/3*(-15)\/300*8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from ieebieeebeee.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 23. Let n = 6 + a. Let z = 2657\/15 + -177. What is the nearest to n in -3, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*i**2 - 31*i - 8*i**2 - 28*i - 18*i**2 + 56*i + 4*i**3 in the form p*i**3 + a + b*i + l*i**2 and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -71, 4\/13, -19, -4 in increasing order.\nAnswer: -71, -19, -4, -2\/7, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -20*(-16)\/(-120)*15. Is m at least -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 573 + -560. Solve -31 = -6*v + v - 2*i, 5*v = 4*i + l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.833205 + 13.93337. Let i = -8.23349 - u. Let v = i - -31. Round v to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 25*o - 22. Let z be c(24). Suppose s - 216 = -z*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1156288302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*s = -6, -4*s = -0*k - 4*k. Suppose -2*v + 30 = 3*v. Calculate the remainder when v is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -261, 1, -4\/9, -0.6, 5\/33?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trfv when four letters picked without replacement from nfrnvvatvfvfnvvvrf.\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, o: 10, g: 3, c: 2, e: 3}. Give prob of sequence fg.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338 divided by 9093?\nAnswer: 446\/3031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/4 + 292 - 5.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*o, -4*o + 3 = -n - 2. What are the prime factors of (o - 51)\/((-2)\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 51. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.017 and 23910973919.3.\nAnswer: 23910973919.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-8))\/(254\/(-381)). Which is the fifth biggest value? (a) -2\/9 (b) 0.3 (c) p (d) 1.1 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmjjzzjjjmjzzj. Give prob of picking 2 j and 1 z.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(41*t + 17*t - 47 + 47).\nAnswer: 58*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) -282 (c) -1 (d) 2\/3 (e) 11.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9153 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 25. Suppose l + 6 = j. What is the derivative of -2*u + 3*u - j + u wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:59 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 3*a**2 - 2*a + 2. Let k be w(-4). Let m be (-14)\/k - 6\/(-9). Suppose -m = 2*n - 3*n. Solve 7*d = n*d - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527*t - 461*t - 2046 = 0 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**4\/12 - 2*v**3 - 2*v**2. Let a be x(-8). Suppose -q = -a*q + 57. Calculate the greatest common divisor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4580*h + 188268 = -237236 + 86584 for h.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 2:53 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*r + 371 = 850 + 1264. Let t(j) = 4*j + 1 + 3 - 5. Calculate the remainder when r is divided by t(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13509\/16 + 844. Let c = -7\/48 - r. Let j = -2 - -1. What is the second biggest value in -3\/8, c, j?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-4*-86*(-10)\/(-80).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*g - 82 + 102 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*855\/(-10830).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8453 by 114.\nAnswer: 8453\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s = 4*a - 90, 0 = -4*s - 8. Suppose 3*p = 15, 19*r = a*r - p - 3655. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k - 6. Suppose 36 = u - 5*y, 0 = 5*u - 3*y + 6*y - 40. Suppose -192*g + 264*g + 2328 = -316*g. Let z(c) = 13*c - 11. What is g*z(q) + u*n(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 286 = -244 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4\/2 - 68317*l**3\/6 + 435722*l**2\/3 + 32838*l = 0. What is l?\nAnswer: -2\/9, 0, 13, 7578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 - 35336*j + 25102455\/2.\nAnswer: (j - 70315)*(j - 357)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xci when three letters picked without replacement from ccbzbzccxiiaai?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*215\/(-430) - 1293*(-2)\/(-48).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.6631207 to two dps.\nAnswer: 35.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = i - 5*i - 122, 648 = 5*s - i. Suppose z = 2*p - 444, 2*p + 2*z - s = 320. Round p to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 5, 1, -1, 4 in descending order.\nAnswer: 14, 5, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2401*v - 54 = 2410*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**6\/45 - h**5\/3 - 14*h**4\/9 - 8*h**3\/3 + 213*h. Factor v(r).\nAnswer: -2*r*(r + 2)**2*(r + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/6 + (-4863)\/(-6). What is the greatest common factor of 30 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1164406883?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 8*m**2 + 9*m - 6. Calculate x(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 199*x**2 - 2089*x - 227. Calculate r(209).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/667, 4, -3?\nAnswer: -2\/667","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -925*t + 7. Determine s(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/12 - 1125\/(-60). Suppose -j*z = -36*z + 3094. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 1. Let x(u) = -40*u + 36. Let r(a) = 144*f(a) + 4*x(a). Let g(c) = c. Calculate r(g(z)).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808817 = -471*a + 765014 for a.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1082\/9 + 1447\/12. What is the common denominator of -45\/11 and k?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 200*x**3 + 59*x**2 - 59*x**2 + (-x**2 + 0*x + 0*x)*(3 + x - 3) as m + g*x**2 + t*x**3 + w*x and give t.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 56*w + 8*w**2 + 0*w**2 - 2*w**2 - 30*w - 29*w to k + c*w**2 + d*w and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 3*y + 1\/30*y**6 + 0*y**5 - 1\/12*y**3 + 0*y**2 + 1\/84*y**7 + 0 - 1\/12*y**4. Factor f(r).\nAnswer: r*(r - 1)*(r + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 4*q**2 - 2*q + 6. Let z be l(4). Let j be 16 + (4\/(-5))\/((-14)\/35). Let x(g) = 19 - 35 + g + j - 5*g**2. Give x(z).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f - 10673. Let o(y) = -4*y + 16020. What is 10*c(t) + 7*o(t)?