diff --git "a/data/dm_maths/full_data_1/10151_11255.jsonl" "b/data/dm_maths/full_data_1/10151_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10151_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 0 = -468*k + 811*k + 2401 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 454949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**2 - 6*a. Let j(b) be the second derivative of 1\/12*b**4 - 8*b + 0*b**2 - 1\/6*b**3 + 0. Let c be 10\/(1 + -5 + 455\/70). What is c*j(m) - v(m)?\nAnswer: -m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 10*b - 172. Let h = -17 + b. Suppose -8*r + h*r = -138. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by 486\nAnswer: 5\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 7 = -3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 0.02 (c) 0.1829 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*z**2 + 68*z**2 + 79*z**2 - 225*z**2.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 500 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 301 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9379, -18706, -28033?\nAnswer: -37360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21965138 rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3688 < 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3 - 6. Solve -3*k + 3*d - 24 = 0, 6*d - l*d - 28 = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3232 and 31779852.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15, -37, -85, -171, -307, -505?\n\"Answer: -2*p**3 - p**2 - 5*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 112050469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 446661\/326 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from {x: 2, c: 15, u: 3}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*f = 49*f - 19 + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859762058 is divided by 2540.\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 11:21 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (117\/25584)\/(102\/(-3264))?\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 6*l - l - 508, 2*n + l - 1007 = 0. Suppose 1072 = 5*v - v + 2*z, 0 = 3*z. Let c = n - v. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 less than 4093855489?\nAnswer: 4093855567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 952 and 336?\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*z + 17 = -3*z, -3*c - 2*z = -26. What is the remainder when 31 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-33)\/(-1) - (0 + 0).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+17214\nAnswer: 17214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/141442 and -3\/131339.\nAnswer: 1838746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v - 13. Let y be l(2). Solve 3*n - 3*x = -y - 0, 5*n = 2*x + 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-4 - -1))\/2. Suppose b = -2*j - j + 12. Suppose 4*t - j = 16. Solve 0 = 5*z - t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4 + 66\/(-8). Let x be (-1)\/(-6)*d\/(-6). Let v = 0.0518 - -0.4482. Which is the second biggest value? (a) x (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.676 - -246.324. Let b = w - 247.4. Let h = 43\/140 - 3\/28. Sort h, 1, b in descending order.\nAnswer: 1, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + ((sqrt(2268) + -1 + sqrt(63))**2 - (-1 + sqrt(63))*2).\nAnswer: -48*sqrt(7) + 3090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + (sqrt(192) + 0)*2)**2.\nAnswer: 64*sqrt(3) + 772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 165, 172, 179?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/11877?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-96)*(-20)\/(-50)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -s + 258*o - 256*o - 2, -5*s + 93*o = 93 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.238.\nAnswer: -0.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 108594985.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*v**5 - 4*v**4*w - 3*v*w + 2*w wrt v.\nAnswer: 80*v**3 - 48*v**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -14 (b) 4 (c) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10179 - 0.82\nAnswer: -10179.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2889806*q**2 + 370415*q - 4 wrt q.\nAnswer: -5779612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -48, -75, -98, -117, -132?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 19*x**2 + 19*x - 3. What is the remainder when t(18) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 8880, 4 in descending order.\nAnswer: 8880, 20, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -z + 18, -3*z + 262*i - 266*i = 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 8. Let o(b) = 8*b - 2*b - 3 - 2*b + b**2. What is the remainder when g is divided by o(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(48\/60 - 2)*5\/2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z - 3. What is the greatest common factor of 2 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**3\/11 - 520*j**2\/11 + 40226*j\/11 - 152456\/11 = 0.\nAnswer: -323, 4, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 9594*m**2 + 1677*m - 3. Let x(t) = -19188*t**2 - 3325*t + 5. Let v(y) = -5*s(y) - 3*x(y). Find the second derivative of v(f) wrt f.\nAnswer: 19188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-11)\/((-44)\/(-48)). Calculate the greatest common divisor of 96 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 9, -11, -5\/2, -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 68429.02 to the nearest one hundred.\nAnswer: 68400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 939167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8 - 3 + 11 - 5*o. Determine a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 10318?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*g**3 + 22*g**3 + 138*g**3 - 3*g**3.\nAnswer: 179*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 32. Let m = o - -14. Suppose -m*b = b - 60. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -70, -143, -228, -331, -458, -615?\n\"Answer: -d**3 - 66*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3361 (b) 0.3 (c) 0.26 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 805\/2 - 75*v + 5\/2*v**2 = 0. Calculate v.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 127, 358, 691, 1126?\n\"Answer: 51*c**2 + 78*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 a when three letters picked without replacement from {a: 2, n: 7}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10878 - 10821. Solve 19*i = z*i - 152 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6916*r - 83012. Give w(-12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 9:39 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -9 + -6 + (45 - 20) + -27.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, u: 6, s: 3, z: 3}. What is prob of picking 1 z and 3 s?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1158*j + 970*j + 3530*j - 849*j - 269304 for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 163 (b) -3 (c) -2\/9 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 233194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9, -2, 11, 30, 55, 86, 123?\n\"Answer: 3*y**2 - 2*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o + 22*o = -4. Suppose k = y + 4*y, -k + o = -3*y. Solve -k*g = -9 - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - 12*f + 12. Let r be b(5). Suppose 0*o = 3*o - 5*p - 626, 412 = 2*o + r*p. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*l**3 - 1\/6*l**4 - 1\/6*l + 0 + 1\/6*l**2.\nAnswer: -l*(l - 1)**2*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**5\/12 + 5*j**2. Suppose 3*d + 17 = 2*s + 63, -2*s = -4*d + 58. Let w(h) = 10*h + 2*h - d*h + 3*h**2. Give k(w(g)).\nAnswer: 45*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5*a - 2 + a + 4 - 4 - a + 2*a + a + (2*a - 1 + 1)*(2 + 1 - 1) - 1 + 3*a + 1)*(-8*a - 5*a - 8*a)*((2 - 2 + 1)*(-3 + 5 - 1) + 1 + 1 + 1).\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-246)\/21*-1 + 30\/105. Let n(v) be the second derivative of -1\/8*v**2 + 1\/12*v**3 + 0 + o*v - 1\/48*v**4. Factor n(j).\nAnswer: -(j - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -16 + 7 + 10 - 27.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17964*f**3 + 13 + 451*f**2 + f - 12 - f + 17607*f**3 wrt f?\nAnswer: -2142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2304692, 2304690, 2304688, 2304686, 2304684?\nAnswer: 2304682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 685 + 151 = -30*a for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 39. Suppose -2*m = s - 2, -s + 5*m + 5 = 6*m. Suppose 8 = -4*j - 3*o - o, o + s = -3*j. Are j and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -3 + (-18)\/(-3). What is w in 16*w**3 + 15*w**2 + t*w**4 + 13*w**2 - 12*w**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2692472 less than -0.0053115?\nAnswer: -2692472.0053115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 3*p**5\/5 + 8*p**2 + 8. Find the second derivative of r(q) wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -19 (b) 1 (c) -2\/11 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5520 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 223 (b) -101.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4624092.9 to the nearest one thousand.\nAnswer: -4624000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 79 + 14*h**2 - 7*h**2 - 79 + 12*h**2. Let y(n) = -20*n. Let v(x) = 3*x. Let j(q) = -5*v(q) - y(q). Calculate j(w(p)).\nAnswer: 95*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.224 + 0.224. Suppose 0 = 5*f + 20 - 145. Let u = f - 51\/2. Which is the nearest to u? (a) g (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:16 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -67.18 and -0.4.\nAnswer: 26.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q - 5*z + 446 = -36*q + 71, 2*z + 3 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2. Let d(p) = -p + 5. Let r = 3 + 2. Let w(m) = r*k(m) + 2*d(m). Let u(x) = x + x - 3*x + 5*x. Determine w(u(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j - j)*(1 - 3 - 1).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*c**3 - 1461*c**2 + 397749*c + 66615945 = 0. What is c?\nAnswer: -187, 635\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + -1)\/(6\/4). Calculate the remainder when 1 + v\/(-3) - (-342)\/27 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259871 + 834685 + 2333386 = 133*u. What are the prime factors of u?\nAnswer: 2, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10337?\nAnswer: 10337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59978 is divided by 1616?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 1 = -h, -2 - 39 = 4*h + 5*b. Let y(d) = -d - 6. Let r be y(h). Let c = 4 - r. Sort 5, c, 1 in decreasing order.\nAnswer: 5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5030 - -15091\/3. Put o, 13.6, -0.01 in decreasing order.\nAnswer: 13.6, o, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*a = 0, 5*l - 6*a + 5*a = 17. Determine y so that -72 + 90*y**2 - 154*y**2 - 735*y**5 + 2061*y**3 - 276*y + 682*y**2 - 264*y**l - 1332*y**4 = 0.\nAnswer: -3, -2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(550) + -2*sqrt(550)))\/(sqrt(128) + 1*sqrt(128)*-4).\nAnswer: 5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 + 5*n**2 - 52*n + 61. Give r(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -56*o - 1. Let b be q(-1). Suppose -4*y = y - b. Let w = y + -8. Solve -j = -w + 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10*k**3 + 68*k**2 - 13*k + 10. Let j be a(-7). Determine p, given that -2\/13*p**j + 4\/13*p**2 + 0 - 2\/13*p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2535 + 14?\nAnswer: 2553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 11*d + 669. Let c be g(-55). Let j = -4 + 5. Let a be j\/(-4) - 32\/c. Is 4 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 6*m**2 - 4*m + 4. Let b be x(5). Let t = b - 7. Suppose t*z + 62 = 3*l, -6*z - 56 = -2*l - z. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (20 - 14 - 3)\/(6\/796) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 12 = -4*k. Suppose 0 = -p + 4*f - 21, 2*f + 0*f = -5*p - 39. Let w = k + p. Is w not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2401\/62088 + -1\/4776. Sort -2, -12, c in ascending order.\nAnswer: -12, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 5:28 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14691, -14691, -14695, -14703?\nAnswer: -14715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -z - 2, -d = -z - 149. Suppose 0 = -0*t - 2*t + d. Is t a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 30001316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h = 0. Let c = -1\/9 - -61\/306. Is c smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.69 + 2.77. Which is the third smallest value? (a) n (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -11*s**4\/12 - 48*s - 59. Let v(q) be the first derivative of b(q). Let o(i) = -6*i**2 + 3*i - 3*i + 3*i**2. What is o(v(t))?\nAnswer: -363*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60*f**3*x**2 - f**3*x - 61*f**3 - f**2*x**2 + 55*f**2 + 32*f*x**2 + 34*x**2 + x + 3 wrt x?\nAnswer: 120*f**3 - 2*f**2 + 64*f + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.158305 rounded to one dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or -339?\nAnswer: -339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 + 1.3. Let q = -19.7 - -15.7. Which is the nearest to -4\/7? (a) j (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 407.1 + 116.9. Let n = j + -519. Which is the second biggest value? (a) n (b) 1\/6 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-30))\/(3\/12). Which is the third biggest value? (a) -1\/6 (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h - 4. Let y be j(4). Is 16 a factor of (-114)\/(-7) + (-8)\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 8*g - 4. Let z(l) = -l**2 + 7*l + 3. Let f = 14 + -21. Calculate f*z(m) - 6*w(m).\nAnswer: m**2 - m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 2*p**2 + 2*p**4 + 34 - 13*p**3 - 53 + 12 to the form j*p + f*p**2 + n*p**3 + g + v*p**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 453544140 + 25?\nAnswer: 453544205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3 = 6, -2*l - 18 = -3*y. Suppose -y*d - 8 = 0, -5*b = -3*d + 59 + 55. Let o = 23 + b. Is 3\/13 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -139.04 less than -1593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 53229*k + 532294. Give h(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.08, -0.3, -2.497, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.506 to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4171 - -4181. Suppose -4*l - 4*k = -140, -5*k = l - 34 - 1. Calculate the highest common factor of t and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b**2 - 2*b - 9*b**2 + 33*b**3 + 0*b to the form f*b + m*b**3 + g*b**2 + d and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1746*t**2 + 248 + 37 + 431 - 1747*t**2 to j*t**2 + z + u*t and give z.\nAnswer: 716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 2*o + 37, -12*o - 136 = -4*a - 244 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m - 7 + 7 - 2*m**3.\nAnswer: -2*m**3 + 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v = -22*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37884 divided by -246.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11457*t - 11423*t + 22820*t.\nAnswer: -60*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, 2, -4, -22, -58?\n\"Answer: -z**3 + 3*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 61*n**3 - 3*n**2 + 3*n - 3. Let p = -64 + 66. Is r(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 80*t + 13. Let u be s(-40). Let d be (-5)\/((-325)\/10)*u. Solve 3 = -3*c - d*l - 4, 0 = -3*c - l - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 206 by -2.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 855 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**2\/7 - 1179512*t\/7 + 86953034884\/7 = 0. Calculate t.\nAnswer: 147439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 j when three letters picked without replacement from {p: 1, j: 6, t: 2, y: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1129651 - 1129610 = -41*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14550 or 14549?\nAnswer: 14550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.12 (b) -2\/13 (c) -106 (d) -3 (e) 1 (f) 26\/15 (g) -2\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -20*m**2 - 48*m - 43. Let r(u) = 39*u + 47. Let j(s) = -4*r(s) - 6*z(s). Differentiate j(d) wrt d.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004777 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/8 and 83\/1551?\nAnswer: 12408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 5 - 5)*((-2*c + 3*c + 0*c)*(5 - 4 + 0) + (4*c + 372 - 187 - 183)*(-2 - 4 + 4)) as q*c**2 + t*c + h and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2\/47 (c) 1\/12 (d) -2\/21 (e) -56 (f) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2 - 1350\/(-825)) + 206\/22?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34079 divided by -1?\nAnswer: -34079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34624 by -5.\nAnswer: -34624\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -z + 16, -4*z - 3 = 5*u + 8. Suppose r + r - 16 = 0. Let v = 4 - r. What is the third biggest value in v, -3, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687975 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 1. Let c(z) be the first derivative of -3*z**4\/4 - 5*z - 4077. Determine c(o) + r(o).\nAnswer: -2*o**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 70053 - 163?\nAnswer: 67670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 j when four letters picked without replacement from wjmbyybzzjymzzy?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**6\/60 - g**5\/120 - g**2. Factor i(l).\nAnswer: l**2*(4*l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-11)*p)**(-42)\/(p*p**(1\/16))**(2\/19) assuming p is positive.\nAnswer: p**(57439\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s**6*s)\/s))\/((s*s**(-6))\/s*s*s))\/(s**(-3)\/s*(s\/(s\/(s**(-1)\/s)*s)*s)\/s) assuming s is positive.\nAnswer: s**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-33)*p*p*p*p\/(p\/(p*p**26\/p))*p assuming p is positive.\nAnswer: p**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, i: 2, j: 2, y: 4}. Give prob of picking 1 y and 2 j.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + -16. Suppose 0 = -4*y - p - 4*p + 93, -3*y - p + 56 = 0. Calculate the greatest common divisor of y and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (210\/(-45) + 2)\/((-2)\/(-6))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 - 6*z + 5. Is x(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 - 11*q**2 + 21. Let l be g(5). Let t be (-49)\/l - (18\/(-24) + 1). Solve 115*s = 111*s + t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-4)\/(-16) - 19\/(-4) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 8:43 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192*-0.06.\nAnswer: 11.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 1. Let v be y(-2). Let u(f) be the first derivative of 2*f**3\/3 + 4*f + 5. Let o(l) be the first derivative of u(l). Give o(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116391.7 times -0.2?\nAnswer: -223278.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**3 + 1317*y**2 - 73653*y - 74973 = 0.\nAnswer: -1, 67, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 7bd6?\nAnswer: -7bd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48506368 and 3584?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 23*t**2 - 758*t. Calculate w(33).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1239958*f**2 + 283532?\nAnswer: -2479916*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 6 (c) -29 (d) -43 (e) 5 (f) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 + -7bb075?\nAnswer: -7bb08b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r - 7*r + 2 - 5*r + 24*r + 30*r.\nAnswer: 19*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 7*y**2 + y - 39. Let h be m(6). Let n(g) be the third derivative of 0*g - 9*g**2 + 1\/120*g**5 + 1\/8*g**4 + 3\/4*g**h + 0. Factor n(c).\nAnswer: (c + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 1, o: 1, a: 1, d: 1}. What is prob of sequence abd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 380182871 and 0.3.\nAnswer: 114054861.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 1\/4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -12105069.\nAnswer: -4\/12105069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7396 divided by 2496\nAnswer: -1849\/624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -201 - -205. What is the nearest to -2 in -2, x, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -293341219*b + 699829510 wrt b?\nAnswer: -293341219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -30. Let j = t - -20. Suppose -j*y + 54 = -0*y. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2763 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*4\/8*-3. Suppose -2*z + 6 = j*v + z, -14 = -4*v - z. Solve -v*o - 5 - 3 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 3*y + 140. Let i(n) = n**3 - 8*n**2 + 8*n - 7. Let g be (1\/4)\/((-2)\/4)*-14. Let f be i(g). Does 20 divide c(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*q - 11 - 1 = 0, 2*v + 13 = -3*q. Let t be v\/1 + (-60)\/28. What is the second smallest value in -0.6, t, 2\/3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27.62 - 5.82. Round o to 1 dp.\nAnswer: 21.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**4\/7 - 3*n**3\/7 - 4*n**2\/7 + 3*n\/7 + 2\/7 = 0?\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445*g + 446*g - 1781*g + 440*g + 17 + 448*g.\nAnswer: -2*g + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*((o\/(o\/(o\/(o\/(o**(1\/2)*o)))))\/o*o)\/o*o)\/o**(3\/10))\/(o\/(o\/(o*o*o\/o**(-2\/5))))**9)**(1\/15) assuming o is positive.\nAnswer: o**(-137\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, 72, 173, 280, 393, 512?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - c**2 - 1. Let x be 1088\/48 - (-4)\/(-6). Let m(z) = 11*z**3 - 15*z**2 + 4 - 4*z**3 + x*z**2. Let p(y) = -4*f(y) - m(y). Factor p(o).\nAnswer: -3*o**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o. Let r be p(-4). Let h be (2\/(-6))\/((-4)\/r). Which is the nearest to 1\/2? (a) -1 (b) 1\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1876 + -1734. Is l < 139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 3*m + 516. Let o(a) = -2*a**2 + 26*a + 10. What is the remainder when (m + 3)\/((-2)\/(-2)) is divided by o(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30053*c**3*m**3 - 14*c**2*m**3 - 13492778*m**3 wrt c.\nAnswer: -90159*c**2*m**3 - 28*c*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3 + 1091*k**2 - 606974*k + 1209576 = 0. Calculate k.\nAnswer: -1497, 2, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 9. Let x(j) = 2*j - 18. Give -5*p(o) - 3*x(o).\nAnswer: -o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2087 - -2090. Which is the nearest to s? (a) 2 (b) -4 (c) -1\/2 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3200 - 134*s**2 + 260*s**2 + 160*s - 124*s**2 = 0.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8103035 is divided by 3389.\nAnswer: 3325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3905 - 64*x - 1945 - 1951.\nAnswer: -64*x + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**2\/2 + 3*v - 14. Let w be b(2). Suppose 3*h = -5*f + 128, 3*h - 2*h + w*f = 56. 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: Find the common denominator of 69\/332 and -173\/66234.\nAnswer: 132468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/84 and -79\/231.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1. Let f(g) = -g + 12. Let o(z) = f(z) - 4*n(z). Let i be o(8). Put -2, -3, -1, i in decreasing order.\nAnswer: i, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r + 4*r + 4*r**4 + (-2*r**2 + r**2 + 7*r**2)*(53 - 53 - 32*r**2 + (-5*r + 0*r + 3*r)*(0 - 2*r + 0)) as g*r**3 + u*r**2 + v + w*r**4 + c*r and give w.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 31\/3, -6, 4, 5, 214, -1?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5903362 (base 11) in base 8?\nAnswer: 47254010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 6:02 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -348634 times 0.09\nAnswer: -31377.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*g**2*l**2*t - 67*g**2*l*t + g*l*t + 2*l**2*t + 2*l**2 wrt l.\nAnswer: 10*g**2*t + 4*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4262725274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118986 is divided by 16939?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4 = -5*i. Let k(l) = -7 + 2*l + 4 + 3. Let s(w) = -w. Let a(z) = k(z) + 3*s(z). Let m(n) = -3*n. What is i*m(t) - 5*a(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41\/4 in -3, 0.1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -190, -733, -1626, -2869?\n\"Answer: -175*j**2 - 18*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121*i**2 + 2*i**3 - 35*i**2 - 58*i**2 to the form d*i + w*i**2 + f + r*i**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/14)\/(511\/42924).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 19*m - 56 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 200 in -2, -153, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 17*y**3 + 2*y + 0*y - 6*y - 102*y**2.\nAnswer: 17*y**3 - 102*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8162 + 285658\/35. What is the common denominator of 37\/14 and l?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/1008 and 61\/864.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2357316*m**3 + 1320859*m wrt m?\nAnswer: -14143896*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 45.63. Let x = q + 0.53. Suppose w = -2, -3*w = 4*h - 9 + 51. Which is smaller: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*o)*(-6 + 4 - 1)*(2*o + 2*o - 6*o) + 2*o**2 - 2318 - o**2 + 2067 in the form a*o + q + c*o**2 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flff when four letters picked without replacement from llffllf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/4 and 21\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*1.49\nAnswer: -2.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100312 - -133110?\nAnswer: 300022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k**(2\/13)))\/k)\/(k**(2\/11)\/k*k))\/(k**(1\/3))**(-2\/67))**50 assuming k is positive.\nAnswer: k**(-1905250\/28743)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4\/7 - 2046*b**3\/7 + 198250*b**2 + 2046*b\/7 - 1387748\/7 = 0. What is b?\nAnswer: -1489, -1, 1, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 1)*(-6*b + 0*b + 31*b) + b - 2*b + 3*b)*(-2 + 2 + 1).\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.219704um to millimeters.\nAnswer: 0.006219704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4875913631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313844, -627697, -941550?\nAnswer: -1255403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.013928 years?\nAnswer: 0.04013928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-57)*(-3)\/(-16).\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101001010 + -10001111100110010?\nAnswer: -10001101111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1236 + -1190. Let u = 0.247 + -46.547. Let p = b + u. Sort -0.1, -5, p.\nAnswer: -5, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 3 + (-177 - -182) + (-11 - 1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 155*l + 3. Let y(b) = -157*b - 2. What is 2*a(u) + 3*y(u)?\nAnswer: -161*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20208, -80307, -180468, -320697, -501000, -721383, -981852?\nAnswer: -1282413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u + 2*u)*(-u - 4 + 4)*(0 + 0 - 2)*(2 + 1 - 1).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.033154449 to 4 decimal places.\nAnswer: 0.0332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13385 is divided by 3313?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -3*o + 3*j, j - 6 + 44 = 2*o. Calculate the remainder when 84 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -921?\nAnswer: -4\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 52832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9602007 and 22404683?\nAnswer: 67214049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000043994043 to 6 dps.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11332102 - -1?\nAnswer: 11332103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 597, 57, 1\/7?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 36. Suppose 4*a - 6*a = 0. Is 13 a factor of g(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 + 112.96. Let r = 9.04 + h. Sort r, 1\/5, 1 in descending order.\nAnswer: r, 1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/2*(-1)\/2. Suppose -q - 4 = -s*q. Suppose 0 = 3*t + q - 10. Solve t*o = -2*k + 12, 2*k = -0*k - 3*o + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*d**3*k**2 + 123339*d**3 + 53103*d**2*k**2 + 3*d**2 + 2*d with respect to k.\nAnswer: 36*d**3*k + 106206*d**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 1\/6*p**4 + 0*p + 1\/6*p**3 + 0 + 84*p**2. Calculate r(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2534*m**2 + 1194*m**2 + 1343*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 9:38 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**4\/3 + 74*z**3\/3 - 14*z**2 - 74*z\/3 + 38\/3 = 0.\nAnswer: -19, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 33787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36, 21, 2, -21?\n\"Answer: -2*s**2 - 9*s + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 2. Let d be c(-6). Suppose -15 = 4*q + 3*z + 2*z, -4 = q + z. Let b = q + d. Solve b*l = 2 - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1522 = -3*z + 311, -4*z - f + 2463 = 0. Suppose 4*j - s = -1540, -4*s - 1023 - 923 = 5*j. Let b = z + j. List the prime factors of b.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85411 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-4)\/24*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/13388 and 26\/7848715.\nAnswer: 31394860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12ba5c (base 15) to base 11\nAnswer: -565281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -722582, -722590, -722602, -722618, -722638, -722662, -722690?\nAnswer: -722722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - d + d)*((-2 + 1 + 0)*(-3 + 2 + 3) + (-3 + 0 + 1)*(4 + 4 - 7)) in the form x + t*d and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/5330*(61 - 0). Let i = -2\/41 + g. Which is greater: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**2 + 46*u + 42. What is r(5)?\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 430 = -40*a - 87 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 11*m - 23. Let o be b(6). Suppose -o = -4*w - 7. Solve -6 = 2*f - 2*i, 3*f - i = -w*i - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106*a**3*j**3 - 4*a**3*j + 53*a*j + 5*j**3 - 2 wrt j.\nAnswer: -636*a**3*j + 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + j + 16, 13 + 7 = -5*j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1189 - 1189.5. What is the closest to -0.6 in -3\/4, 9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(4\/7))*w\/(w\/w**(2\/7)))**(-1\/41)\/((w*w**(-2\/7)*w*w\/(w*w*w*(w\/w**5)\/w))\/((w\/w**(-2\/9))\/w*w*w**(-2\/15))) assuming w is positive.\nAnswer: w**(-47092\/12915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 32, 4 in increasing order.\nAnswer: 3, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yll when three letters picked without replacement from {l: 14, y: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**2\/5 + 288*m\/5 - 58 = 0.\nAnswer: -145, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -144 (b) 0.9 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -338 - -338. Suppose -4*u - 5*l = -142 - 1297, -u + 3*l + 381 = h. What are the prime factors of u?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11142013022 - -2?\nAnswer: 11142013024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.74 - 0.26. What is the biggest value in 0, -4, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/15 + (-171)\/(-90). Which is smaller: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -113.364 from 0.75150208.\nAnswer: 114.11550208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -301 + 303 - 3*n**2 - 1288*n**3 + 2584*n**3 - 1292*n**3. Suppose -4*s - 5*v = -19, 3*s = 5*v - v - 9. Give p(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 433 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41*f**2*p**3 - 66*f**2*p**2 + 2*f - 20995*p**3 wrt f?\nAnswer: -82*f*p**3 - 132*f*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 62594 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250191.\nAnswer: 157, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058233 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 36, -675589 in ascending order.\nAnswer: -675589, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36056 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -623381.7 to the nearest 100.\nAnswer: -623400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -4*(2 + sqrt(275)) + 4)*5)**2.\nAnswer: -1000*sqrt(11) + 110025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 12, l + 4*l = 5*j - 45. Solve -j*u = 8 + 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgfz when four letters picked without replacement from {y: 1, z: 2, g: 2, a: 1, j: 2, f: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.2060359 to two dps.\nAnswer: -60.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + -6*(sqrt(832) + sqrt(832)*3 + sqrt(832))*-3) + 1 + 3.\nAnswer: -2160*sqrt(13) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 354*t**3 + 3*t + 364*t**3 - 720*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 129 = 4*j. What is the third derivative of 38*i**3 - 2 - 14*i**3 - 193*i**2 + j*i**3 + 2 wrt i?\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -234*f*t**3 - f*t**2 - f*t + 11*f + 305*t**3 + 1378*t with respect to f.\nAnswer: -234*t**3 - t**2 - t + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 6*l**2 - l - 1. What is y(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**5\/10 - 89*a**4\/10 + 1831*a**3\/10 + 7149*a**2\/10 - 1656*a - 28566\/5 = 0.\nAnswer: -3, 3, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -22*y**4\/5 + 104*y**3\/5 - 146*y**2\/5 + 8*y + 24\/5 = 0.\nAnswer: -3\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-17)*w)**(-29\/5)*(w\/(w*(w\/(w**(-1\/10)*w))\/w))\/w*w**(-4\/11))**(-3\/14) assuming w is positive.\nAnswer: w**(-4353\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/259090 and -21\/1564505?\nAnswer: 40677130","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 141 + -237. Which is smaller: -97 or p?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1449*i + 12. Let l be n(1). Let c = 7282\/5 - l. What is the common denominator of c and -27\/55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520*c - 518*c - 30 + 1039*c.\nAnswer: c - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 take away -15.6524?\nAnswer: 15.6824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*l - 278*l + 2295 = 0. Calculate the greatest common factor of l and 527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4016 = -3*d - 5*d. Let o = 1252 + d. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 12*s**2 + s - 2. Let k = 18 - 17. What is the tens digit of t(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -16*3\/(-6) + 2 + -1. Let y = -7 + 7. Let c = s + y. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -770245 less than 2820.35616?\nAnswer: 773065.35616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10854 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/96 + 142\/12. What is the highest common factor of k and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43420 + 6602?\nAnswer: -34616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 769.7547um in meters?\nAnswer: 0.0007697547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 10*x + 22 = -2*k, 8 = -x - 4*k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -118a70?\nAnswer: -118a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**(-1\/4)*y**(5\/6)*(y*y**6)\/y**7 assuming y is positive.\nAnswer: y**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 525, 523, 521?\n\"Answer: -2*r + 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 22 + 4 = 0. Suppose -z*h + 20 = -2*h. Suppose t = -h*c - 0*t + 15, 0 = -3*c + 2*t + 22. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 21\/8, -0.07, 0.06, 30\/7?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 0.1. Let q = x + -11.7. Let g = -11.4 - q. Which is the third smallest value? (a) -0.1 (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 911 = -0*g + 3*g, 2*s = -5*g + 423. Suppose -11*a + 10*a = -s. Suppose -143*h = 30*h + 65*h - 6664. What is the greatest common factor of h and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 21*b**2 - 13*b - 97. Let n be p(-18). Let c = -1109 + n. Find r such that 8\/3*r**2 - 14\/3*r**3 + 0*r + c = 0.\nAnswer: 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 5, 9, 409709.\nAnswer: -2, 2, 5, 9, 409709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*k + 2*k - 5*k)*(3 - 3 + 2) - 3*k + 1 - 1)*(-2*k**3 + k**3 + 4*k**3) in the form d*k**4 + x*k + u*k**3 + w + a*k**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.09 - -0.09. Let h(c) = -13*c - 845. Let f be h(-64). Put 3, s, f in descending order.\nAnswer: 3, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 85 = 25*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Suppose -c = 2*c - f. Is -1 + -1 + 12 + c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 424\/(-1110) - ((-269694)\/1998 - -135).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/10*-15*(1239\/(-126))\/(-59).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.28 + -0.18. Let x = 6 + -5. What is the nearest to -3 in x, 3\/8, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40938879, -81877752, -122816625, -163755498, -204694371, -245633244?\n\"Answer: -40938873*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 g, and 1 m when three letters picked without replacement from gnmggngmcnggnmcxmg?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10423 * 66.\nAnswer: 687918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/1865999?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41\/158961 or 0?\nAnswer: -41\/158961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - ((3 - 6) + 30\/12). What is the third smallest value in -1\/7, 1, o, 46?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2751, -2750, -2747, -2742, -2735?\nAnswer: -2726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1\/7, 1, 69?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-70)\/21)*(-2)\/(-21).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -4 (b) -5 (c) -136 (d) 3 (e) -2\/39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 52270*s - 18500. Let g be b(6). What is g rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24826600, -24826593, -24826586, -24826579?\nAnswer: -24826572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1644060 to the nearest ten thousand.\nAnswer: 1640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -19*x + 80. Let q be f(4). Solve -q*l - 3 = 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2455178875?\nAnswer: 5, 1789, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i**(6\/5)\/i)\/i*i)\/i)\/i**17 assuming i is positive.\nAnswer: i**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61337580 and 27601911?\nAnswer: 552038220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -0.0381790006063?\nAnswer: 0.4618209993937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 87697553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(90\/(-100)*-2)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9266348 is divided by 96.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l*l**(-3\/5))*l\/(l**(3\/2)*l))**(-1\/15) assuming l is positive.\nAnswer: l**(3\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 3*x + 0*x)*(-12*x**3 + x**3 + 9*x**3 + 14*x**4).\nAnswer: 28*x**5 - 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - -3*(-2)\/6. Let l = 0.03 + -0.13. Let y = -0.04 - -5.04. Which is the third smallest value? (a) y (b) f (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8*r - 496. What is a(-15)?\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 + 21*b**2 + 27*b - 143. Calculate q(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2919107637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**6\/80 + 61*q**5\/40 - 899*q**4\/16 - 961*q**3\/4 - 32*q**2 + 2. Solve x(u) = 0.\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m + 5. Calculate c(6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -294078303, -294078302, -294078301, -294078300, -294078299, -294078298?\nAnswer: -294078297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.51 and 489090358892.\nAnswer: 489090358892.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kaakkbbk. What is prob of picking 2 k?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000009642 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*(3 + (1*(sqrt(99) + 0 + sqrt(99)) - sqrt(99)) + -5 + (-4 + sqrt(99)*2 + sqrt(99) + sqrt(99))**2).\nAnswer: -14382 + 837*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/5*-4*(-25)\/40.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38079 to the nearest 100.\nAnswer: 38100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62421253?\nAnswer: 29, 2152457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -245428*g**4 + 32*g**2 - 1890*g wrt g.\nAnswer: -5890272*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 3*i**2 + i**2)*(1 - 1 + i) - 5*i**2 - 45714*i**3 + 10*i**2 + 45165*i**3.\nAnswer: -550*i**3 + 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -643150 divided by 475?\nAnswer: -1354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 318 and 60.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1188913813.\nAnswer: 1188913813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, n: 3, b: 5, f: 3, i: 5, z: 1}. What is prob of sequence fnf?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 52, 252, 624, 1192, 1980?\n\"Answer: 4*u**3 + 62*u**2 - 14*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 10:55 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 + -8.31\nAnswer: -8.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -25177.\nAnswer: -25177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/((-2*sqrt(72))\/sqrt(6)))\/(sqrt(28)\/(sqrt(700) - sqrt(700)*-4)).\nAnswer: -25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-5 - -8) - 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1.13, 0.2, -0.4 in ascending order.\nAnswer: -3, -0.4, 0.2, 1.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25954002 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m. Let z(f) = 75*f**2. Give d(z(i)).\nAnswer: -75*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52914 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r + 31*r = -6. Let h be (4\/r)\/((-13)\/536250). Round h to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.5 + -8.1. Let d = 14 + q. Which is bigger: d or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**3 - 16*j**2 + j + 16. Let g be i(-3). Let c(y) = y - 2. Let l(p) = p. Let h = -1 - 0. Give g*l(u) + h*c(u).\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85817\/16907 - -147\/29. Do b and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a = 3*g - 27*a + 942, 2*g = -a - 630. Which is bigger: -312 or g?\nAnswer: -312","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 15*s**3 + 7*s**3 + 7 - 2.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 272\/60 - (-4)\/6. Let d = j - 73\/15. Which is the smallest value? (a) -0.4 (b) -1\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(500) + 0 + (-2 + sqrt(500) + sqrt(500))**2 + 3.\nAnswer: -70*sqrt(5) + 2009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2985*k**2\/2 + k\/2 = 0.\nAnswer: -1\/2985, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -2*u**2 - 1. Let g = 6 - 4. Let x(m) = 3*m**2 - 2*m**2 - g*m**2. Calculate x(v(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4699.723 centimeters to meters.\nAnswer: 46.99723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/3 + -5\/3. Let d = 5.6 - 5. Let r = 0.1 - d. Which is the nearest to 1? (a) 4\/5 (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6920176*o**3*p - 3*o**2 + 1622*p + 220 wrt o?\nAnswer: 41521056*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -190, 4090, 4 in increasing order.\nAnswer: -190, 4, 4090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 18 (c) 1\/5 (d) -9.8 (e) 1\/4 (f) -2051 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12033011301 - -2?\nAnswer: 12033011303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x + x**3)*(2 - 2 - 2*x + (4*x + 0*x - 2*x)*(1 - 1 - 1) - 4*x + 4*x + 2*x).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqqgpqq. What is prob of picking 1 q and 1 g?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.85 times 417765?\nAnswer: 1608395.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-6))\/((-1)\/2). Let q be o\/((-27)\/(-6) + -2). Let n = 12 + -7. Put q, -6, n in decreasing order.\nAnswer: n, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726.5514g to micrograms.\nAnswer: 726551400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m + 15. Let k(n) = 2*n - 16. Calculate -5*j(o) - 6*k(o).\nAnswer: -2*o + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - k - 28 = 3*s, -3*s = 4*k + 27. Let y = 1 - -3. Sort 5, y, s.\nAnswer: s, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3\/2*s**3 + 3*s**2 - 3\/2*s**4 - 3\/2 + 3\/4*s**5 + 3\/4*s = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 0*t + 0*t - 424*t**3 + 392*t**3.\nAnswer: -32*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1373 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 735 and 90.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 - 6ab14?\nAnswer: -6aaa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 6*a + 1. Calculate f(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5370*n + 2684*n - 4*o + 252 = -2681*n, -3*o + 9 = 0 for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883 a factor of 234370177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3110 and 2027098?\nAnswer: 10135490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 772149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1135593825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*k + 3 = -1, 3 = 5*t - 2*k. Let a be (-8 + 4 - t) + 5. Suppose a*n - 19 = -3*r - 6, 0 = n - 5*r - 39. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -4\/7, 0, 0.4, -1255?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 - -146. Find the second derivative of u*c**3 - 18*c**2 - 12 - 8 + 46*c - 47*c wrt c.\nAnswer: 12*c - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15184*z + 15184*z - 10*z**2 - 3*z**3)*(-3 + 1 + 3).\nAnswer: -3*z**3 - 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1072 - 1064. What is the least common multiple of n and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 3*(sqrt(637) + -2) + (sqrt(637)*3 + sqrt(637))*-6)*-1)**2.\nAnswer: 1764*sqrt(13) + 280953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -242?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 17\/4 of a microsecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 823 - 828. Put 1\/9, y, -24 in increasing order.\nAnswer: -24, y, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8188.29 + 1898.\nAnswer: 10086.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 2. Let n(r) = -r - 4. Let q(z) = 3*z + 6. Let p be q(-4). Let w be n(p). Let g be j(w). What is the greatest common divisor of 90 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 18576.\nAnswer: 55728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -52. Let h = 19 - j. Suppose 5*d**3 - d**3 - 5*d - 5*d**3 + 2 + 4*d**h = 0. Calculate d.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2988 = g - 1069, -4*g + 16252 = -9*h. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 29*n - 42 = 0. Let s(v) = v**3 + v**2. Let h(x) = -2*x**3 - 2*x**2 + x. Calculate n*s(i) - 2*h(i).\nAnswer: 2*i**3 + 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 328 - 331. Suppose 0 = -2*a - 0*a - 4*j - 4, -2*j = -3*a + 18. Let l be (5 - -7)*(-2)\/a. Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(-24))\/17*2*1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.38742 minutes in seconds?\nAnswer: 1823.2452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -172*k**4 - 1139*k**3\/3 + 538. Find the third derivative of n(r) wrt r.\nAnswer: -4128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -350 + 436. Calculate the remainder when n is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 7*l - 5. Let x be ((-14)\/4)\/((28\/(-8))\/7). Give w(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/4*(-3)\/(-4). Let c(z) = -z - 9. Let x be c(-8). Let b be (1\/(-4))\/x*4. Which is greater: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-six fifths of a hour?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 8 = 0, 5*c - 10*c + 2*d - 7 = 0. Is 311 - (c\/1 + 7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199640271 != 199640273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1862.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 10*b = 35. Is (3818\/4)\/(b\/(-14)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 + 28*w\/3 + 80\/3.\nAnswer: 2*(w + 4)*(w + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 0*j**3 + 2*j + 0*j**5 + 1\/6*j**6 + 0 + 0*j**4 - 3*j**2. Differentiate v(o) with respect to o.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -277441326\nAnswer: -277441325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/30 and 11\/425?\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3654, 3770, 3886, 4002, 4118, 4234?\n\"Answer: 116*f + 3538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357 - 3*o - 357.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3.397 * 1\nAnswer: 3.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uii when three letters picked without replacement from {p: 4, b: 2, m: 1, u: 3, i: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10149466 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -932 - -345. Let h = a + 886. What are the prime factors of h?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -10*b**2. Let j(n) = -n**2 + 11*n + 17. Let r be j(12). Let d(x) = -13*x**2 + r*x**2 + 4*x**2 + 6*x**2. What is k(d(a))?\nAnswer: -40*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*q + 98, 4*b - q = -21 + 434. Let f be (b\/(-12) + 8)\/((-4)\/918). Calculate the greatest common factor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5 - 15. Solve -4*o = -2*o + f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37.12 - 39.12. Which is the closest to q? (a) 0.1 (b) 0.11 (c) -4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 133\/70 - 22\/(-220). Solve 3*u - 1 = 5*f + 7, -k*u + 6 = -4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + m - 1406 = 0, -1408 = 3*p - m - m. Let c = -329 - p. Is 28 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sju when three letters picked without replacement from {k: 1, j: 1, s: 2, u: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -4 + (-3 - -12 - (-2 - 5))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.445256 to two dps.\nAnswer: 3.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202222001100202 + 1?\nAnswer: -202222001100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 569 + -573.082. What is o rounded to one decimal place?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311588 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 48*w**2 - 17*w**2 - 32*w**2 + 0*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g + 36 + 9*g - g**2 - 11 + 15*g. Is 21 a factor of f(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-18))\/((-4)\/(-6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/3 + 6838*y\/3.\nAnswer: -y*(y - 6838)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2 + 44*x + 72 = 0 for x.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -458 - 1732. Let k be v\/(-14) - 8\/(-28). Let z = -18 - k. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**3 - 42*g**2 - 32*g + 55. Determine i(11).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -473 or -18?\nAnswer: -473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyd when three letters picked without replacement from hyhhyhhyhddhy?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 20*y + 8. Give x(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*r*w - 10355*h**3 - h**2*r*w + 7*h**2*r + 5*h**2 + h*w + 5*w wrt h?\nAnswer: 12*r*w - 62130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330) - 3*sqrt(330)*1)\/(sqrt(11) - 5*sqrt(99)))\/(-1*(sqrt(1440) - (sqrt(1440) - sqrt(1440)*2))*5).\nAnswer: -sqrt(3)\/840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g - 2 = 0. Let t be 3\/3 + g + 2. Let j be 3\/(-15)*(-1 - t). Is j smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729133 is divided by 456?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u**2. Let l(t) = -129*t**2. Give y(l(w)).\nAnswer: 83205*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10524 (base 10) to base 3.\nAnswer: 112102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 3*y + 4 - 2)*((1 + 2*y - 1)*(0 + 0 - 2*y) - 2*y**2 + 4 - 4) - 2*y**3 - 139*y + 20*y**3 + 148*y in the form w*y**2 + j*y + o*y**3 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 2*g + 456. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 3*j + 6. Suppose -28 = 4*k - 8, -4*c - 5*k = 57. Is p(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2516*r - 2960*r - 22200 for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*l**3 - 267*l**3 + 3*l**3.\nAnswer: -221*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 331298 and 726?\nAnswer: 993894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 100*n - 2198. Let u be p(22). Solve 0 = x - 5*r + 29, u*r - 89 + 83 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28057.\nAnswer: 28057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2031 + -126?\nAnswer: -2157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -0.09, 1\/4, -20, -32?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 853 + 783 + 23695549*k**2 - 23695555*k**2 to the form d + g*k + h*k**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - (-1308)\/120 - 6)\/(-1 - 2\/4)?\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2359 + -6095?\nAnswer: -3837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -482565.\nAnswer: 7238475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:03 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from crsbg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-4)\/(-6))*27\/(-81). Sort 3, b, 1, -2\/5 in descending order.\nAnswer: 3, 1, -2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + 0. Let c = 8 - t. Suppose c = 9*g - 14*g. Solve k = -m + 6*m + 16, g = -4*m + 4*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1. Let s(h) = 97*h + 6. Let u(c) = -4*q(c) + s(c). Is u(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5642 - -5642.1. Let v = 0.059 + 4.541. Which is the nearest to n? (a) -0.5 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11831 (base 12) in base 14?\nAnswer: 8897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgxu when four letters picked without replacement from {x: 3, o: 5, g: 2, u: 2, q: 8}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 2. Let a = -23 + 14. Let h = a + 8. Which is bigger: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1479 - 7812 = 368*m + 2867 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1.34 (c) -0.3 (d) 1\/16 (e) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 652811352*x**3 + 383897803*x?\nAnswer: 3916868112*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 4 = 7*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 1:34 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 6*k - 22 = 3*g, 5*g = -10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3*(0 + (-2)\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 38330008 = -5*x - 11*h, -2*x - h - 15332002 = 0. What is x rounded to the nearest one hundred thousand?\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*(-12)\/(-9) + 3)*21. Suppose 0 = -2*h - 6, o + h - 2*h = c. Suppose -w + 4*u = -o, 5*w - 384 - 272 = u. List the prime factors of w.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 4*g + 10 - 16 + 2*g. Let l be ((-8)\/(-3))\/((-3)\/(-9)). Let c(a) = a + 2. Calculate l*c(q) + 3*m(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(56\/(-24))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13 + 550\/(-40))\/((-110)\/104 + 1). Solve -8*d + k*d - 3 = 3*h, -5*h = -2*d + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25360?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - d. Suppose m - 18 = -5*y, d = -2*y + 1 + 5. Suppose -451692 = m*g + 1108308. Round g to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - -7. Solve 5*d = -4*g - z, -5*d + 3 = -5*g + 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 - (156 + -147 + (-17 - 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 5:41 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87059 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697553?\nAnswer: 697553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -995 - 2017 = -16*g + 1548. Calculate the highest common factor of 171 and g.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1011011100111101010 (base 2) to base 16\nAnswer: 5b9ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-2) - (-5 + 4)\/(-2). Suppose -28 = 4*u - 5*h, 2*h + 0 = -5*u - 2. Let v be 2 - ((6 - 3) + u). Solve -t = -f + v, -6 - n = 2*t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -42061, -42070, -42085, -42106, -42133, -42166?\n\"Answer: -3*h**2 - 42058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7*l**3 - 347*l**2 + 204*l - 353. What is b(49)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -362\/97, -12\/11, -4 in descending order.\nAnswer: -12\/11, -362\/97, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/9))**(1\/28))**(-14) assuming l is positive.\nAnswer: l**(-11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34064759.\nAnswer: 34064759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k + 2*k - 5*k + (-3*k - 5*k - 10*k)*(-5 + 2 + 0).\nAnswer: 47*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 8) to base 7\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42276 + 4?\nAnswer: -42272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 28*s - 12*s - 3*x + 30 = 0, 25*s - x - 14 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.0165, 2 in decreasing order.\nAnswer: 2, -0.0165, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5215 - 4855 = -8*h + 68*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7291 + -7291.4. Which is the closest to -0.1? (a) 44 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 2\/2 + 5. Suppose -4*b = -2*r - 13 - 41, -5*r = 3*b - 47. Suppose 4*a - 2*z - b = 0, -i*z = -7 + 2. Solve 4 = -g + 4*u, 4*g = -3*u + a*u - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**3 + 155070*w**2 - 2004977124*w + 28039294248 = 0.\nAnswer: 14, 25838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeepljjeepe. What is prob of picking 2 j?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16820 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11 - 1 + 10*h**3 + 4*h**3 wrt h?\nAnswer: 42*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*c - 0*l - 4*l, 2*l = -5*c - 23 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -34. Let x = -29 - k. Let d = -56.99967 - x. What is d rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 4)*(-31*r**2 - 30*r**2 - 59*r + 60*r**2).\nAnswer: -3*r**2 - 177*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 4*c**2 + c - 3. Let q be -5*(-1)\/(-5)*0 - (-20)\/(-4). Calculate r(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/9 - 44*u**2\/9 + 242*u\/9.\nAnswer: 2*u*(u - 11)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 81060 rounded to the nearest one thousand?\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 11 = 5*d - 1, h = -3*d - 7. Let f be ((-6)\/4)\/((-23)\/d). Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 8:22 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4044568 divided by -19352.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342 and 51162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1269 - 1229. What is the highest common factor of 100 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -f. Suppose 24 - 2 = 5*m - t, 2*m + 2*t - 16 = f. Let q = -78 + 78.1. What is the second biggest value in q, -8, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*h - 3 - 57, 0 = -5*v + 3*h - 60. Let f be 1\/(-4) - 483\/v. Suppose 4*d - f = -d. Solve -5*m = 3*b + 11, -b + 2 = 4*m + d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39\/26*6\/1. Solve -1 - b = 4*z + 2*l, 10 = -5*z - 2*l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61476 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 314356326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-4 + 2) - -6) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27 - -6ab?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(90))\/sqrt(10))\/(1*(sqrt(12)\/sqrt(4) + sqrt(3))) + -5 + -1 + sqrt(27) + sqrt(300)*2 + -1.\nAnswer: -7 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1660315 + -1660314.89999852. Let p = t - 0.1. Round p to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v. Let l(y) = 9069*y + 538*y**2 - 3020*y - 3023*y - 3026*y. Give l(k(g)).\nAnswer: 8608*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -10. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (409 - -3) + (24\/(-2))\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeelle?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -2*a + 24, 378*a - 5 = -3*k + 383*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -4)\/((-1)\/(-2)). Let l be -1*(0\/t)\/(-2). Solve l*v + 2*v = -6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5598726, 11197451, 16796182, 22394919, 27993662?\nAnswer: 33592411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 1900?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 162\/17 < 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n. Let p(b) be the third derivative of b**4\/12 + 17*b**3\/6 + 3*b**2. Let y be p(-7). What is the tens digit of i(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-4)*(-175)\/(-21). Let c = y - 64. Is -0.1 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 56, 9, 229 in increasing order.\nAnswer: 0, 2, 9, 56, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 902567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-165)\/20)\/(((-7)\/4)\/(-7)). Let h be 2 - q*(-6)\/90. What is the second smallest value in 1.6, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, m: 1, w: 1, s: 2, r: 1, v: 2}. What is prob of sequence mr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 52*y + 51.\nAnswer: (y + 1)*(y + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*l + 7 - 3 + 2 + 6.\nAnswer: 189*l + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -12, -3*x + 28 = 4*w - 0*x. Let q be w\/3*21\/(-2). Is (-471)\/(-7) - (-4)\/q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 3. Suppose 0 = 8*i - 10*i. Calculate s(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l - 47. Suppose -y + 16 = -5*y, 4*r + 3*y = 12. Let k be a(r). Sort -6, -3, k in decreasing order.\nAnswer: -3, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-5*(sqrt(55) - sqrt(1980)))\/sqrt(5))**2 + sqrt(396) + 3 + 3 + -2.\nAnswer: 6*sqrt(11) + 6883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*g**2 + 2*g + 4*g - 6*g to h*g + d*g**2 + o and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*v**4 + 527469*v**3 + 51*v**2 + 46728?\nAnswer: -192*v + 3164814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-118*h - 4 + 1 + 17*h)*(-2*h**3 - 3*h + 3*h) as m*h**2 + o + x*h + w*h**3 + d*h**4 and give d.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + c + 17 - 30 - 3.\nAnswer: c - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 951049 or 950789?\nAnswer: 951049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 - x**3 - 15*x**3 + (-x + 4*x - 2*x)*(5*x - 3*x + 8*x)*(0*x - 2*x + 3*x) as g*x**3 + d*x**2 + v*x + q and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74107, 145304, 216501, 287698?\nAnswer: 358895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -6 + 4 - 13. Let y(q) = -q**2 + 8*q - 10. Let i(a) = -a**2 + 7*a - 9. Determine m*y(w) + 6*i(w).\nAnswer: -w**2 + 2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 380 and 380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6251046 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 344 and 918910?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**2. Let q be (-6)\/(-15)*(-130)\/(-4). Let m(w) = -9*w + q*w - 4 + 4. What is m(t(x))?\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2265 or -20387\/9?\nAnswer: -2265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 78167\/3 > 26056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - 4*c = 65, -4*q - 59*c = -112*c + 56*c + 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -127, -274, -421, -568?\n\"Answer: -147*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 7*c. Suppose -139*q + 130*q + 3060 = c. Is q a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 14*s**2 - 116*s + 1. Determine b(8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 - 53. Let z = 90 - 49. Calculate the remainder when z is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 3:37 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 39. Suppose w + 2*j - 14 = 0, j + 52 = 5*w + 2*j. Let d be (4\/(-5))\/((-2)\/w). Solve -4*g - 4*n = c, 2*g - 6*n = -d*n + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 4 - 4 - (13 + -17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 2*u**3 - u**2\/2 - 2*u + 2. Suppose 2*h = -l + 3*l - 14, l = 3*h + 17. Is 11 a factor of b(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -k - 6, -5*k = 878520*l - 878512*l + 30 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by -67.\nAnswer: 64\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6*w - 85 = 0. Suppose -12*i + w = -251. Calculate the greatest common factor of 224 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*k - 8, -8 = 3*k + 4. Suppose 0 = w*j + 255 + 9. Let c = 98 + j. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1100506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-212)\/583)\/((-4)\/(-22)))\/15\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-192)\/216*(-60)\/16*(-1)\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 5*a**2 - 4*a - 3.\nAnswer: (a - 1)*(a + 3)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - -11?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 895098 = 8184*s - 39634*s - 362902 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 6618.\nAnswer: 33090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + t - 20. Let f = -2 - -14. Calculate the remainder when t\/4*630\/(-75) is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07627937541 rounded to four decimal places?\nAnswer: -0.0763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32008946 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(10\/(-4) - (5 - 8)). What is the nearest to -1 in u, -0.2, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336971495.\nAnswer: 5, 7, 1187, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 4*g + 0*g)*(g + 2*g**2 - g) + 2*g - g + 18*g**3 - g**3.\nAnswer: 13*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 113\/14 or 7?\nAnswer: 113\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 286 = -304. Are -60\/13 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**4\/8 - 5*d**2. Let m(u) = -u. Let n(a) = a. Let b(k) = -2*m(k) - n(k). Determine b(g(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43 and -12.\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t**3 + t**2 - t + 9. Let n(q) = -3*q**3 + q - 4. Let p(f) = 5*n(f) + 2*z(f). Suppose -2*w + 2 = -2. Suppose w*o + 1 - 5 = 0. What is p(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.3 - 19.3. Let h = 16.000072 + m. Round h to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Let s = 4 - 8. Let n(r) = r**3 + r**2 - r. Let i be n(0). Which is the closest to i? (a) s (b) -2\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3081959.\nAnswer: 3081959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/22 + (-2)\/(-11). Let q = -22 - -94. Let d be 3\/(-4)*2*32\/q. Which is the closest to d? (a) z (b) -1\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11804681*a**4 - 330227*a**2 + 13*a wrt a?\nAnswer: -283312344*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z + 2*z + 3*z + 113 - 2*z.\nAnswer: 7*z + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12547643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 + -471?\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10602 is divided by 407?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*w*x**4 - w*x**3 + 20915*w*x + 822557*w with respect to x.\nAnswer: 24*w*x**3 - 3*w*x**2 + 20915*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*1*sqrt(78) - sqrt(78)) + (sqrt(78) - sqrt(78)*2)*-3)\/((sqrt(54)*-1)\/sqrt(9) - sqrt(12)\/sqrt(2)*-4).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c - 2. Let d(m) = 5*m - 2. Let t(q) = 5*d(q) - 6*h(q). Let n be t(0). Suppose 2*w + 9 = 5*w. Solve z + w*l + n*l = -22, -2*z + 3*l = -21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o + 7*a - a - a = -10*o + 60, 2*o = -55*a - 204 + 864 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 minus -0.049?\nAnswer: -22.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 + 383 = 29*y. Calculate the highest common factor of y and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298454064.\nAnswer: 2, 3, 127, 173, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 8:01 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 34\/11 (b) -3\/4 (c) 10035 (d) 2\/9 (e) -1 (f) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - -46. What is the remainder when i is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1137404 (base 12) to base 13.\nAnswer: 8bb604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(4\/9))\/y)\/y**(-2\/5)*y**(-6)\/(y\/y**9*y)*(y\/y**4*y**(3\/5)*y)\/((y**(2\/5)\/y*y)\/(y*y**4)) assuming y is positive.\nAnswer: y**(187\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 68*((-1)\/4 + (-123)\/246). Which is greater: w or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -400 - -400. Let h be 0 + v + 5\/1. Solve m = 8*a - 3*a - 23, -h*m - 10 = -4*a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -380 by 5.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.241614 microseconds in days?\nAnswer: 0.000000001981963125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ghgghwcgghcggc?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -259, 4 in decreasing order.\nAnswer: 4, 3, 1, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - r**2 + 4*r - 4. Let g(t) = -3*t + 24. Let y be g(9). Let a be x(y). Solve -w + a - 7 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 - 71.9. What is the closest to 1 in o, -1\/10, -4\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*d**3 + 49*d**2*y - 783*d*y - d - 2*y wrt d.\nAnswer: 300*d + 98*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6129530163 a multiple of 616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + n + 27. What is h(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -16*p**3 + 22*p**2 - 8*p - 46. Let x(z) = -3*z**3 + 4*z**2 - z - 9. What is -2*n(c) + 11*x(c)?\nAnswer: -c**3 + 5*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 + -9.9. Let m = n + 11. Let i = 0.7 + m. Which is the second smallest value? (a) 2\/9 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 - -241. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 10:10 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 261295152 to the power of 1\/2, to the nearest integer?\nAnswer: 16165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24603778 and 8.\nAnswer: 98415112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 92, -514, -1524, -2938, -4756, -6978, -9604?\n\"Answer: -202*a**2 + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211495648?\nAnswer: 2, 7, 13, 59, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f**2*f)**(-17\/3)\/(f\/f**(1\/6)*f**(-3\/2)) assuming f is positive.\nAnswer: f**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -40279 < -3143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39648\/11 - -3597. Which is bigger: n or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8.3 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42.9289 + -0.0969. Let t = -0.12 - 42.88. Let m = n + t. What is m rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11902\/7151 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 2*t + 9. Let d be y(0). Suppose o + d = 4*o. Solve o*f + 2 = -4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 0 + 0*p**4 + 2\/5*p**5 - 4*p**2 - 4*p + 0*p**3. What is the first derivative of g(z) wrt z?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + (sqrt(1792)*-1)\/(sqrt(484) + (sqrt(484) - 2*sqrt(484)) + sqrt(4))))**2.\nAnswer: 64*sqrt(7) + 1796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, -1\/2, -5 in decreasing order.\nAnswer: 0.07, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 2*k = 2*f + 126, 508*k + 288 = -9*f + 514*k for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 941380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-108))\/((-2)\/(12\/(-22)))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62211639, 62211637, 62211635, 62211633?\nAnswer: 62211631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1321\/11 + 120. Let u = 93.6 + -94. What is the second biggest value in c, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183.74 - 181. Let p = f + 170.26. Is 0 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2475.340213 rounded to 1 decimal place?\nAnswer: 2475.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**3 - 13*f**2 + 19. Let v be a(-5). What is the highest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bewbwv. Give prob of picking 2 w and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1320000 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 17*s - 31. Let i be j(5). Let m = 89 - 77. Calculate the highest common divisor of i and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65.4 + -61.3. What is the nearest to 1 in -2, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0334 + -0.3666. Put -11, -3, o in ascending order.\nAnswer: -11, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20150237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 379*g + 252 = -193*g - 158*g, -2*g + 4 = 2*s - 5*s + 11 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-213)\/(1*-3))\/(1\/(-1)). Let z = p + 61. Let k(g) = -61*g - 29. Is k(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnngngnn. What is prob of picking 4 n?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -58. What is the closest to -1\/6 in -0.2, 5, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - z - 8 + 20, -f - 2*z = 1. Suppose n - j - j = 829, -f*n + 4109 = -j. Suppose 1602 = q + q - 4*y, -q = 3*y - n. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2200.2174 microseconds?\nAnswer: 0.0000006111715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**2 + 7. Let k(t) = 5*t**2 - 6. Suppose 0 = -3*w - 5*i - 13, -7*i = -2*w - 4*i - 15. Give w*s(a) - 7*k(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 1:46 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1375*c**4 - 15*c**2 - 39207*c?\nAnswer: 16500*c**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**6\/360 + w**5\/20 - w**4\/6 + 7*w. Let b(p) be the third derivative of c(p). Let v be b(-5). Is v equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2451319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + o + 3 - 5 + o**2 - o**4 in the form s + v*o**2 + i*o + y*o**3 + p*o**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 19*k = -14*k + 8, t - 4*k = 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 43142 * 0.1\nAnswer: 4314.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 1 - -3) + (-2 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 6 + c)*(269 - 76*c - 269) + (6 - 3 - 5)*(7*c**2 - c**2 - 2*c**2) to o + n*c + z*c**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -32. Sort d, 1, -4 in decreasing order.\nAnswer: 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*m**2 + 17748 - 17748.\nAnswer: -274*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3))**(-36) assuming l is positive.\nAnswer: l**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010111101000111011110 (base 2) in base 16?\nAnswer: 2bd1de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -48\/727 and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + f - 720. Suppose -2*n = 3*n - f. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b + -31?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 - 3*n**2. What are the prime factors of v(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 25*r**2 + 79*r + 50. Let h be a(-50). What is h rounded to the nearest 1000?\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Suppose 0 = 4*t - 3*p - 27, 3*p = 5*t + 9 - 42. Calculate the remainder when t is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2491478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 13*n - 9. Let f be (2 - 20\/8)\/((-2)\/28). Let y be r(f). Suppose 0 = -4*q - 3*c - 25, 3*q + 3 = 3*c - 0. Sort q, 7, y in decreasing order.\nAnswer: 7, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-644)\/(-184)*36\/(-42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 22, 32, 40, 46, 50?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 15 = -z, -3*i - 53 + 13 = 5*z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v + 101*v**3 - 5*v + (2 + 0 - 3)*(0*v**3 + 2*v**3 - 3*v**3).\nAnswer: 102*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11823 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 6 = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11519 divided by 1.\nAnswer: -11519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**3\/3 - 8*c**2 - 27*c. Let f be p(-10). Suppose -2*q + 4*m = -120, 0 = -2*q - 2*q + f*m + 252. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -135\/148561 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/20)\/((-115)\/391).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(30)*-1)\/((sqrt(70) + sqrt(70)*-1)\/sqrt(7) - sqrt(10)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25133, -50117, -75101, -100085, -125069, -150053?\n\"Answer: -24984*b - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktbuakbbaaua. Give prob of picking 1 t, 1 a, and 2 k.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 62 + 2. Let c(z) = -z**2 - 3*z. Let a be c(-4). Let p = a + d. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*(-75)\/175\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 2 - 44 + 7 as n*r + w and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2857.\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2 + 2280*t = 0. What is t?\nAnswer: -2280, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = b + 7. Suppose z = 3*h + 2, -5*z + 13 = -5*h + b. Solve 5*k - 5*j - 3 = 2*k, -2 = -k + z*j for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/2)*p)\/p)**24)**(-37) assuming p is positive.\nAnswer: p**444","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 75173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 454628 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8637824177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2677525 (base 8) to base 11.\nAnswer: 475124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c6 (base 13) to base 7.\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003149 to 7 dps.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 835896573 to the power of 1\/2, to the nearest integer?\nAnswer: 28912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 2*i + 10*k = -75, -5*k + 3 = -4*i + 69 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2134 + -2133.78. What is the smallest value in -6\/11, -0.1, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174 - 48. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.5 from -606.\nAnswer: -602.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g - 4. Let t be f(4). Let j = -361 - -367. Solve 0 = 11*l - t*l - j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*u + 204, 41*p = 9088*u - 9092*u - 272 for u.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 416 or 414?\nAnswer: 414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/22, 0.025, 0, 2\/7, 1 in decreasing order.\nAnswer: 1, 2\/7, 0.025, 0, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -13*x - 329. Let i be z(-26). Solve -7 - i = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15247\/2123 + 28\/(-4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, u: 2, b: 4, q: 1, z: 5}. Give prob of sequence bb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17186 = 4*t - 5*o - 17042, 5*t - 5*o = -140 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, c: 3, g: 4, e: 4, z: 1, t: 1}. What is prob of picking 1 z and 2 g?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -33. Which is the third biggest value? (a) -2\/3 (b) -0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101101011111000011001000011 - 11?\nAnswer: 10101101011111000011001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 839\/120 + -13\/40. Calculate the common denominator of ((-2)\/8)\/((-10)\/1380) and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 348*j - 22. Let v(l) = -720*l + 45. What is 9*m(b) + 4*v(b)?\nAnswer: 252*b - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + sqrt(304)*4*-4 + sqrt(304) - sqrt(304))**2 + 1 + sqrt(304) + -1.\nAnswer: 4*sqrt(19) + 68400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 8*r**2 + 7*r + 6. Let q(b) = -b**2 - 10*b - 7. Suppose 0 = 3*h + 5*p + 15, p - 3*p = -6. Let k be q(h). Calculate v(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) - 1532*(-71)\/(-8). Let n = h + 21403. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (43\/8)\/(18\/9816). Let x = d - 2941. Find the common denominator of -63\/2 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1050?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2475 and 33852225?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 776 = 740. Solve 9*k = 12*k + j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45509501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urr when three letters picked without replacement from {r: 8, g: 5, u: 5}?\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.25 - -6.15. What is the nearest to g in 0.04, 2, 3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 12*l**2 - 11. Let r be c(-12). Let n = r - -19. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**2 + 64*k + 31. Let t(m) = 3*m**2 + 32*m + 14. Let l(v) = -4*j(v) + 9*t(v). What is the units digit of l(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 15\/(1 - 4). Let q be (-3)\/l + (-36)\/(-8). Solve -f - q = -0*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = y - 6. Let r be (-75)\/(-10)*y\/(-3). Suppose r*k + 2560000 = k. What is k rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2 - 107*l - 329. Determine m(0).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -9*z - 54. What is the remainder when z is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 20 = -2*o. Suppose -j = 2*s - 6 - o, -3*s + 41 = 2*j. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 14, u: 5}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**3*r - 564029*q**3 + 370900*q**2*r + 2*q*r**2 wrt r.\nAnswer: -2*q**3 + 370900*q**2 + 4*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -2687?\nAnswer: 268a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 494 divided by -2.\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-1))\/((-3)\/7). Suppose -2 = 3*b + o. What is the units digit of (-12)\/(-9)*b - -44?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 508 - 496. Suppose -k*a + 22457 = -11899. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4098*r + 12364. What is a(-3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5469 (base 10) in base 12?\nAnswer: 31b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 17276653*h - 17276653*h - 25*h**2. Let b(c) = 9*c**2 + 2*c. Let l(r) = 10*r**2 + 3*r. Let q(p) = -3*b(p) + 2*l(p). Give t(q(u)).\nAnswer: -1225*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*x - 3602 = 1382 + 1336. Solve -h = 7*h + x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ada8 + 2?\nAnswer: -ada6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(448) - sqrt(448)*2))**2 + -1*sqrt(448) + 3.\nAnswer: 8*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5690*y - 24*y**3 + 2399*y + 3291*y.\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-5)*10\/28)\/(7443\/(-9924)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 7:41 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12579?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -165\/91 + 13457\/546. What is the common denominator of (((-24)\/(-114))\/(-4))\/(2\/74) and j?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*m = -0*m + 9335, -4*b + 3*m = -7468. Suppose 0 = -7*w + b - 201. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*s + 142, 0 = -s + 3*s + 10. Suppose g = 4*r - 11. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 - 60 - 79 - -134.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 17*i. Let m(c) = 4*c. Let h(x) = 4*m(x) - w(x). Let r(q) = -2 + 13*q + 2. What is h(r(u))?\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -2\/3*c**3 - 3*c**2 + 0 + 0*c - 9\/4*c**4. Let t be u(4). What is t rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(6897)*3 - sqrt(57) - sqrt(57))\/sqrt(3).\nAnswer: 186*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 38*q - 55. Suppose -y + 5*b + 39 = 0, -y - 3*b + 20 = -3. Let p be x(y). Calculate the greatest common divisor of 70 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4502.791 millennia to years.\nAnswer: 4502791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 31. Suppose 0 = -h*i + i. Let v(m) = -m**3 + m**2 + m + 5. Calculate v(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 7*j**2 + 38*j + 37. Calculate the least common multiple of 6 and r(4).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 513178 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 d when four letters picked without replacement from {u: 6, d: 2, g: 5}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 673*a**7\/42 - 107*a**3\/2 - a + 46. What is the second derivative of o(p) wrt p?\nAnswer: 13460*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -390*j - 2899 - 5682 - 5459 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a century in years?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -28. Let b(y) = p + 30*y - 1 - 29*y. Let k(c) = -c. Let h(m) = -12*m. Let v(w) = 2*h(w) - 22*k(w). Give b(v(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 + 466*y**2\/5 + 45148*y\/5 + 17688.\nAnswer: (y + 2)*(y + 134)*(y + 330)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -9*q - 146 + 165, -33 = 5*q - 6*f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) -6\/7 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33729262 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95635\/864248 - 3\/11224. What is the common denominator of y and 77\/18?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.8. Let n = -0.1 - 0.9. Let h = -0.9 - n. Which is the closest to h? (a) -2\/5 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -25, 325, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 156037.\nAnswer: 1404333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2\/13*n**3 - 18\/13*n**2 + 30\/13*n + 50\/13 = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(847) + 0 - (5 + sqrt(49)\/sqrt(63)))**2.\nAnswer: -192*sqrt(7) + 7897\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14338 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001110 - 0?\nAnswer: -111001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 11*l - 21. Let q be g(9). Is (7522\/q + 0)*(-15)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/16)\/(4\/(-16))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-6\/13)*y)\/y)\/(y**(-2\/25)*y*y))\/((y*y**4)\/(y\/(y**(-1\/6)\/y))) assuming y is positive.\nAnswer: y**(-10169\/1950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -11*f + 150. Let u = -552 + 565. Let d be p(u). What is the highest common factor of 371 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from {k: 5, m: 8, j: 4}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 208*x - 1430. Determine p(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -694726, -694703, -694670, -694621, -694550, -694451?\n\"Answer: s**3 - s**2 + 19*s - 694745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - -5. Let v = o + -15. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 566*t. Let q(d) be the second derivative of -d**4\/6 - 21*d - 3. Determine q(x(b)).\nAnswer: -640712*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -132, -309, -630, -1143?\nAnswer: -1896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**4\/12 + 3*z**3\/2 + 3*z**2. Let h be g(-6). Let v = -9 - -9. Sort h, v, 3 in ascending order.\nAnswer: h, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 16*t - 31. Let j = -6256 - -6240. Give z(j).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -409, -822, -1237, -1654?\nAnswer: -2073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**3 - 3515*w**2 - 5*w + 3515 = 0.\nAnswer: -1, 1, 703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4342, 4406, 4480, 4564, 4658, 4762, 4876?\nAnswer: 5000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - -9)*(-2 - -1). What is the units digit of h*(1 - 7) + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from {p: 2, w: 3, z: 4, a: 3, t: 2, h: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 715 = 21*x. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 k, and 1 t when four letters picked without replacement from {n: 1, k: 3, i: 3, t: 3}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1077*o**2 + 7329*o + 7249*o - 14578*o.\nAnswer: 1077*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 504135*22.\nAnswer: 11090970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.8164 - 9460.2164. Let y = -9453.000025 - f. Let w = y + -1.4. What is w rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/126*(3 + (-10)\/4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2189*v**3 - v**2 + 21831*v wrt v?\nAnswer: 13134*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -3. Let h be (-10)\/(-4) - 2\/z. Let g be (1 - 2)\/(3 + h). What is the nearest to 1 in 4\/5, g, 3\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 13*l - 12)*(l - l + 3*l**3).\nAnswer: -39*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + 3*v**2 - 4*v**2)*(-2 + 2 + 3*v) + 2*v**2 + 3 - 3 + 3*v**3.\nAnswer: 9*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -8, 4, 0, -42721, -0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 10:18 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q. Let t(y) = -6*y + 13. Let w(c) = 5*c - 17. Let a(h) = -4*t(h) - 3*w(h). Determine a(d(z)).\nAnswer: 63*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 2212002010000?\nAnswer: 2212002010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -111?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 752\/1267 + -4\/181. Let m = 163 - 111. Let n = 53 - m. Put -0.4, n, z in descending order.\nAnswer: n, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 + 62*s**2 - 12*s**3 + 37 + 2 - 33*s**2 - 34*s**2 wrt s?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -227.397 - 1.003. Let g = 228 + k. Let u = 89\/3 + -29. Which is the fourth smallest value? (a) -5 (b) g (c) u (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**3 - 15911*o**2 - 75538939*o - 92131310229 = 0?\nAnswer: -7021, -1869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f**3*f)\/f*f*f)\/((f**2\/f)\/f))**(-25)\/(f**(3\/5)*f\/f**(-2\/7)*f)**(18\/11) assuming f is positive.\nAnswer: f**(-69193\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -190 + 121. Let r = n + 143. Suppose 2*o - 2*h = 70, -5*o = 4*h - 65 - r. What is the remainder when 122 is divided by o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -21*z**4\/4 + z**2 + z + 2. Let w be c(-1). Let k = 35 - w. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 104918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255836021.\nAnswer: 7, 36548003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oic when three letters picked without replacement from {c: 1, o: 1, l: 4, i: 5}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/o**(-2\/47)))*o)**50\/(o**(-1\/11)*o)**(3\/7))**(-3\/10) assuming o is positive.\nAnswer: o**(-110457\/3619)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -2. Let n(r) = -182 - 5*r + 178 + 3*r. What is n(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1133660460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (6 - 1))\/1. Let f(d) = d**3 + 11*d**2 - 8*d - 12. Let q be f(-12). Find the common denominator of 153\/q*x\/(-2) and -35\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 992a6a (base 13) to base 9.\nAnswer: 6703837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 70 + 37 + h**2 + 36. Let v(k) = 2*k**2 + 3*k + 7. What is 3*v(a) - 7*w(a)?\nAnswer: -a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {l: 2, f: 5, v: 6}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(15))\/sqrt(5) + (sqrt(3)*-2*6)**2.\nAnswer: 2*sqrt(3) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -5, 6, -2273 in decreasing order.\nAnswer: 6, 4, 3, -5, -2273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.95551 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**3 - 17*i**2 + 11*i + 20. Let q(o) = 2*o**3 - 6*o**2 + 4*o + 7. Let n(k) = -k**3 - 4*k**2 + 4*k - 1. Let y be n(-4). What is y*q(v) + 6*z(v)?\nAnswer: 2*v**3 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148 + -260. Let z = -111.1 - v. Which is the nearest to 0? (a) 1 (b) z (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047559 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -2*c**7\/105 - c**6\/30 + 9*c**2. Solve j(b) = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 360 = -8*l. Let p = -52 + l. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*k - 6, -6*h + 2*h = 2*k - 20. Suppose -4*f + 6*w = w - 25, -k*f - 3*w + 17 = 0. Calculate the remainder when 18 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**0*r*r)\/(r**(3\/4)\/r))**(14\/11) assuming r is positive.\nAnswer: r**(91\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.36401 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.06 - 6. Let w = 0.36 - g. Suppose -t = -2*v - 0*t - 8, 0 = -5*v + 2*t - 20. Which is the nearest to 0? (a) v (b) -0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 3 = -3. Let y be (a*5\/40)\/(-3). Let d(q) = q**2 - q + 13. Calculate d(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t - 90. Let w be q(-21). Suppose 152 = w*p - 496. Solve p = 7*x - x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73432021.\nAnswer: 13, 434509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1906 is divided by 189.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 29. Let a(b) = 1 - b**2 - d - 6 - 6*b - 2*b. What is a(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, n: 1, r: 2, w: 4, l: 1, s: 2}. What is prob of picking 1 w and 1 l?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 14*k = -5*k - 2*q - 32, 0 = -q + 1 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 - -64.8. Let v = s - 8. Let q = -1 + -2. Which is the third smallest value? (a) q (b) -1\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, f: 5, h: 3, j: 2, i: 1, e: 1}. What is prob of sequence fe?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 8:54 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2130314882.\nAnswer: 2, 1065157441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-10) + (-2047)\/(-115). Let i be (z\/(-15))\/(18\/(-1125)). List the prime factors of 590\/i*-3*-5.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 47?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 93045?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 336226 + -481026. Round v to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/22 (b) 0.0502 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -68*u**2. Let x(w) be the third derivative of w**4\/24 + 598*w**2. What is x(q(a))?\nAnswer: -68*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*n + 13, 0 = -0*o + 7*o + 3*n - 35. Let i(w) be the first derivative of -12*w + 1\/2*w**o + 10. Give i(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.1 - -9.9. Let s = 1659\/11 + -151. Which is the nearest to s? (a) x (b) -0.1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 56, 412 in descending order.\nAnswer: 412, 56, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20344*d**3 + 19613*d**3 + 29460*d**3 + 1288*d**3 + 61347*d**3.\nAnswer: 91364*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27a58 + 3?\nAnswer: -27a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 32*a + 107. Let g be r(35). Solve -h - 4*h + 2*j = -g, -2*h + 2 = -2*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428812109 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 4:02 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 2*k + 13. Let v(t) = -8*t. What is the remainder when h(0) is divided by v(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 7*f**2 + 2*f + 4. Suppose 6 = 251*x - 253*x. Calculate l(x).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 16. Let p = c - -18. Suppose 4 + 1 = k. Sort k, p, 1.\nAnswer: 1, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 - (8 + -1 - (277 - 269)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11671, 23349, 35015, 46663, 58287, 69881, 81439?\nAnswer: 92955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s = 12, 2*w + 3*s = 20. Solve w*l + 12 = -0*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2. Let s(q) = -4*q**2 + 6*q + 3. Let g(r) = 3*m(r) + s(r). Does 8 divide g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6452*o - 6450*o + 12921*o.\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3273a (base 11) to base 5\nAnswer: 3004400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -84. Let d = w - -59. Let l be 34\/(-72) - (-1)\/4. What is the nearest to -1\/2 in -0.5, d, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, x: 15}. What is prob of picking 3 g and 1 x?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 20*u**2 - 17*u + 23. Let p(l) = 7*l**2 - 6*l + 8. Calculate 6*o(s) - 17*p(s).\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -14. Let x = -19.717 - -19.947. Let v = -0.4 + 0.5. Which is the closest to -0.1? (a) i (b) x (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -9 - 132*l**2 + 131*l**2 - 1 - 8*l. Give y(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, n: 3, q: 1}. Give prob of sequence nnq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4*b - 23 = 0, -10 = -6*j + 2*j + 5*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*q + 493188 = 0, 7*q = -y + 2*q + 123285. What is y rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/11, 0.01, -1, -0.14 in increasing order.\nAnswer: -5, -1, -2\/11, -0.14, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 408843208*g**3*q**3 + 875*g**2*q**3 + 3*g*q**3 + 2*g*q**2 - g*q + 36*q**3 - 12*q**2 wrt g?\nAnswer: 2453059248*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.7164 centuries in years?\nAnswer: 17371.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 170*z**2 - 615*z + 450.\nAnswer: -5*(z - 30)*(z - 3)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25345 (base 15) in base 16?\nAnswer: 1d051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68086*x**3 + 34250*x**2 wrt x?\nAnswer: -408516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 25. Let d = 6 - t. Which is the second biggest value? (a) -1\/3 (b) -1\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 730 = 3*v, 0*n - 736 = -3*v - n. Suppose -z + v = 5*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c + 16*c - 37*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 13. What is the remainder when 21 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, -17, -1\/2, 416.1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x - 16*x = 5*x. Solve 7*z + 27 + 1 = x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 119*f + 148 = 116*f, -3*k = -2*f + 3*f + 44 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89452 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 21, 3, -19, -2, 2 in decreasing order.\nAnswer: 21, 7, 3, 2, -2, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 37*i - 3589. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a factor of 7047803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5739 - 5711 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 374353 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3*4.7251\nAnswer: 14.1753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/810492 and 71\/475116.\nAnswer: 13778364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -141, 10 in ascending order.\nAnswer: -141, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/n*n)\/((n*n**3)\/n*n)*n**8\/n*((n*n*n**(-9))\/n)\/n assuming n is positive.\nAnswer: n**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-76)\/(-8)*3 - 2\/4. Is 27 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = -2*u - 120, 3*u = 0. Let d = -32 + h. Let g(r) = -r. Let m be g(0). Put m, d, -3 in increasing order.\nAnswer: -3, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7541 = -19*m - 7617. Which is the biggest value? (a) 0.3 (b) m (c) -1562\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Let o = -2 - 4. Let g = o - u. Let h(t) = t + 7. What is h(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2511\/2371 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 - -0.01. Let q = 3.32 + -20.62. Let u = q - -17. Which is the second biggest value? (a) f (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580 is divided by 168.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*f - 124, 0 = -393*f + 396*f + 2*l - 100. What is the remainder when 931 is divided by f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 + 3*z**2 - 4*z + 12. Let o be d(-4). What is the third biggest value in o, -3, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 35. Let b be j(0). Let q = b + -61. Let l be q\/(-5) - 8\/40. Solve 2*a + 4 = 4*f + 12, l*f + 4*a + 23 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by (5*(-132)\/275)\/((-6)\/45).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 47130, 176 in increasing order.\nAnswer: 1\/4, 176, 47130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from {v: 3, s: 2, u: 2, x: 4, d: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-4\/13)*n**(-16))**(-3\/38) assuming n is positive.\nAnswer: n**(279\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4 = -5*f, -3*b + 3 = 2*f - 7. Let d = -7 + 7. Let u = 3 + d. Solve -u*i = -2*w, 4*w + b*i + 8 = 4*i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*l = -0*l - 25, 10 = -4*j - 2*l. Suppose -2*v + 3 + 3 = j. Let -2 + 0*g**2 + 9*g + 6*g**v - 2*g**2 - g**2 - 10*g**3 = 0. Calculate g.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*s + 15 - 4 = 0, 0 = -2*s - 8. Let n(b) = b**3 - 11*b**2 - 13*b + 13. Calculate the lowest common multiple of n(12) and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 37680072471.6.\nAnswer: 37680072466.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 4*l = -4*w, -2*l = -4. Let k = 0.2 - 0.6. Sort -0.1, k, w in descending order.\nAnswer: w, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*m**3*y - 8*m**3 - 39*m**2 + 2*m*y - 2*m wrt m.\nAnswer: -42*y - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - h**3 + 2*h**3 + 5092*h - 5092*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + -23. Calculate the least common multiple of 4 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11314040 + -242?\nAnswer: -11314322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 9:50 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i - 115. Give q(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 146319\/22 or 6650?\nAnswer: 6650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-9)*-3)\/(1\/(-58)). Let z = t + -47. Let u = 19 - 7. Which is smaller: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**2 - 4 - 14 + 6.\nAnswer: 7*n**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d**3 + 2*d**2 - d. Let w = 18 - 8. Suppose -5*x = 3*c + 26, c + 2*x = -0*c - w. Let m be c\/(2 + (1 - 5)). Determine a(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 804 is divided by 112.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 1)\/(13 + -14). Solve 3*z = -2*z - 2*q + 23, 5*z - q - 11 = y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430919 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: Expand (1 - 1 + 2*i)*(-11 + 3*i - 7 + 11).\nAnswer: 6*i**2 - 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((3 - -4) + 1)*(-443)\/(-2) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31.913 + -0.087. Let l = 13191 - 13159.355. Let k = l + g. What is k rounded to two decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 6*p - 5. Let f be y(-8). Suppose -5*a + 4*b = -5 - 9, -5*b - f = -3*a. Let t be (-24)\/(-30) + a\/10. Solve 2*c - t = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 2 (c) -0.03 (d) 1\/3 (e) 18 (f) 1914\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(684)) + (sqrt(684) - (-2 + -1*sqrt(684)))**2 + -2.\nAnswer: 54*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 26117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b - 207*b**2 + 472 + 100*b**2 + 105*b**2.\nAnswer: -2*b**2 + 6*b + 472","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948524.\nAnswer: 2, 83, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*z**3 - 25*z**3 + 47*z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187884 and 10188.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-8 + (-9 + 2 - 9) + 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 - 2)*(-4*c + 2*c + 4*c) as y*c + f and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 72, -6, -72, -120, -144, -138, -96?\n\"Answer: o**3 - 85*o + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/308846 and -47\/104?\nAnswer: 16059992","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: 13 - (-10 + -2 + (27 - 3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 17*w + 201. What is r(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/357 and 37\/948141.\nAnswer: 6636987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*y = 20. Let t(j) = -j**3 - 6*j**2 - 2*j - 10. Let c be t(-6). Solve 7 = o - 2*m, -3*o - m - y = -c*m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1782 - -1780. Let b = 1626695\/88 - 18487. Let d = 16\/11 + b. What is the second biggest value in 2, d, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 5, z: 5, c: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74485018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7428773 or 0.27?\nAnswer: 7428773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 70 = 4*i, -i = -2*u + 7 + 25. Let t be (-3)\/(18 - u - (0 + -3)). Let r(d) = -18*d - 10. Let a(w) = w + 1. Give t*r(k) - 10*a(k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -289078*j**2 + 163951*j?\nAnswer: -578156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -14*q + 1. Let b be h(-1). Let z = -27 + 22. What is the remainder when 27 is divided by z + (-2 - -6) + b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/49 and -65\/19618?\nAnswer: 961282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. Let q = -1 + t. Let m be (-4*1\/21)\/2. Which is the nearest to m? (a) 3 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + 11. Let q = m - 20.88. Suppose 6*v - 2*u + 9 = v, -4*v + u = 6. Is v less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.6 + 2.1. What is the nearest to 1\/3 in j, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (74\/(-370))\/(3\/1*1)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 11. What is the smallest value in w, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*r + 0*r + 6*r to the form w*r + n and give w.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-11)\/q*q\/((q\/(q\/(q\/(((q**(4\/9)*q)\/q)\/q))))\/q*q))\/(q**(2\/13)\/q**(-2\/3)))**(6\/5))**(-1\/4) assuming q is positive.\nAnswer: q**(313\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 8 = -0*v - 4*a, -2 = 2*v - a. Suppose 5*o - 5*h - 895 = -v*o, -5*h = o - 173. Round o to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**7\/140 + s**6\/32 + 11*s**5\/80 - 5*s**4\/8 - 3*s**3\/2 - 453*s**2. Let g(h) = 0. What is h?\nAnswer: -2, -1\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169414 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 2 (b) -0.47 (c) -5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4))**(-16\/9)*(q*q\/(q\/q**(3\/5))*q)\/(q**(2\/3)*q))\/(((q*(q*q\/q**(-1\/2))\/q*q)\/q)\/(q*q*q**(5\/3)))**(11\/7) assuming q is positive.\nAnswer: q**(209\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**6\/360 - n**5\/180 - n**4\/36 - 7*n**2. Factor x(f).\nAnswer: f*(f - 2)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 5 - 5)*(-2*v**3 + 2*v**3 - 5*v**4) - 2*v**5 + 3 - 3 + 11*v**5 + 4*v**5 + 5*v**5.\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggdggggdgggdgggdg. Give prob of sequence dddg.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 4*o + 96. Suppose -u - o + 111 = 0. What is the remainder when u is divided by ((-90)\/(-3) - 3)*(-3 - -4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(2299))**2 - (sqrt(133)\/(6*1*sqrt(7)))**2.\nAnswer: 331037\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2981)\/(-33) - (-12)\/(-9) is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*q + q. Find the third derivative of q*m**2 + 28*m - 28*m + 6*m**4 wrt m.\nAnswer: 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/21)\/(1\/(-7)). Suppose 0 = 2*k - u - 2. Solve 4*l - k + 0 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - 9*w**2 + 5*w + 5. Let p be h(4). Suppose 404 = p*z - 1747. List the prime factors of z.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 11*a**2 + 13*a - 2. Let l be v(-10). Let s = l + 59. Suppose s = -0*x + x. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*5*(-5)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 4. Suppose 4*m = l*t - t + 12, 2 = 2*m - 4*t. Let r be (1 - 2) + (-12)\/(-2). Solve 0 = -5*n - m, -3*h + 9 = -2*h - r*n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m = -3*m - 10*m + 340. Solve -15*h + j + m = -17*h, -h = -j + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 5*d**2 - 7*d - 9. Let x be k(-6). Let u be 3\/6*(-3 - x). Is u smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5541 - -2.\nAnswer: -5539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.3 - 6.3. Which is the second biggest value? (a) 2\/3 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**2 + 1945740*d + 315492012300 = 0. Calculate d.\nAnswer: -324290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 - 3. Let v(r) = -30*r**2. Give v(q(i)).\nAnswer: -270*i**4 - 540*i**2 - 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8760 = -3*t - 8775 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 2, -8666, -1, -19 in descending order.\nAnswer: 20, 2, -1, -19, -8666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 81\/45 - 1\/(-5). Suppose -n*u - 115 = -4*r + 273, 3*u + 5*r = -560. Is -1 + -1 - (-3 + u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**5 + 30*o**4 + 25*o**3.\nAnswer: 5*o**3*(o + 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -121021111110?\nAnswer: -121021111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 - m**3 + 342 + 250 + 6*m**2.\nAnswer: -3*m**3 + 6*m**2 + 592","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-330)*(-11)\/(-2))\/(2\/(-140)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4*y = 3, 5*w = 4*y - 9 - 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8+-1605.8\nAnswer: -1597.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 5:20 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 divided by 8?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -12524680 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -7. Let z = 6 + n. Suppose -4*g + 2 = w - 3, z*w = -g + 63. What is the highest common factor of w and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -811086, -811094, -811112, -811146, -811202, -811286, -811404, -811562?\nAnswer: -811766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 496, 979, 1450, 1903, 2332, 2731?\nAnswer: 3094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 + 222*u - 224 = 0. Calculate u.\nAnswer: -112, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/12503937 and -34?\nAnswer: 12503937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x = 20. Let s(a) = -3 + 0 + x - 132*a**2 + 116*a**2 + a. Calculate s(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) -9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -2, -1 in decreasing order.\nAnswer: 5, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11830529?\nAnswer: 263, 44983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 1:20 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5094 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -18. Let u(b) = -b**2 + 30*b - 16. What is the hundreds digit of u(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11602.6368538 - -0.06.\nAnswer: -11602.5768538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(12\/33)*-1. Let h = 0 + t. Let n(d) = d + 6. Is n(h) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3 = 0, -4*j = -3*a - 0*a + 6. Let u(r) be the second derivative of r**4 - 2*r. Does 16 divide u(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjfpa. Give prob of sequence hj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-2 + 4) - -2. Let g = h + -1. Let z be (-2)\/4*((3 - 1) + -6). Solve -z - 6 = g*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -4 (b) 13498 (c) 0.6 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**2 + v**2 + 2460*v - 920 - 2*v**2 - 2*v**2 - 893*v wrt v?\nAnswer: -4*v + 1567","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*d + 29*d + 73*d)*(-2*d - d**4 + 2*d).\nAnswer: -196*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1194\/99 - (-34)\/(-561)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -6*k + 3. Suppose -v - 10 - 50 = -k*f, 2*f + 4*v - 40 = 0. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/226, -0.11, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 577 (b) 1\/4 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 0 - (15 + -15). Suppose -u + 2 = c. What are the prime factors of (-16)\/(c + (-15)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1227.826t to kilograms.\nAnswer: 1227826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofooxloxxll. Give prob of picking 2 x and 2 o.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5*l*l**(5\/7)\/l*l assuming l is positive.\nAnswer: l**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 9:16 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 3}. What is prob of picking 1 m and 1 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -56 - 70. What is the highest common divisor of 462 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, u: 1, r: 2, t: 1, b: 1, o: 2}. Give prob of sequence tuoo.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**2 + 3*n**2 - 11*n**2)*(-2 - 4*n + 10*n - 8*n).\nAnswer: 4*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**5 - 7890*d**4 + 3031845*d**3 - 364652860*d**2 + 5361241380*d = 0.\nAnswer: 0, 17, 242, 1077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u - 15. Let f be k(-10). Suppose -f + 9 = -2*b. Solve 0*i + i = b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, -31, -96, -207, -376?\n\"Answer: -2*b**3 - 5*b**2 - 2*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67*d**2*k*x**2 - 135*d**2*k*x + 4*d*k**2*x**2 + 2*d*k**2*x wrt x?\nAnswer: -134*d**2*k + 8*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 7*g**2 + 8 + 0.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*g**2*s**3 + 13570*g*s**3 - 10*s**3 - 7*s**2 - 2759 wrt g?\nAnswer: -36*g*s**3 + 13570*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/3 + 22510658*l**2\/3 - 22510660*l\/3.\nAnswer: 2*l*(l - 1)*(l + 11255330)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 330843391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 308226, 308901, 309576?\nAnswer: 310251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - v + 1. Let w(s) = 7*s**3 + 15*s**2 - 19*s - 29. Let d(m) = 6*a(m) - w(m). Is d(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1547)\/(-91) + (-112)\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (sqrt(304) - sqrt(304)*-2*3))*-1 - (sqrt(2299) + 0 - sqrt(475)*-2)**2*-3.\nAnswer: 24*sqrt(19) + 25137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2366 + 2.3366. What is the third biggest value in i, 2\/3, 150, -3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258842?\nAnswer: 2, 17, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*v)*(3 - 3 + v**2) - v**3 + 3*v - 3*v - 6358*v**3 + 2858*v**3 - 9606*v**3 in the form a*v**3 + o*v + t*v**2 + b and give a.\nAnswer: -13105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 158192*k + 316040. Give m(-2).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/99962618 and 38\/17567.\nAnswer: 1099588798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-175)\/2 + (-2)\/4. Let p = z + 254. Suppose 0 = -2*j - 4*o + 62, o = 5*j - 0*j - p. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 2*j + 4. Let b(u) = 4*u**2 + u. Let t be b(-1). Let n be d(t). Let h(p) = -16*p**3 - p**2. Let f(i) = 3*i**3. Calculate n*f(x) - 2*h(x).\nAnswer: -x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*t + 7*t - 6*t)*(16 - 4 - 8) to the form v + h*t and give h.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -1. Let r = 5 + z. Let k = -45.3 + 45. Which is the third smallest value? (a) k (b) r (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -284\/63 + 30\/7. Suppose -4*j = -h + 5 - 2, 15 = 5*h - 2*j. Which is the closest to 1\/3? (a) -3 (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49.73, -3, 2, 1, 3, -1.6 in decreasing order.\nAnswer: 3, 2, 1, -1.6, -3, -49.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 1\/2, 13, -6\/5, -3\/10, 4\/5 in descending order.\nAnswer: 13, 4\/5, 1\/2, -3\/10, -6\/5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 296437598 to the power of 1\/2, to the nearest integer?\nAnswer: 17217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 48*v**2 - v - 106. Let i(l) = 46*l**2 - l - 106. Let o(f) = 4*i(f) - 5*x(f). Differentiate o(r) wrt r.\nAnswer: -112*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3 in -0.1, 0.4, 4, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 210\/75*-5 - -14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*a = -4, 5*a + 6 = 2*l - 0*l. Let u(v) = 1 + 49*v + 6 - 45*v - 2. What is u(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -965*n - 1920. Calculate w(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 140.3437 and 15081.\nAnswer: 15221.3437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 759218 = -4*i, i - 6*i + r = 949018. Let n = i + 2085789\/11. Let o = 187 + n. Is 0 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2240518 to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74.15 - -335.\nAnswer: 260.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 11 + 19. Suppose 18 = -4*f + j. Let i be (2 + f)\/(-1)*2. Solve t + 2*t + 2 = r, 2*t + 12 = -i*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - j - 109. Let o = -53 + 57. Suppose o*y - 84 = 3*a + 28, 4*y + 4*a = 112. What is the remainder when j is divided by y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 3*n + 2. Let u be q(-3). Suppose -134 = -u*b - 0*b - 2*d, 5*b + d - 323 = 0. Suppose -2*j = -c - 46, 6*c + b = 3*j + 2*c. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 316 - 316. Put x, 1\/2, -0.5, 9 in increasing order.\nAnswer: -0.5, x, 1\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.037 and 7.\nAnswer: 0.259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 i, and 1 x when four letters picked without replacement from {i: 2, y: 3, z: 3, x: 2, c: 3}?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 53034*l. Let i(b) = -434*b. What is p(i(t))?\nAnswer: -23016756*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 0*j**2 - 1\/6*j**4 + 0 - 8\/3*j**3 + 63*j. Factor o(z).\nAnswer: -2*z*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2057) + sqrt(17) + 1*sqrt(1700) + 5 + (-2*(sqrt(272) + 2) - (sqrt(272) - (sqrt(272) - (1*sqrt(272) + 2)))))**2.