\nAnswer: 2*t + 5410","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 429366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -225 - -329. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -1)**2 - (sqrt(45) + sqrt(45)*-1)**2.\nAnswer: -8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2685834084 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: Factor 4*h**3 + 40*h**2 + 132*h + 144.\nAnswer: 4*(h + 3)**2*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 45?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1408864148.030805 + 1399607836.47779917. Let o = k + 9256313. Let g = o - 1.447. What is g rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + -6*(sqrt(1584) - (-1*sqrt(1584) + sqrt(1584))))**2 + 5 + -2 + sqrt(11)*-2.\nAnswer: -2*sqrt(11) + 39603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (8 - (-9 - (-8 + -14)) - 4 - -22)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -19 (c) 3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 2*u**2 - 2*u - 4. Let d be k(3). Let b be 52*d*30\/(-24). List the prime factors of 3419\/b - (-6)\/(-10).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 3*p + 6. What is the lowest common multiple of 4 and t(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-4)*(-2)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*o = -140*o - 38 + 198. Solve -o = 4*j - 2*l - 2*l, 11*l - 61 = 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25785227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5 - 36*l**3 - 35*l**3 - 2*l + 73*l**3 + 0*l. Let t(f) = f**3 - 1. Give -h(k) - 5*t(k).\nAnswer: -7*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0*y**4 + 0*y + 0 + 132*y**2 - 43\/40*y**6 + 0*y**5 - 101\/6*y**3. What is the first derivative of j(x) wrt x?\nAnswer: -387*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.067 (b) -1\/42 (c) -2\/17 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2656*d + 2892*d = 944 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 244772620 to the nearest 1000000.\nAnswer: 245000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -73, -157, -273, -421, -601?\nAnswer: -813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4468 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629008940?\nAnswer: 2, 5, 7, 743, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.1, -1341, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 + -20 + -32 + -17 + -38.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 821*a**9\/504 + 11*a**5\/4 - a**4\/12 + 7*a**2 - 29*a. Find the third derivative of c(o) wrt o.\nAnswer: 98520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (2 + -3))*4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48516500 and 3191875.\nAnswer: 242582500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**6\/6 + b**5\/2 - 5*b**4\/4 - 20*b**3\/3 - 10*b**2 + 6*b - 34. Let m(x) be the first derivative of r(x). Factor m(z).\nAnswer: 5*(z - 2)*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.9 - 19.9. Let g = i - 1.5. What is the fourth smallest value in -16\/3, -3\/5, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158023977 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 3:16 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*a**3 - 22098181*a - 80629416 wrt a?\nAnswer: -9*a**2 - 22098181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -84*m + 28*m + 199360. What are the prime factors of m?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 14, h: 1}. Give prob of sequence hgg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 1 - (299 - 299)) + -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -1643334\nAnswer: -657333.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 348.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7757164um to meters.\nAnswer: 0.0000007757164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 8:06 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1022 + -1101102010?\nAnswer: -1101103032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-544)\/(-340)*3*(-3)\/(54\/(-5))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3485713?\nAnswer: 7, 11, 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 4*c - 5. Let f = -1 - 3. Let o be (-2)\/3 + (-20)\/(-12). Suppose 0*l + 12 = 4*l, l + o = -4*v. Let j(n) = n + 1. Give f*j(g) + v*i(g).\nAnswer: g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81728789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000889406 rounded to 6 decimal places?\nAnswer: 0.000889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 122253766 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 9 = 1. Find the second derivative of 2*a + 2 - g - 4*a**2 + 4*a wrt a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 391 and 12325?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 2*g. Let p be l(-3). Let q(a) = a**2 - a - 4. Let w be q(3). Differentiate -p*x**w - 2 - 2*x**2 + 8*x**2 with respect to x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -12115e?\nAnswer: -12115c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/13*z + 20\/13 + 2\/13*z**2.\nAnswer: 2*(z - 5)*(z - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by -5 - 1235\/(-40) - 3\/(-24)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -800*f**3 + 178*f**2 - 3*f**4 - 2*f**4 + 627*f**2 = 0.\nAnswer: -161, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**3 + 2*r - 12. Let i(k) = -45*k**2. Determine i(p(o)).\nAnswer: -1620*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s - 5*s - 4 - 7*s. Let i be k(-4). Suppose -2*n = -6*n + i. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-270)\/84*2*(-22)\/33*175\/15.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 11*d**2 - 4*d + 1. Let q(i) = -5*i**2 + 2*i - 1. What is -2*n(u) - 5*q(u)?\nAnswer: -2*u**3 + 3*u**2 - 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -4, -61\/8, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 42317576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1256248?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370705 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 130 + 35 = 0. Suppose 5*p - 6 + 21 = 0. Let o = p - v. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(4\/3)*p)\/p**(-3\/11) assuming p is positive.\nAnswer: p**(119\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c**2. Let j(y) be the third derivative of -y**4\/12 - 96*y**2. Calculate o(j(g)).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/45032 and 87\/90064.\nAnswer: 90064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 + 102*q + 880. Let i be s(-11). Let k(v) be the first derivative of 11\/3*v**3 - 19*v + i*v**2 + 4. Differentiate k(p) wrt p.\nAnswer: 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 73.017202?