\nAnswer: 24*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {f: 3, g: 3, j: 6, x: 1, z: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p = 3*w + 778, 2833*w = -5*p + 2834*w + 243 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3)\/h*h)**(-36))**44*((h*h**(-2\/3))\/h**(-2\/11))**(-24) assuming h is positive.\nAnswer: h**(52136\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 35*g + 40*g + 3 = 0, -4*f = -g + 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44336821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**5 + 29*l**4 + 44*l**3 - 4*l**2 - 45*l - 23. Let z(c) = c**5 + 59*c**4 + 89*c**3 - 7*c**2 - 90*c - 47. Let d(g) = -5*m(g) + 2*z(g). Factor d(n).\nAnswer: -3*(n - 1)*(n + 1)**3*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 16.41. Let p = -1.59 + i. Which is the nearest to 1? (a) -3 (b) -24 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 345525 - -12?\nAnswer: 345541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 - 0.9. Let c = 6 + -6.4. Let j = f + c. Which is greater: j or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2885947351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 3518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -969 - -1433. Let u = 821 - p. Let b = 356.999781 - u. What is b rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 5. Suppose -4*n + 4*q = -5 - 23, -3*n = -q - 15. Suppose -r = o + 2*b, -6*o + n*o + 3 = b. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 4*t**2 + 71*t + 46. Give j(-5).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*v + 15 = 0, -12*o + 8*o - 2*v = 4. Let d = -314 - -14757\/47. Which is greater: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**5 - 75*f**2 + 193*f wrt f?\nAnswer: 60*f**3 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + 13*v + 896. Round v to the nearest 10.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(114))\/sqrt(2) - sqrt(57))\/sqrt(3).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -318703.99 to the nearest one hundred.\nAnswer: -318700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.32*-16.\nAnswer: -5.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(0 + 10\/5)*0. Suppose 3*r - 5*o - 65 = d, -4*r + 0*o = -o - 64. Solve -31*n - r = -28*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k = 3*h - 249, -2*h + 5*k - 72 + 105 = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 5*b + 0*b)*(-2 + 3 + 1)*(-48 + 14 - 19)*(2 - 12 + 1) in the form y*b + s and give y.\nAnswer: -3816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*q = 14*q - 11*q + 270 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2457150899?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1131276, 61, -4, 0 in increasing order.\nAnswer: -4, 0, 61, 1131276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010828202 rounded to six dps?\nAnswer: -0.001083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-1)\/2*3\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*10\/(-75) + (-167)\/(-5). Suppose a = 3*r + 12. Suppose 711 = 4*k + 3*g, -r*g + 729 = 4*k - 10*g. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 333*b**2 - 18308*b - 372. Determine f(55).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 29 = 5*z. Let n be 5 + z + (-22)\/(-2). Let y be n\/2 - (7 + -6). Solve f - 3 = -y*h + 5*h, 1 = -3*f - h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, i: 1, t: 1, p: 2}. What is prob of picking 2 q and 1 i?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/67? (a) -32 (b) 4\/7 (c) 1 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2030*s - 1637. What is the hundreds digit of g(20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*k = -10, 10*k = f + 8*k - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + ((1*sqrt(76)*-1 - (sqrt(76) - sqrt(76)*-1)*4) + sqrt(76) + sqrt(76)*2 + 4 + -3 + sqrt(76) + 0)**2.\nAnswer: -20*sqrt(19) + 1898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28503 - 3192391\/112. Find the common denominator of ((-110)\/(-8))\/((-3150)\/(-396)) and l.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 2\/9 (c) -1072 (d) -1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1407 (base 9) to base 15\nAnswer: -4aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**3 - 3*r**3 - 4*r**3 + (-11*r + 6*r - 9*r)*(-2*r**2 + 3*r - 3*r) + (2*r**2 - 4 + 4)*(-r - r + r).\nAnswer: 25*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -20*f - 15. Let l be g(-2). Suppose -l*q = -21*q - 112. Let t(v) = 4*v**2 + 6*v + 2. What is the remainder when t(-6) is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 12. Let f(c) = -4*c**2 + 5*c + 3*c**2 - 1 + 0*c**2 + 2. Determine f(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-14) - 2\/((-28)\/(-6)). Suppose i + 2 = -2*i - 2*b, i + 18 = -5*b. Suppose -3*j = -t*x - i*x - 308, 112 = j - 3*x. Does 25 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347*q - 34238 = -364*q. List the prime factors of q.\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26330, -26259, -26170, -26063?\n\"Answer: 9*y**2 + 44*y - 26383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -15. What is the common denominator of 4\/(-14) - (-150)\/(-28) and -1 - (3 + 123\/b)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 3*k = 5*k - 498202. List the prime factors of k.\nAnswer: 2, 14653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/10*(102\/119)\/(306\/70)\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7626247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11280 and 705?\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337778 is divided by 112591.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by -10\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 613064, 613076, 613088, 613100?\nAnswer: 613112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -0.4 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20437110?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 2. Let u be (280\/525)\/(8\/(-60)). Let q(v) = -v. Let s be q(-5). Sort u, -3, s, d.\nAnswer: u, -3, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1339.2157 to the nearest 10.\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 20. Let v(l) = -2 + 0 - p - 7*l + 4. What is the units digit of v(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/15 + 4\/3. Let i = 0 + a. Let z(c) = -5*c**i + 0*c**2 + 3*c**2. Let s(x) = x. Give s(z(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1617 + -511?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - -6. Suppose -3*n = n - m. Solve -10 = -5*b, -n*b + 10 = -s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8069, -7957, -7827, -7679, -7513?\nAnswer: -7329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*c - 5*t - 29 = 101*c, -4*c + 3 = t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 383 = 20*c, 12709*a = 12704*a + 2*c - 33 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -323*l**3 - l**2 - 2*l - 29. Is d(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - -1. Let h = p - 0.7. Let u = -0.17 + -0.13. Which is the biggest value? (a) h (b) -2\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 10*t**2 + 11*t - 13. Let d(k) = 82*k - 73. Let q be d(1). Calculate j(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 124359 or 124324?\nAnswer: 124359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and 5732?\nAnswer: -7451.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**5 - 202*h**4 - 11424*h**3 - 144000*h**2 = 0.\nAnswer: -24, 0, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q. Let r(x) be the first derivative of -2*x**2 + 10. Calculate 7*p(z) + 2*r(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {b: 1, u: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25*(-12)\/(-45)*6. Suppose -2*s = -k - j, -5*s - 5*k + 44 + 41 = 0. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((3 - (-1 - -2)) + -3 - -4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-255)\/560)\/((-2)\/8) and 45\/52.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15642059?\nAnswer: 15642059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11011012102210 (base 3) to base 5\nAnswer: -1031132314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1434\/(-64) - 141\/1504.\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from nuiuiiiuuu?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.8285063 days?\nAnswer: 1193.049072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -145 * -223.88.\nAnswer: 32462.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52940.112 + -53223. Let o = 284 + w. Let i = o - 1.23. What is i rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 2*x**2 - 2*x - 3. Let q be (-153)\/(-34)*4*(-2)\/(-12). Let c be n(q). Suppose -h + c + 7 = 0. What is the highest common factor of h and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -151*c**3*p**3*t - 7*c**3*p*t - 3*c**3*t + 27*c**2*p**3 + c**2*p**2*t + 4*c**2*p*t + 16*c**2 + 1 wrt c.\nAnswer: -906*p**3*t - 42*p*t - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51822737*u**3*v + u**3 - 31430609*u**2 wrt v?\nAnswer: -51822737*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 0. Let p = 4 + j. Suppose 4*d - 5*c = -5, -4*c - c + 5 = p. Is d less than -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -12*p**7\/7 + 8*p**3\/3 - 8. What is the third derivative of m(h) wrt h?\nAnswer: -1440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1550922212 to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -606\nAnswer: -12.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 m, and 1 c when four letters picked without replacement from teezimimmciizt.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9171717.2 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3174437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/10 and (10 - 13) + 254\/160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + j = -t - 2, 4*t + j = -2. Suppose 0 = n - t*n. Solve a**2 - 1 + n*a**2 + a - 1 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 355*w**3 - 5*w**2 + 11594*w - 3.\nAnswer: 2130*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.9167 rounded to one decimal place?\nAnswer: 30.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = -12*r. Let a(s) = 11*s + 11. Let u be a(r). Solve u*v = -4*v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31111 - 4?\nAnswer: -31115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4\/3 - 4138574*x**3\/3 - 1427314849931*x**2 + 8563901515312*x\/3 - 4281952826944\/3 = 0.\nAnswer: -2069288, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29398047.\nAnswer: 3, 7, 71, 19717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7702309?\nAnswer: 17, 23, 19699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/30)\/(((-78)\/(-120))\/13)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 u when three letters picked without replacement from {s: 1, r: 12, u: 5, v: 1}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3\/7 - 112904*r**2\/7 + 790060*r\/7 + 2031768\/7 = 0 for r.\nAnswer: -2, 9, 28219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 838 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2571.002902 - -2571. What is t rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3058.4273 - -3090.28. Let v = l - -0.0473. What is v rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181 + 3975*v**2 + 3987*v**2 - 7966*v**2.\nAnswer: -4*v**2 + 181","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*1.556\nAnswer: -0.6224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 63. Let z(u) = -2*u + 26 + 32 + 6*u + 7*u - u. Calculate the least common multiple of z(-4) and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/22 and 63\/2233165.\nAnswer: 4466330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 40 + 4 - 2*r)*(4*r**3 - 4*r**3 + r**3).\nAnswer: -2*r**4 + 29*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*v + 4*a + 47 = -137*v, 0 = -5*v + 3*a - 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4512224 and 13536672.\nAnswer: 13536672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q + 1526*q**4 - 1528*q**4 - 9 - 2*q**2 - 2*q**3 + q to x*q**2 + f*q**4 + y + m*q + j*q**3 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - 4*(-6)\/(-12). Is 28 a factor of i - -193*(8 + -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 116*n - 3241. Let t(q) = 10*q. Determine f(t(u)).\nAnswer: 1160*u - 3241","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -151\/4 - -38. Let z = 105 - 1154\/11. Put u, -3, z in decreasing order.\nAnswer: u, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a - a)*(43*a**3 + 33*a**3 - 50*a**3) + 140*a**4 + 6*a - 6*a.\nAnswer: 166*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**5\/240 - k**4\/48 - k**3\/8 + 2*k**2 + 23. What is o in p(o) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + h - 17, f - 20*h + 21*h + 3 = 0. Let b(k) = 3*k**3 + 1 + 4*k**2 + 2*k**3 + 0 - 4*k**3 - 3*k. Give b(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/6687772 and 33\/13832?\nAnswer: 13375544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4 + -1.3. What is the third biggest value in 1, -31\/5, d?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6140131 and 1967?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(5 + -5 + (sqrt(176)*3)**2 + (sqrt(176) + sqrt(176)*-4 + 0 + sqrt(176))**2)*-5.\nAnswer: 102960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 17. Let c = 39 - 7. Let y be l(c). Solve 4*o + 40 = -5*b, o + 3*b + y = -2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(27*(-45)\/(-1215))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 70416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 7:02 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -371 by -6.\nAnswer: 371\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 20 = 0, -2*h - 1177 = -3*j + 2289. Let c = 4358 + h. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -88 - (-20 + -50 + -67)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 0 + 1 + sqrt(1008))**2 + (sqrt(14)*-2)\/sqrt(2)*-4 + 0 + 3.\nAnswer: 40*sqrt(7) + 1796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 233181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150557\/15 - 10037. What is the closest to 1\/3 in 0.5, -5, -4, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5 = -5*b - 3, -b - 24 = 5*z. Let h be (34\/b)\/(6\/96). Let s = -54 - h. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -3\/92 (b) 6 (c) -0.4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15759 divided by -4\nAnswer: 15759\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 254.65 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/89132833 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**3 + 2*b**3 + 163*b + 2 - 13*b**2 + 89*b**2.\nAnswer: 14*b**3 + 76*b**2 + 163*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04791 - -0.04791. Which is the closest to -3? (a) o (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 143*c + 157. Is 81 a factor of w(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*k - 313, 0 = -3*c - 2*c + 4*k + 1583. Suppose -6*j - 97 = -c. Suppose 47 = 6*x - j. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 327, -388, -1, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 - 2*g - 3. Let k be i(-1). Let v = 149 - 138. Suppose -4*p + 3*q = v, 2*q - k = -0*q. Let u(j) = 4*j + 2. Calculate u(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 198?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 35 = -5*c, -5*o = 20 - 0. Suppose 13*g - 10 = 2*x + 15*g, -4*x + g = -15. Solve 0 = v - c*v - x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 7.9. Let g = -4.1 - q. Let s = 9.3 - 9. Which is the second biggest value? (a) 4 (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -16 + 10 + 1, 0 = w + 10*c + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -126*k + 496. What is the units digit of d(-37)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6398.078 weeks to milliseconds.\nAnswer: 3869557574400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61381*r**4*x**2 - 52*r**2*x**3 - 6*r*x**2 - 6041*r - 30*x**3 wrt r.\nAnswer: 736572*r**2*x**2 - 104*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0577 + 36.1577. Round c to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*v + 62*v - 87*v - 159 + 52 + 107.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, r: 2, n: 4, l: 1}. What is prob of picking 1 r and 2 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 2180?\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/(3\/9). Let t be (2\/(-2))\/(0 + m). Let c(q) = q**3 - 15*q + 7*q - 36 + 36 + 7*q. What is c(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -146101*d - 233188?\nAnswer: -146101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(3) - (sqrt(3) + sqrt(48))*6) + 4.\nAnswer: -sqrt(7)\/29 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 3)\/((-16)\/(-40)). Suppose -3*y = -4*p - l, 0 = 2*p + p - 5*y + 12. Suppose p = -x, -3*m = -0*m + 3*x - 27. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 + 20*f + 250.\nAnswer: 2*(f + 25)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 3*u**5\/7 + 3*u**4\/4 + 2*u**3\/7 + 43. Find z, given that l(z) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l**5\/13 + 10*l**4\/13 - 50*l**3\/13 - 90*l**2\/13 - 36*l\/13 = 0.\nAnswer: -3, -1, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -37*t**3 + 6*t**2 + 3*t - 7. Suppose -15*r - 18 = 27. What is the tens digit of c(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2222022201001200 - -11?\nAnswer: 2222022201001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 - (63 + -74)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + sqrt(684) + 1)**2*-1.\nAnswer: -705 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.6, -350, -9\/10, 5, 1, 2\/5, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**3 + u**2 - 4*u - 4. Determine n(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 7:47 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thhht. What is prob of picking 3 h and 1 t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**3\/6 + 3*h**2 + h. Let n be j(0). Is 675\/6 + 3\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 1\/12*i**3 + 0*i**2 - 1\/72*i**4 + 0 + 79*i. Factor n(u).\nAnswer: -u*(u - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12021, 4445, 20913, 37383, 53855, 70329, 86805?\n\"Answer: w**2 + 16463*w - 28485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/7 (b) 2 (c) 1 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -2*b + 25 - 1, 3*b - 4*i + 14 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402, -807, -1224, -1653, -2094, -2547?\nAnswer: -3012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1259 and 11?\nAnswer: -13849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -26.9994. Round j to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/(-19))\/(-6))\/(4\/2).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 4*o**2 - o - 1. Let x be a(-4). Suppose 0 = 5*j - 0*b + 4*b - 41, -15 = j - 5*b. Let d = 5 - j. Solve -3*t = x - d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -627.4 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -6. Suppose -m = -2*h + 6. Let o(n) = -2*n + 3. Let l(s) = -7*s + 11. What is h*l(x) - 22*o(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*a - 841 - 2639. Let x = a - -160. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 12*d**2 - 3. Let h = 28 - 40. Let v be a(h). What is the units digit of 3\/(-9) - 178\/v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -167, -6, 4, -8 in ascending order.\nAnswer: -167, -8, -6, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.05496 nanograms in micrograms?\nAnswer: 0.00505496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26400 divided by 2640?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 539710 and 2970146?\nAnswer: 3482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1525)\/195*(-15)\/8. Let b = t + -121\/8. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6 - 4 = 0. Suppose -m*k - 3*i + 6 = 3, 4*i - 4 = 5*k. Is 32 - ((-1 - k) + 2) 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 3505914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3332 = -4*c, 0 = 5*w - 3*c - 293 - 8037. What is the greatest common divisor of w and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: (15*1)\/(0 - 212\/265 - (-7)\/15)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/2660 - -1143\/2660. Let m = 1.9 + -1.1. What is the nearest to m in -0.1, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*h**6 - 175865*h**4 - 16*h**3 - 129*h**2 - 2*h - 20319?\nAnswer: 1800*h**3 - 4220760*h - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78.3 + -78. What is the smallest value in 0, 16, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*h - 6*m + 4*m, -2*m + 8 = 0. Is -3 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*j = -122*j - 12, -2*t + 3*j = 1. Sort -2, -5, 14, 0, t in decreasing order.\nAnswer: 14, t, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 263*d**4\/8 + 131*d**3 - 57*d**2. What is the derivative of y(v) wrt v?\nAnswer: 789","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.74 in 0, 4, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*260\/(-676)*-13\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 5:58 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*x + 32*x + 3*g - 6, -3*x - 5*g + 10 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + (sqrt(243) - (sqrt(243)*1 + 2)) + sqrt(243))**2.\nAnswer: -72*sqrt(3) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 - -14. Calculate the remainder when j is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - 252\/(-18))\/68\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -6*l - 1134, 3*g = 5*l + 579 + 275. Calculate the remainder when 1647 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 + 8)*(45 - -5). Let t be -52 + (-6 - x\/5). Let m(v) = -17*v**3. Let w(k) = -162*k**3. Determine t*m(s) + 5*w(s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*p**3 - 3*p - 4*p**2 - 4*p**2 + 8*p**2.\nAnswer: 34*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 1:20 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**7*(w\/(w*w**(-5))*w*w)\/w)\/(w**(-2\/7)*w*w\/((w\/(w*(w*w*(w**(1\/6)\/w)\/w*w)\/w*w)*w)\/w*w)) assuming w is positive.\nAnswer: w**(509\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-4 + -7)) + -3 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -391*r - 14. Give k(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284119734 to the power of 1\/2, to the nearest integer?\nAnswer: 35835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 30 and -25.3.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/21 - 332\/6. Let t(c) = -5*c**5 + 4*c**4 - 5*c**3 + 6. Let h(u) = -45*u**5 + 35*u**4 - 45*u**3 + 55. Let g(m) = n*t(m) + 6*h(m). Factor g(j).\nAnswer: 5*j**3*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 4, -344, -11, 53, 0 in ascending order.\nAnswer: -344, -11, -4, 0, 1, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + 11 - (54 + -50).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/(4433\/104))\/((-8)\/352).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 315 - 272 = 0. Let c(p) = 11*p**2 + p + 1. What is the remainder when d is divided by c(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -88553*q + 723234 wrt q.\nAnswer: -88553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from slslssyfsb.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - (28 + -30) - (-27 + -10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5094 - 30665\/6. Find the common denominator of j and (-6)\/(-45) + (-141)\/1170.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 7*d = 9. Let n = d - -5. What is the third derivative of n*v**2 - 5*v**2 + v**4 + v**2 wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -430 + 424. What is the remainder when 3 + 88 + 2 + i is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 3*w**2 + 12*w + 23. What is n(-5)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 6\/7*b + 2\/7*b**4 - 6\/7*b**3 - 4\/7 + 2\/7*b**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11622 - -11621.6. Which is the biggest value? (a) 1\/7 (b) -5 (c) -9\/17 (d) u (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 6*y**2 - 6*y + 36. Determine z(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 12*p**2 - 45*p + 5. Let r be y(-15). Factor 3*m**r + 10*m**3 - 5*m**5 + 8*m**3.\nAnswer: -2*m**3*(m - 3)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 14*i - 6 = 13*i, -2 = y + 3*i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 1\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 10*w - 96. Let n be (-58)\/w + (5 + -6 - -5). Let p = 0 + 0. Which is bigger: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2.6. Let g = o - 0.3. Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16204 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(756))\/sqrt(7).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 7891194?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*n**3 - 530*n**2 - 10598*n - 59588553 wrt n.\nAnswer: -9*n**2 - 1060*n - 10598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2 + 1\/2*s**4 - 2*s**2 - 7\/4*s + 1\/4*s**5 - 1\/2*s**3 = 0. Calculate s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*r + 4*m + 22, r = -3*m + 11. Let u(a) = a**2 - 7*a - 20. Let w be u(r). Suppose -w*x = -23*x - 45. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21046 + 21046.4. Which is the nearest to -7\/6? (a) -0.1 (b) -2 (c) 21 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1727264 rounded to 1 dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1435410 (base 6) to base 8.\nAnswer: 241676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.517 - -0.787. What is r rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2729695, 2729650, 2729605?\nAnswer: 2729560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1452113883?\nAnswer: 3, 11, 73, 200929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(3) + (sqrt(108) + (sqrt(108)*2)**2 - sqrt(3)))*2 - sqrt(21)\/sqrt(63)*-3)*3.\nAnswer: 156*sqrt(3) + 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6329\/9 - -703. Sort 5, q, -0.13 in increasing order.\nAnswer: q, -0.13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*i = 10*i - 72 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -9*u**2 + 4*u. Let p = -207 + 203. Let z(x) = 9*x**2 - 3*x. Calculate p*z(b) - 3*k(b).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*o - 2*d - 468 = 0, 2*d + 17 - 1 = -4*o - 4 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 1 + 171*s**4 - 2 + 2*s**2 - 57*s**3 - 172*s**4 in the form m*s**3 + n + j*s + x*s**4 + b*s**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 8. Let d be 10*(r + 3\/(-6)). Find the second derivative of 3*f**5 - 3*f**d + f + f**5 wrt f.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 866, 1\/80, -42 in decreasing order.\nAnswer: 866, 1\/80, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1558530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**4\/12 + 458*a**3\/3 + 89*a - 2. Let u(q) = -q. Calculate x(u(v)).\nAnswer: v**2 - 916*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + n + n)*(4*n - 6*n + 4*n) + (3*n**2 - 2*n**2 - 3*n**2)*(-1 - 2 + 2) as b*n**2 + w + f*n and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 91055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(40\/55) + 13. Solve -m*p + 5*z - 1 = 2, 3*z = -3*p - 15 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*t + 3*t = -12, 5*n - 31 = -2*t. Suppose 14 = d - 5*m, m - n*m = -3*d + 9. Put d, -8, 0 in decreasing order.\nAnswer: 0, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 159*c**3 - 117*c + 228. What is o(2)?\nAnswer: 1266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 1223780.\nAnswer: 8566460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*r - 258*r + 12 + 448 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Which is the nearest to o? (a) -5 (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 982, 1911, 2766, 3541, 4230, 4827?\n\"Answer: -p**3 - 31*p**2 + 1029*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3927\/23 + 171. Is w < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -87 in -0.03, -0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5163, -10554, -16125, -21876, -27807?\nAnswer: -33918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.1, 735902 in decreasing order.\nAnswer: 735902, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409072*i**2 + 409061*i**2 + 476 - 476.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, -1.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 0*s + 1\/2*s**2 - 174. Let v(q) = 6*q**2. Determine h(v(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -657\/34 and -18 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + b - 6*b + 5*b to the form h + u*b and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*x + 70 = 0, -4*c - 2*x + 42 = -34. Solve -6*f - c = 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - (sqrt(91) - (sqrt(91) + sqrt(91)*1)*-5))\/(sqrt(7) - (sqrt(7) + 2*sqrt(448))).\nAnswer: 5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15246 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2 + 47*b - 9. Let h(u) = 17*u**2 - 237*u + 48. Determine 2*h(q) + 11*r(q).\nAnswer: q**2 + 43*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**3 + 20344*m**2 + 81328*m + 81312 = 0.\nAnswer: -5082, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 5*t**4\/12 + 5*t**3\/3 - 61*t**2. Let i(v) = v + 2. Let f(o) = -5*i(o) + x(o). Let n(b) = -15*b. What is n(f(y))?\nAnswer: -75*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 145523700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/39703647 and -93\/2?\nAnswer: 79407294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0739 + -0.06881. Round d to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 74.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 19 + 10 + 9.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**8\/1176 + 2*i**7\/105 + 5*i**6\/84 + 2*i**5\/35 + 471*i**2. What is y in n(y) = 0?\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/7)\/(6 - (-41)\/(-7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/187179290 and -11\/130211680.\nAnswer: 2994868640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 22 = -4*g + 4*a, 4*a - 62 = -5*g. Let k(i) = -i**3 + 9*i**2 + 12*i + 9. Calculate k(g).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (-7 + 19).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51*h**2 + 576*h + 116 - 12 - 576*h wrt h?\nAnswer: -102*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-320)\/25)\/(4\/(-10)). Let z = -670 + 726. What is the highest common divisor of z and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.695 and -3?\nAnswer: -2.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.5 + -22. Let x = -0.1 + -0.4. Let d = x + l. Which is the second biggest value? (a) d (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -66*(-10)\/60?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t - 10. Let q = 174 + -169. Suppose 29*a = q*a + 72. What is the third biggest value in t, a, -7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)\/m**13*(m**5\/m*m)**(1\/44))**(-33) assuming m is positive.\nAnswer: m**(2625\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 50 * 5\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = w + 5. What is the common denominator of 139\/84 and w\/16 + (-7)\/7?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.964901+2433534\nAnswer: 2433536.964901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 87769 + 24427. List the prime factors of z.\nAnswer: 2, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 4. Let d(n) = -n + 1. Let i(z) = 2*z**3 - z**2 - z + 1. Calculate the lowest common multiple of i(1) and d(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 481*i + 3*o - 87 = 478*i, 5*o = 4*i - 53. Suppose -5*u + 2742 = -4*v, 1098 = 4*u - 2*u - v. What is the highest common divisor of i and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-10))\/((-2)\/5). Let d be 15\/7 + (-2)\/14. Suppose u - 4*u + 15 = d*o, 3*o = -u + 5. Which is the nearest to o? (a) 2 (b) i (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 11:13 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 564659 to the power of 1\/2, to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 4. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-276)\/(-506))\/((-3)\/(-33)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2570 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-174)\/(-4) - 1\/((-6)\/9). List the prime factors of (c\/10 - 2)*52.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, 2\/53, -1\/4, 2, 0.2198?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4374247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/224796 and 79\/429156.\nAnswer: 4720716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {v: 5, f: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -622.\nAnswer: 1\/622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1197389\/6118 + -9\/6118. Let d = 196 - u. Put 1, -3, d, 3\/2 in descending order.\nAnswer: 3\/2, 1, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 14 = q, 2*t - 5*q - 38 = -2*q. Suppose 137*r - 440 = 257*r - 142*r. What is the smallest common multiple of t and r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 5656?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -0.2, 4.1993, 0?\nAnswer: 4.1993","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -11. Calculate the remainder when 8 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3508559 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1253800 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1190790 + -23\nAnswer: -1190813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 22*o + 10. Suppose 2*t + 0*t = 3*q - 10, 0 = -t + 5*q - 19. Let s(j) = 5*j - 2. Let m be s(t). What is the tens digit of u(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2260 - 860. What is the greatest common factor of g and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -6\/5 (b) 0.1 (c) 1 (d) 2\/3 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -76. Let a = -101 - f. Let q = a + 76. Which is bigger: -0.02 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1866082, 3731826, 5597570, 7463314, 9329058?\nAnswer: 11194802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 1, h: 1, k: 2, o: 1, x: 1}. Give prob of picking 1 w and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, c: 2}. Give prob of sequence cy.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91302?\nAnswer: 2, 3, 15217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085885680 rounded to the nearest 100000?\nAnswer: 1085900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:43 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**8\/112 + 19*x**6\/40 + x**5\/10 - 65*x**4\/4 - 7*x**2 - 2*x - 1. Find the second derivative of u(a) wrt a.\nAnswer: -60*a**3 + 342*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 1014511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 2*r + 3. Let a(m) = -9*m**2 - 9*m - 13. What is -6*a(t) - 26*g(t)?\nAnswer: 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzaczaczawyz. Give prob of sequence zzwy.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 1062\/15*(0 + (-10)\/(-3))?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13087673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3 = 2951*j - 2956*j, 5*j + 9 = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -306 < -219386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 - 3*l**4 + l**4 + (4*l**2 - 4*l**2 + 3*l**2)*(-3 + 2*l**2 + 3) + (l - 2*l + 3*l)*(-2*l**3 + l**3 + 2*l**3) + 4*l - 4*l + 2*l**4.\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06321 + -32197029.\nAnswer: -32197028.93679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 61*m. Suppose 0 = 20*s - 91 - 9. Let n(f) = 336*f. Give s*n(y) - 28*h(y).\nAnswer: -28*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/6)*b)**28\/(((b*b\/(b**(-6)\/b))\/b)\/b**(-10\/9)) assuming b is positive.\nAnswer: b**(212\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5506 + 5980. Solve -c + o - 480 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*p - 4. Let l(i) = -i**2 - 12*i + 1. What are the prime factors of l(p)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from ljljplcil.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 107083 rounded to the nearest one thousand?\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 153 = 6*d. Suppose -4*z + 66 = -54. Calculate the remainder when z is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41*a - 752 + 752)*(a**2 + 6*a - 3*a - 8*a)*(87 + 5*a - 87 + 22*a) in the form y*a**4 + n*a + z*a**3 + p + w*a**2 and give y.\nAnswer: -1107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 36 = -2*v, v - 26 = 5*r + 1. Let j = -2 + v. What is the remainder when 134\/5 + 3\/15 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 * 1.223\nAnswer: 15.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7024645 (base 9) in base 3?\nAnswer: 21000211201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 347595?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35151641 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 336*n**3 - 25*n**2 + 39*n + 51. Is v(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 - -14.17. Let z = -4 + h. Let u be (-264)\/(-77) + -4*(-1)\/7. Put z, -0.2, u in ascending order.\nAnswer: -0.2, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttitittitt. Give prob of picking 2 t and 2 i.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.075 + 0.125. Which is the second smallest value? (a) -3\/7 (b) j (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 43.29543 weeks?\nAnswer: 7273.63224","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/9 + 2\/6. Let v(d) = 3. Let g(x) = 16. Let b(l) = o*g(l) + 11*v(l). Let n(r) = 2*r + 6. What is -4*b(y) + n(y)?\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/275*(-26)\/((-3432)\/(-495))\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/743 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 c when four letters picked without replacement from aacaacaaccclacaclaaa?\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*i**(-2\/5)*i*i*i*i**(2\/9)\/(i*i\/(((((i*i**(-6)*i)\/i)\/i)\/i)\/i)))**50 assuming i is positive.\nAnswer: i**(-1880\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**2 - 8*k + 16. What is h(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 446625686 to the power of 1\/3, to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 503247 + 1141*a**2 - 503247.\nAnswer: 1141*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, b: 1, v: 5}. What is prob of sequence vv?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (25\/(-15))\/((-2)\/6). Let y(h) = 0*h - o + 0 + 3*h. Suppose 4*x - 30 = 5*m, 2*x + 4*m = m + 4. Let z(s) = 2*s - 4. Calculate x*z(c) - 4*y(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -21*z**2 + 17*z + 18. Calculate c(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 12. Let x = d - 9. Is -5 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-152)\/(-133))\/(4\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 + -104. Suppose o*h = -3*y - 2, 2*y - 3*h - 5 = 2*h. Put y, 14, 3 in descending order.\nAnswer: 14, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84433 = -152*x + 439809. Calculate the highest common divisor of 154 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/4, 8, 0.5, -1, -1\/3, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6580 (base 16) to base 9\nAnswer: 38571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 118 + 0*r**2 + 1\/3*r**3 + 0*r. Let u(o) = 14*o**2 + 2*o. What is u(c(j))?\nAnswer: 14*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + f - 21 = -7, -73*g + 72*g = 4*f - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 = 6. Let z be -2*9\/u + 45. What are the prime factors of z\/(-56)*48\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 527633755?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 7724.997 to 0 decimal places.\nAnswer: 7725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3436?\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u + 41*u - 1644 = 0. Let h be (-50)\/(-18) - 16\/(-72). Suppose 0*a + 2*a = h*k - u, -a = -5*k + 1363. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/1435150 and 59\/114812.\nAnswer: 2870300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 187, 276, 185, -176, -897?\n\"Answer: -15*b**3 + 194*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -30.7, 4, -5, 5, -2\/3, -0.1 in ascending order.\nAnswer: -30.7, -5, -2\/3, -0.1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8408\/104 - 4 - 4\/(-26). What is the third derivative of k*z**2 - 5*z**3 + 21*z**2 + 4*z**3 - 4481*z**5 + 4459*z**5 wrt z?\nAnswer: -1320*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.01 - 0.39. Let l = -5 - g. Let r = 0 + l. Which is the third smallest value? (a) r (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 3*b**2 - 2*b - 1. Let c = 5 + -2. Let o = 3 + c. Let y be 2 - (-8)\/o*-3. What is g(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q + 4220 - 4201 = -a + 21*q, 12*q = 3*a - 63 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Suppose 12 = 2*r + u*r + 4*i, 0 = 2*r - 2*i + 2. Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756095 is divided by 251771.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -187188*k**2 + 2433441*k + 40. What is o(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**3 + 1556*o - 769*o + o**4 - 2 - 771*o in the form i*o**3 + w*o**2 + v*o**4 + b*o + g and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/(11844\/(-72))*-5.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0059 - 26.6941. Let b = c - -27.2. What is the closest to 0 in 5\/7, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 99 = -0*w + 468*f - 460*f, -5*f + 15 = 0 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9502 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w + 5. Let u = -12 - -6. Let a(m) be the first derivative of -5*m**2 - 6*m - 1061. What is u*g(q) - 5*a(q)?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6369\/25 + -255. What is the second biggest value in 0.5, -1\/4, s, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550239743?\nAnswer: 7523, 73141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9122 - 0.2008. Let a = 5864 + -5869.217. Let x = l + a. What is x rounded to 1 dp?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27505, 27503, 27501, 27499?\nAnswer: 27497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 9*k - 30 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(0 + -2 - 35\/(-17)). Calculate the greatest common factor of 119 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 5, 71220 in increasing order.\nAnswer: 5, 19, 71220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -558, -1373, -2194, -3021, -3854, -4693, -5538?\n\"Answer: -3*c**2 - 806*c + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**3\/z)\/z)**(-2\/105))**(-17\/4) assuming z is positive.\nAnswer: z**(17\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377397 = -3*g + 3*s - 6*s, s = 4*g - 503186. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 times -0.12062727?\nAnswer: -0.0144752724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/21439 and -5\/16607429.\nAnswer: 182681719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**6 + 142332413*l**4 - 12026257*l**2 + 9*l wrt l?\nAnswer: 240*l**3 + 3415977912*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*k = -85*k - 120 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.06 take away 0.104898?\nAnswer: 44.955102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*r = -96, -z + r + 10 = -3*r. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 2 - 6)*(2*q - 3*q + 2*q)*(6*q + 3*q - 5*q).\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4717 plus 27.560684?\nAnswer: -4689.439316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - (-16 + 276))*(-32)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 267\/7153 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 9*s**2 + 11*s + 15. Let g be u(-8). What is the tens digit of (-618)\/g - 2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:54 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q + 4*q - 4*q - 2*q - 1 + 1 + (-3*q - 2*q + 4*q)*(-2 + 1 + 0) + 2 - 3*q - 2 - 3*q + 2*q + 2*q - 1 + 1 + q to m + l*q and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1708, 4, -8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 14) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - -5*sqrt(28))*-5 + sqrt(28))\/sqrt(4).\nAnswer: -29*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 20*m + 83, -5*m + 3*y - 47 = y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -73, -165, -293?\n\"Answer: -18*b**2 - 2*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three sixths of a hour?\nAnswer: 230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34\/5 of a millennium?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.848 + -1780776\nAnswer: -1780776.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 a factor of 182934500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100011111000000010111100101 - -11?\nAnswer: -11100011111000000010111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 + 101. Does 22 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 0) + 2*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -2, 113, -3 in decreasing order.\nAnswer: 113, -2, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/216 and -39\/3512.\nAnswer: 94824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4.0969341us?\nAnswer: 0.00000000113803725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + d**2 - d - 1. Let p be o(-1). Let i = -0.37 + 0.77. Sort i, -0.4, p in descending order.\nAnswer: i, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - -80.6. Let f = -9 + w. Put 1\/9, f, -2 in ascending order.\nAnswer: -2, f, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 4*q**2 + 8*q + 4. Let s be r(-5). Let o be ((-15)\/(-45))\/(1\/s). Suppose n = 5*h - 209, -58 = -3*h + 5*n + o. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 1\/228 (b) -4 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66, 240, 518, 900, 1386, 1976?\n\"Answer: 52*a**2 + 18*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**2 - 10*s. Let f(x) = x**2. Let v(a) = -6*f(a) + g(a). Let c be v(-10). Suppose 5*b = 2*r - 19, -r + 2 = -4*b + 3*b. Sort -2, c, b.\nAnswer: b, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 12:32 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005675888 to 7 dps.\nAnswer: -0.0005676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8*k**3 + 6*k**2 - 8*k - 5. Let r be a(3). Suppose -6*x + 799 = r. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*t + 8, -2*m = -4*t - m - 9. Let f be 0\/(-4) + 1 + 1. Sort f, 3, t in descending order.\nAnswer: 3, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - z + 4. Let m(o) = 65*o - 22. Let l be m(-3). Let j = l - -217. Give u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 18 - 226*k - 63*k - 8 - 188*k as v + u*k and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 887915\/69 - 4\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 726\/(-264)*1\/(-11). What is the fifth biggest value in -3, -1\/6, q, -1\/13, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*((-138)\/126 - (-6)\/14). Let r be 1\/1 - (29\/(-1) + v). Calculate the highest common divisor of 4 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*x + 184 = 0, -83 = 2*s + 4*x - 5*x. What is the common denominator of s and -145\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(7\/6))**(2\/7)*(p\/(p\/(p\/p**(-17))))\/(p*p**21*p) assuming p is positive.\nAnswer: p**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 12. Suppose 0*l + p*l = 0. Suppose -2*s = 3*a - 7*s - 182, l = -2*a + s + 112. Calculate the highest common divisor of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29.5*1.01\nAnswer: 29.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4 - 22) + 28 + 74\/(-16) and 2\/(-4)*(-5)\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 30, 2388.4, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4998629 is divided by 93.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20573156 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -4, 5, 1, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -69. Let h(z) = z**3 - 32*z**2 + 50*z - 8. Is h(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2114523 (base 7) in base 16?\nAnswer: 3e88c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9678607 millilitres?\nAnswer: 0.0009678607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a. Suppose 5*n - 15 = -5*i, 4*n + 1 = 3*i - n. Let g be ((-11)\/22)\/(i\/(-4)). Calculate d(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1555244, -3110487, -4665730, -6220973, -7776216, -9331459?\nAnswer: -10886702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**5 + x**4 + 0*x**5 - 6*x**5 - 2*x**5 - 7 + 7 + (-x**3 + 2*x**3 - 2*x**3)*(-4*x**2 + 2*x**2 + 4*x**2).\nAnswer: -6*x**5 + x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41 or 40?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**2 + 21. Let w(t) be the third derivative of 9*t**4\/8 - 2*t**2. Calculate w(f(u)).\nAnswer: 54*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9148 divided by -16189.\nAnswer: -9148\/16189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -87606*i**3 - 46155 wrt i?\nAnswer: -262818*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 13*g**2 + 13*g + 8. Suppose 2*c - 3*k = 2 + 12, 0 = -3*c + 3*k + 18. Let a(r) = c + 3 - 3*r**2 - 3*r - 4 - 5. Calculate 18*a(q) + 4*o(q).\nAnswer: -2*q**2 - 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 0. Let i(h) = -h**3 - 9*h**2 - 8*h + 3. Let l(o) = o**3 + 10*o**2 + 9*o - 4. Let r(s) = 6*i(s) + 5*l(s). Determine r(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(-2*k - 5 + 5) + 21 - 39 - 25*k + 16)*(0*k**2 - k**2 + 3*k**2) - k**3 + 5*k**3 - 2*k**3.\nAnswer: -56*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 5:27 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/165 - 62\/165. Which is the closest to -0.1? (a) 8 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23712 in -10, 1\/3, -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f + 13. Let o(m) = -3*m - 7. Let j(t) = 11*o(t) + 6*u(t). Let r(q) = -19 - q + 56 + 2 + 5*q. Let k be r(-9). Give j(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2. Let b(p) be the second derivative of 2*p**2 + 0*p**5 + 0*p**3 + a + 1\/10*p**6 + 0*p**4 + 4*p. What is the first derivative of b(y) wrt y?\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*(-20)\/(-3)*(-6)\/1296*27?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 5 + 28\/(-5) + 4\/(980\/917).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 8368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/4 - 30*q**3 - 4093*q**2\/4 - 18597*q\/2 - 14740 = 0. Calculate q.\nAnswer: -67, -40, -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((5 + -2 + sqrt(208) + 5 + sqrt(208) + sqrt(208) + (sqrt(208) + -1)*6)*-3 + 3)**2.\nAnswer: 648*sqrt(13) + 151641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89668a (base 11) to base 16.\nAnswer: -15cdfb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -6*d + 2095. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -48\/49, 18, 23, -71?\nAnswer: -48\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119647023?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/697 or -1?\nAnswer: 5\/697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(-14))\/f*(f*f*f*f*((f\/(f*f**(1\/6)))\/f)\/f*f)\/f*f)**(-2\/25))**(-1\/16))**(-19) assuming f is positive.\nAnswer: f**(-1919\/1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 47864*s - 651. Let x(o) = -2081*o + 28. What is -4*g(n) - 93*x(n)?\nAnswer: 2077*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 14 = -3*t. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 993638.8 micrometers to nanometers.\nAnswer: 993638800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 50712?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.3594714 to 1 dp.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000089208 to 7 dps.\nAnswer: 0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 625*p - 707. Let b be y(-16). Is b at most -10707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 171 - 174. What is the closest to y in 0.3, 3\/5, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + sqrt(405) - sqrt(5) - (-4 + sqrt(50)\/sqrt(10)))**2.\nAnswer: 448*sqrt(5) + 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 9:39 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from jun.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 28\/4 - 0. Let k(l) = l**3 + 6*l**2 + 5*l - 5. Give k(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.6, -5, -0.202, -4\/11?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75 + -36. Is (-138)\/(-4)*26\/b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004821449 to 5 decimal places.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5563 divided by 2516\nAnswer: 5563\/2516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483734283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5\/17 + 28*n**4\/17 + 42*n**3\/17 - 352*n**2\/17 + 280*n\/17 = 0.\nAnswer: -10, -7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - d - 2*d - 25 = 0, -2*k = 3*d - 17. Let c(f) = 45*f**2 - 6*f - 6. Is c(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3154.\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 11122?\nAnswer: -11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**4 + 16*t**3 + 198*t**2 - 3241*t + 67?\nAnswer: -24*t**2 + 96*t + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - 3*u**4 + 2*u**4)*(4 + u - 4) + (-3*u + 4*u - 2*u + (u - 5*u + 0*u)*(1 + 4 - 6))*(-u**4 - u**4 - u**4).\nAnswer: -8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**3 - 72*p**2 + 832*p = 0.\nAnswer: -26, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7578.43 rounded to the nearest one hundred?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 35*x**2 - 16)*(7 - 4602*x + 17*x**2 + 4602*x).\nAnswer: 595*x**4 + 245*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = -3*x - 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10672 = -570*c + 1298 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - i + 4. Let u be w(-2). What is the units digit of 1\/u - (-12)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b86ce (base 15) to base 14\nAnswer: -1134b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*j**2 + 205*j**2 + 288*j - 56*j**2 - 50*j**2 + 1 - 45*j**2 to the form r*j + q*j**2 + n and give r.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 + 4*w + 202. Let u be v(0). Let f = u - 197. Solve 6*p + f = -1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/87 or 7?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 6)*(h - h + 2*h) - h - 3*h - 4*h)*(2*h - 2*h + 2*h)*(2 + 1 - 4)*(2 - 2 + 1).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 76891566 a multiple of 1199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*m - 14966 = 302*m + 11434 for m.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*sqrt(3) + 1*sqrt(12) - (sqrt(3) + 0 + sqrt(3) + 0 - (sqrt(300) - (sqrt(300) - (0 + sqrt(300))) - sqrt(300)))**2.\nAnswer: -15 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4891, -9784, -14677?\nAnswer: -19570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k. Let g(n) = -1407*n - 316 - 1287*n + 316. What is j(g(z))?\nAnswer: -2694*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5120*r**2 - 2445*r**2 - 7197*r**2.\nAnswer: -14762*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-6)*23664\/16 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 0*c**2 + 2*c**2)*(-2 + 3 - 3)*((0*c - c + 2*c)*(8 - 4 + 28) - c - 3*c + 2*c - 5*c - 2 + 3*c + c).\nAnswer: -58*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 16. Suppose 3*q - y + 0 = 0. What is the remainder when q is divided by 3\/(6\/(-4) - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = 2*j. Let g(p) = 24*p**2 - j*p - 1 - 14*p**2 - 20*p**2. Suppose -2*a - 2*a = -v - 1, -18 = -2*a + 4*v. Determine g(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) 96\/7 (c) -1\/3 (d) -16\/2529\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*h**2 - 34*h**2 - 43*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8832178 is divided by 635?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2395 and 0.1.\nAnswer: -239.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 193*k + 25. Is q(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2. Let n(h) = -54485*h**2. What is p(n(x))?\nAnswer: 5937230450*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 26 = -0*r. Let n(o) = -o**2 + 24*o + 46. Let h be n(r). Which is greater: -25\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 39*k - 37*k + 0)*(0 - k + 0 + (-k - 3*k + 7*k)*(-6 + 3 + 4))*(-3 - 4 + 2) in the form g*k**2 + l + r*k and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = s - 13 - 11, 0 = -5*s - 3*z + 174. Let m = 24 + s. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -260.3 - -260. Which is the second smallest value? (a) r (b) -25 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/43 and -31\/106.\nAnswer: 4558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 0 - (6 + -4 + -6). Solve -5*j + 4*n + 35 = 0, p*n + 3 = -12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -108*m - 7. Let z(i) = -431*i - 32. What is 18*r(x) - 4*z(x)?\nAnswer: -220*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 91107\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0012 - 0.67\nAnswer: -0.6712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*b + 474*b + 174*b - 2*b**2 - 136*b + 1004*b to d + k*b + p*b**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxth when four letters picked without replacement from {h: 2, b: 3, t: 3, u: 4, x: 4}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 743702016 and 17645.\nAnswer: 743719661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17749 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a hour in minutes?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 2:05 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 255*n**2 - 395*n wrt n?\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*m + 1 - 11*m - 3*m + (-9*m - 3*m + m)*(1 - 3 + 1) as x*m + p and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34004209 + -0.37.\nAnswer: 34004208.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 3*d**2 + d + 7. What is a(-3)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 9*k + 25. Let v be t(5). Sort 41, 0, v.\nAnswer: 0, v, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5882 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y**4 + 2*y)*(-4*y + 0*y + 2*y) - 26 + y**5 - 8 + 6.\nAnswer: -3*y**5 - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 - 1. Let q be o(1). What is the first derivative of -q*b + 3*b + b - 3 + 1 wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 801235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-3)\/6*-2. Let b(l) = l + 2 + i*l + l. Give b(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.41 and 0.558.\nAnswer: 0.22878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 130520 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/14)\/3 - (-6668)\/14. Let f be (-1)\/(-2)*-622*1. Let u = x + f. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-1)\/1*(-37)\/((-2072)\/(-176)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 + 14*o**2 + 11*o**2 + 0*o**2.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 2\/7, 3.7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h = 1188. Let t = h - 194. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.908159 to 2 dps.\nAnswer: 3.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10726250 divided by 1250.\nAnswer: -8581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from soqqhihooshqqo. What is prob of sequence qioq?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.094 and 51.\nAnswer: 50.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -2080.\nAnswer: 2082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2986, 12026, 27102, 48214?\nAnswer: 75362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451391?\nAnswer: 31, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 974.7 - 975. Let d = 457\/30 + -95\/6. Put x, d, 3 in descending order.\nAnswer: 3, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 - 38*r\/3 + 68\/3.\nAnswer: 2*(r - 17)*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 605159341 a multiple of 5113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 3*w**2 + 3*w - 3. Let o = -6 - -14. Suppose o*h = 4*h + 20. Let s be (4\/h)\/((-1)\/5). What is i(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0 (c) 1440529 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 1, -1.\nAnswer: -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/504 and -41\/476.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 459984 - 11501199\/25. Let f = c - -59039\/900. Find the common denominator of f and -5\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/507196 and 137\/35760?\nAnswer: 30431760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 7. Let h(t) = -t**2 + 12*t - 7. Let p be h(n). Suppose p*r = r. Solve 19 = 3*g + 4*x, r*x = 5*x - 20 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -339 by 369.\nAnswer: -113\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-301)\/(-2322))\/((-112)\/48)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (366*j**2 - 366*j**2 - 19*j**3 - 1)*(2 + 1 - 7) as r*j**2 + h + q*j + l*j**3 and give l.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(10\/(-6)) + 0 + 5. Suppose 4*h = -5*u + 204, o*u + 38 = 3*h - 92. Let b = 20 + -12. Calculate the remainder when h is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67299798 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 205 - 207. Put 3, a, -4 in increasing order.\nAnswer: -4, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/8*(-280)\/5. Suppose 18 = 6*i - t. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = -5*d, 0 = -d - 0*v + 2*v - 6. Let j = 11 + 0. Calculate the remainder when (-52)\/(-4 - (d - 0)) is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.95841 - 0.04159. What is the nearest to -5 in -2\/5, h, -5, 1.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.06 (b) 19.6 (c) 2\/15 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from {b: 1, y: 1, c: 2, j: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -14. Let b(t) = -t**3 + t**2. Let s(r) = r**3 - 8*r**2 + 6*r + 7. Let y be s(7). Let c be b(y). Solve -j = 3*k - v, j + 6 = -c*k + 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18471\/1624 + 1\/812. Suppose 0*g - 22844 = 4*g. Let n = 91337\/16 + g. What is the common denominator of n and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*o**2 + 2*o**2 - 2*o + 2*o - o in the form g + i*o + m*o**2 and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z + 149 = 47. What are the prime factors of (-20)\/(z*(-2)\/(-27))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 54941, 309, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4300447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 494795 times -1981\nAnswer: -980188895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 2*o + 3*o)*(3 + 1 - 5)*(11 + 3 + 14).\nAnswer: -168*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10387?\nAnswer: 13, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*n**4 - 3148836*n**3 + 217669238*n**2?\nAnswer: 504*n - 18893016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-9.7.\nAnswer: -38.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-6)\/(-36)*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459910?\nAnswer: 2, 5, 11, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o + 4. Suppose -o*q - 3 = 3*d, 3*q = q - 2*d. What is the first derivative of q*b + 2 - b**2 - 3*b wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 96475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-21) - (-10)\/(-18).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, 1.86, -2, 0.09, 4?\nAnswer: 1.86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0\/((((o\/((o*(o*o\/o**(3\/8)*o*o)\/o*o)\/o*o))\/o)\/o)\/o))**33 assuming o is positive.\nAnswer: o**(1749\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -768080 to the nearest 10000.\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 12:17 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3*u - 4*p + 23 = 0, -11*u + 80*p - 73 = 60*p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 208572180.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4*q + 140, -210*m = -205*m - 5*q - 335. What is the remainder when m is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 639*g - 1587*g - 426*g - 1906*g to y*g + f and give y.\nAnswer: -3280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*15\/6*9168\/1910*(-27)\/(-198).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3243, -6476, -9707, -12936, -16163, -19388?\n\"Answer: p**2 - 3236*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {d: 1, f: 3, s: 3, a: 5}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14033.\nAnswer: 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1245 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 322*u - 65. What is the units digit of c(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**5 + 4*t**5 - 5*t**5 + (t**2 + t - t)*(-212*t**2 + 165*t**2 - 4*t**3 + 5*t**3).\nAnswer: 4*t**5 - 47*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32496 and 6614544.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35645 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 177236 and 330?\nAnswer: 29243940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 6, 12\/17, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 103*u**3\/6 - 93*u**2 - 166*u. Find the first derivative of p(s) wrt s.\nAnswer: 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.76\nAnswer: 0.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1000000101101111111 (base 2) to base 4\nAnswer: -1000231333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g - 2. Let i be m(1). Suppose 0 = -i*j - 19 + 44. Solve -32 = -j*t + 4*d, d = 5*t - 10 - 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44751199 to the nearest integer?\nAnswer: 6690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 2:14 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06411*0.01.\nAnswer: 0.0006411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**0*m)**43*(m**3\/m*m)\/((m**(1\/6)\/m)\/m)*(m\/(((m*m*m**(-1\/3)\/m)\/m)\/m*m))**(-22)*(m**(-2\/15)*m)\/m**(-1\/3) assuming m is positive.\nAnswer: m**(1057\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 + 18)\/(26\/39) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24948*x + 25182*x = -17784 for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1 (b) -0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 + -10 - -17) + 5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*v**5 - 3530*v**4 + 94*v**3 + 7264819*v**2 + v wrt v.\nAnswer: 3600*v**2 - 84720*v + 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1109 - -1094) + (-8 - -1)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22463 and 263138.\nAnswer: 1841966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from {n: 2, f: 1, w: 4, c: 2, o: 1, l: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 92*k**3 + 4*k**2 - 5*k + 8. Let i be u(-8). What is i rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25154263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**4\/6 + 3*p - 4. Let q(j) be the first derivative of w(j). Let x(b) = 3*b**2 + 6 - 2 - 4. What is q(x(f))?\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2081, -1, 22\/193?\nAnswer: 2081","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 52*s - 50*s - s**2 + 26 to the form z + v*s**2 + w*s and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3188\/13 + -2595331\/10582. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**5 + 4*l**5 + l**5 + (-l**4 - 3*l**4 + 5*l**4)*(-6*l + 4*l + 3*l) + 0*l**5 + 0*l**5 + 2*l**5 - l**5 + 2*l**3 - 2*l**3 - 4*l**5 + 2 + 1 - 2.\nAnswer: -l**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2 - 7*b + 15. Let i(g) = 3*g**2 + 6*g - 15. Let d(o) = -5*i(o) - 6*u(o). Factor d(l).\nAnswer: 3*(l - 1)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l - 15*l = -29*l. Suppose l = -11*c + 4*c + 49. Suppose -c*f + 17*f - 1610 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 324568?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -16897?\nAnswer: 5\/16897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 25*l = 308. What is the greatest common divisor of 22 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 - 6*s**2 - 4*s + 25. Let y be z(-4). Let v = y + -140. What is the closest to 1 in 0.33, -1\/7, v?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 4511, 4\/5, -0.4, -2\/17, 185?\nAnswer: 4511","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3905096 to the nearest integer?\nAnswer: 1976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1243 - -1179. Suppose -7*h - 164 = -150. Sort l, h, 5 in descending order.\nAnswer: 5, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 0 + (102 - 99). Solve -3 = a + z, 2*a + 4*z + s = 8*z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + l**2 - 4*l**2)*(8*l - 4*l + 4*l)*(2 - 2 - 2)*(2 + 2 - 2).\nAnswer: 96*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (36 - 7)) + 21?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -13331343012?\nAnswer: -13331343004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from rddzakyddzydaza?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19839151 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2271112 divided by 98744?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.9582 rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.4 + 16.4. Sort -4\/21, 4, 0.5, x in descending order.\nAnswer: x, 4, 0.5, -4\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 104049 and -2.\nAnswer: -208098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -44, 658085 in descending order.\nAnswer: 658085, 3, -1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*n**3 - 20*n + 14*n + 2*n.\nAnswer: -32*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 - 2*r**4 + 5*r**4 + 1 - 1 - r**4 + (-4*r**2 + 2*r**2 + 3*r**2)*(2*r**2 - r**2 + r**2) + 3*r**4 + 0*r**3 + 0*r**3 - r**4 + 2*r**4 - 3 + 1.\nAnswer: 7*r**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 22. Is ((-1117)\/x)\/1*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 693.691789 - 693.7. What is x rounded to four decimal places?\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -12. Suppose g - 3 = m. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 816\/5363 (b) 4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*h = -4, 3*p - 4*h - 1 = 5. What is the smallest common multiple of 16\/(-40)*10*-2 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*2)**2 + (6*sqrt(33)\/sqrt(3))**2.\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 4. Which is the second biggest value? (a) f (b) -2\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 286972 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34241312 (base 5) to base 15.\nAnswer: 6093c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4)*(239*m - 77*m - 101*m) - m + 2*m + 7*m in the form z + h*m and give h.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*c - 4 = 0. Suppose -10 = -5827*f + 5831*f + z, -f - 1 = z. Sort 9, c, f in descending order.\nAnswer: 9, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -933, -2295, -4385, -7569, -12213?\n\"Answer: -61*v**3 + 2*v**2 - 941*v + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0586 - 0.0414. Which is the closest to 1.5? (a) 0 (b) k (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1617, 1399, 1181, 963, 745?\n\"Answer: -218*l + 1835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5130 divided by 15\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -151269.\nAnswer: -12101.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (6 - 12) + 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 279*l + 6677. Determine j(-24).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12011 - 0?\nAnswer: -12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31241132 (base 5) to base 9.\nAnswer: 434145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 7. Let j(u) = -3*u + 7. Let f(y) = -4*g(y) + 3*j(y). Let d be f(-6). What is the third smallest value in d, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 219426221 and 28.\nAnswer: 877704884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/1 + (-4 - 3780\/470)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646021 to the power of 1\/2, to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-7 + 2) - 146\/147. Let c = -41\/147 - z. Is c less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43409?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 16. Let d be (-28 - -24)*3\/(-4). Suppose d*v = s + v - 2, -4*v - 16 = -c*s. Solve s*q = -q + 15, 3*a + 3*q - 18 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327933 to the power of 1\/2, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k + 40. Suppose w + 14 = -4*m + 3*w, -3*m - 4*w + 6 = 0. Is 2 a factor of v(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 249*i + 2. Let z(f) = -136*f. What is 2*w(b) + 5*z(b)?\nAnswer: -182*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*j + 19*j = -650 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8966 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*g**2 - 14*g**6 - 4*g**2 - g**2 wrt g?\nAnswer: -1680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/2*(-50)\/(-15). Suppose -5*j = q - 10, -j + t*j = 4*q + 8. Suppose -10 = j*u - 116. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1458388769 by 4.\nAnswer: 1458388769\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*(-5 + 3*sqrt(539)*-2 + 6*((sqrt(539) - 2*sqrt(539)) + sqrt(539))*6)*-2)**2.\nAnswer: 241920*sqrt(11) + 11191104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n - 8. Let w = -101228 - -101228.1. Which is the third smallest value? (a) n (b) -0.5 (c) w (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**5\/20 + i**4\/12 + i**3\/6 + 8*i**2 - 6*i. Does 16 divide d(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263053 (base 7) in base 10?\nAnswer: 49087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away 13362980466?\nAnswer: -13362980459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 5*u. Suppose -2*w - 22 = -4*b, 3*w = 2*b - 10 + 1. Let q be i(b). Let n = q - 1. Solve p - 2*p = -5*j - 25, -3*j = -n*p + 37 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + r + 4*r + 3 = 0, 3 = o - 2*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21826592 - 8060592. Round r to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -43. Suppose -n + 1 = -5*l. Solve -5*z - 10 = c + l*c, -4*c = -3*z + 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10006588 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*u - 11*u - 8. Suppose 3*r + 234 = 5*l, -4*l + 174 = -0*r + u*r. Calculate the remainder when l is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9229428?\nAnswer: 2, 3, 13, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 9)*(-5*y + 0*y + 0*y)*(-2 + 0 + 0)*(-6 + 2 + 2) as w + o*y and give o.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 1312210?\nAnswer: 1312212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4 - 46*x**3 - 328*x**2 - 824*x - 672 = 0.\nAnswer: -12, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -3459722?\nAnswer: -3459721.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-24) - (6 + (-210)\/40). What is the third smallest value in 0.1, f, 0.45?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 277516404 and 726?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, e: 4, d: 4}. Give prob of sequence dd.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -944 divided by 236\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -1263, 1, -1, 3 in descending order.\nAnswer: 3, 1, -1, -2, -5, -1263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*q - 14 - 11 = 0, -19 = -v - 4*q. Let r be -1*v*(-2)\/(-6). Which is the closest to -2\/5? (a) -2 (b) r (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4375858181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from mmmmmmww?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - z. Let t(d) = 143*d**3 - 66*d + 121. Let h(x) = 66*k(x) - t(x). Find the first derivative of h(l) wrt l.\nAnswer: -231*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -615853\/12 > -51322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 1167.4402664.\nAnswer: 1172.4402664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 3026137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 42\/28)\/(1\/(-222746)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110180 (base 9) to base 7.\nAnswer: -362505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a kilometer in meters?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-189)\/(-63)*4*(-11)\/198*33.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 27 + (12 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20045 (base 12) in base 2?\nAnswer: -1010001000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = n - 5*t - 8, 0 = -4*n - 3*t + 41. Let z = -7 + n. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -369 - -550. Suppose t = 4*w - 23. What are the prime factors of w?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -52 and -0.79.\nAnswer: 41.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 237 - 220.3. Let f = z - 17. Let b be (((-2)\/(-4))\/(10\/(-4)))\/1. Sort 0.1, b, f.\nAnswer: f, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -9*u**3 + 1017*u**2 - 13968*u + 20. What is v(16)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 14*f**2 + 16*f + 7. Give n(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.079 - -19.079. Which is the second biggest value? (a) 5 (b) x (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1304100 and 1656?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2086237 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.669961 decades to years.\nAnswer: 96.69961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5270, 0.5, 266\/17, 3?\nAnswer: 266\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47747 or 47511?\nAnswer: 47747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/14 and -5\/5154.\nAnswer: 36078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3*c - 816, 91*c - 802 = -3*l + 87*c. What is the remainder when l is divided by 122?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1836 and 428004?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)\/g)\/(g**(-2\/31)\/g)*g\/(g*g**(-2\/15)\/g)*g**(5\/7))**(1\/6) assuming g is positive.\nAnswer: g**(-3541\/19530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -615, -625, -641, -663, -691, -725?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 6. Let p be o(3). What is the second derivative of -p*b**4 + 0*b**4 + 3*b + 0*b**4 - b wrt b?\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 + 13*b**2 + 139*b\/2 + 57.\nAnswer: (b + 1)*(b + 6)*(b + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 618\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 + 0*h**4 - h**4 + (3 + 2 - 6)*(4*h**4 + 4*h**4 - 5*h**4).\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = o - 8, 3*o - 4*w + 2*w - 56 = 0. What is the remainder when 46 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5806*l + 5809*l = -2*i + 1, -l + 5*i = 28 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1111105 + -4?\nAnswer: 1111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 4*u + 2*n, -55 = -2*u - 2*n + 3. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3, -40*w = -5*o - 39*w + 5673. Is o a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.39 and 10924?\nAnswer: 10924.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 2 (c) 0.2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-three fifths of a kilogram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 145572703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 72*n = 107406. List the prime factors of n.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25192825.\nAnswer: 5, 7, 359, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388604?\nAnswer: 2, 97151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 53. Suppose 0 = -9*v + g*v + 8. Solve 2*a = -2*d, 0 = a - d - 2 - v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405000 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**5 + 7*f**2*j**3 - 122*f*j**3 wrt f?\nAnswer: 80*f**3 + 14*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-2 - (-10 + 4))) + (-6 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*l + 2256 = -64*l. Let t(m) = -4*m + 16 + 5*m - 2*m. Give t(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/899620 and -29\/1439392?\nAnswer: 7196960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 - 21*h**2 + 12*h + 15. Let m be u(-11). Calculate the common denominator of -1\/2 and (-4)\/((-3024)\/(-3198)) - m\/(-14).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 3611267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011022200020 + 1011210?\nAnswer: -1011021111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.43388961 rounded to three decimal places?\nAnswer: -2.434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 17 = -l, 0*c + 12 = 4*c. Suppose -l = -0*f - 2*f. Let b(q) = 3*q**2 + 17*q - 47. What is the least common multiple of f and b(-8)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**4 + 63*q**3 - 12*q**2 - 252*q = 0.\nAnswer: -21, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r + 2. Let j(p) = 3*p - 2. Let l(c) = 3*j(c) + 2*k(c). Let u(i) = -2*i - 3. Let a be 2\/(12\/(-3) + 3). Give a*u(x) + 3*l(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26a0 - 11976?\nAnswer: -f2d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5\/(u*(u**(-6)\/u)\/u))**(2\/15)\/((u*u*u**(1\/11)*u*u*u**(-4\/5))\/((u*(u**(-6)*u)\/u*u)\/(u\/(u**0*u)))) assuming u is positive.\nAnswer: u**(-313\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = y - 1, 0 = 3*o + 4*y + 8. Let x(m) = -5*m - 85. Calculate the lowest common multiple of o and x(-19).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((-38)\/8 - -7)*-4*22\/(-3)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/33)\/((-1)\/9)*((-2668)\/12)\/23\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 295*p**3\/3 - 3*p**2 + p - 17. Is u(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6444 or 6445?\nAnswer: 6445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 67*y + 948877. Let a(x) = -x. Determine a(b(v)).\nAnswer: -67*v - 948877","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 248616 and 9000.\nAnswer: 31077000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 46 = 3*k, -k + 2*y + 12 = y. Suppose -q = -4 - k. What is the least common multiple of q and 23?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4282 is divided by 1913?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 - 121563*d**3 - d + d + 121956*d**3.\nAnswer: 393*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 2, 4, 15, -3, -20 in increasing order.\nAnswer: -20, -3, 2, 4, 15, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-3))\/((-10)\/15). Is -62*(0 - x)*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18292?\nAnswer: 2, 17, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*l - 2436*l - 2148*l.\nAnswer: -4867*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 8*k**2 - k + 12. Let w be n(8). Suppose 0*d - 300 = -w*d. Suppose 2*u - 3*u = -3*t - 7, -5*t = -5*u + d. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 82 + 73 = -3*a, -5*p = -5*a + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03906 + -3.92794. Let k = m - 0.033. Let z = -25.4 - -25. What is the closest to 0.1 in z, k, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from {c: 3, p: 7, f: 3}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Suppose 16 = 2*a - 0*a - b*d, 2*a = d + 8. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 354*i**2 + 3*i - 7. Let v(h) = 353*h**2 + 3*h - 6. Let a(f) = -4*d(f) + 5*v(f). What are the prime factors of a(1)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by (2\/9 - 2028\/(-351))*(-77)\/(-42).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69 times 0.1\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/756 and 2\/94707.\nAnswer: 7955388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from eaaaxxtxxxllxlxla?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 3*g - 4. Let f(h) = h**3 - 2*h**2 - h - 3. Let l be f(3). Let q = l + -6. Let n be a(q). What is the highest common divisor of n and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 112, 0.20512, 0.4 in descending order.\nAnswer: 112, 0.4, 0.20512, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 - 4) - (17 + -16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 6:36 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4853220?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*l, -18 = -2*a - 4*l - 0*l. Suppose -x - a*f + 6 = 0, 4*f + 4 = 6*f. Suppose 6*c - 4*c = x. Solve c = h + 4 + 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.4 + 6.337. Let v = -1.137 + a. What is the smallest value in v, 2, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 949011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 443448 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92414, -92411, -92408?\nAnswer: -92405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 187, 456, 833, 1318, 1911?\nAnswer: 2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2155 - 2053 = 29*q - 119*q + 1732 for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**4 + 5 - 5)*(-1 + 1 + 3).\nAnswer: -15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l - 10. Let s be r(-5). Suppose 3*h = 2*v + 2*v + 11, 0 = -5*v + s. Suppose -h*y = -3*b + 157, 4*b - 56 - 159 = y. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1648.6383 minutes?\nAnswer: 27.477305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61469414173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/15)*n**(1\/3)*(n*(n\/(n\/(n**(-5)*n)))\/n)\/n**(-2\/11) assuming n is positive.\nAnswer: n**(-553\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135298?\nAnswer: 2, 61, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3540 + -3539.9997909. Round i to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201565644 to the nearest integer?\nAnswer: 14197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2 + 50*j - 232 = 0.\nAnswer: -29, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/((-27)\/(-72))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 12943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19949396 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 224226439*k - 195725779?\nAnswer: 224226439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.118714881 to three decimal places.\nAnswer: -0.119","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - v + (0 - 4 + 2)*(-2*v - v + 5*v) + (2*v + 3*v - 3*v)*(3 - 1 + 0) + 539*v + 147685 - 147685 + 9 - 9 + 3*v.\nAnswer: 541*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/((-1 - 1)\/1 - -3). Let q be ((-9)\/(-6))\/(p\/12 + 1). Calculate the common denominator of 64\/q - (-28)\/42 and -31\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28196\/37 - 762. Let r = 321 - 316. Suppose r*d = -3*f + 25, f - 5*d + 12 + 13 = 0. Is f >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -6*j + 12*j. Suppose 2*a - 4*a = 4*k - 998, -5*a - j = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 9*a**2 + 3. Let s be k(-9). Let j be -2*(-1 + 3) + s. What is the remainder when 54 is divided by 192\/12 - (-2 + j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 100*u**2 + 318*u.\nAnswer: -2*u*(u - 3)*(u + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2416\/7 + 345. What is the third biggest value in x, 3, 1\/6, 17?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2\/13 + 47610432*n\/13 + 283344154403328\/13 = 0.\nAnswer: -11902608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2 - 124*p. Let y(o) = 2*o**2. What is m(y(j))?\nAnswer: -16*j**4 - 248*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13024849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9 = 3*d, 0 = -9*r + 11*r + d - 18. Calculate the remainder when 46 is divided by (525\/r)\/5 - (-32)\/(-48).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4639 less than -0.2?\nAnswer: 2.2639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, r: 3, k: 2, v: 1, m: 1}. What is prob of picking 1 m, 1 v, and 2 k?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 35. Suppose f = -3, -2*s + 1 = -z*f - 9. Find the second derivative of -10*y**2 + 2*y + 10*y**s - 14*y**4 wrt y.\nAnswer: -168*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and -1 + (-1 - -26) - (-220)\/(-220).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4010558?\nAnswer: 2, 19, 105541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*s = 96*s + 36 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 473869589, 947739179, 1421608769, 1895478359?\n\"Answer: 473869590*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -2.122\nAnswer: -1.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.55 - -0.15. Let x = -0.39999956 - u. Round x to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*v + 29*v - 42*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9062755 to the nearest integer?\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.17 - -0.1. Let j = v - -1.07. What is the nearest to j in -4, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78155844379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 4*b**2 - 4*b + 8. Give u(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1)\/(98\/(-294))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 726 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.068.\nAnswer: 0.0204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 857 - 861. What is the nearest to -2\/3 in -3, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/32, -3, 0.\nAnswer: -3, -3\/32, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*y - 3*y + 13060 = -485*y for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4))**(10\/9)*b**(-13)\/(b\/(b*b**(-20))) assuming b is positive.\nAnswer: b**(-337\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kiuiikzkgz. Give prob of picking 1 i and 2 k.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45\/108*4*3 and 929?\nAnswer: 4645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 6*j = -j - 12, 5*j = 4*f + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 66 and -3.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + (-1 + sqrt(605) - sqrt(605)) + sqrt(605) + sqrt(605) + -5 + (sqrt(605)*1 - sqrt(605)))*-6*-6)**2.\nAnswer: -4105728*sqrt(5) + 28973376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -o - 3*z, -5*o = -3*z + 8 + 33. Let j = -14 - o. Let d(p) = 3*p**3 - p**2 - 1. Let c(r) = 10*r**3 - 3*r**2 - 4. What is j*d(s) + 2*c(s)?\nAnswer: -s**3 + s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*i + 5. Suppose 0 = -0*p + i*p. Solve 0*w + w = p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 62 = -52. What is the fourth biggest value in -2\/11, -4, -6, o?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139472 divided by -8717.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 8*o**3 - 23*o**2 - 7*o + 32. Let m(b) = -3*b**3 + 8*b**2 + 2*b - 11. Let c(i) = 11*m(i) + 4*u(i). Does 29 divide c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 19, -3, 0.111, -1, 1\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13477*d - 161 = -13484*d for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*a**3*y**5 - 23783*a**3*y**2 + 2*a**3 + 444*a**2 - 17*a*y + 4*y wrt y.\nAnswer: 2060*a**3*y**3 - 47566*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.072 + -0.028. Let j be 236\/(-1446)*(-24)\/10. Let w = 2\/241 + j. Which is the nearest to w? (a) f (b) -2\/15 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63306 - 543?\nAnswer: -64152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -763 - 11585 = 617*t + 2284*t + 5058 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 9:38 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4031*o - 2863 with respect to o.\nAnswer: -4031","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2. Let k(g) = -5*g**2 + 6*g + 5. Let y(q) = k(q) + 4*v(q). Suppose 0 = 5*c - 0*c - 5. Let n be -1 + 2 - (-5)\/c. Determine y(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -44) + (6 - (35 + -14)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 111 divided by -3\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12 and 14.82143722.\nAnswer: 2.82143722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2\/39, 0.09, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-173901)\/2401*2\/(7 + -1) - (-16)\/112?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -503670 + 503748. Suppose 0 = 2*c + u - 149, -2*u + 222 = -2*c + 5*c. Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -190*d - 7.\nAnswer: -190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49535 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/22)\/2 - (-195840)\/220. Suppose 5*m = 0, q = 3*j - 4*m + 185. Does 47 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**3 - 11*q**2 - q - 1. Let y(g) = -3*g**3 + 6*g**2 + g. Let u(k) = 4*i(k) + 7*y(k). Let d be u(4). What is the greatest common factor of d and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z, 5*o = o + 4*z + 8. Solve 9 = -o*u - 5*k + 33, 5*k - 14 = 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 22. Let n = u - -10.8. Let h = -0.8 + -4.2. What is the smallest value in -1, n, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.37 - -3.38195. What is y rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13730249431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 65 = -3*o, 4444*o - 4443*o + 37 = 4*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15616 divided by -244?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n = -16*n + 314. Suppose 0*p + 2*p = n. What are the prime factors of p?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 7:53 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59252 is divided by 248?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292, -582, -872, -1162, -1452, -1742?\nAnswer: -2032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u + 0*u)*(1 - 1 + 2*u) + 6056*u + 6065*u - 12121*u + 18064*u**2.\nAnswer: 18060*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -89? (a) -5 (b) 1 (c) 30071\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -20*r - 126. Let g be q(-7). What is the remainder when 18 is divided by 13\/65 + g\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2 = 6. Let i be -16 - -1 - (2 + a). Let t be (1\/(-4))\/(4\/i). Is 0 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from {n: 1, b: 2, r: 1, l: 10, c: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, -166160.\nAnswer: -166160, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-3)\/42 + 30\/(-14). Is (q + 1282\/4)\/((-5)\/(-10)) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.11 - 1.01. Which is the third smallest value? (a) q (b) -2\/3 (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 48 - 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1*sqrt(700))**2 - (sqrt(847)*-2*-5)**2)*-3 + -3.\nAnswer: 180*sqrt(7) + 251970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + f**2 - f + 1. Let b(n) = 2*n**3 - 3*n**2 + 3*n - 11. Calculate b(k) + 3*v(k).\nAnswer: -k**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -289723*j**3*n**3 - 44*j**3*n**2 - 3*j**2*n**2 - 43*j*n + 2*j - 7*n wrt n?\nAnswer: -1738338*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*i + 83*i = 1056. Put i, 84, 1, -3 in descending order.\nAnswer: 84, i, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 29333028\/(-9)*(-1)\/17880. Let v = 91\/1490 - m. Let w = v + 182. Put -0.6, 0.5, w in increasing order.\nAnswer: -0.6, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 625*s**4 - 100*s**3 - 1008*s**2 + 784*s + 2345. What is g in u(g) = 0?\nAnswer: -1, 14\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i + x - 46 = 0, -2*x + 8 = 0. What is the smallest common multiple of 6 - (2 - -1)*28\/i and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-4)\/198*7\/(28\/(-15)).\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 0*b**2 - 2*b**2)*(-510*b - 12*b**2 + 510*b).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 8. Let d(u) = -u - 1. Let a(i) = -6*d(i) + 2*v(i). Is a(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91149317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 4*a**2 - 2. Let s be v(3). Suppose -5*f + s*f = 1438. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 + 0.03. Let s = -0.09 + p. What is the biggest value in 4, 1\/2, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-724 + 753 + (1 - 14) - 134).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*s + 21*s + 2*s**3 + s)*(-2 - s - 6*s + 4*s) in the form w*s + b*s**4 + u*s**3 + c + l*s**2 and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (63 - 102 + 56)*(290*s + 12258 - 12258) to l*s + z and give l.\nAnswer: 4930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbvvbfvbvbb. Give prob of sequence vb.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -623 + 626. Let p = -8 - -15. Suppose -k*j + p*j = 56. Solve -3*v + 2*m = 5*m + 15, -j = v + 4*m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 18 = 19*y. Solve y*j - 2*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4015, -8028, -12039, -16048, -20055?\nAnswer: -24060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 998 + 131. Let r = 2552 - d. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3013213102 + -11?\nAnswer: -3013213113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - (-15)\/2)\/(1\/(-4)). Suppose r - 3*a = 74, r + 3*r + 3*a - 356 = 0. Let j be r\/(-11) - u\/11. Which is bigger: -7 or j?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 35. Let j be 2 - (6\/3 - 0). Suppose 13*q - 17*q + 24 = j. Calculate the remainder when y is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 276545, -2\/15?\nAnswer: 276545","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 76, 642, 2188, 5206, 10188?\n\"Answer: 82*x**3 - 2*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-64)\/14)\/((-212)\/34874). Calculate the highest common divisor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10\/9, 19\/13, 4\/35, -6\/7?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 13*u - 644. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -560 divided by 1.\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**2\/2 + 3*p + 10. Calculate l(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6*2*-6. Suppose -s*i = -j - 32 - 11, 3*j = -i + 27. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1170*f + 494*f = -1623*f + 36157 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -223 + 137. Let v = 124 + u. Let a = -29 + v. Calculate the highest common divisor of 36 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 123*b**3 + b - 1 - 88*b**3 - 4*b**2 - 34*b**3. Suppose 0*r + d = -r - 2, 5*r = 2*d + 25. Calculate k(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 86 and 24126?\nAnswer: 2074836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 7. Let m(l) be the first derivative of -l**4\/4 - l**3 + 3*l - 9. List the prime factors of m(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 21 = 3*a, 3*a - 3 = -o + 10. Suppose -6*x - 2*p = -5*x, x = 5*p + 7. Suppose x = 2*l - 2*f - 0*f, a*f - 7 = 2*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 9. Suppose x - 5*j - 10 - 3 = 0, -4*j + 82 = 2*x. Let q = x + c. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(204)\/sqrt(4)*5)\/(2*sqrt(300)))**2*1.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 6*h - 5*h)*(-12*h + 10*h - 8*h) - 16*h**2 - 67*h + 67*h + 2*h**2 - 7*h + 10 - 10.\nAnswer: 56*h**2 - 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4866 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 25550640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c - 15. Let f(z) = 0*z + z + c*z - 3*z. Let n(u) = -6*u**2 + 4*u. Let m(v) = -5*v**2 + 3*v. Let l(q) = 4*m(q) - 3*n(q). Give f(l(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 4?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79339 divided by -51.\nAnswer: -4667\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/9)\/(1050\/60) - 4\/(-14).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 25*f - 42. Let i(b) = -52*b + 84. Let g(l) = -3*i(l) - 7*q(l). Let v be g(2). Solve -x - 1 = d - 0*x, x = -4*d - v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 7*s + 20. Let d = 61 + -68. Suppose -3*q = -8*q + 35. What is the remainder when v(d) is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166339.\nAnswer: 181, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -45*y**3 + y**2 - y - 20. Let d be v(-4). Suppose 8*r - d = -r. Calculate the remainder when r is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - 125\/(-20))*(-16)\/138. Let w be (20\/24)\/(-1*3). Let p = 1\/126 - w. Sort -5, f, p in decreasing order.\nAnswer: p, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -53673 and 0.4.\nAnswer: -21469.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -13, -10, 6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 12, 0.03, -23.5, -1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -212 - -215. Let g(j) be the third derivative of 0*j**4 + 0*j**c - 4\/35*j**7 + 3\/112*j**8 + 0 - 5*j**2 - 1\/10*j**5 + 0*j + 7\/40*j**6. Factor g(s).\nAnswer: 3*s**2*(s - 1)**2*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012200 (base 3) to base 16.\nAnswer: -64b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/3, 2\/5, 4\/75, -0.5, -11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 6. Let i = s + 6. Let z be (0 - -1)*(-4 - -1). Put z, i, -2 in decreasing order.\nAnswer: i, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-64)\/(-12))\/(-8))\/((-6)\/(-9)). Let z be (-4)\/((-12)\/(-13)) + (-1 - -4). What is the nearest to -2 in 4, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7585 and 0.9?\nAnswer: 7585.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 12:30 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 116675079011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118\/(7788\/594)*22\/6?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7042752.\nAnswer: 2, 3, 12227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - r = -11, 5*p + 0*r - 4*r - 47 = 0. What is the smallest common multiple of p*(3 + (-11)\/7) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707.2487 years in months?\nAnswer: 8486.9844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o - 4854 - 3570 = 0. Calculate the greatest common divisor of 117 and o.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 8) in base 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + 2485*a + 115886. What is h(-45)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxozxzoxxzoooooxoxoz. What is prob of picking 2 o?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5722288 divided by -40016?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 + -55. Suppose 5*q - 242 = -v*r + 184, -4*q = 2*r - 340. Calculate the highest common factor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-194)\/(-6) - 80\/60 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172664961*y**3 - 2267*y**2 - 43753.\nAnswer: 1035989766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 2*i**2. Let y be w(4). Let p = y - -33. Let f(h) = 4*h + 5. Let t(j) = j + 1. What is p*f(d) - 5*t(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342042720?\nAnswer: 2, 3, 5, 17, 167, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {c: 1, s: 19}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-19)\/o)\/o**(-2\/9) assuming o is positive.\nAnswer: o**(-178\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11167*j**3 + 0*j**2 + j**2 - 11183*j**3.\nAnswer: -16*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 285 = 3*h, -2*h + 123 = 4*i - 127. Are 3 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {l: 6, r: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/15 + -9 + (-33)\/(-27)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.1, 9\/5, 0.68956, -13?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y + 10. Let b be a(-7). List the prime factors of (-18)\/b - 1\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -6, -1\/3, -26\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 5. Let u be r(4). Let a = 5 + u. Let b = -84 - -94. Solve 4*s + 2*y = -0*y + b, -a*s = y - 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -73, 1, -0.01, -1, -0.06, -5, -1257?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37930 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -102*l + 49*l + 55*l. Let w(d) be the first derivative of 2*d**3\/3 - 2. Calculate w(v(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 5*k - 99. Let o = 4 - 1. Calculate the greatest common factor of k and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1724 + 1.178767. Round s to 4 dps.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 722299\/128 + -5643. Which is greater: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 1\/2*a**2 + 5 - a. Let c(r) = -r**2 - 3*r + 5. Let g(p) = -c(p) + s(p). What is g(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 - 2*a + 1. Let s be y(1). Suppose 18 = -0*w + s*w. Solve v + 4 = -m + 1, -5*v - w = 3*m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 31*t - 138. Let n be i(-5). Let w(s) = 16*s + 27. Let p(g) = -63*g - 108. Let c(u) = 4*p(u) + 15*w(u). What is the units digit of c(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 13*o + 11. Let x be c(13). Suppose 0 = -x*p + 10*p + 10. What is the least common multiple of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 43.6, 9, 0.1, 1\/2, -0.2, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2766)\/(-855) + -3 - -1. Let p = 26\/19 - t. Put -5, 3, -1\/2, p in decreasing order.\nAnswer: 3, p, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 45861 in descending order.\nAnswer: 45861, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-567)\/(-147) + (-8)\/2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 670718 by 223.\nAnswer: 670718\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7552065, 15104146, 22656227?\nAnswer: 30208308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 10*l**2 + 10*l + 9. Let w be s(-9). Suppose w = 24*o - 23*o + 220. Let y = 301 - o. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70520 - 38710. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 11*n - 8. Let m be x(9). Suppose k - 20 = 5*y, 0*k + m = 5*y + 5*k. Put -4, 3, y in ascending order.\nAnswer: -4, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -98*w + 364. Let f be o(3). Which is smaller: f or 415\/6?\nAnswer: 415\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 13*w**2 + 13*w - 7. Let a be m(12). Let d(g) be the first derivative of -1\/12*g**4 + 0*g**2 + 1 + 0*g**3 - 1\/15*g**a + 0*g. Factor d(k).\nAnswer: -k**3*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 0*k**2 - k + 2*k**2 + k. Let x(o) be the first derivative of -5*o**4\/24 - o**2\/2 + 3. Let f(v) be the second derivative of x(v). Give f(z(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -225622 (base 7) to base 15\nAnswer: -beb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*-26099)\/(-25 - -24). Let d = n - 15132. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (-113 - -121) - (-1 - -44)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 240548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b14 (base 15) to base 14\nAnswer: ca2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119*f**2 - 2273*f**5 + 280*f**2 - 3 + 3 + 2268*f**2 wrt f?\nAnswer: -136380*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2250448 = -34*f - 2846152. Round f to the nearest one thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36712 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*d - 3*d**2 + 924*d - 462*d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -383*l + 4 + 2 + 297*l - 7 as f*l + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4488 + 0.1488. Let k = -1.5 + 1. Which is the smallest value? (a) k (b) x (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**5\/12 - 5*k**4\/24 + 11*k**3\/3 - 7. Let j(s) be the third derivative of y(s). What is the first derivative of j(c) wrt c?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 8, 43, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11310344 (base 5) to base 16.\nAnswer: -195a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 10*q**2 + 125*q - 286. Give x(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 442*w - 435*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*j - 11 - 49. Suppose -4*f - 37*r + 36*r = -43, -j*f + 3*r = -11. What is the lowest common multiple of 7 and f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -6272595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 4, j: 3, p: 9}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 43, 26, 9, -8, -25?\n\"Answer: -17*a + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 18*o**2 + 16*o - 16. Let c be n(-17). Let b(v) = -194*v + 204*v - c - 1 - 6. Let i be b(1). Solve i*x - 15 + 5 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1560\/84)\/10?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + t + 1. Let r be z(4). Find the third derivative of 3*k**4 + r*k**2 - 28*k**2 + 2*k**4 wrt k.\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (75\/(-70))\/(9\/(-18)) and (-190)\/24 + (-6)\/(-24)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -0.4, -4, 0.4, 12, 11.\nAnswer: -4, -0.4, 0.4, 11, 12, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 70.4 (b) 99 (c) 0.7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59\/44 + -13\/22. Let x(g) be the first derivative of 0*g + 5 + 9\/4*g**4 + 2*g**3 + v*g**2 + 1\/4*g**6 + 6\/5*g**5. Factor x(i).\nAnswer: 3*i*(i + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = -107 + 5195. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/((-315)\/(-345)))\/(-1 + (-8)\/(-6)). Solve -5*l + 2*s - g = 0, -11*l + 16 = -14*l - s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 623650782 to the nearest integer?\nAnswer: 24973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20372 - 20368. Let f be (-10)\/(-2) + (3 - 4). Solve 4 = o + 2*s, n*s = o + s - f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k + 0*k - 2*k**2)*(-2 - 2 + 7).\nAnswer: -6*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - v - 45. Let i be y(-6). Which is the nearest to -0.1? (a) i (b) -5 (c) -7 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 + -45. Suppose -2*p - 2*p + 22 = a, 5*p - u = -2*a. Let g be 2 + 5 - 12\/(-3). Which is smaller: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35837223 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*f - 24 = -71*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -52 - 476. Suppose -c = -4*q - 104. What is the closest to -3 in -1\/20, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.362*0.3.\nAnswer: 5.8086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 448*o**2*q*x**2 - 455*o**2*q*x + 2*o**2*x**2 + 2*o**2*x - 7050*o**2 + o*x - 3*x**2 wrt q.\nAnswer: 448*o**2*x**2 - 455*o**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3454*s + 131186. What is a(38)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4529 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k**(-1\/3)*k)\/k))**(12\/7)\/(k**4\/((k*k**(-9)\/k)\/k)))**(1\/47) assuming k is positive.\nAnswer: k**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) -317 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-160)*-4)\/(4\/(-64))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**3\/6 + z**2 + 2*z. Suppose 2*j + 24 = 6*j. What is w(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99266987467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/33 and 107\/45179346.\nAnswer: 496972806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 1\/2 (b) -7\/543 (c) 1\/4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18\/(20\/20) + 21531?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9941363 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 9:40 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 11. Let f = q + -5. Suppose 0 = -f*g + 205 + 115. What is the greatest common factor of g and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (196\/(-84))\/(17\/102).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -59d?\nAnswer: -59e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by 2679399?\nAnswer: -43\/2679399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 4. Let s(f) = 570*f**2 - 720. Give s(p) - 180*y(p).\nAnswer: 210*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i*i**(-1\/13))\/i)*i*i*i*i\/(i*i*i*i**(1\/21)\/i*i*i) assuming i is positive.\nAnswer: i**(281\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*u - 129 + 267 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 899925 and 4260?\nAnswer: 3599700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 129895 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: Let i(z) = -5*z. Let n be (13 - 22)*4\/(-9). Suppose -2 - 16 = -3*m + n*j, -2*m = -5*j - 19. Calculate i(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2*k = -2, -3*k - 12 = -0*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32009 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of -1 - (28778\/4)\/(-18 + 805\/46)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - c)*(11 + 2*c - 6*c + c).\nAnswer: 3*c**2 - 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (15 - (7 + 12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 9. Let u = w - -2.8. Let b = 10.84 - u. What is b rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(2))\/sqrt(12) - (sqrt(72) + -2)**2.\nAnswer: -76 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 6*x + 9. Let w = -11 - -17. Calculate the lowest common multiple of 4\/w + (-20)\/(-6) and f(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.081 in -2\/17, -11, 1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3548 a factor of 9441228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(132) + sqrt(132) + (sqrt(132) - 2*sqrt(132) - sqrt(132) - sqrt(132))*-6))\/(sqrt(588) - (sqrt(588) + (sqrt(588)*-2 - sqrt(588)))*4).\nAnswer: -20*sqrt(11)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1352*t**3 - t**2 + 693 wrt t?\nAnswer: 4056*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*m**3 + 2*m**3 - 7*m**3 + 5*m**3 - 2*m**3 - m**3 + (0*m**3 + 2*m**3 + 0*m**3)*(-18 + 12 - 7) as n*m + f*m**2 + g*m**3 + w and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*h + 4. Let o be (324\/24)\/(4\/8). What is the third derivative of -22*q**4 - 4*q**h + o*q**4 + 0*q**2 wrt q?\nAnswer: 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z**3\/3 + 276*z**2 - 75*z = 0 for z.\nAnswer: 0, 3\/11, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iggggiigiiigi?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -5, -4*l - 37 = -8*i + 3*i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p**2 + 2*p + 6. Suppose u + 4*n = -15, n = -3*u - 2*n - 18. Calculate the remainder when o(u) is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -205*s - 153. What is the units digit of f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -18, -3 in increasing order.\nAnswer: -18, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 15 = 5*p. Suppose -3*c = 2*s - 2*c + 994, -1002 = 2*s - c. Let n = s - -501. Solve n*z + 5 + p = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 439 = -8283. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 + (-85080)\/(-2860))\/((-9)\/99)?\nAnswer: 36\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3277 and 580.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and 26?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3679.65 and -112.86.\nAnswer: -3792.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*h + 8688, -11*p = -13*p - h + 8680. What is the thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c*c\/(c\/(c\/c**(-3)))*c)\/c)**(4\/5))**(-5\/6) assuming c is positive.\nAnswer: c**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 7*m + 5. Let b be 0 + (6 - (3 - 1)). Let i be l(b). Suppose r - i = 3*o + 38, 0 = o + 3. What is the remainder when r is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2256 + -76?\nAnswer: 2170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2 + 12. Is ((-426)\/(-4) + v)*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1378 - -3130. Suppose -3*d - 5*d + w = 0. What is the remainder when d is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.625281 times -177?\nAnswer: 110.674737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (10755\/105 - 102)\/((-108)\/(-7))\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - v**2 + 3*v)*(2 + 5 - 4) - 18*v**2 - 25*v**2 + 2568*v - 2567*v - 1.\nAnswer: -46*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2017893 or 2017881?\nAnswer: 2017881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 17 = 4*k + 3*h, -4*h = -5*k + 29 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(36)\/sqrt(3) + sqrt(12)))**2 + -3.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19756951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 7*b - 10 - 13*b + 9*b.\nAnswer: 3*b + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4025495 and 1.\nAnswer: 4025496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*q - 62*q = 86*q - 216. What is the least common multiple of q and 51?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 2:26 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38647.87 and -0.067?\nAnswer: 2589.40729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 9:46 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 62376.4067 rounded to the nearest one hundred?\nAnswer: 62400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1060 + 141 - 1298 - 328 + 2*t - t to a*t + i and give i.\nAnswer: -2545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97699 is divided by 11429.\nAnswer: 6267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1605, -9437, -22489, -40761, -64253, -92965?\n\"Answer: -2610*g**2 - 2*g + 1007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 28. Suppose -4*i = -h*i - 88. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 262985 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3342*b**3*v - 22332*b**3 + 2*b*v**4 - 2*b with respect to v.\nAnswer: 3342*b**3 + 8*b*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {d: 1, a: 1, q: 2, v: 1, i: 1, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9497233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 28*d - 1722. Determine t(59).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.3, 140.4, 79, -1\/14 in decreasing order.\nAnswer: 140.4, 79, -1\/14, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22479 + -22040.4. Round z to the nearest 10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/3 + 423676*y**4\/3 + 847349*y**3\/3 + 423674*y**2\/3.\nAnswer: y**2*(y + 1)**2*(y + 423674)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6154263*k**3 - 7 + 48 + 6154264*k**3.\nAnswer: k**3 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 4 - -33 - 4) + -19 + 44 + -28\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -11*v + 2*a, -333*v = -690*v + 361*v - 6*a + 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 57\/6 - 1\/(-2). Let n be (s\/(-4) - -1)*-2. Solve v = n*r + 3, -3 + 0 = -4*r - v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 14*v**2 - 14*v + 16. What is t(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/4581 and 73\/2?\nAnswer: 9162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + sqrt(20)) + (-1*sqrt(200) + sqrt(200))\/sqrt(10).\nAnswer: -6*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71354 + 104433. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 7 + 1)*(-1 + 1 - 3*h) + h + h - h + (3*h + 0*h - 2*h)*((3 + 0 - 2)*(1 + 2 - 4) + 1 + 0 + 1) as i*h + x and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1263556416 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -278882 (base 9) to base 8.\nAnswer: -515123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-20)*(-10)\/(-33))\/((-300)\/(-275)). Is 600 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)*o)\/(o*o**7\/o))\/(o**(-2\/7)\/o)**(-2\/3) assuming o is positive.\nAnswer: o**(-83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1260862.87876 - 28.87876. Let a = r - 1260723.0158. Let q = a + -111. Round q to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-3)*42\/42*-2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.17246ng to grams.\nAnswer: 0.00000008817246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 + 614850*s.\nAnswer: -s*(s - 1844550)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18119273723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -304*q - 20178. Does 19 divide y(-108)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 708929 to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*y**5 - 735*y**2 + 3*y + 1792?\nAnswer: 120*y**3 - 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(272)*-1*-2)**2.