\nAnswer: -219.051606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1371 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l**2 - 19*l + 10. Calculate the remainder when w(4) is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2 + 24*s**5 - 4*s**4 + 3*s**2 + s**3 - 27*s**5 = 0. What is s?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, e: 6, d: 2, j: 1}. Give prob of sequence ej.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/19255 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 11:52 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 859091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.233 + -0.297. Let w = 13.064 + r. Sort -3, -0.7, w, 1\/8.\nAnswer: -3, -0.7, 1\/8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.074462389 rounded to three decimal places?\nAnswer: -4.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 15 = -55. What is the remainder when 13 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -214*g**4 - 1371*g**2 + 4610318*g wrt g?\nAnswer: -2568*g**2 - 2742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1655 = 5*k, 0*k + 330 = k - v. Calculate the remainder when 6\/27 - 26*k\/(-90) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/(w*(w\/w**4)\/w)*((w*w*(w\/(w\/(w**(2\/3)\/w*w*w*w)))\/w*w)\/w)**(15\/2))**17 assuming w is positive.\nAnswer: w**(1071\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1960575 to the power of 1\/2, to the nearest integer?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/6 - 322\/(-84). Suppose 0 = -3*s + 3*m - i*m + 189, 0 = -s + 4*m + 50. Suppose 0*z + s = 2*z. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3 + 39\/(-9). Let m be c\/(-6) + 74\/6. Suppose m = o + 5*z, -7*o - 2*z = -2*o + 4. What is the biggest value in 2\/3, o, -0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1088) + sqrt(1088) + -5 - (0 + -4*sqrt(34)\/sqrt(2)))**2.\nAnswer: -40*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320271474.\nAnswer: 2, 3, 53, 191, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-690)\/168)*(-8)\/2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1364.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 11) to base 14.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.016 (b) -4 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 41211404042?\nAnswer: -41211404040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 211*y**2 + 407*y + 3899. What is q(213)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3111499 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(72) + 3.\nAnswer: 1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 51.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 7\/16, -1\/3, 1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from {u: 3, z: 4, r: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*u + 29*u - 2*y + 76, -2*u + 5*y = -13. Calculate the remainder when 2\/5 + 408\/5 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(17) - (4 + sqrt(17)*1)) - (sqrt(17)*2 + 4).\nAnswer: -8 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43522 - 132136\/3. Let w = -5851\/12 - z. Let j = 35 - w. Which is the smallest value? (a) 5 (b) 2\/9 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 14*x**5 + 2*x**3 + 90*x - 2. Let d(u) = 14*u**5 + 3*u**3 + 90*u - 3. Let v(s) = -2*d(s) + 3*p(s). What is the second derivative of v(j) wrt j?\nAnswer: 280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27784 and 47288?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzv when three letters picked without replacement from zzzvvvvvvvz.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127716*p = 127672*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -50*g + 74 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2680 and -27\/10.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -11. Let h be 397\/(-4) + b\/(-12). Calculate the remainder when h\/(-4) + 0\/1 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1733? (a) -5 (b) -87 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 645 or 939?\nAnswer: 645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-118)\/(-295)*(-10)\/1)\/((-8)\/42)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/7 >= 295\/382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45219*t**2*y**3 - 2*t*y - 2*t + 124*y**3 - 7*y wrt t.\nAnswer: 90438*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 6:20 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -6) + 9 + -8. Solve 3*n = 4*p - 27, -n + 2 - g = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4 + 52. Let k be (3\/(-2)*-4)\/(-1). Let s = k - z. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223 = -64*x + 161 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 13. Let y = b + -3. Suppose -m = 3*t + 3, y*m - 2*t = 1 + 1. Solve m = c + 4*c + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113232 is divided by 919.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4\/11))**(-1\/24))**(-1\/71) assuming r is positive.\nAnswer: r**(-1\/4686)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(85)\/(-4*sqrt(5)) + 5)**2.\nAnswer: -5*sqrt(17) + 1617\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8400\/24)\/25*(-3)\/12*(-2)\/42.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 5. Suppose z*v - 6*v = 5*j - 10, v = -2*j + 3. Let u be (2 - 24)\/(-1 + j). Calculate the highest common divisor of 88 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.85 - 0.35. Let h be 10\/75*12\/(-8). Which is the closest to 1? (a) i (b) 2\/15 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**2\/2 + p - 3. Let x be u(-4). Solve 21 = -4*b + x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 306, 611, 910, 1203?\n\"Answer: -3*p**2 + 314*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 184 + 306. Let b be 34\/(-153) - v\/(-18). Calculate the highest common divisor of 243 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 27*q - 25. Suppose -66*x = 32*x - 10*x - 176. Give p(x).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7906 to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, q: 7}. What is prob of picking 1 g and 1 q?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from tdqqmatmzztqqt.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -47ae2d?\nAnswer: -47ae28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f = 691 - 47 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14878 - -132?\nAnswer: 15121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v = 8*v - 35*v. Let a(q) be the first derivative of 8 - 2\/55*q**5 - 2\/11*q**4 + v*q + 0*q**2 + 0*q**3. What is k in a(k) = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/46*(-1 - (-48)\/45). Let f = h - -1366\/2415. Suppose f - 2\/7*o**2 + 2\/7*o = 0. Calculate o.