\nAnswer: 27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*f + 5. Let n = 0.2 - 8.2. Let x = -7.8 - n. Sort f, -5, x in descending order.\nAnswer: f, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13919000 to the nearest 100000.\nAnswer: -13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 69*a + 669. Give s(-19).\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17151885*z**4 - 40952443*z.\nAnswer: 205822620*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - t + 4, -20 = -2*y - 5*t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 12. Let f be x(6). Let n be (15*(0 + 1))\/(15 - 14). Calculate the greatest common factor of n and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 223 + 850. Round u to the nearest ten.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (8 - 23 - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16222628171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 3 + 1\/4*t**4 + 4\/3*t**3 - 7\/2*t**2 - 4*t. Let y be (-5)\/2*(2 - 0). Give i(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2564 divided by -4\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 9:10 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 + 89. Let t = -11.5 + 38. Let x = -27 + t. Which is the nearest to l? (a) 5 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2126 + -338. What are the prime factors of q?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 2*p - 1. Let h be t(2). Let c be 83 - (h + -2 + 3). Let w = c - 56. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 222 = 99. What are the prime factors of w?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (89 - 80) + (0 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 599 + -600 + (0 - -20)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181198416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44, 118, 236, 398, 604, 854?\n\"Answer: 22*y**2 + 8*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(121) - (-2*sqrt(121) + sqrt(121)))*1)\/((sqrt(33) - (sqrt(297) - sqrt(33)))\/sqrt(3)) + -1 + 5)**2.\nAnswer: -16*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 188 = -43. Suppose -x = -7*t + 3*t + b, -t + 3*x = 1. What is the remainder when 159 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2141 = -4*r, 4*o + 2*r = 8*o - 2868. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -83 - 28 + 68 + 4*f. Let r be z(10). What is the remainder when 58 is divided by 2\/r + (-11)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*q - 9, 6 - 30 = -4*q + 4*h. Let v = 2 - 5. Sort v, q, 1 in ascending order.\nAnswer: v, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*s**2 - 13*s**2 + 32*s**2.\nAnswer: -54*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 3:16 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -9. Find the first derivative of -1 - 2 - w*q**2 + 3*q**2 wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 535919 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-1)\/z*z*z)\/z)\/z)\/z)\/(z\/(z**2\/z))*z*(z**(-1\/2)*z*z)\/z*z\/(z\/(z\/(z*z\/z**(-2\/27))))*(z**1)**27*((z*z\/(z**(-1\/4)*z))\/z)**12 assuming z is positive.\nAnswer: z**(1481\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 36855 divided by -819\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 393876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 12. Let g be (-7)\/(p\/80) + -2. Suppose -2*j - g = -2*s + 76, 3*j - 9 = 0. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*v**4 + 0*v**3 + 3*v**3 + 8*v**2 - 3*v**3 wrt v?\nAnswer: 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from kfnnk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 158*d - 162 - 312 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33153470 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 9*j**2 + 7*j - 2. Let a be v(-8). Suppose -a*x + 7*x = 3. Suppose -3*m = -x*o - 18, -m - 20 = -5*m + 5*o. Solve -n - 4*n = -m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 3*d**4\/8 - 4*d**3\/3 - d**2. Suppose 4*s - 3*s = 12. What is the remainder when j(6) is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 10) to base 8.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-2))\/(-21 - -20). Solve -29 = c*l - 21 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, i: 2}. What is prob of picking 1 i and 2 e?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w + 15*w + 82*w.\nAnswer: 87*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 258 and 1946047?\nAnswer: 502080126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-2*-2*1)\/(3*(sqrt(1210)*1 + sqrt(1210) + sqrt(1210) + sqrt(1210) - sqrt(1210))).\nAnswer: 4*sqrt(19)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.7 rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor m + 1\/5*m**4 - 6\/5*m**3 + 2\/5*m**2 - 3\/5 + 1\/5*m**5.\nAnswer: (m - 1)**3*(m + 1)*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Suppose 4*x + 7 - 27 = 0. Determine r so that 5 - x + r - 5*r**u + 6*r**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -9*r + 4*r. Let y = 12 - r. Suppose 4*n + 30 = y*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8300760 - 36?\nAnswer: -8300796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from {y: 7, w: 1, f: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 356238.\nAnswer: 712476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37756785*a**3 - a**2 - 175237203*a wrt a?\nAnswer: -226540710*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -1. Let r be (11 - 1)*b\/5. Is ((-6)\/r)\/((-15)\/(-40)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42371230 divided by 770386?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 15 = 0, -d - 2 = -5*u + 10. Let m be (2 + (d - 6))*(7 + -6). Which is smaller: m or 2\/93?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 15631854?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4852 is divided by 232.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/4 - (-6)\/(-8). Suppose 34 = 2*t - 2*k, f*t + 2*k + 76 = 5*t. Calculate the remainder when t is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2182424?\nAnswer: 2, 23, 29, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + 2 + sqrt(243) + -2 + 3 + 0) + 3)**2.\nAnswer: 1980*sqrt(3) + 6559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34337, 34372, 34407, 34442?\n\"Answer: 35*s + 34302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(405)*-2 - sqrt(405))*4 + 1) + -2)**2.\nAnswer: -648*sqrt(5) + 524881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Let w(f) = 3*f**3 - 4*f**2 + 6*f - 2. Let o be w(4). Suppose z + 0*r - 79 = -r, 2*z = a*r + o. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m**3 - 224*m**2 - 2*m - 45. Calculate u(-32).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*d + 8 - 8)*(1 + 3 - 6 + (-6 + 3 + 2)*(3 + 5 - 4)).\nAnswer: 54*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 r when three letters picked without replacement from eeeerreeeebbrreeetr.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 6*c - 16. Suppose c*z - 3*y = -z + 62, y + 14 = z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200037 divided by -129?\nAnswer: 1200037\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-3)*54\/45.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 9. Which is the nearest to j? (a) 0.5 (b) 0.3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 2831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u**4 + 22671*u**3 + 2654655*u**2 + 77211801*u + 37945071 = 0 for u.\nAnswer: -57, -1\/2, 3893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (26 + 1 + -53 + 44)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(-6)\/15 + 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = 12*c - 54*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.9 (b) -2 (c) 1 (d) 0.63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172442?\nAnswer: 2, 151, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10810 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/36 and 31\/42.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5158890 divided by -1158?\nAnswer: -4455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/4)*n\/(n*n**(-7\/2)))\/(n**(-2\/3))**(-2\/43))\/((n\/(n**(-2\/7)*n))**(-18))**(1\/3) assuming n is positive.\nAnswer: n**(21431\/3612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 3*j**5 - 2*j + 1. Find the first derivative of t(y) wrt y.\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, a: 1, w: 1, n: 1}. What is prob of picking 1 n, 1 a, and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -p. Suppose d + 6 = p*h, 2 = 5*h - 5*d - 3. Suppose m + 2*m + 2*y = 139, 127 = 3*m + h*y. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 + 2*h**5 - h**5 + (-2*h**3 - 32*h + 32*h)*(-h**2 - 2*h**2 + h**2 + (-2*h + 2*h - 2*h)*(3*h - 4*h - h) + 4*h**2 + 0*h**2 - 3*h**2).\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57607 + 56441.73. Round a to the nearest ten.\nAnswer: -1170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 19 + (1 - 1 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in -0.27, -1\/31, 0.09?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*-13*(-12)\/2184.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90909.11 days to hours.\nAnswer: 2181818.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 729 + -737. Let j(g) = -g**2 - 8*g - 2. Give j(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 + 12*i**2 - 46*i + 318. Let k be l(6). Which is smaller: k or 61?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**3 - 4252*o**2 + 180336*o - 794880 = 0.\nAnswer: -1104, 5, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 217, 327, 435, 541?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**3 - 2*c**2 + 2*c**2)*(13 + 14 - 26) + 7*c**3 - 2*c**3 - 3*c**3 + 2*c**2 - c**3 - 2*c**2 in the form y*c**3 + f*c + o*c**2 + s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r - 2*r**4 + 341 + 306 - 619 to the form m*r + j*r**3 + q + t*r**4 + h*r**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -23. Let r = -14.1 + 5. Let f = p - r. What is the third biggest value in -0.2, f, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 0 - (26 + (-21 - 46))) + -2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5051?\nAnswer: 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -54. Solve 0 = 3*z - q - 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19454 divided by -9727.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1675 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 359537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 3, 44 in descending order.\nAnswer: 44, 22, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 5*c + 4*c)*(36*c**3 + 20 - 31*c**3 + 0).\nAnswer: -5*c**4 - 20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -1. Let j = -1786 - -1787.998. Let b = j + a. Round b to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(((-56)\/(-40))\/(-7) - (-22)\/10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**7\/6300 + m**6\/1350 - 26*m**3\/3 - 4. Let h(x) be the third derivative of r(x). Factor h(y).\nAnswer: 2*y**2*(y + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 17*g = 6625. Let s = g - -3396. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5209294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvjgvpm. Give prob of picking 1 j and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2 + 18*y + 81 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.2013 minus -1245.3?\nAnswer: 1440.5013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 4*f**2 + 0*f**2)*((1 - 5 + 3)*(1 + 3*f - 1) + 4*f - 2*f + 0*f + 260*f + 406*f + 229*f).\nAnswer: -1788*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjss when four letters picked without replacement from sjjlssujsj?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/3 - 44664166*a**3\/3 + 29776118*a**2 + 312649198*a\/3 + 178656680\/3 = 0. What is a?\nAnswer: -22332085, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 4*s + 3*w, -s - 3*s + 3*w = 65. Let v = -12 - s. Let i = 67 + -47. Calculate the greatest common factor of i and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.9 + -27. Which is the nearest to w? (a) 3 (b) 1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)\/r)**45*((r**0*r)\/r)**(-10\/7) assuming r is positive.\nAnswer: r**(-135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -23*c - 25 + 45*c - 17*c + 4. Is m(26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 654*g + 655*g + 6 = 0, 4*g = -2*y - 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -21*b - 9. Let t = -1 - 7. Let k be z(t). Suppose 0 = 4*c - k - 69. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 5*i - 12. Let w be g(-7). Let l = 9 + w. Let f(o) = -o**2 + 11*o + 4. Let n be f(l). Solve 0 = n*p - 5*q, 0*q - 2*q = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -337? (a) 0.15 (b) 0.6 (c) -0.3 (d) -2\/9 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0 + 0*f**2 + 1\/40*f**5 + 1\/3*f**3 + 14*f + 1\/6*f**4. Let d(p) = 0. What is p?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 16512.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4590 divided by 6\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4374*v**2 + 22695*v + 29410. Let w(c) = -10935*c**2 - 56736*c - 73524. Let n(q) = 12*a(q) + 5*w(q). Factor n(o).\nAnswer: -3*(27*o + 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 - 1. Suppose -4 = y - 5. Let o be d(y). Suppose -3*n + o*n - 6 = 0. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - 105. Let u = 118 + y. Which is the closest to u? (a) -3 (b) 2\/21 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -130?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41*o*v + 14*o + 12*v - 25 wrt v?\nAnswer: 41*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 + 0.55. Let y = -0.02 + 3.02. Which is the nearest to -0.1? (a) w (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 0.3, -4, 6\/11, -7.873, -11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 113*n = 4197 - 155 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 5420.\nAnswer: 1\/1084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49 times -3?\nAnswer: -1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10036*c**4 - 3*c**3 + 85215*c wrt c?\nAnswer: -120432*c**2 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -406407\/20 + 20325. What is the common denominator of 5\/15*(-534)\/16 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 2*z**3 + 2*z**3)*(-6*z**2 - 2585 + z**2 + 2855).\nAnswer: -10*z**5 + 540*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29788 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + (-199)\/(-2))*52\/39. Let a = u - 129. Suppose -a*c = -3*c - 352. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6292)*-1*2)\/(-4*(sqrt(100) - (sqrt(100) + 2*sqrt(100)))).\nAnswer: -11*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 10*a**2 + 13. Let q be c(-10). Suppose 22*v - 15*v**2 - q*v + 21*v**3 - 15*v = 0. Calculate v.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 2, s: 1, f: 2, l: 2, w: 1}. What is prob of sequence sw?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9154412382598 - -1.\nAnswer: 9154412382599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from {z: 9, a: 1, g: 1, i: 1, d: 6, s: 2}?\nAnswer: 27\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821957283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + g - g)*(-1 + 3 + 0) - 4 + 4 + 11*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - -2. Let l be 9\/(-6)*o\/(-9). Calculate the common denominator of 7\/2 and -1*l*(-259)\/252.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 0.515, -2\/17793 in descending order.\nAnswer: 22, 0.515, -2\/17793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v. Let p(c) = 50*c. Determine q(p(r)).\nAnswer: -100*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -18, 400, -1\/2, -0.2, -4 in descending order.\nAnswer: 400, 6, -0.2, -1\/2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1225, -1\/4, 0.2, -264.\nAnswer: -264, -1\/4, 0.2, 1225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.068 + 0.068. Let a = -1.08 - -0.91. Sort a, b, -0.5, -5 in decreasing order.\nAnswer: a, -0.5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 995547*c + 5973298. Give n(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -101998, -105192, -108386?\n\"Answer: -3194*x - 98804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 0 + 1\/27*m**3 + 1\/54*m**4 - m - m**2 + 1\/270*m**5. Let b(q) be the first derivative of f(q). Factor b(z).\nAnswer: 2*(z + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*v = 42 - 8, 3*v = -2*n + 7. Let x be 2\/7 + (-13854)\/(-21). Let b be (2\/4)\/(6\/x). What is the greatest common factor of b and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 40 = 2*w + 2*w, 4*w - 5*r - 56 = 0. Let z(i) = i**3 - 3*i - 2. Let y be z(3). Suppose -2*k = -3*k + y. What is the remainder when k is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**3 - 131*p - 354. Calculate j(-3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 1, a: 2, u: 1, k: 1, t: 1}. What is prob of sequence tg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -685 + 690. Which is the closest to 0? (a) f (b) 4\/5 (c) -0.3 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 67?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57470184*t**5 + t - 25906814 wrt t?\nAnswer: -1149403680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -0.1, -4, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 609 = -4*b, -4*r = -35*b + 39*b - 644. Is b less than 778\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 x when four letters picked without replacement from {o: 3, x: 1, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**4\/12 - q. Let i(g) = 3*g**2 - 15*g**2 + 10*g**2. Determine f(i(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 5, 1\/2, 1, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 420*s**6 - 3*s**2 + 25.\nAnswer: 50400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2475 or -2435?\nAnswer: -2475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.68167 + -28868.31833. Let h = v + 28869.23811. Let t = -0.24 + h. Round t to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 0, -32, 352.\nAnswer: -32, -2, 0, 4, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q - q**2 - 3*q**3 + 19 + 0*q**2 + q**4 + q**3 - 21 as w*q**4 + c*q**2 + x*q**3 + a + f*q and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -33 + -1 - -49.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 3 (b) 0 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) 11\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 158459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 6045360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 137*k**2 - 10*k + 7. List the prime factors of h(-11).\nAnswer: 2, 17, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 14*a - 3, -4*m - 3*a = -11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80816365 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 441*i*l*p**2 + 2*i*l*p + i*p**2 - 1128*l*p**2 - 1578*l - 11*p - 8 wrt p?\nAnswer: 882*i*l + 2*i - 2256*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2614 + -2621.7. Is 9 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -14, -5 in decreasing order.\nAnswer: 0, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**2 + 1. Suppose -14 = -2*q - 10. Let t(v) = v**2 - 2 + 0*v**q + 2. Let o(l) = f(l) - 5*t(l). Determine o(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-2\/5)*h\/h**2*h*h**(1\/4)\/(h\/(h\/((h*((h**(2\/3)*h)\/h)\/h)\/h)*h*h)) assuming h is positive.\nAnswer: h**(239\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r - 2 + 32 = 0. Find the third derivative of 18254*l + 120*l**r - 18254*l - 45*l**5 wrt l.\nAnswer: -2700*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111657800 divided by -55828900?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -9*v - 5. Let a be 4 - v\/(2\/(-4)). Suppose 35 = -5*i + 3*h, -i - 5*h - 9 = -a. Is i less than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/114 less than or equal to -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27637623 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -87.468*0.3\nAnswer: -26.2404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -2, 21 in ascending order.\nAnswer: -2, 0, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/4 - 311*b**2 + 95465*b + 783752 = 0 for b.\nAnswer: -8, 626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -f + 134. Does 28 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-119)*(-2)\/(-2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/12)\/(8\/(-24))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.79903 - -0.13997. What is t rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -10*p**2 + 141*p + 507. Let l be c(-19). Is -5782 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/6 + 1760*l**2\/3 + 3523*l\/2.\nAnswer: -l*(l - 3523)*(l + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 0*h**4 - 3*h + 0*h**2 - 1\/10*h**5 - 1\/6*h**3 + 0. Is j(-2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prkp when four letters picked without replacement from erekkwwpeewwepwke?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(18\/(-4)))\/((-58)\/522).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.69 times 13108?\nAnswer: -35260.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 249*b + 534*b - 5 - 4 in the form n*b + f and give n.\nAnswer: 783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-6*(sqrt(160) - -2*sqrt(160) - sqrt(160)) + sqrt(160) - sqrt(160)) + sqrt(160))\/sqrt(5) + 3)**2*-1 + 5.\nAnswer: -7757 + 528*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248558 is divided by 5648.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -71281*b*h**3 - b - 57*h**3 - 2*h wrt b?\nAnswer: -71281*h**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48.2 - 4556.\nAnswer: -4604.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2\/4 - 25289*s\/8 + 4215\/8 = 0. What is s?\nAnswer: -4215, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -71*l**3 + 56*l**2 - 14*l - 7. Let h(u) = 24*u**3 - 19*u**2 + 4*u + 2. Let d(n) = 14*h(n) + 4*m(n). What is the third derivative of d(b) wrt b?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59660693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3230 - -2012.6608.\nAnswer: 5242.6608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, -3, -9, 3 in decreasing order.\nAnswer: 3, 1, -3, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1 + -1 + -4. Suppose -5*p - z = 22, 2*p + 0*z = -2*z - 4. Let q = b - p. Solve -2*a = 4, 3*g + 4*a + 0 - q = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*v + 315 = -6*g, 83 = -g + 3*v. Let m = g - -83. Suppose -2*c = 4*n - 98, -5*c = -m*n + 8*n - 240. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (11 - 0) - ((-43 - -13) + 7)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*b + 0*b - 8 = 0, 4*h + 4*b - 8 = 0. Let y be (-1 - h)\/1 - 2. Let q = 10 - y. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(17) + sqrt(833)*-4 + sqrt(17) + 5 + sqrt(102)\/sqrt(6))**2.\nAnswer: -31950 + 750*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/43 - -4077\/172. Find the common denominator of (6171\/(-5082))\/((-2)\/7 + 0 + 0) and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4811544.\nAnswer: 2, 3, 17, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 52. Let p be 42\/(-28)*(-4 + 2 + 104\/48). Which is the smallest value? (a) x (b) -1.3 (c) -4\/5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-2\/3))**(1\/16) assuming x is positive.\nAnswer: x**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-5))\/(470\/17625). Solve -o + a = 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.74 - -0.66. Let y = n + 0.08. Let r = 11\/3 + -4. What is the nearest to r in 1, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 13*b**2 - 303*b + 1100. What is g(16)?\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50022 divided by 5558.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 17 + 26 + 8*d - 10*d.\nAnswer: -2*d - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -839327868648 - 1.1.\nAnswer: -839327868649.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100.3 + 55.7. Let y = -45 - q. Let w = -3 + 2. Which is the third smallest value? (a) w (b) y (c) 11 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4 = 5*y. Suppose 3*l - 3*j - 30 = 0, 4*l + y*j - j = 54. Calculate the remainder when 22 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1071500.6 to the nearest ten thousand.\nAnswer: -1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 12 - 37 = 0. Let o(u) = u**2 + u + 3. Let b be o(d). Is 12 a factor of (2 + -1)*1*b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 27 = -5*v. Suppose -4*u + 36 = 3*s - 7*s, 4*u - 21 = s. Suppose -1 = 2*g + 3, g = -u*o + 2. Solve v*i = 19 + o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**3 + 5*y. Let v(l) = l**3 + l. Let r be (-12)\/10*55\/(-33). Suppose 4*s = r*p - 14, s - 9 = -0*p - 2*p. Determine p*v(b) - a(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(3)*-5)\/(sqrt(8) - 4*1*sqrt(8)))**2.\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - i. Which is the third biggest value? (a) i (b) 2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 77.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + b = -2, 3*b = -5*i - 84 + 71 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1908 and 0.1.\nAnswer: -190.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, m: 2, u: 3, z: 2, t: 10}. What is prob of picking 1 u and 1 t?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*v + 2, -32*m + 19 = 3*v - 27*m. Sort -306, v, 2, -3, -11.\nAnswer: -306, -11, -3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - ((-26)\/6 + 2))\/(228\/8892)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3176.6257 less than 0.4?\nAnswer: 3177.0257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -26 + -14 + -5 + 10 - 1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 465.5 - 465. Let v = 181 + -180.6. What is the second biggest value in w, -2, 0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*g**2*l - g**2 - 12*g*l - 617*l - 128153 with respect to l.\nAnswer: 14*g**2 - 12*g - 617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*c + 23*c - 8. Let i be 2\/4*(c - -118). Suppose i = 2*n - 42. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**3\/3 - g**2\/2 + 10*g + 1. What is the tens digit of c(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 50?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 5*t**2 + 3*t - 1. Let w(o) = -4715*o**3 + 2356*o**3 - 4*o**2 - 2*o + 2358*o**3. Calculate 4*i(y) + 5*w(y).\nAnswer: -y**3 + 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 - 92*r + 379. Calculate t(26).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Suppose 5*d = -0*d. Let w be s(d). Solve w = -4*t - 0 + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 176039682 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26262583 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6728 + -6723. Solve 4*p + 9 = -5*o - 2, 0 = g*o + 3*p + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42187.76 nanograms to tonnes.\nAnswer: 0.00000000004218776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3389, 6816, 10245, 13676, 17109?\nAnswer: 20544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1e43f (base 16) to base 15\nAnswer: 26ae7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 0 - 2 - 369*d + 6 - 7 + 372*d. Suppose -4*f = 2*t - 8, 3*f - 5 = -t - 0. What is b(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scwnxcqxwnwxqc. What is prob of sequence ncw?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 15 + 15. Let m(j) = j**2 + 4*j - 4. What is the units digit of m(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 4878 - 4789 = -3*b, 276 = -3*u + 5*b - 17*b for u.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(17) + 2)*6 - ((sqrt(17) + sqrt(425) + 4)**2 + sqrt(17))) + -5.\nAnswer: 86*sqrt(17) + 1227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 6*b + 9. Let h be d(-7). Solve 0 = o + 3 + h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 108 = 118. Suppose 2*g - 82 = -26. Calculate the remainder when g is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.45291 to 3 dps.\nAnswer: -0.453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**5\/4 - v**4 - 7*v**3\/4 + 5*v**2\/2 = 0?\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (153*x + 601 - 601)*(1 + 3 - 2 + (4 - 4 - 1)*(-3 + 3 + 1)) as w + a*x and give a.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s + 203 - 3073 = -210. Suppose 2*y - 4*t - 12 = -2, -2*y + 3*t + 7 = 0. What is the nearest to -0.1 in -1\/5, y, s?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.1 (b) -0.3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 17*s - 43. Calculate w(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, p: 3, x: 7, i: 2}. What is prob of picking 1 p and 2 x?\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69.838 - 77.838. Let g = 3 - 6. Sort g, u, 2\/13.\nAnswer: u, g, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -29*a**2 + a - 12. Let j = 6 + 7. Let g be d(j). Round g to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j - 1110. Let h(x) = -471*x**2 - 4. Give f(h(d)).\nAnswer: -942*d**2 - 1118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -5, 68, 7, 2 in descending order.\nAnswer: 68, 21, 7, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2438.437 litres in millilitres?\nAnswer: 2438437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54996 is divided by 18315?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 1\/2, 1, -4, -3 in descending order.\nAnswer: 46, 1, 1\/2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 37. Let j be (i\/(-12))\/(-4)*-6. Let y(r) = -2*r - 4. Calculate y(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18607*x*y - 43*x*z**2 - 3*y*z**2 - 15*y*z - 98*y + 31*z**2 - 4*z wrt x?\nAnswer: -18607*y - 43*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 + 6*t**2 - t**4 + 3*t - 8*t**2 - 3*t**4 - 3 as n*t**2 + r*t**3 + k + v*t + d*t**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35198335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 - 22*z + 1839. What is o(34)?\nAnswer: -2377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*h = 135, -2*l + 23*h + 90 = 18*h. What is the least common multiple of 6 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -194 + 186 - (0 + -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 57676.8mg?\nAnswer: 0.0000576768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3498, 3427, 3356, 3285, 3214, 3143?\nAnswer: 3072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 + 169 = 6*y. Put -1, -4, y, 3 in ascending order.\nAnswer: -4, -1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 31*l + 137. Give r(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 11:36 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 323011 + -120?\nAnswer: 322231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12, -90, -284, -654, -1260, -2162, -3420?\n\"Answer: -10*d**3 + 2*d**2 - 14*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-1 - 2)*56\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 3. Suppose 2*r + 13 = 5*d, 2*r + 3 + 7 = 4*d. Calculate the highest common divisor of i and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 14*x + 13. Let b(k) = -14*k - 14. Calculate -4*b(r) - 5*f(r).\nAnswer: -14*r - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 20 = b. Let i = b + 7. Differentiate -6 + 2*n**i - 1 + 4 + 2 with respect to n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m - 4*k = -22*m - 7, -2*k - 37 = -5*m. Calculate the remainder when 1491 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - l - 1. Let y(q) = -4*q**2 + 4*q + 5. Let t(j) = -3*k(j) - y(j). Let d be (-3)\/(-12) + 33\/12. List the prime factors of t(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 9:11 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 17*g + 42. Let i be z(19). Suppose -20 = 5*k, -i*h - h + 259 = -k. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132262891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63916 - 10682 = -6*b - 0*b. What is the remainder when b is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521 (base 7) to base 13.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 16*v**3 + 6*v**2 - 49*v + 129. Calculate u(3).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 23109874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-28)*((-52)\/24 + 1).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -150024367 from 1048.\nAnswer: 150025415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + h = -78 - 75, 0 = v - h - 42. What is the second derivative of -14*o - 18*o**5 - 19*o + v*o wrt o?\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q = 24. Let h be (q + -1*2)\/(-2). Let o = h + 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130480 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -800605, -2, -5, 0, -1 in descending order.\nAnswer: 0, -1, -2, -5, -800605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 11:15 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**3 + 1230*y**2 - 626*y - 3040. Give r(-308).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (0 + 6 + -6). What is the nearest to 11 in 2\/3, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6727 and 930062.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 867522 a multiple of 757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in centimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 - 48. Let w be 20\/u - (-7)\/3. Suppose -5*m = -15, -4*y + m = -w - 14. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*y + 133 + 170 = -232 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 29*x - 33. What is the units digit of p(33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1958000 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f - 962 - 9275 = 0. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 15*h**2 - 15*h + 15. Let c(k) = -k**3 + 4*k - 1. Let f be c(-3). What is the least common multiple of s(f) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-10\/9)*m*m\/m**(-9))\/(m\/((m*m**(-2))\/m)*m*(m**(2\/17)\/m)\/m*m) assuming m is positive.\nAnswer: m**(1036\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-260)\/(-2860)*(-2 + 24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**2 + 12*h - 12*h)*(4 - 6 + 4) - 2*h**2 - h**2 + 5*h**2 - 5*h**2 + 4 - 4 + (2 - 2 - 3*h)*(-6 + 6 - 4*h) in the form o + i*h**2 + f*h and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(81 - 17 + 0)*(-5*s**3 - s**3 + 3*s**3).\nAnswer: -192*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5810 + -5794. Let t = 56 - 40. Calculate the smallest common multiple of t and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/6)\/(v*v\/(((v**(-2\/31)\/v)\/v*v)\/v))*(v**(-5)*v)**(-2\/35))**26 assuming v is positive.\nAnswer: v**(-310531\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21890599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6765\/22)\/((-1)\/(-2)). Let t(g) = g**2 + 2*g - 1. Let v be t(1). Suppose -3*l + 5*y = -347, -v*l + z = 3*l - y. List the prime factors of l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 472840 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -15.11. Which is the third biggest value? (a) u (b) 1\/5 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, n: 1, d: 1, s: 2}. What is prob of sequence sn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1786)\/(-165205) - 9803\/(-185).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3 + sqrt(72)*2)**2*-5 + ((sqrt(72)*1 - sqrt(72))*-5*-1)**2 + 1) + 2.\nAnswer: -5934 - 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1437 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r**4 + 3 - 506*r**2 + 507*r**2 - 1 - 2 + 29*r in the form w*r**2 + s*r**3 + g*r + l + q*r**4 and give g.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*h - 205 = 0, 0 = r - h + 38 + 54. Let d be 6\/(1 + 85\/r). Let p be (-2)\/d + 40\/60. Is 0 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 1. Let j = -4 - q. Let f(v) = v + 2*v + 2*v. Determine f(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 + (6 - (-1 - -4 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 - 3. Let g(t) = -t**4 - 3*t**3 - 4. Let u be 32\/18 + (-2)\/(-9). Let p(k) = u*g(k) - 3*m(k). What is the derivative of p(l) wrt l?\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247275 - 12*i**3 - 247275.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3456768 and 9.\nAnswer: 10370304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a**3 + a**2. What is the smallest common multiple of 12 and q(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 616.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*l - 486*l - 794*l = 54811 for l.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79592 is divided by 686?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 7*x**3 + 15 - 2*x**3 + 2*x**4 - 2*x + 17 - 54 + 2*x**2 in the form h*x + i*x**3 + a*x**2 + o + d*x**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 49, 207, 471, 841?\n\"Answer: 53*j**2 - j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 16, i: 2}. What is prob of sequence lil?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 15986 = -7*b - 7994. Sort 4, -1, b in decreasing order.\nAnswer: 4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*s + 120*s - 234*s = 444 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4489\/2814 - (-2)\/(-21))*6 - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 742 + -746.628. Let r = x + 16.552. Let u = r - 12. Round u to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f + 188 + 7*f - 661.\nAnswer: f - 473","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5339554 by -163.\nAnswer: 32758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6299085 divided by -32303.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -1, -6, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 97*c**2*s + 216856*c**2 + 467*c*s - 29*c + 2*s wrt s?\nAnswer: 97*c**2 + 467*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 + 4 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h**2 + 5*h**2 - 2*h**2)*(-17*h - 132*h**2 + 9*h**2 + 14*h + h**2) to the form a*h + p*h**2 + u + n*h**4 + k*h**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0221 - 0.0221. Which is the second smallest value? (a) -0.2 (b) t (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 38096476?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2))**(-1\/15)\/(u**(-1\/8)*(u*u**(-2\/7)*u*u*u)\/u)*((u\/(u\/u**(-1\/4)))\/u*u**(-4\/5)\/u)\/(u**0*u)**(2\/9) assuming u is positive.\nAnswer: u**(-14687\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52227?\nAnswer: 3, 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 t when three letters picked without replacement from {n: 6, t: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*z = -y + 234*z - 8, -3*z = 14*y - 16*y - 4*z + 19 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (70 - (22 - (-7 - -23 - -7))).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304 and 49125982?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 108221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262515531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23548444271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -4, 7.24, -1\/3749?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/12? (a) 2 (b) -0.3 (c) 4 (d) 2828 (e) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(21\/2*(-3)\/(-9)). Let y = -0.9 - -7.9. Let x = y + -7. Which is the second smallest value? (a) -1\/6 (b) o (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -76*h**2 + h. Let s(l) = l. Let u(z) = 145*z. Let p(g) = 116*s(g) - u(g). Calculate p(q(m)).\nAnswer: 2204*m**2 - 29*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148 and 754393?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-291383325)\/1332)\/(6\/(-6400)). What is i rounded to the nearest one million?\nAnswer: 233000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -59*d - 3018. Let y(w) = -50*w - 3017. Calculate 6*a(k) - 7*y(k).\nAnswer: -4*k + 3011","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*c**2 - 231*c**2 - 324*c**2.\nAnswer: -733*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4338867 times -0.1?\nAnswer: -433886.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7*k - 655. Let q(w) = 9*w - 659. Determine 6*l(o) - 5*q(o).\nAnswer: -3*o - 635","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13630664 plus -641.4?\nAnswer: -13631305.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18873 (base 12) to base 16\nAnswer: 8bd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1764459.\nAnswer: 3, 196051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -5*t + 2*t. Let w = t - 17. Suppose -7*z = -w*z - 350. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128.93 + 0.07. Let m = -129.0001414 + q. What is m rounded to six decimal places?\nAnswer: -0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*h**2*m**2 + h**2 - 4*h*m + 3*m**5 - 11*m wrt m?\nAnswer: 38*h**2 + 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2793?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -6. Suppose 3*f - 3*t = r, -2*t = 3*t + 25. Put 3, f, -5 in increasing order.\nAnswer: -5, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1\/10, 14\/11?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -419 + 923. Let q = k - 287. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 + 5 - -3)\/3. Suppose 4*b = -2 + 18. Solve 2*a + b = -z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z = -3*z + 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -453112436 + -2?\nAnswer: -453112441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 354176440 to the nearest integer?\nAnswer: 18820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 98*c - 95*c = 12, -8 = -2*c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306*r = 300*r - 294. Let h = -44 - r. Solve 7*b - z - 17 = 2*b, 0 = -b - 4*z - h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbx when three letters picked without replacement from {b: 1, x: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.549 in 477, -2\/7, -0.5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 176293780 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from {o: 2, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68 (base 15) to base 2.\nAnswer: 1100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 3*v**2 + v + 2. Let x be a(2). Let p = -7377 + 7386. Solve -5 = r, d + 0*r + r + p = x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 574691709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2 + 1. Let c = 0 - 2. Let b = 0 - c. Sort b, -0.2, t.\nAnswer: -0.2, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 + 2*l**3 + 34*l**3 - 6*l**3 - 2 - 15*l**3 - 11*l**3 - 22*l**2 + 13*l to k*l**2 + v + g*l**4 + w*l**3 + m*l and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 9*p**2 - 15*p + 6. Let b be r(7). Let d = 221 + -18783\/85. Which is smaller: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*b + 14. Let k = b + -10. What is the third derivative of -163*i**2 - 10*i**k + 149*i**2 - i**6 wrt i?\nAnswer: -1320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.006 + -29.994. What is the nearest to 1 in -3, i, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 411*u + 192*u + 44*u.\nAnswer: -175*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0721457 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35952685.\nAnswer: 5, 7190537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 2.5. Suppose 5*h = -0*h - 2*s - 18, 2*h = -2*s - 6. Which is the closest to 2\/5? (a) h (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -589*h + 146. Let f(c) = -3*c. Determine a(f(i)).\nAnswer: 1767*i + 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.3 - -10. Let h = d + 0.8. Let z = h - -1.61. What is z rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 212000200?\nAnswer: -212000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -3.\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -42*j + 48. Let f be s(-8). Let u = f - 372. Solve 4*d = u, -4*d - d = 5*z - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)*f*f**(-13))**(-18)*((((f\/(f*f**12))\/f)\/f)\/(f*f*f**(-2\/23)\/f))**(26\/3) assuming f is positive.\nAnswer: f**(6814\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5648)\/(-52))\/4 - (-4)\/(-26). Let j = b - 22. Suppose 2*a - 232 = -4*v, v - 148 = -2*v + j*a. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence susl when four letters picked without replacement from ussssuuussulsusls.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**5\/90 - x**4\/18 + x**3\/9 - x**2. Determine m, given that g(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-13)*c)\/(c**(-4\/27)*c))\/((c\/c**(3\/2))\/c*c**8*c) assuming c is positive.\nAnswer: c**(-1045\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 14187960.\nAnswer: -1\/4729320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -231 and 755.\nAnswer: -174405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3 - 360*m**2 - 32400*m = 0 for m.\nAnswer: -180, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -3886134?\nAnswer: -2\/1943067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.39 and 0.2557875.\nAnswer: -1.122907125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v - 3467*v**2 - 161*v**2 - 2*v - 4*v to the form p*v**2 + j + o*v and give p.\nAnswer: -3628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24623270 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -191235, -764733, -1720567, -3058737, -4779243?\n\"Answer: -191168*i**2 + 6*i - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25748 by 6437.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -120 (c) -4 (d) 74.4 (e) -72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 6. Let w(j) = 2*j**2 + 5. Let x be (-4)\/(1 + -2)*-2. Let m be 7 - (5 + -8 - -8). Let q be m\/(20\/x + 2). Determine q*n(z) - 5*w(z).\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 + -42. Suppose 5*o = -o + f. Let y be (-980)\/(-56) + (1 - 10\/o). Solve -y = -3*d - d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -149390, -149551, -149712?\n\"Answer: -161*g - 149229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*v - 201*v = -4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1 - (122 + -115).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - 1424121?\nAnswer: -1424204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29412.9 and -0.04.\nAnswer: -1176.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**3 + 91*a**2 + 308*a - 35. What is q(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2961*c**2 + 28223*c**2 + 1 + 5765*c**2 - 1.\nAnswer: 31027*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -10 + 2, 0 = 4*i + w - 558. Suppose 0*c + 5*c = i. Calculate the highest common divisor of 224 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 40 = 3*b. Let g = 4 - b. Let l be ((-20)\/3)\/(g\/27). What is the greatest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -801972.\nAnswer: -1\/801972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lliaiiiipqaplaniai. Give prob of picking 1 p, 1 i, 1 n, and 1 q.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 7*c**2 - 9*c - 7. Let k be i(-8). Let u = 7 - k. Calculate the remainder when u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**1)**50\/((f*f**(-4\/9)*f*f)\/f**(2\/3)) assuming f is positive.\nAnswer: f**(883\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -28030, -27986, -27942, -27898, -27854, -27810?\n\"Answer: 44*c - 28074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 18 = -4*z. Let c be (-11)\/(231\/90) - -4. What is the second biggest value in z, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4f (base 16) to base 10\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 + 5*m**2 + 10*m - 12. Does 6 divide v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vvvvssvsvvvvs.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3368*z = 3273*z - 1615 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 58. Let k be (-3 + h\/(-4))*2. Suppose 0*p = -5*f + 2*p + 374, -k*p - 84 = -f. Calculate the remainder when f is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3*(-2729)\/4*49\/((-2646)\/(-576))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**2 + 2*h - 3. Let c be 1\/4 - (-30)\/40. Let p be w(c). Suppose 3*l = 4*x + 1001, -p*x + 635 + 681 = 4*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(36\/(-1)))\/((-2)\/6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-2)\/(6\/(-5)). Let c = 328 - 324. Put c, -4\/5, w in descending order.\nAnswer: w, c, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/200)\/((-9)\/(-8))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 966.\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*a + 287*a + 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 4829.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2639 and -0.04?\nAnswer: 105.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 38306.89 nanometers?\nAnswer: 0.00000003830689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97*n**5 + 2*n**4 - 7*n**3 + 26801*n**2 wrt n?\nAnswer: -5820*n**2 + 48*n - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2785? (a) 3 (b) 4 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjrjyjjjryy. What is prob of sequence yjjj?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = 7*n + 105. Let g = n + 38. Solve g*y = 5*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -12. Suppose 13*c = 16*c - f. Find the second derivative of -90*j**4 + j - c*j + 100*j**4 wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**3 + 10*k**2 - 17*k - 6. Let q(x) = -x**2 - 7*x + 6. Give -17*q(y) - 6*t(y).\nAnswer: -y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 293*w**3 - 68*w**5 - 293*w**3 + (0*w**4 - 2*w**4 + w**4)*(4 - 2 - 1)*(0*w - w + 0*w) + (-4*w + 4*w - w)*(0*w**4 + 3*w**4 + w**4).\nAnswer: -71*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5290*u**4 - 18032*u**3\/3 - 4202*u**2\/9 + 9152*u\/9 + 512\/3 = 0.\nAnswer: -16\/69, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**6\/720 + y**5\/240 - 4*y**3\/3 + 5. Let m(i) be the third derivative of w(i). Factor m(u).\nAnswer: u*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -9 + 1 + -1 + 299 + -272.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {r: 3, a: 1, n: 3, v: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 16 (b) -0.007 (c) -5 (d) 5\/4 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-38) - (20 - (-137632)\/(-6897))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 6*h**2 - 6*h + 1. Let c be j(-5). Let m = 9 - c. Find b, given that -4*b**2 - 3*b**5 - 34*b**4 + b**2 + 25*b**4 - 9*b**m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-2)*508\/635 - 23.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411139*s + 205565*s + 572*s**3 + 205574*s.\nAnswer: 572*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.059 + -0.351. Let y = s - -0.01. Let i = -0.2 - y. What is the third smallest value in i, -3\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 69*c + 13. Let g(v) = -34*v - 6. Let h(x) = -6*b(x) - 13*g(x). Let k(f) be the third derivative of -f**4\/12 + 233*f**2. What is h(k(q))?\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/170 and -169\/1761030.\nAnswer: 1761030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/7)\/(((-9)\/(-3))\/(-3)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583 greater than or equal to -3\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.68344 months?\nAnswer: 0.047362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfb when three letters picked without replacement from {f: 1, g: 3, w: 7, b: 1}.\nAnswer: 7\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**1*d*d*d)\/d**3)**(-3\/17)*(((d*d\/d**(-2))\/d)\/d*d*d**(-1\/4))\/((d\/d**(-2))\/(d*d*d\/(d*d**(1\/3)\/d))) assuming d is positive.\nAnswer: d**(421\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.11856.\nAnswer: 0.035568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -24, 5, -0.5, -0.314?\nAnswer: -0.314","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*u + 58386 = 54915 for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4426*u**4*w - u**3 + 2*u**2*w - 82*u*w - 4*u + 2*w wrt u.\nAnswer: -53112*u**2*w - 6*u + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 54.235 in decreasing order.\nAnswer: 54.235, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 992 = -4*w + 1062, -4*w + o + 67 = 0 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -73*k**3\/6 + 87*k**2\/2 - 98*k + 117. Let c(t) be the first derivative of d(t). What is the derivative of c(f) wrt f?\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/21*2 + (-224649)\/353430. Let b = 1\/330 - c. Suppose 8\/17*h + b + 2\/17*h**2 = 0. What is h?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1884136*u**6 - 7*u**2 - 14172*u - 6 wrt u.\nAnswer: -226096320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**5\/9 - 38*l**4\/9 + 88*l**3\/3 - 752*l**2\/9 + 976*l\/9 - 160\/3 = 0?\nAnswer: 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + -3)**2 + 1 + -2.\nAnswer: -42*sqrt(2) + 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.496 - 1.504. Let r = -0.2 + 1.7. Is d smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 31 = 2*b - 0*b, 39 = 2*b + 5*d. Let i = -1 + b. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.178 + -0.078. Which is the closest to -2\/7? (a) -2 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 776*z - 776*z - 10*z**2 + 35*z**2 - 16*z**2.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -263 + -7466814?\nAnswer: -7467177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1937 = -17*r - 611. Calculate the remainder when r is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -5\/3*t**6 + 16 + 0*t + 0*t**5 + 0*t**4 + 3\/7*t**7 + 0*t**2 - 49\/3*t**3. What is the third derivative of r(f) wrt f?\nAnswer: 360*f**3 - 600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 22 - 6 + (-1 - 3 + 2)*(2 + 0 - 4))*((-4*p + 4*p + p)*(2 + 0 - 4) + p + 0 + 0 - 2 + 2 - 4*p).\nAnswer: 130*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j - 17*j + 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 74, -397\/5, 5, 0.3, 31?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(1\/21)*s))**(-3\/8) assuming s is positive.\nAnswer: s**(1\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 5*l - 5. Let a be l\/(-4) + (-38)\/(-8). Suppose a + 0 = 5*j. What is the lowest common multiple of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247 - 247 + 7*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8795786 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 16*r**2 + 37*r + 20. Calculate p(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(3\/3 - 32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-35))\/(-12) - (-39)\/(-120)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/852 and 101\/264.\nAnswer: 18744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2771.499 and 0.1.\nAnswer: -277.1499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) + (sqrt(17)*-1)**2) + 2.\nAnswer: -66 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 3577386.5\nAnswer: 14309546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90.3 - 89.3. Which is the nearest to s? (a) -2\/17 (b) -18 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -921 + 459 + a**2 + 462 - 6774*a.\nAnswer: a**2 - 6774*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s + 2. What is c(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3199 (base 15) in base 12?\nAnswer: -60a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgg when three letters picked without replacement from {g: 2, l: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 1. Let r(i) = -4*i + 8. Let f be (5 - (3 + 4)) + -4. What is f*z(x) + r(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*z + 5*z - 10, -18 = 4*x - 2*z. Let w be ((-8)\/((-16)\/x))\/2. Let y(k) = -2*k**2 - 2*k**2 + k + k**2. Give y(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(11*-3))\/(5\/((-34)\/(-2584)*95))?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*r + 8 - 2 = 0, 3*r - 9 = 0. Suppose 4*b = -3*j + 102, 5*j + 0*j + 4*b = 170. Is z + (-3)\/((-6)\/j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/4 (b) 11 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 6 + 26, 5*s = 2*u - 24. Calculate the lowest common multiple of 32 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187 - -210. Let y be 2\/(-8) - ((-57)\/4)\/(-3). What is the biggest value in w, 0.1, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + (1 + sqrt(2))*-6 + 5)**2.\nAnswer: -36*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w = -80. Let l be 1\/4 + 60\/w. Let r(k) = -k + 1. Let f(d) = d - 1. Let z(n) = -3*f(n) - 4*r(n). Determine z(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-5 + sqrt(448))**2 + 2).\nAnswer: -240*sqrt(7) + 1425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -29.\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**2 - 3*t**2 - t**2 + (-4*t**2 - t**2 + 3*t**2)*(-1 - 2 + 1) + t**2 - t**2 - t**2 + (0 + 0 - 2*t)*(2 - 2*t - 2).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3 + 8*z**2 + 20*z - 24 = 0. What is z?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, x: 3, d: 1, n: 1}. What is prob of picking 4 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Suppose 0 = -c*p + 4*p. Which is bigger: p or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 45*n + 47*n = 10, n = -3*z - 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8026*l - 8292*l + 25536 for l.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, u: 2, q: 5, z: 1, p: 1, c: 1}. What is prob of sequence pezu?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 21 + 19 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1466010 and 1791790?\nAnswer: 16126110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14311 + 40464. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5954 = -36*w - 193*w for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12144.11ng in micrograms?\nAnswer: 12.14411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-84)\/16)*1\/(-2). Let v = 0.5 - 0.3. Let k = 0.4 + 0.1. Which is the second smallest value? (a) k (b) v (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 85257.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - -0.123.\nAnswer: -36.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccct?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and 0.02?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13550337.\nAnswer: 3, 29, 193, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -52*t + 2. Give i(2).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 41284233, 82568475, 123852717, 165136959, 206421201, 247705443?\n\"Answer: 41284242*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.59 + -0.29. Which is the closest to 6? (a) n (b) 2\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -27. Suppose k = 3*k - b. Is k at most as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffg when four letters picked without replacement from {g: 5, f: 7}?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 186*t**2 + 373*t - 841. What is b(184)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 466, -4, -28 in increasing order.\nAnswer: -28, -4, 466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 596051, 596030, 596007, 595982?\nAnswer: 595955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*r - 45, 0 = 2*b - 4*r - 17 - 55. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.3 + -20. Let u = 1.252 - i. What is u rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4706 is divided by 45.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/166 and -79\/8.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljqlqqlxwjlal. Give prob of picking 1 x, 1 w, and 2 q.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -13. What is the lowest common multiple of 14 and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*v**2 + 23*v**2 - 106*v**3 - 3*v**4 + v**4 + 108*v**3 wrt v?\nAnswer: -48*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + -1 + (-14)\/(-4))*2. Let z = 5.3 + -16.8. Let l = 12 + z. Which is the closest to k? (a) l (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 4*v**2 + 8*v + 2. Calculate i(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1.6. Let l = 0.34 + -0.14. Let s = 3 - 2.7. Sort o, l, s in increasing order.\nAnswer: l, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i + 2 - i - 5. Suppose -11*m = -6*m - 10. Let t be (-4 + 2)\/(m\/(-4)). Give u(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135297.\nAnswer: 3, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134 and 65794.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 192 + -188. Factor -54*b**2 - 21*b**3 - 60*b - 23*b**a - 23*b**4 + 43*b**4 - 24.\nAnswer: -3*(b + 1)*(b + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**6\/28 - 751*x**5\/210 + 9425*x**4\/84 - 625*x**3\/21 - 3*x**2 - 78*x. Determine g so that v(g) = 0.\nAnswer: 1\/15, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*t = 0, 20 = 31*c - 29*c + 3*t. Solve 0 = 2*p - s - 7, -c*p - 4*s + 4 = -16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((525\/90)\/35)\/(8024\/(-708))?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 13*d**2 + 308*d - 646. Give y(-12).\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*w + 3, -2*w - 5 = -4*x + 3*w. Let t(s) be the third derivative of x*s + 1\/24*s**4 - 10*s**2 + 0 + 0*s**3. Let q(h) = 23*h**2. What is q(t(g))?\nAnswer: 23*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.85 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 28*v = -24*v + 5153369, -5*o + 3*v = -5153378. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0 - 1)*29\/((-174)\/21384)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2727 = 2*h + t, 6*h - 6743 = -4*t + 1433. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 i when three letters picked without replacement from ibqiibiihh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 2. Let s = 3 - f. Let o = 5 + s. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okkw when four letters picked without replacement from {w: 2, o: 4, k: 10}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -148329792 divided by -1278?\nAnswer: 116064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -24, -61, -112, -177, -256?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2200 and 588126?\nAnswer: 58812600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1590\/(-2915))\/(42\/44)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7013, -6979, -6945?\nAnswer: -6911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 4*t - 20. Let l be 3476\/55 + -5*9\/225. What is the highest common divisor of t and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 9, -5, 4, -3, 8 in ascending order.\nAnswer: -19, -5, -3, 4, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0.5. Let t = 0.27 - 0.37. Which is the second smallest value? (a) -4 (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((4 + -2*sqrt(891) + sqrt(891) - ((sqrt(891)*-2 - sqrt(891)) + -1)) + 0 - ((2*sqrt(891) + sqrt(891) + -5 - sqrt(891)*-2*-5) + -5))**2.\nAnswer: 2430*sqrt(11) + 72395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187278412 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1891 = 133. Let r = v + -451. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 - 136 + 39*b.\nAnswer: 39*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3288234585?\nAnswer: 3, 5, 37, 61, 97127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uddffuduzzfff. Give prob of picking 1 f, 2 z, and 1 u.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 19*x**2 + 91*x - 1747. Determine g(19).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(15\/33))\/((-5)\/((-55)\/(-11))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 take away 195981740.9?\nAnswer: -195981905.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 192*b - 1074 wrt b?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.9 - -29. What is the third biggest value in 0.06, t, 2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -156 and -0.2.\nAnswer: -156.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 122\/3. Let j = -1.29 + 0.09. Let y = -1 - j. Put 2\/13, u, y in increasing order.\nAnswer: u, 2\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 28. Let n = 14 - j. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11093.\nAnswer: 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -10*r - 3*r + 4*r - 8. Let o = 15 - 20. Is v(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 235 in 23, 0.04, -0.1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 9:40 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p + 2*p - 4*p)*(-388224*p + 931*p**2 + 388224*p) + (0*p - p - p)*(-1 + 2*p + 1)*(-1 + p + 1) to the form x*p**2 + k*p + b*p**3 + q and give b.\nAnswer: 927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 1:43 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/8*360\/(-300)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-145)\/(-30) + (-2)\/(-12). Find the third derivative of -2*m**5 + 4*m**v - 2*m**2 - 5*m**2 - m**5 wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j. Suppose -4*l + 32 = -4*z, j = -z - 4*z + 3*l - 34. Let k be 1\/4*(3 - z). Solve 36 = -4*c - 5*f, k*c - 16 = c + 5*f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u**2 + 12*u - 690. Is x(30) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-30)*q)\/q)\/q*(q\/(q**(-3\/10)\/q))\/q*q*q*q**(2\/97)\/q*q\/(q*q\/(q\/(q*(q*q*q\/q**16)\/q))) assuming q is positive.\nAnswer: q**(-15209\/970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 767732965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-12))\/(72\/288).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 4 (b) -51 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -221021?\nAnswer: -221012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 794398 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 122778999 and 200088.\nAnswer: 982231992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1881741165?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/18 + 179596\/(-531). Let m = -272 - j. Calculate the highest common divisor of 132 and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -18 + 7*z**2 - 7*z**2 - 11*z - z**2 + 0*z**2. Let g be r(-8). Let b be ((-8)\/g - -1)\/(126\/(-84)). What is the second biggest value in -0.03, b, 5\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.50691 rounded to zero dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/2433218 and -103\/10.\nAnswer: 12166090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 12 - -4 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -84044 take away 735323.155?\nAnswer: -819367.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23503.\nAnswer: 19, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -19*m**3 - m**2 - m - 7. Let r(u) = -u**3 - 4*u**2 + u + 7. Let p be r(-3). Let k be s(p). Suppose -3*z + 7*z - k = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-1*sqrt(102) - sqrt(102) - sqrt(102)) - sqrt(102))\/(-5*sqrt(150) - sqrt(6)))**2 + -2 + 1*(sqrt(425) + (sqrt(425) - (sqrt(425) + -1 + -3))**2).\nAnswer: 2383\/169 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -8304999.84?\nAnswer: 8305001.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1664.8 + -1514. Let c = 44.2 + j. Let y = c + -194.99999774. Round y to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-10) + (-2)\/4. Let b be y\/(1\/(-4)*2). Solve 5*k + b = 4*t, -4*t + 2 + 10 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.1923.\nAnswer: -0.3846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -26. What is the closest to m in 0.1, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41193244 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t = 15. Let a = t + 2. Let c be (-14)\/(-10) - 2\/a. Solve 5*v + 2*y = 17, c + 3 = -y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, 4, -5 in increasing order.\nAnswer: -5, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2 - 354612*i - 354615 = 0.\nAnswer: -1, 118205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d + 2. Let p(l) = -13*l - 75. Determine 4*n(k) + p(k).\nAnswer: 3*k - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75213.\nAnswer: 3, 61, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**6\/360 + l**3\/3 + 8*l**2. Let k(b) be the first derivative of o(b). Let q(h) = h. What is k(q(j))?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 3850*b + 34710. Determine d(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/((2*sqrt(144))\/sqrt(12)) + -2 + (sqrt(1008)*-2)**2.\nAnswer: sqrt(7)\/2 + 4030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 2*a**3 + 2*a**2)*(5 - 8 + 13).\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0*c + 35. Calculate the remainder when c is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 50. Suppose 0 = 4*n - q - 4. Suppose -n*k = 2*w - 2*k - 32, 0 = w + k - 14. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 92 = -2*k + 5*h, -6*k + 55*h = -332 + 56 for k.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 11 - 3 = 3*u, 5*q - 2*u - 23 = 0. Suppose -6*b - q*g + 41 = -3*b, 0 = -g + 4. Solve 3*i + y = -b, i = -5*y - 4 - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x + 2*x)*(-3*x + 0*x + 4*x) + 971*x**2 - 65*x**2 + 1057*x**2 + (1 + 2 - 4)*(x**2 + 3 - 3) + 2*x**2 - 3*x**2 - 2*x**2.\nAnswer: 1957*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 443821 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 335394 and 111798.\nAnswer: 335394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 551 = 2*t, 51*p - 48*p = -3*t - 552. Is p less than -165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31863, -127462, -286793, -509856?\nAnswer: -796651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d + 7. Let r(p) = p**3 - 10*p**2 + 2. Let q be r(10). Let y(f) = 3*f - 1. Let a be y(q). Calculate l(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.64? (a) 2\/7 (b) -11 (c) -0.1 (d) -5 (e) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 + 4*f - 5. Let j(s) = s**3 + 2*s**2 + s - 2. Let y be j(-2). What is the units digit of z(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 18*h - 7. Determine z(-16).\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7560 and 1125?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Suppose -5*l + 7 + 3 = z. Suppose -l*x = -27 + 3. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/4 (b) -3 (c) 4 (d) 5 (e) 1522 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1220?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvta when four letters picked without replacement from {t: 3, o: 6, v: 1, a: 3}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 56\/(-15) + 6\/10?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 268 and 581.\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256, 257, 258?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1063*a - 5665. Let b(u) = -6*u**2. Calculate v(b(n)).\nAnswer: 6378*n**2 - 5665","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrwkw. Give prob of picking 2 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**3 - 4*n**2 - 4*n - 1. Let x be s(-2). Find the common denominator of x\/(-161) + 1\/((-210)\/(-989)) and -13\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37517 or 2.59?\nAnswer: -37517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 12*z - 9. Suppose 4*b - 45 = -3*j - 11, -3*j = -4*b + 46. What is the smallest common multiple of d(-3) and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 13470\/450 + (-286)\/(-15).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 36*d**2 - 30*d - 68.\nAnswer: -2*(d - 17)*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 84*n**3 - 5*n**2 - n - 1. Let v(z) = z**3 + z**2 + z + 2. Let r(w) = -h(w) - 2*v(w). Is 29 a factor of r(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/19 (b) 1 (c) -7.8 (d) 0.5 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -42, -98, -192, -336?\n\"Answer: -2*h**3 - h**2 - 13*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m + 6. Let i be (245\/(-70) - 4\/(-1))*(6 - 2). Determine y(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 + 43. Find the common denominator of -51\/35 and (620\/f)\/(-5) - (-1 + 6).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 107 - 36 - 35 - 36.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -451*s - 1530*s - 647*s to c + k*s and give k.\nAnswer: -2628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54 - 128*h**3 + 30 - 39*h**3 + (-4*h**2 + 2*h**2 + h**2)*(3 - h - 3) - h**3 + 3*h**3 - 4*h**3.\nAnswer: -168*h**3 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.02 - 3.88. What is y rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289016 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 993858836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6585 and 4390?\nAnswer: 13170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, s: 5}. What is prob of sequence esss?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -216279152*d**3 + 283760891 wrt d.\nAnswer: -648837456*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11217751 and 1302941?\nAnswer: 5191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/647360 and -151\/20230.\nAnswer: 647360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188225968.\nAnswer: 2, 7, 1680589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -118*u**2 + 2*u. Let c(l) = 237*l**2 - 4*l. Let y(n) = 3*c(n) + 5*x(n). What is the tens digit of y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -185, -265, -333, -389, -433, -465?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -11. Let a be 27 + ((-11)\/(-4) - n\/(-28)). Find the second derivative of -57*t**4 + a*t**4 + 33*t**4 + 8*t wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 6 = -2*l, 5*b + 30 = 6*l + 5 + 14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/11 and -56\/4433.\nAnswer: 4433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -56*y**2 - 5847*y + 3453. What is f(-105)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121359835358267 + -61519606379921733103\/506919. Let f = y + -2\/72417. Let o = f + -110. What is the nearest to o in -3, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -471, -717?\nAnswer: -963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1614\/6503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 12 + 8 - 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 638, 965, 1858, 3599, 6470, 10753, 16730, 24683?\nAnswer: 34894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 24 = -4*y, d = -y - 3*y + 12. Suppose y*z = 8*z - 3436. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 434\/(-1085) + (-2 - 812\/(-330)). Let h = 1 - 0. What is the nearest to h in k, -3, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 2)\/(7\/14). Solve 3*w + 8 = v*m, -5 = m + 2*m - 5*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020102010 (base 3) to base 16.\nAnswer: -5f25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1739245 to the power of 1\/2, to the nearest integer?\nAnswer: 1319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4594722 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-nine quarters of a gram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10290016 by -16.\nAnswer: 643126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080163847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**4 - v**3 + v**2 + 1. Let y(g) = -41*g**6 - 5*g**4 + 5*g**3 - 6*g**2 - 2*g - 5. Let s(d) = -5*w(d) - y(d). Find the third derivative of s(b) wrt b.\nAnswer: 4920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 12 = -0*v. Suppose 0 = -5*y + 2*o + 28, -2*o - 159 = -2*y - 143. Solve v*b + y = -0*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 12:56 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 less than 342985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/186 and -119\/24702?\nAnswer: 765762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2 - 3*b + b**3 + 2*b**3 + 5*b + 3. Let f(d) = d**2 - 7. Let v be f(-3). What is the tens digit of y(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**0*l)**(-36\/5)\/(l**(1\/5)\/l**5))\/((l*(l**(-2\/5)\/l)\/l*l*l)**(20\/11))**(18\/7) assuming l is positive.\nAnswer: l**(-4776\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24850069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 147518, 294559, 441602, 588647, 735694, 882743?\n\"Answer: c**2 + 147038*c + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-168))\/((-10)\/(-320))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let j be r(-2). Let h(v) = -v + 1. Let q be h(-4). Suppose q*d + 2*a = 33, 2*d - j*a = -a - 2. Solve -4*x - 13 + d = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 468 + -268. Let a be -7 - (36\/4 + -26). What is the highest common divisor of n and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 817\/21 + 4122\/(-378) + 11. Let d be -13*(6\/3 + -3). Calculate the highest common divisor of d and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 12*y**3 - 14*y**2 + 6*y - 4. Let i(z) = 19*z**3 - 21*z**2 + 9*z - 6. Let c(w) = -5*i(w) + 8*p(w). Give c(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/5, -2.3, -8, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -543*f - 3. Let q(h) = -h**2 - 543*h - 4. Give 4*c(p) - 3*q(p).\nAnswer: 3*p**2 - 543*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -3. Suppose 4*v + 1 = 3*b, 0 = -5*v + 25*b - 22*b + 1. What is the smallest common multiple of s and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22814639.\nAnswer: 43, 67, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 27*b**2 + 1737*b + 27345. Determine u(-37).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4*y - 84 = 0, 2*t - 10*y - 91 = -15*y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**2 - 2457*f + 2457*f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -2 + 0 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 - 11. Let n(z) = -z**2 + 4. Let m(w) = 2*w**2 - 6*w + 3. Suppose -3*j + 6*j = x + 13, 0 = j + 3*x - 1. Let t be m(j). Give t*n(i) + 4*s(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3564567, -3564559, -3564551?\n\"Answer: 8*s - 3564575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5660 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 45. Let g = 828 - 819. Let z(q) = 19*q + 27. Let w(v) = 8*v + 12. Let s(a) = g*w(a) - 4*z(a). Give l(s(d)).\nAnswer: -4*d - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmsmmmnnmmmsm. Give prob of picking 1 m, 1 n, and 1 s.\nAnswer: 44\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/8)\/((n*(n**(-1)*n)\/n)\/n))**(-37) assuming n is positive.\nAnswer: n**(-259\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*s + 310, 3*c - 90 - 375 = 4*s. What is the lowest common multiple of c and 130?\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44634 times -8\nAnswer: 357072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/5 - 924*x\/5 + 558 = 0 for x.\nAnswer: -465, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 920 and 462070?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -67137 (base 10) in base 16?\nAnswer: -10641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9835 (base 10) in base 13?\nAnswer: -4627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 947, 0.02, 4 in increasing order.\nAnswer: 0.02, 3, 4, 947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 - 66. Suppose 4*j - 10 = 2*s, 3*s + 5 = o*j + 2. Solve j*b - 22 = -6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/504 and -27\/4040.\nAnswer: 254520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40.93 - -0.07. Let z = -17472 + 17513.062. Let h = s - z. Round h to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -55342, -55416, -55612, -55990, -56610, -57532?\n\"Answer: -10*b**3 - b**2 - b - 55330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 10*z + 556 = 4*p, 5*z - 285 = -2*p. What is the greatest common divisor of p and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 + 14.84746\nAnswer: 73.84746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -23481.87501 rounded to the nearest 100?\nAnswer: -23500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 2. Let n(s) = -5*s**2 + 15. Let x(d) = 2*n(d) + 15*t(d). Let g(v) = 4*v**2 + 28. What is x(g(q))?\nAnswer: 80*q**4 + 1120*q**2 + 3920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112001112 + 11220?\nAnswer: -111212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1270 and -68\/45?\nAnswer: 11430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - n + x - 5, 0 = 4*n - 3*x + 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/7 - 24*n**4\/7 - 6*n**3 - 20*n**2\/7 = 0. What is n?\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)\/((y\/((y**3*y)\/y))\/y*y)*(y**(2\/5))**(-46))\/((y**(-5)\/y)\/((y\/(y*(y**(2\/39)\/y)\/y))\/y))**(-32) assuming y is positive.\nAnswer: y**(-9296\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -84108\/5 equal to -16821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-8)*-10 - 1119*(-12)\/36. What is the highest common divisor of 23 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 7. Let o be 1 + 4 + (0 - 1). What is the third derivative of g**o - 4*g**4 - g**b + g**4 wrt g?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*3 + sqrt(156))*5 - sqrt(156) - ((3*sqrt(156) - sqrt(156))*1 - sqrt(156)))\/(-1*-5*(sqrt(192) - 2*sqrt(192))).\nAnswer: -9*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269 = 2*f + 26*f - 123 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -334 * -1189.5.\nAnswer: 397293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/15 + 76*b\/3 + 3610\/3.\nAnswer: 2*(b + 95)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -583*g**4\/2 + 21*g**2\/2 - g - 385. Find the second derivative of l(x) wrt x.\nAnswer: -6996*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72991*k**2*r**2 + 9*k*r**2 - 5*r**2 + 9820*r wrt k?\nAnswer: 145982*k*r**2 + 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**6\/20 + 3*v**5\/20 - v**3\/2 + 11*v**2\/2 - 10*v. Let x(m) be the first derivative of q(m). Solve x(t) = 0 for t.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19, 53, 121, 241, 431, 709, 1093, 1601?\n\"Answer: 3*b**3 - b**2 + 16*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36178841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 19*n. Let a(y) = -32*y**2. Calculate a(o(f)).\nAnswer: -11552*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1438.297 decades to millennia.\nAnswer: 14.38297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-1) - -5) + 1 + -6. Let l be (-342)\/66 - (-4 + o\/4). Sort -3\/5, -0.4, l, 2\/5 in ascending order.\nAnswer: -3\/5, -0.4, l, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/6)\/(135\/2070).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260271 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o + 28. Solve -l + 4 - o = 0, l + 28 = 5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 20*q + 39. Let j be u(-33). Is (662\/(-4))\/(j\/(-132) + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99459 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-266)\/70 + 8\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*1\/(-30) - (378\/140 + -3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13885209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/30*-4 + 26\/(-260)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxodoxyoyxxxdxd. What is prob of picking 1 o and 2 d?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(475)*1 - sqrt(475)*-2*-6) + (1 + sqrt(475) + 1 + sqrt(475) + sqrt(475))**2 + 1.\nAnswer: -15*sqrt(19) + 4280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*d = -849 - 3567. Let c = d + 78. Solve 0 = c*m - 4*m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2374 = 2*x, 3*a + 1341 = 2*x - 1012. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.210210347321 less than 14?\nAnswer: 13.789789652679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(119)\/(sqrt(1225)\/sqrt(7)).\nAnswer: sqrt(17)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -557 + 747. What is the smallest common multiple of 110 and j?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-54)\/90 + 1708\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -11*y - 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 97 - 7 = 0. Let h(v) = -2*v - 17*v**2 - 1 + g*v**2 + 0. Determine h(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-14))\/3*(-14)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 408771?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 and 58?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -861\/4 - -193. Calculate the common denominator of p and -29\/932.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45196393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*r - 28 + 10, -j = -5*r + 24. Solve -r*t - 9 = 33 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28 - 95 - 2282*m - m**3 + 125*m**2 + 31 - 16*m**2 + 35 wrt m?\nAnswer: -6*m + 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/6 - (-7)\/(-14))\/((-410)\/(-82))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27103 - 26578. List the prime factors of k.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-469911)\/(-15) + (-12)\/8. Let j = -31292 + y. Let p = 77\/5 - j. What is the common denominator of p and -151\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.54 (b) -0.03 (c) 88 (d) -3\/5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3) + (-117)\/27. Let x = j + 13\/6. What is the closest to 1 in -5, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 10, -v = 84*w - 86*w - 25272. What are the prime factors of v?\nAnswer: 2, 71, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56*(-57)\/760)\/(4\/(-20)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7534 - 7011.5. Round v to the nearest ten.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 l when four letters picked without replacement from ylkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*y + 27869, -2*k + 59 = 51. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 - 10\/9*j**2 - 2\/9*j**3 - 14\/9*j.\nAnswer: -2*(j + 1)**2*(j + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 5*o - 2. Let s = 31 - 19. Calculate the lowest common multiple of s and f(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8065, 31673, 71019, 126103?\nAnswer: 196925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 3*y = 0, 5*o + 0*y = 5*y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 22. Let n(y) = y**3 + 3*y**2 - 5*y + 1. Let s be n(-4). Calculate the greatest common divisor of s and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -688*x**3 - 609*x**3 + 1306*x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22 times -0.2\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (930\/(-4185))\/((-5)\/(-270)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.32? (a) 3 (b) -3\/2 (c) 222 (d) -5\/6 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 40*j**3 + 364*j**2 + 41*j - 13. Calculate v(-9).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3162 = -79*s + 224 - 1272 + 497 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c - 45. Let v(z) = c*z + 7*z - 13*z. Calculate v(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*k = -1218, -8*w + k + 1948 = 6*k. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k**2\/11 + 13605682*k\/11 - 10204266\/11.\nAnswer: 2*(k + 1700711)*(4*k - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**5 + 2975*j**4 - 461285*j**3 + 5533245*j**2 - 4164210*j - 10161720 = 0. Calculate j.\nAnswer: -1, 2, 12, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.388973 rounded to two decimal places?\nAnswer: 215.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -5, -22, 4\/23, -0.02?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i = -5*p + 110, -28 = -p + 2*i. What is the highest common divisor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10438024?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yybygcbybbb. What is prob of sequence bbyy?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 7*v + 3. Let f be q(6). Let n = 5 + f. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*(sqrt(72) + sqrt(72) + 2*sqrt(72)))\/(sqrt(196)*1 + -2*(sqrt(8)\/sqrt(2) + sqrt(4))) + -4).\nAnswer: -16 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2773 = p - 0*p, -5*c - 3464 = p. What are the prime factors of c\/(-44) - (-3)\/(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37913991 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -86, -169, -252, -335, -418?\n\"Answer: -83*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by 11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 101505.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zryarrayryoar. Give prob of picking 1 z and 2 r.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxxx when four letters picked without replacement from oxxoxxxxoxx.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166 + -155. Suppose r - g + 4 = 10, -2*r = -3*g - k. What is the lowest common multiple of 194 and r?\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 23*u**4\/24 - 143*u**3\/3 - 3223*u**2. Calculate b(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23664 and 17255?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12692017.\nAnswer: 13, 976309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/m**(10\/3))*m*m**(2\/57)*m**(-3)*m*(m\/(m*m**(-1\/6)*m*m))\/m assuming m is positive.\nAnswer: m**(-53\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1513, 3238, 6111, 10132, 15301, 21618, 29083?\nAnswer: 37696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 2*f**2 - 35414*f**3 - 2 + 35411*f**3 - 2*f**2.\nAnswer: -3*f**3 - 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -860, 2\/9, -13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*y - 13*y + 6*n - 82, -4*y = -5*n + 3. Suppose -2*f - 10 = 0, 85 = 3*x + 5*f - 22. What is the remainder when x is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61593790 rounded to the nearest one million?\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -481*k - 2886. Let n be d(-6). Solve 3*z - 4*j - 7 = n, -z + 4*j + 0 = -5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(72\/28) - 1. What is the smallest value in -5, -2\/11, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by -37370.\nAnswer: 11\/7474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1986?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -795*n - 1. Let h(u) = -4*u**2 + 5*u**2 + 10*u - 11 - 3 + 2. Let y be h(-11). Is t(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - -55?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 56*u + 2248. Let s be v(-40). Solve 4*p = -d - 17 + 19, 4*d + s = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112 + -108. Let g(j) = -j. Let t be g(0). Let s(d) = d. Let p be s(t). Solve p = -c*a - 11 - 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101.2*-32.\nAnswer: 3238.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 422414 (base 5) to base 9\nAnswer: 21316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -20. Let o(i) be the third derivative of 0*i + 1\/12*i**4 - 1\/60*i**5 + 0 + 0*i**3 - i**s. Find the second derivative of o(r) wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - z**2 - 3*z - 11 + 18 + 5*z**2 - z**3. What is v(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -544 + 564. Calculate the least common multiple of 8 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -136\/13 in -1, -0.04, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179226 is divided by 25603.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 42 = -0*r. Let f be (-66)\/r + 4\/28. Let o be -2 + (-3 - f) + 46. What is the highest common factor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 26*q - 24. Suppose -z = 5*n - 205, -5*z - 36 + 11 = 0. Suppose 14 = 4*b - n. What is the remainder when 46 is divided by y(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o - 3614 - 1786 = 17*o + 50*o for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.14 (b) 0 (c) 64.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -59\/2. Suppose -3*k = 5*q - 78, -k + 2*q + 16 = 1. Let z be 4 + (-7)\/(k\/9). Is z > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**(-13)\/u))\/u**(-2)*(u*(u**(-1\/13)*u*u)\/u)**(3\/8) assuming u is positive.\nAnswer: u**(1947\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/1600 and 169\/7200.\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1910289*-321\nAnswer: 613202769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*(-6*(sqrt(630)\/sqrt(90) - sqrt(63)))\/(sqrt(576) - (2*sqrt(576)*-1 + sqrt(576))))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 388305 and -0.2?\nAnswer: -77661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1478 = 6*y - 410. Let b = y + 180. Solve f - v = b*f - 2, v - 5 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/118 - 741\/1298. Which is the nearest to 1? (a) k (b) -4\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 292 - 289. Suppose z*s - 5*t - 3 = -0, 4*t = -5*s + 42. Solve -2 = s*g - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 11011001101101100111?\nAnswer: -11011001101101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 8*q + 7. What is r(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -7. Let j be (g\/12)\/((-4)\/30). Suppose 2*m - 3*v + 19 - 4 = 0, j*m = 3*v - 15. Solve -2*x - x = m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 35. Let t be ((-3)\/2 - k)*-6. Let p be 5 + t\/(9\/3). Solve 3*i = p*i + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joo when three letters picked without replacement from jonookkjjkk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -16*j**2 + 14*j. Let d(q) = q. Let k = -2215 + 2214. What is k*g(a) + 12*d(a)?\nAnswer: 16*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(28\/(-40) + 1\/2). Suppose 0 = -8*z + 3*z + t + 65, -l*t + 39 = 3*z. Let j(m) = -z*m + 26*m - 10*m. Let u(p) = 5*p. Determine u(j(d)).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 3*d + 2. Let j be w(3). Solve y + 17 = 5*t + 3*y, 4*t + j*y = 14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.04, 2, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 436888279 to the nearest integer?\nAnswer: 20902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1305387*q + 32634671. What is a(25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**4 - 28*c**3 - 72*c**2 = 0. What is c?\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22198, 20954, 19660, 18322, 16946?\nAnswer: 15538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -9. Let x = -50175.000016 - -50177. Let m = x + p. Round m to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -18. Let l(y) = -y + 6. Let i be l(6). Solve i = 3*d + n*a + 3, -2*d + a + 8 = -a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1852, 1856, 1862, 1870?\n\"Answer: i**2 + i + 1850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*b = 14*b + 6*b - 75 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27\/(-2))\/((-3)\/12). Let b = c - 29. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (60\/35 + -1)*14\/2. Let d(g) = g**3 - 5*g**2 - 8*g + 7. Let c be d(6). Sort 4, b, c in increasing order.\nAnswer: c, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 8*j = -27. Let m be -6*(-1)\/(j\/(-48)). Let p = m - -41. Solve p*y + 20 = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 2) to base 11\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1598 + 1614. Solve 2*c = -24 + h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0185 - 22.8815. Let v = -23 - f. Which is the closest to v? (a) -2\/3 (b) 0.3 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041 times -183774?\nAnswer: 7534.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.84329 meters to micrometers.\nAnswer: 1843290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 895 * 6.0072.\nAnswer: 5376.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -375?\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-736)\/276*36\/112?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27489355 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microsecond in nanoseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 2\/1751039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*n = -12*n - 364 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 2. Suppose 7 = -4*a + 3*z, 0 = 3*a - x*z + 4*z + 9. Let s = 4 + a. Solve -y + 0*y + 4 = s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 12:57 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 2 (c) -0.2 (d) 2.795\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**3 + 8628*x**2 - 25912*x + 17280 = 0.\nAnswer: -2160, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 10*q - 17. Let o be n(-4). Solve 10*d**4 - 84*d**2 - 11*d**3 + 28*d**4 + 39*d**4 + 36*d + 25*d**5 - o*d**4 = 0.\nAnswer: -2, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avlvavvvaaat. What is prob of picking 1 l and 2 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 12 = -6. Let t be (21\/6)\/7*b. Suppose -3 = -3*i, t = 5*v + 2*i - 24. Solve 0 = j - 4*j + 15, 5*j - 5 = -v*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90016?\nAnswer: 2, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1742 divide 21423116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34843 is divided by 425.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31506 = -3*s - 3*i, -4*i + 66248 = 5*s + 13740. List the prime factors of s.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(16\/4))\/(26*(-48)\/(-2808)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1002211 (base 3) to base 12\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 169 and 0.1?\nAnswer: 168.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -15. Suppose 0 = -m*d + 19 - 7. Let a = -7 - -15. Calculate the lowest common multiple of a and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16832329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2725*b**2 + 2724*b**2 + 2729*b**2 - 11311*b**2 + 3129*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 79*z - 377. Give v(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-7)\/(35\/(-10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121695 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22306 + -149?\nAnswer: -22455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -6. Let f = -313\/40 + 45\/8. Is f greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 15 - 6*g + g + 3*g + 3*g. Let c(a) = a - 6. Suppose 4*l + 84 = 18*l. Give l*w(d) + c(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-2)\/(-5))\/(((-8944)\/1935)\/52).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -18 (c) -0.21 (d) 3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 - 171*d - 221. Determine c(35).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3273793.58 to the nearest 1000.\nAnswer: 3274000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -1.6 and -62021938 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 4 - (-18 + (2 + 0 - -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 810, -18, -1294 in increasing order.\nAnswer: -1294, -18, 810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 598237697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 168*v**2 + 130755*v + 62688329 wrt v?\nAnswer: 336*v + 130755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.137 + -6.437. Let y = u - -6. Is y at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38621 < 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-348)\/464*2\/(-4)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 98.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -303, -1186, -2649, -4686, -7291, -10458, -14181?\nAnswer: -18454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 2\/29, 0.5, -0.05, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**2*u*u**(-23)\/u assuming u is positive.\nAnswer: u**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 4*d + 3. Let g be s(4). Let f(y) = -5*y**3 + 4*y**3 - 2*y - 8 + 9*y**2 - 2*y**g + 4*y**3. Let h be f(-9). Solve 0 = -2*w - 3*w + h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p. Let b(v) = -114003*v**2 - v. Determine b(c(d)).\nAnswer: -7296192*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -u - 17*c + 486, 24 = 4*c. Is 66 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 8*b - 3*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 12:37 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(3)*-3) - (1*sqrt(13) + 3)**2.\nAnswer: -19*sqrt(13)\/3 - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -c - 20. Suppose c*t - 7*t = 0. Suppose t = 3*f - 14 - 25. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**2)**(-6)*f**(1\/7)\/(f**(1\/8)*f))**16)**(19\/3) assuming f is positive.\nAnswer: f**(-40394\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2*s - 6708, 2*k = -3*k - 5*s + 8340. List the prime factors of k.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/9)\/v**36)\/(v*v*v**(-3\/17))**(-1\/11) assuming v is positive.\nAnswer: v**(-60122\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-114)\/133)\/((-2)\/(-14)). Which is smaller: f or -21\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.1.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/14 + ((-54)\/(-4))\/(-9).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**4\/16 + 3*q**2\/2 - 7*q. Find r such that k(r) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3609*i**2 - 1613 + 1613 in the form y + r*i**2 + k*i and give r.\nAnswer: 3609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25831639 and 0.1.\nAnswer: 2583163.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000199 rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-8))\/((-5)\/20). Let g = 0 + 1. Let x be -4 + (-2)\/g + 1. Put x, 6, z in decreasing order.\nAnswer: 6, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + 0.6. Let w be (-2)\/4*4\/(-8). Let z = 0 - -1. Which is the closest to z? (a) w (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 8539924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 11:52 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, b: 2, o: 2, c: 5, t: 3}. What is prob of picking 2 t and 1 b?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -30. Suppose 70*y - 2618 = -2058. Solve -2*f = -3*n - n + w, -y = n + 5*f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 576 = -0*u + 4*u. Suppose 256 = w - u. What is w rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/2 of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90964083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 97 - -2 - (-4 + 2). Let o = -62 + y. Let h be 795\/20 - (-51)\/(-68). What is the greatest common divisor of h and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/15)\/(4\/(-6)) + 4. Let s(q) be the first derivative of 2 + 1\/12*q**4 + 0*q**y + 0*q + 1\/9*q**3. Factor s(a).\nAnswer: a**2*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411643 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: Suppose -159 = -8*m - 87. Calculate the remainder when 411 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 12*q + 4. Let n be r(-18). Let d = -39 + n. What are the prime factors of d?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 3*x + x)*(2*x**3 - 2*x**3 - 3*x**3) + (0 - 1 + 0)*(-3*x**3 - 2*x**4 + 3*x**3) - 2*x**4 + 0 + 0.\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, s: 3, v: 4}. Give prob of picking 2 x and 1 v.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 312829*u**4*z**3 - u**2*z**3 - 5*u*z**3 + 82*z**3 - 646 wrt u.\nAnswer: 3753948*u**2*z**3 - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c = 5*f - 2760, 2*f - c - 1111 = 0. Suppose 5*w + f = 4*l, -2*w = 12*l - 8*l - 574. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by -70.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s - 10. Let y be m(2). Let k = -38 + y. Let j = k + 108. Is 25 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7322 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kopp when four letters picked without replacement from kppkkppkkkokpppkkkk.\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f + 7. Suppose 114*r + 4 = 113*r. Let g(u) = -u**2 + 6*u - 8. Calculate r*a(c) - 3*g(c).\nAnswer: 3*c**2 + 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/(-2)*(-2)\/(-15) + (-1674)\/15. Suppose -3*b + 492 = -b. Let k = b + t. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -3, -2, -1, -6247, -5 in ascending order.\nAnswer: -6247, -5, -3, -2, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/3))**47)**(-15)*((s\/((s*s**6)\/s*s))\/(s\/(s*s**(2\/7))))\/(s*s\/s**(-1\/6)*s\/s**(2\/7)) assuming s is positive.\nAnswer: s**(-20101\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**8\/v**22)**(21\/4))**39)**(-17) assuming v is positive.\nAnswer: v**(97461\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 153 in -0.4, 0.4, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 376 + -372. Solve x*d - 2 = 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3, -4, -25\/11?\nAnswer: -25\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 - (0 + -8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 93*r**2 - 24*r - 71. Let s(z) = -35*z**2 + 8*z + 24. Let d(k) = -3*j(k) - 8*s(k). What is d(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3480, 3\/5, 8?\nAnswer: -3480","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-7))\/i)\/(i\/(i\/i**(4\/3))))\/(i**(-21)\/(i*i*i**9)) assuming i is positive.\nAnswer: i**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113218693?\nAnswer: 7, 73, 149, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -1\/60*p**5 + 0*p - 5*p**3 - 2*p**2 + 2\/3*p**4 + 0. Let r be f(14). Put r, -4, 0 in descending order.\nAnswer: 0, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a factor of 634491000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**6 - 480*a**5 - 1069*a**3 + 379*a**2 - 2579?\nAnswer: 120*a**3 - 28800*a**2 - 6414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 34808328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h + 80. Calculate t(-17).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49105, 50586, 52067?\n\"Answer: 1481*u + 47624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15218685*p**3 + 14613956*p**2 wrt p?\nAnswer: 91312110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-51) + (-228)\/(-204) - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -324352, -324362, -324380, -324412, -324464, -324542, -324652, -324800?\n\"Answer: -z**3 + 2*z**2 - 9*z - 324344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 3\/28, -2\/2381, 13.9?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14))\/((864\/1456)\/(-27))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4199, -8421, -12629, -16817, -20979?\nAnswer: -25109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 699715801 and 14.\nAnswer: 699715815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 15*i**3 + 12*i + 12. Let j(o) = o - 1. Let k(n) = -g(n) + 12*j(n). Differentiate k(a) wrt a.\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*b**3 + 150259*b**2 - 41443531?\nAnswer: -27*b**2 + 300518*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/12*32704\/5110.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 77, 79, 93, 125, 181, 267?\n\"Answer: a**3 - 5*a + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 51\/(-6)*(-48)\/102. Sort -3, -5, 5, d, -160 in decreasing order.\nAnswer: 5, d, -3, -5, -160","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7 - 44*k**3 - 7*k + 0*k + 7*k - 4*k**2 wrt k.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 0*f + 2*c - 22, -3*f = 3*c - 6. Suppose 2*w - f = -2*g, -w - 2*g = -0*g - 3. Suppose -w = 2*o - 3*o. Solve 1 + 5 = -o*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 4*b**2 - b - 8. Let z be x(-3). Suppose r - 433 = 52. Suppose z*o = -o + r. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216071.\nAnswer: 216071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38550 - 36048. Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imiigmvviiimvm. Give prob of picking 1 v and 2 m.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 170 + -161. Suppose -2*s - 2*r - x = -3*s, 5*s = -2*r + 21. Solve -3*o - 5*t - s = 0, -5*o - t - 12 = 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oozonnvxvn. Give prob of picking 2 n and 1 v.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -298? (a) -1.4 (b) -0.3 (c) 2 (d) -3 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.317 - -0.083. Let i = -2.17 - -2.17. What is the third biggest value in r, 1, i, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*d - 0*d. Let y(p) = p - 10. Let z be y(d). Let c(g) = 2*g + 1. Calculate c(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1052 and 1841.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5\/14?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*m + 2. Let b(g) = -g**3 - 9*g**2 - 8*g - 3. Let f be b(-8). Is 28 a factor of (-250)\/f - m\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1702 + 10979. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7571.\nAnswer: 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppvpcvtwtpov. Give prob of picking 1 w and 2 v.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 1. Let m(o) = 8*o - 7. Let p(u) = 6*h(u) - m(u). What is p(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + 0*w - w)*(1 + 1 - 3)*(-4 + 2 + 4)*(-212*w**2 - 31*w**2 + 39*w**2) to the form l*w**3 + j*w**2 + s*w + q and give l.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 793 + -784. Suppose 20 = 10*c - 0. Calculate the highest common divisor of c and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 1)*(-s - 2*s + 2*s) + 2*s - 5*s + s - 57*s + 15*s + 261*s.\nAnswer: 214*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 2*y**2 - y + 1. Let d(f) = -7*f**3 - 27*f**2 - 8*f - 6. Suppose 0 = -5*k - 5*k + 60. Let c(w) = k*i(w) + d(w). Solve c(l) = 0 for l.\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f - 4701 + 5309 = 0. Calculate the greatest common factor of 224 and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*k + 23*k**3 + 11*k)*(7 + k - 7) + 3*k**4 + 0*k**4 + 0*k**4 to u*k**3 + s + z*k + x*k**4 + v*k**2 and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72047 is divided by 5489?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.05, -1\/2, 2\/9, -3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*34.7.\nAnswer: -69.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 488 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 z when four letters picked without replacement from {k: 1, v: 1, o: 1, j: 1, z: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a + 3*a - 4*a - 4*a - 5*a. Let l(m) = -66*m. Let c = -119 - -65. Calculate c*w(p) + 4*l(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -6. Let i = 5 + y. Sort 0, i, 3 in descending order.\nAnswer: 3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18875*m**3 - 18877*m**3 + 37751*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {c: 1, n: 2, q: 8, z: 5, s: 2}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, l: 1, g: 1, a: 1}. Give prob of picking 1 a and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {o: 3, a: 1, r: 10, n: 2, m: 1, k: 1}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000183342701 rounded to 7 dps?\nAnswer: 0.0001833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 + (-2106)\/(-52))*-2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 3. Let p be r(-6). Suppose -p*w = 3*a - 42, -w + a = -a - 26. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, b: 2, y: 1}. Give prob of picking 2 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3\/6 - 2471*b**2\/3 + 137563*b\/6 + 23751 = 0.\nAnswer: -1, 29, 4914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -51973, -103945, -155917, -207889, -259861, -311833?\n\"Answer: -51972*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -194*y + 9503. Calculate d(49).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n + 425 - 2425. Suppose 3*w = -86 - n. List the prime factors of ((-45)\/60)\/(1\/w).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-156)\/(-65)*45\/(-198). Sort -0.1, z, 0.5, 13.\nAnswer: z, -0.1, 0.5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/3, 2\/17, 3691, 0.3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-192)\/(-378) + -4 + 374\/99. What is the third biggest value in c, 6, -66, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 - 5*k**2 + k**2 + (-k + 4*k - k)*(5*k + 0*k - 4*k) + 1410*k**2 + 861*k**2 - 1402*k**2 + (k**2 - 2*k + 2*k)*(9 - 3 + 2) + 0*k**2 + 0*k**2 - k**2.\nAnswer: 877*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (187 - -16)*(-3972)\/(-28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2685 - -2942.3. Let o = 272 - m. Let t = o - 14.6999873. What is t rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 5*w - 8. Let i(x) = -x**3 - 20*x**2 + 3*x + 53. Let p be i(-20). What is the remainder when m(p) is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 10*f + 4. Let w be l(10). Suppose -2*a + 24 = 5*r, -3*a + 7*a - 16 = -2*r. List the prime factors of ((-148)\/a)\/(((-32)\/4)\/w).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*o + 5*c, 1039*o + c + 11 = 1038*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.21738 litres to millilitres.\nAnswer: 217.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27\/815 - -125\/163. Let j be 2\/((-1)\/((-2)\/10)). Sort j, 4, z, -33 in increasing order.\nAnswer: -33, j, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4181 - -5725. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-999)\/185 - (-2)\/5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 15*k**2 + 26*k + 8. Suppose -7*x + 5*x + 28 = 0. Suppose 2*l + x = 3*l. What is the lowest common multiple of w(13) and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239505389 to the nearest integer?\nAnswer: 15476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 t when three letters picked without replacement from ttntttnrttrttt.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g + 87 + 183 = -102 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j - 18 = -5*g, 3*j = -4*g + 20. Solve 0*l = g*l + 2*c - 8, -4*c = -l - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o + m - 114, -123*o = -124*o + 3*m - 19 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(931))**2 - (sqrt(19)*5 + -4))*-1.\nAnswer: -936 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18173720.\nAnswer: 2, 5, 29, 15667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x**2. Let i(r) = 302*r**2. Determine t(i(f)).\nAnswer: -729632*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/32 != 0.00064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-5 + 33\/6)) + 0.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6510*h**3 + h - 541 wrt h?\nAnswer: 39060*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*1)**2*-5.\nAnswer: -3500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2031, -8940, -20455, -36576, -57303, -82636?\nAnswer: -112575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 603 - 459 = -18*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 1 = -4*j, 0 = 12*j - 9*j + 4*w - 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 27*f**3 - 21*f - 6 = 0.\nAnswer: -2\/3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - d - 1. Let j(p) = -2*p**2 + 6*p + 45. What is j(z) + 4*r(z)?\nAnswer: 2*z**2 + 2*z + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) - 85\/(-20). Suppose -4*s + 26 = -0*m + 5*m, -j*s = -16. Let a be m\/(-2)*(-2)\/(-10). Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssqqydw. What is prob of sequence ws?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 57, 126, 223, 348, 501?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 = 0, 254 = -m + 2*m - 5*b. What is the greatest common divisor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2354529.\nAnswer: 3, 157, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 9. Let c be w(-12). Solve -1 = -x - c*t, t = 4*x - 4*t - 21 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 105.59645 to one decimal place.\nAnswer: 105.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 443 = -67. Suppose o*y - 96*y - 1206 = 0. Is y a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 8*c**2 + 3*c + 12. What is z(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + 3*t - 5*t)*(-16 - 51*t**2 + 16) + 14*t**3 + 11*t**3 + 7*t - 27*t**3 to j*t**3 + v*t + d + z*t**2 and give j.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 10:53 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - (-2 + 6)) + 0 - -4. Solve 4*a + p - 9 = 0, y*a = -0*p + 2*p + 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bqbqccbcbb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 47. Let q be k\/(-9)*(-12)\/8. Find the second derivative of -4*v**4 + 3*v - 9*v**4 - 2*v**q - 15*v wrt v.\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 49724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 - 2*m**3 + 0*m**3 + (-3*m**2 - 2*m**2 + 4*m**2)*(3*m + 2*m - 3*m) + (42 + 10 + 35)*(2*m**3 - 5*m**2 + 5*m**2) + 0*m**3 - 2*m**3 + m**3.\nAnswer: 169*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**3 + 5*n**2 - 2*n - 10. Let b(f) = 3*f**3 - 5*f**2 + 2*f + 7. Let p(c) = 3*b(c) + 2*s(c). Determine p(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*(-4 + (1 + (sqrt(720) - (sqrt(720) + 0)) + 1 + -4)*-3))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8761*c**4 + 8*c**3 - 126350?\nAnswer: -35044*c**3 + 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -81154*q + 3327318. Give p(41).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 8*j**2 - j + 8. Let t be (-11 - -8) + -5*1. Calculate the smallest common multiple of g(t) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118\/177*(18\/16)\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/3)\/(-4)*-66. Suppose -2*n - 2*n - i = 0. Let k be n\/(-121) + 64\/11. Solve 5*b = 3*y - 16, 0 = y + 5*b + k + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -6. Let n(s) = 2*s**3 + 3*s - 1 + 0*s + 0*s. Let h(f) = f**3 + f. Calculate v*h(w) + 2*n(w).\nAnswer: -2*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9390 by -30.\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1245*f + 1139*f = -5088 for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46046279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaaaaaaaaaata. Give prob of sequence ta.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xooso. Give prob of picking 1 o, 1 s, and 1 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 105930 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p**(-43)\/p))\/(p\/(p*p**(-24))))**(-33) assuming p is positive.\nAnswer: p**(-726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -815145917, -815145916, -815145915, -815145914?\n\"Answer: g - 815145918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1210.902 kilometers?\nAnswer: 1210902000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 52*f**3 + 58*f**3 - 4*f**2.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12*1\/4*-2. Suppose 3*a - 2*o - 5 = 0, -a + 3*o + 5 + n = 0. Let g = 5 + a. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-328)\/12)\/((-7)\/(-3) + -2). Let n = 162 + p. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 1\/3*j**3 + 1\/6*j**4 + 0*j + 7*j**2 + 0. Let l(y) = -56*y + 12*y + 11*y + 19*y + 15*y. Calculate l(b(q)).\nAnswer: 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3874 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-4)*(18 + -2). Suppose 4*r - 4*z - 52 = -z, -2*r + 5*z = -j. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31139379.\nAnswer: 3, 1217, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -50026978 and -15?\nAnswer: 750404670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114688, -229351, -344014, -458677, -573340?\nAnswer: -688003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -20378.8 to the nearest one hundred.\nAnswer: -20400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 34614 (base 7) to base 4\nAnswer: 2022300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 10, 16?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**8\/8 + 13*i**4\/12 - 14*i - 18. Let v(b) be the first derivative of a(b). What is the third derivative of v(x) wrt x?\nAnswer: -840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y + 6. Let u(t) = -1 + 6 - 2*t + 6*t - t. Let c(d) = 6*u(d) - 5*x(d). Let o(v) = -96*v + 36*v + 31*v + 32*v. Give c(o(k)).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 10) in base 16?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 2:00 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 14*x + 306. Calculate b(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**3\/3 - 2*n**2 - 5*n + 4. Give u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - (sqrt(1944) + (sqrt(1944) - (sqrt(1944) + sqrt(1944) + sqrt(1944) + sqrt(1944) + 1*sqrt(1944) + sqrt(1944))) + sqrt(1944)))\/sqrt(12).\nAnswer: 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404096 to the power of 1\/2, to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -2.6733?\nAnswer: -8.0199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 10:56 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-10 + 5 + 15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 97 = 117. Let x(b) = -b**3 + 10*b**2 - 6*b + 53. What is x(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - x - 21 = -1, 0 = -3*o - 4*x - 56. Calculate the common denominator of -28\/27 and (-97)\/o - ((-3 - -1) + 1).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -0.2, 2 in decreasing order.\nAnswer: 2, -0.2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1135*h**3 - 679 wrt h?\nAnswer: 3405*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/42 + 60273\/54. What is p rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 2*i + 30. Let l be i\/9*-3 + 2600002. Round l to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04168l in millilitres?\nAnswer: 41.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 150 = -23863*x + 23868*x, -32 = -p + 4*x for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184044687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/18)\/(6\/(-9)). Suppose d + 1 = -4*s, 4*s + 0*d = -h*d - 2. Suppose -p - 5*p + 30 = s. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9398 rounded to two dps?\nAnswer: 4.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/11, 4, 3, -0.1, 215, 1007?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 7:52 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**3 + m**2 - 2*m - 1. Let i be z(-1). Let u(g) = -g + 23. Let v be u(i). Calculate the highest common factor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 4\/3, -6, -0.1, 6 in descending order.\nAnswer: 6, 4\/3, 3\/8, -0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*k, 4*k - 3*k = -5*x - 5. Let j(z) = -z - 10. Let g be j(-9). Let m be (-5)\/(g + 4 + x). Let h(u) = -u + 1. Give h(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/19 - 85052*o\/19 - 904230338\/19.\nAnswer: -2*(o + 21263)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, 0, -1\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*j - 4*c = 68*j - 76, 5*j - 13 = -c + 23 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3610068 is divided by 1805028.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1438*k - 1403*k - 420 = 0 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 171 divided by 9198\nAnswer: 19\/1022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5037650*n**4 + 7608*n + 382.\nAnswer: -60451800*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*n + 3*n. Suppose 9*c - 10*c = -29. Let f(t) = -5*t**2 + 4*t**2 + 29 - c - 2*t. What is f(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 12*k**2 - k + 2. Give i(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 2)\/(21\/(-2 - -5)). Let a(o) = -o**3 - 6*o**2 - 5*o + 3. Let k be a(-5). Suppose -2*v + 10 = k*v. Sort y, -3, v in ascending order.\nAnswer: -3, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2024142 (base 5) to base 10.\nAnswer: 33047","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Round 157605.944 to the nearest 1000.\nAnswer: 158000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/8*(-1)\/(-3). Suppose 12 - 274 = -99*j + 233. Which is the closest to w? (a) j (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -1, 5, 15, 29, 47, 69?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 9 = -5*u. Suppose -4*y + 35 = u*r, y - 1 = 1. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 8, 195*c + 3*f - 17 = 90*c + 100*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -794 - -786. Calculate the remainder when 88 + -3 + (-30)\/((-40)\/q) is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 2)*0*1. Suppose -9*d = 5*k - 5*d - 13, -4*k + d + 2 = b. Is k at least as big as -19.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.051 + -1.051. Which is the smallest value? (a) -1\/2 (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 111\/18 - 5\/30. Suppose 0 = q - 38 - r. What is the greatest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125.1 + -125. What is the closest to i in -2\/3, -0.5, 4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.168 - 0.19. Let y = c + 0.04. Round y to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.2 (b) -2 (c) -563\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w + 1. Determine g(16).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -53289 and -7.\nAnswer: 373023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/1 + 11655\/5. Let x = -103 + 107. Suppose -x*t + l = -5*s + 2*s, -1737 = -3*t - 3*s. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13721 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-1))\/(-33 - -32). Solve 4*m - 2*l - 6 = o, 3*m + 4*l = 9*l - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - 31 - (2 + (1 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2690124.6 + 6743633.\nAnswer: 4053508.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -25, -2716, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 97? (a) -5 (b) -15 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*v + 8*v + 4 + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a week in minutes?\nAnswer: 96768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 + 24*s**4.\nAnswer: s**4*(s + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 196859128*b**6 + 23393909*b**2 wrt b?\nAnswer: 23623095360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 <= 526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, y: 2}. Give prob of picking 4 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59935\/2411 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s = -15. Let k = -32\/15 - -652\/165. Which is greater: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 18. Let m(v) = -2893. What is m(i) + 2*x(i)?\nAnswer: 2*i - 2929","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/655119961 - -15580718036403\/1290586323170. Let b be (-2)\/(-4) - 387\/1182. Let o = b - v. Calculate the common denominator of 57\/2 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344350 to the power of 1\/2, to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -28.956\nAnswer: -27.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 28. Which is the smallest value? (a) 0.4 (b) z (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14 - 10 - (-7099 + 1). Let f be m - (5 + -8 + 5). What is f rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 40 = -5*t, t + 4*q - 8 = 19. Solve 8 = -5*w + t*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497845*q - 498017*q + 995857*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5582185156.\nAnswer: 2, 1395546289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 6*n**2 + n - 1. Let f(o) = -1837*o**3 + 48*o**2 + 8*o + 1860. Let b(k) = f(k) - 8*w(k). Find the first derivative of b(g) wrt g.\nAnswer: -5535*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 18*m**2 + 36*m - 9. Let l(w) = w**2 + w. Let u(n) = h(n) - 36*l(n). Differentiate u(q) with respect to q.\nAnswer: -36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 4168136?\nAnswer: -1\/4168136","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 7. Let u be n(-11). Let t be 78\/(-120) + u\/10. Sort t, -1\/5, 54.\nAnswer: t, -1\/5, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*x**4 + 1 + 4 + 1053*x**2 - 7 + 31*x**4 + 377*x**2 to n*x**2 + a*x**3 + f*x**4 + y*x + w and give n.\nAnswer: 1430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20433 (base 6) to base 12\nAnswer: -1719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223119496 to the power of 1\/3, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*b + 24, -5*b = -2*o + 3 - 32. What is the smallest common multiple of b and 17?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6\/5, -366036 in descending order.\nAnswer: 6\/5, -1, -366036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/(4\/(-48)). Let d be (-5)\/20 + (-50)\/n. Solve p + d = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7613 + 7613 - 7885*v**3)*(v**2 - 2*v + 2*v).\nAnswer: -7885*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2970)\/198*(-1)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, t: 1, p: 4, g: 1, j: 2}. Give prob of sequence jtg.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120877927?\nAnswer: 37, 743, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*w)*(3*w**3 - 2*w**3 - 5*w**3) + (-2*w - 3 + 3)*(3*w**3 + 0*w**3 - w**3) + (-2 - w**3 + 2)*(w + w - 4*w) - 4*w**4 - 10*w**4 - 6*w**4.\nAnswer: -14*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -242.2701 - -0.292?\nAnswer: -241.9781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 15 = -r. Suppose -49 = -6*o + 23. Let b(a) = a + 5. Let x be b(o). Solve x - 2 = -r*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-60))\/(18\/(-40)). Let s(r) be the second derivative of 1\/5*r**5 - 2\/3*r**4 + 0*r**2 + 7*r + n*r**3 + 0. Determine o so that s(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 237, 0.8, -3, 0, -1, 1\/8.\nAnswer: -3, -1, 0, 1\/8, 0.8, 10, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 125585c2?\nAnswer: -125585c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y - 3*y + 3*y - 6*y. Let a(c) = -3*c. Give a(b(o)).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265151497.\nAnswer: 13, 20396269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, f: 2, l: 5, b: 2, k: 1}. Give prob of sequence lf.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 8:26 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**5\/20 - 3*o**4\/4 - o**3\/2 - 13*o**2\/2 + 3*o. Let u be j(-9). Let f = -6 + u. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20200 (base 3) to base 14.\nAnswer: -cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.635*-6.\nAnswer: -111.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 340309 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from {w: 1, b: 1, v: 10, n: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**2. Let u(g) = 17*g**2 + 950*g. What is u(n(z))?\nAnswer: 612*z**4 + 5700*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 68 - 33 - (-17 - -14)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d = 21*d - 18*d + 1997334. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-6))\/(3\/2). Let d = m - -1. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1900) + -4*(sqrt(1900)*1 + sqrt(1900)) - (sqrt(171)\/(sqrt(9) + sqrt(72)\/sqrt(8)) + sqrt(38)\/sqrt(2)*3))**2.\nAnswer: 294*sqrt(19) + 410587\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15430 - 32?\nAnswer: 15354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 1. Let o be s(4). Let z(f) = -2*f + 0*f**3 - 2*f**2 + 4 + 0*f + 2*f**3. What is the remainder when z(o) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from eaaueqeetuqqqq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k + 1852 + 855 - 842 + 1800)*(-2*k**3 + k**3 - 3*k**3).\nAnswer: 4*k**4 - 14660*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from pqg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 4:38 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125 + 421. What is the highest common divisor of y and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -3 (b) 4 (c) -512621\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9816496 + -1.07.\nAnswer: -9816497.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6765419606 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5fec4 (base 16) to base 6\nAnswer: 12230552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -9.5. Suppose l + 4*i - 29 = -i, -5 = -i. Suppose 3*z - 12 = 4*f, 3 = -l*f - 2*z + 11. Which is the nearest to f? (a) 0.4 (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2753, 2754, 2755, 2756, 2757?\n\"Answer: c + 2752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*p + 3048, -5*v + 5*p - 4*p + 3049 = 0. What are the prime factors of v?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/51 - 55\/204. Let q be -2 + 2064\/(-15) + 2. Let u = 138 + q. What is the nearest to 3 in z, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 105*y - 6882 = 79*y for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.7 + 7. Let m = -1 + 1. Which is the closest to m? (a) -1 (b) q (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2728 by 8.\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-18) + -2)\/((-2)\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b0 + 205?\nAnswer: 5b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0465904 + -13383.1353.\nAnswer: -13383.0887096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -488147 - -2?\nAnswer: -488145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 12:34 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*m - j, 3*m + 5*j = 2 + 8. Suppose 6*p - 2*p - 126 = -2*g, m = 5*g - 5. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18014 divided by 1.\nAnswer: 18014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 6*n + 3*z, 5*n = -59693*z + 59683*z - 25 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41474 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 5*o + 3. Let w be h(6). Let d(n) = -n + 1. Determine d(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 441 = -3*j + 1654, -2*j + 5*r + 767 = 0. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -26*f. Let b(m) be the third derivative of -m**5\/60 - 16*m**2. What is b(w(h))?\nAnswer: -676*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**(-6\/7)*(i*i**13*i)\/i*i\/(i*i*i\/i**13) assuming i is positive.\nAnswer: i**(163\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -998*c**3 - 4797*c**3 - 2875*c**3 + 599*c**3.\nAnswer: -8071*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 15*f = 0. Suppose 4*q - 3*y - 88 = y, f = q - 3*y - 28. What is the remainder when 33 + (2 + -2 - -3) is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -134.4 and -3304\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101010100010 (base 2) to base 16.\nAnswer: -2aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0 (c) 0.1 (d) 21 (e) 208\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 3*m + m)*(16*m - 35 + 35)*(0*m - 3*m + 2*m).\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 64 and 0.338 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -11*a + 49. Suppose -11 = -a*p + 5*p. Let u be (-2)\/4 - (p\/(-2) + 3). Calculate the greatest common divisor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/190 and 29\/181925.\nAnswer: 363850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 785 divide 222433647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -1316?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwwz when four letters picked without replacement from zzzwwzzzzwzzzzwzzzw?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - v + 13*v + 18*v - 34*v - 48.\nAnswer: -4*v - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/(8*-1 - 8073\/(-1012)). Solve 4*r - 15*r = -z for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3639?\nAnswer: 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 - x**5 + 0*x**5 + 2*x**5 + 2*x**5 - 6*x**5 + (2*x**2 - 2*x**2 - x**2)*(-3*x + x**3 + 3*x) + 3*x**4 + x**5 - 3*x**4.\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -68053 - 0.14?\nAnswer: -68053.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upm when three letters picked without replacement from {u: 4, m: 1, p: 4, n: 1, x: 3}.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15042502 (base 7) to base 6.\nAnswer: 50252501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -9426, 3, -5?\nAnswer: -9426","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/4 and -113\/768698.\nAnswer: 1537396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 0*y**6 + 1\/7*y**7 + 0*y**5 + 3*y + 0*y**4 - 7\/6*y**3 + 0 + 0*y**2. Find the second derivative of s(l) wrt l.\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-41)\/6)\/41.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k**(-1\/15)*k)*k*k*k*k**(-1\/4)*k**(-5)*k\/(k*k**(-1)) assuming k is positive.\nAnswer: k**(-11\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3 = -7, 9 = u + 4*f. Let r be 7\/(-2)*72\/(-21). Suppose 0 = -7*p + 3*p + r. What is the least common multiple of u and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330829459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 + 154088188\nAnswer: 154088186.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, z: 1, a: 2}. What is prob of sequence ao?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-2))\/(24\/(-36)*3*1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-28)\/98 - (-422)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = 80*t - 541 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 2, 13, 48, 119, 238, 417, 668?\nAnswer: 1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 46. Solve 3*j - j + 5*p = -q, -4*p = 5*j + 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(230\/(-140))*(-1)\/(-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 191 - 188. Solve -h - 28 + 44 = -k*r, 0 = 3*h + r + 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -79*t - 668. What is the remainder when x(-10) is divided by 107?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -141 - -59396?\nAnswer: 59255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*z + 3*j - 16, 5*z + 3*j = 17. Let u(r) = -r + 7. Let n be u(4). Let k = n + z. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38\/(-6) - 1\/(-3). Let i(n) = n**2 + 8*n + 14. Let z be i(u). What is the second derivative of -10*f + 43*f**2 - 26*f**z - 6*f**3 - 17*f**2 wrt f?\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*f**5 + 74*f**3*m**3 + 28*f**2*m**3 - 2*f**2 + 12 wrt f.\nAnswer: 1260*f**2 + 444*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3188.490605 - 0.4.\nAnswer: 3188.090605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-960)\/336)\/((-2)\/(-7))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(1225)*-1)\/((sqrt(405)\/sqrt(3))\/sqrt(3)).\nAnswer: -7*sqrt(5)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 256.9574 + 1.0826. Let s = -258 + f. Is -1\/19 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 - -87. What is the remainder when 56 is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(y**2 + 2*y**3 - y**2) + 9*y - 17*y**3 + 18*y**3 - 25*y.\nAnswer: -3*y**3 - 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2.1. Let o = -245177 + 245177. Let l = -5 - 0. What is the closest to o in 2\/11, l, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, -23, 394, -1\/6 in descending order.\nAnswer: 394, 0.2, 0, -1\/6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-9)\/(-6))\/((-18)\/8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -11, -10\/3, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/7 (b) 140 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 0*g - 9. Let d = 6 + g. Find the third derivative of 3*b**4 + 3 - 3 - d*b**2 wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 641*b**3 + 918*b**3 - 693*b**3 + 418*b**3 + 2471*b**2 wrt b?\nAnswer: 7704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.3 * -1.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**23)**(-50)\/((h**5\/h)\/h**10)**3 assuming h is positive.\nAnswer: h**(-1132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*1*-3*3 + 2.\nAnswer: -9*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f**(-4)\/f))\/f)\/(f*f**(-3)\/f)*(((f\/(f*f\/(f*f*(f**(-2\/7)\/f)\/f)))\/f)\/f)**(-15))**11)**(-45) assuming f is positive.\nAnswer: f**(-198495\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 553044 != 553045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*z + 1066 = -48*z - 22*z for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**3\/2 - 31*i**2\/2 + 4*i. Let t be s(9). Find the common denominator of 13\/42 and 3 - ((-913)\/(-18) - t\/(-18)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12291882.\nAnswer: 2, 3, 29, 41, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express l - 136 + 17 + 54 as t*l + o and give o.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20118?\nAnswer: 2, 3, 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92465 is divided by 92462?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 330563 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4351412 - 2?\nAnswer: -4351414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 11:18 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejsj when four letters picked without replacement from {s: 1, j: 2, e: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165 or 1?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 159579 to the power of 1\/2, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 + -0.1. Let k = -11571 + 46283\/4. What is the nearest to r in 5, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*h = 3*k + 187*h + 14, 0 = 5*k + 2*h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10380 + 10384. Let l = 4 - 3.2. What is the nearest to l in 1\/2, -6\/7, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-2))\/(1 + -2). Suppose 5*a + u*a = 15, -a = 3*m + 87. Calculate the common denominator of 18\/23 and (-2 + 38\/20)*m\/(-12).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*sqrt(2736) + sqrt(2736) - sqrt(2736))*-5 - (1 + sqrt(2736) + sqrt(2736) + 2))**2*-5.\nAnswer: -5253390 + 17280*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1153.2 and -1.\nAnswer: 1152.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-15\/2)*g**(-31))**(-17) assuming g is positive.\nAnswer: g**(1309\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -2, -4 in decreasing order.\nAnswer: -2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*-132*(-30)\/1440.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 235*q + 27 = -234*q, -5*q = 3*u + 27 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymyymymyyyyy. Give prob of sequence mmm.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1824 = -334*z + 3186 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*a + 2903 - 3321 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/((-9)\/78)*1. Let w be 4\/14 + c\/(-7). Let z = w + 16. What is the smallest common multiple of z and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 1. Suppose 117*h + 149*h - 81*h = 740. Solve -w*r + r = h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 + 0 + 16*f - 41*f + 18. Let s(y) = -y**2 + 13*y - 9. Let c(t) = -5*s(t) - 2*x(t). What is the tens digit of c(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -10. Let g = 1 - j. Put 0, 4\/5, g, 0.2 in increasing order.\nAnswer: 0, 0.2, 4\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2821.\nAnswer: 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/7, 555, -31, 0.4, 0.5 in decreasing order.\nAnswer: 555, 3, 0.5, 0.4, -1\/7, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 a when three letters picked without replacement from zpzazzppzzaz.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -161, -326, -495, -668, -845?\n\"Answer: -2*r**2 - 159*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4626*g + 4645*g = 38. What is the remainder when 3 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -0.11.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -992910 - -1030902.44. Let z = j + -37991.8199902. Let i = z - 0.62. Round i to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(1\/1*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 929131951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2113 is divided by 142?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*y - 38 = 286*y - g, 0 = 6*g - 170 + 32 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 55, 103, 159, 217?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32194726?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + 101?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**2*w**2 - 6556392*a**2 - a*w**3 - w**3 - 590*w**2 - 2*w + 1657 wrt a.\nAnswer: -4*a*w**2 - 13112784*a - w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, n: 1, j: 2, p: 2}. Give prob of picking 2 j and 1 p.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**3\/7 - 352*v**2\/7 + 1636*v\/7 + 1992\/7 = 0 for v.\nAnswer: -1, 6, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4816856, -4816854, -4816852?\n\"Answer: 2*q - 4816858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6584, 6563, 6552, 6557, 6584?\nAnswer: 6639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -222*u + 383 - 387 + 216*u. Give j(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -6 - (0 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1824 - -9141\/5. What is the nearest to t in 0.3, 4, 0.2, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7082 is divided by 370.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.8 times 0.213?\nAnswer: -2.5134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -4 (b) 3\/7 (c) 0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*b - 4*q = -54*b - 25, q - 13 = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*t - 37*t - 35*t - 59*t - 33*t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/6 and 1\/421?\nAnswer: 2526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*d + 15 = 0, 5*o - 20 = 3*d - 7. Let 9*q + 9567*q**o - 2*q**3 + 35*q**3 - 9534*q**2 - 6*q**5 + 3*q**4 = 0. What is q?\nAnswer: -1, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*c**3 - 24*c**3 - 21*c**3 - 28*c**3 - 119*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(4 + sqrt(1300) + (1 + sqrt(1300) - sqrt(1300))**2))*5.\nAnswer: -150*sqrt(13) - 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1428, 5721, 12886, 22929, 35856, 51673, 70386, 92001?\nAnswer: 116524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-10)*10\/(-16). Suppose -5*p + 0*p + 10 = 0. Which is bigger: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(8\/636))\/(((-99)\/(-88))\/(3\/(-4))).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 - 4*l + 4. Suppose -24*r - 4 = -26*r. Let p(v) = 6*v**2 - 21*v**2 - 9 + 9*v + 10*v**r. Calculate 9*k(y) + 4*p(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20148 + -20025. What is the remainder when f is divided by 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*h + h + 5, -5*o = 4*h + 45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + w + 2 = -w, 4*a + 2*w = 0. Let g(z) = 0*z - 82*z**2 + 0*z + 69*z**a. Let o(i) = -4*i**2. Give g(o(d)).\nAnswer: -208*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22.4, 5, 0.1, -340.\nAnswer: -340, -22.4, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 - 13*c - 54. Give s(13).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -819, -1655, -2491, -3327, -4163?\n\"Answer: -836*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.699 + 0.5. Let t = 0.2039 + m. Round t to four dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**3*y**3 - 2*f**3*y - 40*f**3 + 5*f*y**3 - f wrt y.\nAnswer: -36*f**3*y + 30*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h - 20. Suppose -u = 2*u - h. Suppose 3 = u*j - 3. Solve 0 = -5*f - 10, 3*c + f = j*f - 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 103.1\nAnswer: -618.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 34 times -308086\nAnswer: -10474924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8080 divided by 1616?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q - q + 2 - 2*q - 2*q to f + w*q and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 + l + 5. Let g be j(4). Let c be (-16)\/4*(-82)\/(-8). Let h = c + g. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*g**2 + 4*g**2 + 16*g**2 + 4*g**2 + 8*g**2 + 2*g**2 + (0 - 1 + 0)*(-g**2 + 0*g**2 + 2*g**2).\nAnswer: 41*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18367\/2082 + -4\/347. Calculate the common denominator of 29\/27 and o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*a + 19*a - 2 + 4*a**2)*(2*a + 1 - 1).\nAnswer: 8*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54808\/(-3162) - 26\/(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-424)\/(-85) + (-72512)\/16480.\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + l + 900 = 0. Suppose 0 = 2*o - 10, u - 4*o - l = 38. What are the prime factors of u?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let c(m) = m**2 + 3. Suppose 2*y + 0*t + t + 3 = 0, 4*y - 3*t = 19. Let k(a) = -5*a**2 + 43*a - 18. Let o(v) = y*k(v) + 6*c(v). Determine i so that o(i) = 0.\nAnswer: -43, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/12*(-3)\/(-4). Let p = 48 + -45. What is the closest to -1 in q, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**4\/12 + w**3 + 4*w**2 - 3*w. Suppose 0 = -5*d - h - 35, 0 = -3*d + h - 13. What is i(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 3:13 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 20232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4554617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57914\/915 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 15 = d. Suppose -l = t + 4*l - d, 4*t + 5*l = 243. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-103)\/(-2) - 3\/6 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -3, 12\/5, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14613.\nAnswer: 3, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -4.7 (c) 6951\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -8834*l - 8503. Give a(-1).\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*f - 15 - 3, -2*x = -2*f - 32. Suppose -x*j - 1 = -13*j. Let l be (-10)\/((-6)\/3 - -4). Sort -16, l, j in decreasing order.\nAnswer: j, l, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003321010122 (base 4) to base 2.\nAnswer: 1000011111001000100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 789*f*k**2*v + f*v + 5*f - 513*k**2*v + 22*k - 15 wrt k?\nAnswer: 1578*f*v - 1026*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + d**2 + 5*d + 3.\nAnswer: -(d - 3)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -600 + -6*84\/24. What is the second smallest value in o, 4, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -492307845*y**3 - 116080486.\nAnswer: -1476923535*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13414 - 13451 - 11*m**3 + 5*m**3 + 0*m**2 + 0*m**2 - 2*m**3 + (m**2 - 3*m**2 + m**2)*(-1 + 2*m + 1) - m**2 + m**3 + m**2.\nAnswer: -9*m**3 - 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.105331 to three decimal places.\nAnswer: -0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*m - 185*m + 110 = 0. Sort -3, -1, m in ascending order.\nAnswer: -3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704113?\nAnswer: 151, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 348 and 984?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 52*l + 169.\nAnswer: (2*l + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 6*r - 3. Let b be a(7). Let c(w) = 4*w + 5. Let q be c(b). What is the highest common factor of 14 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.8+8\nAnswer: 14.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 250 = f - 1652, -4*f = 5*o - 7553. Which is greater: f or 1880?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2654c (base 13) to base 9.\nAnswer: -117615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2735*n + 38728. Give m(15).\nAnswer: -2297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**3 - 2*o**2 + 2*o - 2. Let a be d(-3). Suppose 20*k = 19*k - a. Let w = -50 - k. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92.985 - -0.015. Let p = g + -94. Let m be (-2)\/(-12) + (-7)\/(-30). What is the nearest to 0.5 in m, p, 1\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 = 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(153)*-5)**2 + (sqrt(153) + -1 + 0 - (-2 + -1*sqrt(153))**2).\nAnswer: -9*sqrt(17) + 15143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18478 - 9335. What is the thousands digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -16188 - -16188.1647. Round m to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -1, -0.94 in ascending order.\nAnswer: -1, -0.94, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -46008 divided by -18\nAnswer: 2556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1432 + 1440. Solve 19 + f = -9*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -852, -1513, -2170, -2823, -3472, -4117?\n\"Answer: 2*h**2 - 667*h - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(2\/(-2)))\/(((-19877)\/2145)\/(-139))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - b - 1. Let d(x) = -5*x**3 + x**2 - x + 5. Give d(i) + z(i).\nAnswer: -5*i**3 - 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3569, 14274, 32113, 57086, 89193, 128434, 174809?\nAnswer: 228318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 26832013?\nAnswer: 2\/26832013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-4)*(-24)\/66\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faffa. Give prob of picking 1 a and 2 f.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 2. Let n(r) = r**2 + 19*r + 86. Let b be n(-7). Suppose 2*s - 4*u + b = 12, 11 = 5*s + 4*u. Let g(p) = 6*p - 10. What is s*g(k) + 14*q(k)?\nAnswer: 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329 = -3*i - 4*i. What are the prime factors of i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*z**2 - 294*z**2 + 152*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 7. Let h(p) = -2. Let b(j) = -6*a(j) + 17*h(j). Let o be b(2). What is the second derivative of -o*s**4 + 36*s**4 - 25*s**4 + 13*s wrt s?\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3195 to two decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 542146 + -542146. Let -1\/4*o**4 + 1\/4*o**5 + m - 9\/4*o**3 + 0*o + 9\/4*o**2 = 0. Calculate o.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**4 - 103*q - 3108 - 3115 + 6221 as m*q**2 + l + u*q + p*q**4 + b*q**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 45713, 45721, 45743, 45785, 45853, 45953, 46091?\n\"Answer: f**3 + f**2 - 2*f + 45713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -206*t**2 - 253*t**2 - 748*t**2 to the form y + w*t**2 + r*t and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 13 = -3*p, -3*p = -5*i + 2*p - 35. Let h(o) = 1. Let k(f) = -f. Let j(s) = 4*s + 2. Let u(r) = -j(r) - 2*k(r). What is i*h(g) - u(g)?\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9896014?\nAnswer: 2, 79, 62633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*h + 87 = -33. Let i = 0.7 + 0.5. Let b = 2.8 + i. What is the third biggest value in b, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*((-21)\/(-27))\/(815\/2445)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 26 = 18*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(5\/13)\/s*s**(-26\/7)*s assuming s is positive.\nAnswer: s**(-303\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17.7 and 6803.\nAnswer: 6820.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 3*u - 6*u**2 - 3*u**2 as i*u**2 + n + s*u and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205590 is divided by 16978.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.8 - 17. Let o = -0.2 - s. What is the nearest to o in 1\/5, 3\/7, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 + 6*r**4 - 2*r**4)*(5116 + 2806 - 3899).\nAnswer: 8046*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15 + 5*c**3 - 6*c**2 - 11*c**3 + c**2 + c**3 + 25*c.\nAnswer: -5*(c - 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1570 and 1727314?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6049*j = 2836*j + 199206 for j.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -270 - -275 - ((4 - 2) + -9)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001170796191 rounded to seven dps?\nAnswer: 0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 254. Let w(r) = 4*r**2 - 7778*r + 3. What is w(k(l))?\nAnswer: 16*l**2 - 11492*l - 1717545","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -2*n + 5*w + 3, 6*n + n + 4 = 7*n + 4*w for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -8, -36, -96, -200?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**7\/105 - 11*i**3\/2 - 27*i**2. What is the first derivative of t(m) wrt m?\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (25 + -37 - (-2 + -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j**2\/3 - 73*j\/3 + 27 = 0.\nAnswer: -81\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/18 and -155\/852228?\nAnswer: 852228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -53. Put 0, b, 6 in increasing order.\nAnswer: 0, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10964667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/171240 and 101\/142700.\nAnswer: 856200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110000101000010 + 110?\nAnswer: -100110000100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 522234838 from -203.\nAnswer: -522235041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (37\/(-3))\/(-1)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 773 + l**3 - 157 - 249 - 172 + 4*l**2 to the form c*l**2 + f*l + w*l**3 + p and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - (-6 + -2) - (-1435)\/(-478). Which is bigger: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/21657 and -115\/18.\nAnswer: 129942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3012.2064 seconds in days?\nAnswer: 0.0348635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxfccszxxx. What is prob of sequence scc?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 - 55. Is 15 a factor of j - (-1)\/(1 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -532436?\nAnswer: -532425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (-2 + 1))\/(-1). Let r be 2 - 0\/(2\/(1\/1)). Which is bigger: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + y**2 + y + 1. Let w(l) = 18*l**3 - 9*l**2 - 9*l - 9. Let a be 45*3*(-2)\/(-30). What is a*j(o) + w(o)?\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2463283 - -12?\nAnswer: -2463271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 + 48*v + 195. Determine a(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + i**3 + 2*i + (2*i**2 - i**2 + 0*i**2)*(-2 + 2 + 2*i) + (-9 + 11*i**2 + 9)*(-i + 2*i + i).\nAnswer: 25*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053\/297*(-24)\/52?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45234, -90315, -135250, -180045, -224706?\nAnswer: -269239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a**37)*a)*(a*a\/a**(-1\/25))\/a)**(2\/67) assuming a is positive.\nAnswer: a**(1902\/1675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*m - 3*d - 48867 = -142*m, 3*m - 146608 = 2*d. What is m rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: d8c (base 14) to base 7\nAnswer: 10535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - 6*-1*sqrt(114)) + sqrt(114) + sqrt(114) + sqrt(114))\/sqrt(6)*5.\nAnswer: 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m. Let x(h) be the second derivative of 5*h**4\/3 - 3*h**3\/2 + 19*h + 1. Determine s(x(g)).\nAnswer: 120*g**2 - 54*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65086 is divided by 678.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -5, -6.\nAnswer: -6, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 101 in -3\/5, -0.01, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 - 11*u**3 - 6*u**3.\nAnswer: -23*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/182 and -121\/5304.\nAnswer: 37128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/794 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30273*((-1)\/(-3) + -47 + 47) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 15. Let t(a) = -2*a - 10. Let n(c) = -c**3 - 6*c**2 + 3*c + 7. Let p be n(-6). Let v be t(p). What is the highest common divisor of v and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.40368 to 2 decimal places.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4160400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 10, 71*p - 73*p + i = 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/3*147\/36 and 598\/188 + (-17 - (-16 - -3)).\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 20*p + 383 = -31. Are -324\/19 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.001 plus 150?\nAnswer: 172.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/9231780 and 23\/5539068.\nAnswer: 27695340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*l**3 + 0*l**2 - 6*l**2 + l - 5*l + 55 - 55 in the form p*l + i + z*l**3 + m*l**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 - 4*w)*(-3 + 5 + 0) - w - w + w)*(-5 + 3 + 3) as j + h*w and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 y when three letters picked without replacement from yyyyyuuyyyyy?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 25*m - 28. Calculate s(22).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 2*z + 2*z)*(2*z**2 + 15*z**2 - 3*z**2).\nAnswer: -56*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/1 + 1 + -1. Let z = o - 3. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000088822 to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14384 + -215758\/15. What is the second smallest value in -1\/3, -1\/28, y, 4?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/9 (b) -2 (c) 12352\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 30. Let v(y) = -10. Calculate -3*o(k) - 8*v(k).\nAnswer: -3*k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*h**2 - 4008*h - 22113.\nAnswer: -(h + 567)*(7*h + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 46601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 17 - 2*j + 3*j - 5 + j**2 - 13 + 561*j**3. Let s be i(1). Let v = s + -328. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + sqrt(128) + (sqrt(128) - (-1 + sqrt(128))*2))**2 + 0 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 1345?\nAnswer: 672.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 593*l - 3821. Calculate x(7).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -111 + 106. Let d(y) = 8*y - 2. Let f(w) = -w. Let r(s) = -3*s. Let p be r(-6). Let x(u) = p*f(u) + 2*d(u). Let b(m) = -1. Determine j*b(v) + x(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1586, 10, 4, 5 in decreasing order.\nAnswer: 1586, 10, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/7 or 1\/4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60830?\nAnswer: 2, 5, 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 28*p + 79650 = 0. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 4 (b) -0.1765 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 175 = 6*d. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 349*m**2*q*t**2 - 203*m**2*q*t + 487*m**2*t**2 + 63*m**2 + 3*q wrt t?\nAnswer: 698*m**2*q + 974*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i - 50145*i**2 + 50151*i**2 - 9*i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + 2*w - 2*w + (0 - 1 + 0)*(w + 0*w + w))*(-w + 3*w - w - 1) as l*w + m + v*w**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 544 by 136.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.12 + -3.12. What is the nearest to 2\/15 in 0.2, a, -3\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 6:11 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -1, 2\/9, -0.09?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.65 - -25.65. Which is the closest to 1\/4? (a) -6 (b) -4 (c) 3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*o**4 - 6*o**2*z + 3*o*z - 319*z wrt o.\nAnswer: 24*o**3 - 12*o*z + 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/511 and -38\/7?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -0.164286.\nAnswer: -0.264286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5\/3 - 17*l**4\/3 - 97*l**3\/3 - 227*l**2\/3 - 226*l\/3 - 80\/3 = 0.\nAnswer: -8, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55509049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1253 - -1786. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (64\/20)\/((-2)\/(-5)). Let s = 12 - u. Suppose t + 28 = s*f + 6*t, 0 = -5*f + 2*t + 68. Calculate the least common multiple of f and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 19893870.\nAnswer: 218832570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p + 128 = 4*a, 370*p - a + 4*a - 72 = 368*p - 2*a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 184 + -172. Solve -m*f = 4*f - 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*d + 12, 4 - 12 = 2*d. Is 32\/267 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95397707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3\/4 + 75*q**2 - 1135*q\/4 + 210.\nAnswer: -5*(q - 56)*(q - 3)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -3*w + 3*d - 21, w - 5*d + 12 = 0. Let g be -3*1\/(-1) + -3. Suppose -4*l + 0 + 20 = g. Calculate the remainder when l is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*r. Suppose 0*s - 4*s + 3*h - 49 = 0, r = -3*s - 3*h - 63. What are the prime factors of (2 - s\/(-10))*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5510 and 120903900.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*k**3 + 4*k**3 + 27*k**3)*(-5*k + 0*k + 3*k) to n + z*k**2 + s*k + c*k**4 + y*k**3 and give c.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126705830?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times 1694?\nAnswer: -2371.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 6*j**2 + 10*j + 20. Calculate u(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/12 and 31\/1384.\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 11, 0.17, -3\/2 in descending order.\nAnswer: 11, 5, 2, 0.17, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 6*r**2 - r - 5. Let f(x) = x - 11. Let a be f(5). Let p be k(a). Let o be (-10)\/(-2) - (-1 + p). Put 1\/5, 1\/7, o in ascending order.\nAnswer: 1\/7, 1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/399*(14 + -10 - -3)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + r = -4*r + 8, -r = -2. What is v in 9*v**2 + 0 - 6*v**3 + 2 - s - 3*v = 0?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/24 + 25\/(-750)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1*(-989)\/(-359007).\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 548, -3, 0.3 in ascending order.\nAnswer: -3, 0.3, 65, 548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1\/9 (b) -0.5 (c) 2\/17 (d) 9\/2 (e) 2\/9 (f) -5.9 (g) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 202141?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -313 + 315. Suppose 3*b = -u*o + 1922, -o - 4*b - 4828 = -6*o. List the prime factors of o.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**6\/180 - f**5\/120 - 4*f**3\/3 + 4. Let q(t) be the third derivative of s(t). Let h be 3\/4 + (-198)\/72. What is q(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -900779 not equal to -900535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 24. Let o = -7 - q. Suppose -o*u - 2218 = -4*y, -3*y + 2092 - 416 = u. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-2) - (120294\/17604 + 14\/12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 34*n**2 - 98*n + 154. Let k be h(31). Is k at least as big as -1\/447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, 11, 24, 35, 44, 51?\n\"Answer: -o**2 + 18*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 13 + 7 + 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 94, 0, 2, -7 in increasing order.\nAnswer: -7, -3, 0, 2, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -506164*r**3 + 142*r**2 + 1266682*r.\nAnswer: -3036984*r + 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2265807736.\nAnswer: 2, 17, 16660351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203.795 - -0.2.\nAnswer: -203.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29.80174 and -1.\nAnswer: -29.80174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/100 and 45\/2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/10247, -1, -0.1 in increasing order.\nAnswer: -1, -0.1, -2\/10247, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -657, -2425, -5369, -9489, -14785, -21257, -28905?\nAnswer: -37729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 617282 - 617282 + 7479*t to the form a*t + c and give a.\nAnswer: 7479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/10*3*-13*2\/6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111.569 + 111.1. Let p = -0.149 - c. Are 0.1 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aasaaspdpdpaxppppa. What is prob of sequence xd?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-75)*3485\/(-1394)*12\/10.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*n - 15, 5*z - 2*n = 3*n - 15. Suppose 0 = -5*t - 0*t + 20. Suppose z*p + 2*p = t. Solve 3 = p*d - 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 537315 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10072 + 23?\nAnswer: 10115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 11*s = -9. Solve 4*w = -2*h - 2, 6*h - 11 = s*h + w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*y = 27*y - 414. Put 4, y, -8 in descending order.\nAnswer: 4, -8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222012351?\nAnswer: 3, 11, 2242549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**4\/8 + 81*v**3\/8 - 219*v**2\/8 - 1269*v\/8 - 483\/4 = 0.\nAnswer: -2, -1, 7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3830 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 7*p**2 + 8*p + 15. Let a be s(-6). Suppose -k - 4 = -2*y, -16 = -2*k + a*k - 5*y. Suppose -w = f - 13, -w + 0 = -k*f + 2. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245 and 7165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12022020222122 + -200?\nAnswer: -12022021000022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 12*q + 60. Calculate b(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 48281238?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 7*x + 5*x. Suppose -7*s + 119 = -x*s. Calculate the highest common factor of s and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*b + 12807 - 12807 + 63*b.\nAnswer: 111*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3352363 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5238*d = -71876 + 302348 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 30 = -0. Suppose 2*l = -5*k - 5, 11 = -4*k + 4*l - 7*l. Let n = k + q. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11888, 23768, 35648?\n\"Answer: 11880*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (285\/(-342))\/((-25)\/(-135))*-14?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/24)\/((-26)\/(-39))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -348*b**2 + 24965 - 24936 - 86*b**2 wrt b?\nAnswer: -868*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(75\/6)*10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1054\nAnswer: -1\/1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 713.1545l to millilitres.\nAnswer: 713154.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 17*b - 15*b. Let v(a) = -a**3 - 14*a**2 - 2*a + 11. Let p be v(b). What is the greatest common divisor of 390 and p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17391 and 15504?\nAnswer: 5286864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjj when three letters picked without replacement from {j: 8, y: 5}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 428800.8ns to seconds.\nAnswer: 0.0004288008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 - q**5 + 3*q**5 + 3 - 2*q**5 - 3 + (0*q - q - q)*(2*q**4 + 4*q**4 - 5*q**4) - 2*q**5 - 1 + 1 + 29*q - 34*q**5 - 29*q.\nAnswer: -37*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*u + 4374, u + 18*x - 22*x = 2193. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10059 + 7*y + 4021 + 14*y - 9*y.\nAnswer: 12*y + 14080","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2 + 2, 37 = s - 2*b. Suppose m - 373 = 47. Suppose -3*c - 359 = -4*i, -5*i = c + c - m. Calculate the remainder when i is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42458 and 9269?\nAnswer: 1316198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21020 - -100011?\nAnswer: 121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1284, -10039, -33796, -80055, -156316, -270079?\n\"Answer: -1250*x**3 - x**2 - 2*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 4. Let a(x) = 2*x + 8. Let u(v) = 4*a(v) + 9*q(v). Let m be (1 - 8\/7) + 85\/7. Suppose 14 = -m*f - 70. Give u(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1236.\nAnswer: -1\/412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Let m(n) = -3*n + 3. Let t be m(2). Let w = -4 + 9. Sort w, t, q in increasing order.\nAnswer: t, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*o + 1143*o**2 - 15 - 29 + 24*o + 11*o.\nAnswer: 1143*o**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -2\/431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 385 = -5*l, d + 77 = l - 0*l. Let r(p) = -p**2 + 25*p - 94. What is the remainder when l is divided by r(19)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 4:28 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12201 + 12205. Solve -2*q = -2*x + 24, -10*x = n*q - 9*x + 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15748469.73 to the nearest one thousand.\nAnswer: -15748000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58.3 + 58. Let x be 2*-3 - (1 + 91\/(-13)). Let k be ((-1)\/6)\/(8\/66). Which is the nearest to x? (a) z (b) -3\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1412553 (base 7) to base 13\nAnswer: 678b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-2) - (-78)\/1. Let p = 124 - n. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -4137*b**3\/2 - 3189*b**2 + 9*b + 344. Differentiate s(g) with respect to g.\nAnswer: -12411","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*i + 258*i. Sort 1, 72, i, 5 in decreasing order.\nAnswer: 72, 5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 102? (a) 2\/11 (b) -2 (c) 0.227 (d) 2\/5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44369 is divided by 7394?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1280948?\nAnswer: 2, 320237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 6)\/((-1)\/(-12)). Suppose -32*f = -2*h - 36*f + 10, -2*f = -h + 5. Solve h*d + v = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 280\/589 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44735, -45232, -46581, -49208, -53539, -60000, -69017, -81016?\nAnswer: -96423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (66\/(-9)*-3)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.3. Let i = -4 + 15. Let q = i - 6. Which is the biggest value? (a) q (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.401946938 rounded to 3 decimal places?\nAnswer: 0.402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/24*-2*-4. Suppose b*h = -3*h. Solve 5*r + 18 + 2 = h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.2706196 to 1 decimal place.\nAnswer: 32.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 11004 = -0*x + x, 4*x = 5*q - 27516. Suppose 3*r - 2801 = q. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k*k**0)\/k))**26)**(11\/5) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -68, -262, 203, -1 in ascending order.\nAnswer: -262, -68, -4, -1, 1, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 47 - 47. Let q(z) = -12*z. Give q(x(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 340 + -230. What is the highest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -36. Let a(i) = 7. Let u(z) = -21*a(z) - 4*x(z). Let g(j) = -j**3 + 1. Give -g(q) - u(q).\nAnswer: q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/5)*i**(-2\/45))\/(i**6\/i*i\/(i**2\/i)*i))**38)**(-4\/11) assuming i is positive.\nAnswer: i**(39976\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugug. Give prob of sequence uug.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003062 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 37. Let g(i) = 12*i - 2. Let c be g(-3). Let o = c - -56. What is the smallest common multiple of w and o?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 90577.48 millennia?\nAnswer: 90577480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.01 (b) -2.1 (c) -4 (d) 6 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -13*o - 423. Let q(g) = -34*g - 1058. Let n(m) = 12*k(m) - 5*q(m). Differentiate n(v) wrt v.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20236 and -954.\nAnswer: -19305144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3602.07162s in weeks?\nAnswer: 0.00595580625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -200.5 + 196.5. Sort i, 0, 2\/21, 2\/5.\nAnswer: i, 0, 2\/21, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1)*(-1 + 0 - 2)*(-2*g + 0*g + 0*g) + (10 + 14 + 2)*(-3*g + 11*g - 6*g) to the form t*g + h and give t.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22018815 by 95.\nAnswer: -231777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232 + 232 + 2380*g**2.\nAnswer: 2380*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/287 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 55c - 4a?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70\/19 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(108))\/(-6*((sqrt(6) - (sqrt(6) - sqrt(6)*3)) + sqrt(6))) + -1.\nAnswer: -1 - sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v**2 + 3*v. Let h(g) = 6*g**2 - 2*g. Let u(s) = 3*h(s) + 2*q(s). Let p(l) = 3*l. What is u(p(x))?\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0035271 rounded to five dps?\nAnswer: -0.00353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -1015903.\nAnswer: -304770.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -2*z**3\/3 - 11*z**2\/2 - 11*z + 267. Let i be u(-3). Solve -3*o = -4*o + 4*f + 23, 5*o + i*f = -5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 61207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*m + 141*m - 66*m**3.\nAnswer: -66*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44.4 + 93.1. Let j = 48 - y. Let q = j - -0.4. Which is the biggest value? (a) q (b) 2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 10*m**2 - 3*m + 9. Suppose -5*g + 43 = 22*k - 26*k, -3*k - 27 = -2*g. Is 13 a factor of q(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-18))**(8\/15))**(2\/5) assuming r is positive.\nAnswer: r**(-96\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Solve 3*v**3 - 3*v**4 + 9*v**4 + c - 3*v + 1 - 9*v**2 = 0 for v.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 3986*v + 23766. Give s(6).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293 (base 13) to base 9.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*a - 2*a + 521*a**4 + 10*a**5 - 519*a**4 + 5*a**5)*(-2 + 1 + 0).\nAnswer: -15*a**5 - 2*a**4 + 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 64*z - 58. Let o be k(3). Let a(f) = -o*f + 133*f + 2 - 1 - 8. What is a(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-15)*50\/(-2)*(96624\/(-44))\/(-244)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-288)\/28)\/((-60)\/(-2240)). Let a = 389 + m. Determine o so that o**3 + 0*o + 5\/7*o**4 + 3\/7*o**2 + 0 + 1\/7*o**a = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 1. Suppose -j - 3*j = t + 5, t = -1. Let k(d) = -44*d**3 + 2*d**2 - 32. Let p(v) = j*k(v) - 2*y(v). Differentiate p(q) with respect to q.\nAnswer: 132*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -1, -4, -3, -930 in decreasing order.\nAnswer: 4, 1, -1, -3, -4, -930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**3 + 4*v**2 - 5*v + 8. Let u(d) = d**3 - d + 1. Let a(l) = q(l) - 5*u(l). Let i be a(-4). What is the derivative of -9 + 14 + 9 + j**i wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2*0 + -36386 + 3. Let d = w - -152383. What is d rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvzquhvvzzzzuuzzzyz. What is prob of sequence hzz?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.4 + 4. Let f = 44 + -44.3. Which is the second biggest value? (a) f (b) g (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1765 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s**10\/s)*s*(s*s\/(s**(3\/11)*s)*s)\/s)**(-49\/3) assuming s is positive.\nAnswer: s**(2303\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/16)\/k)\/k*k**9\/k)\/(k**(-1\/7)\/(((k*(k\/((k**(-3\/7)*k*k*k)\/k)*k)\/k)\/k)\/k)) assuming k is positive.\nAnswer: k**(519\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 + 596\/9. Factor 0*r**3 + 2\/9*r**2 - f*r**4 + 0 + 0*r.\nAnswer: -2*r**2*(r - 1)*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1166*g**4 + 219003*g**2 - 1155184719 wrt g.\nAnswer: -4664*g**3 + 438006*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80*u - 147*u**3 - 87*u - 1770*u**3 + 9*u**2 + 316 + 169*u - 870*u**3 wrt u.\nAnswer: -16722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 76.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*r + 57*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 44, 5053 in descending order.\nAnswer: 5053, 44, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**3 - x**2 + x + 1. What is a(2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50985 and 1782?\nAnswer: 917730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28348\/342 + (-16)\/18 + 12.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 55\/4 of a second?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42727 + 84696. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c + 35*c = 18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8667.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11201, -22406, -33599, -44774, -55925, -67046, -78131?\nAnswer: -89174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12 + -0.02. Which is the closest to h? (a) 1 (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -35. Let y = -18.037 - u. Let c = 0.163 - y. Which is greater: c or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2 + 2. Solve -5*p - 5 = -i*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 + 0 = 0. Let d(f) = -f + 12. Let l be d(10). Sort n, l, -1 in increasing order.\nAnswer: -1, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m - m**2 + 2*m**3 + 2*m + 2 + 25 + 8 to z + u*m + h*m**3 + s*m**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 704483141 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754346565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 3)*((4 + 2*a - 4)*(5*a - a - 3*a) + 2*a**2 - 3*a**2 + 0*a**2 - 11 + 11 - 4*a**2 + 4*a - 4*a + 6*a**2) in the form f + k*a**2 + c*a and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**2 - 4*s**2 + 6*s**2 + (2 - 4 + 4)*(0*s**2 - s**2 + 2*s**2) + s**2 - s**2 - s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*j + 45 = -0*j, 25 = u + 5*j. Let t be (9\/12)\/(u\/(-20)). Sort t, -5, -6 in descending order.\nAnswer: t, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102 - -147. Suppose -6*r + r + o = 0. Let v = r + -2. Calculate the smallest common multiple of v and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/14679 + 322900\/278901. Which is the closest to -2? (a) x (b) 0.4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2814 * 5.\nAnswer: -14070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(1\/2 - 1). Let q = s - -11. Let a(t) = 3*t**3 + 5*t. Let i(n) = -2*n**3 - 3*n. Determine q*a(z) + 5*i(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (80\/(-24))\/(1\/(9\/(-6))). Suppose h - 26 = -3*p, g*h - 37 = 3*h - 3*p. Calculate the greatest common divisor of h and 517.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*a - 7 = 0, 2*a - 2 = 2*o + a. Is ((-1)\/o)\/((-6)\/(-1278)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*1*sqrt(162))\/sqrt(3))\/(-5*sqrt(72) + sqrt(12)\/sqrt(384)).\nAnswer: -144*sqrt(3)\/239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 + 117302*d - 234614. Calculate v(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**5\/60 - c**4\/4 + 2*c**3\/3 + 2*c**2. Let j be w(-4). Suppose 22608*m - 22515*m = 0. Solve m*q + 4*q = -j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11633*x - 4463*x + 2536488 = -7316*x - 9000*x for x.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(90)\/sqrt(3))\/sqrt(2))\/(sqrt(48) - (sqrt(48) - sqrt(96)\/(sqrt(2) - (sqrt(32) - sqrt(2))))).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**2 + 1552*h - 9168 = 0 for h.\nAnswer: 6, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 440 - 224 - 215.\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -1\/24*n**4 - 2\/15*n**5 - 1\/6*n**3 + 0*n + 0 + n**2. Suppose -4*f - 3 - 1 = 0. Determine o(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -16*u**3 + 21*u**2 + 11*u. Let n(r) = -8*r**3 + 11*r**2 + 6*r. Let z(g) = -6*b(g) + 11*n(g). Find the third derivative of z(a) wrt a.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Suppose -3*q = 4*x - 21, -s*q = 3*q + 5. Let l(a) = a**2 - 5*a - 7. What is l(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -609*w - 174*w - 3403*w - 2654*w.\nAnswer: -6840*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 687820 and 328440.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-12) + -1)*-3. Is 1*(s + (3 - -75)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 586 = -110. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 11*a**2 + 4*a - 24. Let v be g(11). Suppose 23*y - 54 = v*y. Suppose 0*j + 3*j = y. What is the greatest common factor of j and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-12)\/((-156)\/(-42887))*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1446 and ((-2603550)\/(-11568))\/(-25) - (-13 + 4)?\nAnswer: 5784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qddgggffgdffg. Give prob of picking 3 d.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -631, -649, -679, -721, -775, -841, -919?\nAnswer: -1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m + 22 = z, -4*z + 2*m = -16. Find the common denominator of -47\/2 and 0 - (1 - 65\/z).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 18 - 14. Suppose 9*d = y*d + 5, -5*v = -2*d - 13. Solve -v*x + 10 = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1679907, -1679910, -1679913, -1679916, -1679919, -1679922?\n\"Answer: -3*k - 1679904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77*s**2 - 75 + 129 - 53)*(14 + 9*s - 14).\nAnswer: -693*s**3 + 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -201 greater than or equal to -200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7150, -0.4, -3\/5.\nAnswer: -7150, -3\/5, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 238*j - 1251. Let v be h(124). Let z(u) = -2*u**2 - 26*u - 26. Calculate z(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460*g - 1023*g - 659*g.\nAnswer: -2142*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18954.934 - -0.21?\nAnswer: -18954.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 10:04 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 3*p - 16, 63*d + 19 = 64*d + 2*p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3468, -571, 2326?\nAnswer: 5223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**7\/7 - 5*h**3\/3 + 1. Find the third derivative of g(a) wrt a.\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(i**(-4\/5)*i))\/(i**(-1)\/i) assuming i is positive.\nAnswer: i**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 x when four letters picked without replacement from dxdddddddddxxddd?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 7*w**2 - 5*w - 5. Let t be b(6). Let a(d) be the first derivative of 1\/3*d**3 + 0*d - t - d**2. Factor a(j).\nAnswer: j*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/14 (b) 11 (c) 5 (d) -2\/33 (e) -0.1 (f) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*f. Let w(p) be the third derivative of p**5\/60 + 2*p**3\/3 + p**2. Let t be w(f). Solve 4*x + 4*u + 32 = -0*u, -3*u - t = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b + 2668 = 76. What is the remainder when 1822 is divided by b?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v. Suppose v = -2*g - 2*g + 16. Let c = 8 - g. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*n - c - 12, -3*n + 5*c = 8. Suppose 4*p - 4*a - 400 = 0, 0 = n*p - 0*p - 5*a - 398. List the prime factors of p.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14668 - 179?\nAnswer: 144ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8729*d + 8731*d = 5*j - 2, 1 = -d - 2*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1391, 2.8, -0.4?\nAnswer: -1391","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 12:18 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -18\/11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 11:58 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 33407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -606*d + 601*d - 7*j - 100, -5*d - 120 = 5*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 177841193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - (-106 + -54 + 71).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 0 (c) -3 (d) -3\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165\/(-99)*(40\/660 + (-397)\/7095)?\nAnswer: -1\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 12319.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**3*o*y**3 + 1393*l**3*y**2 + 3*l**2*y**3 - 7141*o*y**3 + 1 with respect to o.\nAnswer: l**3*y**3 - 7141*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13376 is divided by 836?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.75 minus 12875?\nAnswer: -12739.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 + 19*c**2 + 8*c + 24. Give u(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4 + 4*a + 4 - 3 + 0. Let d be n(1). Let o be -6*(-1 + d\/(-3)). Which is bigger: o or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**4 - 951*q**2 + 2*q - 112 wrt q.\nAnswer: -12*q**2 - 1902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3465350 and 660.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/11190 and -47\/510.\nAnswer: 190230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 7. Let v be i(-9). Suppose c = -v + 6. Find the first derivative of -2 + 5*t - c*t - 3*t wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2144 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 3\/4, -71\/3, 0 in increasing order.\nAnswer: -71\/3, 0, 3\/8, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, -21, -114, -233, -372?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-10))\/((-4)\/(-20)). Let q = 6 + -4. Let d = 0.3 + -0.2. Which is the closest to d? (a) q (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 15 = -3*i, 126*i + 16 = -3*h + 133*i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**2 + 3*r**2 - r**2 + r**4 + 2*r**4 - 3*r**3 + 3*r**3 + (3*r**2 - 3*r**2 + 2*r**4)*(1 + 1 + 0) + 11*r**4 - 2*r**4 + 0*r**4.\nAnswer: 16*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04449 to three decimal places.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 26162. Let u(r) = r**2. What is n(u(y))?\nAnswer: y**2 + 26162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196162\/79 - 2483. Let h = x + -3116\/553. What is the common denominator of h and 5\/(-6)*73\/(-5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*2*(19887\/82 - 2). Let u = 481 - a. Let k = 2 + -3. Is u less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -272\/9. What is the second smallest value in j, -3, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 3. Let p = 3 + -3. Let b be d(p). Suppose -b*n + 15 = 2*n. Solve -x = n*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(37 + (-5577)\/156)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 4 + 3\/(-3). Sort h, -2, 42 in ascending order.\nAnswer: -2, h, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64646 divided by 2.\nAnswer: 32323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2910, 41194, 145108, 347466, 681082, 1178770, 1873344, 2797618?\n\"Answer: 5469*f**3 + f**2 - 2*f - 2558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f - 42 = -0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 22*b - 11. Let p be y(-23). Let s be (-34)\/(-30) - p\/90. Solve 2*n = 3*d - s - 6, 3*n + 3 = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p + 19492 = 2*y, -y - p + 9746 = 0. Let s = -5533454811\/567970 - 12566\/16705. Let b = s + y. Find the common denominator of b and -111\/20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-14) - 74\/(-14). Let x(u) = u**2 + 12*u - 4. Let t be x(-13). Suppose t*y - 8*y - 10 = 0. Calculate the highest common factor of y and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212013413 (base 5) to base 4\nAnswer: 3121231111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1864210, 1864206, 1864202?\n\"Answer: -4*w + 1864214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -646.12268 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7\/4 - -3\/2. Suppose -486 = 656*f - 737*f. What is the nearest to -3 in -3, f, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-1)\/2)\/(-2). Suppose -104*q - 94 = 426. Which is the closest to -1? (a) y (b) q (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 4*x**2 - 2*x**2)*(126 - 126 + 10*x).\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17853 a multiple of 582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, v: 2, n: 2, j: 4}. What is prob of picking 1 j and 1 v?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 + -35. Suppose -5*t = 5*j - 6705, -2 - l = -5*t. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7851214 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 294331837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 1741*j**3 + 11 + 650*j**3.\nAnswer: -1091*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*d - 2*d. Let s(r) = 3*r + 4*r - r**2 - 2 + d. Let u be s(6). Solve -3*l + 2*t + u = 6*t, -4*l + 3*t = -2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272828522.\nAnswer: 2, 136414261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 541214 = 5*i - 2179806, 12 = 3*i. What is o rounded to the nearest 10000?\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 - -119 - -91 - (-2 - 27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1. Suppose 2*c + 2*c + 12 = 0. Is (-54 + -3)\/c + s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g - 2*g - g + (-1 - 2 + 5)*(2*g - g - 2*g) + 77*g + 3*g - 33*g to a + r*g and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*n**3 + 2*n**2 + 52.\nAnswer: -45*n**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 4*z + 2*z + 10, -3*z + 5 = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5491760501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -144501 (base 6) in base 13?\nAnswer: -64b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 150 = -h. Suppose 4*o = -d - 4*d + h, 0 = 5*o + 4*d - 33. What is the closest to -2 in o, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, -0.1, -10\/9, 2.2, 0.25, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 163 = 32*c, -2*i = c - i + 8 + 30 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -936, -949, -962, -975, -988?\nAnswer: -1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -154, -308, -462, -616, -770, -924?\n\"Answer: -154*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -123488.\nAnswer: -123484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*v + 5*v + 4*v = -626759. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 150*k**4 - 2*k**3 - 164*k**4 + 369*k**4 to h*k + q*k**3 + l*k**2 + z*k**4 + a and give z.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21144458903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.61 in 67, 5, 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 619721.947 rounded to the nearest 10?\nAnswer: 619720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*b - 171, 2*r = 4*r - 2*b + 162. Let f = 90 + r. Solve -2*i = i - f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/71)*d*d**25\/d)\/(d**8*d*d\/(d\/d**(-2\/5))) assuming d is positive.\nAnswer: d**(5832\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 30 = -3*k, -2*v - 75 - 89 = 18*k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -3*j + 5*r, 0*j - 28 = -2*j + 5*r. Let n = j - 14. Sort 3, n, 2 in ascending order.\nAnswer: n, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - 2*c - 1. Let p(h) = -2*h - 5. Let q be p(-5). Let s(f) = 11*f + 1 + q - 11468*f**2 + 11477*f**2. Calculate -11*o(y) - 2*s(y).\nAnswer: 4*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 18. Let c be k(8). Let h(g) = -2*g**3 - 4*g**2 - g - 5. Let j be h(-3). Let r be 8\/28 - (-24)\/14. Solve r*p + c*p = -j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(11 + 18 + -28).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2)*b*b**(-4\/3))**(2\/37))**(-48) assuming b is positive.\nAnswer: b**(128\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38.4 - -38. Let k = -20 + 18.4. Let d = k + f. What is the smallest value in d, 3\/4, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2\/p)\/p*p**(-1\/37))\/((p**(-1\/7)*p)\/(p\/(p*p*p**21\/p))) assuming p is positive.\nAnswer: p**(-5668\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 14. Let k = 0.02954 + -1.02954. Which is the third smallest value? (a) -1\/5 (b) z (c) k (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4287*u. Let f(q) be the second derivative of -q**3\/3 - 2413*q. What is f(d(z))?\nAnswer: -8574*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h + 4 - 4. Let u(r) = -19*r**2 + 15*r**2 + r**2 + 13*r**2 + r**2 + 2*r. What is u(d(m))?\nAnswer: 44*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1190597 less than -58339245\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w. Let x = -9348 + 9348. Let l(p) be the third derivative of 0*p**4 - 36*p**2 + 0*p - 1\/5*p**5 + 0*p**3 + x. What is d(l(t))?\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 + -3.5. What is the second biggest value in 2\/5, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257*c = -2*r - 260*c - 219, 0 = 5*r + 5*c + 555. What is the fourth smallest value in -3, 3, 12\/11, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - 5\/((-5)\/8). Suppose 5*g - p = 44 + 82, r*g = 4*p + 114. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -120, -125, -132, -141?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-21))\/(33\/((-4851)\/(-6))).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*w**4 - 27*w**4 + 39*w**4)*(4*w + 0*w - 3*w).\nAnswer: -31*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/9 - 52*f\/9 + 46\/3.\nAnswer: 2*(f - 23)*(f - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-6))\/((-3)\/9). Let n = -405 - -411. Suppose -n*l - v*l = -l. Solve -2*t = -10 - l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 7 = -3, 4*w = 2*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**3 + 2*i**3 + 0*i**3 + 3*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-3*(1 + sqrt(612)) - 2*-1*sqrt(612))*-3 - -4*(sqrt(612) + 2*sqrt(612) + 4 + -5)) + 1.\nAnswer: 2 + 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -14, -4, 10, 28, 50?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1334*s + 2683. What is w(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + ((-24)\/56 - (-188)\/14). Does 24 divide 1154\/p + -2*3\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/7 + 2272*d**2\/7 - 645248*d\/7.\nAnswer: -2*d*(d - 568)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44578, 43717, 42282, 40273, 37690?\nAnswer: 34533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 998, 2277, 4068, 6371, 9186, 12513?\nAnswer: 16352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g + 22. Let r be u(4). Suppose -5*v = 8 + 12. Is v\/r + -1 + 18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 415 and 1900?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-595)\/55*1 - -10) + -1 + 2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*a**4 + 78*a**3 + 24*a**2.\nAnswer: -3*a**2*(a - 4)*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -564955120 by 7433620.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*n + a, 5*n - 6*a - 18 = -4*a. Suppose -3*s + n*h = -28, s = 6*s - h - 35. Let r(l) = -l**2 + 7*l - 3. What is r(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -294513 (base 12) to base 14.\nAnswer: -14023d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 131455798, 131455799, 131455800?\n\"Answer: k + 131455797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1329 - 1812 = 9*l. Let a = l - -530. What is the remainder when a is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28391320201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(2)*2*5*-4 - ((1*sqrt(242))**2 - sqrt(288)*-5).\nAnswer: -300*sqrt(2) - 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0259059299 rounded to 4 dps?\nAnswer: 0.0259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, l: 11}. What is prob of sequence lii?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3024.029*-1.55.\nAnswer: -4687.24495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37 times 0.63433?\nAnswer: 0.2347021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 708\/7 + (-1)\/7. Suppose -3*m - b = -2*t, 0*t + 4*t - 175 = -3*m. Suppose -t = 2*s - 3*s. Calculate the remainder when s is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 - 519.5039?\nAnswer: -520.8039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j**2. Let q = -5 - 7. Let o(t) = t**2 + 10*t - 14. Let b be o(q). Let c(k) = -2*k + b*k - 3*k - 4*k. Calculate m(c(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 21\/421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 + 4*a**2 - 11*a - 1. What is r(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 + -0.62. Let o = -154.4 + 152. Which is the biggest value? (a) 0 (b) d (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from haefpeaepp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 170*g*i*z**3 - 2*g*i*z + g*z + 630*i*z**3 - 4*z**3 wrt g?\nAnswer: 170*i*z**3 - 2*i*z + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c. Let t = -5 + 7. Let d(y) = 2*y - 4 - 2*y + y**t. Determine d(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15971 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3 + 4 + 860\/(-12). Let z = n - -70. Solve -z*j - 4 = 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*x**2 + 33*x**2 + 4*x**3 - 18*x**3 - 3*x**5 - 39*x**2 wrt x.\nAnswer: -180*x**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3817 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 2*u**4 - 49\/2*u**2 + 0*u**3 + 0*u - 46. What is the second derivative of i(n) wrt n?\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 8*y + 3. Let d be f(-7). Let c(z) = -z**2 - 5*z. Let m be c(d). Let h = m + -2. Solve h*l = -l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3970 - -77749. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**5\/20 - 319*y**4\/8 - 11342*y**3 - 1224724*y**2 - 4764064*y - 1385. Factor j(q).\nAnswer: -(q + 2)*(q + 212)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 + 4*l + 2. Let a be h(-2). Let b be 2*((-1)\/(-2) + 1). Suppose -4*r + 6 = -b*r. Is a < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66526 is divided by 1210.\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -110.4, -0.073, 5?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + 9. Let n be f\/16 - 6\/(-8). Let t(l) = l**3 - l**2 - 8*l + 7. Is t(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 73\/4 of a year?\nAnswer: 219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + 0 + (5 + 1 + -4*(sqrt(8)\/sqrt(4) + 0))*-1 + 2)**2.\nAnswer: -32*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*z**2 + 22*z**4 + 43*z**2 + (4*z**2 - 3*z**3 - 4*z**2)*(z + 5*z - 5*z) - 3*z**4 + 0*z**4 + 2*z**4.\nAnswer: 18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11196 and 8.\nAnswer: -11188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2389\/4)\/(20\/80). Suppose b = 3*r - 5816. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*k = 53*k + 242. Let r = k - -130. Solve 5*v = 2*v - r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 12. Suppose 0*z + 2*z = g. Solve 7*m - 2*m = -z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 10:42 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 60 = 2*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 8 = 3*g, -2*v + 3 = 3*g - 5*v. Let o(s) = 22*s**3 - s**2 + 1. Calculate the least common multiple of g*(5 - 2)\/(-6) and o(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(203\/(10759\/(-530)))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in -0.52, 4\/5, 42\/5?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6353307 divided by 57237\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 627*d**6 + 20*d**2.\nAnswer: 75240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + -1*sqrt(396)*-3)**2 + 4 - ((sqrt(396) - (sqrt(396) - (sqrt(396) - (-1 + sqrt(396) + 2))))**2 + -1*sqrt(396) + -4)) + 2.\nAnswer: 6*sqrt(11) + 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 3268?\nAnswer: 19608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7 + (3 - 5) + 1191.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -3. Suppose -d + a = -9. Suppose -r = m - 10, 0 = -2*m - m + d. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**3 + j - 1. Let f be r(1). Let g(a) = a**3 + a**2 - 5*a - 2. Let w be g(f). Let d = 6 - w. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n + 3*n + 0*n + 0*n + 2*n - 6*n - 2 + 2 + 2*n - 2 + 2*n + 2 + (1 + 2 - 4)*(-7 - 6*n + 7) in the form k + x*n and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1 (c) 4\/15 (d) 17 (e) -21 (f) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(508\/(-320) - 98\/(-70)). Which is the second smallest value? (a) 2\/9 (b) -5 (c) n (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 s, and 1 j when three letters picked without replacement from dsshsssdjslshd.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/46 + -103\/506. Which is the third biggest value? (a) w (b) -2\/5 (c) 3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27712 + -27714. Let p(o) = 12*o**3 - 3*o**2 - 3*o - 5. Calculate p(r).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2 - 7*m + 1. Let l(f) = 6*f**2 - 7*f + 1. Determine 5*h(n) - 4*l(n).\nAnswer: n**2 - 7*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - t - 2*t)*((0 + 0 - 1)*(-10 + 1 - 1) - 2 + 0 + 5) as p*t + w and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1129, 2263, 3397, 4531, 5665?\n\"Answer: 1134*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 59 + 33*b**2)*(-5 + 5 - 4*b**2) - b**4 - b**2 - 2 + 2.\nAnswer: -133*b**4 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -26, 2, 60, 154, 290, 474?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2552 and 767?\nAnswer: -1957384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4932489234 to the power of 1\/4, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 320*l**2 - l. Let y be m(-2). Let d = 642 - y. Round d to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11997903 at least as big as -11997902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = 2*k, 9*k + 10 = -d + 4*k. Let g be -13 - ((-260)\/13 + 5). Sort d, g, 8 in ascending order.\nAnswer: d, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 - 63 - ((3 + 4 - 3) + 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 43452.\nAnswer: 477972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 5 = g, 3*g + 4*i - 9717 + 9701 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3705 (base 8) in base 10?\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*b - 4*c, c = -11*b + 14*b - 15. Suppose -z - 62 = -b*z - 2*g, 0 = -5*z - 5*g + 80. Calculate the remainder when 69 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1783.37 to the nearest 10.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*h = -2, -d - 22 = 5*h + 7. Let z be (-15)\/2*(-8)\/(-12). Put -1, d, z in descending order.\nAnswer: -1, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 65873319*k + 78795614?\nAnswer: 65873319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7749737*d**4 - 1519*d**5 - 1979*d**2 + 7749737*d**4 wrt d.\nAnswer: -91140*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 0*g**3 + g + 3*g**3.\nAnswer: 3*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/40 + (-54)\/(-10) + (-68)\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.123?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 20. Let d be (-1 - 5\/(-5))\/((-4)\/4). Solve d*o = -x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4503 (base 6) to base 4\nAnswer: -100113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 54318.\nAnswer: 54318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16982 - 175?\nAnswer: -17157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 810 a factor of 309329280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 626161937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 154710299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 1 - 31. Suppose 56 = -5*h + 4*g, -4*h - g - 52 = -6*g. Let k be ((-6)\/(-4))\/((-3)\/h). Solve -s = -k*i - i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101397 times -0.4?\nAnswer: -40558.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 29. Let f = 11 + h. Let a = f + 13.9. What is a rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 16 - 58. Let r(x) = -x**2 + 27*x + 37. Let n be r(29). Let p = d - n. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 13432?\nAnswer: -13423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14802467 and 711.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o - 21. List the prime factors of q(-11).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s + 39. Suppose 2*p = -4*h - 28, -p + 5*h + s = 2*p. What is the biggest value in -5, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -148, 3\/4, -3\/2, -62?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**4 - 57*g**3 - 6384*g**2 + 160140*g + 166464 = 0.\nAnswer: -48, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 4. Calculate the remainder when (-50)\/40 + 29\/4 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -141 + 0?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -1432533?\nAnswer: 1432524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 + l**2 - 14*l - 20. Determine p(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -2 - (-28 + (-42 - -35) + 22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126.53 - -0.47. Let g = p - 126.9. Put g, 5, -22, 3 in decreasing order.\nAnswer: 5, 3, g, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 11*o - 30. Let k be j(-10). Let w be (6\/4)\/((-15)\/k). Solve -w*z = 4, 5*l - z = -4*z - 23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 183 + -68. Let l = -3 + x. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*v - 3*v. What is the first derivative of v*q**3 - 1 - 44*q**2 + 44*q**2 wrt q?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195089 by 1872.\nAnswer: -195089\/1872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2862\/(-47223))\/((8\/9)\/(-4))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216132.\nAnswer: 2, 3, 7, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((3225\/(-135))\/(-43))\/((-4)\/6)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 30*y - 16*y - 4*y**3)*(y + 0*y + 0*y).\nAnswer: -4*y**4 + 11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 3:52 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12144149539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 388 = -3*i. Let u be i\/(-80) - 3\/8. Factor 3\/2*p + 1\/2*p**2 + u.\nAnswer: (p + 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 44, -0.7, 5 in ascending order.\nAnswer: -0.7, 1\/3, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 158234 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(-2 + 4 - 3)*(4*q - 4*q - 2*q + (-1 - 1 + 5)*(2*q - q + q))*(-1 - 3 + 2).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 3*f + 18, 45 = -18*k + 23*k + 7*f for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(68) + -1*sqrt(68)) - 1*sqrt(68)*2)\/(((sqrt(144)\/sqrt(4))\/sqrt(9) + sqrt(4))*-5).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16912073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0.9. Let o = -1.011 - t. Round o to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 21 = 4*v - 4*t, 7 = v - 4*t. Let b = v - 3. Suppose -2*k - 2 = -b*r, 0 = r - 3*r - 5*k + 19. Solve -r*j + 12 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.53 and -4?\nAnswer: -78.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00211437 rounded to 4 decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1 - (35 + -31).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99407 divided by -1.\nAnswer: 99407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*t = -4*u + 28, 2*u = 4*t + 2. Let j(d) = d**2 - 5*d - 1. Let q be j(u). What is the units digit of (q\/(-2))\/(3 + (-355)\/120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -456.3 - -7633307970?\nAnswer: 7633307513.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -31. Let z = 0.5 - 1. What is the closest to 0 in t, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**6\/12 + g**5\/10 - 2*g**3\/3 - 962*g**2. Let y(q) = q**3 + q**2 - 1. Give s(m) - 6*y(m).\nAnswer: 4*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-6 - -7 - 5) - 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16098 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (298\/21)\/((-28)\/(-21)). Let i = -8\/7 + p. Find the common denominator of (81\/18)\/(2\/3) and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -704 (base 13) in base 15?\nAnswer: -542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-9) + 64\/36. Suppose b + 3*b - 150 = t*u, 3*b - 117 = -3*u. Calculate the remainder when b is divided by (-4)\/(-6) + 37\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.478001ns to microseconds.\nAnswer: 0.008478001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266, 223, 116, -85, -410, -889, -1552, -2429?\nAnswer: -3550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 444349, 444404, 444493, 444616, 444773, 444964, 445189?\nAnswer: 445448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*j*l**3*r + 812*j*l**3 + 2*j*l**2 + 11*l**3*r wrt r?\nAnswer: -10*j*l**3 + 11*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1557 = -5*p, 69*b - p = 66*b + 1163. List the prime factors of b.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/(-11))\/((-2)\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 28*s**2 - 38*s + 37. List the prime factors of r(26).\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 5, -1\/7, 4426?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcc when three letters picked without replacement from lcclltltlxjc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83904222.\nAnswer: 2, 3, 13984037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36168 - 19005. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(-12)\/(-42)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1187*b + 1739 + 1323 + 343 = -156 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/5 - 1304*y**2\/5 + y\/5 + 1304\/5.\nAnswer: -(y - 1)*(y + 1)*(y + 1304)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 884 = -0*t + 3*k, 4*t + 5*k - 3536 = 0. Is 16 a factor of t\/28 - 6\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 125 + 210 = 0. Differentiate -9 - 53*h**3 + 0 + w*h**3 with respect to h.\nAnswer: 42*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 3 (b) -2\/5 (c) 8.596\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 852 and 7516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**5 - 2*s**5 + 0*s**5 + (-2*s - 2*s**4 + 2*s)*(2*s + 3*s - 2*s) + 3*s**5 - s**5 - s**5 + (s**2 + 2*s**5 - s**2)*(1 - 1 - 1).\nAnswer: -5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -4 (c) 2 (d) -1\/7 (e) -8000\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431 + 1437 = -144*m - 1876 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -150 and -3.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18938320 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*w - 4. Suppose 0 = 13*i - 14 - 12. Calculate the highest common divisor of w and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184726811 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1915*j*z + 712*j - 2*z wrt z?\nAnswer: -1915*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -14 - 10 - j**2 - 2 - 15*j. Let o be p(-14). Let z be (-1 + o\/(-14))*22. Which is smaller: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4\/5 - 31*w**3\/5 - 196*w**2\/5 - 276*w\/5 = 0.\nAnswer: -23, -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - 2*r**3 - r**4 - r**2 + (2*r - 2*r - 3*r)*(-3*r**3 + 3*r - 3*r).\nAnswer: 8*r**4 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1999768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 4*w = p + 12, 4*w - 6 = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4526450 rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 7. Let r(u) = -8*u - 5 - 2 + 4*u + h*u. Let w(l) = -2*l - 4. Determine -6*r(x) + 11*w(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53.8 - 44. Let w = i - 12. Let r = w - -0.5. What is r rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138975631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002465 rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -124141*j**2*q**3 - 602*j**2*q**2 + j*q**2 - 2*j*q - 58*j wrt q.\nAnswer: -744846*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 483 - 2416\/5. Let c(o) = -12*o**2 + 1. Let p be c(-1). Let s = 12 + p. Is u at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -90, -0.8, -4, 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 15*y**2 + 13*y + 16. Let o = 22 + -8. Let z be k(o). Solve 5*w + 2*n - 5 = 0, z*w - n = -0 + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*c**2 + 57*c**2 - 110*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 4:51 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 4, 11, 2.2, -4\/7, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k + 13. Let j(u) = 2*u + 9. Let c(q) = -7*j(q) + 5*v(q). Let w = 19788 - 19799. Calculate c(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7077.\nAnswer: 3, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.51*-22.\nAnswer: -143.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 438 - 1270 + 415 + 414 - 3*u**2 - 15*u**2.\nAnswer: -16*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2929651.8 + -4.\nAnswer: -2929655.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16, 0.1, 36, -2\/17, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 12. Differentiate -5*y - 12 + g + 3 wrt y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.088 + 70.088. Let j = 70.198 - z. Let x = j - 0.107. Round x to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/((-4)\/(-8)*(-6)\/(-54)). Calculate the remainder when 198 is divided by 122\/3 + (-72)\/o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -5*p**4\/12 + 5*p**3\/6 - 10*p - 2. Factor m(q).\nAnswer: -5*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**4)**(-8\/5))**44*(u*u**(-1\/2)*u)**(-14)*(u**(1\/2)*u)**43 assuming u is positive.\nAnswer: u**(-2381\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 2:46 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 43*z - 88. Let b be f(45). Solve 11 = 4*p - 5*m + 2*m, 3*p - 4 = -b*m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 18. Let w(b) = -20*b - 556. Let x(s) = -13*s - 357. Let l(f) = 7*w(f) - 11*x(f). Calculate 4*l(h) + 7*o(h).\nAnswer: -2*h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 19*k**2 - 79*k - 10. Let v be y(-13). Suppose -6*h + v*h = -3*i + 3183, -5*i - h = -5275. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00804923 to 5 decimal places.\nAnswer: 0.00805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38318?\nAnswer: 2, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 822 + -426. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2336487.\nAnswer: 3, 19, 179, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023036719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*q - 340 = 204*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 206*p - 2197. Calculate c(10).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32116614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1883 - -0.3?\nAnswer: 1883.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 s when four letters picked without replacement from {y: 3, n: 1, f: 1, s: 4, l: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 6*t + 6. Let h be u(5). Let n = -11 - -27. Calculate the smallest common multiple of h\/(-4) - (-24)\/n and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 - -67. Suppose -4*m - j + 1948 = 0, -m + w*j + 487 = -0*m. Suppose 5 = -3*y + 2, -4*y - m = -3*f. List the prime factors of f.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 j when four letters picked without replacement from {n: 2, q: 4, j: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*l + 3126, 5*l - 12*f = -7*f + 7830. What are the prime factors of l?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.107 - 0.205. Let l = -0.035 - q. What is l rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -118b7eb + 2?\nAnswer: -118b7e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184391350, 184391352, 184391354, 184391356?\nAnswer: 184391358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 148 = 2*l. Suppose j + l = -10. Let m = j - -82. What is the remainder when 137 is divided by m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489148 is divided by 25714.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20118432, -20118426, -20118420?\nAnswer: -20118414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84251 = 6*s - 29263. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18216585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52 - -16?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -g + 5*g + 6, -4*g + 5*w = -6. Put 1, g, 1\/5 in increasing order.\nAnswer: g, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 17*v**2 - 4*v - 23. Let b(t) = -t**2 + t - 3. Let n(i) = 3*b(i) - f(i). Let d be n(-7). Calculate the greatest common factor of 22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 19*z**2 - 21*z + 60. Let p be n(18). Suppose -s + 9 = -5*m, -3*m = -p*s + 8*s - 31. Solve -5*a = -4*b + b + 31, 2*a + s = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551752 is divided by 880?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 58\/18 - (35\/(-45) + 1). Solve -u*n = 3*f - 3, -3*f + 7 + 10 = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43475309 is divided by 1244?\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -985 divided by 133401.\nAnswer: -985\/133401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23719?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, 2, -2, -4, -4, -2?\n\"Answer: b**2 - 9*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3158*v**2\/5 + 28426*v\/5 - 36\/5.\nAnswer: -2*(v - 9)*(1579*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -400*l - 2406. Give k(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, o: 3, z: 6, k: 2, v: 6}. What is prob of picking 1 o and 1 z?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3 (b) -4\/3 (c) -3 (d) 0.4 (e) -85.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.69 + 0.01. Let n = b - -0.3. What is the smallest value in -2\/5, n, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 9. Suppose 0 = -3*q - 3*m - 15 - 12, 3*m = 0. Let c be f(q). Solve 0 = g - c*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1210, -0.5, -77\/6.\nAnswer: -77\/6, -0.5, 13, 1210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.051.\nAnswer: 0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1178 - 1172. Sort 2, j, -15, -4 in decreasing order.\nAnswer: j, 2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1501, -18, -16 in increasing order.\nAnswer: -1501, -18, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1518*o**2 - 156933*o - 18630 = 0.\nAnswer: -30\/253, 207\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -28*a - 40. Let v = -3996 + 3994. Give p(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2138 (base 10) to base 4.\nAnswer: 201122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f - 10 = -v, 0 = 2*f + 2*v - 12. Let r be (-46)\/(-14) - 4\/14. Solve y - f*y - r = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5\/4, 1\/66 in decreasing order.\nAnswer: 5\/4, 1\/66, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11.8, 5\/3, 4\/5, 65, 4, 2?\nAnswer: 11.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15137?\nAnswer: 15137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y - f, 26*y + f = 21*y + 18. Suppose -2*r = 3*x - 0*r - 28, y*r = 5*x - 76. What is the greatest common divisor of 18 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 6.8 (b) 3 (c) -2.9 (d) -2192 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 676544 and 84568.\nAnswer: 676544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**4 + h**4 - 4*h**4)*(-h + 2 - 2) + 2*h**5 - 2*h**5 - h**5 + 6*h**5 + 4*h**4 - 4*h**4.\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 1, k: 1, u: 1, b: 1, g: 2}. What is prob of picking 1 b, 1 p, and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**6\/120 + i**5\/12 + i**4\/12 + i**3 + 649*i**2. What is z(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 1. Let n = -51 + 253\/5. Let q = 0.1 + -0.6. What is the third biggest value in o, q, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = l - 5*l + 20, 4*y - l = 29. Suppose 0 = -6*f + 3*f + 4*g + 4, 3*f = -3*g - 3. Suppose 5*m = -5*k, f = -k - 0*k - 5*m - y. Solve -4 - k = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5 - 3)*(-103*x - 28 - 108*x + 313*x - 101*x) in the form l*x + a and give a.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 855 - 235 = -272*u - 196. Which is the closest to 0? (a) u (b) -0.5 (c) 203\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 362 + 2?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (245 - 88 + 124)*(-1 - 4 + 3)*(-2*p - 4*p + 0*p).\nAnswer: 3372*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/53469885 and 56\/3?\nAnswer: 53469885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/5 of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**5\/2 + 49113*r**4\/2 + 196475*r**3\/2 - 343809*r**2\/2 - 245585*r = 0.\nAnswer: -5, -1, 0, 2, 49117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/65*1\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 89740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(3*(sqrt(16) + sqrt(4))).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 61. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -1\/10 (c) 0.5 (d) -2\/13 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*g + w, -w = -2*g. Let v(f) be the first derivative of g*f - f - 3*f**3 + 4*f**3 - 5. Differentiate v(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/5)*p**(2\/11))\/(p**(2\/5))**(5\/3))\/((p**(2\/5)*p*p*p*p*p**(-3\/8))\/((p\/(p**(-6)\/p*p))\/p*p**(-2))) assuming p is positive.\nAnswer: p**(119\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69.9574712133 - -0.0425193867. Let o = s + -70. Round o to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/210 and 227\/18480.\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 917*w + 90787. Give i(-99).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5791, -23175, -52157, -92737, -144915, -208691?\n\"Answer: -5799*p**2 + 13*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 4*r + 4, s + 1015*r - 1016*r = 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**4\/4 + 2*t**3\/3 - 3*t**2\/2 + 2*t - 28. Let m(q) = q**2 - q + 1. Calculate 2*j(a) - 4*m(a).\nAnswer: -2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 2, k: 1, m: 1}. Give prob of sequence mk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1792\/512)\/(35*1).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h\/h**(-1\/4)*h)\/h)*h\/h**5*(((h*h\/(h\/(h**(1\/6)*h)))\/h)\/h)\/h*h*h**(2\/9))**(-15) assuming h is positive.\nAnswer: h**(515\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1191, -1251, -1291, -1305, -1287?\nAnswer: -1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, m: 1, a: 14}. Give prob of sequence ma.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t - h + 39 = 0, 0 = -t + 5*h + 13. Differentiate i**4 + 2 - t*i**3 + 13*i**3 wrt i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 485140 and 4380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 79945, 159796, 239557, 319228, 398809, 478300, 557701?\n\"Answer: -45*c**2 + 79986*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1451, 2847, 4217, 5549, 6831?\n\"Answer: -2*x**3 - x**2 + 1413*x + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 1:25 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2450*s + 3*s**3 - 1332*s + 4 - 1107*s - 29*s**2 to w*s**2 + b + h*s**3 + x*s and give w.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/2 + 7365*i - 54243225\/2 = 0. What is i?\nAnswer: 7365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (8\/28)\/(2\/(14\/5))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 13. Suppose 2*v = -0*t + 4*t + 4, -4*t + 38 = 5*v. Let o be (-68)\/v + 4\/12. Let x be g(o). Solve -x*q = -3*q + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 - (1 - (4 - 0)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 627*u - 535*u - 920 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5985 and 319?\nAnswer: 319.5985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219108 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -567*k**2*w**2 + 10586*k**2*w + 2654*k*w**2 - 2*k*w - 2*w**2 - 679*w - 1 wrt k.\nAnswer: -1134*w**2 + 21172*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 19151.36 millilitres?\nAnswer: 19.15136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022 (base 8) to base 12.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*o**4 + 66489*o**2 + 2829811*o + 1.\nAnswer: 360*o**2 + 132978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-51*o + 71*o + 23*o)*(0*o - 2*o + 0*o).\nAnswer: 172*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:50 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -98565*u + 492823. Determine w(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43872*j - 1170508 wrt j.\nAnswer: -43872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - 8*i**3 - 88*i + 88*i - 2*i**3.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*m**4*w**2 - 5162*m**3*w**3 + m - 3*w**3 - 38613*w**2 wrt m.\nAnswer: 180*m**2*w**2 - 30972*m*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -25706, 3, -2 in descending order.\nAnswer: 3, -2, -4, -25706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3301738?\nAnswer: 2, 11, 223, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1247 and -1173 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 20, 4\/7, 0.64?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/6 + 61*q**2 - 11163*q\/2.\nAnswer: -q*(q - 183)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/45)\/(5\/(-15)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxe when three letters picked without replacement from {e: 6, z: 8, x: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3833 (b) 7 (c) -11 (d) 3 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c**3 - 2312*c**2 + 1380*c = 0.\nAnswer: 0, 3\/5, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33911, 67901, 101891, 135881, 169871?\nAnswer: 203861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r\/(r\/(r*r*r*r**(-3\/5)))))*r)**24 assuming r is positive.\nAnswer: r**(528\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.895704118 - -294\nAnswer: 295.895704118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53579*l**3 - 6*l - 212641 wrt l?\nAnswer: 160737*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2320097\nAnswer: -3\/2320097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3364489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27470 and 560388.\nAnswer: 2801940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, -6, -33.\nAnswer: -33, -8, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -7. Let r = 6 + b. Which is bigger: -0.4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 13*x**2 + 1223*x + 91. Calculate q(-94).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/47))\/((f\/(f**23*f))\/f))\/(f\/f**(-1\/13))**13 assuming f is positive.\nAnswer: f**(519\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 47*y**2 + 45*y + 527. What is the thousands digit of n(-45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*i + 4 = 0, -p + 3*p = 4*i. Suppose -p*j + 1 = -x + 40, 42 = -4*j - 2*x. Sort 4, j, -2, -7 in decreasing order.\nAnswer: 4, -2, -7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1026329260 to the nearest one hundred thousand.\nAnswer: 1026300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72696 and 89472?\nAnswer: 1163136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000950381 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22331134 rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4542754 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -10*j**3\/7 - 242*j**2 - 68692*j\/7 - 116400 = 0.\nAnswer: -582\/5, -28, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + l + 25 = -20, 3*l = -15. Calculate the lowest common multiple of 22 and y.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*q - 25711 = c, -5*c = -5*q + 32135. Let k = 32013\/5 + c. Sort -1, k, 1\/2.\nAnswer: k, -1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8200 = 82*x + 82*x. Let g be (-2)\/(-4) - (-1398)\/4. Calculate the greatest common divisor of g and x.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 311610, 311612, 311614, 311616, 311618?\n\"Answer: 2*c + 311608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24370617 and -0.0528?\nAnswer: 24370616.9472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*y + 1087 - 271 = -1116. Solve 57 = y*m + 45 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.0483*0.4.\nAnswer: -12.41932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -34. Let x = 5 - b. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 618 and 15?\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46 - (-3475)\/75)\/((-1)\/51).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 - 2*t**2 + 3*t**2 + t**3 + 1 + t. Let f be q(-2). Let v(y) = 4*y + f - 4*y - y - y**2 + 2*y**2. Calculate v(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, l: 2}. What is prob of sequence dlld?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 7*l - 2. Let b be o(6). Determine p so that 25*p**2 - 10*p**4 - 3*p**4 + p**b + 10*p + 2*p**4 + 5*p**3 = 0.\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30434 (base 5) to base 11\nAnswer: -1553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3441873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-9)\/162 + 10\/30?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -246, -253, -256, -255?\n\"Answer: 2*b**2 - 13*b - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 45898*w - 45900*w = -30, 3*n + 14 = 2*w for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/502044*535)\/(5\/(-54))?\nAnswer: -18\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/676 and 43\/364?\nAnswer: 4732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*d = 120*d + 39. Let j = d + -37. Solve 0 = -q - 0*q - j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.42 - -6.12. What is the fourth biggest value in -2, -1\/7, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-8\/3)\/k)\/(k*k*k*k**(1\/24)*k))\/(k*k**(-3\/2)*k**(2\/43)*k) assuming k is positive.\nAnswer: k**(-8519\/1032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4664, 4680, 4696, 4712?\n\"Answer: 16*b + 4648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*v + 69 - 135 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/64488 and -17\/9?\nAnswer: 193464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 <= 1034\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - 2458?\nAnswer: -244c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3. Suppose 0 = 4*q + 4*j - 32, 4*q - 25 = -5*j + 4. Let k = q - 4. Solve -4*s - 5 - k = z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - u**2)*(4*u**3 - 2*u**3 - u**3) - 7*u**5 + 5 - 5 + (3*u**2 - 3*u**2 - 2*u**4)*(u + 0 + 0) - 4 - u**5 + 4.\nAnswer: -11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**3 + 14625*b**2 - 23660649*b + 12694902603 = 0. What is b?\nAnswer: 1409, 1733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2177 divide 71014484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 5:19 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(2\/45)\/l)\/l**16 assuming l is positive.\nAnswer: l**(-673\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3\/8, 3\/5, -1\/3 in ascending order.\nAnswer: -3\/8, -1\/3, 0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 279875 and 40380?\nAnswer: 2260270500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/(-12))\/((-1608)\/1474 + (-1197)\/(-1188))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9b0c (base 15) to base 4\nAnswer: 20001132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -93493, -93499, -93507, -93517, -93529?\n\"Answer: -o**2 - 3*o - 93489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 422 - 4?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 10:16 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 4*v - 2. Let d(w) = 3*w**2 + 11*w + 6. What is -3*d(a) - 8*r(a)?\nAnswer: -a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 103 from 7.51369.\nAnswer: -95.48631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -87604087.86 to the nearest 10000.\nAnswer: -87600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 4*z**2 + 3*z + 3. Suppose -v + 5 + 3 = 0. Let o be (v\/(-10))\/((-8)\/(-20)). Let t be x(o). Solve -t*h - 5*n + 20 = 0, 4 = -h - n + 2*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 30850*r + 740413. Calculate s(-24).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887858287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 139, 265, 399, 541, 691, 849?\n\"Answer: 4*z**2 + 114*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4617)*1 + sqrt(57)*1*2)\/(sqrt(18)\/(sqrt(6) - (sqrt(6) + sqrt(6) + sqrt(12)\/sqrt(2)))*-5).\nAnswer: 22*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002159064 to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*o - 90 = 3*g, -5*g + 4*o - 120 = 0. Let w = 9 - g. What is w rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003366 rounded to 5 dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 789 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/6 - 8*u**3\/3 + 17*u**2\/6 = 0 for u.\nAnswer: -17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 - 21*p - 27. Let t be h(-5). Solve -t*i + 9*j - 4 = 5*j, -3*j + 3 = -4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r = -23*r - 252. Let w be (-8)\/((-48)\/r)*(-8)\/14. Put 3, w, -11 in increasing order.\nAnswer: -11, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1061466*c - 1037739.\nAnswer: 1061466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**3 - 3*l**2 + 8*l - 4. Let u be g(1). Solve u = 7*n - n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/((-45)\/(-10) - 4). Let b = 247\/4 + k. Suppose 0 + b*u**3 - u**4 - 1\/2*u**2 - 1\/4*u = 0. What is u?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + a - 23 = 0, -q + 5 = -a - 4. Calculate the remainder when 18 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13782127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) -0.16 (b) 9 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -16*b. Suppose -6*v + 2*v + 4 = 2*n, 2*n - 4*v - 4 = 0. Let o(s) = 11296 + s**2 - 11296 - n*s**2. Give o(i(r)).\nAnswer: -256*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -2*y + 366*u - 363*u, -u + 1 = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 116589740174731 - 0.5.\nAnswer: 116589740174730.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (26\/4)\/(1\/4). Suppose 4*q + v = -s + 3*s, -5*q = -3*s + 35. Solve -b - s = -0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 2620*d + 25700.\nAnswer: 5*(d - 514)*(d - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5276)\/6)\/(-2) - 8\/12. Let r = 425 - y. Let l(d) = d**2 + 13*d - 11. Give l(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 146, -7 in descending order.\nAnswer: 146, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k - 4*k**3)*(0 + 0 - k) + 0*k**4 + 4*k**3 + 5*k**4 - 3*k**4.\nAnswer: 6*k**4 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -2497 and -2497 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -83900 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 7*b - 5. Let h = -13 + 7. What is the units digit of u(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - w + 0*w)*(3 + 5 - 4)*(0 + 1 + 1) as x*w + o and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 10. Let g be a(6). Suppose 0 = 3*p - p. Suppose y = -p - 1. Sort 0, y, g in descending order.\nAnswer: g, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 13395*n**2 - 8964600*n + 8978000.\nAnswer: -5*(n - 1)*(n + 1340)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h. Let f(p) = 13*p**2 - 29*p**2 + 19*p**2. Give n(f(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b - 1. Let y be p(-4). Let k = y - 23. Suppose k = 2*s + 2*s - 44. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*c - 18 = 3, 0 = 3*c - 15. Let z be (5\/15)\/(s\/(-18)). Suppose 4*p - 2*p - z = 0. What is the highest common divisor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 y when three letters picked without replacement from {y: 1, i: 5, r: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - c + 20, 4*o + 5*c = 3*c + 16. Solve 3*f + 26 = o*t, -3*f + 14 = t + 3*t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 20 = 2*o, 2*o - 2*h = -0 - 16. Put -5, 1, o in increasing order.\nAnswer: o, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -42*k. Let h(w) = -2780 - w + 2780. What is t(h(p))?\nAnswer: 42*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 19*w**2 + 8*w + 21. Is q(-25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 15 = -1. Let z(w) = w + 10. Let q be z(-7). What is the second smallest value in q, v, -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 6)*(-4)\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1.3. Let u = 1.99 - -0.01. Which is the second smallest value? (a) -3 (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 13, o: 5}. Give prob of sequence oj.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 63*r - 189. Let z(y) = 47*y - 191. Calculate 3*g(s) - 4*z(s).