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298 - 214 = -4*d for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 9:52 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 400 + 18\/(-8) + 2\/8. Suppose -z*s = -396*s + 20200. What is s rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -1.699.\nAnswer: 3.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 0, -4 in descending order.\nAnswer: 0, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-two fifths of a centimeter?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z*z*z**(-3\/4))\/z*(z*z**17)\/z assuming z is positive.\nAnswer: z**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/20*((-8)\/6)\/(276\/46). Let g(d) be the third derivative of 3*d**2 + 0 - j*d**3 - 1\/150*d**5 + 0*d + 1\/30*d**4. Factor g(n).\nAnswer: -2*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 - (-30 + 28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pls when three letters picked without replacement from qplsssqlqpllslq.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-560)\/196)\/((3\/7)\/3)*(-517)\/(-94)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -18*i**2 + 41*i - 438. Let w(u) = -10*u**2 + 20*u - 239. Give 6*h(x) - 11*w(x).\nAnswer: 2*x**2 + 26*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -410, -803, -1174, -1511, -1802?\nAnswer: -2035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let c(f) = -12*f - 19. Let q(n) = c(n) - 2*o(n). Find the first derivative of q(i) wrt i.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0086 plus 0.006?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + 0. Let g = -7 + m. Let b be 3200\/(152\/(-50) + g). What is b rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 2*d**2 - 5*d**2 + 4*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 6.88. Let a = h - -0.02. Are -1\/2 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -89604, -179216, -268830, -358446, -448064, -537684, -627306?\n\"Answer: -x**2 - 89609*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19057200.\nAnswer: 2, 3, 5, 15881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -471 + 483. Calculate the remainder when 130 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99.6 + -100. Put -3\/4, y, 4 in decreasing order.\nAnswer: 4, y, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and -2.41?\nAnswer: 0.2169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 658676278 to the power of 1\/2, to the nearest integer?\nAnswer: 25665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1 - 4 + 0*l + 2 - 6*l. Give o(5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + x + 72 = 0, -6*o + 36 = -3*o + 3*x. Let u(z) = 5*z**2 - 22*z + 19. Is u(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*o + 18. Let t(l) = 0*l - 6*l - 2*l + 16 - o*l. Is t(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 7*n = 22. Let i = -13\/603 + -60721\/8442. What is the common denominator of i and -3*(3 + n) + 171\/60?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -509a81 (base 13) to base 12.\nAnswer: -7669a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -29027 + 29031, 0 = -3*x + d - 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.29, 2\/19, 8, 2\/17?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5069 and 592?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -38, 5, 1 in decreasing order.\nAnswer: 5, 1, -35, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 687 = -267. Let c be h\/4 - 3\/(-6). Suppose -3*u - 145 = -5*o, -5*o - 5*u + c = -2*o. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 + b**4 + 0*b**4 - 1 - b**3 - b**3 to the form r + j*b + o*b**2 + a*b**4 + g*b**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.72 + 0.28. Which is the closest to 0? (a) i (b) 1 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 464220 divided by 10316\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z = 3*z - 4*z. Let c(x) = 16 - 5 + x + 2 + z. Let o(d) = -d. Give o(c(n)).\nAnswer: -n - 13","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*t - 2117 - 718. Calculate the remainder when 404 is divided by t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, w: 16}. What is prob of picking 4 w?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from {q: 11, u: 1, a: 1, c: 2}.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {y: 2, w: 1, c: 2, h: 2, m: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - m - 1. Let g be ((-8)\/(-18))\/(2\/9). Let j(s) = s + 2*s + 2 + 4*s**2 + 0*s**g - 3*s**2. Let q be j(-2). Give y(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, y: 1, u: 1, c: 1, w: 2}. What is prob of picking 1 w and 1 h?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*((-6)\/7)\/3. Let j = 86 + -88.4. Let s = 1.9 + j. What is the third biggest value in 0.1, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11518 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6248 and 76964.\nAnswer: 1693208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -5, -8, -9, -8, -5, 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 4*a - 25, 0 = 18514*a - 18484*a - 210 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -161 and 922146.\nAnswer: -148465506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6513.38, -2\/3, 5\/3, 0.1 in increasing order.\nAnswer: -2\/3, 0.1, 5\/3, 6513.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-36885)\/(-57) - 22\/209?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhgh when four letters picked without replacement from {g: 4, h: 15}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 377 + -376. What is the remainder when 577 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 676 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - b = 4*b - 60, 3*b + 19 = 2*c. Calculate the lowest common multiple of 1 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, 18\/11, -501?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 70*o. Let t(x) = -82*x**2 - 43*x**2 - 90*x**2 + 209*x**2. Give r(t(b)).\nAnswer: -420*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 259, 265, 273, 283, 295, 309?\n\"Answer: v**2 + 3*v + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1185 + 34369\/29. What is the common denominator of t and 41\/3?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - b - 2)*(-4 - 1 + 3 + (-1 + 2 + 1)*(2 - 5 + 1) + 0 + 3 - 1 + 1 - 4 + 1).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 27, -2\/7, 0.2, -10, 6 in decreasing order.\nAnswer: 27, 6, 1\/2, 0.2, -2\/7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -489, -497, -505, -513, -521?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3247*w + 50. Let h(p) = -2*p - 8. Calculate a(r) + 6*h(r).\nAnswer: -3259*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 1, u: 2, z: 2, f: 1}. What is prob of sequence uy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2009 - -1.2009. Which is the closest to n? (a) -130 (b) -0.5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 673 + -6d9?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.188 + 16.188. Let u = 11.1 + -1.1. Which is the nearest to u? (a) -2 (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, l: 8, u: 3}. What is prob of picking 2 u and 1 i?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259446 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + -1. Let k = o - -12. Solve k = 5*h + 17 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 163861, 163860, 163859?\n\"Answer: -y + 163862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -48*w. Let c(k) = -5*k - 2*k + 0*k. Let p(s) = -40*c(s) + 6*q(s). What are the prime factors of p(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -238902868, -477805739, -716708612, -955611487, -1194514364, -1433417243, -1672320124?\n\"Answer: -g**2 - 238902868*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.121 times -576?\nAnswer: 69.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/17)*u\/u**(5\/3))\/(u**(-1)*u)**(-2\/57) assuming u is positive.\nAnswer: u**(23\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, c: 7}. What is prob of sequence wwc?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6018 and 342?\nAnswer: 343026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/7)*x)**(1\/10)*(x*x*x**7*x)\/(x**13\/x))**20 assuming x is positive.\nAnswer: x**(-262\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25862791, 25862784, 25862777?\nAnswer: 25862770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5601 less than -5602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*(19*i**2 + 9253*i + 9256*i - 18515*i + 1) as y + o*i**2 + w*i and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 13.74.\nAnswer: 14.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -15\/2 (b) -5 (c) 4\/3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-214)\/(-12) + (-46)\/(-276)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -967 (b) -2 (c) 0.1 (d) 103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002723022 to 5 dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 266887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 7*o**3 + 5*o**2 - 2*o**2 - 3 + 2*o. Let v(t) = t**3 + 0*t + 72 - 3*t**2 - 7*t**3 - 2*t**3 - 170 + 102 - 2*t. What is 4*m(i) + 3*v(i)?\nAnswer: 4*i**3 - i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11269200 by -1878200.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 - d**3 - d**2)*(0 - 1 + 3)*(4*d + 2 - 2) in the form u*d**2 + h*d**3 + k*d + y*d**4 + s and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -0.4, 1\/366, 0 in decreasing order.\nAnswer: 2\/19, 1\/366, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 5)\/((-4)\/32)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83181 divided by -17?\nAnswer: 4893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*y - 3116 + 1064. Calculate the greatest common factor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away 0.16932606916?\nAnswer: -0.11932606916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*u + 17*u**2 + 13*u to the form l*u + x*u**2 + r and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -5*c**4\/24 - 33*c**2. Let d(s) = 301*s**2 - 63. Let m(x) = 19*x**2 - 4. Let g(b) = -4*d(b) + 63*m(b). Determine g(f(u)).\nAnswer: -175*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12912084*r**3 - 7511*r**2 - 131 wrt r?\nAnswer: -77472504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3801369.\nAnswer: 3, 11, 13, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-224)\/64)\/(108\/8 + -11)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z = 29*z + 17167. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-12))\/(6\/(-12))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*d**2 - 191*d**2 + 46*d**2 + 47*d**2 + 66*d**2 + 39*d**2.\nAnswer: 33*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -62\/5 and -12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w**2 - 7*w**2 + 5*w**2)*(-20*w + w + w) + w**3 - 3*w**3 + w**3.\nAnswer: -145*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d + 6. What is i(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -43586 to the nearest one thousand.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbububbbb. What is prob of sequence ub?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1245 = 38*o + 5121. What is the nearest to 1\/3 in o, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3) - -2)\/(-22 - 2358\/(-108))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.2 + 7.5. Let l = k + 9.7. Let m = l + -5.8. What is the third smallest value in -1\/2, -2\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 4, 1 in decreasing order.\nAnswer: 5, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4211*m**5 - 6478*m**3*s + m**2 + 64864*m*s + 180*s - 1 wrt m?\nAnswer: 252660*m**2 - 38868*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v. Suppose 0 = -4*c + 18 - 98. Let q be (-10)\/(-2)*c\/4. Let x(u) = 9*u + 4. Let o(f) = -55*f - 25. Let b(n) = q*x(n) - 4*o(n). Determine z(b(y)).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -572 - -342. What is the common denominator of (928\/(-4640))\/((2\/(-18))\/((-15)\/(-72))) and 6\/(-27) + i\/(-36)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925155.\nAnswer: 3, 5, 7, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69686.69 centuries to millennia.\nAnswer: 6968.669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 156 + 488. Suppose 7*m - s + 27 = 0. Solve 2*c + m + 0 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g - 84. What is a(19)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - 5*h + 3*h**2 + 7*h - 2)*(-27*h + 27*h - 15*h**2) to v*h**3 + i*h**2 + a*h**4 + f*h + b and give a.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11365384643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690657 is divided by 1066?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 x when three letters picked without replacement from iijddixxdqijjd?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 7621197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.21473l in millilitres?\nAnswer: 96214.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c**3 - 8*c**3 - 6*c**3)*(-8872*c + 4288*c + 4399*c) in the form u + y*c**2 + w*c**4 + t*c**3 + s*c and give w.\nAnswer: 1850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17659886*n*u**5 - 2*n*u**3 + 17*n*u**2 + n*u - 26*n + 2*u**2 - u - 423 wrt u?\nAnswer: 1059593160*n*u**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14636*h**3 + 271*h**2 - 14805*h**3 + 429*h**2 wrt h?\nAnswer: -1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/21557955?\nAnswer: 2\/21557955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 16, -4*f - a = 2*a - 45388. Let y = 19263 - f. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c - 232 = -2*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d + 3. Let p(f) = 3*f**3 - 2*f**2 + 1. Suppose 0 = -23*c + 19*c + 4. Let t be p(c). What is h(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 3.7, -5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(-3))\/y)\/(y**2*y))\/(y**4*(y*(y\/(y*y**(-13)))\/y)\/y))**(22\/7) assuming y is positive.\nAnswer: y**(-352\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/728820 and -23\/360.\nAnswer: 1457640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/2, -3.7, 0.5, 0 in descending order.\nAnswer: 0.5, 0, -0.4, -1\/2, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -36, -72, -108?\n\"Answer: -36*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7422431 or -7422425?\nAnswer: -7422425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + z + 38 = 0, -z - 2 = -3*u + 56. Solve -4*r + u = -0*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 106. Suppose 55 + h = 2*t. What is the remainder when t is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -bb564 - 243?\nAnswer: -bb7a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*((-1610)\/(-1274))\/23.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 18. Let d = 13.3 - p. Let q = 549 + -554. What is the nearest to 0 in -3, d, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 11*t**2 - t - 3. Let p be d(-11). Let h(j) = -j**2 - 5*j. Let l(z) = 2*z**2 + 8*z. What is p*h(m) + 5*l(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -42*h + 65*h. Suppose -l + 5*l = 0. Put l, -0.2, h, 5 in increasing order.\nAnswer: h, -0.2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**5\/20 - d**4\/8 + 5*d**3\/6 + 29*d**2. Let n(w) = -w**2 - 3*w + 5 - w + 5*w - 6. Give -n(h) - x(h).\nAnswer: -2*h**2 + 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - y + 14. Let o be x(3). Solve -20 = o*p - 7*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1*z*z)**(-26)\/(z\/z**(2\/7)*z**(-9)))**(5\/6) assuming z is positive.\nAnswer: z**(-1220\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -1928.24\nAnswer: 578.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2296, 8748, 18698, 31486, 46452, 62936?\nAnswer: 80278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3 + 2\/6. Suppose 4*t = 4*l - 0*l, 0 = l + 4*t. Let d(h) = -10*h**2 - 6*h**3 + 10*h**2 + l*h**2. What is d(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*d - 4*i, 2 = 5*d - 3*i - 5. Suppose 20000010 = -4*y + 2*l, 0*l = -d*y + 3*l - 10000015. Round y to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7 = 1. Suppose -4*w - h*r - 51 = 0, -4*w + 9*w + 3*r = -63. Let y = w + 13. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/9)\/(6\/18) + -3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 664561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - w + 6 = -12*i, -2*w + 8 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 4*y - 4. Let f be (-5)\/y*16\/(-20). Suppose -f*o + 7*o - 210 = 0. 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: Solve -390*z + 1166*z = 357*z + 360*z - 649 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 705 a factor of 2638066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3417097 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**4)**0*(f**19)**(-1\/7))**(1\/3) assuming f is positive.\nAnswer: f**(-19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - l**2 + l - 3. Let c be s(2). Suppose 2*q + i = 281, c*q + 2*i - 7*i - 415 = 0. Let n = 213 - q. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 321, 505?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14867562, 14867564, 14867566?\n\"Answer: 2*g + 14867560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1 + 0 + u + 1. Let o(w) = -w**2 + 4*w + 12. Let s be o(6). Is m(s) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2 + (-25)\/(-10). Solve -5*c - n*b = 14, -4*b = 4*c - 7*c - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905138346 is divided by 7193.\nAnswer: 7191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -0.37, -4, -3\/8, -2\/3?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -897*v - 386 - 511 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 13. Let u = 29.6 - 29.5. Put u, t, -1 in descending order.\nAnswer: u, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*b + u - 61, 28*u + 73 = -6*b + 9*u + 14*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**5 - 2244*s**4 - 530874*s**3 - 31880628*s**2 + 1866856005*s.\nAnswer: -3*s*(s - 35)*(s + 261)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0.9. Let j = -2.7 - -3. Sort j, z, -5 in increasing order.\nAnswer: -5, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/4566 and -9\/213841.\nAnswer: 1283046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2562 = 3*p, 37*p - 41*p - 4*g = -3416. Is p a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/40428256 and -73\/3675296.\nAnswer: 40428256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - 29*x**3 + 4*x)*(-4 + 2 - 4).\nAnswer: 174*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.03, -1\/7, 0.04, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2266 + 716 - 2856 = -4406*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2160 and -73\/55272.\nAnswer: 4974480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1971.9 - 2016.9059. Let l = 16.3 - -28.7. Let b = f + l. What is b rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.146196 days in minutes?\nAnswer: 11730.52224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p - 7. Let j be d(-2). Differentiate 1 - 26*m**j + 5 - 7 with respect to m.\nAnswer: -78*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 7188.\nAnswer: 165324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*f + 6. Suppose f*x = 3 - 1. Let r(k) = -k**2 + 1. Let h(y) = 4*y**2 + y - 6. Calculate x*h(c) + 6*r(c).\nAnswer: -2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(3)*3)\/(sqrt(243) - (sqrt(243) + sqrt(243)*2)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + q - 1. Let m(x) = 15*x**2 + 9. Let d(t) = -18*g(t) - 2*m(t). Find the second derivative of d(a) wrt a.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52665651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010373233 to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -4, 1 in decreasing order.\nAnswer: 1, -4, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-1) - -1 - 22\/5. Put i, 2.7, -1\/3 in descending order.\nAnswer: 2.7, -1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9561 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6413 = -4*g, -13*g + 5 = -8*g. Suppose -19*q + 16*q = -t. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 70 - 134. Calculate the least common multiple of (-2)\/4*((-1)\/7 + 63612\/(-1596)) and t.