\nAnswer: s + 197","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 g, and 1 k when four letters picked without replacement from kzzzggzzbzkzbzqbggz?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00082397096 to five dps.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 17*k. Let p be u(1). Find the second derivative of -4*n**2 + p - 17 - n wrt n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 - 309*g\/5 - 1188\/5.\nAnswer: -3*(g + 4)*(g + 99)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 10:33 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*x + 2*z, -5*x + 2*x - 4*z + 9 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 67 = -3*b, -5*b - 27 = -4*b + 3*n. Let s = 10 - 21. Let r = s - b. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*x - 706 = 4*x, -4*i + 2784 = -4*x. What is the remainder when i is divided by (-51)\/(-2) + 16\/32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001318507276 rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, c: 2, e: 3, r: 8}. What is prob of picking 4 r?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 2174?\nAnswer: 2173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*o = -164, 2*o = d - 0*d - 36. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56.4 - 58.6. Which is the closest to 1? (a) s (b) -0.4 (c) -0.047\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**3 - 2*v**3 - v**3 + (-4*v + v + 4*v)*(2*v**2 + 0*v + 0*v) + (3*v - 3*v - 2*v**2)*(3*v - 2*v + v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4766, -5111, -5456, -5801?\nAnswer: -6146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f**3 + 3. Let x(d) = -655*d**3 + 223*d**3 + 219*d**3 + 0 + 220*d**3 + 2. Let u be ((-20)\/(-50))\/(1\/(-5)). Calculate u*m(w) + 3*x(w).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 1. Calculate the least common multiple of 8 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5153537 and 25767685?\nAnswer: 25767685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1649 and -13.4?\nAnswer: -22096.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -739646 > -739682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4142, -0.3, 3, 8, 5\/3 in descending order.\nAnswer: 8, 3, 5\/3, -0.3, -4142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.42 - -0.42. Let k = v + 18.07. Suppose -i + 2*w = 2*i + 4, 0 = -2*w + 10. Which is the second biggest value? (a) k (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485671522.\nAnswer: 2, 7, 34690823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960178796?\nAnswer: 2, 61, 997, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*u + 3125 - 1104 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 3:26 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -edd + 9?\nAnswer: -ed4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*y**2 + y**2 + 3*y**2 in the form u + j*y + w*y**2 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/2 - (92\/(-23) + 2). Let f(b) be the third derivative of -8\/3*b**3 + 0 + 10*b**2 + 0*b - 1\/8*b**c. What is the derivative of f(p) wrt p?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -19, 1, -29 in decreasing order.\nAnswer: 1, -3, -19, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 278187 or 278186?\nAnswer: 278186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25.3 - -24. Let v = -125.9622 - -124.6622014. Let s = v - n. Round s to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -63*n**2 + 5*n + 12. Let d be w(5). Let g = -281 - d. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -67*o - 14. What is the hundreds digit of p(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaauauuaua. Give prob of sequence uuu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(3 + (-39)\/15). Suppose i + 20 = 5*k, 5*i = -4*k - j + 26. Suppose i = -f - 0*f + 4*s + 15, 4*s = 0. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874354?\nAnswer: 2, 13, 33629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183262 is divided by 1553?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 1. Let h(y) = y**3 + 24*y**2 - 2*y - 51. Let o be h(-24). Let g(q) = -4*q + 5. Give o*u(f) - g(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 10011001000111?\nAnswer: 10011001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(441))\/sqrt(432) + 5.\nAnswer: -7*sqrt(3)\/12 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 3:07 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -3*s - 516970, 23*s - 9 = 24*s. What is the ten thousands digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*r - 3*d - 0, -5*r + 26 = -3*d. Let x = r + -5. What is the lowest common multiple of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677*z + 57953 = -254*z + 23506 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r**3 + 8*r**3 + 6*r**3 + (-2*r + r**2 + 2*r)*(-r + 2*r - 2*r).\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + (sqrt(325) - (1 + sqrt(325))) + -5 + 5*(sqrt(325) + sqrt(325) + 4 + sqrt(325)*1)*1)**2*-1.\nAnswer: -73321 - 2100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0432 bigger than -229\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 137.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.00205 - 0.40205. Let y be (-8)\/(-3) - (-5 + 6). Let t = -2.3 + -0.7. Which is the biggest value? (a) r (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62906559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trebiigb. Give prob of picking 1 e and 1 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - f - 1. Let h(c) = -7*c**2 + 4*c + 7. Give 5*g(o) + h(o).\nAnswer: -2*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**3\/11 + 5398856*z**2\/11 - 331222760430*z - 7286922324900\/11 = 0.\nAnswer: -2, 1349715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8658733 (base 10) to base 2.\nAnswer: 100001000001111100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1413655948?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -390 + 389.7. What is the closest to 1\/2 in o, -5, -7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 171 = -c, -170 = -3*v + 2*v + 2*c. Let g = -98 + v. What are the prime factors of g?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1794 divide 4189775772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(0\/1 + 2). Let g be (4 - v)*33\/(-2). Let r = g - -329\/5. What is the nearest to -0.2 in 1, r, 2\/19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -221684717 and -25724.\nAnswer: -221710441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 202, 333, 528, 793, 1134, 1557?\nAnswer: 2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 5736*o - 22976.\nAnswer: 2*(o - 4)*(o + 2872)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54 + 28 + 50)*(3*o**4 - o**4 - 4*o**4) - 3*o**4 - o**4 + 3*o**4 to d*o**3 + n*o + l*o**2 + c + g*o**4 and give g.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/32 - 105\/560\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 - 711\/8. Let u(z) be the second derivative of -z + 1\/2*z**2 - 1\/40*z**5 + m*z**4 + 5\/12*z**3 + 0 - 1\/60*z**6. Factor u(i).\nAnswer: -(i - 2)*(i + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0625 - -248.0625. Let y = q + -242.82. What is y rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -0.16.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-1)*(-94)\/141. Does 17 divide 2855\/o + 51\/306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z + 2*a - 4, -3*a = -4*z + 16. Suppose -2*r = -5*q - 8, -r + q - 4*q + 4 = 0. Find the second derivative of 5*u**z - 2*u + 14*u + 9*u**r wrt u.\nAnswer: 168*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = w + 7*a, 2055 - 2091 = -4*w + 16*a for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-175)\/(-210))\/((-3)\/(-2))*(-6)\/(-2).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15480773 to the nearest integer?\nAnswer: 3935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*i - 39. Suppose 20*m + i = 30*m. Let v(c) = -3*c**3 + 3*c**2 + 2*c + 3. Let x(y) = -7*y**3 + 6*y**2 + 5*y + 7. Give m*x(q) - 5*v(q).\nAnswer: q**3 - 3*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from {y: 1, f: 1, m: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 48. What is a(-20)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*p + 47 = 2*p, o + 3*p + 17 = 0. Let k be (-6)\/(-20) + o\/22. Which is the third smallest value? (a) k (b) 0 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22463, 22450, 22433, 22412?\nAnswer: 22387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = f - 13, -5*a + 9 - 34 = -f. Does 11 divide 230\/8 + f\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32523.\nAnswer: 3, 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2. Let b be 6\/((-1 - 1) + 4). Let j(d) = d - 1. Let o(n) = -n**2 + n - 1. Let h(m) = b*o(m) - 3*j(m). Calculate f(h(t)).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*g**4 + 10*g**4 + 7*g**4)*(0 + 16 + 15 + 5) to h*g**3 + u*g + m + d*g**4 + b*g**2 and give d.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30137580 a multiple of 2790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**9\/j**4)**40)**8 assuming j is positive.\nAnswer: j**1600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eet when three letters picked without replacement from ttttytttyttette.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 84901, 169460, 254017, 338572, 423125?\n\"Answer: -a**2 + 84562*a + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175684 and 10528348.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 330 by 8.\nAnswer: 165\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 20*u = 24*u - 1879225, -4*u = -5*h + 3132063. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-7))\/((-3906)\/49476)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60706749?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, 479, 700, 911?\nAnswer: 1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4259, 3584, 2909, 2234, 1559, 884?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*h*t**4 - 2*h*t**2 + 2*h + 2*t**3 + 2*t + 13 wrt t.\nAnswer: 252*h*t**2 - 4*h + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + (((sqrt(288) - (sqrt(288) - (-1 + -2*sqrt(288)))) + sqrt(288) + 1 + 2)*-6)**2).\nAnswer: -10368*sqrt(2) + 63096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2774*i + 52 + 2781*i - 5551*i.\nAnswer: 4*i + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 41592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2341 (base 8) to base 2\nAnswer: 10011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 179 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 12. Let s be r\/(5 + -2 + -5). Let y**3 - 12*y + s*y**2 - 3*y**4 - 4*y**3 + 15*y = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -u - 1044 - 2569, -2*u = -3*g + 2165. What is g rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 6:52 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/29 in 1\/5, 3, -2, 3\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2650 divided by 13588.\nAnswer: 1325\/6794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)*2 + sqrt(140))*6 - (sqrt(140) - (3*sqrt(140)*-2 - sqrt(140))))\/(-6*(sqrt(5) + sqrt(35)\/sqrt(7)) + (sqrt(30)\/sqrt(150) - sqrt(5))).\nAnswer: -25*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*m = 30, i + 3*m - 4 - 3 = 0. Let q = i - 51\/4. Is q at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 4. Let u be r(-7). Suppose 14*c + 162 = u*c. What are the prime factors of -3*c\/(6\/2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5944, 23890, 53800, 95674, 149512, 215314, 293080?\nAnswer: 382810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -2 (b) 5 (c) -0.1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6*d + 3*d + 2)*(580 - 258 + 188).\nAnswer: -1530*d + 510","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10, -46, -104, -184, -286?\n\"Answer: -11*u**2 - 3*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wv when two letters picked without replacement from wzvrwv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpq when three letters picked without replacement from {m: 2, q: 1, w: 12, r: 2, p: 1}?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 2:22 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14611971 is divided by 32616?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 4*d + 8 = w, -5*w = -2*d + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**2 - 17*n**3 - 5*n + 18*n**3 - 18 - 8. Let y be r(-6). Solve y*x + 12 = -0*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 918 + 345435?\nAnswer: 346353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, p: 4, c: 4}. What is prob of sequence pcqq?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**0*i)**(8\/5))**6 assuming i is positive.\nAnswer: i**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*w - 70 = 0, -3*w - 2 + 5 = 0. Find the third derivative of 6*h**2 + 7*h**5 - c*h**5 - 3*h**5 + 19*h**2 wrt h.\nAnswer: -1200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + sqrt(567) + sqrt(567) - sqrt(567)))**2.\nAnswer: -1350*sqrt(7) + 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11080151?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5415\/665 - (-8)\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -24*n + 1. Let i(z) = -46*z - 17. Let t(h) = 2*f(h) - i(h). Calculate t(-11).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -837, -806, -777, -750, -725?\n\"Answer: -b**2 + 34*b - 870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s + 8. Suppose 0 = -3*c + 5*g + 18, 3*c - 3*g - 18 = -6*g. What is the remainder when r(c) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**4\/2 - 5*q**3\/6 - q**2\/2 - 14*q. What is the tens digit of g(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -184*q + 1673 + 719 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 926730307171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -3\/112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 0*u + 29*u**3 - 47*u**3.\nAnswer: -18*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16688843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3094, 3099, 3104?\nAnswer: 3109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -31*f**3 - 3*f**2 + 2*f + 1. Let d be p(-7). Suppose 3*h + d = 6*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/16656 and 113\/20820.\nAnswer: 83280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 57. Let n = 3\/91 + 355\/273. Let o be 0*-2*(-1)\/(-6). What is the nearest to 1 in n, b, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1999 + 2066 - 6062 + 1997 + 19*k**2 - 13*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -21. Let r(h) = h - 1. Let c be r(12). What is the nearest to -1\/3 in n, -1\/4, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -67.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147 and 42.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*o + 17, -f - 13 = -3*o - 0*f. Let s(a) be the second derivative of -1\/6*a**o + a + 0 + 0*a**2 - 1\/5*a**5 + 0*a**3 - 1\/15*a**6. Factor s(n).\nAnswer: -2*n**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**7\/42 + 3*k**6\/8 + 2*k**5 + 25*k**4\/6 - 151*k**2 - 267. Let s(v) be the second derivative of b(v). Factor s(z).\nAnswer: 5*z*(z + 2)**2*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 6*t - 7\/6*t**3 + 7\/12*t**4 + 0*t**2 + 0. What is the second derivative of a(g) wrt g?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2408801 + 3651999 = 32*y. Round y to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 <= -156785\/5531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -201, -444, -907, -1662?\nAnswer: -2781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 2155.\nAnswer: 23705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -48783400 rounded to the nearest 100000?\nAnswer: -48800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -8. Suppose -2*l + 84 = a*l. Calculate the remainder when 41 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjssssjjsss. What is prob of picking 3 s?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -696031 and -0.08.\nAnswer: -696031.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -16, 0.32, 25?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 a, and 1 j when three letters picked without replacement from {c: 1, a: 1, j: 2, v: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52713?\nAnswer: 3, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -53*q**3 + q**2 + 4*q - 3. Let x be g(2). Let v = -258 - x. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w**3 - 3*w**2 - 7*w - 3. Let z be l(-2). Let h be -28 + z - 1\/(1\/(-2)). Solve 4*m + 16 = 0, -3*m + h = -t - 5*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207184004603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -2 (c) -2\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 592 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4*b - 3*b - 8, -3*n = -3*b. Solve -g - 5*a + 5 = g, -n*g = 5*a - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107218592 divided by 121288.\nAnswer: -884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63170 and 101072.\nAnswer: 505360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -223 + -1c?\nAnswer: -23f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, m: 2, f: 3, h: 4, l: 4}. Give prob of sequence hmhm.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b - v - 8, 0 = -2*b - 4*v + 24. Suppose 2*k - 34 - 22 = f, -3*k - b*f = -62. Let a = k - 14. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**10\/(q\/((q*q**(-1\/14))\/q)) assuming q is positive.\nAnswer: q**(125\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**3\/6 - 4*p**2 + 6*p. Let z be l(-8). Factor 0*c**2 + z*c**3 + 0*c - 1\/4*c**4 - 1\/2*c**5 + 0.\nAnswer: -c**4*(2*c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51538, -51541, -51546, -51553, -51562?\nAnswer: -51573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 3\/4, -0.5, 17705?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -353050 + 4?\nAnswer: -353044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*a**4*j**3 + 85*a**4*j**2 - 34*j**3 + 32*j wrt a.\nAnswer: -24*a**3*j**3 + 340*a**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.4 times -51?\nAnswer: 2570.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -305*0.2\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13759*z**3 + 1 - 1 - 13763*z**3 - 132*z + 132*z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(98) + 3 + sqrt(98)*2 + -1)**2 + ((-1 + -2*sqrt(98))*3 + 4)**2.\nAnswer: 210*sqrt(2) + 4460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 8\/6*7. Let p = -1736\/309 + -5\/103. Let j = v - p. What is the second biggest value in j, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6)\/s**(2\/11))\/(s**(3\/4)*s\/(((s\/(s*s**4))\/s*s)\/s*s)))\/(s**(-4)\/(s\/(s\/(s**(-4)*s))*s)*s**(-2\/15)*s\/s**7) assuming s is positive.\nAnswer: s**(-2507\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -3. Let m = 0.5 - j. What is the biggest value in 4, -0.4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*q**2 + 66*q**2 - 194*q**2 + 62*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (1 + sqrt(2))*-1 + -3)**2 - (sqrt(2) + sqrt(18)*-5 + (-2 + sqrt(32))**2))*-2.\nAnswer: -72*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-8))\/(-2*(-2)\/(-24)). Let x be (-2)\/2*1 - t. Solve -5 = x*q + 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1301304 (base 5) to base 16.\nAnswer: -6274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47342 - 110.\nAnswer: 47232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16 - -2d4?\nAnswer: 2ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 4*d + 2. Calculate l(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -443767, -443769, -443771?\n\"Answer: -2*v - 443765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -26.78, 0.4, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -5. Let u = 0.05 + -0.25. What is the third biggest value in i, 0, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 116*a + 706. Determine k(35).\nAnswer: -904","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixikxxiixxk. What is prob of picking 1 x and 1 i?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -65*n - 57*n - n**2 + 183*n - 60*n. Let l = 0 - 0. Suppose l = -r - 2 - 3. Let z(p) = -7*p**2 + 5*p + 1. Determine r*c(m) + z(m).\nAnswer: -2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 3*a - 174. Let p = 82 + a. What are the prime factors of ((-16)\/p)\/((-2)\/276)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134760 to the power of 1\/2, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.7 - -3.08. Let l = -0.38 + s. Are 0 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1161*r + 24*r = 845*r + 30*r + 56336 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3913 and 1729?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a - 66. Let u be x(7). Let o = 14.3 + -1.3. Let b = 81 + -80.9. What is the closest to b in o, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000558527135 to six decimal places.\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - ac9577?\nAnswer: -ac9572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t - 8*t - 3*t. Let v be n(-2). Suppose k - 5*o - v = 8, -12 = -k - o. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112 + 193. Let j = 93 + c. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:17 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44415 to the power of 1\/2, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/9 (b) -2 (c) 1\/4 (d) 5\/266 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12978 + 12981. What is the second biggest value in -1, 1.63, w, 0.06?\nAnswer: 1.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.168 - 13.418. Let o = m + -0.75. What is the third biggest value in o, 1\/3, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02329 times -0.2?\nAnswer: 0.004658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*v - q, 5*v + 10 = -0*v + 5*q. Let s = 9 + v. Solve -3*i - s*i - 20 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d - 25 - 2 - 7 + 7*d**2. Let u be t(-8). Suppose 3*q + 32 - u = 3*b, -2*b = q - 123. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 10*w - 5. Let o be u(10). Let y(l) = 12 + 2*l + l - 2*l**2 - 2*l**2 + 5*l**2. Does 11 divide y(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7064219 or 7064247?\nAnswer: 7064247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 5*v**2 + 5*v - 2. Let u be j(-6). Suppose -u*g + 0*q - 2*q + 38 = 0, 2*q = g - 2. Let w = g - -8. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 + 12 + 19 - 15*o + 3*o**2 as w*o**2 + r + x*o and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/19, 5, -0.802 in decreasing order.\nAnswer: 5, 6\/19, -0.802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 e, and 1 d when three letters picked without replacement from {e: 1, m: 1, y: 2, d: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-4)*((-36)\/(-3))\/36)\/((-6)\/(-56)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7717, -2, 6, -11, 0, -4 in descending order.\nAnswer: 6, 0, -2, -4, -11, -7717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, h: 1, k: 2, a: 1}. Give prob of picking 1 a, 2 s, and 1 h.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085637 a multiple of 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**2 + 408*m + 2592 = 0. What is m?\nAnswer: -6, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008509082 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: Suppose m = 4*z - 28 - 5, -2*m = 4*z - 30. Suppose r - z + 7 = 0. Calculate the greatest common factor of r and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + (-130)\/4)*2\/(-18). Let r(g) be the first derivative of -z*g**2 + 4\/3*g**3 - 11 + 0*g. Find the second derivative of r(o) wrt o.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -229\/32 - -1963\/480. Calculate the common denominator of j and -43\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 9*j**2 - 4*j - 12. Determine g(5).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -u - 5*y + 9, y + 9 = 4*u. Which is the nearest to u? (a) 0 (b) -1\/6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 - (-204)\/15. Suppose 3*x - 1 = o. Suppose -5*d - x*i + 5 = 0, -3*i = 2*i - 5. Solve d = p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9434957 to the power of 1\/2, to the nearest integer?\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 192078 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 take away 1480.477?\nAnswer: -1487.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9069946 divided by 3.\nAnswer: -9069946\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 370 (b) 2 (c) 732 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) -5 (c) -3\/5 (d) -0.34 (e) 0.041\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -349 - -349. Let y(l) = 7*l**2 - l - 4. Let o be y(3). Suppose k + 4*t - o = 3*t, -2*k - 3*t + 108 = p. What is the remainder when k is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-194)\/16*38 - 46\/184. List the prime factors of w\/(-2) + 6\/4.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*b = -8, 0*r - 2*b + 22 = 4*r. Suppose -r = -3*w + 7. Is 7 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 33695666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o**3 + 2*o**2 + 36*o + 36. Does 21 divide t(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131\/426 - 91\/142. Which is greater: v or -223.9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(209)*2*5)\/(6*sqrt(704)*-2).\nAnswer: -5*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -202*y**5\/5 - 618*y + 189. What is the derivative of n(l) wrt l?\nAnswer: -808*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-4463328\nAnswer: 446332.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9800)\/(-220) - (-18)\/(-33). Which is greater: o or 42?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o. Let k be l(3). Suppose -62*r + 44 = -40*r. Let b be 8\/(-6)*36\/(-24). Solve 0 = -b*q - r*x - k, -q - q + 5*x + 22 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 152, 301, 450, 599?\n\"Answer: 149*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3548 is divided by 503?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15722356 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 1:34 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcm when three letters picked without replacement from {v: 2, c: 1, j: 1, m: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w**2 - 9. Suppose 17*f = 13*f - 28. Let l(s) = 8*s**2 + 10. Let b be ((-8)\/(-10))\/((-8)\/60). Calculate b*l(q) + f*c(q).\nAnswer: q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4029?\nAnswer: 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 9:58 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -2\/11, 4, -0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2. Let c(y) = y + 41. Calculate c(d(b)).\nAnswer: -2*b**2 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 765642.\nAnswer: 765642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403351, 403366, 403381, 403396, 403411?\nAnswer: 403426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3700, -7476, -11238, -14980, -18696, -22380?\n\"Answer: m**3 + m**2 - 3786*m + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49476602.\nAnswer: 2, 7, 3534043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 222382 divided by 2275?\nAnswer: 222382\/2275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3 - 12 + 7 - 7*n + 2*n + 3. Let h be -1*2\/4*2. What is f(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 5:43 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5788 + 167850\/29. Which is greater: v or -25?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.6 - -1.45. Let f = m - 2.85. Which is the smallest value? (a) 4 (b) f (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 33 + 15*q + 19.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11254, -44855, -100858, -179263, -280070, -403279, -548890?\nAnswer: -716903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i - 4. Let j be v(-3). Suppose -4*l - l + 3*g + 25 = 0, j*g = -10. Solve 0 = -2*w - 0 - l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -324662317*k**4 - 124796769*k?\nAnswer: -3895947804*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 56939728*v - 202633289044624.\nAnswer: -4*(v + 7117466)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 4:28 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20700006 is divided by 304411.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/39)\/((-328)\/(-81016))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*t**2 + 5*t**2 + 41 - 43 in the form j + d*t + w*t**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -934.077 - -2.077. Let v = p + 926.97. Let u = v + 0.03. Which is the biggest value? (a) 2 (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -10, -0.04, 5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 1 - (4 - 2). Let j(u) = 22*u + 4. What is the units digit of j(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -195, -98, 81, 348, 709, 1170?\n\"Answer: d**3 + 35*d**2 - 15*d - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 0, -2*t - 10 = -35*j + 30*j. Sort 0, j, -3, -2, -5 in descending order.\nAnswer: j, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 12*k + 33. Suppose 4*w + 2*c - 26 = 0, 2*w - 3*c + 8*c = k. Suppose -s + 17 = -w. What is the highest common divisor of s and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187772921 by 26824703.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94582, -91194, -87806?\nAnswer: -84418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -540c + -b1d?\nAnswer: -602a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2758953 divided by -3947.\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 + -122 + -77 - -17.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12049 is divided by 287.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**3 + 527*i**2 - 681*i - 93550. Determine z(-105).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 276763409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 15. Let n be a(-11). Suppose -4*x + 3*y = 7, -x + n + 3 = y. Determine k so that 0*k + 2*k**3 - 6*k**2 + x - 4 + 0*k**3 + 6*k = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - q**2 - q + 3. Let r be m(0). Let v be (-578)\/(-8) + r\/(-12). Suppose 7*k = 3*k + v. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39353 is divided by 16053?\nAnswer: 7247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -101*l. Let y(d) = -d. Determine y(i(k)).\nAnswer: 101*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 26 + (-19 - -1) - 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 0)*3\/15. Which is the closest to 2\/3? (a) 5 (b) -0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34430082 divided by 6?\nAnswer: 5738347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1542*m**3 + 2281 + 2732 - 746*m**3 + 4175*m**3 - 237*m**3 wrt m?\nAnswer: 14202*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, v: 2}. What is prob of sequence vxv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 6*p + 1. Let k(y) = -1356*y**2 - 12*y - 2. What is -2*b(a) - k(a)?\nAnswer: 1354*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**5\/120 + 11*x**4\/24 - 14*x**3\/3 - 6. Let m(t) be the third derivative of u(t). Calculate m(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -3996.\nAnswer: -3996, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 6*y**2 - y + 8. Let g(t) = t**3 - 6*t**2 - 6*t - 1. Let j be g(7). Let n be q(j). Suppose -2*c + c + n = 0. Solve -3*s + c = -4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2160 divided by -540?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q - 2*q**3)*(0 + 2*q + 0 + 4*q - 5*q + 2*q - 2*q + 1 - 1 + (2 + 2 - 2)*(-2*q + q + 3*q) - q - 2*q + 4*q + 0 + 0 + 2*q - 2 + 1 + q + 0*q).\nAnswer: -18*q**4 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 14 + 3. Let c(f) = -f**3 + 2*f**2 + 6*f + 4. Let q(a) = -a**2. Let p(n) = -c(n) - 5*q(n). What is the remainder when j is divided by p(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -149075, -596345, -1341799, -2385437, -3727259, -5367265, -7305455?\n\"Answer: -149092*y**2 + 6*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**5\/30 - z**2. Let y(m) = -4 + 11 - m**2 - 7. What is y(k(b))?\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 139 - (-1939 - -2103)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a factor of 1288123528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*p - 59 + 59.\nAnswer: 107*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13952 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4459.978 micrograms in nanograms?\nAnswer: 4459978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3530189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -15, -53, -119, -219, -359, -545, -783?\nAnswer: -1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.79 - 8.84?\nAnswer: -14.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**3 - 4*x**3 + 3*x**3)*(-5 - 10*x + 5) + 2 - 2 + x**4 in the form o + a*x**3 + z*x**4 + b*x**2 + k*x and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -806 + 1394. Let q = k + 6. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 3*d + 5*r, 5*d + r + 26 + 140 = 0. Let n be d\/189 - (-6)\/21. Is 3 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011489531 to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72.7421383 + 72.74. What is n rounded to four dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30828581 and 17616332?\nAnswer: 123314324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 + 0*l**3 + 3*l + l**3 - 4*l**2 - 4. List the prime factors of b(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*s**3*x + 3*s**2*x - 117*x + 1 wrt s?\nAnswer: -45*s**2*x + 6*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -24. Let o be (6\/9)\/(v\/((-6)\/(-4))). Does 16 divide 45*o*(-19)\/(95\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**5\/4 - 11025*k**4\/2 + 41510991*k**3\/4 - 906636987*k**2 - 3751257381*k - 3792856608 = 0.\nAnswer: -2, 96, 3629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7*n + 130. What is the highest common factor of n and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 - 140064*p**3 - 463428216*p**2 - 491453668224*p - 172100242220076.\nAnswer: 4*(p - 38139)*(p + 1041)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10503158 is divided by 171?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**3 + 1002236*h**2 + 26055964*h + 133283556 = 0. What is h?\nAnswer: -250533, -19, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 15 + 0 = 0. Suppose 5*a - 35 = -15. Solve 0 = -0*y + 4*y - a*o + 8, -f*o + 8 = -5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 218?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**5 - 2903*j**3 - j**2 + 11904*j wrt j.\nAnswer: -20*j**3 - 17418*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -118 in -7\/5, 19, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -55. Let k(f) = -4*f**2 + 9*f. Let b(i) = 3*i**2 - 8*i + 1. Let s(c) = -3*b(c) - 2*k(c). Give s(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 3. Let a be t(-7). Let x(f) = a*f**2 - 2*f**3 + 7*f + f**2 - 3*f**3 - 5. Let w(r) = 2*r**3 - 5*r**2 - 3*r + 2. Determine -7*w(k) - 3*x(k).\nAnswer: k**3 + 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 3*h = -8, -5*c - 208*h + 212*h = -1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**2 - 6*r - 20. Determine l(-5).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79873.37s to microseconds.\nAnswer: 79873370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 43\/4 of a second?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:22 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*h + 7 - 1 = 0, 2*d + 5*h + 15 = 0. Let c(b) = -b**3 + b**2 + b + 15. Let o be c(d). Solve -m - o = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -459484 times 0.1?\nAnswer: -45948.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 21*n**2 + 18*n + 57. Let t be 2970\/132 + (-10)\/4. Let r be k(t). Suppose 3*u + u - 68 = 0. What is the highest common divisor of r and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 100?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 114570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + 2. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-114)\/(-14))\/(-39*4\/(-42)) and 1\/299?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6063185069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**3 - 6*g**2 - 9*g + 549. Let m(h) = h**3 - 2*h**2 - 2*h + 136. Give 9*m(t) - 2*n(t).\nAnswer: t**3 - 6*t**2 + 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 4*t + 31. Let l be 0\/(1\/(4 + 7\/(-2))). What is the units digit of i(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 236.62 and 1554.\nAnswer: 367707.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 + -15 - (-46)\/11. What is the third biggest value in 0.1, 0.4, b, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-7 + 11 + -4 - -23)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/10 - c\/5 - 84 = 0 for c.\nAnswer: -28, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 3 + 3 + (-4 + 3 + 3)*(-3 - 3*u + 3))*(5 - 3*u - 5)*(-4*u**3 - 3*u**2 + 3*u**3 + 5*u**2).\nAnswer: -6*u**5 + 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.3 and 4?\nAnswer: 41.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-6*(sqrt(833) + 0) - (1*sqrt(1088) + 2)))**2.\nAnswer: 1800*sqrt(17) + 382536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -291 (base 16) to base 11\nAnswer: -548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325350 divided by 36150.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0 - 2) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t + 6 + 0*t**2 - 3*t + t**2 + 2. Let p be r(6). Find the third derivative of 2*n - p*n - 4*n**2 - n**3 wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 148174? (a) -4\/3 (b) -2 (c) -1 (d) -15 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, x: 1, n: 8, j: 2, v: 4, k: 3}. What is prob of sequence vxv?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*m - 276 - 919 + 19 = 0 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 37 = 3*c, 3*s + 2 = c + 3. What is the greatest common divisor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 711 - 756. Suppose -2*z = -l - 5*z + 8, -5*z - 20 = 0. Solve 4*m = f*m - l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + -55.8. Let y = 5 - a. Sort y, -1\/2, -0.3, -3.\nAnswer: -3, -1\/2, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 + 1 - 42)*(5 - 5 - 1)*(11*l**4 + 3*l**4 + 4*l**4) in the form t*l**2 + u*l**4 + m*l**3 + d*l + p and give u.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z. Let o(s) = -3*s + 9. Let m(a) = a - 4. Let l be -2 - (-1 - (-3)\/1). Let j(t) = l*o(t) - 9*m(t). Calculate c(j(v)).\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -5 (b) -234\/175 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1223313330 (base 4) to base 12\nAnswer: 193850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-12)\/(-4)) + -24. Suppose 4*j + 327 = 3*m, -3*m - 66 = 2*j + 75. Let d be (-12)\/j - 100\/v. Solve -7 = -d*s + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d423 (base 16) in base 4?\nAnswer: 31100203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, x: 15}. What is prob of picking 2 u?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*4\/(-8)*16\/(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + f**3 + 495*f**2 + 13 - 474*f**2 to the form c*f**2 + l + x*f**3 + t*f and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.346 - -0.49. Let n = 0.256 + l. Sort -3, -5.7, 0, n in decreasing order.\nAnswer: n, 0, -3, -5.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = -5*u - 81. Let h = u - -42. Suppose -h = 5*o + 13. Is -17 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 11:09 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddid when four letters picked without replacement from {i: 2, d: 17}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 660 = -y, 0 = -5*b + 3*y - 16 + 858. Suppose 0 = 3*w - 15*g + 11*g - b, 0 = -4*g + 8. What is the highest common divisor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 9*z + 23. Let f be h(-11). Solve c = 4*c + 5*l + 8, -3*l = -2*c + f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 406.2491 days?\nAnswer: 35099922240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzu when three letters picked without replacement from zzuzczucc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**2 - 16*a - 30. What is the remainder when r(9) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 6 = -4*x + 13, 15 = 4*x + 5*a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**5\/480 - s**4\/32 + 7*s**3\/48 - 24*s**2 + 52*s. Let y(p) be the first derivative of z(p). Factor y(c).\nAnswer: -(c - 1)*(c + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shxh when four letters picked without replacement from ohohooxosv.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24420474 is divided by 595621.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((2 - 4) + -1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 7248.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73562859.\nAnswer: 3, 17, 480803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/11819 and 20\/34634799.\nAnswer: 1835644347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 439.3292 millennia in centuries?\nAnswer: 4393.292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0 + 1 + 1)*(92 - 114 - 44)*(2 - 1 + 1)*(3 - 10 + 4).\nAnswer: -396*x + 792","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1843*c - 3623*c + 335*c - 3045*c + 604*c to n + u*c and give u.\nAnswer: -7572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 4*p**2 - 5*p - 8. Suppose -5*d = -2*u + 11, 19*d - 17*d - 2 = 4*u. What is v(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 0 + 5\/6*z**3 + 0*z + 1\/24*z**4 - 1\/60*z**5 - 2*z**2. What are the prime factors of a(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - -17. Suppose 0 = -4*g - a + 408. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8 - 17.2. Let q = n + 13. Let y = q + 4. Which is the biggest value? (a) 0 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5004855918?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(125) + sqrt(125)*-1 + ((sqrt(125) + 1)*1 + sqrt(125))**2.\nAnswer: 20*sqrt(5) + 499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*n = -201*n + 42840. List the prime factors of n.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3425 (base 7) in base 8?\nAnswer: -2334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - f - 11341 = -11345, 5*w - 4*f + 23 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 - -0.109874. What is u rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 141 - 144 - (-3 + 3 + 0 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -15, -37, -79, -147, -247?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 166\/4 - (-15)\/30. Let h = 69 - s. What is the remainder when 71 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.7972432 rounded to three dps?\nAnswer: 33.797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52321*z**2 + 103998*z**2 + 8*z - 52211*z**2 + (-1 - 4 + 3)*(2*z**2 - z**2 - 2*z**2))*(0*z - 2*z + 3*z).\nAnswer: -532*z**3 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 813972?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 10*j**2 - 11*j + 10. Let k be s(-9). Calculate the highest common factor of 140 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: a97a7 (base 11) to base 2\nAnswer: 100110111001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-27))\/2*4374\/162?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 24102512?\nAnswer: -24102510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 49805163, 49805163, 49805175, 49805205, 49805259, 49805343, 49805463?\n\"Answer: x**3 - 7*x + 49805169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 319 = -3*q + 2*q, d + 137 = -4*q. Let y = d - -2803\/18. What is the common denominator of y and 21\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2. Let u(y) = y + 6. Let a(q) = 11*q**2 + 54*q - 4. Let c be a(-5). Let f(i) = c*u(i) + 3*b(i). Calculate f(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 13*m**2 + 910*m + 2849. What is s(-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 898\nAnswer: 4490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3590*p**3*q**2 - 1314*p**3*q - 4*p**2*q**2 - 5*p**2*q + 2*p**2 - 1682*q**2 - 2 wrt p.\nAnswer: 21540*q**2 - 7884*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(3\/5)*h**2)\/(h*h\/(h*h\/(h*h**(-1)\/h)))**(3\/16))**(-2\/47))**(8\/9) assuming h is positive.\nAnswer: h**(-23\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/3, -2\/5, 0.03, 498\/35?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 742 - 766. Let n be (9\/6)\/3*0. Sort u, -2, -3, n in increasing order.\nAnswer: u, -3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -5. Suppose t - z - 25 = 0, 3*t + s*t - 75 = z. What is the highest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - j + 30. Let d = j - 0. Is (2\/d)\/(2\/(-318)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2 - 12. Suppose -4 = -5*x + 4*u - 5*u, b*u + 9 = 4*x. Solve -s + x = -3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/10*(1 + 1)*-23. Suppose -9 + g = s - c, 27 = 3*s + 2*c. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9.43134? (a) 2 (b) 9 (c) -2 (d) 0.2 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18117973 divided by -1.\nAnswer: 18117973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/((-18)\/8 - -3). Let g be (6\/12 + (-4)\/8)\/(-2). Suppose g = v*f + 70 - 198. Solve -4*r - 3*u + 0 - f = 0, -r = -4*u - 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eerekzkze. What is prob of picking 2 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 721372909*o + 106326551?\nAnswer: 721372909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2. Let s(p) = 8*p + 5. Let c be 10\/(-30) + (1 - 48\/(-9)). Let q(f) = -7*f - 6. Let x(i) = c*s(i) + 5*q(i). Calculate b(x(j)).\nAnswer: 845*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/111)\/((-8)\/9) - (-30)\/80?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3 + 855\/(-27). Calculate the common denominator of (-45)\/12 - (-3 - -4) and 4\/(c\/(-188)) - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -622, -978, -1944, -3826, -6930, -11562, -18028, -26634?\nAnswer: -37686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.48821 weeks to minutes.\nAnswer: 488761.1568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 3*t**2 - t - 2. Let f be -3*(-1)\/(2\/2). What is k(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keekkkkkekeeee. Give prob of sequence ee.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + i**4 + (-3*i**4 + 4*i**2 - 4*i**2)*(-5 + 2 + 4) + 1 - i**4 - 1.\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 634634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*n**2 - 134*n**4 - 163*n**4 - 18*n**3 + 477*n**2 + 393*n**4 - 34*n**2 wrt n.\nAnswer: 2304*n - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42800 and 24100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -18\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 7:16 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**2 + 29*l + 45. Let d(m) = -m**2 - 6*m - 9. Let y(k) = 2*a(k) + 11*d(k). Let t be y(9). Solve -5*w = 4*q + 10, 3*w - q + 6 = -t*q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2)**(16\/3))**43\/((q**(1\/3)*q)**(-48)*q*q*q**3*q*q*q\/((q*q\/q**(1\/3)*q*q)\/q)) assuming q is positive.\nAnswer: q**(1552\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1088 + 2968. What is the greatest common divisor of p and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827353877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*n + k - 12 = 76*n, -5*n - 3*k + 22 - 37 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.041376 (b) 2 (c) -4152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6.643 (b) -3\/2 (c) 0.5 (d) 4\/9 (e) 0.1 (f) 0 (g) 8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 1 + -102 + 93.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l. Suppose -2*q - 2 = -6. Let a(b) = 4*b**2 + 9*b**2 - 14*b**2 + 3*b**q. What is p(a(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 270770 * -24.\nAnswer: -6498480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/2576 and -45\/11.\nAnswer: 28336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/6, -18, -9, -193 in increasing order.\nAnswer: -193, -18, -9, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3\/7 + 870*a**2\/7 - 146719*a\/7 - 1884180\/7 = 0 for a.\nAnswer: -1013, -12, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -7) + (9 - -1). Let y = -7 + j. Suppose 15 = 5*s + y*k, -s = 7*k - 3*k - 12. Put 2, s, -1 in decreasing order.\nAnswer: 2, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -270\/11 + 1773\/44. Find the common denominator of 1\/14*-523 + (-6)\/42 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 - 4*a - 29. What is j(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 419, 757, 1181, 1691?\nAnswer: 2287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Suppose r*u + 20502 = 5*c, -4*u - 20501 = -c - 4*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 596*22\nAnswer: 13112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (162\/84 + 6)\/9 and 167\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/7222997 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4403923, -17615652, -39635201, -70462570, -110097759?\n\"Answer: -4403910*a**2 + a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18768\/4347 + (-4)\/(-36) + -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**4\/12 - d**3 - 3*d**2 + d + 131. Let o(j) = 5*j + 5. Calculate 5*n(x) + 6*o(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 412 + 374 = 5*r + 817, -5*r + 3*s - 16 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 14*b + 1. What is m(-2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -149.254 - -149. Let y = 0.16 + -0.124. Let u = r - y. Round u to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1078595135246 and -1.49.\nAnswer: 1078595135244.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22 + 231?\nAnswer: 20c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 12. Let r be f(9). Let w(a) = 12*a**2 + a + 6. Let q be w(6). Suppose -2*t - 3*z = -6*z - 271, -3*t - r*z + q = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -2 in descending order.\nAnswer: 8, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 40*b - 175. Determine w(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 7. Let v be (6\/d + 1)*-1. Let i = -1.06 - -0.06. Which is the third biggest value? (a) v (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-12)*3\/2. Suppose -3*s = -k*s - 18. Suppose 2*t + t = -6, 4*d = -t + s. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000010 + 1011?\nAnswer: 11001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.74 + -8.684. Let y = h + -0.056. Let u = -0.1 - -0.5. Which is the second biggest value? (a) y (b) 1\/6 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 4121.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -16*v + 8*v. Let s be v\/(-4)*((-7)\/(-9) + -1). Which is smaller: 1\/46 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10040739*0.1.\nAnswer: 1004073.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -732 + 732.0814. Let r = 0.08 - v. What is r rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + (4*sqrt(153)*1*-5 + -3)*-1)**2.\nAnswer: 240*sqrt(17) + 61202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -20, -2\/5, 0.4, -3\/173?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnvninnvmiivvmi. Give prob of sequence nmni.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*20\/(-10)*4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4 + 44*z**2 + 77489*z - 1 - 140*z**3 - 77409*z + 21 = 0. Calculate z.\nAnswer: -2\/5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 2\/(-4))*(3 + -5 + -1)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32.7 + 78.48. What is o rounded to zero decimal places?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 1.45178.\nAnswer: -20.32492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-7)*406\/(-1740)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 7.7. Let b = -0.30000056 - h. Round b to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 190\/35 - 140\/(-245). Let f(p) be the third derivative of 0*p + 3*p**2 + 1\/660*p**u - 1\/330*p**5 - 1\/33*p**4 + 0 + 4\/33*p**3. Factor f(i).\nAnswer: 2*(i - 2)*(i - 1)*(i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + -4*(sqrt(20)\/sqrt(2))\/sqrt(2)) + (3*4*sqrt(180)\/sqrt(9)*5)**2.\nAnswer: -20*sqrt(5) + 71995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/15*6\/(-8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in 2, 2172, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 236.350279 rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 5:17 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -19351.051 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 552237 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2749 + 21870 = h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 7*h**2 - 33*h - 325. Let r be y(-8). Which is the second biggest value? (a) 1 (b) r (c) 2.43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 48. Let i be (-16)\/(-5) + 3\/h. Is 24\/11 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -159 + 244. Let b = 2 - 60. Let k = w + b. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cwwcwwwcwcwpccwwwcww?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 15*y**2 - 3*y - 2. Let t(x) = 14*x**2 - 3*x - 3. What is -5*k(o) + 4*t(o)?\nAnswer: -19*o**2 + 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 11 = -i, -3*o - 2*i + 14 = -7*i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a - 12. Let j be (-32)\/(-18) + a\/(-18). Let d be j\/9 - 12\/54. Round d to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.209795 to one decimal place.\nAnswer: -73.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1390 + 1390.4. What is the second biggest value in 0, -7, x, -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4452600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 10*g + 8. Suppose -2*x = x - 4*j - 2398, -g*x + 5*j = -3196. Let h = x + 237. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 196*m**3 - 14*m**2 + 63*m - 33. What is the units digit of t(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.52 and -0.2.\nAnswer: 0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**2 + 4*k + 1. Let g(f) = 11*f**2 + 7*f + 1. Suppose 4*c = 5 - 1. Let r(a) = -4 + a + c + 1 - 11. Let i be r(9). Calculate i*g(m) + 7*z(m).\nAnswer: -2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1581616?\nAnswer: 2, 41, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b1 + -9?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/(-72) - 84*49\/(-2352).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20617296*b + 20617296*b + 936*b**2.\nAnswer: 936*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 4*i + 3. Let t be l(-2). Let v(z) = -2*z**3 + 4*z**2 - 2. Let o(c) = 2*c - 3. Let k(u) = 2*o(u) - v(u). Determine k(t).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l + 9 + 4 - 33*l + 9*l - 15*l. Let s = -2 + -1. What is the remainder when k(s) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -8*l - 10. Sort l, 5, 3, -5 in descending order.\nAnswer: 5, 3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-3 + 4) - -4) + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1356*a - 20977 + 20977)*(3 + 1 - 5)*(0*a + 5*a - a) in the form d*a + y + g*a**2 and give g.\nAnswer: 5424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.1 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4177\/28 + 1046\/7. Suppose -2*x**4 - 25\/4*x**3 - 19\/2*x**2 - 2 - b*x**5 - 7*x = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 4700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -8, -1, 0 in increasing order.\nAnswer: -8, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.18 and 181.2689.\nAnswer: 181.4489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 4070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*t + 185*t - 60*t + 240*t.\nAnswer: 452*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0*m + 4. Suppose m = c + c. Calculate the smallest common multiple of 7 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -272, -2 in decreasing order.\nAnswer: 4, -2, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6087\/2358230 - 3\/2855. Is 1 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*f. Suppose 5*o - 16 - 9 = f. Let c = 17 - o. Calculate the highest common divisor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/5))\/(d*d**(-4)\/d))\/(d**1*d)**(-2\/61)*(d**(2\/11)\/(d**(1\/14)\/d))**(1\/2) assuming d is positive.\nAnswer: d**(546803\/93940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 30 = -r, 0 = -2*r + r + 3*d + 20. Let p = 2.003 + -0.003. Which is the closest to p? (a) 0.4 (b) r (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23716321723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**2 + y. Let z be k(-1). Let d = z + 16. What is the least common multiple of d and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 158 and 0.31?\nAnswer: 48.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -94*y - 4. Let h be f(-4). Suppose 0 = -2*m - h + 1142. Round m to the nearest 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b - 3. Let j(d) be the second derivative of d**3 - d**2 - 8*d. What is -5*j(y) + 4*q(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + x - 1. Let q(l) = -l**3 - 4*l**2 - 3*l + 1. Let i be q(-3). Let v(k) = -4*k**2 + 5*k - 5. Give i*v(t) - 5*w(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-6)\/z*z*z\/(z\/z**5)*z**1\/(z*z*z**(3\/2)*z))\/((z**5*z)\/z**(-3\/5)*z**(-2)\/(z\/(z*z\/z**(3\/8)))) assuming z is positive.\nAnswer: z**(-309\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3*l + 0 - 2*l + 4*l - 3*l + (-3 - 2 + 3)*(l + 3*l - 2*l) + l - 2 - 2 - 1 - 2*l + l + 4*l.\nAnswer: 2*l - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1136 = -4*n + 3*s, -4*n + 1136 = 3*s. Suppose h - n = 64. Suppose i + h = 5*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1394651?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o - 5*o - 27 + 21 - 5*o + 5*o**2 + 8*o. Let b = 17 + -12. What is the units digit of v(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.3085 and -92.4.\nAnswer: -87.0915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g + 43*g + g.\nAnswer: 32*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-15))\/((-18)\/(-45))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -22. Suppose -9 = -j*d + 2*d. What is the remainder when d + 2 + (0 - -1) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*v**2 + 110*v**6 - 22*v**2 - 42*v**6 wrt v?\nAnswer: 8160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3307*r**3 - 191*r**2 + 3319*r**3 + 21*r**5 + 18*r**5 wrt r.\nAnswer: 2340*r**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165710.4l to millilitres.\nAnswer: 165710400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30851 - -3.2?\nAnswer: -30847.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aa76 (base 11) to base 14.\nAnswer: -5471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/54931 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1029, -0.4, -0.5, 2\/9, -2\/9, 11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167255 divided by -33451.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2849 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 1914 - 12546. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3840) - (sqrt(3840) + sqrt(3840) + (sqrt(3840) - (sqrt(3840) + sqrt(3840)*-2)))) + sqrt(3840))\/(sqrt(48)\/(sqrt(28)\/sqrt(7))).\nAnswer: -16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -346, -517, -686, -853, -1018?\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = r + 2*k, -4*k + 6 = r - 4. Solve 3*o**2 - 6*o**r + 1 + 2 - 6*o - 6 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5) - (-66)\/15. Suppose 5*h = r*h + 30. Calculate the greatest common divisor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40\/3? (a) -8 (b) 0.719 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1057447300 - 2?\nAnswer: 1057447276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1610 divided by -2?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l**2 + 0*l)*(-2*l - l + 4*l) + 3*l**3 - 2 + 2 + (-l**2 + l**2 - l**2)*(-2*l + 2 - 2).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1302959 is divided by 6550?\nAnswer: 6059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 11*t**2 - 141. Let g be s(9). Solve -2*c - g = 5*v, -3*v - 4*c - 3 = -6*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.095231 rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -35. Solve 2*o - k = t, o - 14 = -4*o - 2*k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/15892092 and -1\/28712?\nAnswer: 31784184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 246403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 2*c**2 - 4*c + 1. Let q be y(-3). Suppose 92 = r - q*v, 3*r + 6*v = 7*v + 232. Does 36 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87754.\nAnswer: 2, 17, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1553154787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-4) + 48734\/(-472). Which is smaller: l or -102?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(-7 + (3145\/(-25))\/(-17))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1498*q**2 - 5. Let o(i) = -8*i. Calculate h(o(a)).\nAnswer: -95872*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -212320234 (base 6) to base 12\nAnswer: -131307a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/2, -13, 3\/4, 1.6 in decreasing order.\nAnswer: 1.6, 3\/4, 1\/2, 0.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.05341 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-40) + (-4389)\/(-86900). Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 445442 + -490876985\/1102. Find the common denominator of 71\/28 and l.\nAnswer: 15428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 39*s**2 + 35*s + 62. Let v be b(-40). Suppose 0 = -0*t + t - 120. Find the common denominator of -49\/22 and 4\/(-12) + v\/t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + x - 97. Determine n(0).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.97969 + -0.8966818. Let o = 0.083 - b. What is o rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20979878 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9692787mg to micrograms.\nAnswer: 969.2787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/2510 and 81\/2008.\nAnswer: 10040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (-2 + 2)\/1. Let m = 1 - r. Let c(n) = -n**2 - 641*n - 1275. Let z be c(-2). Solve -m*d - t - 6 = 0, -z*d + 2 = -0*t + 2*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5 - v**4 - 73*v**3 - 179*v**2 + 72*v + 180 = 0. What is v?\nAnswer: -6, -3, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a meter in millimeters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325942 is divided by 713?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 651728789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 437203 (base 8) to base 6\nAnswer: 3052523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2 + (3 - 6 + 4)*(-4 - 31 + 4))*(-3*k + 4*k - 4*k).\nAnswer: 84*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**6\/120 + 3*q**5\/20 + q**3\/2 + 2*q**2. Is t(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**4\/4 - t**2\/2 + 4*t + 4. Let q be l(0). Let g = 338\/5 - 68. Which is the second biggest value? (a) g (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ium when three letters picked without replacement from iluiyuuymyu?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*u + u + 8 = 0, f - 7 = 5*u. Let o(g) = 8*g + 46. Let l be o(-6). Is l + 20 + f + 6 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 13*t = 4. Suppose q = -t*q + 770. Calculate the greatest common divisor of 28 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a year?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 761, 5, 1, -3.\nAnswer: -3, 1, 5, 761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -5338?\nAnswer: 5343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**3*n**2 - 3*b**3*n + 11*b**3 - b**2*n**3 + 8*n**3 wrt n?\nAnswer: 2*b**3 - 6*b**2*n + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 18*x**2 - 16*x - 10. Give s(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23855362*g*s + 7*g + 136*s - 463442 wrt g.\nAnswer: -23855362*s + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/14 and -101\/2969860.\nAnswer: 20789020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.8, 8819, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1205 + -578. Calculate the highest common factor of f and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 - 213*d**3 - 3812*d**4 + d + 2*d - 56*d**3 + 29*d**3 + 3810*d**4 as w + z*d**3 + f*d + c*d**4 + q*d**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23434 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0*j - j + 17, 0 = -5*j + 25. Solve 2*f - 5 = -5*g, -5*f + 18 = c*g - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 16. Let a = 1 + -1. Let p be f(a). Suppose 4*o + 2622 = 2642. Solve -o*x + p = -s, -4*s = -2*x + 3*x - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -211 + 398. Let l = 265 - a. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/6)*j)**(-1\/12))**(2\/21)*(j**(1\/7)\/(j*j**(-7)*j))\/((j**(-2\/23)\/j)\/j**(-2\/5)) assuming j is positive.\nAnswer: j**(505349\/86940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 245 or 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*z**2 + 2505863709*z - 2*z**3 - 2505863709*z.\nAnswer: -2*z**3 + 43*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 5*i - i**2 + 7 - 3 + (-3*i - 3*i + 3*i)*(2*i - i - 3*i).\nAnswer: 5*i**2 + 5*i + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 831.5347 micrograms to milligrams.\nAnswer: 0.8315347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.98 + -0.02. Let g be 4\/(-24)*-2*120\/8. Sort g, j, 0.\nAnswer: j, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -22*c**2 - 23*c**2 + 5*c + 8 + 46*c**2. Let l be h(-5). Suppose 33 = 5*x + l. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 19 (b) -6 (c) 2\/11 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2402213 (base 5) to base 6\nAnswer: -535550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*t - 3*t + 0*t)*(13*t + 4*t - 4*t) + 0 + 0 + 4*t**2)*(4 - 1 - 4).\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(3\/4) + 1. Suppose 0*j + 5*f - 205 = -4*j, -147 = -3*j + 3*f. Suppose -2*a - j = -7*a. Solve u + a = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.386 + 0.086. Let s = -4 + 2. Let u = 0.9 + -0.8. Which is the nearest to u? (a) d (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 0*d - 7 = k, -1 = 2*d + 3*k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(108)*-1*-2)\/((sqrt(81)*-5)\/sqrt(9) + sqrt(900)*2).\nAnswer: -8*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 998 is divided by 62.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -3\/4 (c) 1\/7 (d) 1.39405\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 0 + 0 + (2*f - 2 + 2)*(-3 + 2 + 3) - f + f + 3*f + 2 - 15435*f - 15287*f + 30495*f.\nAnswer: -221*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*c = 0, 0 = 5*g + 28*c - 27*c + 8. What is the third smallest value in -6, g, 0.1, -22?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -12. Solve -b = -0 + s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n - 47. Let r be p(9). What is the remainder when 93 is divided by -3*(8 + -4)*r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 19954 = 11*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891320237?\nAnswer: 13109, 67993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**5\/60 - b**3 + 3. Let q(u) be the third derivative of i(u). Let s(t) = 6*t**2. Determine s(q(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*b + 65*b - 358 = 0. Let m = 186 - b. Which is bigger: 20\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80769 + 51493. Let p be s*(-45 - (0 + (2 - 6))). Let n = 1970316 - p. Round n to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51513712?\nAnswer: 2, 19, 41, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Product of -4322 and 0.59.\nAnswer: -2549.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123238.\nAnswer: 2, 43, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 27836.964 to the nearest 100.\nAnswer: 27800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + (-95 - -152) + 57.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/45 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 50. Find u, given that -4*u**2 + 2 - 8*u - 13*u + l*u = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 57*h - 62*h + 274660, -5*h + 274676 = 3*o. What are the prime factors of h?\nAnswer: 2, 5, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 3:15 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 7 - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 37*r**3 - 2*r**2 + 2*r - 1. Calculate the remainder when l(1) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (5*sqrt(11)*-2 - (1 + sqrt(1100))) + -2 + 3.\nAnswer: -20*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 0 + 8*o + 0*o + 4 - o. Let g be s(-4). Suppose -5*q = -g - 7. Solve q*p + 0 = -3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4 + 7 - 3 - 2*j. Let p(h) = 5*h. Determine g(p(s)).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8886376 and 11500016.\nAnswer: 195500272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4867452*x**3 + 892*x**2 - 883*x + 3.\nAnswer: 29204712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + g**4 - g**4 - 2*g - 3 - 2*g**4 as m*g**4 + h*g + a + z*g**3 + s*g**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 4*v - 3*v + 8 = 0, -3*h = 5*v - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/143 - ((-134)\/(-330) + (-5362)\/40215).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20230355 (base 7) to base 8.\nAnswer: 6341032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5))**8\/(c**(3\/4)*c\/(c\/(c*c**(6\/5))))*((c**(1\/9)*c)\/(c**(-1\/2)*c))\/(c\/c**(1\/5)*c\/(c**(-6)\/c)) assuming c is positive.\nAnswer: c**(-2581\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from {e: 1, u: 1, a: 2, z: 1, c: 1, d: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48*(-32)\/2560)\/(18\/90*(-11)\/1).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03636 and -4249.19831.\nAnswer: -4249.16195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 206*g**2. Let k(p) = -23*p. Determine k(h(a)).\nAnswer: -4738*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/2)\/(5\/(-10)) + 1961?\nAnswer: 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*x + 321*x + 8580 = -68*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (5 - ((12 - 6) + -5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*f - 14 = 24, 3*d + f = 20. Let g(k) be the first derivative of -d - 1\/2*k**2 - 2*k. Calculate g(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, -140, -491, -1184, -2333?\n\"Answer: -19*d**3 + 10*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(1584)) + ((sqrt(1584)*1)**2 - sqrt(1584)) + -3.\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11, 44, 83, 128?\n\"Answer: 3*m**2 + 24*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 204 - 216.9. Let k = 13 + f. Let l = k + -0.0966. Round l to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, x: 5, o: 3}. Give prob of sequence oxoo.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.94 - -0.06. Let h = -1.4 + 1.32. Let k = h + -0.02. Which is bigger: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 279608371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from zezezufozzjzjz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/3, -108, 45221?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5364 and 2388?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.18 - -6.82. Let z = -718\/3 + 240. Which is bigger: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -155.67 - -0.67. Let o = -155.0109 - p. What is o rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2052))\/(sqrt(432)*-2 + sqrt(3)))**2 + (1*(-1*sqrt(209) - sqrt(209)))\/(sqrt(121)\/(1*sqrt(11))).\nAnswer: -2*sqrt(19) + 684\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 7:43 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 + 17 + 142 + 74 + 1?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**5 - v**3 + v. Let n(z) = 3*z**6 - 4*z**5 - 4*z**3 + 3*z**2 + 4*z. Let p(m) = n(m) - 4*r(m). Find the third derivative of p(l) wrt l.\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*f**3 - 13*f**3 + 37*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 = -2*x. Suppose -x*h + 233 = 2*h - 3*q, 5*q = 5. Suppose -y + h = -3*p, y - 47 = -3*p - 0*p. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 equal to -319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 - -0.923.\nAnswer: 40.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 1. Let f be d(-5). Suppose 3*v - 12 = -v, -f*i = -4*v - 4. Suppose -i*l - 5 = l. Put -5, l, -4 in ascending order.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17424 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 (-12)\/(-864)*12*60.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(117)\/(-1*sqrt(9)*5) - ((sqrt(208)\/sqrt(4)*4)\/sqrt(4))**2).\nAnswer: -206 - sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 86*v**2 + 768*v + 272. Give j(-76).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -5, -2, 0.5, 874?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87\/58*(-80)\/780.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10728, -3, -4, 4, 54, 0, 1 in decreasing order.\nAnswer: 54, 4, 1, 0, -3, -4, -10728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1235*s**3 - 5*s - 302*s**3 - 295*s**3 - 354*s**3 - 291*s**3.\nAnswer: -7*s**3 - 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**5 + 309*d**4 - 17964*d**3 + 212208*d**2 + 71808*d - 853776 = 0?\nAnswer: -147, -2, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n + 5. Let s = -58 - -63. Let v(f) = f - 2. Let m(b) = s*v(b) + 2*i(b). Suppose y + 6*o - 3*o = -5, -3*y + 9 = o. Calculate m(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -932 and -471.44.\nAnswer: -1403.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(2860\/(-240240))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -39578) + (36\/(-16) - 24\/(-96)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 119*s**2 - 51*s**2 - 55*s**2.\nAnswer: 13*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 73935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9*s**2 + s + 8. Let o(c) = -5*c**2 - 656*c + 1355*c - 700*c - 4. Calculate -3*i(t) - 5*o(t).\nAnswer: -2*t**2 + 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, o: 18}. What is prob of sequence odod?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 50514521 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -425211772018495 - 2.\nAnswer: -425211772018497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 37 - -1 - (90 - (2 + 78))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 11 = 7*g. Let f(j) = j**2 - j. Calculate the remainder when f(7) is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415, 2651, 8539, 19915, 38615, 66475, 105331, 157019?\nAnswer: 223375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -976*b*r**5 + b*r**2 + 406*b wrt r.\nAnswer: -58560*b*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077275 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 + (-297)\/270. Put -3\/7, -12, -2, f in descending order.\nAnswer: -3\/7, f, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 845389, 845385, 845379, 845371, 845361, 845349?\nAnswer: 845335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 20 = -4*j, 3*j + 52 = -4*i + 92 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 11*y**4 + 20*y**2 - 5*y - 5. Let s(o) = 5*o**4 + 10*o**2 - 2*o - 2. Let u(b) = 2*h(b) - 5*s(b). What is the third derivative of u(x) wrt x?\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -14*h**6\/3 - h**5\/5 - 47*h**3\/3 - 5*h**2 + 2036. Find the third derivative of y(g) wrt g.\nAnswer: -1680*g**2 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 - -1) + -5 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/9 - (1 + 0))*1682204\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (17 - 29 - (-32 - -17))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 32*a**3 - 4*a**2 - 6. Let b(o) = -33*o**3 + 5*o**2 + 7. What is -6*b(q) - 7*v(q)?\nAnswer: -26*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7368431*o**3 - 2*o + 2833317 wrt o.\nAnswer: -44210586*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdrdvrrvd. What is prob of picking 1 r and 2 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**9)**(-2\/15) assuming m is positive.\nAnswer: m**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13953, -13944, -13923, -13884, -13821, -13728?\nAnswer: -13599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, c: 2, m: 5}. Give prob of sequence mms.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21891 + -21962. What is the third smallest value in 3\/5, s, 1\/17, -0.4?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4423995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 8. Suppose -3*n - u*p + 12 = 0, -3*p + 9 + 3 = 5*n. Let l be 12\/(-18)*(-6)\/(-14). Which is smaller: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + a - 5 + 0*a)*(-3*a + 2 + 0 - 4)*(-17*a + 37*a - 18*a).\nAnswer: -6*a**3 + 2*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -66521 - -4?\nAnswer: -66517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 20. Suppose -4 = -3*q + q. Solve 13 = -g + 4*n - 4, -s*n + 16 = q*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, 2\/5, 3\/8, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, v: 9, w: 1}. Give prob of sequence wvr.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -19*c**2 + 3. Let j(l) = 38*l**2 - 5. Suppose -30*x - 48 - 42 = 0. Determine x*j(y) - 5*w(y).\nAnswer: -19*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f + 4. Let a be u(-5). What is the nearest to a in -0.3, -2\/19, 1\/10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + a - 44 = 0, 0*a + 4*a - 36 = -2*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/18)\/((-2)\/(-152524)). Let f = c - -1105559\/29. Let s = f + -366\/145. What is the common denominator of -4\/7 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 327 + -2?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20970 = 64*l - 59*l. Suppose 59*p - l = 53*p. What are the prime factors of p?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3\/4 + 16*p**2 + 71*p - 204 = 0. What is p?\nAnswer: -6, 2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 15. Let z = 36 + -33. Suppose 13 = 4*s - 5*q + 2, -5*s + 3*q + 4 = 0. What is the third biggest value in z, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -157, -3, 3, 5, -5 in descending order.\nAnswer: 5, 3, -3, -5, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 24*m**2 + 2393*m. Let y(z) = 17*z**2 + 1596*z. Determine 5*i(w) - 7*y(w).\nAnswer: w**2 + 793*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -0.3. Suppose -5*t = -14 + 4. Let w be t\/(-12)*18\/(-12). Which is the second smallest value? (a) 1\/8 (b) w (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 10 = 2*o, 0 = 4*k + o + o - 18. Let w be (-328)\/(-18) - k\/18. What is the tens digit of 50\/3*w\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8181\/7 + 2159161\/1848. What is the common denominator of -23\/231 and h?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -69) + (251 - 297) - 146\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10010 or 9064?\nAnswer: 9064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 78*o**2 + 1354*o + 6847. Give g(-56).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3*l - 5*l, 4*l - 6 = 3*u. Which is the nearest to -4? (a) u (b) 0 (c) -3 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**3 - 412387310*d**2 + 5*d + 412387310 = 0 for d.\nAnswer: -82477462, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18877 to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.27 + -4.34. What is the biggest value in -2, 0.04, m?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.6 in 0.3, -0.1, -10, 1, 4, -2051?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 22, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 14 - 35 - 68*h + 22*h.\nAnswer: -46*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.682 + 0.682. Let t = 4 + -1. Which is the fourth biggest value? (a) -2\/11 (b) t (c) r (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597452741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6249160865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7100315 - -2?\nAnswer: -7100313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189)\/(-14) - 12) + (-21)\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114459*h**2*w**4 - 8373220*h**2*w - 108*h*w**2 wrt w?\nAnswer: -1373508*h**2*w**2 - 216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10841 - -10845. Solve -466*t + 462*t = x*o + 4, 4 = 4*t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74151?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118042.4 - 0.84.\nAnswer: 118041.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 4 - 8. Let c(q) = -q. Let o(h) = -10*h - 9. Let w(d) = y*o(d) - 3*c(d). Let b be w(-3). Calculate the highest common divisor of 96 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539264849 rounded to the nearest 1000000?\nAnswer: 539000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from geeejejgejg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 3\/11, 0, 0.011?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 6018092.\nAnswer: -5\/3009046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10.5 and 1873.\nAnswer: 1862.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/7)\/((-6)\/21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*j = -58*j - f - 11, j - 3*f = 19. Let r be (-12)\/(-3) - (j + -24 - -7). Solve -r = -l - 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5178809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 5*t - 385. What is the second derivative of -192 + 99 - t*r**2 - 65*r + 93 wrt r?\nAnswer: -274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24564 - 16949. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/39, 2.6, -27, 15, 0.2?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9658 + 9659. What is the nearest to j in -6, 2\/7, 1, -2\/57?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16904 - -22591. Calculate the greatest common factor of 121 and v.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 12 = 2*f, -5*m + 0 = 3*f - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 707 - 293. Let x be f\/(-161) + (-8)\/(-14). What is the tens digit of 2*(x - -3)*137\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -2*b + 53. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -2221?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 38?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.18 (b) 1 (c) -1.65 (d) -4 (e) 2 (f) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -42251002 to the nearest 100000.\nAnswer: -42300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -4. What is the derivative of -j*w + 1 - 3 + 5 wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gow when three letters picked without replacement from {w: 1, o: 2, g: 4, e: 1, y: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*l + 52*l + 162686 - 1018058. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20000112000 (base 4) to base 8.\nAnswer: 10002600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1888 and 7\/590.\nAnswer: 9440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-4)*((-2600)\/(-275))\/(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1224*c**6 - 2*c**4 + 40*c**3 - 1088*c**2 + 117*c + 4.\nAnswer: 146880*c**3 - 48*c + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 369, 367, 363, 357?\n\"Answer: -b**2 + b + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a tonne in kilograms?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1315 * -0.64043.\nAnswer: 842.16545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z + 4. Let j(o) = 1. Let l(v) = 3*j(v) - p(v). Let t(r) = -r. What is -2*l(c) + 14*t(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -10615\/201057?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*k**4 - 87*k**3 + 39*k**2 + 3*k = 0. What is k?\nAnswer: -1\/15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16.8? (a) 1 (b) 31\/91 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1786 - 5870.1\nAnswer: -7656.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y**2 - 3*y - 6. Calculate s(3).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m**4 + 14*m**4 - 3 - 20*m**3 - m**2 - m + 30*m**3 - 11*m**3 + 5 as c + g*m**2 + t*m**4 + v*m + u*m**3 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 959.1 + 0.05\nAnswer: 959.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301 (base 12) to base 5.\nAnswer: -3213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119463?\nAnswer: 3, 39821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -123*j**3 - j**2 - j - 1. Let s(v) = -v**3 - v**2 - v - 1. Calculate 3*s(g) - 3*y(g).\nAnswer: 366*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 0.2, -4, 0.07, 7414?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (7 + 5) - 15?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*b - 4*b**2 - 4*b**2 + 77*b + b**2 + 101*b in the form w*b + p + o*b**2 and give w.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 5103.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - y - 11. Let n = -4 - -4. Let f be q(n). Is (f\/2)\/(5\/(-70)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = 4*t. Suppose -6 + 3 = t*r. Which is smaller: r or -2\/19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-44) + 30\/(-8). Put -5, 0.5, x in ascending order.\nAnswer: -5, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33451 by -11.\nAnswer: 3041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0407741956 rounded to 6 decimal places?\nAnswer: 0.040774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52943, -52960, -52977, -52994, -53011, -53028?\nAnswer: -53045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 2)*1*-2.\nAnswer: -16*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 12:02 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 390593024 to the power of 1\/2, to the nearest integer?\nAnswer: 19763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -528086, -2112357, -4752810, -8449445, -13202262, -19011261, -25876442?\nAnswer: -33797805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 834*k**2 - 2*k + 50 - 831*k**2)*(-2*k - 15*k + 2*k) to i*k + y*k**3 + j + s*k**2 and give i.\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/((-9)\/186). Solve w = 4*u - 3*z, -z - z + 6 = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ses when three letters picked without replacement from kskektcssstckkssks?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 104009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7510, -14958, -22324, -29584, -36714, -43690?\n\"Answer: 4*g**3 + 17*g**2 - 7527*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express x - 3775 + 6*x**3 + 3775 + 9*x**2 as s*x**3 + m*x + d + u*x**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i + 2662 = -32*i. Let n = 360 - i. Calculate the remainder when n is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 3, 2\/15, -76 in descending order.\nAnswer: 3, 2\/15, -0.02, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**(-1\/2)))\/(p\/(p*p\/p**2)*p))\/(p**(-1))**(6\/25))\/(p\/((p\/p**6*p)\/p)*p**(-6)\/p*(p\/(p*p**(-1)\/p))**(-4\/19)) assuming p is positive.\nAnswer: p**(153\/950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53\/180 + -2\/45. Suppose 417 = -3*o - 4*k, -2*o - 2*k + 7*k = 278. Let x = 143 + o. What is the third smallest value in x, f, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 7*h - 4. Let z be j(5). Let l(i) = -z - 8*i + 6*i + i. Let k(n) = -n - 7. Determine 5*k(f) - 6*l(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -252*q. Let t(k) = 213*k. What is y(t(v))?\nAnswer: -53676*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 298882957 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9*w. Let s(d) = 3*d**2 - 4*d - 4. Let x(k) = -8 - 6*k - 2*k + 6*k**2 - 1 - k. Let o(h) = -9*s(h) + 4*x(h). What is v(o(b))?\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97.58994 + 5.98726. Let c = y - -58.4315. Let m = 162 - c. What is m rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 v when three letters picked without replacement from {h: 1, v: 5, n: 11}.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/21 - (-287 - (63 + -47))\/((-21)\/(-3)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -14*r**2 + 1119*r - 13627. Determine f(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 12*w**3 + 66\/7*w**2 - 14*w**4 - 54 + 8\/7*w. Find g, given that b(g) = 0.\nAnswer: -2\/7, -1\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**2\/2 - 6*w + 135\/2 = 0.\nAnswer: -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 614*o - 89342. Determine x(236).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - ((-7 - (10 + -14)) + -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104 + 15423?\nAnswer: 15316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33219520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-34)*-2)\/((36\/135)\/((-151)\/755))\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.148 - 165.148. Let a = -164.99638 - r. What is a rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232239089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337636?\nAnswer: 2, 13, 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 - 40*s - 74)*(3 - 3 - 1)*(3*s - s + s)*(s - 3*s - 8*s).\nAnswer: -1200*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 22*q - 36. Let a be o(-2). Solve d - a + 0 = y, 12 = -2*y + 3*d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28\/3 or 974560?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 0 + 0)*(-6 - 18 - 18 - 2 - 2 - 2 + (5 - 3 + 0)*(7 - 2 - 3)) to the form r*t + w and give r.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*a, 0*a = -2*g - 4*a - 58. Let j = 28 + g. Suppose -3*f + j*u + 164 = 0, 2*u - 10 = -f + 30. 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: Simplify ((g*g**(-8))**32)**(-22) assuming g is positive.\nAnswer: g**4928","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q. Let a(k) = -55445*k**2. What is g(a(m))?\nAnswer: -110890*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 11*y + 126. Let v be k(-11). Sort -5, v, 2.\nAnswer: -5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -184, -622, -1474, -2878?\nAnswer: -4972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 473 * 126.4.\nAnswer: 59787.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y**2 + 91*y - 4. What is b(13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = -3*o + 4*j, 4*j - 1 = -3*o + 375. Let v be 14\/77 + (o\/22)\/2. Suppose -m = 5*u - 390, 0 = 5*u - v*m - 408 + 38. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + -2*((sqrt(42) - (sqrt(42) + 3*sqrt(2688)))\/(-2*(sqrt(6) + (sqrt(6)*2 - sqrt(6)))))**2 + -1.\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -21*y + 3. Let c(n) be the first derivative of -11*n**2\/2 + 2*n + 2. Let q(t) = -5*c(t) + 3*d(t). What is the units digit of q(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -22*a + 23\/18*a**3 - 529\/12*a**2 - 1\/72*a**4 + 2. Factor c(j).\nAnswer: -(j - 23)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.1249 take away 8.9?\nAnswer: -19.0249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*l - 79. Let d(o) = -8*o**2 + o - 1. Let y be d(1). Let s = y + l. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500 divided by -75?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2592?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 6*h + 25. Let g(w) be the first derivative of w**3\/3 + 5*w**2\/2 - 24*w + 4048. What is 6*g(x) + 5*s(x)?\nAnswer: x**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 11?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 51.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13728758539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2231062769 to the nearest integer?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31376788 by -4.\nAnswer: -7844197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -73?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.909203ug to milligrams.\nAnswer: 0.000909203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1046 - 830. What is the remainder when d is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*r**2 + 190*r**2 - 63*r**2 - 63*r**2 + 3.\nAnswer: r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 5*g**2 + 7*g + 9. Let o be v(-6). Find the third derivative of 6*r**2 - 7*r**o + 6*r - 6*r wrt r.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -104.5 + 105. Which is the nearest to 2? (a) s (b) 1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.015 - -0.885. What is g rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11502.76 to the nearest ten.\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 19 - 1 = 0. Let i be (1 + -4)*6\/(-9). Suppose -5*f = -i*h + 998, b*h = 4*f - 3*f + 2032. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p - 41*p + 4 = 0. Solve -z + 4*z + 5*o = -1, -p*z + 2*o = 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*a + 2304, 3*r - 884 = -a + 1438. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c + c)*(0*c - 3*c + 2*c) + (-4*c + 4*c - 8*c)*(c**2 - 2 + 23*c - 23*c).\nAnswer: -9*c**3 + 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = 3*t. What is the remainder when 7 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 167 + -227. Is -59 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*n = -1065 + 1947 + 1824 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -22 = -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -7, -1, 46, -2\/7 in decreasing order.\nAnswer: 46, -2\/7, -0.4, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2487583.13 - 0.4.\nAnswer: -2487583.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from {z: 11, u: 2, j: 4, t: 1, i: 1}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -170, -380, -674, -1052?\nAnswer: -1514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/45)\/((-360)\/400)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - -1 - (1 + -3). Suppose 95*m - 192 = 132*m - 69*m. Solve -4 = 2*v + 3*r, -5*v = -h*v + 5*r + m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*t + 19 + 12 = 0, 3*o - 26 = -5*t. Let i(l) = l**2 - 3*l. What is the remainder when i(6) is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005453182 to seven decimal places.\nAnswer: 0.0005453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700460.\nAnswer: 2, 5, 35023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -379*k - 521330 + 556956 for k.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0937093 to 4 decimal places.\nAnswer: -0.0937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -53b (base 16) in base 14?\nAnswer: -6b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 6*o**2 - 3*o**2 + (-4*o - 2*o + 5*o)*(o + o - 3*o) + 28 - 28 - 2*o**2 + 5*o**2 + 0*o**2 + o**2)*(-3 + 4 + 3).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1023528055 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3110 (base 10) in base 12?\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -194820 divided by 5\nAnswer: -38964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23079913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 2. Suppose 3*x - 5*w - y = 0, 4*x - 4*w - 3 = 1. Is -1\/36 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10926150 divided by -6\nAnswer: 1821025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkvkkvkkvmmkkkkkmk. Give prob of picking 1 v and 1 m.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 10:22 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 + 4*j**3 + 0*j**3 + (-j**2 + j - j)*(-4 - 2*j + 3 + 0).\nAnswer: 7*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 33 = -2*q + 3*q, 0 = -5*v + 3*q - 29. Let z(m) = -m**2 - 8*m - 5. Let f be z(v). Solve n = -f, -2*h - 3*h + 35 = -5*n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3699746, 7399479, 11099212, 14798945?\nAnswer: 18498678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b - b + 4*b**2 - 5*b**3 + 6*b**3 + 2. Let j(w) = w**2 - 4*w - 2. Let q be j(6). Let o = 5 - q. Give v(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + t + t - 175, -2*t + 105 = 3*u. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d - 36. What is l(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 14. Suppose 220 = 5*y + 5*z, y + t*z - 3 = 25. Suppose -3*r = -0*r - y. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 11:56 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 7. Suppose -5*y + 10*y = -u*i - 646, -y = -5*i + 106. Find the common denominator of y\/(-2)*1\/8 and -95\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 4*z**2 - 4*z - 1. Let w be i(5). Factor 3*a**w + 4*a**5 + 5*a**2 - 12*a**3 - 5*a**2 + 8*a - 4*a**2 + a**4.\nAnswer: 4*a*(a - 1)**2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 8:38 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 11:36 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 474768287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(-3)\/(-12)*-2. Let m be (-4*d\/52)\/(-1). Let j be 2\/(-4) + (-2)\/(-12). Which is the nearest to j? (a) m (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (77 - 62) + 2 + (1 + -1 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t - t)*(5*t**4 - 2*t**4 - 2*t**4) - 2*t**5 + t**5 - t**5 + 80*t**5 - 18*t**5 + 21*t**5.\nAnswer: 79*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c = -20. Suppose 14*d = 18*d - 152. Suppose -d = -7*t + 116. What is the remainder when t is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 - 115*m**2 + 1119*m - 139. Determine g(-66).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1806\/(-10) + 9\/(225\/(-10)). Let a = b + -56. Let c = a + 351. Calculate the greatest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**6*u)*u*u\/(u*u*(u\/((u**(-3)\/u)\/u))\/u)*u*u**(1\/3)\/(u*u**(-5\/6)) assuming u is positive.\nAnswer: u**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 13. Let a be h(-11). Let t(g) = g**3 - 3*g**2 + g - 2. Let f be t(4). What is the highest common divisor of a and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*m**3*o**2 - 6*m**3 - 3*m**2*o**3 + 3045*m*o**2 - 2*o**3 wrt m?\nAnswer: -42*m*o**2 - 36*m - 6*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 1072 = -2*m, -3*m + 807 = -6*d + 9*d. Let l = d + -265. Solve 4*p - 10 = -2*x, -l*p + 7*p = 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -477, -1582, -3721, -7236?\nAnswer: -12469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28156143 is divided by 1435.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*z + 32 = -5*a - 161*z, 9 = -3*z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 8:53 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 = 4*s. Let f be ((6 - 3) + -3)\/(s + 0). Let b(r) = 2000 + f*r - r - 2002. Determine b(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 16 - 54 - 42 + 16 + 6*n. Let f be w(-3). Suppose 18 - 99 = i + y, -i - 79 = 2*y. Do i and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3468.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55445 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9722059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000071173 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 <= -8217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 2*r**2 - 2 + 5 + 7*r. Determine q(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 s when four letters picked without replacement from ucuzddsddcdszdzsdud?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, d: 1, a: 5, h: 1, r: 5}. What is prob of picking 1 a, 2 w, and 1 r?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 169 + 430 = 163. Let v = 1 + 1. Calculate the lowest common multiple of n and 3\/(-6) + 29\/v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(8\/5)*x*x**(-5)\/x)**(-40)*(x**(-2\/11)\/x**(-1\/4))\/((x**(6\/7)*x*x)\/(x*x*x**(-3))) assuming x is positive.\nAnswer: x**(40721\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgxgxxgxgg. What is prob of sequence gxx?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 33. Determine z(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.185256 to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 4, -27, -78, -149?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -128459 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -176, -197, -222, -251?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/4192 and 69\/152?\nAnswer: 79648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 655*y - 3 - 124*y + 3.\nAnswer: 531*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 = 2*w + 2*c, 4*w - c - 17 = 0. Let z = -11493\/5 + 2301. What is v in -z*v**4 + 28\/5*v**2 + 0*v - 4\/5*v**w + 4\/5*v**5 - 16\/5 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - b)*(75*b - 2*b**2 - 122*b + 136*b).\nAnswer: 2*b**3 - 89*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*p + 175251 + 76507. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132.6 + 131.8. Which is the smallest value? (a) k (b) -0.05 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/8316 and 68\/8217.\nAnswer: 690228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(832) + 2 + sqrt(832))**2.\nAnswer: -32*sqrt(13) + 3329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 52467*d**2 + 52464*d.\nAnswer: 3*d*(d - 17488)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3430*z**3 + 7731*z**2 - 15*z - 3. Let u(q) = 3431*q**3 - 7730*q**2 + 20*q + 4. Let f(a) = 4*j(a) + 3*u(a). Find the third derivative of f(v) wrt v.\nAnswer: -20562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 70179036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-14)*16*1*55\/(-55)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19 + 86*h**3 - 36*h**3 + 30 + 17 wrt h.\nAnswer: 150*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 5*t = -11*n + 10, -3*n = 3*t - 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.91 + -13. Let g = 2.09 + v. Which is the biggest value? (a) g (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130239, 130664, 131869, 134244, 138179, 144064, 152289?\nAnswer: 163244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66402, 66430, 66458, 66486, 66514?\nAnswer: 66542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/22 or 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from {j: 1, d: 1, w: 2, h: 2, i: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1471 + -1378 + -50 + -4?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 8, -q - 131 - 109 = 5*y - 318 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41190525 and 208575.\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1477784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*v + 14*v = -414 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 5*q - 5*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-8)*(-8 + 0). Let q be (8\/140)\/(o\/(-29)). Let r = q + -2\/35. Sort 0.4, 2\/13, r in increasing order.\nAnswer: r, 2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16, -53, -110, -187?\n\"Answer: -10*f**2 - 7*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3481951\/1966224 - 2\/40963. Let o = 7\/16 - n. Let z = 0.4 + -0.3. Which is the nearest to z? (a) -2 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = v + 16, 0 = 564*v - 569*v + 8*f - 80 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 51287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3783, 14964, 33615, 59736, 93327, 134388?\nAnswer: 182919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.9 + -33.3. Let m = 6.39999904 + z. Round m to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**4\/2 - 3632585*u**3\/2 + 2199278358273*u**2 - 887672730964937398*u - 887674930245111964 = 0.\nAnswer: -1, 1210862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010259485 rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/2 + -1)\/2. Let w be d\/(-2) + 3\/(-6). What is i in -15 - 4*i**2 + 0*i**w + 5*i + 13 + i**3 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/267 + 545\/2937. Put 1, 13\/2, q in decreasing order.\nAnswer: 13\/2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-26)\/(-6)*-1*4 and 110\/36 - 7\/14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/5))**22\/((c**(-2\/5)\/c)\/c)**40*(c**(-2))**19*(c*((c\/((c\/(c*c**(1\/4)*c)*c)\/c))\/c)\/c)\/(c**4\/c) assuming c is positive.\nAnswer: c**(1741\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 390?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394498?\nAnswer: 2, 13, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496*d + 505*d - 13221 = 0. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -25. Which is the smallest value? (a) t (b) 1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*v - 18 = 0, c + c - 4*v - 2 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28, 22, 16, 10, 4, -2?\n\"Answer: -6*f + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85386512?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/(10*(-5)\/50).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*d - 5*o = 475, 0 = d + 4*o - 90. Let y = d + -41. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.8 times 0.22\nAnswer: -2.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 a factor of 33179175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 15. Let m be -5 - i - (0 - 0). Sort -4, m, -2.\nAnswer: -4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1603.\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 0*g = g + 10*o - 25, -6*o + 639 - 621 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27790.\nAnswer: 2, 5, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 < -72506406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -18 + (-95 - -101 - (5 + -1))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 6*i**2 - 5*i**2 + 2*i**2. Let f be q(-1). Suppose -f*l + 22 = -4*b - 34, -4*l - 3*b = -91. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*k + 3425, -3*k - 1022 = -3*c - 6137. Let y = -703 + k. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*w + 34, 5*w + 4*g - 35 = 2*w. Let o = w + -4. Solve -2*k - k + 12 = -3*q, -o*q - k = 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 66*q - 66*q + q**2. Let s(f) = 9*f**2. Give h(s(i)).\nAnswer: 81*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1748 * -1277.7.\nAnswer: -2233419.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.118550622 - 0\nAnswer: -0.118550622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 15 = 3*s, -12*s + 8*s + 20 = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1170 and -8.7.\nAnswer: 1161.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*1540\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 15 = -2*f, f - 3*z = -2*f - 36. Let a = 11 + f. Solve -2*k + 2 = -a*x, 5*k - 11 = -x - 0*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876865949?\nAnswer: 876865949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**17\/m)\/((m*m**(-25)*m)\/m)*m**(-1\/42)\/((m*m**(-25))\/m) assuming m is positive.\nAnswer: m**(2729\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 95 or 28?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2964\/31 - 14076\/155. Determine w, given that 2\/5*w + 24\/5 - 2\/5*w**3 - x*w**2 = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843 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: b\"What is the wth term of -5957861, -5957840, -5957819, -5957798, -5957777, -5957756?\n\"Answer: 21*w - 5957882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2543*r - 94962 = -262800 for r.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, i: 3, t: 1, j: 3, a: 1, u: 3}. What is prob of picking 1 j and 1 t?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -155*c + 1862. Let g be z(12). Sort -2, -331, g in decreasing order.\nAnswer: g, -2, -331","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34519.\nAnswer: 34519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 12*b + 33. Let k be c(12). Let t be (3\/(-5))\/(k\/(-110)). Factor -6\/7 - 1\/7*a**t - 5\/7*a.\nAnswer: -(a + 2)*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1077*a + 605. Is w(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25776722*l**3 - 659*l**2 - 8741*l wrt l.\nAnswer: 154660332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (42\/(-9))\/(2 + 1392\/(-684)). Calculate the highest common factor of a and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3078 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -7*n + 183350, 4*w + 78531 = 157*n - 154*n. Is 62 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21873830.7 minus -51?\nAnswer: -21873779.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 5:37 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35574462 to the nearest integer?\nAnswer: 5964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1281, 0.3, 0.1, 6, -13 in increasing order.\nAnswer: -13, -0.1281, 0.1, 0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 4*q**2 - 3*q**2 - 6*q**2 - 5*q**2 + 4*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 0) + 0\/1. Let r = -19 - -14. Let b be (0 + 1 + r)*1. Sort b, 5, j in decreasing order.\nAnswer: 5, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25056 rounded to the nearest one hundred?\nAnswer: 25100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 403971?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2636556, 2636560, 2636564, 2636568, 2636572?\nAnswer: 2636576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (43 + (40 - 98))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8852883 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*a*m**3*v + 8*a*m**2*v + 2*a + 123*m**3*v + 2*v wrt a?\nAnswer: -3*m**3*v + 8*m**2*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1120?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3163 + -221457\/70. What is the common denominator of 1\/8*-5 - (-496755)\/(-201096) and d?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 138\/((12\/15)\/(8\/(-20))). Is m\/(-21) + -3 + (-1668960)\/(-224) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {v: 4, l: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 0*r**3 + 0 + 0*r + 1\/24*r**4 + r**2. Let f(i) = -i**2. Calculate f(z(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73762 and 201292.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + 5*a**2 - 18*a**2)*(6 - 1 - 3).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 921 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/6)*o)**(-28)\/(o*o*o\/((o**(5\/3)*o*o)\/o*o)*o)**45 assuming o is positive.\nAnswer: o**(-115\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59.189 and 0.04.\nAnswer: -2.36756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77 or 444?\nAnswer: 444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - 2*b**2 + b**2 - 21*b + b**4 + 21*b - 20 + 2*b**2 to q*b**2 + k + z*b**4 + n*b**3 + r*b and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9238736959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2778*s + 2776*s - 3*i + 33, s + i - 14 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - y - 5 = y, -11 = -3*r + 5*y. Let s = r - -12. Calculate the remainder when 17 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 112552?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 6\/43, 0.1, -4, -3 in decreasing order.\nAnswer: 6\/43, 0.1, 0.01, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 31 = -5*o + 11, -4*o - c = -20. Suppose 5*y - 5*y = -o*y. Solve 0 = -2*v - w, y - 8 = -4*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 - 2063 - 2421 - 34 = -142*c for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 2, j: 8, s: 6, k: 2, t: 1}. What is prob of picking 1 j and 1 k?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 - -9)\/((-45)\/1098). Which is smaller: 1590\/13 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 15*g = -26. Suppose -18*i = -g*i - 10. What is the third biggest value in i, 17, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 9*u**4 - 2330058*u**3 + 40385163*u**2 - 50481258*u + 12426144 = 0.\nAnswer: 1\/3, 1, 16, 258878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 273682 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5122 is divided by 624.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 536 = t, 1320 = 2*n + 2*t + 240. Calculate the highest common divisor of n and 27169.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38469005477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = p - 4, -5*p - 2*z + 10 + 10 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.4, -2\/13, 5, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((27\/3)\/63)\/((300\/15)\/1)\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.18 in 4\/13, -0.1, 0.03, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3582 and 131340.\nAnswer: 394020","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.16, -0.59, 0, 5\/3, 6?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3479 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -93 and -0.15.\nAnswer: 13.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1223562 and -0.44319?\nAnswer: 1223562.44319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 10*d - 1 + 28 = -0*c + c, 3*c + 34*d = 192 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**2 + 174852*v - 349708 = 0.\nAnswer: -174854, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 197*r + 197. Let d(o) = -2*o - 1. What is 3*a(n) + 591*d(n)?\nAnswer: -591*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*k**5 - 2*k**6 + 8*k**5 + 9*k**5 - 3*k**2 wrt k?\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + i + 92 - 272, 5*r + 4*i - 897 = 0. What is the remainder when 201 is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 155*x + 7 = 151*x, -5*x = 3*d + 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(1\/4)*f*f*f\/(f\/f**(-5\/2)) assuming f is positive.\nAnswer: f**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*m**2*s + 74*m**2 + 80582*m + s + 84316148 wrt m?\nAnswer: 6*m*s + 148*m + 80582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-280)\/770*(2 + (-45)\/6). Let h = 212 - 58. Suppose -3*a - h = -i*q, q + 9*a - 4*a - 90 = 0. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7454201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15261820 - 1.8.\nAnswer: -15261821.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 0*l**2 + l**2 - 2*l**2 - l**2 - 7. Let c(m) = 2*m**2. What is j(c(x))?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -0.0205?\nAnswer: -0.2665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(612) - (1 + sqrt(612))) - sqrt(612) - (2 + 1*sqrt(612)))**2*1 - -4*(sqrt(1377) + 2*((sqrt(1377) - (sqrt(1377) + -1)) + sqrt(1377))**2 + -4).\nAnswer: 204*sqrt(17) + 13457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4307870?\nAnswer: 2, 5, 7, 19, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -4 in decreasing order.\nAnswer: 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31671?\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1077\/2 - 550. What is the common denominator of b and 25\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 164.6 + -148. What is the nearest to -1 in 2\/5, -1, -0.2, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 1. Let r be z(1). Solve -15 = 4*j - r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 168 or -4079?\nAnswer: -4079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 6:45 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(158\/(-54) + 3). Let g = o + -135. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 71*d - 159. Let j(w) = -2*w**2 - 132*w - 319. Calculate -6*j(n) + 11*k(n).\nAnswer: n**2 + 11*n + 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.868 + 0.013965005.\nAnswer: -1.854034995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23623 - 7?\nAnswer: -23632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -97 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 + 15*y - 1. Let u(w) = -2*w**2 - 8*w + 1. Let r(i) = -4*h(i) - 7*u(i). Is r(5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(4\/7)*w)**(2\/65))**15*(w\/w**(1\/5))**42\/(w\/w**(2\/9))**50 assuming w is positive.\nAnswer: w**(-16798\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/45 + 20\/15.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 - 8\/((-24)\/(-7)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/934 and (23 + (-870)\/36)*(0 - -39).\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1895, -3786, -5677?\nAnswer: -7568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*n + 14 = 5*o, 5*n + 2*o = 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 746.0414 minutes?\nAnswer: 44762.484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = 25 + 29. Is ((-18)\/27 + (-14947)\/x)*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 17*t + 11.\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11224 and 13664?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 12:42 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = t + 5*y, t + 2*y = -y - 10. Let m = 18 + t. Solve -m*r = 4*l - 6, r + 2*l = -r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*(-2 + sqrt(180)*-1 + sqrt(180) + (sqrt(180) - (2*sqrt(180) + -2))) + -3))**2.\nAnswer: -576*sqrt(5) + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 + 0*f**2 - 3*f**2. Let s(k) = 1 + 533280*k**2 - 533273*k**2 - 1. Determine s(a(m)).\nAnswer: 175*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-113)\/(-9) + (-272)\/(-612). Let i(p) = -p**2 + 28*p - 184. Let v(j) = -j**3 + 4*j**2 - j + 5. Calculate the least common multiple of i(o) and v(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1388875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 429 and 1155?\nAnswer: 15015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -0.5 (b) -6\/11 (c) 4 (d) 1\/9 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 > -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 223154404 + -15?\nAnswer: 223154345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**5\/30 + 5*z**4\/24 - 5*z**3\/6 - 4*z**2. Let i(f) = -f**2 + 3*f - 3. Determine 3*g(w) - 5*i(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797565068.\nAnswer: 2, 59, 3379513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 910.1086 weeks in hours?\nAnswer: 152898.2448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*a = 161*a + 603. Calculate the remainder when a is divided by 38.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/4 of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 + z**2 + 9*z**2 + 4*z + 2*z**2.\nAnswer: 15*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85 and (3 + (4732\/8)\/(-13))*-4?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*t. Suppose -4*o = 3*o - 28. Suppose -o*b = -t*b + 4*n - 132, 2*b - 62 = 2*n. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 3:52 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 149223879 and 696.\nAnswer: 1193791032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 10:04 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -609 divided by 29\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100853 divided by 1.\nAnswer: 100853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4, -0.74, 130\/9, -125\/9 in ascending order.\nAnswer: -125\/9, -0.74, 0.1, 4, 130\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -28761804532+-0.5\nAnswer: -28761804532.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163156525?\nAnswer: 5, 7, 53, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -67, 5 in decreasing order.\nAnswer: 5, 3, -4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 - 64*q**2\/5 - 2048*q\/5 + 65536\/5.\nAnswer: 2*(q - 32)**2*(q + 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 163797 - 20146883\/123. Let r = 9463\/2460 + n. Find the common denominator of r and 41\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425, 847, 1269?\nAnswer: 1691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) -2\/13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/(2\/12). Let o be 2 + 51\/(c - -2). Let t be (-52)\/494*-19 - 1*3. Put o, t, 2, -4 in descending order.\nAnswer: 2, t, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31645303 or 31645293?\nAnswer: 31645303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 833 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 7*x + 7. Let y be 8\/36 - 4\/18. Suppose y = 5*o - 0 + 30. Let w be (o + 8)\/((-4)\/10). What is d(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -81 - (-22 - -33 - 33)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15\/61 (b) 2\/7 (c) 1\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -434, -384, -302, -188, -42, 136?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 6. Let i(c) = -32*c + 1. Let l(k) = 153*k - 5. Let f(w) = -20*i(w) - 4*l(w). Calculate r(f(d)).