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 9. Solve -5*h - 17 - 2 = -3*t, 0 = 3*h - 3*t + v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 150 (b) 0 (c) -1\/7 (d) 9 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((-2)\/(-24))*(-30 + 67)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((9\/(-2))\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001901 rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 2114?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 451697231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffufffufffffffffu. Give prob of sequence uuu.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28520483 - -1?\nAnswer: -28520482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.6 - -9.1. Let y = -5 - n. What is the smallest value in y, 3\/5, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 5*b**2 - 3*b - 5. Suppose -3*c + 9 + 9 = 0. Suppose -f + r = 3*r - c, 5*r - 17 = -3*f. Calculate the remainder when j(-5) is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 425 + -404. Let m be 23 - v - (-4)\/2. Solve -2*u - 4*w - 20 = 0, u - 3*w - 15 = -m*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 + 2 - (3615 - 3559).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 67892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2253 is divided by 747?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s + 9*s - 61*s - 5*s**2 + 35*s + 3*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69230871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026 = -2*n - 9184. Let x = n - -45899\/9. Let z = 26665\/2 + -13373. What is the common denominator of z and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9288073*f**2 - 153448*f + 12 wrt f?\nAnswer: 18576146","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2))\/((-6)\/3). What is the third smallest value in 4, 6\/7, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4972*w + 2419*w + 2404*w.\nAnswer: -149*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**5\/90 + l**4\/36 + 4*l**2 - 5*l. Let d(v) be the first derivative of r(v). What is j in d(j) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -14, 0 in descending order.\nAnswer: 3, 0, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*j, p - 4*j + 2*j = 5. Let i be 4 + (-4)\/(24\/22). What is the closest to i in -1\/4, 4, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -3\/4, 0.5, 3\/7, 0.15, -841?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 32*o**2 - 7*o + 62. What is the units digit of l(30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b851 (base 13) to base 9.\nAnswer: -38077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31603 and 13013.\nAnswer: 221221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137184 or 1\/43?\nAnswer: -137184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2 - 384*l + 12288 = 0.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/6 - -3)*-30. Solve -5*a - 3*d = -0 - c, -a = 2*d - 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2. Let n(y) = 0*y + 720*y**2 - 2*y + 18*y**2. Calculate n(v(s)).\nAnswer: 738*s**4 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45154*a**2*m**3 - 5*a**2*m**2 + 5*a**2 + 1325103*a*m**3 wrt a?\nAnswer: 90308*m**3 - 10*m**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 184040 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 39.3965 times -0.71\nAnswer: -27.971515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2. Let a(q) = -1221*q. Determine a(r(u)).\nAnswer: -1221*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 225 - (-9)\/((-9)\/(-4)). Let z = -208 + a. Solve -4*t = -v - z, -4*v - 3*t = t - 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(128) + (sqrt(3) - (3 + sqrt(3) + 0)) + 5.\nAnswer: sqrt(3)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1436 divided by -4.\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/(-2))\/(-5))\/(19\/(912\/(-18)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 52710.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -4) + -1 - (1 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -129d72 (base 14) to base 4.\nAnswer: -2130233100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70579608 and 88?\nAnswer: 70579608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/7800 and -57\/2600.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**4\/4 - c**3\/3 + c - 2. Let k be z(0). Let u = 32 - 27. Solve m - 2*m + 2*g + k = 0, -u*m = -2*g + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j - 6. Let u(i) = i**2 + 2*i - 1. What is k(s) - 4*u(s)?\nAnswer: -4*s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2045 - -1.2045. Which is the smallest value? (a) -46\/7 (b) l (c) 3 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 - 2*a**3 - 6*a**3 + 0*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 22. Let b(d) = -4*d + 43. What is -6*b(n) - 11*v(n)?\nAnswer: 2*n - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -o + 18323*o**2 - 10 + 17376*o**2 - 34412*o**2 as i*o + j + f*o**2 and give f.\nAnswer: 1287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*k - 75 = 0. Calculate the greatest common divisor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324112928 a multiple of 1808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {t: 6, m: 12}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.4 (b) 0.03 (c) 2\/835 (d) -3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j - 2*j + 3*j)*(2 - 2 + 2*j**3)*(-3 - 11 + 1) as y + i*j**3 + v*j**2 + l*j + k*j**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t\/t**4*t))\/(t*t\/t**(-5)*t))\/(t\/(t*t**(2\/5)))**20 assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52965202 rounded to the nearest one hundred thousand?\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4426722 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b8 (base 14) to base 6\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10555 + 13035. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -47*c**2 - 3*c. Let o = -443 - -440. Let p(l) = -3150*l**2 - 200*l. Let v(u) = o*p(u) + 200*q(u). Let a(s) = 3*s. Determine a(v(y)).\nAnswer: 150*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -349172*z**3 - 183343*z**2 + 1 wrt z?\nAnswer: -2095032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.73 - -0.07. Let i = 0.6 - d. Suppose -4 = s, 0 = -g - 5*s + 8 - 24. What is the closest to 2\/3 in -1, i, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1279 = -501*g - 1727 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 386*t + 632*t + 1449*t - 138*t + (2 - 3 + 6)*(3*t - 3*t - t) as s*t + o and give s.\nAnswer: 2324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*z = z + 8, -5*r + 12 = -3*z. Let v = r - 4. Let w(x) = -4*x**3 - x**2 + 1. What are the prime factors of w(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -681*n + 25565. What is l(38)?\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 2:53 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*0.1.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -117*g**2 - 2612*g - 5219. What is c(-2)?\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 15*s**2 + 12*s + 9. Let c be o(14). Let a = 42 + c. Solve -2*u = -m - 11, -4*m - 5*u - 2 + a = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70481948, -140963897, -211445846?\nAnswer: -281927795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*((s*s\/(s\/s**(-7)))\/s)\/s)**(2\/9)\/(s**8)**(-12\/19) assuming s is positive.\nAnswer: s**(212\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 1. Let r = 10 + -2. Let m = r - 7. Let y(u) = -u. Let p(b) = m*y(b) + 3*v(b). Calculate p(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2028726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 559 = -615. Find o such that -t*o - 1\/2*o**5 + 4 - 25\/2*o**3 + 4*o**4 + 19*o**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3942?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -87, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -18*u + 1. Calculate the remainder when 70 is divided by i(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2. Let g(f) = -50*f**2. What is k(g(o))?\nAnswer: 10000*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1280730 by -6.\nAnswer: -213455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/11 and -49\/186.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 2*f**3 + 7*f**2\/2 - 5*f - 7. What is the hundreds digit of o(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*y + 0 = 75, -4*y = -2*a + 44. Solve 13*g + a*g = 185 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -20*k**2 + 417*k - 398*k - k**3 + 2*k**3. Let c be z(19). Suppose 2*b + p - 51 = -c*p, 5*b = -5*p + 115. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 121 = 31. Let z be (4\/k)\/(1\/(-10)). What is the tens digit of -65*6*2\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 - 8*q**3 - 21*q**2 - 18*q.\nAnswer: -q*(q + 2)*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, c: 4, u: 10, h: 2}. What is prob of picking 2 u and 2 i?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 1. Let p(j) = 2*j - 6. Let w(v) = 3*k(v) - p(v). Let a be w(-3). Solve -8 = -4*l - a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30458*b**4 + b**2 + 2350*b - 2.\nAnswer: -730992*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*u - 282. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from {g: 1, b: 1, s: 2, r: 1, e: 2, u: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -156\/23 equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 u, and 1 a when three letters picked without replacement from {l: 1, g: 1, a: 1, u: 1, o: 1, w: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n + 98*n - 6 = 46*n. Let m be 2 + -46 + (-2 - -1). Let f be n + m\/(-51) + -2. Sort 2\/17, 5, f.\nAnswer: f, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jek when three letters picked without replacement from ekkeejkkk.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2387\/77 + (-3)\/(-1). Calculate the greatest common factor of 136 and g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845.0048us in minutes?\nAnswer: 0.00003075008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 2 = -12*r. Let n = 1118 + -776. Is (n\/(-54))\/(r\/30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 5*q + 7. Let n be f(-5). Suppose n = -j - 6. Let r = 8 + j. Are r and -5 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2364408*l*y**3 + 9*l - 57083101*y**3 with respect to l.\nAnswer: -2364408*y**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*z + 7105, -6*c - z - 28365 = -2*c. Round c to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*l**2 - 256*c*l*w**3 + 3*c*w**2 + 1037865*c + 2133*l**2*w**3 + l**2*w**2 wrt w.\nAnswer: -1536*c*l + 12798*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12103334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-9))\/((-2)\/(-18)). Differentiate m**b - 5*m**3 + 6 - 2 with respect to m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*2)\/sqrt(9) + sqrt(13) + (sqrt(13)*4 + sqrt(13))**2 + 3.\nAnswer: 3*sqrt(13) + 328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 2*c + 3*c**2 - 16*c**3 - c**4 + 22*c**3 in the form h*c**2 + s + m*c + w*c**3 + n*c**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(612) + (sqrt(612) + 3)*-2) + 4.\nAnswer: 22 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3230.316 months?\nAnswer: 0.269193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**3 - 6*h**2 + 7*h + 11. Suppose 11*s - 16*s + 30 = 0. Is x(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4450302.47 rounded to the nearest 1000?\nAnswer: 4450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*k = -139, 4*o - 22 + 140 = -5*k. Let h = o - -30. Suppose -s - h + 12 = 0. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 521\/14 + -259965\/6986. Which is the biggest value? (a) -0.4 (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**5\/210 - 5*r**4\/21 + 13*r**3\/3 + 11*r**2 - 73*r. Suppose n(h) = 0. What is h?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8264 - -8264.65258. Round q to two decimal places.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhfkvvhkhk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75468 and 29298.\nAnswer: 19395276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 14531814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11)*-2 + -3 + sqrt(11))**2 - sqrt(55)\/sqrt(20).\nAnswer: -sqrt(11)\/2 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 65074 and -34689.\nAnswer: 30385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4890?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 139, 142, 145, 148, 151?\n\"Answer: 3*s + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*l**2\/9 + 159514*l\/9 + 39172\/3.\nAnswer: 2*(l + 4197)*(19*l + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*i - 25 - 34*i - 23 + 33.\nAnswer: -104*i - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.5 rounded to zero decimal places?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19479614\/693 - 16\/(-18)?\nAnswer: 2, 3, 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, g: 2}. Give prob of sequence gw.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g. Let c(o) = -5*o - 7. What is c(d) + 4*z(d)?\nAnswer: -d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -120866779.\nAnswer: -483467116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21937 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}