\nAnswer: -1568*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 33 - 55 = 2*r, 3*n - 11 = 4*r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-54)\/15)\/(6\/(-40)). Suppose 26*h - 4 = q*h. Suppose h*n = -3*n + 805. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxyx when four letters picked without replacement from {x: 4, d: 2, m: 1, r: 1, w: 1, y: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/15)\/((-10)\/25). Suppose w*b + 14 = 10. Round b to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.5 + 3. Let k be (12\/(-9))\/4*15\/20. Which is the closest to -0.1? (a) 4 (b) k (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2262)\/(-208))\/(5*(-9)\/30)?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2150, 2130, 2100, 2054, 1986, 1890, 1760, 1590?\n\"Answer: -k**3 + k**2 - 16*k + 2166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1262814?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -160, -166, -174, -184, -196?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58949?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(130) - (sqrt(130) - sqrt(130)*1))*-2 - sqrt(130)))\/(sqrt(90)\/(sqrt(1008)\/sqrt(7))).\nAnswer: 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 21*c**2 + 20*c - 10. What is l(-20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.85, -3, 0 in increasing order.\nAnswer: -3.85, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-10) + (-58 - 1). Let h be (-24)\/p - (-8)\/5. Sort h, 0.1, -0.3 in ascending order.\nAnswer: -0.3, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 9\/2)*-2. Suppose 0 = n*r - 100 - 245. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.0612?\nAnswer: 0.01224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**3 + i**2 - 3*i - 1. Let x = -1203 - -1201. Calculate w(x).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15\/26 + -29\/130. Let r = -2\/1293 - -74134\/1293. Let t = -58 + r. Put 0, n, t in increasing order.\nAnswer: n, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1926\/12)\/(-5 - (7 + -9))*-10. Calculate the highest common factor of b and 3852.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.462 - 0.492. Sort -21, 2, x in ascending order.\nAnswer: -21, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 515*l**2. Let k(s) = 753043*s. What is h(k(g))?\nAnswer: 292042986322235*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2 - 3*n + 17. Let q be r(-25). Suppose 40*x - q = 16*x. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*p + 1 - 4, 4*p = 5*j - 78. Suppose 5*i + d - 24 = 3*d, 4*i - j = d. Solve -3*n = -5*n + i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1309 is divided by 465.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 19. Let c(i) = 161*i**2 + i - 16. Give r(c(v)).\nAnswer: 322*v**2 + 2*v - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -646*n + 4*q - 4496 + 11239 + 2967, 25 = 3*n + 4*q for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4003439a6 - 0?\nAnswer: 4003439a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016833 rounded to 5 decimal places?\nAnswer: -0.00168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 186139.9 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2932668 and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v**(-1\/45)*v)*v**(-22)\/v*v assuming v is positive.\nAnswer: v**(-944\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from {f: 7, y: 2, l: 1, i: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1752571 micrometers to meters.\nAnswer: 0.0000001752571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-47)\/(-3))\/(1\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 93 + 13*u**2 - 93 + (u + 0*u + 2*u)*(-3*u + 3*u + 2*u + (-3*u + 2*u - u)*(6 - 4 + 0) + 4 - 4 + u).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 8*i. Let h be o(-8). Solve 2*q - 3*q = h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**4\/54 - 4*l**3\/3 - 13*l**2 - 2*l - 230. Factor o(u).\nAnswer: 2*(u - 39)*(u + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**5\/240 + z**4\/24 + z**3\/6 - 3*z**2 + 24*z. Let y(m) be the first derivative of s(m). What is i in y(i) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30, 545, 2660, 7263, 15302, 27725, 45480?\n\"Answer: 158*o**3 - 178*o**2 + 3*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2 + 48*x - 2346. Determine f(-27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -689267443464.3 and 4.\nAnswer: -689267443460.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3948 is divided by 64.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**6\/6 - 11*x**5\/4 + 5*x**4\/4 + 155*x**3\/6 - 55*x**2 - 152*x. Factor m(f).\nAnswer: -5*(f - 1)**2*(f + 2)*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 24. Let a be y(19). Sort -2\/5, 2, 9, a in increasing order.\nAnswer: -2\/5, 2, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 12*d**2 - d - 1. Let q = 1 - 2. Calculate the remainder when 33 is divided by t(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1306 (base 7) to base 9.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 7784.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1514 times -0.2\nAnswer: 0.03028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*q - 7*q - 2*q - 18*t + 44, -2*q - 4*t - 12 = 0 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvj when three letters picked without replacement from jlvl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + (-7 - -6) - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 50399*b**2 + 3*b - 2. Let y be q(1). What is y rounded to the nearest one thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13133400 divided by -2188900.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28700*d**2 + 100490*d**2 - 23386*d**2.\nAnswer: 105804*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 - 60*a - 588. Calculate d(-11).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -36. Let a(j) = 5*j - 20. Let o be a(x). Solve -o*r - q + 25 = q, -1 = 3*r - 2*q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -3. Suppose -4*h = h + 4*r - 220, p*h = 4*r + 132. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 420?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 2:18 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5986794 - 4.\nAnswer: 5986790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 13*m. Let r(f) = -809*f**2 + f. Determine r(j(y)).\nAnswer: -136721*y**2 + 13*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0846 - -72.2846. Let y = m - 62. Let p = -10 + y. What is the nearest to -1 in -3\/7, p, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1861439901.\nAnswer: 3, 620479967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40832 by -4.\nAnswer: -10208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 178712 and 803848?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 231*b - 230*b + 7, -109*b + 108*b = -38*k - 141 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkfk when four letters picked without replacement from {f: 1, c: 1, k: 1, i: 1, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000510815417 rounded to 7 dps?\nAnswer: -0.0005108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6432 and 20355.\nAnswer: -130923360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 + -62. Let j be 9\/(15\/(-200)*l). What is the highest common factor of j and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/((z*z*z**(-2\/3))\/z*z))\/z)**(21\/2)\/(((z*z**(-2\/7)\/z*z)\/z)\/(z**(3\/4)*z)))\/(z**9\/(z**10\/z))**(8\/3) assuming z is positive.\nAnswer: z**(-41\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 195 in descending order.\nAnswer: 195, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**4*m - 253*i**4 - i*m + 26*i - 2*m wrt i.\nAnswer: -24*i**2*m - 3036*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 9 = 2751*d - 2752*d, -4*h - 3*d = -8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-249)\/(-498)*11*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4162530?\nAnswer: 2, 3, 5, 89, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*m + 33, -3*x - 2*m + 0*m = -33. Solve x = -3*j + l, -2*j + l = -1 + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1136209?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -2*k + 5184. Let m be (k\/(-140) + 4)\/(2\/5). What is the closest to m in 2\/11, 1\/2, 2\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i - 6. Let w(g) = -3*g + 6. Suppose 3*z = -2*o + 16, -2*z + 8 = 4*o - 8. Let m(b) = z*n(b) + 5*w(b). Determine m(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-1) + 6 + -4. Let m(n) be the third derivative of 0 + 0*n + p*n**2 - 1\/8*n**4 + 1\/40*n**6 + 1\/20*n**5 - 1\/2*n**3. Factor m(w).\nAnswer: 3*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*q + 31. What is the greatest common factor of q and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - g - 1. Let i(l) = -4*l**2 - 2*l - 2. Let j(v) = -3*i(v) + 6*r(v). Let u(s) be the second derivative of -s**4\/6 + 9*s + 4. What is u(j(f))?\nAnswer: -72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l**2*y**2 + l**2 + 464*l*n**2*y**2 + 7*l - 1307*n**2*y - 3*n**2 + 269*n*y**2 + 2*n*y wrt y.\nAnswer: 8*l**2 + 928*l*n**2 + 538*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**5\/30 - 2*u**2. Let k(o) be the first derivative of o**3 - 3. Calculate k(j(g)).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184123 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8100 + -7878. What is the remainder when z is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5032487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 37910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 358992825?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8576 and 25728.\nAnswer: 25728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 173 = -3. Suppose -d*w + 3*w = -5575. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q + 165*q - 1081 - 1131 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*w + 72 - 583 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*u**4 - 1041306*u**2 + 171497847*u.\nAnswer: -516*u**2 - 2082612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 344161944 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 6:12 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 90 = -231. What is the remainder when p is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 4*l**4 + 2*l - 20 - 2 as p*l**3 + a*l**4 + y*l**2 + s*l + k and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 10229678 = 5*p - 3*p, 2*p + 10 = 0. Suppose 12*y + 11631642 = y. Let s = y + l. What is s rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + o + 22 = a, 0 = -4*a + 4*o + 24. Suppose 4*d - 37 = 5*f, -1 = 3*d - a*f - 30. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.9 - 2.9. Let w = -38.9999855 + v. Round w to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166781189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - (-19 + (-29 - -100)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1)*(-10*i + 3*i - 6*i)*(-3 + 3 - i**2).\nAnswer: 26*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.5 (b) -1167 (c) 5 (d) 1 (e) 6\/13 (f) 0.076\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -41*y**2 + 4*y - 76. Let p(s) = -41*s**2 + 3*s - 67. Give -3*k(c) + 4*p(c).\nAnswer: -41*c**2 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*h)*(h - 4*h + 2*h + (2 + 1 - 4)*(0*h - 2*h + 0*h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*b**3*o**2 + 2*b**3*o*w + b**2*o**2*w + b**2*o*w - 58*b*w + o**2 wrt o?\nAnswer: -50*b**3 + 2*b**2*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.27 - -0.03. Let f = 185\/44 - 38\/11. Let s = -28 - -24. Put f, s, k in decreasing order.\nAnswer: f, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 33. Let q = p + 20. Let x = q - 1. Sort x, 1, -1 in ascending order.\nAnswer: x, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) + sqrt(170)\/sqrt(160))) + (sqrt(17) - 1*sqrt(17)) + -5.\nAnswer: -5 - sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 6*d**3 + 0*d**3.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/52 - (-41)\/164?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -175 and -9178.\nAnswer: 1606150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -114*s**3 + 15*s - 3. Let u(o) = -76*o**3 + 9*o - 2. Let h(y) = 5*f(y) - 7*u(y). Find the second derivative of h(k) wrt k.\nAnswer: -228*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1013, 5 in descending order.\nAnswer: 5, -5, -1013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 10?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4554 divided by -23?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/5)\/(1\/5). Let v = 1 - z. Suppose -3*s + 9*h - 4 = 4*h, -3*s + v*h + 6 = 0. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 51*c**2 + 217*c - 160. Let t be n(-55). Solve 5*i - 11 = 4*k, 22 = -t*i - 3*k + 40 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1488 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-484))\/(2\/4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1105 = 3*x + 1018. Solve 0 = -6*s - 1 - x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -757*a**3*k**3 - a**3*k - 2*a*k**3 + 238*k**2 wrt k?\nAnswer: -4542*a**3 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**4\/8 - 19*y**3\/6 - 5*y**2. Let a be u(-8). Suppose x + 5*n = 249 - 48, -3*x + a*n = -563. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 28 = 14*c, -2*c - 4 = -1739*g + 1741*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 29*l + 1780. Give m(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2 - 14*f - 5 + 2.\nAnswer: -14*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 44. Let z = 67 + v. Suppose 5*a - z = a. What is the remainder when a is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 7:17 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*k**2 - 2*k**5 - 4*k**5 + 11*k**5 + 50*k**4 - 4*k**5 wrt k.\nAnswer: 60*k**2 + 1200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -31, 0 in decreasing order.\nAnswer: 2, 0, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 24*p - 15 = -19*p, 3*q - p = 9. Put q, 69, -13 in ascending order.\nAnswer: -13, q, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -1256.\nAnswer: -1256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 476742 and 2.\nAnswer: 476742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108354 is divided by 6373.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -2*s - 27. What is the remainder when s is divided by (-8 + 124\/8)*(-14)\/(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 83.96.\nAnswer: -251.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 9 + 2 + 11)*(2629*p**2 - 1555*p**2 - 1590*p**2).\nAnswer: 1032*p**3 - 2064*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7124 and 17536?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Suppose 10 = -2*x, -5*n - 8*x + a*x - 10 = 0. What is the units digit of (-1 - 2)\/((-1)\/n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26387 divided by -9281?\nAnswer: 26387\/9281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2305403 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 14 = 2*d, 2*d = 4*m - 948 + 930 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34930 is divided by 695.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10320 is divided by 1717.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8256 and 384.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30345, 30158, 29849, 29418, 28865?\nAnswer: 28190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -682, -642, 764, 4220, 10410, 20018, 33728?\nAnswer: 52224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2114*a + 41692 - 93669 = 101623 + 19748 for a.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14559587165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -200 + 255. Suppose -4*q + 8 = 3*i, -51*i + z*i = 4*q - 8. Solve -q*v - 1 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33, -833, -3477, -8787, -17651, -30957, -49593, -74447?\n\"Answer: -148*g**3 - g**2 + 173*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 4, o: 3, t: 2, m: 1, c: 1}. Give prob of sequence tmt.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20843 - 11458. List the prime factors of d.\nAnswer: 5, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2558 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2 + 13*w - 33. Suppose 0 = -0*u + 5*u + 110. Is v(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17791 (base 11) to base 5\nAnswer: -1244110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -805371, -1610762, -2416159, -3221562, -4026971?\nAnswer: -4832386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 630 = -8*k. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 - 1872*o + 2*o**3 + 1880*o - 8*o**3 - 6 - 12*o**2. Let i(b) = b**3 + b**2 - b + 1. Give h(y) + 8*i(y).\nAnswer: 2*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/21 and -34\/69.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -17*w + 13*w. Suppose -3*f - w = 3*o - o, o + 5*f = -13. Solve 5*x = k, 4*k = -o*x - 3*x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 235, 234, 233, 232, 231?\n\"Answer: -k + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878123460.\nAnswer: 2, 3, 5, 443, 33037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1786, -0.03, 1\/2, -4, 0.4, 2 in decreasing order.\nAnswer: 1786, 2, 1\/2, 0.4, -0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -7*z + 91, -5*q - 50 + 24 = -2*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57149176?\nAnswer: 2, 7, 971, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11266 - 11265.2. Which is smaller: 154 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-6) + 246915\/162 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 582217011 to the nearest integer?\nAnswer: 24129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, o: 1, e: 5, u: 1, i: 3}. Give prob of picking 1 z and 1 u.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (3 - (-4 - -3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3837\/533 or 6?\nAnswer: 3837\/533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**3\/3 + 3*i**2 + 4*i - 12. Let p be l(-7). Let d = p - -41. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 5 = 2*f - 3, -5*r = -f + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3583327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16997 + 21921. What are the prime factors of k?\nAnswer: 2, 11, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567755 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 (-7)\/((-3 + 6)\/(-111)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 9*s - 8. Let n be g(10). Factor 0*r - 3*r**3 + 7*r**3 - 12*r**n + 16*r - 4*r**2.\nAnswer: 4*r*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwxiill. Give prob of sequence xw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 334 + -337. Sort v, 0, -1\/38 in increasing order.\nAnswer: v, -1\/38, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/15 or 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 15 + 2*q - 7 - 8. Let t(j) = -5*j. Calculate t(s(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**10\/((z*z**(-3\/2))\/z))**9)**33 assuming z is positive.\nAnswer: z**(6831\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51*b**3*v + 58086259*b**3 - 5*b**2*v - 1617*b*v - 2*v wrt v.\nAnswer: 51*b**3 - 5*b**2 - 1617*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2104?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 541315 and 84986455?\nAnswer: 84986455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -141\nAnswer: 28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**5\/60 + j**4\/6 - 19*j**3\/18 - 4*j**2 - 26*j + 11. Factor v(f).\nAnswer: (f - 3)*(f + 1)*(f + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1457*p + 1203*p - 2648*p - 2362*p - 2470*p to the form w + k*p and give k.\nAnswer: -7734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/468 and 155\/1188.\nAnswer: 15444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i**2 + i - 1. Let j = -5 + 7. Suppose 4 = -j*d + 2*m, 0 = 4*m - 0*m - 12. Determine h(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 7 + 3. Suppose -3*l = -4*v, 0 = -0*v - s*v - 3*l. Is -2\/111 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 587 - 337*v**3 - 786*v**3 - 587)*(-5*v**2 - 5 + 5).\nAnswer: 5615*v**5 - 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 5\/2, -1.9, 1\/6?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180771561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 185445 by 585.\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1046 + 1054. Let u(q) be the second derivative of -q**4\/12 + 5*q**3\/6 + 5*q**2\/2 - 41*q. Determine u(z).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 5:43 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + s + 11 = 3*q, -9*s + 14*s - 7*q + 2*q - 3 = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 751609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10 + 1 - (12 + (-17 - 236)). Calculate the greatest common divisor of x and 1740.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18486491 to the nearest ten thousand.\nAnswer: -18490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - v = 0, 4*w - 17 = 61*v + 1 + 39 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27205 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50995026?\nAnswer: 2, 3, 73, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204\/9*15\/(-20) - -19 and (1 - (-10)\/(-6))*-33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -293*n - 669 - 503. Which is the fourth smallest value? (a) 44.5 (b) 2\/3 (c) -0.3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40163 is divided by 12991.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3101 (base 4) to base 5\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 3. Put p, 0, 3 in decreasing order.\nAnswer: 3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 0.5, 10\/193, 6, -0.12?\nAnswer: 10\/193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -78673848*-1\nAnswer: 78673848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/52, 0.2 in descending order.\nAnswer: 0.2, -3\/52, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2816 - -2840. Suppose -6*m + 33 = -147. Calculate the highest common divisor of w and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 9. Let h be m(6). Let y be (h\/(-2))\/((-2)\/1772). Suppose -x - y = -4*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/1)\/(56\/(-7) + -1). Let m be (12\/14 - 1)\/(-1). Which is the nearest to 1\/3? (a) -5 (b) m (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/150)\/((-787)\/(-137725))?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j + 55. Give g(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34740 is divided by 34361.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 356*d**2 + 1704*d**2 - 29*d**2 + d + 2.\nAnswer: 2031*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45.1 - 45. Let h be ((-1)\/3)\/(1\/(-7)). Put h, q, 1\/5 in descending order.\nAnswer: h, 1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 13*j - 12. Let c be z(6). Is 721 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 4*v + 10. Give g(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.092 + -204685.908. Let s = -204750.0045 - p. Let a = 41 + s. Round a to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 10*o + 116 = 0. Suppose -2*p - o = -61. What is the remainder when 18 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*k + 30 = -4*k - 2*l, 4*l + 25 - 13 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = o + 21, -2*o - 10*v - 1506 = -1456 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 16640 = -2*b - 16648, 3*b + 9 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**4 + k**3 + k**2 - 2. Let u(a) = 3*a**4 + 28*a**3 - 42*a**2 - 104*a + 188. Let i(d) = 2*b(d) - u(d). Factor i(r).\nAnswer: (r - 24)*(r - 2)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 10:09 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1*1)\/(4\/(-88)). Let m be (-6)\/33 + (-62)\/a. List the prime factors of -5 + 3 - 39\/m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 336\/53, 0.3 in descending order.\nAnswer: 336\/53, 0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/273266 and -40\/7807?\nAnswer: 2133387662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-14)*(-133)\/(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3*-2*(-10)\/40. Let r = 5\/12 + c. Let o = 3 - 4. What is the third biggest value in -0.5, r, -2\/7, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*-1*15\/20 + -1. Which is the closest to 1? (a) t (b) -1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45644551?\nAnswer: 71, 642881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*1*-6 + sqrt(119))\/(sqrt(112)*-3))**2.\nAnswer: 425\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - 148\/(-12) - (-2)\/(-6). Let q(w) = -w**3 + 10*w**2 - 8*w - 3. Calculate q(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.96 * -0.3\nAnswer: 4.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8413 + 11608 = j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1205*g*r**3*t + g*r**3 + g*r**2 + 133*g*r + g*t + 79*g - 810*r**3*t + 140 wrt r?\nAnswer: 7230*g*t + 6*g - 4860*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 - -53. Let n be m - ((-3)\/6*-2)\/(-1). Solve n*r + 0*r - 6 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -h - 33, -4*a + 54 = 5*h - 3*h. Solve -5*o + a = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 11 = 4*c + 3, 0 = -2*c - 3*m - 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -518 (base 9) to base 10.\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-234)\/(-65)*-2)\/(-3))\/(((-27)\/60)\/(-3))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 6)\/((-5)\/410). Let t = g + 233. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*k - 269 = -20*k - 59 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 190\/7 - 9493\/350. Let y(s) be the second derivative of i*s**5 - 1\/30*s**4 + 0 + 0*s**2 + 5*s + 0*s**3. What is u in y(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 11) to base 5.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13807 and -0.2.\nAnswer: 2761.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -42. Solve 3*p = x*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 6:55 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/68*804\/60903\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3891073\/8 smaller than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21\/5863 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 1:38 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2894\/1447 + (-6)\/((-2)\/(-1)). Sort l, 26, 3, -32 in decreasing order.\nAnswer: 26, 3, l, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/t**(2\/7)))\/t**(-4\/13)*((t*t\/(t\/(t\/t**(-1\/2))*t))\/t)**8)**(-1\/58) assuming t is positive.\nAnswer: t**(-509\/5278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 4*h - 16. Suppose 4*m - 25 + 9 = h*b, 3*m - 12 = 4*b. Suppose -l - 2*d = -7, -m*l + d + 2*d - 27 = 0. Do l and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 4*k**5)*(0 + 3 - 6)*(3 + 0 - 4).\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203406495 to the nearest integer?\nAnswer: 14262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2. Let i(b) = 7*b**2 - 468*b + 18252. Let f(m) = i(m) + 4*v(m). Suppose f(q) = 0. What is q?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -823.4 - -823. Which is the fourth smallest value? (a) t (b) -1\/6 (c) -0.1 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90 - (81 + 118 + -86)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17134308911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 8 = -2*b, b + 31213*f - 5 = 31214*f for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 13*d**4\/4 - 96*d**2 - 2235*d - 9542. Find the first derivative of w(l) wrt l.\nAnswer: 39*l**2 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -323, 3 in increasing order.\nAnswer: -323, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = 8*v + 84. Suppose -5 = 5*i - 45. What is the least common multiple of v and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.028 + -13.528. Let c = z + 13. Let x = 1.8 + -2. What is the closest to -0.2 in c, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -122*s - 3. Let t(m) = 62*m + 1. Give 4*g(j) + 7*t(j).\nAnswer: -54*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 9 - 15 + 19 - z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9239558 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + 1 + (-41 - -52) + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*x - 10, 3*x + 3*g = -x + 8. Suppose -q = -3*b + 791, 4*b - x*q - 470 = 588. List the prime factors of b.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303, -984, -2049, -3504, -5355, -7608?\nAnswer: -10269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -69249 * -761\nAnswer: 52698489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 588*v**3 - 596*v**3 + 1 + 7*v**2 - v**2 in the form n + t*v + j*v**3 + x*v**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) + sqrt(130)*-1))*4 - sqrt(130))\/(sqrt(120)\/((sqrt(12)*-2 - sqrt(12) - sqrt(12)) + sqrt(12))).\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-39)\/(-90)*-2 - -1. Let p = -41 + 44. What is the third smallest value in p, 1\/3, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59772 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h - 4. Suppose 4*a + 8*a - 84 = 0. Let w(s) = 6*s - 7. What is a*z(y) - 4*w(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (153\/(-6))\/(((-6)\/(-12))\/(-1)). Calculate the highest common divisor of c and 6477.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t + 6. Let a be i(0). Solve a*h = 4*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2208)\/(-2002) - 1 - ((-814)\/3848)\/(22\/(-8)).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -86*h**2 + 2*h - 3. Let l(t) = -84*t**2 + 4*t - 2. Give 2*l(k) - 3*z(k).\nAnswer: 90*k**2 + 2*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a = 12. Suppose -3*r + a = -0. Which is bigger: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7919\/13 + 12\/(-78). Suppose 0 = 30*k + p - 6009. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8483 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12220 by -235.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -35. Let q = z - -10. Does 14 divide 16 + 10\/q*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 9*d**2 + 5*d + 67. Determine w(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -1) + -121 + 128 - -15 - -26?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23125764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11232213320 - 12?\nAnswer: -11232213332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 10. Suppose -5*s - 3*c = -50, 2*c - x + 25 = 2*s. Suppose -n = -3*i + 2*n + 9, 0 = 3*i - 4*n - s. Solve -5*h - 29 = -m, -3*h + i*m = 6*m - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (51 - -4)\/(2\/(-102)). Let w = f + 1916. Let o = -811 + w. What is o rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2404937 (base 10) to base 8.\nAnswer: 11131111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3861843 * -0.3\nAnswer: -1158552.9","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 40669209.\nAnswer: 40669209.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9.97 and 2356.935.\nAnswer: 2366.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20, -27, -24, -11, 12, 45?\n\"Answer: 5*g**2 - 22*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -29242112?\nAnswer: 2924210a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-7\/2)*k**(-36)*k**(19\/2)\/(k*k**(-8)\/k) assuming k is positive.\nAnswer: k**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8482606397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57375 and 174420?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 17. Let a(v) = -3*v + 17. Let r(w) = -5*a(w) - 6*l(w). Let j be r(-14). Is (-60)\/j*70\/4 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101000 (base 2) in base 15?\nAnswer: b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 3)*(2 - 2*f - 2) + 5*f + 2*f - 4*f + (5 + 0 - 2)*(f + 3 - 3) to the form d + k*f and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003209817 rounded to 6 dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 4905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u = -7*u + 4*g + 97 - 187, -u + 58 = 5*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/5 at most as big as 296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 14 - 17)*(-6*w - 2 + 2)*(-2*w - 4*w + 2*w).\nAnswer: -1032*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19\/4 of a week?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -3374999*v**2\/2 + 4*v - 23. Suppose -h + 4*f - 13 = f, 5*h + 29 = 3*f. Let b be g(h). Round b to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 9*c**2 - 2*c. Let a be v(-10). What is the highest common divisor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 2 + 0*c**3 + 0*c**2 + c**3. Let z be h(0). Suppose r - 12 = -z*r. Solve s = -r*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1245546, 0.4, -1\/52 in descending order.\nAnswer: 1245546, 0.4, -1\/52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010100100 (base 2) to base 10.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15 - 11 + 3*a**5 - 50*a - 4 - 11*a**2 wrt a?\nAnswer: 60*a**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 764 - 764. Let p = 66\/49 - 38\/49. Put -7\/17, w, p in descending order.\nAnswer: p, w, -7\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -77, -159, -285, -461, -693, -987?\nAnswer: -1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -453309 or -453310?\nAnswer: -453310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 537*v - 24302 = -4433. Which is greater: 66 or v?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 73 + 517243?\nAnswer: 517336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 324 + -193. Let v = -915\/7 + f. Factor -2\/7*s**5 + 6\/7*s**4 - 4\/7*s**2 + 6\/7*s - v - 4\/7*s**3.\nAnswer: -2*(s - 1)**4*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*8*(-3)\/(-18). Suppose 6 = a*b - 18. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21031 + 1?\nAnswer: 21032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7 + 3*p**2 - 13*p - 2*p**2 - 1 + 2. Let i be v(14). Suppose 0 = -r + 4*s + 58, 0 = -4*r - i*s + 3*s + 148. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 - 3)*(-3 - 2*k + 3).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8*s - 190 = 0. Let m = s - 25. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 23 = 2*d, 7 = 4*d + 2*l + l. Solve 3*h - 3*b + b - 15 = 0, -d*h = b - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -14 - (0 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a minute in milliseconds?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - l**2. Let f(k) = -2*k**3 - 4*k**2 + 15. Suppose 3*i + 16 = 7*i. Let g(p) = i*z(p) - f(p). What is the derivative of g(n) wrt n?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 75751650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6985 is divided by 170.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(70\/(-133)) + 1\/(-5). Sort x, -2\/3, 1\/4, -9 in descending order.\nAnswer: 1\/4, -2\/3, x, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*c - 2*c + 3510, -4*l = 0. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 34*l - 138. Let q be h(-4). Sort 158, 3, 2, q, -2 in descending order.\nAnswer: 158, q, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4022 (base 7) in base 5?\nAnswer: -21023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**3 + 0*i**3 - 520 + 524)*(-2*i + 0*i + i + 4) to the form d*i**4 + u + p*i + y*i**2 + x*i**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*f - 33. Suppose 4*v + 2 = 5*m, -f*m + 10 + 4 = 2*v. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-65)\/117)\/(((-90)\/(-24))\/((-54)\/12)). Factor -4*m**2 + k*m**3 + 10\/3*m + 0.\nAnswer: 2*m*(m - 5)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 4*q - 33. Let u be ((-136)\/10)\/((-11)\/55). Suppose -52 = -5*v + u. What is the greatest common divisor of v and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1948, 7666, 17204, 30562, 47740, 68738?\n\"Answer: 1910*p**2 - 12*p + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5048*a + 120736. Give t(24).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k - 21 + 21 + 8*k + 2*k**3 to u*k**3 + l*k**2 + h*k + c and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14723993 and -0.4.\nAnswer: 5889597.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjxjx. What is prob of sequence jjx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4864, -4850, -4788, -4678?\nAnswer: -4520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -12705\/2 (b) -7 (c) -2 (d) -361 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from tesen?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*1)**2 + 5.\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -16218 and 90 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-14)*-4)\/((-2)\/(-4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 912046 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11085 is divided by 284.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6778770 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 8:10 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3 + 134*x**2 + 548*x + 552 = 0.\nAnswer: -2, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8 + 262*v - 259*v + 3. Let t be d(-34). Is t less than or equal to -91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 171583 + 66982 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-2))\/(7\/(-308)*-2). What is the highest common factor of 77 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51031624 + 16?\nAnswer: -51031605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34677 is divided by 34618?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.39867191 rounded to four dps?\nAnswer: 4.3987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 11:49 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.52 or -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - w - 3*w - 9*w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 139421, 278838, 418273, 557732, 697221, 836746?\n\"Answer: o**3 + 3*o**2 + 139401*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 92.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 219.9476 + 0.0524. Let x = 221 - p. Which is the closest to x? (a) 5 (b) 2\/17 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -z - 14. Let x = z + -6. What is the remainder when x is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*f = 3*u - 27, u - 3 = -4*f. Is ((-43164)\/(-10) - -4) + u\/25 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 - 17*k - 10. Give j(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/629358536?\nAnswer: 3\/629358536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1092*q**2 + 4*q. Let s be r(2). Suppose -13130 = -5*m + l - s, -2*m = 5*l - 3507. Suppose 0 = -8*f + m + 369. Is f a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10500 + 0.4\nAnswer: 10500.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*s = -7*s + 114, 0 = -5*z - 4*s + 285. Let n = -62 + z. Let f(i) = i**2 + 22*i + 22. Let b be f(-21). Sort b, -16, n.\nAnswer: -16, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5513*v + 10092*v + 6967*v + 1792642 + 1028858 = 0 for v.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25944 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(108) - sqrt(108)) + 2)**2 - (1 + sqrt(108))*-3 - (-2 + -3*(1*sqrt(108))**2).\nAnswer: -54*sqrt(3) + 1305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 + (-279)\/(-36). Let q = 18099 - 18099. Solve -l*y + 20 - 60 = q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 74, 49, -20, -157, -386, -731, -1216, -1865?\n\"Answer: -4*f**3 + 2*f**2 - 3*f + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9431*o**3 - 3*o**2 - 9420*o**3 - 2 + 18843*o**3 - 12*o + (-2*o + 0 + 0)*(-1 + 1 - o**2).\nAnswer: -6*o**3 - 3*o**2 - 12*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 2*u**6\/15 + 4*u**5\/5 + 4*u**4\/3 + 179*u - 14. Let s(t) be the first derivative of n(t). Factor s(z).\nAnswer: 4*z**2*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4 + 162*z**3 + 5308*z**2 + 27072*z + 34240 = 0.\nAnswer: -20, -4, -2, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 4*z = -11*q + 24, 5*q - 2*z = 22 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2928*m - 30663. Calculate i(-11).\nAnswer: 1545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 14*n - 33. Let h be i(11). Suppose -2*u = 3*c - 5*u - 168, h = 3*u + 9. Is 56 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788449161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 6*s + 54. What is the least common multiple of s and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.2 - -3.1. What is p rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3)*51\/17*(-10)\/32?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 736*k**5 + 163*k**2 + 4*k?\nAnswer: 44160*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2. Let z(o) be the first derivative of o - 1. Let b(c) = -4*c**2 + 2. Let r be 5 + -1 + -7 + 2 - 1. Let d(p) = r*z(p) + b(p). Calculate d(w(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + (sqrt(175) - (1 + sqrt(175) - sqrt(175)))**2*-4 + 0 + (sqrt(175) + 0 - sqrt(175))*4 + 5)*4.\nAnswer: -2808 + 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62280, -62244, -62206, -62166, -62124, -62080?\nAnswer: -62034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - 62 - (-12 + (6 - 6 - 1) + 6).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**5\/9 + 202030*a**4\/3 + 1818284*a**3\/9 + 134688*a**2 = 0. Calculate a.\nAnswer: -2, -1, 0, 303048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 946 and 4191847.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83276191613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 - 0.3. Let m be (-40)\/(-32) - 9\/3. What is the smallest value in u, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5187 - 0.0187. Let o = 10 - 27. Let k = o - -11. What is the third smallest value in 0.1, q, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2335 is divided by 776.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59910, -60130, -60360, -60606, -60874, -61170?\nAnswer: -61500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmtmb. Give prob of picking 2 m and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7649.31 millilitres?\nAnswer: 7.64931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28827+-52\nAnswer: 28775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 4:46 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.2 - 3.2. Let i = y - 23. Let z = -1.3 - -2.3. Which is the nearest to z? (a) 5 (b) i (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -20, 104528 = 115*o - 111*o - 4*l. What is the ten thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (-5 + 2))*165\/25. Suppose -29*t - 4 = -b*t. Solve 19 = 2*g + 3*g - 2*r, 2*r + t = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1\/5, 3\/5, -31?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32 - 3 - (-3)\/3. Let i = -18 + q. What is the highest common factor of 48 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60494885 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 2)*(2*w**3 + w**5 - 2*w**3) + (5*w - 5*w + w**2)*(-2*w**3 + w**3 + 0*w**3) - 3*w**5 - 2*w**5 + 3*w**5.\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j. Let m(w) = -2*w + 62. Let k(g) = -g + 32. Suppose 13*c + 0*c = 65. Let q(b) = c*k(b) - 3*m(b). Determine q(o(r)).\nAnswer: r - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 - (-37 + 164 + -23).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 713591 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 4*i**2 + i + 3. Let a be m(-2). Calculate the greatest common factor of 6 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -40254, -0.5, 4, -5, -4, 181.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -286 (base 11) to base 16\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:54 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1 (b) -1.211 (c) -2\/5 (d) -12 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -13962?\nAnswer: -13966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b + 11*b + 10. Which is bigger: b or -2\/5951?\nAnswer: -2\/5951","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 10\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3420430 divided by -83?\nAnswer: -41210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - d. Suppose 3*k + 2*g = 38 + 37, 5*k + 3*g - 126 = d. Calculate the remainder when k is divided by (42\/18)\/((-1)\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkkkkkqkq.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/5))\/(a\/a**(2\/5)*a)*(a*a\/(((a**(-2\/7)*a)\/a)\/a))**(-12))\/((a\/(a*a**(2\/3)*a)*a)**7\/(a**(-5)\/a*a**(2\/7))) assuming a is positive.\nAnswer: a**(-4334\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujjejussujsss. Give prob of sequence ujs.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**3 + 2*c**3 - 3*c**3 + (-c**2 + c**2 + 4*c**3)*(-43 - 159 + 26))*(0*c - 5*c + 2*c) in the form f + d*c**4 + i*c + n*c**3 + r*c**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.7 and 0.22206.\nAnswer: -3.930462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 105 divided by -3\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 162 + -151. Suppose 16*w - 2*l - 23 = b*w, -2*w - 5*l = 14. Solve z - w*t = -19, -t = -3*z - 3*t - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (420\/(-50))\/(12\/(-4 + 28)*(-2)\/(-5)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2553241 + -20?\nAnswer: -2553301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1125 - -0.5\nAnswer: -1124.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*p**4 + 608*c**3*p**2 + 5701*c**2*p**6 - 2*p**2 wrt p?\nAnswer: 48*c**3*p + 684120*c**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -1 - (5 - 4 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffiffifmfffffiff. Give prob of sequence im.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993190852?\nAnswer: 2, 37, 787, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37.5 and 1?\nAnswer: -37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257601953 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/802 and -91\/4.\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 253408693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:33 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 5*i**2 - 3*i + 8. Let y be g(6). Let t = y + -155\/6. Let j = 314\/951 + 1\/317. What is the nearest to -1 in j, t, 1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/5))**(-39))**(1\/34) assuming q is positive.\nAnswer: q**(-39\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331957 is divided by 109290?\nAnswer: 4087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-351)*21*13 + 1 + -22 - -3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124341243 + -343?\nAnswer: -124342141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by -53?\nAnswer: 58\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113 + 111024?\nAnswer: 110511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*r = 300. Let m(t) = t**2. Let g(f) = -5*f**2 - 9*f + 5. Let b(o) = -g(o) - 6*m(o). Let n be b(5). What is the highest common divisor of r and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 894.72 rounded to the nearest ten?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 0.9, -2.2, 2\/5, 0.1, -0.0729?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7617268027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 12:51 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 - 139*t**2 - 3*t**3 + 266*t**2 - 131*t**2.\nAnswer: t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11010001101110011001 (base 2) to base 9\nAnswer: 1548331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.035 and 3?\nAnswer: 18.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 n when four letters picked without replacement from {j: 2, n: 1, x: 2, y: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (188 - 3 - 4)*(12 + -11)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17447 + -5949433\/341. Which is bigger: d or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.247 - 174.247. Let a = r - -173. What is the closest to -1\/2 in a, 2\/3, 8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*c**2*f**3 - c**2*f**2 + 427*c*f + 3*f**3 - 1700*f**2 + 4*f wrt c.\nAnswer: 20*c*f**3 - 2*c*f**2 + 427*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 31*z**2 - 111*z + 2235. Determine a(30).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 24. Let l be 1\/((-4)\/m - -1). Calculate the remainder when 46 is divided by (-10)\/(-2) + (7 - l).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/6*1)\/((-1)\/(-2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeteeeteeeeeeetteeee. What is prob of sequence ee?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4\/7 - 2*s**3\/7 + 6*s**2\/7 + 2*s\/7 - 4\/7 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -2152, 3 in descending order.\nAnswer: 42, 3, -2152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3, -1, 14\/829, -0.5, -5?\nAnswer: 14\/829","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475 = v + 18*v. Suppose 1 = -k + 5. Suppose -k*h - h + v = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to 38673\/9068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**4\/7 - 2214*u**3\/7 + 20058*u**2\/7 - 4790*u - 55800\/7 = 0.\nAnswer: -1116, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1573)*2*6 + -2 - (3*sqrt(1573)*2 - sqrt(1573))*4).\nAnswer: -352*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (316 - 272) + -17 + (3 - 1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1279260 and 3540.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43284, -172840, -388768, -691068, -1079740?\nAnswer: -1554784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.001, -2\/15, -4?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 - 4*i + 3*i)*(-2 - 1 + 1 + (-4 + 1 + 8)*(-1 + 0 + 4)) as b + v*i and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 201*i**4 + 903 with respect to i.\nAnswer: 804*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**3\/6 - 25*k**2\/2 + 629*k. What is n(0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -708, -685, -588, -381, -28, 507, 1260?\n\"Answer: 6*y**3 + y**2 - 22*y - 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccscsjcs. Give prob of sequence cjs.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cphka. What is prob of picking 1 a and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 4421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 562906578 to the power of 1\/3, to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**3\/11 + b**2\/11 - 20*b\/11 = 0.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 810 and 1552230?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/8)\/q*(q**(1\/7)\/q)\/q*(q\/q**2)**(-2\/5) assuming q is positive.\nAnswer: q**(-653\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 7*g + 9. Let o be s(6). Suppose o*u + 14 = 17*u. Suppose -2*m - 25 = -7*m. Solve 25 = -u*q + 2*q, m*q = -4*j - 41 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 439, 1613, 3911, 7711, 13391?\n\"Answer: 63*o**3 - 5*o**2 + 2*o - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 39. Let q = -25 - i. Solve -q*p = 2*p + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(2) - ((sqrt(2) - (sqrt(2) + 2 + sqrt(2))**2) + 4) - sqrt(2)) + (sqrt(24)\/sqrt(588)*-1)**2.\nAnswer: 198\/49 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - 14*b - 20 = -n, -5*n + 28 = -b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1856\/9 - -206. What is the common denominator of a and (-23)\/((-1012)\/(-913)) - (-10 - -2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175505 is divided by 763.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87 - (108 + -72 + 0).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 8:32 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*h - 5*i, h + 3*h + 4 = 5*i. Let w = 63 + -62. Suppose -5*r + 24 = -4*v, v + w = r + h*v. Solve -2 = 4*c - 4*x + 2, -5*c = r*x - 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q. Let i(w) = -3*w**2 - w + 4. Let d be i(q). Solve d*x + 2*n - 2 = 0, -8*x - 8 = -3*x - n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18295382 - 3?\nAnswer: -18295385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 5\/2*a**3 + 3*a**2 + 1\/5*a**6 + 5\/14*a**7 - a**4 + 0 - 3*a - 3\/2*a**5. Suppose k(z) = 0. What is z?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 20. Let f(v) = 3*v**4 - 5*v**3 + 3. Let m(b) = b**4 - 3*b**3 + 2. Let t(y) = o*m(y) + 3*f(y). Differentiate t(q) wrt q.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2135 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 + -31. Suppose 0 = -4*b + 67 + q. Calculate the remainder when b is divided by (2\/2)\/(1\/7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2314554?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 44.863?\nAnswer: 49.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9700 + -161?\nAnswer: 9539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + 0.08. Let g = 0.52 + -0.12. Which is the biggest value? (a) g (b) -0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 4. Let n be v(4). Solve n = -f + 2, -3*w + 3 = 2*f + f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04219 times -114\nAnswer: -4.80966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/3, 0.17, 5, -4, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3504 by 4.\nAnswer: -876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n = 16 - 88 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h + 17*h - 110 = -2*s - 56, -s + 50 = -0*s + s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3174102904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3554 plus -326?\nAnswer: -3880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -531 - -553. Let w be 9*-2*2\/(-12). Suppose 4 - k = -w*j - 4*h, 5 = j + h. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/1417643 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-33)\/18 + -2\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/894 and 137\/456.\nAnswer: 67944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*p)*(91*p**3 - 3558*p**3 + 948*p**3) + (0*p**3 + 0*p**3 + 2*p**4)*(0 - 3 + 2) in the form c*p + d*p**2 + w*p**4 + k*p**3 + u and give w.\nAnswer: -5040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9309 + -9213. What is the remainder when r is divided by 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 720\/385 - (0 - -2) and -17\/35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 55699*b - 222823. What is o(4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51 + 240876?\nAnswer: 240825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 202040872\/405 + -498866. Let g = m + 4\/81. Determine q so that -4\/5 - g*q + 6\/5*q**2 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + 2)*-1 + sqrt(5808) + -1.\nAnswer: -3 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgl when three letters picked without replacement from {p: 2, z: 1, s: 4, l: 6, k: 1, g: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9745\/6 - -1616. Calculate the common denominator of n and 31\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*19\/(-57)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1)*133\/19 + -29 + (7 - -35).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 20*g - 3*a + 44 = 0, 46 = 4*g - 3*a. Solve 0 = -3*i + 5*b - 25, -20*i + 2*b - g = -24*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d + 207*c + 8 = 368*c - 166*c, -5*d - 5*c = 20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**4\/12 + d**3\/6 + 67*d**2\/2 - 13*d. What is the tens digit of j(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792 is divided by 244?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 75, 188, 409, 774, 1319?\nAnswer: 2080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k**2 - 69*k + 205. Calculate the remainder when v(3) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 161 (b) -6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -238*b**3*d*v - 3*b**3*v - 4*b**2*d*v - 3*b*d*v + 13*v wrt b?\nAnswer: -1428*d*v - 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + 2 + (2*sqrt(15))\/sqrt(5))**2.\nAnswer: 4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3)*(-10 - 74\/(-6))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 3*c - 28, -7676*i + 44 = -7678*i + 3*c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 8330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p + 17*p = 63*p - 365. Suppose -r + 5 = -2*f + 4*f, 4*f = 5*r - 25. Solve 4*o = -0*y + 2*y - 18, f = -3*o + p*y - 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 - 27948\/(-60) - 2\/(-10) is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -38. Let c be w*(-6 - -4) + 9. Find the common denominator of (c\/(-12))\/((-20)\/(-390)) and -61\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 + -459 + -3 + -2 - (-1 - 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2607 = 6*z + 195. Let m = z + 447. Which is smaller: -252\/13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 583, -1.\nAnswer: -1, 1, 5, 583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 10:24 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 divided by 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1 + (0 + 4 - 2)*(0 - 1 - 1) + 1 - 1 - 1)*(3*g - 7*g + g).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 1) + 12 + 0. Suppose -c*n + 12*n = 0. Solve -4*a - d - 9 = -2*d, n = 2*d + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4691*r**4 - 12*r**2 + 231686 with respect to r.\nAnswer: 18764*r**3 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 7*k. Determine i(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(162\/42)*4\/(-14). Let m = -2 - -4. Let b = m - 1.96. Put 1, 3, l, b in ascending order.\nAnswer: b, l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 518964*t + 33665454162.\nAnswer: 2*(t + 129741)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 1. Let b be y(1). Suppose 5*g = -b*g - 10. Sort -5, g, -1.\nAnswer: -5, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/11))\/((h**(-2)\/h*h)\/h)*(h\/h**(-1))**12 assuming h is positive.\nAnswer: h**(306\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 9 - -8) + -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -62756 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138 - -148.9. Let l = a - 10.9. Put 0.2, 4, l in increasing order.\nAnswer: l, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-1 - j + 1) - 112*j + 7 - 3 + 98*j.\nAnswer: -12*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 377.933 to the nearest 10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 4*s = -0*s + 21, 3*o + 17 = 5*s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5587374 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: What is the square root of 2061 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 244997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 306270*x**3 - x**2 + x - 4. Let l be k(-6). Let v = 57664088 - 25209722. Let w = v + l. Round w to the nearest one million.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3 (b) -2\/13 (c) 3\/5 (d) 35794\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1887\/4 or 471?\nAnswer: 1887\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 16.46115 millilitres?\nAnswer: 0.01646115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32943 + 8?\nAnswer: 32951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.42 - -0.22. Let x = f - -1.2. Which is smaller: x or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 1. Let v(i) = 28*i**2 - 40. Let u(c) = -3*l(c) + v(c). Is u(-7) a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*w**4 + 432*w**3 + 42*w**2 - 26*w wrt w?\nAnswer: 96*w + 2592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 - 77.8. Let z = -18.8 + i. Which is the fourth biggest value? (a) -1 (b) -0.05 (c) -2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v**2 - 68*v + 41. Let d(k) = -21*k + 18. Let r(a) = a**2 - 41*a + 38. Let c(s) = -5*d(s) + 2*r(s). Let w(g) = 11*c(g) + 4*l(g). Factor w(b).\nAnswer: -(b + 10)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**5 - c**4 - c**3 - c**2 - c. Let o(z) = 27*z**4 + 69*z**3 + 75*z**2 + 30*z. Let l(y) = -o(y) - 3*p(y). Factor l(q).\nAnswer: -3*q*(q + 1)**2*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0 + 2*m**2 + 3*m**3 - 2*m**2 as g*m + y*m**2 + q + r*m**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*y - 8. Let r be 52\/(-20) - y\/(-10). Let z be -1 + (-21)\/12 + (-12)\/(-16). Which is greater: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 18 - 11 + n**4 + 16 - 65*n**3 in the form o*n + r*n**4 + m*n**3 + y + g*n**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 - 23. Calculate the highest common divisor of z and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from borsofdbssdfoo?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 2 + 2 + (1 - 1 + d)*(-3*d + 0*d + 5*d) + 0*d**2 - 2*d**2 + 3*d**2 + 52*d**2 + 14*d**2 + 18*d**2.\nAnswer: 89*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 584, 596, 628, 692, 800, 964, 1196, 1508?\nAnswer: 1912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 = -6*r + 8*r, -4 = 3*r + 4*v. Solve 2*k = -f + 10, -2*k - 2*f + 14 = -r*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2276914 and 871681.\nAnswer: -1405233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 1. Let m be u(6). Suppose m*p - 18 = 2. Suppose -h + p - 1 = 2*z, 4*h - 4*z = 36. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83835 and 564732.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2\/7, 1, -180?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 - 5*p**5 + 4*p**5 + 0*p**5 - p**5 + 0*p**5 - p**5 + 4*p**5 - p**5 + (-3*p**5 + 4*p**5 - 3*p**5)*(2 - 1 + 1) - p**2 - 2*p**5 + p**2.\nAnswer: -7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 186 (base 11) to base 2\nAnswer: 11010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2783367 divided by -1.\nAnswer: -2783367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*x - 37*x = 25*x + 672 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -58733113 divided by 5\nAnswer: -58733113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321112257.\nAnswer: 3, 157, 439, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g. Give m(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/(-5))\/(-4))\/((-98)\/35).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 785 - 363. List the prime factors of q.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -432+136\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - b**3 - 2*b**3)*((0 + 5 - 3)*(1 + 2 - 2) - 5 + 2 + 2 - 238 + 103 + 109).\nAnswer: 50*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1574726 take away 55909?\nAnswer: -1630635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.89095 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.815418964 take away -14?\nAnswer: -2.815418964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2) + -4 + (-92)\/(-24) - (-337)\/6.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 5) to base 2.\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3))**(1\/6)*p**(1\/9)\/p*p**13\/p*p)**(1\/39) assuming p is positive.\nAnswer: p**(209\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 0, 75373, 4 in descending order.\nAnswer: 75373, 4, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + 4)**2 + sqrt(2) - sqrt(2)) + (-3 + sqrt(2))*2.\nAnswer: 74*sqrt(2) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2914?\nAnswer: 2, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. What is the common denominator of k + ((-430)\/8)\/5 and 11\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 12:50 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 188469744 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -140740 and 0.43707823?\nAnswer: 140740.43707823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 20*g**2 - 63*g - 6. Let y be u(-11). Let d = -756 + y. List the prime factors of d.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - c + 0)*(-264 + 196 - 733).\nAnswer: 801*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3002 + -312022231?\nAnswer: -312013223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 31274442?\nAnswer: 31274447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 16 = -4*f, -2*v - 87 + 75 = -3*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (16 - (-22 - -41))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 7:49 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 23*k**5\/20 - k**3\/3 - 1053*k**2. Let q(f) = 11*f**2. Determine q(n(p)).\nAnswer: 52371*p**4 - 3036*p**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + (-4 - -5) - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 18062*a - 29. Give j(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 = -3. Suppose 35*d = 31*d + 8. Let y be -3 + d\/3*(-9)\/(-12). What is the second biggest value in 3, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1717318 is divided by 572307.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 47\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 80, 4, -0.05.\nAnswer: -5, -0.05, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2 - 5 = 0. Let r = -0.2 + 0.3. Let u = 0.1 - r. Is c >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 21012100001022?\nAnswer: 21012100001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -242689.730026 + 242690. Let q = 0.27 - m. What is q rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/4 - 1\/2. Let z = l + 19. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 + -0.16. Let m(t) = t**2 - 5*t + 5. Let v be m(4). Let s = 0.02 + 0.38. Put w, s, v in ascending order.\nAnswer: w, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -765*k**3*q - 2*k**3 - 5*k**2*q + 32*k**2 - 2*k*q + 32*k + 11574 wrt k?\nAnswer: -4590*k*q - 12*k - 10*q + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 854 = 4*g + 3*n, 2*g + 3*g - 3*n - 1081 = 0. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2630 = 40*t + 810. Sort -4, 28, t in increasing order.\nAnswer: t, -4, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 649\/7 - 93. Which is the third smallest value? (a) 0.1 (b) q (c) 3 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - 2*6\/4. Let t = l - -1. Let c be 9\/(-36) + t\/8. Is c bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11612689.861098643 - -11612923.8611. Let s = m + -234. Round s to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1352 is divided by 389?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-6)*(-6)\/4)\/(780\/(-520))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132180 - -429065. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -13*i**3 + 10. Let d = -6 + 13. Let k(x) = 6*x**3 - 5. Let w(z) = d*k(z) + 3*n(z). What is the first derivative of w(p) wrt p?\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -9. Suppose -3 = -4*d - 15. Which is the biggest value? (a) 0.1 (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/10640*-40)\/((-2)\/(-4))\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -771, -929, -1087?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = -2*u + 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/3 (b) -1\/2 (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34834.349009 - 33.\nAnswer: -34867.349009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 8. Let v be m(5). Suppose 0 = -4*q + 40 - 0. What is the least common multiple of q and 16 + (0\/4)\/v?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14583802 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 997 = -u + 1035, 5*y = 5*u + 3420. Calculate the greatest common factor of y and 485.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16860.\nAnswer: 2, 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrejeeqjkkrjqrejrjr. What is prob of picking 2 k?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12504 - -12504.1. Which is the fourth biggest value? (a) -2 (b) 2 (c) 1\/4 (d) s (e) -3.78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**5\/2 + 885*r**4\/2 + 70727*r**3\/2 + 1615439*r**2\/2 + 2820636*r + 2686238 = 0.\nAnswer: -799, -41, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1083994 = 3*j, 0 = -4*q + 3*q - j + 271002. What is q rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6594 a factor of 3374123777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*a**5 + 159*a - 1 - 155*a - 1 wrt a.\nAnswer: 300*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 12122 = -7378. What are the prime factors of j?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39\/76 - -1819\/380. Calculate the common denominator of t and -87\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 at least as big as -966662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -1111001011000001100?\nAnswer: 1111001011000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 7:04 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**2. Suppose 12 = 3*v + 3*v. Let w(b) = -b**2 + v*b**2 - b**2 + b**2. Determine k(w(c)).\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**3 - t**2 - 2*t - 1. Let h be p(-1). Suppose -2*c + 58 = 2*o, -82 = -6*c + h*c - 4*o. Let l = c + -72. Which is smaller: -0.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -571, -1773, -4017, -7627?\nAnswer: -12927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from nbbbbbnn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 19086.4412 to the nearest one hundred.\nAnswer: 19100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p - 10*p - p - p. Let x(h) = 7*h - 5. Let f(y) = -3*y - y + 1 + 2. Let n(z) = 5*f(z) + 3*x(z). Give n(s(v)).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*k + 132 = 0, -3*k + 44 - 41 = 0. Suppose 0 = 2*n + m + 236, 5*n - 2*m + 387 = -221. Let p = z + n. What is the remainder when 67 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -238.15 - -3.15. Let p = -231 - j. Is p at most as big as -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 z when four letters picked without replacement from {z: 7, r: 6, n: 4}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-180)*6 - (-230)\/12. What is the highest common factor of 323 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174552548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 211*y - 9. Let o be a(-3). Is (-1)\/2 + o\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 818 + 63805*d + 4*d**2 - 63805*d - 2*d**2 in the form z + w*d + k*d**2 and give z.\nAnswer: 818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2666*l**2. Let r(j) = -3*j. Determine r(v(w)).\nAnswer: -7998*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -253*g**2 + 147*g + 45130?\nAnswer: -506*g + 147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37938\/26 + (-6)\/39 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*(-2)\/(-84))\/((-8)\/(-18)) - (-1100)\/(-1232)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v - 2*v - 33*v + 6*v.\nAnswer: -37*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 34*w**2 + 897*w - 3596. What is s(4)?\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 28 = 4*n, -5*n - 39 = -3*t - 10. Suppose 1911 = t*g - 810. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 861330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 6:59 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15733073 is divided by 402.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 1, l: 1, i: 1, s: 1}. What is prob of sequence sj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44561, 44559, 44557, 44555, 44553?\n\"Answer: -2*s + 44563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 233*k**2 - 9571*k + 742. Give d(41).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1845)\/21 - -4) + (4 + -9 - 82\/(-14)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 66\/4 - (9\/6)\/(-1). Let o be (b\/(-12))\/(-3 + (-18)\/(-8)). Suppose 0*i + 0 + 2\/9*i**o = 0. What is i?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 13. Let x = 14 - 9. Let c(z) = -5*z - 16. Let m(r) = -4*r - 17. Let j(v) = -2*c(v) + 3*m(v). Let h(n) = x*j(n) - 8*t(n). Determine h(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1483\/23459?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 40.1512ug?\nAnswer: 40151.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = q - 35, 8*q - 2*f = 5*q + 116. Calculate the remainder when 453 is divided by q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.06 (b) -0.019 (c) -2\/3 (d) 2\/3 (e) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5954.\nAnswer: 2, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -3\/2*q**2 + 1\/3*q**3 + 0 - 70*q. Suppose 0 = -5*b + 14 + 1. Give s(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from {p: 1, e: 1, k: 5, o: 5, i: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-15) + (-51)\/(-15). Solve -2*n = 2*l + f + 4, l + 19 = -4*n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 2*b**2 - b. Let j be m(3). Let u = -7 - j. Which is smaller: 6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1 - 0) + (-4 - -3) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-39)\/(-26))\/((-27)\/(-6)))\/((-2)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -101 + 8092 + -8039?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Let l be (-141)\/(-21) - 8\/(-28) - 2. Solve -3*i - 14 - 1 = 3*n, l*i + 25 = g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = g + 10, 0 = -104*t + 99*t - 2*g - 65. Suppose -n + 25 = -0*n. Let h be 5765\/n + (-6)\/t. Calculate the highest common factor of 21 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 112011012 (base 3) to base 12\nAnswer: 5b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 2:02 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3229 - 3229. Let h be 0\/(-3)*(-1)\/2. Solve h = -3*x - g*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 - (-2)\/(-6). Suppose 4*n - n + b + 21 = p, -4*b = -12. Let k(z) = 2*z + 16. Let r(o) = 1. Let v(t) = -k(t) + 10*r(t). Give v(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*u**2 - 14*u**2 + 4612 + 69*u**2 - 9227 + 4615.\nAnswer: 574*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001101 - 10010101010?\nAnswer: -10101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 7406551.018 to the nearest 100.\nAnswer: 7406600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -129, -115, -95, -69, -37, 1?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 40. Let d be r(7). Suppose -32*q + d*q - 3*a = 894, 0 = 4*q + a - 3589. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -189*f**2. Let b(m) = 2*m**2. What is w(b(l))?\nAnswer: -756*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(48)*1 + sqrt(3) + (sqrt(3) + -1)*-1)*3.\nAnswer: 12 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7549 + -12 - -13) + -10. Which is bigger: 7539 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 5)\/((-6)\/(-8)). Let k be (-2)\/4 - (-15)\/6. Find the third derivative of -12*a**y - 10*a**k + 12*a**4 - 8*a**5 wrt a.\nAnswer: -480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 times -0.9157\nAnswer: 83.3287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 3 + 2*q**2 - 3.\nAnswer: 2*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1428*u - 629*u - 290*u.\nAnswer: -2347*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 203652 to the power of 1\/2, to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 137213123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/653 > -2.233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5039.3 and -3?\nAnswer: -15117.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-14)\/(-2))*(-5)\/10. Suppose -4*q + f = -617, -2*f = f + i. List the prime factors of q.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*d - i, 41 - 26 = 5*d + 2*i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 x when four letters picked without replacement from {m: 2, x: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1296217.\nAnswer: 13, 99709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-1 - 0)) + -14 + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119913*s**4 - 2*s**2 + 5*s + 379.\nAnswer: -2877912*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**4 - 155*c**3 - 1110*c**2 + 1600*c + 2560 = 0. Calculate c.\nAnswer: -16, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594879.\nAnswer: 3, 47, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -87. Suppose -4*r - 236 = -5*y, -3*y - 5*r - c = -4*y. Calculate the highest common factor of 32 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1134 and 17252109.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, 29, 0.6, -2, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-350)\/(-476) + (-6)\/9*9\/12\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 19 = -12. Let j(f) = 4*f**2. Give j(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12279340 is divided by 12279325.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*w - 4*l - l, 4*w = -3*l. Let b be (-3)\/(-66)*(1 + w). Let s = 1.07 + -0.57. What is the biggest value in -0.2, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1\/25 - (-71680)\/4000.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -89*p**2\/10 - 301*p\/2 + 68\/5.\nAnswer: -(p + 17)*(89*p - 8)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((-1*sqrt(192) - sqrt(192)) + -1)**2 + 2 + 1 + sqrt(192) + sqrt(192) + ((sqrt(192) - -5*-1*sqrt(192))**2 - sqrt(192) - sqrt(192)) + -5).\nAnswer: 192*sqrt(3) + 23034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -626*j - 303. Let a be f(44). Is (47 + -53)*a\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 930*d**2 - 20823*d - 115192.\nAnswer: (d - 952)*(d + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**5\/60 - 455*m**2. Let a(h) = 2815*h. Give a(r(s)).\nAnswer: -2815*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 250118874 to the power of 1\/2, to the nearest integer?\nAnswer: 15815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -15058\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(-6))\/(1\/66). Suppose -3*x + j = x. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 + 16*o - 7. Let b be g(6). Suppose -3 = -18*u + b*u. Let l be (-3 - 5)\/(2*-1). Solve 5*k = u*i + 16, -l*k - 4 = -2*i - 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -11. Suppose w*p = 3*x + 75, 2*p + 2*x - 56 = -2. Suppose -p = -2*b + 136. Is b a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111010 + -11100110?\nAnswer: -1001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, s: 2, x: 4, c: 7}. What is prob of picking 1 s and 1 x?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*q - 52*q + 21*q)*(-3 - 6 - 5).\nAnswer: 826*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -176*n**2. Calculate w(1).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 134, 359, 674, 1079, 1574?\nAnswer: 2159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32491157?\nAnswer: 23, 1412659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 - 258 = -i - 3*g, 0 = -3*i + 4*g + 1261. Calculate the remainder when i is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.17127338 rounded to 2 dps?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1*15\/(6 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (276\/(-18) + 15)\/((1166\/12)\/(-11))?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8367 + 8366. Let q(s) = -19*s**3 - 2*s**2 - 3*s - 2. What is q(j)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4 + 6 = -u, -12 = 3*u + 3*p. Let w(f) = f + 6 + 5*f - 3*f. Let k(s) = -1. Let l(n) = -3*k(n) - w(n). Calculate l(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4)*2*(-1)\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20936?\nAnswer: 2, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 674902 + 693566 = 108*s. List the prime factors of s.\nAnswer: 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 11) to base 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.272 and 2?\nAnswer: 1.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9138)\/9 - (25\/(-3) + 8). Round g to the nearest 10.\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 8. Let k be a(-8). Suppose k = -4*d + 64 + 8. Suppose -3*l + d = -l. Calculate the remainder when 15 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2*(sqrt(108) - (2*sqrt(108) - sqrt(108) - sqrt(108))*-5) + 5)*3 + 2)**2.\nAnswer: 6120*sqrt(3) + 20885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -13*q**3 + 10*q**2 - 8*q - 9. Let k(x) = -7*x**3 + 5*x**2 - 4*x - 5. Suppose 9*l - 7*l + 22 = 0. Let y(p) = l*k(p) + 6*u(p). What is y(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 divided by 84?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 20 = -5*x, -22 = 5*x - 3*f + 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 m when four letters picked without replacement from {n: 1, q: 1, m: 4, i: 5, k: 1, x: 5}?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -351583 by 5.\nAnswer: -351583\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-72)\/6)*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -242 + 247. Suppose 1916 = r*t - 2*c, -2*t - c = -0*c - 770. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1)\/g*g**(2\/19)*((g*g\/((g*(((g**(-7)*g)\/g)\/g)\/g)\/g))\/g)\/(g*g**(-6\/7)*g) assuming g is positive.\nAnswer: g**(926\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105*g*j**2*z - 4*g*j**2 - 16*g*j*z**2 - 2*g*j*z - 5*g*z**2 + 2*j**2*z**2 - 2*j**2*z - 14*j**2 + j*z**2 wrt z?\nAnswer: -32*g*j - 10*g + 4*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2231?\nAnswer: 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*k**3*o*r*y + 54*k**3*o + 9*k**3*y - 2*k**2*y - 3087*k*o*r - 2*k - 7*o*r*y + 1 wrt r?\nAnswer: 3*k**3*o*y - 3087*k*o - 7*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - -34. Calculate the greatest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - (1 - -4))*45\/2. Let n = 65 - w. What is the lowest common multiple of 32\/6 + 1\/(-3) and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3074, 11910, 25448, 42716, 62742, 84554, 107180?\n\"Answer: -162*c**3 + 3323*c**2 + c - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 621 = -11*u. Calculate the remainder when 153 is divided by (4 + -1)\/(u\/598).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**8\/112 - 67*c**6\/12 - 2435*c**4\/24 - 317*c**2 - 3*c. What is the second derivative of w(j) wrt j?\nAnswer: 60*j**3 - 4020*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 0*c**2 + 0*c**6 - 1\/12*c**4 + 0*c**3 - 2\/21*c**7 + 0 - c + 0*c**5. Find the third derivative of d(t) wrt t.\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5083907 divided by 53.\nAnswer: 5083907\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -258*y - 5. Let c(b) = 255*b + 5. Let q(l) = -6*c(l) - 5*k(l). List the prime factors of q(-1).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*d + 129*d = 102 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 183*g**2 + 62*g**2 + 58*g**2 + 1 - 2 + 64*g**2 - g**3. Let l(k) = 6*k**3 - 12*k**2 - k + 4. Give -l(i) - 4*q(i).\nAnswer: -2*i**3 + 8*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -9 (c) -1 (d) -2.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1900) + sqrt(19) + 1.\nAnswer: 1 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 150*g + 17\/6*g**3 + 0*g**2 + 0. Calculate s(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 0*q**3 + q**3)*(-2*q**2 + q - q) - 2*q**5 + 0*q**2 + 0*q**2 - 2*q**5 + 0*q**5 + 3*q**5 - q**5 - 5*q**5 + 5*q**5.\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {c: 4, x: 2, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 5*j + 29 - 6, -2*v + 34 = 4*j. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11*f**3 + 47*f**2 - f - 11. Let g(l) = -5*l**3 - 23*l**2 + l + 5. Let t(z) = 13*g(z) + 6*h(z). List the prime factors of t(17).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5*w + 25, 2*w = 5*v + 3*w + 5. Suppose v = -2*u + 6, -4*u + 1 + 1 = -m. Calculate the greatest common factor of 40 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 5900?\nAnswer: 64900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3211 and 468.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -735b (base 13) to base 4\nAnswer: -3321122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 9. Let z(m) = m**2 + 7*m + 1. Let y(p) = -p**2 + 2*p - 4. Let f be y(0). Let g be z(f). Are g and t nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -411802, -411801, -411800, -411799, -411798?\n\"Answer: f - 411803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u - 49. Let r = 470 - 470. What is h(r)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4186 or -849896\/203?\nAnswer: -849896\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0702 - 0.1702. Which is the closest to -0.09? (a) 5 (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 2)*(3 - 2 + 2)*(1 - 1 - 3*r**2)*(1 - 1 - 2*r**2) as a*r**4 + w + x*r**3 + c*r + n*r**2 and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -173 - -520\/3. Factor 0 - a*k**2 + 2\/3*k.\nAnswer: -k*(k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002976977.\nAnswer: 3, 29, 11528471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13618.\nAnswer: 2, 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -534*q**5 + 3744*q**4 + 23*q**3 + 748*q**2 + 23031*q - 1.\nAnswer: -32040*q**2 + 89856*q + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -898, -928, -958, -988, -1018?\nAnswer: -1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -9*i**2 - i + 3. Let o be b(-2). Let v = -29 - o. Suppose 5*j = v*j + 15. Solve 5*y + 0*p + 3*p = 22, j*p = -5*y + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, 2, -195401, 36 in ascending order.\nAnswer: -195401, -5, 2, 8, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 1)*(-2*t + 1 - 1) + 2*t - 4*t - 3*t + 11*t + 13 - 13 + (t - t - 3*t)*(1 + 2 - 1) + 6*t - 2*t - 2*t to z*t + b and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0*m - 31. Let s = m - 18. Let n be (42\/s)\/((-8)\/14). Which is the closest to -0.2? (a) -0.5 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -627862*w**3 - 140192*w?\nAnswer: -3767172*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**3 - q**3 - 2*q**3 + (-2*q**3 + 2*q - 2*q)*(1 - 1 + 2) - 529*q**3 - 2 - 490*q**3 + 1017*q**3 + q**2 + 354*q.\nAnswer: -5*q**3 + q**2 + 354*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 8*d. Suppose -6*l + 3*l + 75 = 0. Suppose -3*x - l = -3*y - 16, x = -2*y + 18. Give r(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1417 from 14.\nAnswer: -1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 15983*h**3 - 4069*h**3 - 2915*h**3 - 3*h**2)*(-5 + 5 + 2*h).\nAnswer: -45934*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(16)*3)\/sqrt(288).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1621 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44, 95, 154, 221?\n\"Answer: 4*s**2 + 39*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 141 - 11. Suppose 2*c - 20 - d = -4*i, 5*c + 48 = 2*i. Calculate the remainder when (i\/(-16))\/(-3*3\/444) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2 - 576*y - 580 = 0.\nAnswer: -1, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + c**2 - 2*c + 2. Let b be n(0). Suppose 0 = 7*y - b*y - 25. Suppose 16 = -y*h + 301. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 324*l**2 + 3*l - 3. Let q be a(1). Suppose q*o - 18 = 315*o. Let r = 1.1 - 0.8. Sort r, 5, -2, o.\nAnswer: -2, r, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -11 (c) -0.3858 (d) -1\/7 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 4, -2\/11, -5, -6\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - n**2 - 13*n + 21. Determine b(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26169849 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*s + 4*o - 0, -5*s = 3*o + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -297? (a) -0.4 (b) -7 (c) 0.085 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -7449?\nAnswer: -7451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103 + 179. Suppose -289*z + 373*z = 196*z - 3584. What is the smallest common multiple of z and a?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156253 (base 10) in base 15?\nAnswer: 3146d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 860 and 4520?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 7 = -r, -3*w + 12*r + 13 = 8*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -950 + 955. Sort -5, 1, u, -1 in increasing order.\nAnswer: -5, -1, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h = 8521 - 835. Suppose 284 = 5*a - a + 3*g, 152 = 2*a - g. Calculate the remainder when h is divided by a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12122102010 (base 3) to base 16\nAnswer: -1b204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1282)\/(-20) + 13*13\/(-1690). What is the greatest common divisor of a and 480?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 3*b**2 + b + 2. Let h be c(3). Suppose -h = -3*j + 1. Let f = j - -4. 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: Let s be 23\/4*-2*-2. Suppose 2*l - 4*m = l + s, 0 = -5*l - 2*m + 71. Suppose -5*f = -o - l, -o + 19 = 3*f + 2. Calculate the highest common divisor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 - -223. What is the remainder when t is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*h - 2*q - 33, -13*q - 10 = -11*q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93890*k + 93801*k + 3609 - 10640 = 0 for k.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1167\/7 - -167. Let i = 0.19 + 0.21. What is the nearest to k in i, -1, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142 + 843. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5737722, 5737720, 5737718, 5737716, 5737714, 5737712?\n\"Answer: -2*y + 5737724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43.179 + 48.179. Let g = 0.06 + -3.06. Which is the second smallest value? (a) g (b) -1\/15 (c) 1.2 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17182, -16147, -15112, -14077, -13042?\nAnswer: -12007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6064989149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 1)*(h - h + h) - 23*h - 8*h - 54*h + 1 - 3 to r*h + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 2340522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from ozioh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*z = 30 - 3, 12 = -s - 2*z. Sort 5, 1, s.\nAnswer: s, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 130*u - 17. Determine s(50).\nAnswer: 1483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.8, 2, -2\/2543, -13, 5\/6 in decreasing order.\nAnswer: 2.8, 2, 5\/6, -2\/2543, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 4, t: 2}. What is prob of picking 2 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from yyacexcyacyxyy.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 0 - (18 - 27 - -5) - 26.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 219.7361ng to tonnes.\nAnswer: 0.0000000000002197361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, 1\/3, -2\/109, 0.1, 2\/7, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4 + 1620*k**3 - 6447*k**2 + 8046*k - 3216 = 0 for k.\nAnswer: 1, 2, 536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/((0 - 6) + 7). Let q = 10 + -4. Let l = q + -5. Sort 1\/2, k, l.\nAnswer: k, 1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-17))\/d**14)\/((d\/(d*d\/(d*(d*d**(-1\/7)*d)\/d*d)*d)*d*d)\/((d**17\/d)\/d*d)))**(2\/57) assuming d is positive.\nAnswer: d**(80\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - s - 1)*(-123 + 123 - 15*s)*((3 - 1 - 3)*(-2 + 2 + 1) - 2 + 0 + 4 + 3 - 2 + 1) to p*s**2 + b + d*s and give p.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**2 - 65*q - 25. Determine u(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*u + 4533 = u, 2*z - 2267 = -u. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -591046.\nAnswer: 3\/591046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 4 (c) 0.03 (d) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 219*b**4 + 6526*b wrt b.\nAnswer: 2628*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/11 + 202*m\/11 + 2136\/11.\nAnswer: 2*(m + 12)*(m + 89)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9432*5\nAnswer: -47160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 77*g**2*p + 11*g**2 - 2*g*p + 2*p + 77 wrt p.\nAnswer: 77*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -2.7, -5, -1\/7 in decreasing order.\nAnswer: -1\/7, -2, -2.7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 85 = -3*v. Suppose 2*p - 80 = 4*i, 5*p - 4*i = 94 + 88. Let o = v + p. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6*((-128)\/(-24))\/(-8) + 2849.\nAnswer: 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 68?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 9\/(-5))\/(77\/(-154)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -11020, -3, -14, -5, -1 in decreasing order.\nAnswer: 4, -1, -3, -5, -14, -11020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 63860338 and 13567.\nAnswer: 63873905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 5*d**2 + 5*d - 5. Let o = 154 + -151. Let j be (-3 - o) + 8 + 2. Give t(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18180 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7473108 months to millennia.\nAnswer: 0.0000622759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -232227*q + 232226*q - 92*j + 430, 5*q + 140 = -2*j for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 20. Let s be i(-14). Let m = -5 - -13. Suppose 3 - m = -f. Which is greater: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164, -157, -146, -131, -112?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3)\/d)\/d**(6\/7))\/(d**(1\/5)*d*d**6*d) assuming d is positive.\nAnswer: d**(-1021\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 449037 and 87?\nAnswer: 448950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 4*x**2 - 27*x - 38. Let w be f(-7). Suppose 3*y - 9*q - 7494 = -4*q, -4*y = -w*q - 10000. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -8. What is the closest to -0.1 in 0.3, y, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*j = j + 66, 2*j = -4. Let w(x) = x**2 - 25*x + 30. Let d be w(s). Is 20 a factor of 2\/4 + 681\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3))\/((-11)\/66). Let r be 13\/((-39)\/(-18)) + v. Determine l, given that 2*l**5 - 155 - 2*l**r + 155 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + (sqrt(88) - -3*-3*sqrt(88) - sqrt(88))\/(sqrt(8) + sqrt(8) + sqrt(8) + sqrt(16)\/(sqrt(2)*2)))**2.\nAnswer: 36*sqrt(11)\/7 + 3711\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 + 6*o**3 + 7*o**2 - 96*o + 144.\nAnswer: -(o - 4)*(o - 3)**2*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1734*s**2 - 3672.\nAnswer: 3468*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 6) in base 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 3. Let p(h) = -3*h**2 + 2*h - 8. Let f(t) = -t. Let s(q) = 2*f(q) + p(q). Let l(z) = 8*b(z) - 3*s(z). Let g(o) = 3*o**2. Determine g(l(m)).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2. Let r(k) be the third derivative of -85*k**4\/24 + 27*k**2. Calculate r(u(w)).\nAnswer: -85*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000117513 to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34923, -34931, -34939, -34947, -34955?\nAnswer: -34963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-10))\/(12\/40)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.00533 kilograms to nanograms.\nAnswer: 3005330000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)*x*(x**0*x*x)\/x)**(-15\/4) assuming x is positive.\nAnswer: x**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -148443, -296864, -445269, -593652, -742007?\n\"Answer: o**3 + 2*o**2 - 148434*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153379 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t - 2*t + 5*t + 2552745*t**2.\nAnswer: 2552745*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1029 * 0.3\nAnswer: -0.03087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29\/5 of a millennium?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2) + 5 + sqrt(12)\/sqrt(6) + sqrt(2) - sqrt(2)).\nAnswer: 12*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) - ((sqrt(54)\/sqrt(2) - sqrt(27)) + 5).\nAnswer: -5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5\/9)\/((w*(w\/w**10)\/w*w)\/w)*w**(-18)\/(w**(1\/47)\/w) assuming w is positive.\nAnswer: w**(-3628\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**4\/6 - c**2. Let f(n) be the third derivative of n**4\/24 + n**2. Suppose -2*u - 122 + 110 = 0. Give u*f(v) - d(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15807 = 8*d + 1882*d - 61167 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 40 + 40. Let s be (k\/(-4))\/(-2 - -3). Suppose -j = -s + 4. Solve -2 - j = -r + 2*f, -r + 3 = f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -647620433\/20 - -32392868. Let i = c + -11844. Find the common denominator of -101\/6 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 g when three letters picked without replacement from ihhiihhhihgighiiii.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**5\/4 - 5*j**3\/2 - 5*j**2 + 12*j. Solve m(q) = 0 for q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 - -2. Let s = -5.1 + j. Which is the smallest value? (a) 5 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**3 + 108*h**2 - 105*h. Let m(c) = -30*c**3 - 650*c**2 + 630*c. Let q(f) = -4*m(f) - 25*w(f). Solve q(i) = 0 for i.\nAnswer: -21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (4 + -2 - (4 + 5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 968 and 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1725828959?\nAnswer: 229, 7536371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(198\/(-275))*8\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45\/11 in 122, -0.2, -142, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16932490*v**3 + 127832*v + 180.\nAnswer: -101594940*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -1.744388 (c) -4 (d) -3\/2 (e) -2\/31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10622, 71390, 232432, 543884, 1055882?\nAnswer: 1818562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(-24) + (-54)\/(-16) and -29\/28?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 768.4 + -973.08. Let p = 3.68 + l. Let d = 200.99919 + p. What is d rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/(-765)*(-1755)\/4030?\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 9:02 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -34.44 times -7\nAnswer: 241.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -8.11, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)\/(y**(-2\/9)*y))**(2\/67)*(y**(-13)\/y*y\/((y*y\/(y\/y**(-8)))\/y))**(2\/15) assuming y is positive.\nAnswer: y**(-524\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -1, 3\/7, -5, 15704.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 871, 3, 1 in descending order.\nAnswer: 871, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17.1 in 4, 1\/2, -3, 3.6, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 3503*l. Let h(o) = -26*o**2 + 44*o + 4. Let v(r) = 86*r**2 - 143*r - 13. Let b(d) = -13*h(d) - 4*v(d). Determine k(b(y)).\nAnswer: -36*y**4 + 21018*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**5\/100 - 3*j**4\/20 - 7*j**3\/10 - 11*j**2\/10 - 104*j. Factor c(k).\nAnswer: (k - 11)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34491024 divided by 16.\nAnswer: -2155689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 4?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -4 - 0\/3. Let w(y) = -y + 6. Let u be w(a). Suppose -25 = -5*j, -2*j = -4*q + j - u. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -2621, -9, -1\/11, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32, 68, 106, 146, 188, 232, 278?\n\"Answer: t**2 + 33*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3687\/41786 - (-954)\/(-408).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 7. Let c be x(-5). Let j(h) = 3*h**3 - 2*h**2. Let z(v) = -4*v**3 + 3*v**2. Give c*j(a) + 2*z(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 0*x - 3*x + (-1 + 2 - 2)*(106*x + 163*x + 744*x))*(x - x - 2*x**3).\nAnswer: 2024*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14569579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10501 = 477*j + 484 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002738 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8321*w - 9062*w**2 - 2616*w**2 + 8321*w.\nAnswer: -11678*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + (-4 + 3 - 2). Solve -3*h - z = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190269, -190322, -190423, -190584, -190817?\nAnswer: -191134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/28*7\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c - 3*k - 211775 = -18*c, 0 = -4*c + 2*k + 211774. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**(-12)*b)\/b*b)\/b**(-13)*(b*(b\/b**(9\/2))\/b)\/b**1 assuming b is positive.\nAnswer: 1\/sqrt(b)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2423 - -2415) + (2 - (1 + (31 - 0)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9578891 or 9578890?\nAnswer: 9578890","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-1))\/((-18)\/(-3321)). Let k = c + 72. Suppose -7*n = -16*n + k. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o**2 - 9*o. Let x(a) = 4*a. Calculate x(k(j)).\nAnswer: -44*j**2 - 36*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7 = 2*s + s, -3*s + 2*q = 10. Let g be -3 + 0 + 6 + s. Is 7\/5 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19519 is divided by 1082?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 382 + -545. Let v = k - -166. Suppose u + 4 + 1 = 0. Sort v, -1, 24, u in decreasing order.\nAnswer: 24, v, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 1, -1, 2 in increasing order.\nAnswer: -1, 2\/19, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-18))\/(2\/(-3))*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -443159 > -443157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 13012?\nAnswer: 12333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, q: 6}. What is prob of picking 2 q?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 5 (b) -5 (c) 4 (d) 9.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-78))\/((-8)\/144). Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65247463643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/144 - 2003*(-1)\/211. Let f = -3\/422 - q. What is the common denominator of ((-46)\/8)\/(4\/(-2)) and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 43 - 41*u - 17 - 19.\nAnswer: -41*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-1) - (-2)\/(-1). Calculate the lowest common multiple of 70 and 1 + (-110)\/t + (-2)\/(-3).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 minus 20549?\nAnswer: -20548.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -378, -2\/9, 2\/15, -221, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 557 = 3*j, -g + j - 17 + 578 = 0. Calculate the greatest common factor of 48 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 9 + 7)*(0 - 1 + 4 - 2*s**2) + (s**2 + s**2 - 6*s**2)*(-4 - 1 + 0) to the form h*s + t*s**2 + a and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 220324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010001 (base 2) in base 15?\nAnswer: -de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opbvvpvyvpobbbbvbvpv. What is prob of picking 1 v and 2 o?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/52 and -25\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -11*l**3 + 8*l**2 - 14. Let w(n) = 0 - 1 - 4*n**3 + 3*n**2 - 4. Let k(t) = 3*c(t) - 8*w(t). Differentiate k(v) wrt v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*d)*(-19 - 48 + 9) + 5 + 16*d - 5.\nAnswer: 132*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 352.8809 litres in millilitres?\nAnswer: 352880.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**2 + 0*s**2 - s**2 - s**2 + 4*s**2 - 4*s**2 + (3*s - 4*s - 4*s)*(0*s - 3*s - 6*s) to the form u + i*s + a*s**2 and give a.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -b, -80 = 4*k + 2*b. Let z(o) = 2*o - 8. Let v be z(5). Suppose 5*r - v*r + 63 = 0. Is k at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*i**2*w**2 + 22117818*i**2*w + 12124*i*w - 908*w**2 + 4 wrt i.\nAnswer: -16*w**2 + 44235636*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 82?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 12*d**5\/35 - 11*d**4\/7 + 44*d**3\/21 - 2*d**2\/7 - 8*d\/7 - 7. Let m(x) = 0. Calculate x.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -2\/5, -0.02, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 508677763 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-8\/11)*(v\/(v*v**(-1\/21)))\/v assuming v is positive.\nAnswer: v**(179\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92.28 - -0.28. Let r = j - -95. Let k = 5 + -8. Sort -2\/9, k, r.\nAnswer: k, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 13. Give h(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4206176 is divided by 525770.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1825002 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 31*z - 8. Let j(d) = 1. Let n(r) = c(r) + 6*j(r). Is 46 a factor of n(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/130 + 3\/13. Let i be (-88)\/(-20)*3\/36. Let y = i + h. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.13, 2\/3, -6, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkllnrz. Give prob of sequence rkl.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.93551 and -97?\nAnswer: 97.93551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 32*m**6\/75 - 4*m**5\/25 + m**4\/60 + 37*m + 1. Find s, given that d(s) = 0.\nAnswer: 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -8 - (53 + -68).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -91 and 18677191.\nAnswer: 18677100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 482065, 964115, 1446161, 1928203?\n\"Answer: -2*j**2 + 482056*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -25, -95, -243, -493, -869, -1395?\nAnswer: -2095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (15\/((-360)\/(-16)))\/(-4)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12652677 and 599?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22421 - -48?\nAnswer: -22362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 19285\/88 and 219 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + ((-355)\/(-4))\/(-5). Let l be (-1)\/10*331\/(-2). Let i = q + l. Put i, 5\/6, -2\/5 in decreasing order.\nAnswer: 5\/6, -2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-58 - -19)) + -20?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 4)*(4*z**4 - 5*z**4 - z**4 + (z + 4 - 4)*(-z**3 + 5*z - 5*z)) + (3*z**3 - 2*z**3 + z**3)*(0 - z + 0).\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**4 - 10*b**3 - 10*b**2 + 10*b + 14. Let y = -136 - -138. Let k(h) = -2*h**4 + h**2 + h - 1. Let r(f) = y*k(f) - l(f). What is j in r(j) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 0 - (-22 + 16 + 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 307 - 274. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-62)\/((-2)\/1))\/(-1). Let l = 51 + k. What is the greatest common divisor of l and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11efe - -4?\nAnswer: 11f02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i**2 + 2*i**2 - 8*i**2.\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 7\/8, -2\/11, 0.09?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**4 - 2 - 76822*r + r**4 + 76823*r + 2*r**3 in the form i*r + f*r**4 + x*r**3 + m + g*r**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 3:23 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 20, -x + 3*l = -2*x + 263. Suppose x = p + 4*p + 5*d, -3*p = -2*d - 150. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114.03935 + -0.03935. What is the third smallest value in 0.3, -0.5, -0.2, -3, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l**3 + 7*l + 7*l**3 - 2*l + 22*l**3.\nAnswer: 53*l**3 + 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 495 and 1265.\nAnswer: 11385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g - 72 = -666. Solve -g*v = -47*v + 98 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37701 - 923 + 2*x + 107 + 33926.\nAnswer: 2*x + 70811","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 230*g**2 - 402*g + 17. Is v(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 113, 327, 647?\nAnswer: 1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/779 + -14963\/21033. What is the common denominator of 14\/(-6)*3\/(-33) and c?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -232, -10, 0 in increasing order.\nAnswer: -232, -18, -10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -467.027 - -469.47171. Round b to 2 decimal places.\nAnswer: 2.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooi when three letters picked without replacement from {l: 1, i: 1, q: 2, g: 1, o: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*-1*sqrt(528))\/(sqrt(396) + sqrt(396)*1*4).\nAnswer: 8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*f - f - 3*h, -47 = -3*f + 5*h. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 + 10*t**3 + 37 + 0*t**3 + 5*t**3 - 4*t**3 + (0*t - t + 0*t)*(-t**2 + 3*t**2 - 3*t**2) to the form d + s*t**2 + c*t + u*t**3 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.983.\nAnswer: -0.0983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1917 and 282651.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**4\/24 + 3*f**3\/2 - f**2. Let p be o(5). Let d = p - 3. Solve -5*z - d = -5*s + 24, 0 = -3*s - 4*z + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1593 + 1592.5. Let x = -0.33 + 0.3. Let t = 4.1 + -2.1. Which is the fourth biggest value? (a) x (b) v (c) t (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7618 + 7507.6. Round o to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = a - 3*k + 6, 3*k - 20 = -2*a. Calculate the remainder when 5 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 72098000 rounded to the nearest 1000000?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 34 = 4. What is the highest common factor of 165 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-32 + 40 - ((51 - -4) + -4))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 20?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-3))\/(12\/54). Let t be ((-4)\/p)\/(6\/(-117)). Let i = t + 17. Solve 2*n + k + 4 = 0, i*k - 2 = -2*n - 0*k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1800514.\nAnswer: 2, 97, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaa when three letters picked without replacement from {f: 1, o: 4, k: 1, x: 2, a: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 6*b**2 - 3. Let i = 49 + -42. What is the remainder when o(i) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22843275 rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*w + 29, 3*g = -4*w - 13 + 30. Suppose 0 = -5*z + 3*j - 39, 0 = -3*j - 8 + 2. Let x be -2 - -4 - (-1)\/(-1). Sort z, g, x.\nAnswer: z, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-9)*(-15)\/(-20)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2455 + -1712. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -1, -0.4, 4 in descending order.\nAnswer: 4, -0.4, -6\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5305)\/2122)\/(102\/(-20) + 5).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.9597 + 0.0403. Which is the closest to 2? (a) -0.08 (b) u (c) 2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 16*x - 5*r + 9 = 0, -2*r - 6 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 326*f**7\/105 + f**6\/40 - 322*f**5\/15 - 1598*f**2. Find the third derivative of j(y) wrt y.\nAnswer: 15648*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -374 - -371. Which is the nearest to -18? (a) w (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1241, 3, 19, -5.\nAnswer: -1241, -5, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zsz when three letters picked without replacement from zzs?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -42*a + 4*k - 30 + 57, -2*a - 3*a - 4*k - 15 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3 - 27. Which is the third biggest value? (a) -2 (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 81, 156, 243, 336, 429, 516, 591?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 46?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**2 - 22*o + 11289 wrt o.\nAnswer: -4*o - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 30.7.\nAnswer: -521.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 21 - 2*s**2 + 28 - 45 to the form k + d*s**2 + t*s and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-240))\/(14\/(-189)*-9)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.97901mm in nanometers?\nAnswer: 98979010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + v + 1. Let m(s) = -5*s**3 - 4*s - 4. Suppose -x - 4*x - 5 = 0. Determine x*m(o) - 4*h(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 - 38537*z\/3 - 4763212\/3.\nAnswer: -(z + 124)*(z + 38413)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 + 41 + 14)*(8*r**2 - 8*r**2 - 3*r - 3*r**2 + (-r + 2*r - 2*r)*(6 - r - 6)).\nAnswer: -208*r**2 - 312*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 54 = 11*u. Let m = -11 + 17. Suppose m*q = q + 60. Calculate the highest common divisor of u and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(28\/(-8) - -4). Suppose 5*k - 34 = k + 2*n, a = 5*k - n - 44. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, 0.21, 3, -2\/11 in ascending order.\nAnswer: -2\/11, 0, 0.21, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -2)*9\/(-18). Suppose -5*o - 5*a + j*a = -10, -2*o + 4*a = -10. What is the units digit of (-6)\/o*-26 - 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -40) + -10 + -20 - (0 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 a when four letters picked without replacement from {k: 1, l: 11, a: 7}.\nAnswer: 385\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 22. Let p(o) = o**2 - 3*o. Calculate p(k(u)).\nAnswer: 4*u**4 + 82*u**2 + 418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + i**3 + 0*i**2 - 2*i + 0*i**2 - 2*i**4 + (2 - 1 + 2)*(268*i - 268*i - 75*i**4) - 2*i**4 - 2*i**4 + 0*i**4.\nAnswer: -231*i**4 + i**3 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**5 + 88*g**4 + 1370*g**3 + 8620*g**2 + 17528*g + 10192 = 0. What is g?\nAnswer: -14, -13, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, 8, -72, -2.\nAnswer: -72, -9, -3, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -0.1, 1.8, 19270?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -0.73\nAnswer: 0.657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/10 and 106\/33*(-6)\/4?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.6 (b) 3 (c) -3 (d) 1\/5 (e) 5 (f) 1 (g) -0.3814\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 10. Let p(f) = -f**2 + 6*f + 33. Let x be (-14)\/4*160\/(-56). Let s be p(x). Calculate u(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - (1 + 0 + (66 - 8) + -69).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjqqjqqqqqqjjq. What is prob of picking 4 q?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -620 + 625. Which is the biggest value? (a) 1.36 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 70, 162, 290, 454?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -15726*n**3 - 15*n**2 + 15*n + 5. Let m(h) = -115413114*h**3 - 110082*h**2 + 110082*h + 36694. Give 5*m(a) - 36694*z(a).\nAnswer: -15726*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + (sqrt(320) - (1 + sqrt(320))) + 3 + sqrt(320)*2 + (sqrt(320) - (-5 + sqrt(320) + -1))*-4)**2.\nAnswer: -736*sqrt(5) + 1811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/15)*w\/(w*w**5))\/(w*(w*w\/w**(-1\/3))\/w)**48 assuming w is positive.\nAnswer: w**(-1753\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 2 - 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -76\/9*w**2 - 28\/3 - 164\/9*w + 4\/9*w**3 = 0.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 223.\nAnswer: 111.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11123 + 131203?\nAnswer: 202332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((236 - 217) + (-8 + 0 - -1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 1:04 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w - 3. Let m(r) be the second derivative of r**3\/6 + r**2\/2 - 87*r. Calculate -m(y) - q(y).\nAnswer: -4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111720 is divided by 6680?\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-234)\/(-24))*9\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383292 = 32*v - 43*v - 31*v. Is v a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(48) + sqrt(48))\/sqrt(2))\/(sqrt(128) + sqrt(128)*-2) + -2*sqrt(3)*1 + (sqrt(9)\/sqrt(12))**2.\nAnswer: -2*sqrt(3) + 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**3 + 2298*a + 32*a**3 - 2298*a.\nAnswer: 23*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32 - -1874?\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -775, 253, 2 in decreasing order.\nAnswer: 253, 10, 2, 0, -775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0)\/(4*-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22244 and 670.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 10*w + 207. What is the remainder when n(20) is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**4 - 249330*o**3 + 6230740*o**2 - 30653070*o + 42614055 = 0.\nAnswer: 3, 19, 49841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -442364, -884680, -1326996, -1769312?\n\"Answer: -442316*v - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**3 + 5*p**2 - 20*p + 13. Let b(d) = 3*d**3 - 4*d**2 + 16*d - 14. Let j(a) = 5*b(a) + 4*k(a). What is j(0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.0149, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9*(-1)\/(-45)*10. Solve -144*z**4 - t*z + 2*z**3 + 0*z**3 + 289*z**4 - 144*z**4 - z**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 6*h**2 + 4*h - 7. Let w be 5\/(2 + -1 + -2). Let r be t(w). What are the prime factors of (-1 - r) + -2 + 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*8\/100*10\/((-880)\/(-198)).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3283 + 3327. Solve 0 = 2*f - n + 42 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + c = 3*c + 8, 5*c + 2 = -2*p. Let x = p - 2. Let s = 0 + x. Solve 4*h = s*d + 6, 0*d + 2*d = 5*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*n - 12 = 0, -5*n + 75 = 4*k + 21. Calculate the least common multiple of 20 and 54 - ((-2)\/4)\/((-4)\/k).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(((-20)\/(-2))\/5). Suppose 0 = m + m. Let t be (-1)\/(-1 - (-2 - m)). Put t, 3, h in descending order.\nAnswer: 3, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*x**4 + 883608*x**3 - 8*x**2 + 358*x - 619.\nAnswer: 360*x + 5301648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -14*k - 2. Let h be c(-4). Suppose 3*m = 5*m - h. What is the remainder when m is divided by ((-161)\/(-21) - 7)*21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 24. Suppose -22 = -4*t + 2*s + 8, t = 3*s + 20. Suppose -t = -3*w - 2. Which is the nearest to 0.1? (a) -1\/6 (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -31 + 21 - (-9 - 4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 438019634 to the power of 1\/2, to the nearest integer?\nAnswer: 20929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*q - 11*q - 5*q**2 + (-4 - 2 + 7)*(4*q**2 - 6*q**2 + 0*q**2))*(0 + 0 + 10*q + (2 - 1 - 2)*(q - 3*q + 4*q)).\nAnswer: -56*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 782045450 to the power of 1\/3, to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -136*i - 1655. Give m(-16).\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 610342545 to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1460 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 2, 4\/7, -77\/4 in ascending order.\nAnswer: -77\/4, 1\/3, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(7) + sqrt(21)\/sqrt(3))*-6 + 4 + (-1*(sqrt(56) - (sqrt(56)*-2 + sqrt(56))))\/(4*(1*sqrt(8) + sqrt(8))))**2.\nAnswer: -392*sqrt(7) + 17063\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**2 - 3901*a - 1274?\nAnswer: 2*a - 3901","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, y: 17}. What is prob of sequence ny?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-20))\/(4968\/270)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 167 + -44. Is x a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q + 1. Calculate j(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*u = 51*u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = r + z, -68175*r + 67933*r + z + 482 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*u*z**3 - u*z**2 - 13*u - 2*z**3 + 13*z**2 - 590*z wrt z.\nAnswer: 210*u*z - 2*u - 12*z + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579924*p + 190 = -579929*p for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 28, -3, 118\/183?\nAnswer: 118\/183","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10800.9974716 - -10801. Round f to 5 dps.\nAnswer: 0.00253","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 m, and 1 u when three letters picked without replacement from mumyyymmmy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/33 and -61\/308.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111653?\nAnswer: 111653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32022 is divided by 456?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 7. Let h = -11 - w. Let j be h + (-1 - 16\/(-4)). Solve -n - 15 = j*n, -12 = -5*v + 4*n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 4730.\nAnswer: 3\/4730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 259*c**4 + 24*c**3 + 5097*c**2 - 3 wrt c.\nAnswer: 6216*c + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 2. Calculate u(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*(1 - 13) + -1 + 4. What is the closest to -1\/3 in -20, 2, y, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 103155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 28*c**2 - 30*c + 51. What is the least common multiple of 14 and v(29)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1247 - 1181. Suppose 0 = -l + 21 - 58. Let k = l + r. Calculate the remainder when k is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2950 minus -15?\nAnswer: -2935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.8 + 3. Let g = 0.2 - j. Let l be 2\/(-7) + 150\/35. What is the nearest to g in l, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4) - (-27)\/6. Suppose j + v*b - 11 = -0*j, -j + 1 = -2*b. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 634816 + -15?\nAnswer: 634801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*q**3 - 2 + 39*q + 12*q**2 - 39*q - 12*q**2 - 29*q**3.\nAnswer: -115*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4686 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n = -21*n + 14, 2*q + 5*n - 47191 = 0. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 1\/2*q**2 + 2 + 7*q. Give b(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336144 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 373 + 3*z - 150*z**2 - 3*z - 376 to the form w + f*z**2 + u*z and give f.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, 5, 19, 39, 65, 97, 135?\n\"Answer: 3*r**2 - r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1468*o + 2943. List the prime factors of t(13).\nAnswer: 22027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 v when three letters picked without replacement from ooopooowwwwov?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 153, 49, -305, -897, -1715, -2747, -3981, -5405?\n\"Answer: 2*f**3 - 137*f**2 + 293*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/12)\/((-5)\/(-630)). What is the highest common divisor of g and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 0*w - 5*w)*(-2*w + 2*w - 2*w) + 0 + 2*w**2 + 0 - 5*w**2 + w**2 - w**2 as l*w + b + f*w**2 and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 538504 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*u - 4720*u**2 + 4877*u**2 + 9*u)*(5 + 7 - 3) to f*u**2 + t*u + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9864 and 801587.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a. Let p be s(-1). Suppose 0 = 4*k - 3*k - 38*k + 74. Solve -k*z - 2*l = -z - 1, -p*z + 2*l + 4 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -27. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a = 113 - 136 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -3*c + 57 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 12 = 5*r. Let l be ((-4)\/r - 33) + 4. What are the prime factors of (-10)\/(-12)*l\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 - -2) + 1)\/(1\/3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 178.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 35572 (base 8) to base 15\nAnswer: 47a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**4 + 5*o**3 + 1755341*o**2 - 476429*o - 37?\nAnswer: -12*o**2 + 30*o + 3510682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (2 + -4)) + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -263, -1142, -2615, -4688, -7367?\n\"Answer: -j**3 - 291*j**2 + j + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-37698)\/(-72) - 9. Let d = -1051 + r. Is -13 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 7:06 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 16*o - 4. Let s be y(4). Suppose 6*n - n - s = 0. Suppose -z + 1 = -4*l + 7, -5*z - l = -n. What is the highest common divisor of 6 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Sort 3\/4, -19, -4 in decreasing order.\nAnswer: 3\/4, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 61 - 61 - 21*o**2 + 22*o**2. Let z(c) = 17*c. What is z(t(d))?\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/8 + (-17)\/(-4). Suppose -q - 45 = -a*w + w, w + 5*q + 1 = 0. Solve 0 = 5*u + w + 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31025 (base 6) to base 3\nAnswer: -12122122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 7*m**6\/30 + 5*m**3\/6 - 15*m. What is the second derivative of z(g) wrt g?\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 smaller than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 4:58 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -21. Let r be 9043\/h - 1\/(-1). Let v = -1524 + r. What is the common denominator of -119\/6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3\/4 + 2655*d**2\/4 + 1986*d + 1323 = 0. What is d?\nAnswer: -882, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-5))\/(4\/20). Let o(c) = -2*c - 2*c + g - 1. Does 16 divide o(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x. Let h(u) = -12*u. Let y(c) = -30*c - 11. Let t(j) = -6*j - 2. Let v(l) = -11*t(l) + 2*y(l). Let r(n) = -6*h(n) - 11*v(n). What is k(r(o))?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3003\/8? (a) 11 (b) 0.5 (c) -1\/4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 671858\nAnswer: 134371.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 558, -8, 625 in descending order.\nAnswer: 625, 558, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 plus 725347674922?\nAnswer: 725347674884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111 and 42069?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, y: 4, n: 6, j: 4, i: 4}. What is prob of picking 1 i and 2 h?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 761*h.\nAnswer: 761*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*t - 6*t + 39 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*h - 83*h - 5*u + 65, -4*h - 3*u = -58. Solve -4*p - 3*x + 0*x + 18 = 0, -5*p - 2*x + h = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 3*m + 2. Suppose 7*g = 8*g + 1. Let z = 2 - g. Suppose 4*s + 3*y = 21, -3*y + 9 = z*s - 9. Determine p(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 4:45 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 x, and 1 q when four letters picked without replacement from xxacqxaakaaqcka.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8555735 is divided by 8555696?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 6. Let j = m + 0. Which is the third biggest value? (a) -0.4 (b) j (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-218)\/(-4))\/(-3 + 35\/10). List the prime factors of n - (-1)\/((-5)\/(-20)).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1212326*g - 984076 with respect to g.\nAnswer: 1212326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/7)\/(u*u*(u*u**(-10)*u*u)\/u)*(u*u*u**(-2\/3))**(-2\/59) assuming u is positive.\nAnswer: u**(7555\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*l + 5*n, -4*l + 7 = -l + 5*n. Let a be (0 + -4)*l\/2. Let f(q) = -4*q + a*q - q. Let p(v) = -v**2. Calculate p(f(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 183103 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**3\/5 + 30168*b**2\/5 - 18159*b - 2655576\/5 = 0?\nAnswer: -10059, -8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -1200?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 16. Is 856\/24 - 2\/i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, e: 7, c: 2, t: 3, w: 1}. What is prob of picking 3 e and 1 j?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -4\/7 (c) 0.07 (d) 5681 (e) 1\/3 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1396*b + b**4 - 1398*b + 561*b**3 + 1 - 2*b**4 - 100*b**3 - 2*b**4 as m + r*b**2 + d*b**4 + a*b + n*b**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 = -1. Let v be 3\/(-3 + p - -2). Let g = 4 + v. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270809 divided by 77.\nAnswer: 3517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 394.3656 centuries?\nAnswer: 3943.656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375, -401, -437, -489, -563, -665, -801, -977?\nAnswer: -1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17842777151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/8)\/b)\/(b*(b*b*b**19)\/b))\/(((b*b\/(b*b*b*b**(8\/11)*b))\/b)\/(b*b*b**(-1))) assuming b is positive.\nAnswer: b**(-1531\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 + 105 = 5*n + 2*d, -2*n = 5*d - 97. Calculate the remainder when 246 is divided by n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100 (base 2) to base 7.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 - -32?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1580507533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.386036 hours to seconds.\nAnswer: 4989.7296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 + -210. Let z = p + 383\/4. Find r such that -z*r + 1\/2 + 1\/4*r**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*(-112)\/756)\/(1\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -47 (c) -0.4 (d) -3\/25 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 6*k**2 - 17*k + 1. Let b be q(-8). Suppose -2*h - 3*a = 15, 9 = -h - h + 3*a. List the prime factors of h\/27 - (-632)\/b.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(42\/(-1365))*-47. Calculate the highest common factor of 52 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1178 by -589.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 14. Let t = j - -3. Suppose t = -14*p + 15*p + 25. What is the common denominator of 71\/12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5)*40\/(-88). Sort -0.5, o, 0 in increasing order.\nAnswer: -0.5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 10 = 0, -o - 5*i + 50 = -64 + 136 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81485 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 8 (c) -4 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2372568.\nAnswer: 2, 3, 11, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 7. Let s(c) = -c**3 - 3*c**2 + c - 3. Let x be s(-3). Let n(p) = 3*p + 13. Let k(m) = x*n(m) + 11*a(m). Calculate k(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 16 = -q, -3*w + 12 = -3. Let p(r) = -r**2 + 8*r + 1. What is the remainder when (72\/(-10))\/(3\/(-10)) is divided by p(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -5*z. Suppose -l - 4*l = -30. Is 13 a factor of 2\/(l\/135 - z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 721602.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssstrrrgtgr. Give prob of picking 1 s and 1 r.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203846009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 5. Let n(k) = -6*k + 17. What is 11*c(h) + 4*n(h)?\nAnswer: -2*h + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.128 or 109\/8?\nAnswer: 109\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5 - 5 - 14*u.\nAnswer: -14*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*g**2 - 126*g - 178 + g**2 + 1496 + 181 wrt g?\nAnswer: -6*g - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*p**4 + 5 + 681*p**2 - 2*p**3 - 679*p**2 in the form o*p**4 + d*p**3 + t*p + w*p**2 + x and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**4\/6 + p**3\/2 + 3*p**2\/2 - 21*p - 6. Calculate x(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*x - 5*n + 4, -5*x + 3*n - 40 = 0. Let v(p) = p**2 + 2*p - 9. Let y be v(x). Suppose -y = -q + 2*c, -3 = c - 5. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(((-195)\/18)\/13)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/(10\/(-12))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 720 and 28680?\nAnswer: 172080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 16*p + 14*p = 3991, 4*p = g - 3999. List the prime factors of g.\nAnswer: 7, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b9fb0 (base 16) to base 10\nAnswer: 1810352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2*q + 87, -4*q = c + 4*c - 143. Let w = 41 - -11. Let s = w - c. What is the highest common factor of 42 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -53ed + 66?\nAnswer: -5387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**3 + 324*w**2 - 302*w - 2029. Determine u(107).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.05 (b) -1\/2 (c) 5 (d) -1\/6 (e) 2614\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 11*m**2 + 22*m. Calculate i(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 105.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*m - 25*m**3 - 2*m**2 - 52*m + 28*m in the form n*m**3 + w + i*m + p*m**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*t = -167*t - 4200. Suppose 4*q = 1011 + t. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 1000, 90, -2, -1, 0, -12 in decreasing order.\nAnswer: 1000, 90, 0, -1, -2, -12, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*c + 15, 5*l - 5 = -20. Let i be (-10)\/(-1 - 0) - c. Let m be (-1450)\/(-110) - 2\/i. Calculate the greatest common divisor of 91 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44171*j + 44171*j - 4*j**2 + j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 64*m**2 + 6*m + 6. Let r be ((-6)\/12)\/(1\/14). Let h be t(r). Suppose 4*z - h = -z. What is z rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 0.0142?\nAnswer: -0.2858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.16 - -0.04. Which is the biggest value? (a) -0.2 (b) s (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k**3 - 11*k**2 + 5*k + 19. Calculate y(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287, -493, -631, -689, -655?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -70, -111, -154, -199, -246, -295?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1683360 and -111\/196.\nAnswer: 11783520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 1\/60*i**6 + 0*i**4 - 3*i**2 + 0*i**3 + 0*i + 0 - 1\/30*i**5. What is the third derivative of v(c) wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.5362 weeks to nanoseconds.\nAnswer: 21492293760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -12, -5*g + 8 = -5*m + 58. Let l(o) = -2*o + 9. Let w be l(m). Let a = -841\/3 - -278. Is w bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t**3 - 3*t**3 + 576*t + 2689 - 6480 + 2735 - 90*t**2.\nAnswer: 3*(t - 22)*(t - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a + 27. Give k(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -105. Let q = 109 + f. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7649 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, o: 15}. What is prob of picking 2 k?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*n - 5*c, -28 = 3*n - 5*n - 5*c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 2. Let k(o) = -3*o**2 - 423*o - 14706. Let z(p) = 3*f(p) + k(p). Factor z(t).\nAnswer: -3*(t + 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21136353 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -236, -497, -794, -1133, -1520, -1961, -2462, -3029?\n\"Answer: -k**3 - 12*k**2 - 218*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 860 + -1038.5. What is i rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 0 - 3, -4*d + 2*b = -26. Solve 4*l + 12 = -4*s, l + s = 4*l + d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 6:15 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 2 - (8 - (-5 + 6 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -51625 (base 10) in base 16?\nAnswer: -c9a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 15 = 35. Suppose -81 = -t*i + 219. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -19*b**2 - 3*b. What is f(2)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 5:06 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5742883?\nAnswer: 19, 47, 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 - ((-4)\/(-5) - 6). Factor 2\/5*m - t*m**2 - 1\/5.\nAnswer: -(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 + -698\/7. Which is the biggest value? (a) t (b) -1\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2. Calculate the remainder when 5 is divided by 6 + (s\/(-3) - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*x = -10, f = -3*x - 2 + 7. Suppose -5*i - j + 10 = 31, -f*j = 3*i - 5. Let m(y) = -y**3 - 4*y**2 - 4. Is 11 a factor of m(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/80)\/(1 - (-15)\/(-6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 28 + 18)*(-1 + 2*b**3 + 3*b**3 + b - 6*b**3) - 5*b**3 + 5*b**3 + b**3.\nAnswer: 60*b**3 - 59*b + 59","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 equal to 2950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c8 (base 16) in base 10?\nAnswer: -456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i**2. Let m(z) = 974 - 45 + 2517*z - 315*z - 929. Determine r(m(w)).\nAnswer: 38790432*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1\/7, -0.147, 3, -1, -8?\nAnswer: -0.147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -86.\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v + 2. Let n(h) = 6987*h - 1644. Let s(z) = -822*b(z) - n(z). Let o(r) = 2*r**2. What is s(o(q))?\nAnswer: -822*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 483, 5, -5, -2 in decreasing order.\nAnswer: 483, 5, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160 + 2*v + v - 109*v**2 - 4*v + 160 to the form o + y*v + f*v**2 and give f.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.131 + 0.347. Let u = -381 + 380.916. Let m = u - z. Round m to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 - 6*x**2 + 4*x - 8. Let m(w) = -w**3 - 31*w**2 + 31*w - 28. Let t be m(-32). Determine n(t).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 191*n**2 + 24*n - 1. What is z(1)?\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6750374630 and -2.9.\nAnswer: 6750374627.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6\/((c**(-5\/3)*c)\/c))\/(c**(1\/4))**(-2\/3) assuming c is positive.\nAnswer: c**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 10:02 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 11:13 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/5)*o**23 assuming o is positive.\nAnswer: o**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 12*o**2 + 19*o + 41. Let b be y(-6). Let d = b + -358. What is the closest to d in -1\/2, -21, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*j - 34*j - 257*j + 2*j**2.\nAnswer: 2*j**2 - 268*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12\/910619 - -64461808175\/16391142. Suppose -4451 = 7*i + 23129. Let s = l + i. Find the common denominator of s and -103\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 113.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 640 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4056145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 4*u + 28, -4*l + 37 = -u + 21 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5996166*i**2 + 392*i - 4734 wrt i?\nAnswer: -11992332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -717? (a) -2 (b) 175.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3646856 is divided by 58?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189401 is divided by 166?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -150, -2, -2006 in ascending order.\nAnswer: -2006, -150, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17 times 7.53\nAnswer: 128.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -1\/2 (c) -6 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -59, -72, -97, -140, -207?\n\"Answer: -v**3 - 6*v - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/5 (b) 0.4 (c) -1\/7 (d) -2\/13 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4898*o + 8830*o - o**3 - 3749*o.\nAnswer: -o**3 + 183*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 7*b + 465 + 2*b + 296*b**2 - 298*b**2 - 465.\nAnswer: -2*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/8*-4 - 1. Find the second derivative of -3*n - 5*n + d*n - n**4 + 2*n wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*d - 74632, -49*d - 373280 = -5*g - 44*d. What are the prime factors of g?\nAnswer: 2, 5, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 2. What is the lowest common multiple of p(3) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3474, -3453, -3410, -3339, -3234?\n\"Answer: x**3 + 5*x**2 - x - 3479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 504?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, -1719, 1\/5 in decreasing order.\nAnswer: 6, 1\/5, -1, -1719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/9 + (-18)\/(4752\/(-143)).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkmma. What is prob of picking 1 a and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -1.7 (c) -0.13 (d) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.203248484 to four dps.\nAnswer: -0.2032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 23. What is the remainder when 27 is divided by o(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-1)\/(378\/108).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 306525 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66631?\nAnswer: 23, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**3\/2 - 11505*s**2 + 58194330*s - 53468351260 = 0.\nAnswer: -7894, 1646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25293180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/6)\/(3\/171). Let i = 39 + m. What is the remainder when 57 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 7:08 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1 = 5. Let m(r) = -17*r - 1. Let q be m(a). Suppose 5*b - 10 - q = 0. Calculate the remainder when b is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 2476340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -10. Suppose 3*r - 1 - a = 0. Suppose 3*h - 37 = r*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 - 79. Let o = -210 + 214. Calculate the highest common divisor of z and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18 + (-3 - (-2 - 2)). Suppose 3*m + 3*u = 7*m - 29, -5*m = 2*u - q. Solve m*n - 3*v - 2*v = 0, -5*n - 10 = 5*v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/9)\/(1\/1908*4). Suppose -29*v + d = -26*v. Calculate the remainder when v is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -2, -46, -28 in ascending order.\nAnswer: -46, -28, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1297, 1578, 1957, 2434?\nAnswer: 3009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -16, -26, -34, -40?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10020 - 0?\nAnswer: -10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 55211 + 55221 = k + k, -4*k = -w - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6.46 * 0.02\nAnswer: -0.1292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -256*f*q - 8924*f*t + 160580*q*t - 34*q + t with respect to f.\nAnswer: -256*q - 8924*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:41 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -32. Let g = 19 + o. Let t(y) = -12*y**3 - 3*y**2 - 4*y - 5. List the prime factors of t(g).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16276?\nAnswer: 2, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-559) + (-77653)\/2881?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 6. Let h be t(3). Suppose 3*y + 7*s - 5*s = 15109, 0 = h*y - 3*s - 15129. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 14 + 34. Suppose 0*d + 3*d = l. Calculate the lowest common multiple of d and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/1479, 0.2, -38\/21?\nAnswer: -38\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74182053*h**2*m**3 + 676*h**2*m**2 + 5*h*m**2 + 38*h*m - 4*h wrt m?\nAnswer: -445092318*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*(-2*sqrt(11))**2 + (0 + sqrt(11))*5*6.\nAnswer: 30*sqrt(11) + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -188*j**3 + 96*j**3 + 53*j**2 + 90*j**3 + 77*j**2 = 0.\nAnswer: 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -288702.087 to the nearest 1000.\nAnswer: -289000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5.552 + -3\nAnswer: -8.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/4 - 1313*r\/4 - 3295\/2 = 0. What is r?\nAnswer: -5, 1318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192823799 to the nearest integer?\nAnswer: 13886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21980 = -60*u + 25*u. Suppose -628 = -4*t - u. Let r(l) = 5*l - 1. Let x be r(1). Solve t = -2*s - 0 - x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*d - h - 1, -d - 3 = 5*h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 136 + 64. Suppose -b = -5*b - a. Is -1*(2 - b\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222021011220210121 - 2?\nAnswer: -1222021011220210200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 7, -5, -15, -13669.\nAnswer: -13669, -15, -9, -5, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b6 - 8b?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v + v - 9 - v. Let n be (-128)\/(-22) - 2\/(-11). Is q(n) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -328*m**4 - 2665*m**3 - 3*m + 3798647.\nAnswer: -1312*m**3 - 7995*m**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 222713634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(-46))\/(9\/(-2) + (-3 - -4)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 20 = 92. What is the remainder when t is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 - o**3 + 0*o**2 + (-5*o**2 + 2*o**2 + o**2)*(4*o + 2*o - 5*o) - 3*o**3 + 0*o**3 + 2*o**3 - 2*o**2 + 2*o**2 + 5*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -540941280 divided by 165.\nAnswer: -3278432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/(-1))\/(-9))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 319403 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 5. Let d be q(6). Let p(k) = 12*k**2 + k - 24*k**2 + 16*k + 18 + 11*k**2. Let j be p(18). Sort d, 5, j.\nAnswer: d, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 185 + 110 = 145 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 6312?\nAnswer: 1\/3156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**5\/12 - 265*v**4\/24 + 130*v**3\/3 + 5*v**2 - 74. Solve f(a) = 0 for a.\nAnswer: 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20577470*i - 171686165?\nAnswer: 20577470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-10) - 2\/10. Let y be (-20)\/(-8) - ((-6)\/4 - -2). Solve -y*b = -b - n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, 0.02, -0.133, 1\/2, 1\/4 in decreasing order.\nAnswer: 1\/2, 1\/4, 0.24, 0.02, -0.133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3727, -7381, -11045, -14725, -18427?\nAnswer: -22157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14067850 to the power of 1\/2, to the nearest integer?\nAnswer: 3751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*i + 342*i + 253 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 33. Suppose 0 = 4*r - u + 1. Let d(l) = -l**2 - 14*l - 40. Let q be d(-4). Put 4, r, q in descending order.\nAnswer: 4, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - u. Let z(y) = 14*y**2 - 9*y. Let d(n) = -3*c(n) - z(n). Find the second derivative of d(j) wrt j.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62806.3758871 + 62780.2759. Let j = -25.58 + -0.52. Let m = a - j. Round m to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9)\/v**6)**5*(v\/v**(2\/9))**(-44)*(v**(1\/3))**(19\/4) assuming v is positive.\nAnswer: v**(-255\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 4*v + c, -20*c + 5 = v - 24*c. Suppose 6*i - 80973 = -v*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 11 = 4*s, -13*s + 17*s + 2*k - 26 = 0. Let l = 1 + -1. Suppose -s*p - 119 + 2154 = l. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0493833l in millilitres?\nAnswer: 49.3833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (136\/6)\/17*9\/78?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*c**3*u**3 - c**3 - 73*u**6 - 591*u**2 wrt u?\nAnswer: -60*c**3 - 8760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 5) to base 13\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 9:32 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 2*z + 4*z)*(30 + 7*z - 30).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.2 + -6. Let s = 22 + -65\/3. Let z = 0 + 0. Which is the nearest to z? (a) s (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, q: 2, s: 1, w: 1, e: 1, h: 7}. Give prob of picking 1 s, 1 h, and 1 c.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82853 and 1754198?\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-150)\/25 + (-18)\/(-2). Sort 1, n, -4 in decreasing order.\nAnswer: n, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*h = -42, -3*h - 15 + 57 = 3*x. What is the remainder when x is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 25*c - 5 - 8*c - 2*c - 9*c - 2*c**2 - 12*c. Let n(a) = -a**2 - 3*a - 3. Calculate -7*n(t) + 4*s(t).\nAnswer: -t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 6*u**2 - 5*u - 9. Let a be b(4). What is the third derivative of 157*j**3 + 3*j**2 - j**2 + 2*j**4 + 25*j - 143*j**a wrt j?\nAnswer: 48*j + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-38) + (-343836)\/(-608). Let t = x - 1119\/2. Factor 1\/8*b**2 + 7\/4*b + t.\nAnswer: (b + 7)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3049*r**4 - 6*r**3 + 18*r**2 - 6*r + 45. Let s(l) = 3040*l**4 + 5*l**3 - 15*l**2 + 5*l - 46. Let o(m) = -5*p(m) - 6*s(m). Differentiate o(q) wrt q.\nAnswer: -11980*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 37*l - 11. Let y(r) = 61*r - 20. Let q(i) = -5*v(i) + 3*y(i). Let t(z) = 408*z. Calculate t(q(s)).\nAnswer: -816*s - 2040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 41 = 56*f - 50*f, 47*f - 280 = -2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52076 times 6706?\nAnswer: -3492.21656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 2. Let d be r(-1). Suppose 25 = 3*g - 5*b, -b - 3 = g + d*b. Suppose 45 = 2*n + 3*v - 89, -g*v = 3*n - 200. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.94 + 0.06. Let o = -17558 - -17563. Sort -26, 0.1, i, o.\nAnswer: -26, 0.1, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*b = -103, p - 40 = -4*b - 1. Suppose 5*z = p - 15. Solve 2*y = y - z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (843\/6)\/(3 - (-2402)\/(-800)). Round v to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + h + 179 = -2*d, -5*d - 3*h = -431. Let b(y) = 2*y - 3. Let s be b(4). Suppose -s*f + d = -7. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + y. Calculate the smallest common multiple of 18 and g(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1485 + 469. What are the prime factors of c?\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24102 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01959 + 2.02341. Let z = v - 0.043. Which is the biggest value? (a) z (b) 4\/9 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 14. Suppose z + 4*t = -1, 3*z + u*t - 6*t = 12. Suppose 2*m = z*m. Is -2\/11 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 330092?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112138 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 8. Suppose -3*w + 2*w + x + a = 0, -4*x - 16 = w. Solve w = -t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/2 and -43\/152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11577?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*l - 130*l = -84. Solve 9*r + l = 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(384))**2 + ((sqrt(20) - sqrt(5)) + 4)**2.\nAnswer: 8*sqrt(5) + 1349\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 + i + (4*i - 10*i + 33*i)*(1 + 2 + 1) + (4 - 4 - 2*i)*(2 - 2 + 3) to the form y + l*i and give l.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*(-11)\/((-198)\/12). Let k(g) = g + 3. Determine k(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1245 and 2823825?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101010111111111 + 1?\nAnswer: 11101011000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12550229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5 = 4*f, 0*a - 2*f = a - 5. Suppose 0 = z - 0*z - a. Suppose z*m - 5*o + 2*o = -6, 4*m - 5*o = -12. Solve m*p + p = -9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11009346 divided by 2\nAnswer: 5504673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 0 + 1\/8*s**4 - s**3 + 0*s - s**2. Let w be h(4). Solve -10 = b - 4*c, w*b - 2 = 2*b - 5*c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 23. What is the tens digit of (u\/2)\/((-3)\/142)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140 + -59. Let a = 728\/9 - r. What is the nearest to -1 in 0.5, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - 1) + 55 - (-3 + -9).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14452 + -12378. What is the remainder when i is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (-4)\/12*-543. Let h = x - -109. List the prime factors of (h - -2)\/(5\/(-10)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 4) to base 15\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 7*k**2 + 10*k - 4. Let g = -18 + 21. Let a be 0 + 3 + 6\/g. Let j be f(a). Sort 0.4, j, -5.\nAnswer: -5, j, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 132 in 1\/6, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-8) - 22\/4. Which is smaller: 3\/4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(336\/111 + -3). Let u = 76 - a. Suppose 6*g + u = 2*g + 2*t, 3*g - 4*t + 14 = 0. Solve 0 = -k + 1 + g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(1 - 1 - n)*(-3*n**4 - n**4 + 0*n**4).\nAnswer: 8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13450137 and 11912?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(68) + (sqrt(68) - (sqrt(68) - (-5 + sqrt(68)*3))) + 3 + (sqrt(17)*-2 - sqrt(17)) + 1 + (sqrt(170)\/sqrt(5))\/sqrt(2))**2.\nAnswer: -72*sqrt(17) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -4*d - 32, 266*d - 261*d = -2*y - 19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 886616359 to the power of 1\/2, to the nearest integer?\nAnswer: 29776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 10) to base 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177059 to the power of 1\/2, to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 9*r - 14*r - 8, 5*r = -5*u + 40. Suppose 0*f = 2*f + 2. Let j be f\/3 + (-2)\/u*-26. Round j to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 32*j**2 - 66*j - 37. Is n(34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(330\/(-40) + (7 - -1))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 4*c - 2. Let y be q(-3). Let k be (1 - 8\/(-4))\/y. Suppose 0 = -4*f - 3*r + 52, 4*r + 60 = k*f + r. Is f at least 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1161*u**2 + 12339*u**2 + 305 - 305.\nAnswer: 11178*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*v = 3, 5*l + v = l + 11. Solve p + q + 4*q = 16, 10 = -l*p + 4*q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*j - 535 + 272 + 264)*((2*j - 1 + 1)*(-4*j**2 + 2*j**2 + 3*j**2) - j**3 + 0*j + 0*j)*(3 - 5 + 3).\nAnswer: 11*j**4 + j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -1 + 8 + 5 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 605*j**3 - 159*j**2*z + j*z - 10109*z + 3 wrt j?\nAnswer: 3630*j - 318*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0105772026 rounded to 5 dps?\nAnswer: -0.01058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**6\/540 - r**5\/180 + r**3 + r. Let x(a) be the second derivative of s(a). Factor x(o).\nAnswer: -2*o*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37, 45, 49, 49?\n\"Answer: -2*k**2 + 14*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 5*h + 2. Suppose -45*g = -33*g - 72. What is the smallest common multiple of f(-5) and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441794?\nAnswer: 2, 220897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572313838?\nAnswer: 2, 7817, 36607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1286444 + -0.8.\nAnswer: -0.9286444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -66275939 less than 493.526?\nAnswer: 66276432.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgdr when four letters picked without replacement from {w: 1, d: 1, r: 1, h: 1, g: 1, z: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.38, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w*w**(-4\/9))**(-2)*((w*(w\/(w*w*w*w**0)*w)\/w*w)\/w)\/(w*w**(2\/5)*w*w)*w**6*(w\/(w\/w**4))\/w assuming w is positive.\nAnswer: w**(517\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*(-1 + 2 + 1)*(-2582*u**3 + 2582*u**3 + 715*u**4) to the form g*u**3 + a*u**2 + f*u**4 + v*u + o and give f.\nAnswer: 1430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3445 + 2?\nAnswer: 3447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1921390 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 2 + 16 + o + 8.\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 + 15*w**2 - 101*w + 714. Give v(7).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41339 - 77821210.\nAnswer: -77862549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**7\/189 - 13*t**6\/135 + t**5\/30 + 41*t**4\/54 + 26*t**3\/27 + 3362*t. Solve z(s) = 0.\nAnswer: -13, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679098799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i + 7. Let b be y(-8). Let o = 1 + b. Let u = 12 - 19. Is u > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 2. Let v be (15\/2)\/(-3)*o. Let j = 45 + -40. Solve -j*h = 10 + v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**3 - 5*r**2 + 2*r - 5. Let y be a(-4). Suppose -i + y = -4*i. What is the tens digit of (-2 - -3)*i\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376846.7 centuries in decades?\nAnswer: 3768467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -2. Let l = 8 - 6. Which is the third biggest value? (a) r (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/(t\/((t**6\/t*t)\/t)))\/((t\/t**(-1\/7)*t)\/t*t*t*t*t\/(t\/t**3)*t)*(t*t**0)**(17\/5)*((t\/(t*t**(-1)))\/t*t)**19 assuming t is positive.\nAnswer: t**(709\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4028, 8027, 12026, 16025?\nAnswer: 20024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171952 to the power of 1\/2, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**3\/2 + 251*l**2\/2 + 235*l - 52 = 0.\nAnswer: -2, 1\/5, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -173*a - 193. Let g be w(34). Is g bigger than -6075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*m - 3*w + 11 = -40*m, 0 = 5*m + 2*w - 22 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8550660, 17101364, 25652106, 34202880, 42753680, 51304500, 59855334, 68406176?\n\"Answer: -r**3 + 25*r**2 + 8550636*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 123*p**4 + 118*p**4 - 201*p**4 + (-3*p**4 + p**4 + p**4)*(-5 + 0 - 5).\nAnswer: 50*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 17 = 5*d, -2*d = -3*h + 20 - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 11:38 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*x + 58*x = z + 12, -3*x + 14 = -4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from -4686.7934.\nAnswer: -4686.8234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 108*m - 414. What is y(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 31292350*-4\nAnswer: -125169400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 23*s - 16*s in the form b + x*s and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 4*z - 1. Suppose 2*q - 2 = 2. Let k(d) = -1 - 3*d + 6*d - 2. Let g be k(q). Calculate j(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 341132848*q + 7273226249036944.\nAnswer: 4*(q - 42641606)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/3 + -5)*-3. Let x(g) be the first derivative of 0*g**3 + g**2 + 0*g**5 - 5\/3*g**6 + 0*g - a + 0*g**4. Find the second derivative of x(v) wrt v.\nAnswer: -200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*r - 41*r + 4*p + 1872, 2*r = 5*p + 3735. What are the prime factors of r?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4575.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 551576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 13. Suppose 2*q - 4*q + 378 = 0. Let k = -125 + q. What is the remainder when k is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*q + 19, -3*v + 11 = -3*q + q. Let c = q - -12. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42942*a**5 - 146490*a**2 wrt a.\nAnswer: 2576520*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 407787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - r + 68. Let g be k(0). What is the highest common divisor of g and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 55*v + 1. Let d be y(2). Suppose -17*u + 12*u = -5*j - 130, 0 = -u + 3*j + 60. What is the greatest common factor of u and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.7614l in millilitres?\nAnswer: 166761.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 23 = 7. Suppose -5*m - i*s = -232 - 69, -2*m = -2*s - 106. Suppose m = 4*z - 5*x, -3*x + 8 = -5*z + 63. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)\/(w\/(w*w**(-2\/9))*w))**(-48)\/(w**(4\/3)*w\/w**(-3)*w*w**2\/(w**(-6)*w)) assuming w is positive.\nAnswer: w**(1144\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.042 plus -1220877.883828?\nAnswer: -1220877.925828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 3*i**4\/8 - i**3\/3 - i**2 + 104*i. Let d(q) = q - 1. Let w(l) = l + 1. Let u be w(0). Determine u*n(p) - 4*d(p).\nAnswer: 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (4 + -1 - 1). Suppose -2*f - 4 = -2*o - 2*o, -8 = -b*f - o. Let c = 2 - 1. What is the highest common factor of c and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 32.2. What is the nearest to 1\/3 in 3, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 15*a**4 + 3905*a**3 + 9030*a**2 - 20*a - 5160 = 0.\nAnswer: -258, -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, x: 1, d: 2}. What is prob of sequence xdd?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 193692246743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 435825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -13 + (15 - 13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156483 - 60940. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7990 and 850.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70036742337 + -3.\nAnswer: 70036742334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 10:13 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 45 (b) -2\/7 (c) 40 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2 + 2*c**2 - 8*c - 4*c**3 - 236 - 7*c + 13*c wrt c?\nAnswer: -24*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 - s. Suppose 0 = -9*f + 143 + 118. Suppose 27*t + f = -52. Give p(t).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*l - 99637550 - 537280450 = 0. What is l rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**4\/22 + 4*d**3\/11 + d**2\/11 - 12*d\/11 - 153. What is t in a(t) = 0?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 53731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 9. Suppose -w*r + 6 + 3 = 0. Suppose r*q = 4*q - 36. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -187*b + 93*b + 470. Suppose -2*f + 4 = 4*q - 22, 3*f - q - 74 = 0. Suppose f*n = b*n + 1548. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 642 and 66149968?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f**3 - 10*f**2 - 9*f + 9. Let q(l) = l**3 - l**2. Let c(s) = -6*q(s) + z(s). Let m be c(5). Let k be 2 + 1\/(-1)*m. Which is greater: k or 12?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03346926 to three decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2165*q**3 - 1887870*q**2 - 376077760*q + 1737120 = 0 for q.\nAnswer: -564, -308, 2\/433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*p - 6*p. Let i be 2 + 0 - p\/(-4). Let l(o) = 6*o - 3. Let j be l(3). Solve 4*m = c - 17, -i*m - c = m + j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v**2 + 4*v. What is the lowest common multiple of 11 and i(-3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63640.8 centuries to years.\nAnswer: 6364080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 106 in 22, -3, 4\/9, -1\/5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6)\/s**2*s*s\/s**(-1)*s\/(s\/(s*s*s*s**(2\/15)))*((s*s**5*s)\/s**6)**24 assuming s is positive.\nAnswer: s**(332\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/47? (a) -0.4 (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 124875 divided by -1665\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1339 + 260 = -5*w, -4*p + 5*w + 2233 = 0. Suppose -5*x + 2*i = -363, -5*x + 981*i = 980*i - 354. Calculate the highest common divisor of x and p.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + 45 + -51.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 963718 to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*a - 68 = 88*a. Solve -4*g - 1 + a = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 559 and 293995.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/136 and 187\/240.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1042820, 2085125, 3127444, 4169783, 5212148?\nAnswer: 6254545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 + 3*r**2 - 4*r**2 - 8*r**2 - 2 - 2*r + 7*r. Let y be x(4). Suppose -y*p + 6 = -p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -59, 4, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 654 - 651. Suppose -p*c + 5 = -2*c, 2*c = -4*k + 98. Solve 4*v = 20, 3*z + 3*v = v + k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 22999700.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6420098324?\nAnswer: 2, 41, 4447, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-4) + 2415\/(-420)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*r**3\/3 - 509*r**2\/3 - 512*r\/3 - 4\/3 = 0. What is r?\nAnswer: -2, -1\/127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 4*d. Let p(v) = v**2 - 3*v. Let h(i) = -4*k(i) + 3*p(i). What is the second derivative of h(m) wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3301341 - 3?\nAnswer: 3301333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-45 - -47) + 27\/((30\/(-8))\/(-5))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjnfjrifnjji. Give prob of picking 1 j, 1 i, and 1 n.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*f - 4, -69*k + 2*f = -65*k + 4. Solve r - 4*z = -15, k = -6*r + r - 2*z - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397535 is divided by 132504.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 - 2*t**4 + t**4)*(2 - 4 + 4) + (2 - 7 - 5)*(2*t**4 + 1 - 1) + t**4 + 2*t**2 - 2*t**2.\nAnswer: -23*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(160) - (sqrt(160) - (1*sqrt(160) - sqrt(160))*1))*-1)\/(3*(1*sqrt(88))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 2:20 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 241291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258885 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13938823949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14973029?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*i - 88, -3*i + 144 = 854*m - 848*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009495 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 times 0.01?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**4\/6 - z**3 + 2*z**2 - 6*z. Let k be c(8). Let f be 1 + (k\/(-15))\/4. Sort f, 4, -0.3 in decreasing order.\nAnswer: 4, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11754 and 162.\nAnswer: 105786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2465.6733 months?\nAnswer: 2.05472775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 1\/2*c**3 + 0 - c**2 + 0*c - 1\/8*c**4. Find the first derivative of s(p) wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 12 = 3*q, 2*q + 9 = -2*r + 5*r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51504 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 4*p**2 + 8*p + 6. Let i be s(-6). Suppose 5*h - i = -3*w + 4*h, 40 = 4*w + 3*h. Suppose -3 = b - w. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 9:18 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141449 and 413325.\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2705578 is divided by 830.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -215 + -44510534?\nAnswer: -44510751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 289\nAnswer: -1445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 divided by -4.\nAnswer: 71\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 8 = g - 8*i, 4*i = 2*g - 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 19, 29, 53, 97, 167, 269?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {p: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3698 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 63*r**2 - 3021*r - 28906. What is i(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**12)\/z)\/z)\/(z*z*z**12)*(z**(-2\/13))**(16\/3) assuming z is positive.\nAnswer: z**(-1085\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 5) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43\/2 of a meter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3969*x + 7259*x - 3291*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-31620)\/(-1700) + (-74)\/(-10)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120 + -212210111102?\nAnswer: -212210102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1\/4, 2\/5, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33562335.\nAnswer: 3, 5, 17, 131617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 21*w - 570. Give d(-16).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3 = -4*j, 5*d + 52*j + 27 = 42*j + 9*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3986869 times 4\nAnswer: 15947476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 112. Let x = s + 63.9. Is x bigger than 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2. Let g be ((-22)\/(-10) - 4)\/(2\/(-10)). Let i(m) = 8*m + 1 - g*m - 21*m. Determine i(s(w)).\nAnswer: -44*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/13 + (-300)\/(-78) + -12. Is -2 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 2\/41, 1\/4, 5, 281, -3, 0.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -12*x**2 + 556*x + 1. Calculate o(2).\nAnswer: 1065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1017126827?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160724227 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3 = -5, w = 3*g - 8. Let j(p) = 7 - 7 - 5*p**2 + 2*p**3 + 5*p. Let d(u) = -u**3 + 2*u**2 - 2*u. What is g*j(x) + 10*d(x)?\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 8:29 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -38 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*h + 42*h = 5*o, -5*o + 5*h - 2 + 42 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1400433 by -466811.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/15*2)\/((-2)\/235). Let o = -94 - j. Factor o*h**3 + 2\/7*h**2 + 0*h - 2\/7*h**4 + 0.\nAnswer: -2*h**2*(h - 1)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -3. Suppose -9*i = -115 + 115. Suppose 3*q + 5 = r, -3*r + x*q + 29 - 4 = i. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (35 + 1)\/((-3)\/(-4)). Let t be (1\/2)\/((-3)\/(-36)). What is the highest common divisor of x and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -10. Suppose o = -f*o + 70. Calculate the remainder when 10*(-2 - (-3 + (-9)\/3)) is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 16. Is x(-6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 27 + 4 = -2*s, 3*s = -3*t - 33. Let c = -3 - t. Suppose c + 10 = 2*z. Solve 0 = z*l - 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.5 - -16.50000161. Round f to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 8*p - 4. Let x be n(6). Let w = -5 + x. Suppose -202*h - 80 = -206*h. Solve o = 5*a + 4 - h, -3*a - w*o = -24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x**2. Let f(m) = -273579*m**2. Determine f(g(w)).\nAnswer: -9848844*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -5256.715194 to the nearest integer.\nAnswer: -5257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42417555401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 53*w + 1528. Give j(-29).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3104402 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -143.5773 + 248.5602. Let p = 105 - f. Round p to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 50905, -0.5, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/320 and 181\/4418880.\nAnswer: 4418880","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 24624537 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 5*u + 30, u = 5*u + 8. Let x be g - -4 - (-6 + 0\/1). Let n(r) = 2*r**2 - 2*r + 2. Determine n(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62602 is divided by 31298?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 + (-164 - -33 - -107)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 25*o - 135. Let u be p(6). Solve -x - 3 = 4*f - 6*x, -5*x + u = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6386.652091 - -2.91?\nAnswer: -6383.742091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -8. Suppose -1 = z - 2*f - 5, -4*f = -12. Suppose 3*q = -q + 5*c + 20, 3*q - z = 5*c. What is the lowest common multiple of q and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3433 + 4255. Is o a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 20 = -2*i, 5*i - 22 = 7*c - 3*c. Let z = i + -8. Let a = -155\/116 - -1\/348. What is the smallest value in a, -1, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 9:01 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.16383um?\nAnswer: 0.00416383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 904, -7, -193, 0.\nAnswer: -193, -7, 0, 904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 5*k**2 - 11*k - 20. What is the tens digit of o(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q - 9*q + 23*q - 7*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**4\/4 + h**3\/3 - h**2 - h. Let x be i(4). Let r be 122\/x - (0 + -3). Is r > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - z**2 + 55*z + 22. Give n(-10).\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 79, 81, 81, 79?\n\"Answer: -n**2 + 5*n + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3131 - -3130. Which is the smallest value? (a) 2\/9 (b) y (c) 98\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.7264 - 0.2736. Which is the fourth biggest value? (a) -5 (b) -0.4 (c) 178 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14613 is divided by 623?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014722 rounded to four decimal places?\nAnswer: -0.0147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -203051, -406060, -609069, -812078, -1015087, -1218096?\n\"Answer: -203009*i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 66614 and -0.4?\nAnswer: 66614.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2203.7874702 + -2200.6574. Let v = w - 3.13. What is v rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j + 3*j + 0*j + 2 - j**2. Let i be b(6). Let r be (-10)\/(-55) - (-4)\/(-22). Solve r = 2*h - 2*m - i, -2*h + 26 = 2*h - 3*m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 2. Let p be x(-5). Suppose 4*b + 55 = v, 0 = -6*v + p*v - b + 152. What is the highest common factor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (-455)\/(-20) - (-5085)\/(-1020)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7976 - 3816. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -671*b = 651*b - 1286*b - 2052 for b.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o + o + 19*o - 10*o - 109*o**2 to the form t + h*o**2 + m*o and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**6 - 70*i**5 + 49*i**2 + 25*i wrt i?\nAnswer: 240*i**3 - 4200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 901882.9 micrometers?\nAnswer: 901882900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1110 and 7560580?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 1 - 1)*(97*k - 42*k - 11*k + 19) to y*k**2 + f + b*k and give y.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.0918 - 0.0112. Let a = q - -5.458. Let h = 0.045 + a. What is h rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -17*w - 61. Let c be l(-3). Let t(y) = -y**3 - 11*y**2 - 13*y - 8. Give t(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + j**2 + 2*j**2)*(j - 4*j + 2*j + 0*j - 2*j + 3*j + (1 - 2 + 0)*(0*j + 0*j + j) + 3*j + j - 2*j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -539.1 and 0.762.\nAnswer: -538.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1154, 794, 440, 98, -226?\n\"Answer: b**3 - 3*b**2 - 358*b + 1514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 11*w**2 - 14*w - 17. Let y be z(11). Let a = 173 + y. Solve -4*d + a = -10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0.5, -3, -56 in decreasing order.\nAnswer: 14, 0.5, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25 - 0)\/(0 - 1). Suppose 0 = -0*r - 2*r. Suppose r = -5*t + z + 60. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4484\/3 + -1494. Put j, 4, 0.11, 2 in decreasing order.\nAnswer: 4, 2, j, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71993*x + 71995*x = 90 for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 1. Let i(p) = p**2 + 14*p + 5. Let j be i(-13). Which is bigger: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -17*x - 270. Let h be d(-16). Solve 0 = -2*l + h*g - 0*g + 12, 0 = -3*l - 5*g - 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -49*g - 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.54 and 14.22106154803.\nAnswer: 14.76106154803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 + v**2 + 2*v**2)*(-175 - 2*v**2 + 345 - 119*v - 165) in the form h*v**2 + m + p*v**3 + n*v**4 + r*v and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p - 200. Suppose 5*v - p = v. Calculate the remainder when (0 - -73) + 0 - (0 - 1) is divided by v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(2*o - 7*o + 3*o)*(1795*o**4 - 3563*o**4 + 1760*o**4 - 3*o**2 - 112).\nAnswer: -32*o**5 - 12*o**3 - 448*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 5*k - 8, 0*k - 4*k + 4 = -4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3638 + -0.2708. What is the second smallest value in i, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/14014031 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 3*b**2 + 3*b - 2. Let c be k(2). Solve -3*f + c*f - 20 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -1435?\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63\/2 at least 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3216400 - 10?\nAnswer: -3216410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.638299 to 2 dps.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxpq when four letters picked without replacement from qqqxqqxpqxpxpxxpx.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by (-528)\/(-36) - (-2)\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -117 + 108. Let t(m) be the second derivative of -n*m + 9\/2*m**2 + 1\/6*m**3 + 0. Determine t(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 751986017 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**5*g*g**15\/g assuming g is positive.\nAnswer: g**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9147 is divided by 62.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**5\/60 - o**4\/6 - o**3\/2 - 2*o. Let m(i) be the second derivative of j(i). What is the units digit of m(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3014 (b) -0.4 (c) -4 (d) -1\/3 (e) 8 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 121 - 64\/9*m**2 - 272\/9*m + 4\/27*m**3. Find v, given that b(v) = 0.\nAnswer: -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362 = -5*k + 3*i, -4*k + 6*i + 289 = 3*i. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 + 2*a**4 - a**4)*(189*a + 220*a - 385*a) - 2*a**3 + 2*a**3 - 3*a**5.\nAnswer: -27*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + 99 + -81 - 34.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -p + 61, -5*p = -2*v - 2*p + 127. Let z(t) = -t**3 + 29*t**2 + 13*t + 30. Let q be z(28). What is the highest common divisor of v and q?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klv when three letters picked without replacement from lvlvkkvvkkkkkgvgkk.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1392120 and -11\/58005?\nAnswer: 1392120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 5. Factor 24*x**3 - 4*x**o + 17*x**4 + 2*x + 0*x**5 + 4*x**5 + 17*x**2.\nAnswer: x*(x + 1)**2*(x + 2)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.1 (b) -2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4212 and 55.\nAnswer: 54.5788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 5*v**2 - 5*v**2. Let m(x) be the first derivative of 4\/3*x**3 + 0*x + 3 + 0*x**2. What is n(m(k))?\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/112 + -115\/336. Let k = -49\/39 + 12\/13. Is w < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -20\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 6. Suppose 0 = 2*j + 16 + 2. Let d be j\/18*(-1 - -13). Let s be o(d). Solve w + 0*w + 5 = s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 8*z + 1. Let y = 8 + 0. Let j be t(y). Let c(v) = 32*v - 1. Does 9 divide c(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 c when three letters picked without replacement from {g: 3, c: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -196\/5*s - 1\/15*s**3 - 14\/5*s**2 + 58. Factor u(l).\nAnswer: -(l + 14)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 58 + 312?\nAnswer: 36a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 112967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10}. Give prob of picking 4 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8323 - 265 + 188 = -70*z. Solve 95*m - 80*m = -z for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 6 = 5*c + 7*u, 722*u + 2 = 5*c + 1434*u - 710*u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-2 - 2)) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-100)\/330*6) + 0. Sort 0.18, 1\/6, n in descending order.\nAnswer: 0.18, 1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 225 - 224.71. Let k = 0.290728 - x. Round k to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-45)\/8)\/5)\/(156\/624)*(-10)\/(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (15\/9)\/((-28)\/84)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 14450.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(-12)\/(-270)*(-7 + 1). Which is the nearest to -1\/2? (a) x (b) 1\/3 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022011211 (base 3) to base 11.\nAnswer: 31068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**7\/42 - d**6\/15 - d**4\/6 + 22*d**2 - 3*d. What is the third derivative of u(a) wrt a?\nAnswer: 60*a**2 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**4\/4 + 8*m**3\/3 - m**2\/2 + m - 7. Is k(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**4 - 6691648*t**3 - 2798627868088*t**2 + 5597275811136*t - 2798641251396 = 0.\nAnswer: -836457, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 40*n**2 - 101*n - 22. Determine q(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10 = 0, -j + 313 = -0*j - n. Let y = -182 + j. What is the highest common divisor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*r - 132, -5*v = -r + 6*r - 120. Solve 2*o = -4*d + v, -2*o - 17 = -0*o - 5*d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17889337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 1031?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(-2*t + 9*t - t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -811*x - 4780 - 26267 = -2662 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((780\/216)\/65)\/(((-2)\/3)\/(-1))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (108\/756)\/(1\/2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbguu. Give prob of sequence ub.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - h**2 + h + 2. Let p be l(0). Suppose b - p - 2 = 0. Solve -r = 3 - b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 509, 503, 497, 491, 485?\n\"Answer: -6*b + 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 2:49 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 14*f - 23. Let t be m(-12). Are t and 2\/57 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(((sqrt(85) + 2*sqrt(85) - sqrt(85))*-4 + sqrt(85))*4)\/(sqrt(30)\/(sqrt(30)\/(sqrt(15)\/sqrt(3)))).\nAnswer: 560*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, c: 1, t: 1, a: 3, o: 6}. Give prob of sequence oco.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/228822 and 75\/48538?\nAnswer: 1601754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 + 2*g - 3. Let m(x) be the first derivative of -4*x**3\/3 - 3*x**2\/2 + 4*x - 4. What is 2*m(l) + 3*u(l)?\nAnswer: l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_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: Let o = 3.01 - -2.49. Let s = o + -3.5. Sort s, 37, 4, -0.5 in increasing order.\nAnswer: -0.5, s, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1530 - -1528. Sort -3, 56, p in descending order.\nAnswer: 56, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, u: 4, r: 3, i: 1, f: 1, y: 5}. Give prob of picking 1 i and 1 u.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-600)\/(-35500))\/(((-2)\/(-6))\/(5\/(-45)))?\nAnswer: -2\/355","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 56\/5. Let h = -5.359 + -0.041. Let t = 17.4 + h. Put p, t, -5, 3 in decreasing order.\nAnswer: t, 3, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/5*140\/(-56).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5873, -5876, -5871, -5852, -5813, -5748, -5651, -5516?\nAnswer: -5337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -254087, -508180, -762273, -1016366?\nAnswer: -1270459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**3\/15 - 11*t**2 + 216*t\/5 - 4001. Suppose y(c) = 0. What is c?\nAnswer: 2, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1112*p - 254380 = -3374*p + 1266*p for p.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 + 13*d - 7. Let u be (-8)\/20*(-6 - -26). What are the prime factors of t(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**6\/360 + 3*t**5\/40 - 3*t**4\/8 + 26*t**3 - 55. Let i(x) be the third derivative of d(x). Calculate i(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 188163*t**2 - 25*t - 13939134.\nAnswer: 376326*t - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 669*m - 678*m + 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 1273248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -42, 0, 30 in descending order.\nAnswer: 30, 3, 1, 0, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 3:44 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 17*l + 1. Let a(r) = 2*r**2 - 4*r + 1. Let u be a(3). Let p = u + -6. Let h be y(p). Solve 0 = -3*q + 2*w - 0*w + 3, -5*w + h = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, -4, 1\/5, 2, -2, 0.1 in descending order.\nAnswer: 120, 2, 1\/5, 0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*d + 4, -3*d - 1 + 4 = -4*v. Let p be (2\/30)\/((-4)\/(-20)). Let w = 5 + -3. Which is the nearest to w? (a) -1\/4 (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4202251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 197, 237, 53, -349, -963?\n\"Answer: b**3 - 118*b**2 + 387*b - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = -4*u + 15*h + 18, -20 = 4*u + 4*h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36889000 rounded to the nearest one million?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**4 + 0*h**4 - 3*h**2 - 3*h**4 - 9*h**4 wrt h.\nAnswer: -216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 47\/5 - 4\/10. Let x be m + 0 + -3 + -2. Solve -4*f = x + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3720*r - 11187. Calculate f(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 8026194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*r + 49 - 49 + (0 + 3 - 4)*(2*r + 3 - 3) - 3*r + 7*r - 2*r to q + b*r and give b.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8*z - 51 = -7*z, -3*f + 2*z + 25 = 0. Solve 3*n = -3*r - 9, -f = 4*r + n + 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 16 = 4. Let p(v) = 83*v - 16. Let n(y) = 73*y - 14. Let d(w) = 9*n(w) - 8*p(w). Give d(a).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1775*f*g**3 - 121*f*g + 1 wrt g.\nAnswer: 10650*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*k = 39, 7*x + 5*k = 5*x - 1. Let s = 1 + 8. Let m = x + s. Calculate the remainder when 2 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*f - 28*f - 23*f - 6*f - 1394 = 0 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 2*u - 3. Let a(p) = p**2 + 2*p - 3. Let n(o) = -5*a(o) + 6*k(o). Let f be n(-4). Put -0.3, 0.1, f in descending order.\nAnswer: f, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -0.04, 0, 2 in descending order.\nAnswer: 2, 0, -0.04, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/(3\/(-954)*-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.282964 + 125.229964. Let x = j - 125. Let p = 0.0529997 + x. Round p to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 21.266\nAnswer: 27.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-297)\/(-1155))\/(-4 + 540\/140)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 27 = -a. Calculate the remainder when a is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (109\/168)\/1 + 0 + (-10)\/15?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-3 + 5 + -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(700))**2 + 1.\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 12. Let n be l(-8). Let w be -1 + -3 - -32 - 4. Suppose 4*b - w = -2*b. Solve -3*d - b*x = -20, -n*x + 21 = 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -190777*u**3 - 15*u**2 + 252*u + 11727 wrt u?\nAnswer: -1144662*u - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 353496000 to the nearest 1000000.\nAnswer: 353000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 25*r - 14. Suppose 4*o = -5*j + 52, -4*j - 2*o = -23 - 15. Let y be 12\/j*8\/3. Is 37 a factor of g(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*q - 20, q = -4*y + 3 + 1. Suppose -c - y + 3 = 0. Solve -5*j + 16 = c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(4*(sqrt(70) + 3*sqrt(70)) + sqrt(70)))\/((sqrt(80) - ((sqrt(80) - sqrt(80)*-2)*6 - sqrt(80) - sqrt(80)))\/sqrt(8)).\nAnswer: -68*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -173768 - -173897. Let c = -4 - -7. What is the highest common divisor of y and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74119036 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162618589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*w + 500 = -2680 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:06 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11527 is divided by 459?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 740 and 177230?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 3408.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*k - 218*k + 552*k - 163*k + 14*k**3.\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25722108781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7192 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -691*q - 164480 = -204558 for q.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1741975035?\nAnswer: 3, 5, 23, 5049203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 w, and 1 e when three letters picked without replacement from {e: 2, p: 1, i: 7, w: 2}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463923?\nAnswer: 3, 19, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a century?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10134*v = 294574 + 60116 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((50\/(-35))\/5)\/(-2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b + 1. Let v be x(2). Calculate the common denominator of (-9 + 5 + 13)\/((-1)\/v) and -167\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**3 - 2*c**2 + c. Let v be q(1). Suppose -5*f - 50 = -v*i, f = 3*i - f - 34. Calculate the greatest common divisor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by -5.\nAnswer: -106\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*673401.\nAnswer: 336700.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 375 or 2620\/7?\nAnswer: 2620\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*t = o - 200, -5*o + 333 = 3*t. Let i = -13 + o. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.7 + -5791?\nAnswer: -5825.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 81 = -3*r - 91, 2*s = -r - 68. Let n = s - -37. Suppose 0*c + 841 = 2*w - c, w - 434 = n*c. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-482 - 416 + 222)*(-u - 5*u + 4*u).\nAnswer: 1352*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 - 104.64. Let w = t - -0.88. Let p = -13.94 + w. What is p rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -322?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 6*j**2 - 7*j + 5. Let t be a(7). Suppose 3*b - 360025 = t*h, -b - b + 2*h + 240010 = 0. Round b to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from mmmmmmkmk.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -69281, -139104, -208913, -278702, -348465, -418196, -487889, -557538?\n\"Answer: j**3 + j**2 - 69833*j + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2559, -2553, -2543, -2529, -2511, -2489, -2463?\nAnswer: -2433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -537, -611, -689, -771?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 112\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -8*v + 26*v - 2, 18 = -2*v - 4*y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -3*y**5\/35 + 15*y**4\/14 - 13*y**3\/7 - 90*y**2\/7 - 108*y\/7 - 10. Let t(u) = 0. Calculate u.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 + 2 + 25 + 31)*(-2614 + 2614 - 10*m).\nAnswer: -900*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9241 * -16.\nAnswer: -147856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57344 and 1856.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5110664 and -2.\nAnswer: 10221328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8573522?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.82 - -33.72. Let d = 31 - u. Let h = -1.83 - d. Which is the nearest to 1? (a) 3 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -9. Let g(j) = -20 + 13 + q - 3*j. What are the prime factors of g(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -14. What is the remainder when (-49 - b)\/(1 + -2) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 26629979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37444528 to the nearest integer?\nAnswer: 6119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u - 33. Let x(f) = 5*f - 32. What is 3*p(d) - 2*x(d)?\nAnswer: 2*d - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**2 - 8*h**2 - 2*h + 3*h**3 - 6*h**3 - 4 + 2*h**3 to m*h**3 + c*h + p*h**2 + g and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 156.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166022 is divided by 55271?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**5 - 4*c**2 - 4*c**5 - 3*c**2 + c**2 wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1\/4 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19177074?\nAnswer: 2, 3, 7, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*b**2 - 3*b + 10*b**2 + 11*b + 10*b**2 + 16*b**2 to the form d*b**2 + y*b + z and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z = -4*h + 27, 0 = 4*h - 12. Let c be -2*z\/((-12)\/74). Calculate the highest common factor of c and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 - 5*y - 3. Calculate q(6).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4554 = 1763*d + 1475*d - 2985*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -154 + 147. Let c(x) = x**2 + 4*x - 8. Calculate c(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*j + 9531 + 2079 = 531*j for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-8))\/(10\/(300\/135) - 3))\/57\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/970522 and -53\/32172.\nAnswer: 5823132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209693791.\nAnswer: 209693791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(720) + 2 - sqrt(5)) + -1.\nAnswer: 1 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 6, -232, 2, 4, 143, 0 in ascending order.\nAnswer: -232, -42, 0, 2, 4, 6, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 2*j**2 - j + 2. Let o be g(1). Solve 0 = -5*q + q - 2*x, o = -3*x + 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 4*h**2 + 30*h + 17. Let l = 15 - 7. Let z be n(l). Is 3\/89 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - t + 3. Let x be i(0). Suppose -2*g + 52 = x*f, -3*f + 44 = -0*f - 2*g. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.541 + -4.091. Let v = -7.55 - o. Which is the closest to -1? (a) -0.09 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 24027 and 24021 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*p + 1736, 4*k + 161*p - 163*p = 1378. Calculate the remainder when k is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**3 + j - 3*j**3 + j**3 - 11 + 10 + j**2. Let o(s) = 3*s**3 + 13*s**2 - s + 1. Let d(i) = c(i) + o(i). Find the third derivative of d(t) wrt t.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, 2\/17, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46458 and 108402?\nAnswer: 325206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422241 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffuwbhwbbffff. Give prob of picking 1 f, 1 w, and 2 b.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.640873l to millilitres.\nAnswer: 6640.873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*b - 112 = 0. Let g = 34 + b. Suppose -103 = -g*i + 77. Calculate the remainder when 59 is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290, 103, -208, -643?\nAnswer: -1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -139 - 0 - ((-1 + -13 - (-1359 - -1333)) + -15)?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 - 7*b - 300. Calculate the remainder when 88 is divided by d(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4526647?\nAnswer: 937, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 - 2*g**3 - 5*g**2)*(161*g + 45*g + 138*g)*(0 + 0 - 1) + (-2 + 2 + 2*g**2)*(3*g**2 - 2*g**2 - 3*g**2).\nAnswer: 684*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-4*sqrt(833))**2*1 - ((sqrt(187) + sqrt(187) + (sqrt(187)*4 - sqrt(187)) - sqrt(187))*6)\/sqrt(11)).\nAnswer: -13328 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 8:08 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = j - 5*k, 0 = 21*j - 16*j + 2*k - 58. What is the greatest common factor of 222 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3019*x + 6124*x + 1302 = 3063*x for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51435 - -424?\nAnswer: -51011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/30310 and -1\/193984.\nAnswer: 969920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -2. Suppose 3*j = 4*g - r, 5*j + 6 = g - 17. What are the prime factors of (-2)\/g - 87\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 145 + -145.18. Let i = r + 0.18. What is the fourth biggest value in -5, -1\/4, i, -2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941 is divided by 88?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225592, 902385, 2030386, 3609601, 5640036?\nAnswer: 8121697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(-6)\/(-880)*20.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -9*c + 174. Let w be f(19). Let n be w\/(((-2)\/16)\/((-22)\/(-132))). Put -3, -31, 8, n in descending order.\nAnswer: 8, -3, n, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w. Let i be a(3). Find the third derivative of 11 - 11 + 2*z**i - 10*z**2 wrt z.\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.6712 + 2.6712. Suppose 0 = 2*w + 4 - 2. Which is the closest to -0.03? (a) -3 (b) w (c) m (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 176938 - 73729. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37403 - 37407.4354. What is q rounded to one decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u**3 + 4*u**2 + 4*u - 6. Suppose 13*o = 19*o - 11*o - 20. Let x(q) = 10*q**3 - 8*q**2 - 9*q + 13. Determine o*x(p) - 9*d(p).\nAnswer: 5*p**3 - 4*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2937477984?\nAnswer: 2, 3, 7, 4371247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 234 = 16*b + 12*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 462 = 6*b. What is the remainder when b is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = -4*x - 18, -4*j + 4*x - 76 = 0. Let r be (-3)\/(-3)*4*3\/j. Which is the nearest to -2\/7? (a) r (b) 1\/2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + (sqrt(168)\/sqrt(3) - sqrt(56))*5 + (sqrt(56) + -3*sqrt(56))*4)\/(((sqrt(672) - sqrt(672)*-3)\/sqrt(12))\/(-3*sqrt(252))).\nAnswer: 63*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -44432?\nAnswer: -44435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -607120 or -606974?\nAnswer: -606974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 10 = 3*r. Let g(t) = t - 2. Let k be g(2). Suppose -5*u = -f + 18 + 22, k = r*f + u - 36. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357\/118 + (-9)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/10 and -39\/16850.\nAnswer: 16850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 - -3. Let m = 64.4 - 70. Let l = 5.6 + m. Which is the second smallest value? (a) t (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.9181 + 0.0899. Let k = -13 + 16. Let b = m - k. What is b rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 3*w**5\/20 - 244*w**2 + 4*w. Let f(a) = -18*a**2. What is f(v(j))?\nAnswer: -1458*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r + 0*r**3 + 0 + 0*r**2 - 1\/6*r**4. Determine g so that x(g) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 1. Let n be f(0). Let s(m) = -11*m**3 - 2*m**2 + 1. What is s(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 + 64 + (-11 - -1) + 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762329 a multiple of 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75219366.5440484 + 7736549.5439694. Let x = -67482700 - g. Let o = -117 + x. Round o to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from awxwaxaw.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2037882 by 7.\nAnswer: 291126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kekvlxlevepell. What is prob of sequence vkv?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 15) in base 6?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**7\/j)*j**(-3)*j*j*j)\/(j**(2\/11)*j**1) assuming j is positive.\nAnswer: j**(-68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4 + 4. Suppose 18 = -3*p + 2*c, -4*p + 0*c = 2*c + 10. Sort p, 0, i in decreasing order.\nAnswer: i, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 + 6 + r**2 - 6 - 7*r**3 to d*r**2 + p*r + l*r**4 + s*r**3 + h and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 6:29 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 15*l + 17. Let i be r(14). Suppose q - 4*q - 6 = -3*n, -5*q - 18 = i*n. What is the biggest value in n, 1, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 10*u - 6. What is the tens digit of d(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97330, 389345, 876036, 1557403?\nAnswer: 2433446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-315)\/700*10\/(-6)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 > -0.431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1988)\/364 + ((-60)\/(-6) - 5).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 12*b + 1\/2*b**2 + 6. Let v be k(-11). Solve 2*f - v - 5 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + l. Let v(a) = -a**3 + 6. Let r be v(0). Let w be k(r). Let h = w + -27. What is the remainder when 58 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24070 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9552981 - -363253?\nAnswer: -9189728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -q + 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5 - 2*r + 9 - 6. Let p be m(6). Let y be 3\/(-2)*p\/(-12). Which is the third smallest value? (a) y (b) -0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2) + sqrt(32) + sqrt(2) + 4 - sqrt(12)\/(2*sqrt(54)).\nAnswer: 4 + 35*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 6:02 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w - 26. What is q(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -46, 16, -4, -0.3, -2\/15.\nAnswer: -46, -5, -4, -0.3, -2\/15, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 502.3 - 473. Let c = -32.3 + f. Sort c, -2\/19, -3\/5, 0.\nAnswer: c, -3\/5, -2\/19, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4201 and 0.3.\nAnswer: -4200.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24085026 and 99780822.\nAnswer: 698465754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/17793437 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233247 by -203.\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -2717\/3 and -907 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 415956 at most as big as 416007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 1570 - 1600 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2262, -2257, -2240, -2193, -2098?\n\"Answer: 3*a**3 - 12*a**2 + 20*a - 2273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 754633 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19032615 a multiple of 1035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 2*k**3 + k**2)*(-k + 0*k - 1 + 0*k) - 97*k - 118*k**4 + 97*k + (-4*k**2 - k**2 + 3*k**2)*(7*k**2 - 3*k**2 - 2*k**2).\nAnswer: -124*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*v + 20, 4*h + 2 = -5*v + 27. Suppose -z = -10 + 8. Suppose h*w = -z*w + 4. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2 + 0 + 1 + 5*b + 2*b**2 + 8. Suppose 0 = -l + 6*l - 95. What is the remainder when l is divided by o(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -126*n + 3*n**2 + n**3 + 65*n + 2*n**2 + 66*n. Let z be f(-3). Sort z, -83, -3.\nAnswer: -83, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 2*c + 6, -c = 828*n - 830*n + 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -355 (b) -0.2 (c) 1 (d) 2 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38880.89 days in nanoseconds?\nAnswer: 3359308896000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/5 and 66\/5845.\nAnswer: 5845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.0042 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9785072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*h + 90. Let w be ((-2)\/(-6))\/((-12)\/h). Suppose -3*r = r + 8. Is w greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 808731 and 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -71. Suppose 5*n - 3*c - 35 = -0*c, 3*n + 3 = -h*c. Suppose 2*k = -2*k - d - 3439995, 5*k + n*d = -4299980. Round k to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 4:44 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/(-60)*(-73568)\/2420.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10.8? (a) -1\/2 (b) -1\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + ((sqrt(42)\/sqrt(2) - sqrt(21)) + sqrt(21) + sqrt(21))\/sqrt(3))*3)**2.\nAnswer: -36*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 2. Let j = -3 + 7. Let s be m(j). Which is smaller: s or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a**(-2\/43)*a))**48\/(a**(-10\/13)*a*a**(-1\/25)) assuming a is positive.\nAnswer: a**(28534\/13975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 2*x**2 - x - 2. What is the lowest common multiple of 2 and a(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2308 = 3*f + 4*m, -6*f - 4630 = -3*m + 4*m. Is -1 - f - (-66 - -62) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + sqrt(243) + 1 + sqrt(243) + (sqrt(243) + -1 + sqrt(243))*3)**2.\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = r + 19, 0*x = x - 2*r - 13. Find the second derivative of 0*c**5 - 2*c + 2*c**5 + 0*c**5 + 0*c**x wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25\/2*(4 - (-6 + 8)). Suppose -j*p + 27*p - 68 = 0. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 2*f + 26, -2*x + 2*f + 2*f = 4. Solve 5*g + x + 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x - 3. Give p(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -15 + (0 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 + 17217531164.\nAnswer: 17217531146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 - p**2 - 3*p**2 + (0*p**2 - p**2 + 2*p**2)*(-2 + 1 + 0) + 2*p**2 - 3 + 3 as i*p**2 + h*p + o and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/8 (b) 3431.005 (c) -4 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-14 - (-17 - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (9 - 0)) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/7 + 26*m**2\/7.\nAnswer: -m**2*(m - 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvue when four letters picked without replacement from {g: 2, u: 2, v: 6, e: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1186, -1172, -1136, -1066, -950, -776, -532?\n\"Answer: 2*u**3 - u**2 + 3*u - 1190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -541 less than 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 300 = -10*y. Calculate the greatest common divisor of 32 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -396.9 - -397. Let o = -1 + 6. Which is the nearest to q? (a) o (b) 2\/5 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r**2 - 304*r - 694. Determine i(-41).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 64 * 60\nAnswer: 3840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 7:09 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**2 - 7*j + 59. Let u(m) = 2*m - 216. Let g(i) = -2*i + 270. Let z(v) = -4*g(v) - 5*u(v). Give z(h(q)).\nAnswer: -10*q**2 + 14*q - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5877866ml to litres.\nAnswer: 0.0005877866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -4.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36773 and 1738360?\nAnswer: 19121960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 25. Let z(i) = -8*i + h - 3*i**2 - 5*i**2 - i**3 - 16. Let o(c) = -2*c**2 + 18*c + 13. Let v be o(10). Give z(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1\/3, 1.51, 1?\nAnswer: 1.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16780224607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 13 + 11*u**2 - 2*u**2 + 2*u**2 + u**2 + (3 + u - 3)*(-3*u + 0*u + u) - 127*u**2 - 3612 + 3612 in the form c*u**2 + p + l*u and give c.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -44. Solve 5 + o = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/2)\/z)**(-1\/26))**(-43)*(z**0\/z**(-4))\/(z**(-1\/3)\/z**5) assuming z is positive.\nAnswer: z**(1585\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -57288 divided by -31?\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 - x - 2. Let f be -1 + 3\/(-3) + -1. Let l be (1 + f\/2)*-6. Let u be y(l). What is the highest common factor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 5:34 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c + 6. Let g(u) = 1. Let r(x) = 6*g(x) - z(x). Let w(f) be the first derivative of -210 + 7\/3*f**3 + 0*f**2 + 0*f. Calculate w(r(t)).\nAnswer: 63*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88654 * 9587.\nAnswer: -849925898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04309 and 0.8.\nAnswer: 0.75691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -70, -5, -3, 11 in decreasing order.\nAnswer: 11, 1, -3, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18533.98 - 79.5.\nAnswer: -18613.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155*x**4*z**2 + x**2*z**2 + 2*x**2*z + 2*x*z**2 - 39*x + 2*z**2 - 2*z wrt x?\nAnswer: -1860*x**2*z**2 + 2*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 4*u + 16, -3*x - 307*u + 312*u = 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 282048615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58209.\nAnswer: 3, 19403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s. Let z(h) = -503545*h. Calculate z(i(x)).\nAnswer: 1510635*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - -3) + (-88)\/56?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 8*p**4\/3 + 62*p**3 + 330*p**2 + 1004*p\/3 + 64 = 0.\nAnswer: -16, -6, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45803, -183326, -412531, -733418?\n\"Answer: -45841*y**2 + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -3*n**5\/40 - 2*n**4\/3 - 5*n**3\/2 + 19*n**2. Let p(s) be the first derivative of a(s). Is p(-5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from fxc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x + 10. Let l be w(-4). Let g = l + 24. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18505\/6 - 3092. Let s be (-79)\/22 + (-4)\/8. Let i = -755\/198 - s. Find the common denominator of i and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(153))\/((sqrt(90) + sqrt(90)*1)\/sqrt(10)).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 - 66.3. Round u to 1 dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 + 2*y**5 + 4*y**5 + 2*y**5 + 0*y + 0*y + (0*y**4 - 3*y**4 + 5*y**4)*(-3*y + 0*y + 4*y) - 3*y**5 + 6*y**5 - 2*y**5 - 42*y**5 + 46*y**5 - 121*y**5.\nAnswer: -107*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 - 2836*j\/3 - 2010724\/3.\nAnswer: -(j + 1418)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 94*x**3 + 2*x**2 + 207 wrt x.\nAnswer: 282*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -28*q + 10. Let f(w) = -10*w + 3. Let o(n) = -7*f(n) + 2*h(n). What is o(-2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -416249*g**4 + 2704*g**2 + g - 6?\nAnswer: -9989976*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1040*p = -1056*p + 69376. What are the prime factors of p?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -12*x**2 + 15. Let w = -16 + 28. Suppose -w = 6*q - 9*q. Let l(k) = 3*k**2 - 4. Determine q*m(h) + 15*l(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 145867\/474 - 1843\/6. What is the common denominator of -68\/3 and a?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 515 = 587. Sort 1, 2, h, -16 in decreasing order.\nAnswer: 2, 1, h, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10 = -0*w. Suppose 0 = -5*h + h, 5*u - w*h = 190. Calculate the remainder when 149 is divided by u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33777034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7615.04 plus -0.051?\nAnswer: 7614.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/9 + 1406878*c\/9 - 1406876\/9.\nAnswer: -2*(c - 703438)*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 + 2.07. Let t = -2\/619 - 1204\/10523. Which is the third biggest value? (a) 0.5 (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -240.95 + 0.2.\nAnswer: -240.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 11*f**2 + 11*f + 15. Let h be d(-10). Let j(i) = i**3 - 6*i**2 + 4*i + 5. Let z be j(h). Suppose z = 13*s - 2*s - 990. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(1 - 0\/2). Let g be (-4*2)\/(-4) + r. Let n(h) = 4*h + 1. Give n(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42434249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229761 is divided by 164?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1794514190 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**5\/5 + 2*b**4 + 8*b**3 + 16*b**2 - 9*b + 28. Let c(i) be the first derivative of k(i). Determine z so that c(z) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01184152986 rounded to 6 decimal places?\nAnswer: -0.011842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**2 - 5*c. Suppose -130 - 162 = 4*t. Let f be (-10)\/75*-1 + t\/(-15). Let a(z) = -3*z**2 + 2*z. What is f*a(d) + 2*s(d)?\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -689, -1260, -2211, -3542, -5253, -7344, -9815?\n\"Answer: -190*n**2 - n - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*f**2 + 105*f**2 + 7*f**4)*(-10 - 3 + 4) + f**2 + 2*f**2 + 0*f**4 + 2*f**4.\nAnswer: -61*f**4 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 7*j - 5*j. Suppose 7*x = -j - 84. Which is smaller: x or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 2*a**2 - 2*a - 1. Let v(h) = -2*h**4 - 2*h**3 - 5*h**2 + 6*h + 3. Let j(z) = 12*t(z) + 4*v(z). Factor j(y).\nAnswer: -4*y**2*(y - 1)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1822\/285 - 4266061\/17670. Let d = r + 495\/2. Which is bigger: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + -54 - -46 - -16?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.207 + 0.107. Suppose -5*t - 5*h + 30 = 0, t = -2*h - 2*h - 3. Let k be 6\/3 - 14\/t. Which is the closest to 1? (a) k (b) 0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcsqnddlddqqss. What is prob of picking 2 s and 1 q?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -97586293 less than -100?\nAnswer: 97586193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -0.7, 5, -4.1, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*j = 2*b + 33, 0 = 4*b + 3*j - 73. Let t be (-2660)\/(-15)*1056\/308. Suppose 0 = -b*w + t + 1376. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, j: 4, x: 1, m: 7}. What is prob of picking 2 m, 1 j, and 1 o?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52478 in -2, -1\/3, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2943170703?\nAnswer: 3, 11, 4261, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*p = 2*b + 6, -4*p = b - 4. Solve 0 = -p*s - 3*s + 3*y + 16, -y = 2*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -815*q - 548. Give d(-1).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b + a = 23*b - 311, 0 = 5*b + a - 1561. Calculate the highest common divisor of 2548 and b.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14655733 (base 9) in base 10?\nAnswer: -7300074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 3. What is the closest to -2\/7 in p, 0.7, -2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {g: 2, f: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0 = -24. Let c be (6\/(-8))\/(-6*(-3)\/w). Let g(o) = -o**2 - 5*o + 1. Let n be g(-5). What is the smallest value in 4, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 27*g - 1088. Let x(i) = 10*i + 5 + 0 - 4. Calculate the remainder when z(41) is divided by x(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2. Let y(b) = 774837*b. Calculate w(y(f)).\nAnswer: 600372376569*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*k - 45*k = -15. Solve k*a - 4 - 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Suppose 4*w = 891 - 291. Let m be 1\/4 - w\/(-8). Solve 3*u = 5*k + m, n = -2*u + u + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2906\/933 or 2?\nAnswer: 2906\/933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - 55?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 5139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1669?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 14) in base 9?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + (-24 - (-1 - 20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, i: 2, f: 6, m: 2, x: 1}. Give prob of sequence msmx.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) - ((-1 + sqrt(500) + sqrt(500) - sqrt(500)) + sqrt(500))) + sqrt(500) - sqrt(500))**2 - sqrt(5) - ((sqrt(5) + -2)*-2 - sqrt(5)))*-2.\nAnswer: -994 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 407169 and 843.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) - (sqrt(170) - (sqrt(170) + sqrt(170)*2 + sqrt(170))*2 - sqrt(170))))\/(sqrt(1000)*5 + sqrt(1000) + sqrt(10))*3*6 + -3.\nAnswer: -144*sqrt(17)\/61 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*802.22029.\nAnswer: -4011.10145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 49. Is c greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 42, 0 in increasing order.\nAnswer: 0, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -29*u**2 - 271*u - 91. Let w be q(-9). Which is the fourth smallest value? (a) 229 (b) w (c) -1\/8 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 11*c + 15. Let s(l) = l**2 + 5*l + 3. Let v(t) = -i(t) + s(t). Calculate v(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + t)*(-3*t + 13*t + 0*t)*(1155*t - 2457*t + 1218*t + (-1 + 2 + 0)*(-3*t + t + t)) in the form s*t**2 + z*t + m + b*t**3 and give b.\nAnswer: -850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -148386.0000081721 - -148386. What is i rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -10*j + 91. Let y be x(4). Calculate the greatest common factor of y and 663.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3926338666?\nAnswer: 2, 17, 31, 3725179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 26 = 39*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 15*g**2 - 26*g + 2. Let z be j(-13). Suppose z*f - 3*f + 4*l + 1462 = 0, 1470 = f + 4*l. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4160\/100 - (-4)\/10. What is the units digit of (-830)\/(-14) - 12\/d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**3 + 6*l**3 + 3 + l - 4 + 0. Let o(q) = 5*q**3 - q**2 + 7*q - 4. What is o(j) - 4*s(j)?\nAnswer: j**3 - j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 232 = 3*d, 2*f + 5 = 7. Let i = 90 + d. Calculate the highest common factor of i and 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20056502 to the nearest 100000.\nAnswer: -20100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -12*a. Let s(l) = -13*l - 9. Calculate 2*h(p) - s(p).\nAnswer: -11*p + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, q: 1, z: 3}. Give prob of picking 2 f and 1 q.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/18408 and 33\/8968?\nAnswer: 349752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**2\/2 + 11*a - 1. Let t be x(-6). Suppose -4*f - l + 24 = l, -f + t*l = -6. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i - 26. Let n(x) = -3*x + 26. Let s(d) = 4*b(d) + 5*n(d). Let t be s(-2). Calculate the greatest common factor of t and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4417?\nAnswer: 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-25)\/f*f*f\/f**(-10\/7)*f)**27 assuming f is positive.\nAnswer: f**(-4077\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000051385 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13871 - -13870.95666. Put 4, -0.5, h in ascending order.\nAnswer: -0.5, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 3:28 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-2) + -3)\/((-13)\/2379). Find the second derivative of -d - 173*p**2 + 192*p + 1281 wrt p.\nAnswer: -346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1020 - 988. What is the remainder when f is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 11:39 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {k: 1, b: 3, p: 6, l: 2, t: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (127 - -29) + -169 + -129 + 1\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 559383187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/17))**43*k**(-2\/61)\/(k**(-2\/25)\/k))**42 assuming k is positive.\nAnswer: k**(6648558\/25925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/11 - 90*m\/11 - 612\/11.\nAnswer: 2*(m - 51)*(m + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 6) to base 11\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/5, -4, 1, 3\/5, -0.4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s - 65 = -5*t, t - 17 = -3*s. Let d(a) = -3*a + 42. Let j be d(t). Solve 3*z - z + 4 = j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggxs. Give prob of sequence xs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 19*v**2 - 192*v - 18. Determine n(11).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27273619120301*d**4\/4 + 27268182699095*d**3\/4 + 2718029997*d**2\/2 + 90301*d + 2.\nAnswer: -(d - 1)*(30101*d + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 14*k - 264. Give z(16).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7682 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 + 1 - (0 + -1). Let u be 9\/d*4\/(-2). Sort -1, u, 2.\nAnswer: -1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than -43001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13\/2 - -95\/14. Let x = -8.7458 - -8.5978. Which is the third smallest value? (a) -3 (b) x (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**3\/6 + 367*u**2\/2 - 4*u + 14. Let m(q) be the first derivative of k(q). Is m(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 370?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(-204))\/(1\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 365 + -373. Put -5, l, -1\/5 in descending order.\nAnswer: -1\/5, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 9:38 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55954 and 4.\nAnswer: 111908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1 + 3 - 7 + 3 + 3 - 5 + 0 + 1 + 1 + 0 - 4 + 3 + 2 + (0 + 3 - 5)*(-3 + 2 + 2) + 0 - 1 + 2 - 1 + 1 + 4 + 5 - 2 - 2)*(-2 - 3 + 7)*(x - x + x).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21842 + -21806.506. Round n to zero decimal places.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3230075*w. Let j(i) = -11*i. What is s(j(b))?\nAnswer: 35530825*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5862 by 10.\nAnswer: -2931\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19\/16906 - -67757\/118342. Factor 0 - 12\/7*j - 20\/7*j**3 + d*j**4 + 4*j**2.\nAnswer: 4*j*(j - 3)*(j - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 403, 843, 1443, 2203?\nAnswer: 3123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*g**4 + 3*g**2 + 2628 - 6*g - 2636 + 13*g**4 + (2*g**3 - 5*g**3 + g**3)*(0*g + 5*g - 3*g).\nAnswer: -3*g**4 + 3*g**2 - 6*g - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wil when three letters picked without replacement from wwwiwwwwiiiiliw?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i + 16 = -19*i. Let f(u) = 2*u**3 - 11*u**2 + 15*u - 13. Calculate the remainder when f(7) is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14809686?\nAnswer: 2, 3, 17, 145193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-2)*(-87)\/522)\/((-5)\/2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 - 66*t\/5 + 124\/5.\nAnswer: 2*(t - 31)*(t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(98) + 3)**2.\nAnswer: 70*sqrt(2) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-42) + (-4)\/(-6))*(-1430)\/(-286)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438.7 rounded to the nearest 10?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 57463553?\nAnswer: -57463550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**8\/336 + 3*x**6\/40 + x**4\/3 + x**3\/3 - 17*x**2 - 2*x. What is the second derivative of h(r) wrt r?\nAnswer: -20*r**3 + 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**3 + 2*g**2 - g + 30. Let x be i(0). Which is bigger: 60 or x?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -45*f. Suppose -q = -a + 4*a + 1, -4*q - 3*a = 4. Let t be u(q). What is the tens digit of 10\/t - 97\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 15. Let k be r(9). Let a = -2 - k. Let h be a - 2 - 1 - -4. Solve 0 = -h*m - 7 - 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -103, 23, -1, -4, 7, 0.04 in decreasing order.\nAnswer: 23, 7, 0.04, -1, -4, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -46.036. Let d = k + -0.0360611. Round d to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12722019 by 5.\nAnswer: -12722019\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18288 and 4025646?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9089 + -2.9089. What is the smallest value in 5, -15, 0.4, p, 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-76)\/5)\/(207\/(-45)*2)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117 or -66\/13?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 0*n = -2*w - 8, 5*w - 2*n + 14 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, -98, -143, 10, 487?\nAnswer: 1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39433979813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4)*f**(-17))**(-30) assuming f is positive.\nAnswer: f**(1035\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**22*r)\/r)\/r)**(-3)\/(r**(2\/9))**(-18))**(-2\/9) assuming r is positive.\nAnswer: r**(-140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111101 (base 2) to base 8.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/3 (b) 69 (c) 8 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**2 - 31 - 10*v**4 + 2*v**2 - 3*v**2 wrt v?\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**5\/60 + f**4\/6 - f**3\/3 - 2*f**2. Let i be o(4). Let a = -39 - -38.9. Put -2\/5, i, a in decreasing order.\nAnswer: a, -2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1737125?\nAnswer: 5, 13, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1782, -1780, -1778, -1776?\nAnswer: -1774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 23*u**2 + 20*u + 20. Let r(b) = -8*b**2 - 7*b - 7. Suppose -3*v - l = 4, v - 4*v - 3*l = 0. Let i be (36\/(-54))\/(v\/18). Give i*c(n) + 17*r(n).\nAnswer: 2*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1796 + -5891. Let t be (-3)\/2*15\/(c\/28). Are 1 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n - 3. Let z be o(-4). Suppose -r = 3*g + 67 + 116, -z*g + 577 = -3*r. What is r rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 469*d*n**2 + 15*d*n + 20*n wrt n?\nAnswer: 938*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtcgvccgc. Give prob of picking 1 c and 1 g.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/(-140)*(2660\/(-30))\/38?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41965254*n + 5483662 wrt n?\nAnswer: 41965254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2310, -3169, -4590, -6567, -9094?\n\"Answer: p**3 - 287*p**2 - 5*p - 2019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/5)\/(85*(-79)\/(-33575)) + (-691)\/63.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m + 18*m - 118 - 21*m to the form u*m + a and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - v - 2. Let g be r(0). Let h be (-8)\/(-3)*g\/24. Let d = -0.1 - 0.1. What is the second smallest value in h, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/9 - (-3)\/9. Suppose -t + 3 = s*h + 2, -h - 2 = t. Suppose 20 = 2*m - b - 0*b, h*m + 3*b - 12 = 0. Solve m = -w + 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43 in 11, -109, 1\/5, 1, -2\/7, -0.3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*c**3*g - 212464*c**2*g - 160465*c*g - 4*c - 11*g wrt c?\nAnswer: -492*c*g - 424928*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h - 5. Suppose 25 + 155 = -45*u. Let c(g) = -7*g + 6. Determine u*c(s) - 5*p(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4846125 and 368.614.\nAnswer: -4845756.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2199351, -2199368, -2199409, -2199486, -2199611, -2199796?\n\"Answer: -2*p**3 - 3*p - 2199346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*m - 0*m, 4*m = o. Let b be 52\/3*(3 - o). Let t = b - 26. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 - -65. Let u be (-8)\/(((-15)\/18)\/5). Suppose -w - 2*d + u = 0, g*w - 2*d - 78 = w. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 66, 5, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-172212)\/(-16) - (187\/44 - 4)?\nAnswer: 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4518?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-35) + 45\/(-175). Let w = 59 + -65. What is the second biggest value in w, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -406*l + 397*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17401.\nAnswer: 17401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.15203 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.4, 4, 38, 10, -8 in increasing order.\nAnswer: -8.4, -8, 4, 10, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 6 - (-25 + (19 - -3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 2, s: 1}. What is prob of picking 1 j and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (40\/(-2))\/(56\/(-4774)). What is g rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**3\/3 - 2*t**2 - 2*t + 274. Give o(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/5)\/g)**(-6\/17)*(g*g\/(g\/g**(-3)))**(-1\/8) assuming g is positive.\nAnswer: g**(181\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.636 + 2.364. What is the biggest value in v, -10, -2\/9, -3, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.1 (c) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-12))\/(4\/6). Let w be -6 - ((-1)\/1)\/s. Are w and -5 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7508.389 hours to microseconds.\nAnswer: 27030200400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 689 - 685. Solve -12 = -3*i, w*u + 3*i = 18 + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9466179*h**3 + h**2 + 67629661.\nAnswer: 28398537*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 8856 - 390568 = 0. Suppose 7*q + o = 165071. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dyyddydydtttdytdd.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/7 + 1420173*h**2\/7 + 72031732485*h - 72031935367.\nAnswer: (h - 1)*(h + 710087)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4128 + -3893. Calculate the highest common factor of z and 1739.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3799 is divided by 100.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**4\/4 + 22*h**3\/3 + h**2\/2 + 38*h + 4556. What is r(22)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Is 17 a factor of 13753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + (80 - 89).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000118094652 rounded to seven decimal places?\nAnswer: 0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2909169, 5818338, 8727507, 11636676, 14545845, 17455014?\n\"Answer: 2909169*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 138303767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 139350 and 11200.\nAnswer: 31214400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 1595 + 5220 = 5*u, a = 0. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + -52 + (-3 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 16*u**2 + 60*u - 14. Calculate b(19).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 268*a**2. Let y(w) = -3*w**2. What is y(p(b))?\nAnswer: -215472*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 49.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m - 2. Suppose 3*x + x = -24. Let k be n(x). Round k to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - (90\/(-20) - 15\/(-10)). Solve -4*w + q = -2*w + y, 3 = -5*w - 4*q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*d - 897*d + 220*d + 229*d + 227*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 34039 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: Solve 2 + 28 = 5*w + 5*a, -26 = -w - 5*a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39.52 + 3.28. What is z rounded to zero dps?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*y = -3 - 2, -2*y - 5 = -3*k. Let s be k + 15\/(-3) + 1. Which is bigger: -13 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39637, -39637, -39635, -39631, -39625, -39617, -39607?\nAnswer: -39595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.86 at most 2.44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 5688?\nAnswer: 5688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6051708?\nAnswer: 2, 3, 13, 67, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4\/5 + 8*r**3 - 348*r**2\/5 + 576*r\/5.\nAnswer: 4*r*(r - 3)**2*(r + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3049*n - 15. Let w be i(9). List the prime factors of w\/(-165) + 2\/(-5).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -207 + 227. What is the greatest common divisor of v and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tip when three letters picked without replacement from sttttptit.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (42\/(-56))\/(3\/12). Let w be 10\/(-3*2\/(-6)). Which is the nearest to -0.2? (a) w (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 517872?\nAnswer: 4660848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (318\/(-424))\/(-460*(-63)\/672)?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j - 43. Suppose 22 = -12*z - 98. Let o be b(z). Differentiate o + 3 - 15 + 5*r + 21 wrt r.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168, 0, -1, -9.\nAnswer: -168, -9, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - h - 6 = 0, 7*r - 11*r - 4*h = 8. Let m be ((-6)\/(-24))\/(r*2\/16). Determine p so that -4\/5*p**m + 0*p + 0 - 2\/5*p**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**4)*(l**(-9\/8)*l)\/l*(l*l\/(l*l**(-3\/5)\/l)*l)**(-36))**(10\/3) assuming l is positive.\nAnswer: l**(-5069\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -181*s**3 - 6*s**2*w - 18*s*w - 929610*w wrt s?\nAnswer: -543*s**2 - 12*s*w - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*q + 12, 7*j = 3*j + 3*q + 14. Suppose -3*z = -k - 6*z + 32, 3*k + j*z - 110 = 0. What is the smallest common multiple of k and 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -105 + 107. Factor -m*f**2 - 5 + 6*f + 4 - 2*f + 7.\nAnswer: -2*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -24031432214?\nAnswer: 24031432211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1867 is divided by (-273)\/(-13) + (-14 - -19)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -45. Let o(h) = -191*h**3 + 2*h**2 + 4*h - 1. Is o(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -10.1. Let v = 6 - 4. Suppose 0 = 4*o - 2*t - 22, v*t + t + 9 = 0. What is the closest to 0 in o, -0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 33 + -15 + 0 + 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7287 and 8.\nAnswer: -58296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((6\/9)\/(-2))\/((-221)\/2886). Is s not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 41, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 10*q**5\/7 - 594*q**4\/7 - 1604*q**3\/7 - 72*q**2 + 496*q\/7 = 0.\nAnswer: -2, -1, 0, 2\/5, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1185*u. Let l(c) = -2*c. Calculate a(l(i)).\nAnswer: 2370*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**37*t*t**(11\/4)*t**(-41)\/t*t**(-33) assuming t is positive.\nAnswer: t**(-137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 21*c**2 - 55*c - 278. What is the thousands digit of i(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*p = -2, 5*f + 2*p = 7*p. What is the smallest value in -4\/7, f, -21, -4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -5. Suppose 5*g + x*w = -11, 5*g + 5*w + 1 = -4. Let k(s) = 8*s + 4. Let v be k(g). What is v rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*q = -3, -4*q - q = 4*y - 1. Suppose -y = 2*l - l. What is the closest to -0.1 in 1, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.211 + 0.111. Let g = -6.1 - h. Which is the closest to 0? (a) -0.1 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32621?\nAnswer: 32621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8763252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6497 and 58028?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 403618326*d**3 - 425735500*d**2.\nAnswer: 2421709956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and 0.32.\nAnswer: -5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1392, 1425, 1486, 1581, 1716, 1897?\nAnswer: 2130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**4\/3 + 40*o**3 - 28*o**2 - 2600*o\/3 - 800 = 0. What is o?\nAnswer: -30, -4, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 3*l + 14. Let z(s) = -6*s**2 - 5*s + 31. What is -7*f(c) + 3*z(c)?\nAnswer: -4*c**2 + 6*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1831 = 4*s + m - 4*m, -2289 = -5*s + 4*m. Suppose -2*i - 2*i + 640 = -5*o, -s = -3*i - 2*o. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1.62, -2\/5, 0.4, -563?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2403\/25111 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*g + 180*g - 30 - 30.\nAnswer: 150*g - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 2. Suppose 3*i - 7*i = -4, g*y - 5*i = -218. Let f = 112 + y. What is f rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3160*u**2 + 1390*u + 25. Let s(o) be the first derivative of -81*o**3 + 107*o**2\/2 + 2*o + 239. Let p(v) = -3*k(v) + 40*s(v). Factor p(m).\nAnswer: -5*(2*m - 1)*(24*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16292 is divided by 749.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + u**2 + 2*u + (-3*u - 3*u + 4*u)*(-43 + 43 + 6*u) - 14*u + 14*u + 12*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19779 by -68.\nAnswer: 19779\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-10))\/((-14)\/25*(-950)\/665)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 651225 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, 11, -1\/3, 14?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8630660 by 6.\nAnswer: 4315330\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2610883 and 411189.\nAnswer: 3343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*i - 3*v - 552, -2*v - 1136 = -4*i. Suppose d = -d + i. Let f = d + -65. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57993 and 351.\nAnswer: 521937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 times -31904?\nAnswer: 3286112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 = -41*v - 49 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38464 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -21*a + 18. Determine m, given that -4*m + 2*m**5 - 2*m**4 - 6*m**2 - 75*m**a + 147*m**3 + 16*m**2 - 78*m**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**3\/5 - 1932*o**2\/5 + 269643*o\/5 - 791622\/5 = 0.\nAnswer: 3, 199, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 + 4*z**3 - 31*z**4 - 6*z**3)*(6 + 10*z - 6).\nAnswer: -310*z**5 + 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from {t: 4, i: 1, b: 5, f: 2, z: 1, p: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmtzmzmmmmmmmmmmm. Give prob of picking 1 m and 1 t.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-18 - -11) - (1 - 6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 164*w**7\/105 - 1267*w**5\/60 - 1006*w**2. Find the third derivative of d(p) wrt p.\nAnswer: 7872*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719915437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3319614*32.6\nAnswer: 108219416.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 219.5102621 to the nearest integer.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -7*k. What is the units digit of -1 + (4 - (k - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 2162*w**2 + 254893*w + 10110954. Let i(j) = j**3 + 1079*j**2 + 127447*j + 5055477. Let m(g) = 5*i(g) - 2*z(g). Factor m(v).\nAnswer: 3*(v + 119)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 + 129*o**2 - 456*o - 453. What is c(39)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12*3\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -70*w + 47. Let j(i) = 70*i - 46. Let k(p) = 6*j(p) + 7*m(p). Differentiate k(h) wrt h.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*v**4 - 9197*v**3 - 3879*v**2 - 6*v - 5 wrt v.\nAnswer: 192*v - 55182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -121*t - 135*t + 839 + 697 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 416 (base 7) to base 12\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 + -91.1. Let q = c + 7.1. Do q and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/14 - 595*35\/(-1715).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -113*q + q**2 + 51 + 113*q - 18. Let n(j) = 4*j**2. What is m(n(g))?\nAnswer: 16*g**4 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 24 = -3*g, g - 165 = -3*a - 177 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9129, 18257, 27385, 36513, 45641?\nAnswer: 54769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.2807764 micrometers?\nAnswer: 280.7764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27938 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 0. Let y(d) = -d**3 + 3*d**2 + 4*d + 2. What are the prime factors of y(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250, 454, 646, 820, 970, 1090, 1174, 1216?\nAnswer: 1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-168)\/(-70))\/(4\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*i + 34 = 0, -6*m + 2*m = -4*i + 44. Let j = -5 - m. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5872a3 - -c?\nAnswer: 5872b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -4, -2 in increasing order.\nAnswer: -43, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1454 and -0.57.\nAnswer: 828.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -112432, -112433, -112434, -112435, -112436?\n\"Answer: -u - 112431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t**3 + 4*t**2 + 9*t - 3. Let p(q) = 7*q**3 + 3*q**2 + 8*q - 3. Let k(n) = -7*p(n) + 6*v(n). Let i be k(2). Solve i = 3*u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 10. Determine l(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87687082?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, -541, -3, 0, -4, 3 in decreasing order.\nAnswer: 9, 3, 1, 0, -3, -4, -541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1221, 1218, 1213, 1206?\n\"Answer: -f**2 + 1222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 5*a**2 - 9*a - 12. Let r be j(-4). Suppose 44*g - 48*g + r = 0. Let b(w) = 0*w + 9*w - w. Determine b(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 - 37. Let h = -32 + k. Suppose 4*z = -8 - 4, 2*v + h*z - 352 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1785)\/462 + 4)*22. Let z(u) be the second derivative of -36*u**2 + 2*u**v + 0 - 1\/24*u**4 + 33*u. Suppose z(o) = 0. What is o?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 486779948564 + -486779947705.999995566. Let q = -858 + o. Round q to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 98, -2, -3, -8.\nAnswer: -8, -3, -2, 4, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m + 29. Let f(u) = -5*u + 32. Determine 9*f(q) - 8*i(q).\nAnswer: -5*q + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovyy when four letters picked without replacement from {y: 3, v: 3, d: 2, o: 1, g: 4, x: 2}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 411312 and 17138?\nAnswer: 411312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**5 - 4*d**4 - 48*d**3 + 112*d**2 - 64*d.\nAnswer: 4*d*(d - 2)**2*(d - 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide -5 - 66*(-7 + 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 4*n + 3. Let f be i(-4). Let t = f - -2. Suppose 0 = -t*v + 33 + 17. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 - 8*k**3 - 13*k**3 - 6*k**2.\nAnswer: -21*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 4*g = -38. Let c = g + 37. Suppose 66 = -3*n + 171. Calculate the remainder when n is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 48, 191, 430, 765, 1196, 1723, 2346?\n\"Answer: 48*z**2 - z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94*g - 1785 + 281 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/14, -0.24, -9?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/6615 + -496109\/52920. Find the common denominator of -81\/116 and c.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-861*j + 347*j + 143*j)*(5*j + 0*j - 3*j).\nAnswer: -742*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 3171?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 + 7*k**2 + 0 - 5*k**2 + 5)*(-3*k**2 - 2*k**2 + 3*k**2 + 0 + 0 - 2*k**2 + (-k - 2 + 2)*(0*k + k + 0*k) - 13*k**2 - 28*k**2 - 2*k**2).\nAnswer: 144*k**5 - 96*k**4 - 240*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.44 + -1.17. Let w = 1.58 - o. Which is smaller: w or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*b**3*i**4 + 5*b**3 - b**2 + 24*b*i**2 + 1342*i**4 - 14*i**2 wrt i?\nAnswer: 240*b**3*i + 32208*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 746 and 126832309?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Suppose 3*c + a*y - 40 = -0*y, 0 = -5*c - 4*y + 68. Suppose -2*h - h = -c. Solve 5*z + 1 = 11, 0 = 4*q - h*z + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/324*9)\/(3\/(-24)*13)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 13 = -2*h - 0*h, 0 = -5*h - d + 10. Let g(v) = v**2 - 2*v. Determine g(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p**2 + 0*p**2 - 2*p**2)*(-p + 0*p - p) + 32*p + 38*p**3 + 10456028 - 10456028 in the form y*p**2 + d + q*p + m*p**3 and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q - 15 = 18*q. What is the third derivative of 6*o**3 - 24 - o**2 + 12*o**q + 23 wrt o?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1042 = 3*l - 2*m, 3*l - 701 = l - 5*m. Let v = -44 - l. What is v rounded to the nearest 10?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1699 + 1698. Which is the closest to s? (a) 14 (b) -0.3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f**(-2)*f)\/f)*f)**(31\/5))**(-28)*(f**0)**(-4\/11)\/(f*f**0*f)**(-6) assuming f is positive.\nAnswer: f**(-3412\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195 + -96 - (3 + 10) - (1 + 6).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407744.\nAnswer: 2, 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 197 (b) -9\/13 (c) -240\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 112, 199, 286, 373?\n\"Answer: 87*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121304 (base 5) in base 8?\nAnswer: -47354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -464 + 466. Suppose 0 = -5*a + g*o - 0*o + 126, 4*o + 108 = 4*a. Solve -6*p = -14*p + a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*w**4 - 2*w**4 + w**3 - 3*w**4)*(510 + 791 + 286) to z*w**4 + u + b*w**2 + k*w**3 + y*w and give k.\nAnswer: 1587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 11*c - 7*c - 59 - 187)*(-4 + 1 + 1) in the form i + r*c and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -34. Which is bigger: 3\/32 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.47 - -594274?\nAnswer: 594278.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 + 3*y - 6. Is 40 a factor of r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*p = -2307 + 293 - 456 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o - 1 = 3*u, 0 = 2*o + 2. Let q = 3.7 + -7.1. Let m = q + 4.4. Which is bigger: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 - (-14 + (-13 - -94 - 7 - 9))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + b - 2*b)*(260 - 95 - 95)*(-2 + 2 + 1).\nAnswer: -280*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 409 - 35. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.2 + 22. Let h = -8.8 + r. Let s = h - -8.2. Which is the closest to -3? (a) -1\/3 (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 0.3 (c) 3\/4 (d) 112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1677051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 1182, 4458, 10972, 21804?\nAnswer: 38034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -4. Suppose -10 = -p*a + 2. Solve a*c - 14 = 2*g, -2*c - 5*g = 22 + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**3 + 382*x**2 + 0*x**3 - 8*x**3 + 2 - 2*x + 0*x + x**3 as j*x**2 + d + b*x**3 + z*x and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppcppppcpcp. Give prob of picking 1 p and 3 c.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 10. Let f(s) = -s**3 - 30 - 28 - 6*s**2 + 49 + 3*s. List the prime factors of f(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 4. Let f be v(-4). Let q be 2 + -2 - (-4)\/(-10). Sort -3\/2, f, q in decreasing order.\nAnswer: f, q, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*k + 30, 4*j + 4*k + 16 - 52 = 0. Let h(p) = -2*p**2 + 11*p - 10. What is the common denominator of -3 and h(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 289 + -245 + (-2460)\/56.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**4\/6 + z**3\/6 - 3*z**2 - z + 257. Calculate c(6).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: d (base 15) to base 6\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + a. Let y(c) = -12*c**2 + 12*c + 4. What is 10*t(m) - y(m)?\nAnswer: 2*m**2 - 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 834\/(-30) + 4\/5. Let z = 81 + -101. Let i be 6\/30 - (2 - 494\/z). Which is greater: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105 + 211. Let n = r - 21. Let i = n - 84.9999914. What is i rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2\/5 - 501080*q - 5010816\/5.\nAnswer: 4*(q - 626352)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**5 - 3292*m**4 + 26164*m**3 - 68532*m**2 + 58680*m = 0?\nAnswer: 0, 2, 3, 815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5521 - 5557 = -6*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 964 - 956.01. Let j = 8 - i. Which is greater: -0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 2:16 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i = -o + 2, -2*i - 5*o + 10 = 0. Suppose i = 5*x + 45 - 20. Let p = 516 - 515. What is the nearest to p in x, 2, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000158945106 to seven decimal places.\nAnswer: 0.0000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 less than 540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 - -1608459230.\nAnswer: 1608459376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 7 - (10 - 0) - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 297081 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 2. Let t be w(1). Suppose -a + 1 = -t. Let z be (a\/(-6))\/((-2)\/66). What is the highest common factor of z and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2658, -2666, -2680, -2700?\n\"Answer: -3*p**2 + p - 2656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 3 - 1\/2*p**2 + 0*p. Let k(f) = -5*f - 4. Let j(r) = -k(r) + 4*q(r). What is j(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1662 rounded to two decimal places?\nAnswer: -1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58\/(-116))\/(1\/(-18)*-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.5765 + -0.4235. Which is the closest to -1\/9? (a) 2\/5 (b) 5\/6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnggwfwggwf. Give prob of picking 3 w.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73604.\nAnswer: 2, 18401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide (2172\/(-16))\/((-2)\/(-72) - 4\/36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 41063.98 millilitres?\nAnswer: 41.06398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2239 + -5052. Let t be (-18068)\/(-2)*(-5)\/(-16). Let p = q + t. Calculate the common denominator of 107\/6 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 0 + 4 - (1*sqrt(13) + sqrt(13))*-2) + 3*(sqrt(637) + (1 + sqrt(637))**2) + 4.\nAnswer: 68*sqrt(13) + 1922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -693190 rounded to the nearest 10000?\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/17 + 434*l\/17 + 1320\/17 = 0. Calculate l.\nAnswer: -3, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 279766790905.\nAnswer: 279766790906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0301092 rounded to four dps?\nAnswer: 0.0301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -2561.\nAnswer: 25610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323 (base 6) in base 12?\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -14*v - 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -76, -6, 10, -2, 9, 8 in descending order.\nAnswer: 10, 9, 8, 5, -2, -6, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -36728704 times -1\nAnswer: 36728704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.048 - 0.352. Suppose 5*q - 16 + 1 = 4*w, -9 = -3*q - 4*w. Which is the second biggest value? (a) -0.2 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 - 9*z**2 + 7. Let t(k) = -k**3 + 8*k**2 - 7. Determine 3*h(s) + 4*t(s).\nAnswer: 2*s**3 + 5*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1)\/(3\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 17110 divided by -3422\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a5 (base 11) to base 13.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**2\/2 - 24*j + 613. What is g(-19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 1148?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313 (base 5) to base 9.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 50708 divided by -4\nAnswer: -12677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -793a - 4?\nAnswer: -7940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7850, -33771, -77768, -139841?\n\"Answer: -9038*a**2 + 1193*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - (-36 - (3 - 1)). Let q = j - 22. Suppose 15 = -7*f + q*f. Solve t - f = -1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10*g**3 + 5*g**2 + 14*g + 8. Let d be c(-2). Do -86 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 138 - 48*g**2 + 82*g**2 - 36*g**2 + 2*g**3 + (4 + 1 - 6)*(0*g**3 - 6*g**3 + 3*g**3) in the form q*g + d + m*g**2 + z*g**3 and give d.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 139410595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 0. What is the units digit of -1 + (-2 - 16)\/m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -950380 by -5.\nAnswer: 190076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107555 a multiple of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8\/t)\/(t*t**(-17))*(t**(-4\/7)*t)**6 assuming t is positive.\nAnswer: t**(179\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1586 + 4877\/3. Let h = -39 + n. What is the third biggest value in 3\/4, h, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 28*x + 20. Let d(v) = v - 11. Determine 3*d(n) + h(n).\nAnswer: 31*n - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 75, -2, 5\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 5*s - 3*s)*(-10*s + 33*s - 7*s)*(2*s - 4*s + 3*s).\nAnswer: -64*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 120270000 to the nearest 1000000.\nAnswer: 120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 36505152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3248.3129 - 3249. What is v rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbk when three letters picked without replacement from vvkbvkvkkk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/224)\/(-9) - 1\/(-7). Let o(g) = -g**3 + 11*g**2 - 29*g - 2. Let w be o(5). Which is the nearest to -1\/3? (a) -3 (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247098105 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1193*k - 9 + 2433*k - 1205*k to n + h*k and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8657092, -8657099, -8657106?\n\"Answer: -7*x - 8657085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 140\/6*(-12)\/(-10). Let g(c) = -c**2 + 7*c - 8. Let v be g(4). Suppose k = 3*q - 2*z, -20 = -q + v*z - 4. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1009, 998, 975, 940, 893, 834, 763?\n\"Answer: -6*l**2 + 7*l + 1008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295657 and 1211?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 6) to base 14.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 4:25 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.043 - -2.437. Let z = -0.28 + f. Round z to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Let d be (-8)\/60 + (-64)\/(-30). Solve -d + 0 = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 1, t: 1, b: 1, v: 1, h: 2}. Give prob of sequence vb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 739, 633, 443, 169, -189?\nAnswer: -631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.7+-2910\nAnswer: -2909.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 5190*u - 25825.\nAnswer: -5*(u + 5)*(u + 1033)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**3 + 6024 - 6024.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/21*-4*(-81)\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b - 172. Calculate q(22).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8*-10*2. Suppose -n*g + 8 = -g. What is the second derivative of r**g - 4*r**2 + r**2 + 0*r + 2*r wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -8*v + 40. Let j(u) = u**3 - 6*u**2 + 5*u - 8. Let a be j(6). Let o = a - 12. What is the greatest common factor of v and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -2\/3, 0.5, -483, -2, -29 in ascending order.\nAnswer: -483, -29, -2, -2\/3, 0.5, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -938327 divided by 10543\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 121958*i + 121953*i = 62, 5*c = 2*i + 52 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-3\/4)*b)\/b**(1\/5))\/((b*b\/(b\/(b**(3\/2)*b)))\/(b*b**5)))**(-2\/13) assuming b is positive.\nAnswer: b**(-71\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13833*g**2*z**4 + 6*g**2*z**2 + 97*g**2*z + 9*g*z**2 - 61*z**4 - 5*z**2 + 3*z wrt z?\nAnswer: -331992*g**2*z - 1464*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q**2 + q + 1. Let n be u(2). Let x(g) = -g**2 - 7*g + 11. Let m be x(-10). Let s = m + n. Solve c - 4*d - 17 = 0, -d = c + 2*c - s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -535, -528, -517, -502, -483, -460, -433?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/5 + 38*o**2\/5 - 126*o\/5 + 18 = 0. Calculate o.\nAnswer: 1, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 + 120 = -154*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*k + 3*k**3 - 16*k + 35*k.\nAnswer: 3*k*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v. Let a = -2 - -4. Let o(d) = 1 + 7*d**a - 1 - 3*d**2. What is o(q(m))?\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence noz when three letters picked without replacement from zccnjjocjjj?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1498 (b) 8 (c) 2\/59 (d) 1\/2 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -1) + 5 + -4 + -211 + 300\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-33)\/(-12) - 3) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14126 + 2330767\/165. Let n = f + -2\/33. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -2\/2903 (c) -20 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i - 9*i**2 - 5*i + 4 - 1 + 10*i**2 + 3. What is y(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 4*f**2 + 4*f + 5. Calculate the remainder when y(-6) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 32 = -2*k, 0 = -3*m - 0*m - 15. Let h = -3 - k. Sort h, -0.1, -2\/7 in increasing order.\nAnswer: -2\/7, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199959122?\nAnswer: 2, 3, 199993187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*z - 0. Let m be (-18)\/(-36)*(3 + z). Let -1\/2*r + 0 - 3*r**3 + m*r**2 - 1\/2*r**5 + 2*r**4 = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 1683*h**3 - 11365*h**2\/2 + 3105*h. What is the first derivative of c(d) wrt d?\nAnswer: 10098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 808 + -602. What is the remainder when y is divided by 80?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a factor of 6362207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12349, 12351, 12353, 12355, 12357, 12359?\n\"Answer: 2*v + 12347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2, -4, -1, -16, 0, -8 in decreasing order.\nAnswer: 0, -1, -2, -4, -8, -13, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 746984 >= 746997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-33)\/((-1782)\/(-504))*(-2)\/(-7)*-36?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 1017\/45 + -3*(-3)\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38938, 77763, 116578, 155377, 194154, 232903?\nAnswer: 271618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 47361592.\nAnswer: 2, 5, 47361592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 - 337 = -5*d. Suppose -g - y = d + 11, 5*g - 2*y + 150 = 0. Round g to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h. Let r(g) = 2*g - 4. Let i(c) = c - 1. Let q(f) = -4*i(f) + r(f). Determine q(p(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 - -12603?\nAnswer: 12544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 32.\nAnswer: -3, -1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 72 + 3*b**2 - 25.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -29. Let p be (1\/3)\/((-2)\/(-18)). Suppose 5*w = 15, -p*d + 4*w = -5*d + 18. Calculate the lowest common multiple of q and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28*1)\/((-62)\/(6076\/49))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 35*u + 8. Let p be q(-10). Let f = -1122 - p. Round f to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + w - 25. Calculate f(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -66685850 + -0.14?\nAnswer: -66685850.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43030.\nAnswer: 2, 5, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4303 times 25?\nAnswer: 107575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31669645?\nAnswer: 5, 7, 904847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 1:53 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3.03. Let k = b + 0.07. Let n = -3 - -3. What is the closest to k in n, -5, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418374934745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 2272673634?\nAnswer: 2272673639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2. Let l(p) = p**2 - 1. Let z(k) = -k**2 + 4*k + 31. Let v be z(-4). Calculate v*i(g) + 2*l(g).\nAnswer: g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -18*l**2 - 13*l**2 + 23*l**2. Let m(w) = -3*w**2. Give m(o(p)).\nAnswer: -192*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r - 212. Let u(a) = -738*a. Determine t(u(o)).\nAnswer: -1476*o - 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -43*t - 3. Let c be (28\/42)\/((-1)\/6). Is m(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 + 6*n**2 - 2*n + 2. Give r(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1154\/20 - (-647 + 705).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 + 89. What is the third derivative of 0*k**6 + k**6 + k**6 - 23*k**2 - 9*k**q wrt k?\nAnswer: -840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 109464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f*u**5 - 11*f*u**3 + 4*f*u**2 - 2*f*u - 2*f - 1 wrt u?\nAnswer: 20*f*u**3 - 66*f*u + 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 21*l**2 - 23*l + 19. Suppose 222 = 35*u - 548. Determine z(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 11 (b) 3\/787 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 8939644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-92))\/(2\/4). Let f = -28.396 + 23.396. Which is the third biggest value? (a) f (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 247372 = -5*k. Let v = k + -194686. Round v to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1734 is divided by 5 + (-3 - (-65)\/45)\/(4\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 - 0.86.\nAnswer: -88.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130400, 521495, 1173314, 2085857?\nAnswer: 3259124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -7\/6*j**3 - 7\/12*j**4 + 1\/2*j**2 + 6*j - 1\/20*j**5 + 0. Suppose -33 = 4*c - 9. Calculate z(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88.1 - 83. Let s = -0.0133056599 - 5.0866949201. Let x = p + s. What is x rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 36, -3\/4, 0.2, 5 in increasing order.\nAnswer: -3\/4, 0.2, 2, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0068191288 rounded to 5 decimal places?\nAnswer: -0.00682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b + 2. Suppose -m = -2*r - 6 - 4, 3*m - 2 = -r. What is j(r)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -2*i**3\/3 + 14*i**2 + 31*i - 184. Let s be 1\/(3\/135*3). Let g be x(s). Calculate the highest common divisor of 5 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, n: 3, c: 4}. 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: Express -41*i - 20*i + 24*i - 38*i in the form q*i + m and give q.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/8 (b) 2.6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 825316884 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2097740 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 29671762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*q - 3655 = 10*q. Suppose 4*l + 20 = -0*l - 4*a, 0 = -5*l + 4*a + 20. Is l < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6962.2 + 8392. Round a to the nearest ten.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21917598 less than 2733749?\nAnswer: -19183849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.178 (b) -0.1 (c) 5 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20040\/7*c + 100\/7*c**2 + 1004004\/7 = 0. Calculate c.\nAnswer: 501\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/55 + 898\/22. Let g = o + -4. Let x = g - 25. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/11 (b) 53 (c) -2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5213 + 5263. Put 5, o, -5, -3 in decreasing order.\nAnswer: o, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 961 - 3*j**2 - 931 - 19*j - 2*j - 4*j - 2*j.\nAnswer: -3*(j - 1)*(j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.33201 millilitres in litres?\nAnswer: 0.02733201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1610)\/(-10) - 2\/2. Calculate the highest common divisor of 16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 143 + 18 = 0. Let i be 0\/(1 + (0 - -1)). Suppose -2*f = -u + 15, 3*u - 6*f + 2*f - 35 = i. Calculate the greatest common divisor of u and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 - -3*(-11)\/(-42). Suppose 3*g = 5*h + 11, 5*g = 4*h + 14 - 0. Put 0, g, l in descending order.\nAnswer: g, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.02, -17, -0.4, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*z**3 + 25*z**3 - 3*z - 71*z**3 + 26*z**3 as p + i*z**2 + g*z**3 + h*z and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 5*w - 15, -4*j + 49*w + 3 = 48*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 12 - 3. Let u = -35 + 42. Let q(o) = 6*o - 9. Let j be q(u). What is the highest common factor of d and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 7700 - 15400 + 7700.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1872)*-2.\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*sqrt(13) - sqrt(13)) - sqrt(624)\/sqrt(3)) + 4*sqrt(52)*-1.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 2*v + 4. Let o be a(2). Factor 1\/3*i**4 + 2\/3*i**3 + o + 0*i**2 + 0*i.\nAnswer: i**3*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 0, -0.3, 190138, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2*l = 7, -4*q - 2*l - 15 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3323.\nAnswer: 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -233 - -237. Which is the second biggest value? (a) -4 (b) -0.14 (c) v (d) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -564 - -568.0244. Let t = 4 - u. Round t to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-five eighths of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33349599043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 19*y**3 - 496*y**2 + 321*y - 6985. Calculate m(26).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 + (-8120)\/(-224))\/(10\/(-8) + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 49153.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 7*i**2 + 8*i - 8. Let w be q(6). Solve 9*d + 10 = w*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 4. Let w be c(-3). Let r(g) = -4*g + 5. Let i(x) be the second derivative of -x**3\/6 + x**2\/2 + 6*x. Give w*r(m) + 5*i(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 388*c - 29. Calculate the remainder when v(1) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67392 and 29679.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32*c**2*s**2 + 2*c**2*s*z + 2*c**2*s + 2825384*c*s**2*z - 17701*s**2 wrt z?\nAnswer: 2*c**2*s + 2825384*c*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1859000 to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrrvvv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a55 + -585?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104340)\/3552*(-16)\/(-10)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + -124?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12240 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12023 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 107 = 4*p, 5*f + 443*p = 439*p + 343. Calculate the remainder when 1560 is divided by f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36581810?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:38 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 c when three letters picked without replacement from llcfccfflffffcl.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2366 less than 2643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6198 + t - 6174 - t - 1794*t**3 wrt t.\nAnswer: -5382*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i + 16*p + 332 = 10*i, 5*p = -0*i + 3*i + 101 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/13 or 0?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5816 + 10373 - 7728 + 12819 + 21181)*(-w**2 - w + w) to the form y + u*w**2 + c*w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + 0*d + 2*d)*(-13003 - 10790 + 1878) to r*d + i and give r.\nAnswer: 21915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149110350 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*i + 2659, b = 2*b + 4*i - 2661. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339039 is divided by 520?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*p + 2, 12 = -4*h - p - 5. Let n = h - -17. Solve 0 = 2*a - 3*x - x - n, 15 = 3*a - 3*x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*d - 6*d + 14*d + 675*d**4 + 1 - 7*d wrt d?\nAnswer: 8100*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**5\/10 - n**4\/3 - n**3\/2 + 3*n**2\/2 + 7*n. Is 10 a factor of i(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77822 divided by 2\nAnswer: 38911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*c - 6 = 0. Let a(x) = -x**3 - x**2 + x - 1. Let s be a(-2). Suppose -4*b - s = -4*j + 31, -j - 1 = c*b. Sort -3, j, 1 in decreasing order.\nAnswer: j, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + 32. Suppose -2*u + m = u. Let r = -1232 - -1234. Solve -2*f + 12 = 2*x, r*f = -3*x - 0*f + u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 7*n - 4. Suppose w = 15 + n. Suppose -5*q + 9 = -21. What is the remainder when w is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -150 and -0.86458.\nAnswer: 129.687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -72. What is the remainder when h is divided by (-45)\/(-1 - 2) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + b + b + (-b + 0*b + 0*b)*(-1 + 1 + 1) + 0*b + 0*b - 9*b + (3*b + 3 - 3)*(1 + 5 - 5) - 2*b - 2*b - 4*b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.0331, 3, -5?\nAnswer: 0.0331","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -42.057897*-0.1\nAnswer: 4.2057897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -21*y + 2*y**2 - 25*y - 17*y + 63*y. Let q(b) = 3375*b. Give q(m(f)).\nAnswer: 6750*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 e when four letters picked without replacement from {e: 5, g: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2833745*s**3 + 2833760*s**3 - 5667509*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -222*w**6\/5 - 1037*w**2\/2 - 2254*w. What is the first derivative of i(o) wrt o?\nAnswer: -5328*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o**2 + 25*o**2 + 23*o**2 - 26*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11793, -0.6, -0.19 in decreasing order.\nAnswer: -0.19, -0.6, -11793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2\/5, -6, 15\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 21*j**2 + 81*j + 21. Let h be a(-16). Solve 5*w - 8 = -s + 3, 0 = -5*s + h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g + 5*g - 2*g)*(0 - 1 - 3)*(4 + 3 - 1) as q + l*g and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*b + 96*b - 581 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 328*o**2 + 15 - 15.\nAnswer: -328*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18 and 12456?\nAnswer: 12438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-9))\/(2\/222). Let z(n) = -n**3 - 2*n**2 + n. Let k be z(1). What is the tens digit of (m\/20)\/(k\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**2 + 3*t**2 - 2*t**2)*(-40 + 17 + 107)*(0*t + 3*t - t) in the form m*t**3 + l*t**2 + o + q*t and give m.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= -10230902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -1\/6 (c) -0.8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*f + 109 = 120*f + 318 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 11. List the prime factors of k(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6*r + 3*k = -31, 2*k + 4 = 0. Suppose 3*c - 74 = y - r*y, c + 2 = 0. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 5602 + 5601 = 3*l, 0 = -3*r + l - 13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 228\/3 - (-806 + 813).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 16541 = -3*b, b + 3*z - 1397 - 4124 = 0. What are the prime factors of b?\nAnswer: 5, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86829 and 309?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*k - 35*k - 40*k = 52 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + (-99 - -125).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 20 - (16 - -2)) + -9 + 1 + 8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67516 - 34263. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 + (-2 + 0)\/1. Let r = b - -9. Factor 0*o**2 + r + 0*o - 1\/4*o**3 - 1\/4*o**4.\nAnswer: -o**3*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -2\/3, -2, -3994.6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29.4, -3\/2, 3, 1\/107 in ascending order.\nAnswer: -3\/2, 1\/107, 3, 29.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*i**2 + 70*i**2 - 1 - 2*i**4 - 6*i + (-3 - 4 + 5)*(3*i**4 + 3*i**4 + 0*i**4) to v + g*i**2 + b*i**3 + q*i + n*i**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/4)\/(-1)*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -57*(-280)\/29260*-88\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {v: 5, r: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 184855\/18 - 10274. Calculate the common denominator of x and 119\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(156) + sqrt(156)*1))\/(sqrt(1452)*2) + -2)**2.\nAnswer: -16*sqrt(13)\/11 + 692\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -2211120000000?\nAnswer: 2211112222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*i - 13*i + 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11881386?\nAnswer: 2, 3, 11, 23, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6101.01 microseconds to hours.\nAnswer: 0.000001694725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b331 (base 16) in base 4?\nAnswer: -1023030301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + 1*sqrt(3)*-1) + 2 - ((sqrt(735)*-2)\/sqrt(5) + (sqrt(3) - (0 + sqrt(3)))*1*1)**2.\nAnswer: -598 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**10)**(15\/2))**(7\/8) assuming d is positive.\nAnswer: d**(525\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c89 (base 15) to base 3.\nAnswer: 111010210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*r + 10*r - 4 - 2)*(-7*r + 2*r + r).\nAnswer: 8*r**2 + 24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -80f (base 16) to base 7\nAnswer: -6005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence add when three letters picked without replacement from {a: 2, d: 9}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -14.8. Let a = p - 3.8. What is the closest to 0 in a, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26333*x**2 - 131683*x**2 + 26341*x**2 + 26340*x**2 + 26333*x**2 + 26332*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -21. Let k(j) = -j**3 - 4*j**2 + 5*j + 3. Suppose 2*p + 1 + 24 = -5*a, -3*p - 9 = -2*a. Let c be k(p). Sort u, 0, c in descending order.\nAnswer: c, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 - 697\/935?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859726701?\nAnswer: 3, 59, 1619071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - l + 2. Let n be g(-3). Let i = 19 - 7. Let u = n + i. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15485 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -0.0591.\nAnswer: -4.0591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000044317176 rounded to 7 decimal places?\nAnswer: -0.0000443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -440 at least 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 898391407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1\/((-20)\/(-7705)) - (-1)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 194913 or 194912?\nAnswer: 194913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - b - 4 - b - 3*b + 2*b + (2 + 0 - 3)*(-63*b - 2*b + 315*b).\nAnswer: -253*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1175977 micrometers in centimeters?\nAnswer: 0.00001175977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 4712.\nAnswer: 4712.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 4 - 5)*(l + 0 - 1 - 2) as y*l + f and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4))**(8\/13)\/(q**(-1\/4))**(-37\/2) assuming q is positive.\nAnswer: q**(-465\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 2 - 5 + 3 - 3099*s.\nAnswer: -3099*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 10*w - 23. What is k(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(363) - (0 + sqrt(363)))*1*6 - (1 + (sqrt(363) - (-1 + sqrt(363))) - (3 + 1*sqrt(363)))*-2)**2*-6.\nAnswer: -8718 + 264*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/2))\/(p*p**6*p))**(-31)\/(p**4*p*p**(-2\/7)*p*(p**(-1\/3)\/p)**5) assuming p is positive.\nAnswer: p**(9805\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1178 - -1183. Solve 0 = -2*q - 10, 0 = -7*g + 6*g + i*q + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*k - 35, k + 57 = 3*f - 9. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 424672 - 424614. Suppose -3*n = 5*r - 133, -2 - 18 = -4*r. Calculate the remainder when x is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.254 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 5*p**2 + 2*p - 2. Let m(b) be the second derivative of -3*b**5\/20 - 7*b**4\/6 - b**3 + 5*b**2\/2 + 2*b. Let d(r) = -8*k(r) - 3*m(r). Give d(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 43338.\nAnswer: -43336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42796 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -6. Solve -5*i - 22 = -x + 5*x, x = -o*i - 13 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/4*12*11\/154?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 298727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4316380.\nAnswer: 2, 5, 107, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h**2 + 4*h**2 - 2 + 9*h**2 + (-2 + h + 2)*(-h - 3*h + h) - 14 + h**2 + 14 to k*h + l*h**2 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3560 from -2.3309.\nAnswer: 3557.6691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6959 = -4*w, -55*a + 53*a - 5223 = -3*w. Does 94 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 17*s = -16*s - 14, 0 = 3*t + 4*s + 21 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in months?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**6\/120 - g**5\/15 - g**4\/6 - g**3\/3 + g**2 - 1. Let h(i) be the second derivative of q(i). What is h(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2675 + 8037 - 98*r - 2673 - 2685.\nAnswer: -98*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-16)*t**(-3))**(-41) assuming t is positive.\nAnswer: t**779","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*i = 6, 5*s - 5 = 2*i - 7*i. Let j(l) = l**3 + l**2 + l + 8. Let f be j(0). Calculate the highest common factor of f and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*u + 590, -5*i + 3*u + 730 = -2*u. Suppose -10*d + i = -13. Calculate the highest common factor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**3\/3 - 7*t**2\/2 - 4*t - 1. Let g = -548 - -557. Calculate the smallest common multiple of g and y(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 390302878?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -916 or -402224\/439?\nAnswer: -402224\/439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 8*g + 19. Let l be m(0). Calculate the highest common factor of 133 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 3351.\nAnswer: 3351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264 and 9966.\nAnswer: 39864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49409 is divided by 143?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 462 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 6:40 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(35\/(-4))*5\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 1:38 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.18 + 203.18. Let w = 197 - n. Sort w, -2\/7, 0.\nAnswer: w, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-30)\/25*-2*(17 - 2) and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-4)*2\/3. Suppose -6 = -2*j + n - 0, 5*n = 2*j + p. Suppose z + 747 = j*q + 6*z, 354 = 2*q - 4*z. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-15) - 2889\/(-405). Let r(t) = 222*t - 19. Is r(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/60 and (-2072480)\/1908480 - (-1)\/(7\/8).\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.111, -2\/3, -131, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/777300 and -109\/590748.\nAnswer: 14768700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7128\/105)\/(-6) - 5. Let q = o + 83\/5. What is the second biggest value in q, -0.055, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-582)\/(-285) + 228\/760. Which is bigger: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3135953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 46\/6 + (-3)\/(-9). Solve 0 = -2*l + 4 - b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*a + 3, -3*a - a + 4 = -2*r. Suppose -5*n + 6*n = r. Suppose n = -0*b - 2*b + 422. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 6. Let n(c) = c**2 - 10*c - 1. Let w be n(m). Let i be w - 0 - -2 - -2. Calculate the greatest common divisor of 24 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**5\/30 - 1070*n**2. Let g(h) = -7 - 5 - 28 - 2*h. Determine g(u(c)).\nAnswer: -4*c**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/140532 and 34\/175665.\nAnswer: 702660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2\/7, -0.2, 57, 1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*a - 6. Suppose 4*i - 71 = -o, -a*o + 170 = 3*i - 88. Suppose -3*m + 35 = 2*m. What is the greatest common factor of m and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 2\/21*r**3 + 1\/42*r**4 + 1\/7*r**2 + 0 + 9*r. Let p(f) = 0. Calculate f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3014, 12375, 27950, 49739, 77742, 111959?\nAnswer: 152390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -a + 4*k + 31, -2*a = -2*k - 18. Let b be 34\/10 - (-12)\/(-30). Suppose p = -0*q + b*q - 16, 3*q + 3*p = 0. Is a < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2088 + -2065. What is the remainder when (-905)\/(-20) + 1\/(-4) is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let i(t) = t + 1. Let r(p) = -2 - 4*p + 2*p - 4*p - 2*p. Let s(w) = 2*i(w) + r(w). Give o(s(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -17*o - 32. What is the units digit of a(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = w - 2*u + 5, -2*u = -8. Suppose 0 = -w*a + 3*y + 12, 2*a + 2*y + 2 = a. Suppose 10 = 3*c + a*c. Solve -18 = 3*k - 2*x - c, 0 = 3*x - 15 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -1. Let m = -9 - -9. Let h = 5 + m. Which is the nearest to 1? (a) 0.2 (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 + 2*a**3 + a**3)*(a + 0*a - 4*a) - 3*a**4 + a**2 + 10*a**3 - 10*a**3 - 2*a**4 - 10*a**2 + 10*a**2.\nAnswer: -20*a**4 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 45. Suppose -x - 3 = 4*a, 0*x + 5*a + 6 = -x. Solve -x = -n*d + 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -61 (c) 2\/7 (d) -2\/15 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11749 - -19734. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 - 41?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is c09a4 (base 14) in base 16?\nAnswer: 71034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 371763?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from itiwjtiticiiciiyyic. Give prob of sequence jyc.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -1. Let q(o) = -o. Let y(l) = q(l) - u(l). What is the units digit of y(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3205828\/45 - 356202\/5. Let c = 4 + -2. Factor -2\/9*w**c + s*w + 2\/9*w**4 - 2\/9*w**3 + 0.\nAnswer: 2*w*(w - 1)**2*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**3)**(1\/6)*(d\/d**(-2\/23))\/(d*d\/(d\/((d\/(d**(2\/11)*d))\/d))))**(-1) assuming d is positive.\nAnswer: d**(-895\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 12, -12, 1.2 in increasing order.\nAnswer: -12, 0.1, 1.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323*f + 326*f - 63 = 0. Let n = 2 + 1. Suppose -n*g + 367 = -326. Calculate the highest common divisor of g and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aae when three letters picked without replacement from {a: 4, c: 2, p: 1, e: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 34 = -582. List the prime factors of q.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 8 = 2*s, -142*s + 141*s = -3*g + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 7*o**2 - 8*o + 12. Let k be q(-8). Let y be ((-5)\/((-5)\/k))\/(8\/(-20)). Find the common denominator of (-40)\/y*133\/24 and -63\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 3470*a**2 + 44796*a - 41328.\nAnswer: 2*(a - 1722)*(a - 12)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 330\/(-70) - (-180)\/(-140)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 581 + 319. Suppose -12 = -4*z, t = p - 2*z + 34. Let w = -62 + p. Solve 3 = -w*s - s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 4\/3 (b) -1185 (c) -3.82 (d) -5 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-4)*206\/9064?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 35.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*c + 8*c - 5*k + 210, 0 = -5*c + k - 73 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22562 + -3?\nAnswer: 22557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 15*x**2 + x - 12. Let m be (12\/8 - -1)*6. Let v be q(m). Suppose -65*u + 14*u = 0. Solve 2*h - 5*d = 24, -2*h = -u*h - v*d - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/13 + 100*w\/13 - 450\/13.\nAnswer: -2*(w - 45)*(w - 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 12. Suppose 0*m = m - 5*u - 17, 0 = -3*m + 3*u - 9. Let s be n(m). Find the second derivative of 0*t + t - 2*t - 6*t**s - 3*t wrt t.\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4520 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -269 + 297. Solve -4*y - a = -5*p, -2*p = -4*y + 2*y - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-5\/3)*z**(1\/3))\/(((z**(-3)\/z)\/z)\/z**4))**(-31) assuming z is positive.\nAnswer: z**(-372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3989, 7969, 11933, 15875, 19789?\nAnswer: 23669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -262899911 and -0.014?\nAnswer: 262899910.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10349, -20879, -31407, -41933?\nAnswer: -52457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6*v = -4*y + 81, 0 = -3*y + 3*v + 45. Suppose -21 = -u + 37. What is the smallest common multiple of u and y?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22006\/(-136) - 1 - (-22)\/(-88). Let t = b + 163. Is 1 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6245, -5958, -5671, -5384, -5097, -4810?\nAnswer: -4523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 387744 and 115584?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - (6 - (1 - -13)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 293543 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12112.7 - 12112. Which is the closest to -0.1? (a) l (b) 2\/15 (c) -279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j - 29. Suppose -4*i - 6*n = -4*n + 248, 5*i + 310 = -3*n. Let t = 119 + i. What is the remainder when t is divided by s(-11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-97 - 15*t**2 + 97)*(13 - 3 + 1) in the form p*t + l + r*t**2 and give r.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Suppose -111 = -19*i + 60. What is the remainder when i is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220.3 times 0.1\nAnswer: 22.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 873\/2 - 437. Which is the closest to 40? (a) -1.1 (b) 5 (c) -2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 + 15*m**2 + 3*m + 4. Let i be j(8). Let k be i\/(-12) - -1*1. Differentiate -f**2 + 9 - k + 7*f**2 - 7*f**2 wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-84)\/(-133)) - -6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d**3 - 163*d**2 + 792*d + 963. Let q(m) = 20*m**3 - 408*m**2 + 1980*m + 2408. Let z(t) = -12*c(t) + 5*q(t). Find n, given that z(n) = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/32*(-80)\/(-15). Differentiate 37 - c + 57 + 43 - 17*f**2 with respect to f.\nAnswer: -34*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 5, e: 13}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u + 2. Let k(q) = 31*q + 11. Let t(a) = -16*a - 5. Let n(c) = -4*k(c) - 7*t(c). Calculate -2*n(o) - 9*s(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105 or -101?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12086982 is divided by 364?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10*t - 14592 = 0. Let o = -809 - t. What are the prime factors of o?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -325329, -325339, -325361, -325401, -325465?\n\"Answer: -f**3 - 3*f - 325325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 3, p: 1, v: 3, m: 1, d: 2}. What is prob of picking 1 d and 1 p?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 107*d**2 + 16*d - 2. Let b be q(3). Suppose -116 = -5*a + b. Is 45 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*y + 3381, 5*t = -3*y + 18 + 2003. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (301\/(-91)*-1)\/(78\/1014).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 - 1005 - 4*o + 4*o + 1005.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-16 - (-33 - -16))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2\/11))\/p**(-7))**(-2\/27) assuming p is positive.\nAnswer: p**(-20\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43610601 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/19 in 2\/95, 141, 5?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1\/21, 0.02?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1008390410 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169.5606 months to years.\nAnswer: 14.13005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Let o be (-1)\/2 - (-35)\/(-10). Let n be o\/18 + 44\/36. Solve -3*t - m + n - 2 = 0, b = -3*t + 3*m - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 189 + -106. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -2\/9, 218\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.042 * 3.31512\nAnswer: 0.13923504","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 169666 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310 (base 13) to base 4.\nAnswer: -20020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (6*((sqrt(175) + (sqrt(175)*1 + sqrt(175))*-5 - (-3 + sqrt(175)*-1 + sqrt(175) + sqrt(175))) + -4) + 4)**2).\nAnswer: 4800*sqrt(7) + 2520028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 1. Let s(i) = 3*i**2 - 3*i + 1. Let h(r) = 4*k(r) + s(r). Calculate the lowest common multiple of h(-4) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*c + 16*c + 300 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/29))**50*n\/(n\/n**(2\/101))*n\/(n*n**23) assuming n is positive.\nAnswer: n**(-72359\/2929)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6\/161 (b) 4\/3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/160 - (-740)\/944.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876387?\nAnswer: 3, 61, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 m, and 2 o when four letters picked without replacement from ioomfmfffffiffo.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/1422866?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 21 - 56 = 0. Let b(n) = n - 3. Let m be b(l). Let g(p) = -70*p**2 - 4*p - 4. Let h be g(m). What is h rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, t: 3}. What is prob of sequence rt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*b = 7*b - 296 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n\/(n\/((n*n**(-1))\/n))*n)\/n))**(-18\/13))**(-36) assuming n is positive.\nAnswer: n**(1944\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**8\/28 + 8*a**7\/21 - 3*a**6\/10 - 14*a**5\/15 - 48*a**2 + 2*a. What is d in k(d) = 0?\nAnswer: -7, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4}. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101*c**5 + 608*c?\nAnswer: 2020*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95894897 to the power of 1\/3, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89094 or -89175?\nAnswer: -89094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33824 = 5*y - 2*o, -10*y + 9*y + 6781 = 5*o. What is the thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55959466 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 78107079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 10*w**3 - 6 + 13 - 8. Let c be p(1). Suppose 0*g - c = -g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/354 and 73\/20?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-12)*3)\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -780, -894, -562, 222, 1464, 3170?\nAnswer: 5346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**5\/20 + 212*f**2 + 2*f. Let c(i) = -19*i + 3. Let u(g) = 56*g - 8. Let y(j) = -8*c(j) - 3*u(j). What is n(y(k))?\nAnswer: 768*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*l = 100, l + 3*l = -5*g + 90. Suppose g*t = 28*t - 54. Calculate the remainder when 97 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + 0*x**3 + 0*x**3 + (3*x**2 - 2*x**2 - 2*x**2)*(x - 4*x + x) + 4 - 4 - 3*x**3 + (-3 - 4 + 5)*(-x**2 + x**2 - 2*x**3).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-70)\/(-4)*(6 + 272\/10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by -7 - -7 - (2 + -18).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4655 or 4656?\nAnswer: 4655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30223840?\nAnswer: 2, 5, 23, 43, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10286764 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 10*q**2 - 9*q. Calculate w(-11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18296.3 - -17379. Let y = 861.59 + a. Let p = -55 - y. What is p rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (-18 - -14) - (-25 + 7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8534 - 0.4571.\nAnswer: -8534.4571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*t + 6. Suppose 125 = 5*j + t*r, 0 = 2*j + r - 2*r - 65. What is the remainder when j is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1326 + 2*q - 191*q**2 - 1326 + q to the form u + i*q + a*q**2 and give a.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.24 (b) 2 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**2 + 138*f + 134. Let h be w(-22). Factor 6\/11 - 4\/11*t - 2\/11*t**h.\nAnswer: -2*(t - 1)*(t + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -171, -169, -167, -165, -163?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.92 to the nearest integer.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -6, -7, 2\/7, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 7*n**2 + 16*n + 114. Let q be t(-7). Solve -7 = 4*f + 1, -10 = 3*y + q*f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x + 3. Let m be (50\/20)\/(25\/430). Suppose m*s - 67*s = -24. Give r(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1409712 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 393536 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -45.1472. Let p = -0.0572 - k. Which is the fourth biggest value? (a) -1 (b) -2\/5 (c) -8 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-24) + (-25)\/4. Let r be (4 + -5)*v\/2. Sort r, 5, 1\/5 in descending order.\nAnswer: 5, r, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -157 or -160?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -253 in -8\/15, -3, -1, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -3*q - t, -5*q + 68 + 69 = 2*t - 22 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22192, 23427, 24662, 25897, 27132?\n\"Answer: 1235*v + 20957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2844823 is divided by 2123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 18*i + 186. Determine q(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in 2, -2\/25, -1\/6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**3 + 20*v**2 - 9*v - 18. Let w(a) = -2*a**3 - 7*a**2 + 3*a + 6. Calculate -4*u(c) - 11*w(c).\nAnswer: -2*c**3 - 3*c**2 + 3*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4278 and 2806.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 divided by 215?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3fa + -4?\nAnswer: 3f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2304?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-3)\/2*4\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5757 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -1. Suppose 0 = -m*o + 6*o - 10. What are the prime factors of 40\/(-12)*(-6)\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -7*y**4\/2 - 13*y**3\/3 - 26*y. Find the second derivative of j(m) wrt m.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43978, -87944, -131908, -175870?\n\"Answer: u**2 - 43969*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 90 = -8*d. Calculate the least common multiple of 48 and d.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 19*z - 58. Let f be s(15). Suppose -3*u = 3*c - 1278, -858 = -f*c - 0*u - 4*u. What are the prime factors of c?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**19)**(-45) assuming t is positive.\nAnswer: t**(-855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(5100) - -4*-2*sqrt(5100)) + sqrt(5100)))\/((sqrt(3) - -4*(sqrt(27) + sqrt(3))) + sqrt(27) + sqrt(675)).\nAnswer: 24*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(468) + -2) - sqrt(13))**2 + (sqrt(13) + 1 + sqrt(13))**2 + 2)*3.\nAnswer: -60*sqrt(13) + 1581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/580)\/((-184)\/460)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 44942*w**2 + 22*w + 20. Let p be v(-10). Round p to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17935, -72138, -162487, -288982, -451623?\n\"Answer: -18073*j**2 + 16*j + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4154 and 4084.\nAnswer: 8482468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/12)\/((30\/(-9))\/(-1))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 10) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (42 + -21 - 11).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-84) - ((-570)\/(-105) + -10 + 1)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q**2 - 4*q + 4. Let z = -41 - -27. Let j = z - -18. Let b be m(j). Calculate the greatest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12044, -12034, -12024, -12014?\nAnswer: -12004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 906882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/9 - 262*b\/9.\nAnswer: -2*b*(b + 131)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8130836 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 112 = r. Let q = r + -144. Let k be (-4)\/(-22) - (-126)\/q. Which is the third smallest value? (a) k (b) -2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -921 + 916. Let j(x) = x**2 + 10*x + 62. What is the remainder when j(c) is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltbbbltntltlblttb. Give prob of sequence bl.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, q: 6, t: 3}. What is prob of sequence tyyy?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 6:12 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8857251?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 5\/4, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**3*o**3 - 23*j**3*o**2 + 5*j**3*o + 2*j**2*o**2 + 16*j*o - 139140*o**4 + 1 wrt o.\nAnswer: -6*j**3 - 3339360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 - 30*x + 59. Let y be o(2). Suppose u - 3*t = 9, -4*u - 4*t = 12 + 16. Let j = y + u. What is the highest common factor of 48 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37540 (base 9) to base 3\nAnswer: -1021121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 2870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w = -13*w + 129*w - 1330 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-24)*o)\/o*o**(4\/9))\/(((o\/(o**(-23)\/o*o))\/o)\/o*o**24) assuming o is positive.\nAnswer: o**(-626\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4840 - 4839.89. Which is the nearest to z? (a) -0.5 (b) 5 (c) 0.1 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 2*i - 3. Let b(g) = -2*g**2 - 2*g + 3. Let q(c) = -4*b(c) - 3*v(c). Let u be q(0). What is the closest to -4 in u, 0, -1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 12*n - 10. Let w be s(13). Let i = w + -17. Let j(r) = -r**3 - 15*r**2 - 21*r - 15. Is j(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58483777 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-26)\/j**3*j*j**(-1\/16)\/j*j**10 assuming j is positive.\nAnswer: j**(-305\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4094944 by -2047472.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*-1*sqrt(1573) + 4)*2.\nAnswer: -110*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6647\/3537 - 7\/786. Calculate the common denominator of m and -131\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 34*z. Let n(q) be the second derivative of -q**3\/6 - 10*q. Let y(b) = -3*b. Let h(w) = 4*n(w) - y(w). Determine l(h(c)).\nAnswer: -34*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 0.397?\nAnswer: -1.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*q = 2, 3*l + 2*q + 12 = 17. Sort l, 0, -73 in increasing order.\nAnswer: -73, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 264 = 216. Let n = 686 - 774. Let y = n + r. Calculate the lowest common multiple of 18 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 4*v + 2*v)*(v + 0*v + 0*v + (-1 - 1 + 0)*(5*v - 3*v - v) - 3*v + 3*v - 2*v - 5*v + 0*v + v).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*d + 91*d + 140 = 0 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 10*j**2 + 14*j + 69. Calculate p(-7).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 - -55.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**5 - 2388*f**4 + 34296*f**3 + 48568*f**2 - 190452*f + 109980 = 0.\nAnswer: -611, -3, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 2 - (-1 + 3) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.968 + -0.032. Suppose 6*f + 12 = 2*f. Sort w, f, 0.1.\nAnswer: f, w, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 12 = 4*f - 0*k, 0 = 5*k. Let h(t) = -5*t + 4*t - f*t. Let i(g) = 2*g - g + 0*g. What is h(i(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m - 2. Let g be k(-3). Suppose -d + 4*d - 144 = 0. What is the greatest common divisor of g and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 202092 and 19903.\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -589*w. Let b(l) = -6*l. Give v(b(j)).\nAnswer: 3534*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**5\/60 - n**3 + 4*n. Let b(c) be the second derivative of d(c). Let h(j) = j. Calculate b(h(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/6 (b) 5 (c) 60 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 9 = -21. Let s be -1 + -5 + 4 + (-2 - z). Let j(c) = 69 - c**s - 69. Let t(o) = 3*o**2. Give t(j(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2529372*s**3 + 2843598*s**2 wrt s?\nAnswer: -15176232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 15*k = 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2. Let l(v) = v**2 + 2*v - 3. Let s(o) = -a(o) + l(o). Suppose -5*p + 5 + 5 = 0. Suppose 0 = -p*t - 3 + 7. Calculate s(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3440860\/3 or 1146953?\nAnswer: 3440860\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 a factor of 292588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 35*k**2 - 493*k + 44. Give z(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2. Let z(g) = -g**2 - 2*g. Suppose 4*q - 8 = -0. Suppose -q*y - 2 = 16. Let f(i) = 5*i**2 + 9*i. Let m(n) = y*z(n) - 2*f(n). What is m(x(c))?\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*t + 9 = -4*a, -t = 3*a + 4. Let x(u) = -7*u + 2. What are the prime factors of x(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - q + 2. Let r(z) = z**2 - 9*z + 6. Let c be r(8). Let k be 3\/c*(13 - 15). What are the prime factors of l(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*g = g, 0 = g. Suppose u*r + 10 = 5*r. What is the derivative of r*m - 9*m - 4*m + 2*m - 5 wrt m?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 9. Let l = j - 3. Let f(m) = -m**2 - m**2 - m**3 - 4*m - 3 - l*m**2 + m**2. Calculate f(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 10*i**2 + 3153*i + 83803. Determine q(-286).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56140\/(-1330)*(-4)\/(-48)*-2 - 7\/1.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 + z - z)*(28*z - 22*z - 17*z) - 23*z**2 + 23*z**2 + 3*z**5.\nAnswer: 14*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*a + 18 = 0, 0 = -b - a - 0*a + 8. Suppose 360 = 2*i + b*i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 12:49 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.132 - -0.132. Let d be (-2)\/(-6) - (-93)\/(-333). Which is the second smallest value? (a) 0.2 (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26880 divided by 70\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/15)\/z*z*z*z*z*z**0\/z*z)\/(z**(2\/7))**9 assuming z is positive.\nAnswer: z**(31\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 4 + (1 - 1). Suppose 1 - 6 = -3*t + u, 0 = -x*u + 5. Let d = 12 - t. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**5\/5 + 2*d**4\/5 - 4803*d**3\/5 - 18532*d**2 - 90860*d = 0?\nAnswer: -59, -10, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.85 - -3.19. Let o = c - 1.3407. Round o to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Suppose 152 = 4*o - 4*a, -l*o - 3*a + 90 = -11. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, w: 10, g: 1, i: 5}. Give prob of sequence ini.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.3643 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2\/5 + 1633698984*l\/5 + 333621546290329032\/5 = 0.\nAnswer: -408424746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3062259281?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -8) + (-4 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 897623143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6 - 98 = 3*i, 5*q + 3*i + 112 = 0. Let m(g) = -3*g + 11. What are the prime factors of m(q)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 3:55 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2340293*u - 2340293*u + 8*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 570601451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 172*u + 1 + 3 - 83*u in the form w*u + r and give w.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 66*o**2 - 2*o - 1. Suppose -2*h = 3*h + 3*f - 62, 32 = 4*h - 2*f. Let g = h - 11. Is z(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 8*n + 22. Let w be p(10). Suppose 0 = -w*f - 4*f + 54. What is the highest common divisor of 243 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1622 + -5?\nAnswer: 1618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3 - 6*m + 1347*m**2 - 466*m**2 - 441*m**2 - 441*m**2. Determine j(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.684 - 1.316. Put n, -3, 0.2 in decreasing order.\nAnswer: 0.2, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 80 = -104. Suppose 4*z - t - 14 = 0, 2 + 4 = z + t. Suppose z*y - l = -0*y. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**2. Let q(p) = 68*p - 3. Let a(f) = 59*f - 2. Let l(n) = 4*a(n) - 3*q(n). Determine s(l(t)).\nAnswer: 4096*t**2 + 256*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*x + x. What is the remainder when 126\/3 + (x - -1) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*n**3 - 8*n**3 + 1 + n**3 - n**2 - 58*n**4 - n**3 - n in the form k + v*n**3 + b*n + q*n**4 + i*n**2 and give q.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 190 = 4*d, -4*m + 146 = -0*d - 2*d. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125411771 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -52408\nAnswer: 1\/13102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - s + 2164 = -a, -2*a + 4*s = -1082. Let y = -210 + a. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 2*g**2 - 4*g + 1. Let m(n) = -2*n + 14 + 8 - 7 + 6. Let f be m(3). Suppose -5*d + f = -0. Determine s(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4395 (b) -171 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**10\/y)\/(y\/y**(-5\/7)))\/(y\/(y\/(y\/y**(-13)))*y*y*y**11*y) assuming y is positive.\nAnswer: y**(-145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 18*p**2. Let s be n(-1). Suppose 0 = -4*c + 5*j + 14 - 39, c + 7 = 2*j. Let i = s - c. What is the highest common factor of i and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202940 rounded to the nearest 1000?\nAnswer: -203000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 18*k + 8*k - 3*k**2 + 2 + 4*k**2 - 8 - 27*k**2. Let r(s) be the second derivative of 5*s**4\/12 - 5*s**3\/6 + s**2\/2 + s. What is -16*r(a) - 3*z(a)?\nAnswer: -2*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 55*d**5 + 350*d**4 - 4115*d**3 + 8030*d**2 - 2240*d - 2080 = 0. What is d?\nAnswer: -13, -4\/11, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:30 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1424 - -1423.9417. What is n rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/10, 5, 3, -268?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3*(2 + 3\/(-3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0527553 to 3 decimal places.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 144*o - 2448. Determine l(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 265 = 5*r - 0*r, 270 = -5*r - 5*f. Suppose 4*w = 13*w - 936. Let a = w + r. What is the highest common divisor of a and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55187986 to the power of 1\/2, to the nearest integer?\nAnswer: 7429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 961*b + 31*b**2 + 1\/3*b**3 - 157. Factor k(w).\nAnswer: (w + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179487721 to the power of 1\/3, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*g + 342016 = 336136 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shpshspshsphphpsspsp. Give prob of sequence hp.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4862, -4864, -4868, -4874?\nAnswer: -4882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 - 24. Calculate the remainder when m is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m**3 + 4*m**2 + 6*m - 6. Let k(n) = 14*n**3 - 8*n**2 - 11*n + 11. What is -6*k(b) - 11*w(b)?\nAnswer: -7*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**5\/20 - x**4\/2 - x**3 - 2*x**2 + 2*x. Determine z(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23604 = 5*f + x, 0*f + 2*x = -4*f + 18882. Let i = f + -47149\/10. Calculate the common denominator of ((-2)\/(-6))\/((-8)\/(-188)) and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2923 times -35?\nAnswer: -102305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + r = -35994, 67*u - 71*u + 4*r = -48016. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**(-1)))**47*((g*g**0)\/g)\/(g\/(g**2\/g)))**(6\/7))**(2\/7) assuming g is positive.\nAnswer: g**(-564\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5436141 to the nearest integer?\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 3 - 4*c - 6*c**2 + 4*c**2. Let k be b(-3). Suppose k*h - h = 480. Is 32 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 64923, 64914, 64899, 64878, 64851, 64818, 64779?\n\"Answer: -3*p**2 + 64926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 602434.677 less than -0.324?\nAnswer: -602435.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 4) + (14 - 4) + -4 + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**4\/12 - w**3\/6 + 311*w**2 + 3. Let l(i) = -2*i. Give -2*l(k) - 3*y(k).\nAnswer: -2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/((-36)\/42 - 2\/14). Suppose -17*u + 120 = -y*u. Calculate the greatest common divisor of u and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y + 2. Let v be x(4). Let i = 2 + v. Let c(u) = u**2 + 5*u. What are the prime factors of c(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1642124189\/36 + -45622878. Let v = t + 8315. Find the common denominator of -50\/21 and v.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-57)\/210 + (9 - 59\/7). Let z(v) be the second derivative of 0 - 5*v + f*v**5 - v**4 + 0*v**2 + 0*v**3. What is the third derivative of z(y) wrt y?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 3. Which is the third biggest value? (a) 4 (b) -1\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1213 * 3.171.\nAnswer: 3846.423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1298, -2350, -3412, -4490, -5590?\n\"Answer: -b**3 + b**2 - 1048*b - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243281?\nAnswer: 3, 13, 71, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000323778009 to seven dps.\nAnswer: -0.0003238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-165)\/6)\/(-11) + (-2)\/(-4). Find the third derivative of 2787*q**k - 13*q**5 + q**4 - 2789*q**3 - q**4 + 20*q**2 wrt q.\nAnswer: -780*q**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 62 = 48*p. Let d = -43.2 + 43. What is the third biggest value in -4\/3, d, p?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69483599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**4\/24 + j**3\/6 + j**2. What is the units digit of w(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -0.2, 0.09, -4634, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 3184758824.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 171, 402, 703, 1080, 1539, 2086, 2727?\n\"Answer: h**3 + 29*h**2 + 137*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frr when three letters picked without replacement from {f: 1, r: 3, t: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -10 - -23) + (64 - 82).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 785*p**2 - 115*p**2 - 392*p**2 in the form q*p + l*p**2 + v and give l.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18784 + 18780. Let a = 2.92 - 3. What is the second biggest value in 0.4, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*h - 218, 2 = h - 2. Is -210 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-35)\/(-14)*(11\/(-385) + 0).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 27 * 2615\nAnswer: 70605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*g**3*j**2*l - 9*g**3*j**2 + 251*g**3 - 37130*g**2*j**2*l + 7*g**2*j**2 with respect to l.\nAnswer: 25*g**3*j**2 - 37130*g**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*m + 15, -15 = -m + 5*u + 3. Suppose y + 5*w = 0, 32 = -y - 0*y + m*w. Let s = y + 104\/5. Is s less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - l - 9*l)*(45 - 28 - 22 + l).\nAnswer: -9*l**2 + 45*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2 - -4) - (11 - 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6124\/5 + 6127\/5. What is the closest to 4\/5 in -3, 40, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 18, 60, 118?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5312299933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30 + -1c?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(3900))\/(sqrt(243) - (1*sqrt(243) + sqrt(243) - sqrt(243))*4).\nAnswer: 10*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434606112?\nAnswer: 2, 3, 31, 48679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*r - 24 = 0, -5*k = 2*r - r - 27. Suppose 5*l + 3*c = k + 9, 0 = -2*c. Let m(p) = 5*p**3 - 8 + 14 - 4*p**l + p**2. Give m(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 35. Let u be (-102)\/g - (-8)\/(-28). Let s(w) = -w**2 + 4*w + 8. Let b be s(5). Solve -5*j + 8*y = 4*y - 3, -b*y = j + u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*t = -45, -4*g - 3*t + 75 = 2*t. Let i be ((-308)\/(-6))\/(10\/g). Suppose 4*q - i = -a, 3*q + 14 = 4*q + 2*a. Solve 3*w - q = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whhhhwhwwhhw. Give prob of sequence hhh.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - (-9)\/15. Let f be ((-288)\/30)\/(6\/(-4)) + -6. What is the closest to l in f, -0.4, 2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 151*o**4\/4 - 5*o**3\/6 + 99*o**2 + 2*o - 2927. What is the derivative of j(v) wrt v?\nAnswer: 906*v - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 14*r. Let y(t) = 5377*t + 931. Let p(m) = -163*m - 28. Let n(g) = 133*p(g) + 4*y(g). Calculate w(n(i)).\nAnswer: -2394*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5 + 11*p**4 + 46*p**3 + 92*p**2 + 88*p + 32 = 0 for p.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhhhhqqqhq. Give prob of picking 2 h and 1 q.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*s = -1006, 5*s - 790 = -4*z - 0*z. Calculate the greatest common divisor of z and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1\/6 (b) 1479 (c) 0.2 (d) -2\/7 (e) -1.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -0.58\nAnswer: 7.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.1 (b) -0.3 (c) 49\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -23*b**3 - b**2 - 11*b + 19. Let v(n) = 48*n**3 + 2*n**2 + 21*n - 35. What is -11*a(h) - 6*v(h)?\nAnswer: -35*h**3 - h**2 - 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**10*q*q*q)**(7\/5)\/((q\/q**(2\/41))\/q)**(-1\/52) assuming q is positive.\nAnswer: q**(97001\/5330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 times -1.04836?\nAnswer: -51.36964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkqqfqkkqkaxqqq. What is prob of picking 1 k, 1 q, and 1 x?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 154*w**2 + w**4 - 155*w**2 + 463*w**2 + 3 - 153*w**2 + 7*w - 3*w**3 in the form d*w**2 + z*w + f + o*w**4 + m*w**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(9 + 92\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9efb3 - -1?\nAnswer: -9efb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44487 in 4, 6, 0, 2\/11, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 569 and 631021.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 43*o**2 - 5*o + 6. Let p be k(1). Suppose -24*h + p = -28. Solve 10 = h*t + 2*q + 3, -4*q = 2*t - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 426386 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*x - 4*a - 10, 3*x = a + 10. Solve 0 = -l + x*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0.0795\nAnswer: -2.9205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*z - 540 = 3975 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -20. What is the lowest common multiple of 10 and i*(-3)\/(-6)*2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*f + 8, -2 = k + f - 1. Let g be -5*(0 - k)\/2. Let l(q) = -27*q + q**2 + g*q**2 + 27*q. Let h(v) = -v. Determine l(h(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0663 and -0.4.\nAnswer: -0.02652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18835 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 4397743?\nAnswer: -2\/4397743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/10)*i*i*i*i**(2\/19)*i)**(4\/7)*(i**0)**(11\/5)*(i*i\/i**(5\/2))\/(i*i**(-2\/3)\/i) assuming i is positive.\nAnswer: i**(12533\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 12 - 2 = 0. Let x(c) be the first derivative of 8*c**3\/3 + 3*c**2\/2 - 23. Let r be x(t). Solve -21 = 3*h + 3*f, -3*h + 5*h + 5*f + r = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9900.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - b**2 - 4*b**2 + 4*b**2 + 5*b**2.\nAnswer: 4*b**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101022221 - -1122200?\nAnswer: 102222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12503.\nAnswer: 12503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1015*n - 328*n - 341*n - 2*n**3 - 346*n + n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 9*a**3 - 81\/5*a**2 - 3\/5*a**4 + 0 + 39\/5*a = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12912547\/689 + 18741. Let x = 683\/2067 + z. What is the nearest to 1\/2 in 3, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 1080*u**3 + 8636*u**2 - 32*u = 0.\nAnswer: -8, 0, 1\/270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -d0?\nAnswer: cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - n - 43180 = 0, 7*n + 16 = 3*n. Suppose -s = -4*z - 3*c + 9059, 5*c - 5 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*s**4 + 56*s - 838 wrt s.\nAnswer: 12*s**3 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**2 + 4*t - 3. What is g(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from {v: 6, h: 1, k: 5, x: 7}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*b - 3*u, -3*u - 11 = -3*b + 1. Suppose 5*i - 3 - b = 4*c, 2 = 2*i + 4*c. Solve k - i = 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/188 and -97\/282.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93.857551 - -0.857469. Let o = -93 - s. What is o rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*l - 2)*(5 - 1 - 2) - 18 - 26 + 9 - l to the form z + g*l and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 2*v**2 - v. Let b(l) = 6*l**3 + 7*l**2 + 86*l. Let n(p) = -b(p) - 5*y(p). Let h(m) be the second derivative of n(m). Determine h(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60980 divided by 41.\nAnswer: -60980\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -4, 9, -5, 1.\nAnswer: -5, -4, 1, 9, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 17. Suppose n*t + 0*t - 24 = 0. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 3*v - 4. Let d be g(4). Suppose 5*q = -3*l - d*l, 0 = -3*q - l. Which is the closest to -1? (a) 1\/3 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -t**4 + 2232*t**3 - 2*t + 266.\nAnswer: -4*t**3 + 6696*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15452 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 4:43 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**4 - 225*j**3 + 250*j**2 + 900*j - 920 = 0. Calculate j.\nAnswer: -46, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 563?\nAnswer: 2\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4\/23, 2\/7, 0.4, 3?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 3*a + 7. Let g be p(-8). Suppose 0 = -4*j + 16, 5*n - 36 = n - 2*j. Suppose 2*c = n*c - g. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -5, -1591, 1908.\nAnswer: -1591, -5, 1\/6, 1908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 815*i + 17081. Determine m(-21).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (168 - 15) + (-3 - 3). What is the second derivative of -167*x**4 - 22*x + h*x**4 + 85*x wrt x?\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.440032 rounded to two dps?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 4*l**2 + 2*l + 12. Let j be h(-4). Suppose j*b = 2*b + 118. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, k: 1, o: 1, f: 2, j: 2}. Give prob of sequence kki.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.936949425 rounded to 1 dp?\nAnswer: 33.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/(-66) - 2)*243\/324?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/57 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-56)\/(-240)*9\/3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13397 is divided by 209?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - sqrt(1452)*1)\/sqrt(6).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 6. Suppose 3 = 2*v + 2*i + i, -2*v = -4*i - 10. Suppose 5*j + 6 = v*j. Calculate x(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25.02 + -0.02. Let x = 48 - j. Let r = x + -22.99937. Round r to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 2*i + 4 - 2 = 0, -i = 3*b + 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 3010032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 0*c - 2*b - 12, 5*b = 25. Suppose -c = 4*z - 27. Sort z, -1, -3.\nAnswer: -3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -34. Suppose -4*t + 3*t = 3*s - k, -4*t - 26 = -3*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8622.529 meters to centimeters.\nAnswer: 862252.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 1. Let d be u(-1). Let y be (0 + -1)\/(d\/(-10)). Let v(n) = -4*n**3 - 5 - 665*n**2 - 7*n + 5*n**3 + 669*n**2. Determine v(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 - -115. Let q = -8 + 17. Calculate the remainder when y is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -19 - 66 - -29?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 194, 184?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 4*f**2 - f - 2. Let z(v) = -v**3 + 4*v**2 - 6. Let r be z(4). Let o be g(r). Suppose -7*a = -3*a - o. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 22) + -6 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -313*r**4 - 4*r**3 - 15*r - 24. Let p(u) = -u**4 - u**3 - 3*u - 1. Let k(h) = d(h) - 4*p(h). Find the second derivative of k(s) wrt s.\nAnswer: -3708*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -18. Suppose 0*a - 2*a + 2*k = 4, 0 = -3*a - l*k + 29. What is the highest common divisor of a and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10662)\/(-150) - (-15)\/45*(-12)\/50. Solve h = v + 63 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 6*l + 5*g + 29, 0 = -2*l + 4*g + 22. Let w(o) = 3*o**2 - 2*o - 1. Let j(m) = m**2 - m + 1. What is l*w(r) - j(r)?\nAnswer: 2*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -2*k - 38. Suppose 6*y + k = y. Let w = y + 13. Solve 0*q = -w*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5)*s)**(-24)\/(s**(-1))**(-1))**36 assuming s is positive.\nAnswer: s**(-6228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 5:12 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1636 divided by 57?\nAnswer: -1636\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122482 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/((-168)\/(-6552))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 3*q + 3*r, 12*r = 5*q + 11*r - 316. What is the second derivative of 4*j**4 + 63*j**2 + 136*j - q*j**2 + 149*j**4 wrt j?\nAnswer: 1836*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.25 + 16.25. What is the fourth biggest value in 0.07, n, -0.4, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18 + (4 - 20) - -10*11. Suppose -6*k + 32 = -4*k. Calculate the highest common divisor of v and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4433)\/(-1023) - 5\/1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 10\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 158532 greater than 158626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20021210102102 (base 3) to base 14.\nAnswer: -62dd36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/s**(-1)))**23*(s**(1\/37))**(-4\/5) assuming s is positive.\nAnswer: s**(-4\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*g - 115*c + 113*c, -5*c = 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h + 8*h - 3*h + 14*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 z when three letters picked without replacement from {h: 2, r: 1, z: 2, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26902, 53799, 80690, 107575, 134454, 161327?\n\"Answer: -3*s**2 + 26906*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 0 - 32\/3*v**4 + 11*v + 10\/21*v**7 + 38\/5*v**5 - 4*v**2 - 44\/15*v**6 + 26\/3*v**3. Factor r(t).\nAnswer: 4*(t - 1)**4*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5040456?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 4. Suppose 0 = 5*o - 157 + 22. Suppose -3*z - o = -4*d, -2*d = -0*d. Let g = -5 - z. Calculate b(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 < -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (4 + 10 + -27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 166782577 a multiple of 847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 - -335. What are the prime factors of z?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*l - 5*f - 8, 3*f + 7 = -l. Let k be ((-144)\/15)\/(-4)*l. Let q be 99\/84 - k\/16. Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**3 + 9*r**2 - 4*r + 2. Let y(v) = 2*v**3 - 8*v**2 + 3*v - 2. Let u(x) = -4*y(x) - 3*z(x). Let j be u(-5). Solve -j + 6 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from {z: 8, k: 2, m: 5, d: 3, y: 1}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/28)\/o*o**(-11)*(o\/(o\/(o*o**(-11\/4)*o)))\/(o**2*o))**(-33) assuming o is positive.\nAnswer: o**(6831\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 88042 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266 divided by 19.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*j = 19, -2*j + 19 = 21*n - 18*n. Solve -n*z = -17*z + 56 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35211850 to the nearest 100000.\nAnswer: -35200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i*i**(-38)\/i*i))*i\/(i\/((i\/(i**(2\/7)\/i))\/i)) assuming i is positive.\nAnswer: i**(-254\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18204*f**3 - 12*f**2 - 4*f + 4128483.\nAnswer: 54612*f**2 - 24*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -816 + 812. Which is smaller: -43\/15 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1850075\/75 - -19)\/(2\/270). Round a to the nearest ten thousand.\nAnswer: 3330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-38)\/8)\/(6\/(-24)). Suppose 3*i + 6 = 4*l - 0*l, 5*l + 2*i - m = 0. Factor 2*g**2 - l*g**2 - 6*g - 9 + 3*g**2 - 3*g**2.\nAnswer: -(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 3886?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1142506155?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.07217358207 and 3.\nAnswer: 2.92782641793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 7:57 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -23. Let p be (16\/(-10))\/((3*8\/(-12))\/5). Put p, -22, i in decreasing order.\nAnswer: p, i, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -2193*h**5\/10 + h**4\/2 - 21*h**3 - 2240*h. Find the third derivative of m(a) wrt a.\nAnswer: -26316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4256\/3 or -1418?\nAnswer: -4256\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-6)*195\/13*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, -7, 1846, 19 in ascending order.\nAnswer: -7, 3, 7, 19, 1846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17446978 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.11 - 0.19. Let h = w - 3.92. Which is the biggest value? (a) h (b) 0.3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335634 times -246?\nAnswer: 82565964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*o, o = 5*t - 3*o - 219. What are the prime factors of t?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 - 76. What is the nearest to 1 in 5, v, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -6. Let v = 143 + -138. Let t = -16\/15 - -2\/5. Sort v, t, c in descending order.\nAnswer: v, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1542?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.233244 and -10.\nAnswer: -9.766756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1.865, 503, -5?\nAnswer: 1.865","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6*y - 8*y + 10 = 0, 2*y = -2. What is the closest to -2 in -231, -0.2, n, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 144890001 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -16. Suppose -1765 = -3*w - g*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -65*t - 64. Let u be z(-1). Solve -4*w = p - u, 1 = -2*p + 2*w + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 126, 229, 336, 447?\n\"Answer: 2*x**2 + 97*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54533 is divided by 401?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32852294?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*c**3*n**3*q - 2*c**3*n**3*s + c**3*q*s + c**2*n**2*q*s - 2*c**2*q*s + 13*c**2*q - c**2 - 7*c*n**3*s wrt c.\nAnswer: 162*n**3*q - 12*n**3*s + 6*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*i - 12, 0 = 5*i + 4 + 11. Calculate the smallest common multiple of 106 and -2*(0 - (2 - o)).\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3\/3 - 380*i**2 - 3458*i\/3 + 3820 = 0. Calculate i.\nAnswer: -5, 2, 573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*(2 + (sqrt(17) + -5 + -2*sqrt(17) + sqrt(17) - sqrt(17))))**2 + -3*((-2*(1 + sqrt(833) + sqrt(833)))**2 + -4).\nAnswer: -39880 - 312*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 302, 296, 290, 284?\n\"Answer: -6*y + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 q, and 1 r when four letters picked without replacement from {w: 3, q: 4, r: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 599 + -869. Let m = -189 - l. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**7\/420 + r**4\/12 + r**3\/6 + 2*r. Let d(n) be the second derivative of y(n). Find the first derivative of d(v) wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 plus 5866.84584?\nAnswer: 6288.84584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4884552 and 42960?\nAnswer: 4296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*p + 5*h, 5*p + 3*h + 6 = -8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*g**2 + 80*g**2 - 2*g + 10 - 10 + 4*g.\nAnswer: 158*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - (-9)\/2 - (-175)\/50?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8292*r. Let n(y) = 32*y - 1. Determine n(v(c)).\nAnswer: 265344*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48640 and 600?\nAnswer: 729600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 3:27 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 334254375 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18115 - 0.01.\nAnswer: 18114.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**5\/5 - a**4\/12 + a**2\/2 + 4*a. Let i be v(-3). What is the greatest common factor of i and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b4 (base 16) to base 8.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62070 + -31008. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -3. List the prime factors of (-2 - l) + (74 + 3)\/1.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14008 and 1924864.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 5 = w, -2*j - 6 - 4 = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -355 (base 11) in base 5?\nAnswer: -3143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -162338 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 515*d*h**4 - 78*d*h**3*p + 4*d*h**3 + 13*d*h**2 + 4*d*p + d + 7*h**2*p - h**2 + 6*p wrt h?\nAnswer: 12360*d*h - 468*d*p + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.21 (c) -3 (d) 0 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 + 1.28. Let d = 0.52 + q. Which is the biggest value? (a) 2\/11 (b) -0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmrbwbwrm. What is prob of sequence rb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001097072 to 6 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3564*w + 18. Let k(p) = -3564*p - 15. What is 6*k(b) + 5*l(b)?\nAnswer: -3564*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -0.8 (c) -2 (d) 860.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -541 times 2.6\nAnswer: -1406.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 51 = -3*i - 3*l, -l = -5. Calculate the smallest common multiple of i and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k*r**3*t**3 - 20*k*r**3 + 2*k*t**2 + 1261*k*t + 8*r**4*t + r**2*t**3 + r*t**3 wrt r.\nAnswer: 6*k*t**3 - 120*k + 192*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*c**4 + 126*c**3 + 90*c - 31?\nAnswer: 504*c**2 + 756*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -131457507038.612 minus 0.5?\nAnswer: -131457507039.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 1 + b**3 + 2*b + 3*b**2 - 4*b. Let m be a(-3). Solve m*v - 1 - 9 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edw when three letters picked without replacement from ddedwweedd?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 177529 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -61. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o - 312 = 0. What are the prime factors of o?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 0, -2*d = 1888*p - 1885*p - 44 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (1 - (-5 + 6 + -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 3, z: 4, c: 5}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*s + 1 + s**2 - 24*s)*(-12 + 12 + 2*s**2).\nAnswer: 2*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 + 94. Suppose -p - 13 = -3*v, -2*v - 3*v + 31 = -k*p. Solve i + y + 3 = 0, v*i + 2*i + 15 = 5*y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1026)\/(-10944))\/((-12)\/176).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159509 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/3 (b) -4 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3745\/4 + -930. Find the common denominator of p and 59\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from iprhxpxxirhrrrrh?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14828, -22121, -34276, -51293, -73172, -99913, -131516?\n\"Answer: -2431*c**2 - 12397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Let o = -214 + 216. Let g(q) be the first derivative of 4 - q**o + 1\/4*q**4 + q**3 + 3*q. What is g(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*h - 166 = -787. Let x = -7 + 10. Calculate the greatest common factor of h and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10798 - 10625. Solve y = 12*d + 101 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/2)\/3*907. Let d be ((-16)\/20)\/((-1)\/1690). Let i = k + d. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -144 + 6528?\nAnswer: 63b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**4 + 22675*u**3 + 25422500*u**2 - 647520000*u + 2599200000 = 0.\nAnswer: -2280, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420578852 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2338571.\nAnswer: 17, 23, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3697502*m**5 - 1823657*m**2 wrt m.\nAnswer: -221850120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdykclc. What is prob of sequence yl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4380 and 620?\nAnswer: 135780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -723*b + 65*b - 625*b + 137*b.\nAnswer: -1146*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 + 27\/6. Let w be s\/(-4) - 9\/(-36). What is the remainder when 10 is divided by (6\/(-9))\/(w\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4*4\/(-3). Let p(u) = -u**2 - 180*u + 9885. What is the remainder when p(44) is divided by z*(1 + 0) - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -7 - 2. Suppose 0 = -0*o - 4*o + 16. Suppose 2*g + o*z - 4 = 0, 0 = -4*g - 0*z - q*z - 12. Is -4 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - w**4 + 2)*(7*w + 6*w - 3*w)*(3 + 2 - 3).\nAnswer: -20*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -18*v + 91. Let m be a(5). What is the common denominator of 4 + 297\/88 + (m - -2) and -23\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 266*u + 2168. Let p be h(-9). Suppose -j - 2*j + 1260 = 0. Let o = j + p. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4242 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6*r = -558. Suppose 10*i - r = 4*i. What is the remainder when i is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217724.\nAnswer: 2, 13, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -404961, -809923, -1214885?\n\"Answer: -404962*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 10. Let y = -0.4 - t. Let z be ((-2)\/12)\/((-2)\/(-20)). Which is the biggest value? (a) -5 (b) y (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**5\/180 - 53*p**4\/108 - 25*p**3\/27 + 52*p**2\/9 - 1683*p. Factor y(g).\nAnswer: -(g - 1)*(g + 2)*(g + 52)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-6) + -8 + (-4 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 4) in base 6?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 55. Let j be (-38)\/(-14) + n\/(-7). Solve x - 4*x = -j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2 (b) -5 (c) -1\/111 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 - 1.4. Sort -1\/2, g, -0.01 in decreasing order.\nAnswer: g, -0.01, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5892?\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 3*q**2 + 2*q + 1. Give v(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**8\/50400 + m**7\/9450 + m**6\/5400 + m**4\/3 + 4*m. Let i(t) be the third derivative of s(t). Let i(p) = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3520250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.042?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(153\/24))\/(-4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + t)*(-6*t - 4*t + 4*t) + 303*t + 5*t**2 - 303*t + 0*t**2 + 2*t**2 + 0*t**2 as x + a*t**2 + b*t and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from ixixxiiiiiixiiixii?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urbk when four letters picked without replacement from bkqbuxqrxqx?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*m - 110*m - 116*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56144 (base 7) in base 12?\nAnswer: 8228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a millennium?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11020 - 4323?\nAnswer: -20343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -75794, -151557, -227300, -303017, -378702, -454349, -529952, -605505?\n\"Answer: n**3 + 4*n**2 - 75782*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1010001010100001 (base 2) to base 14\nAnswer: -1125b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 9 = -4*q - 27. What is the closest to -2\/3 in q, -0.07, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-3)*3)\/(-4). Let a = -138 + 140. Put a, l, -0.2 in descending order.\nAnswer: a, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8738*r**2 + 0*r**3 - r**3 - 8738*r**2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 613034 (base 7) to base 12\nAnswer: 50435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*27984.\nAnswer: 19588.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -556.0242 - -0.2492. Let o = 561.775006 + l. Let y = o + -6. What is y rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 11:17 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16254 divided by 2\nAnswer: 8127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + ((4*(sqrt(1216) + 1) - sqrt(1216)) + 2*sqrt(1216) + -5)**2*-3).\nAnswer: -1440*sqrt(19) + 547236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 9*y - 23. Let r be l(3). Solve -30 = -4*i - r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 - 11 = -2*u. Let x(c) = -c**2 - 9*c + 8. Let v be x(-8). Calculate the highest common divisor of u and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4620113 is divided by 2310002.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -1046d7b?\nAnswer: -1046d84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*j + 403, -j - 3*j + 3*t - 317 = 0. What is the hundreds digit of 5\/j*-4 - 3525\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384607 + 4*p + p**2 - 4*p**2 + 2*p**2.\nAnswer: -p**2 + 4*p + 384607","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c62 - 5e7?\nAnswer: 266a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 31.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*l + 43 = 0, 2*s - 3*l + 22 + 9 = 0. Let j = s - -16. Which is the nearest to 1? (a) 1\/9 (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(5\/4)*l)\/l**(1\/4))\/(l*l*l**(-1\/3))**(-19))\/((l*l**0*l)\/(l*l**(-1)*l))**17 assuming l is positive.\nAnswer: l**(91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319 = 4*d + 3*i + 254, 3*d = 2*i + 70. What is the highest common factor of 59020 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by -5.\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -8*j - 10. Let m(k) = 6 - 2 + k + 6 - 9. Suppose -9 - 11 = -2*d. Let u(v) = d*m(v) + h(v). Let g(n) = -4*n**2. What is g(u(p))?\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 3*a = -3*v - 82212, 54804 = 2*v + a. Round v to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1457*s + 1128. Let z(w) = 5*w - 4. Let k(y) = f(y) + 282*z(y). Let i(b) = -37*b**2. Calculate i(k(o)).\nAnswer: -81733*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 5*b**4 + 1827*b**3 - 1775*b**3 + 2*b)*(-2 - 1 + 5)*(-2 - 2*b + 2).\nAnswer: -20*b**5 - 208*b**4 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 136013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536945.\nAnswer: 5, 17, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3957331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 22 = -2*g, -4*k - 5*g = -2*g - 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3357.122 + -3314.8. Let x = 52 - p. Let t = -9.6 + x. Round t to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, o: 2}. What is prob of picking 2 r and 1 o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1436824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2123 - -1231?\nAnswer: 10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*d - 27*d + 75*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 + 325. Let f = 293 - a. Suppose 272 = 3*w + w. What is the greatest common divisor of f and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 14) in base 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6346204785 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l. Let b = -54 - -10. Let m(k) = 2 - 2 + k. Let a(r) = -r**2 - 11*r. Let c(i) = b*m(i) - 4*a(i). Give c(u(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 34 - 175. Round l to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = w - 5, -m - 2*w - 1 + 2 = 0. Suppose m*b - 2*b = 21. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 271, 504, 747, 1006, 1287?\n\"Answer: g**3 - g**2 + 229*g + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Suppose g*k = 5*q + 12, 0 = -2*q + 4*q - 2*k. Put 5, -1, q in increasing order.\nAnswer: q, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 9) to base 15.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g - 6. Let o(l) = 6*l - 5. Suppose -q = -5*y + 32, -2*y + 4*q = 3*q - 14. Let z(a) = y*o(a) - 5*u(a). Let b(s) = s. Determine b(z(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*s**3 - 111*s**2 + 57*s**2 + 54*s**2.\nAnswer: 54*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o - 8. Suppose 2*i + 2*i = o*j - 12, 5*j = 20. Let c be (4 + 0)\/(i + 1). Sort c, -5, -1 in decreasing order.\nAnswer: c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(1\/6)\/h))\/((h*h*h*h\/(h\/(h\/(h*h*h**(-1\/2))))*h)\/h*h))\/(h**1)**(1\/2)*(h**0\/h*h)**(-2\/29)\/(h**(-5)\/h*h*h**3) assuming h is positive.\nAnswer: h**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 340 + -144. Suppose 2*d - a - 800 = 0. Let n = d + -265. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220203 + 10?\nAnswer: 220213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/1 - (1 - -5). Let k be r\/(-4) + (-4379)\/(-116). Which is smaller: 43 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/52)\/((-7686)\/(-5551)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*p**2 - 103*p + 671*p**3 + 53*p + 38*p**2 + 49*p.\nAnswer: 671*p**3 - 4*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((169\/65)\/(-13))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23610657113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*i**2 + 5815*i**3 - 21*i**2 - 5124 - 21*i**2 - 6*i**2 + 5108 wrt i.\nAnswer: 34890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 2. Suppose -64 = -163*u + 99*u. Which is the nearest to u? (a) p (b) -0.1 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 31*y - 211. Calculate a(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 58979.2 decades?\nAnswer: 589792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**4 - 92*m**3 + 2*m + 49?\nAnswer: -36*m**2 - 552*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.700823 rounded to 3 decimal places?\nAnswer: -0.701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c = -5. Let o(q) = 7*q**2 - q + 1. Let t be o(c). Let n be (t\/((-84)\/(-32)))\/(-2). Sort n, -3, -2\/7 in ascending order.\nAnswer: -3, n, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 0.07, 2\/15 in increasing order.\nAnswer: -139, 0.07, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u**2 + 19*u - 4. Let v(o) = -19*o**2 + 38*o - 11. Let y(n) = 13*g(n) - 6*v(n). Factor y(q).\nAnswer: -(q - 7)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g = -20. Let k(u) = u. What is the units digit of k(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -8*s**2. Let j(m) = -23*m + 1. Let u(f) = 172*f - 6. Let i(h) = 6*j(h) + u(h). Give i(g(w)).\nAnswer: -272*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 314953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/319, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2. Let g(z) be the second derivative of z**6\/240 + z**4\/4 + 2*z. Let i(w) be the third derivative of g(w). Give i(q(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -29*p**2 - 3*p + 2. Determine s(2).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.270447057 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*t - 53261 - 22776, -38026 = -2*n + 4*t. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 9*m - 4. Determine h(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m. What is the remainder when 83*(45\/(-5) - -10) is divided by r(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.266 - 3.266. Sort -5\/19, v, 1 in descending order.\nAnswer: 1, -5\/19, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 6*l**2 + 10*l - 8. Let q be w(8). Suppose 0 = 5*y + 25 - q. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 22*t**3 - 29)*(21*t - 17*t + 16*t - 5).\nAnswer: -440*t**4 + 110*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 2*b + 17)*(-4 - 2 - 1 + (3 + 5 - 1)*(0 - 1 + 3)).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2 + 762*k - 145161 = 0. What is k?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 12. Suppose 0 = -v - 2*m - m - 4, -2*v - h*m = 0. Solve -6*f - v = -8*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-1 - (-30 + 2)). Suppose -64 = 4*l - 2*w, -5 = -l + 4*w - h. Let k = 7 - l. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3491466?\nAnswer: 2, 3, 11, 52901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/33, -1\/41, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 2696 + 512 = 0. Suppose -119*y + a = -106*y. Solve 4*o + 2*d = y, 3*o - 4*d = -0*o + 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 5\/3*z**2 + 47 - 8*z - 1\/30*z**5 + 2\/3*z**3 - 1\/8*z**4. Factor h(w).\nAnswer: -(w - 2)**2*(w + 3)*(w + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13901 is divided by 50?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12790\/3411 at least 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1110, 452, -644, -2178, -4150, -6560, -9408?\n\"Answer: -219*j**2 - j + 1330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 104\/(-6)*9\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133 - 56 + 48*t - 114)*(t**4 - 3 + 3).\nAnswer: 48*t**5 - 37*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -40*s**5 - 95*s**4 + 10*s**3 + 95*s**2 + 30*s = 0. Calculate s.\nAnswer: -2, -1, -3\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**6*f\/(f*f**(4\/7)\/f)*f\/((f*f**1*f)\/f*f)*f**(-5)*f*f\/f**0*f*f**3*f*(f*f**0)\/f**0 assuming f is positive.\nAnswer: f**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47880 and 1128260.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -16. Let o(c) = -c + 14*c - p*c. Give o(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 472 = -4*i, -3*z + 1450 = -i - 4*i. Suppose -3*f - z + 60 = -a, -3*a + 1248 = 3*f. List the prime factors of a.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -421356967*h**3 - 2*h**2 - 947234184 wrt h?\nAnswer: -1264070901*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*k - 62*k + n = -9, k + 3*n = 1. What is the least common multiple of k and (-1 - 0) + 24 + 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**2. Let x(n) = -n + 7. Let u(t) = t - 6. Let m(i) = -7*u(i) - 6*x(i). Determine m(h(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 301*q**5\/60 - 4*q**2. Is o(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156.4541 grams to micrograms.\nAnswer: 156454100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5899\/6 bigger than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbkkgkt. Give prob of sequence kb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39136307?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + f - 7. Let s be g(0). Let b = s - -12. Suppose -2*i = 5*r - 5*i - 18, 5*i = b*r - 20. Solve -3*p = r*o + 3, -4*p + 16 = -5*o - 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 3:06 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/4 - 70\/56.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*(sqrt(1872) + -4*(1 + sqrt(1872))) + -5*sqrt(1872)*2 + -3 + 1)*-3)**2.\nAnswer: -75600*sqrt(13) + 20639700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7723744 - 3712419. Is r\/375 + (-2)\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3474\/19107)\/(((-9)\/33)\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-3*q**3 - 2*q**3 + 2 + 2*q**3 - q).\nAnswer: -3*q**3 - q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 divided by -3?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -12*r**2 + 11*r - 10. Let x(u) = 13*u**2 - 12*u + 12. What is 6*m(k) + 5*x(k)?\nAnswer: -7*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 280 - b**2 - 3 + 64 + (-5 + 5 - 2*b)*(-4*b + 3*b + 2*b).\nAnswer: -3*b**2 + 341","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 2. Let z = 5 - 5. Suppose -6*h + h = z. Put h, -4, k in descending order.\nAnswer: h, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38552 is divided by 688.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from sqbnqaapsnbqpsns.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 12:13 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) 2\/5 (c) -9 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -370 + 250. Let t be 91\/p + (-16)\/(-20). What is the biggest value in t, -0.2, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + -1 - -7 - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28, -7, -116, -323, -652, -1127?\n\"Answer: -4*s**3 - 13*s**2 + 32*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y**3 - 2*y**2 + 1. Let j be s(-1). Find the second derivative of c - c**j + 2*c - 2*c wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*s**3 - 1\/2*s**2 + 0*s + 0.\nAnswer: -s**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, d: 3, n: 2, v: 1}. What is prob of picking 3 d and 1 n?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 29 + 71 = 0. Is -8 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 8*m**2 + 6 + 4*m**2 + 7.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1590865?\nAnswer: 5, 318173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63679809 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 262527060?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10316 + -2?\nAnswer: -10318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -4*u + 6, -44*j = -42*j + 2*u + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8043\/17 + 473. Let t = 0.891 - -0.119. Let p = -0.01 + t. Put p, i, 0.5 in increasing order.\nAnswer: i, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 4*i**2 - 23*i + 2. Let c be z(3). What is the second biggest value in c, 5\/2, 0.2, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -716*a**2 + 1391*a**2 - 676*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -2, -56.\nAnswer: -56, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338501681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/15*(-40)\/24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -120058 (base 12) to base 13\nAnswer: -a2224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1848, 1824, 1798, 1770, 1740, 1708?\nAnswer: 1674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12094 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: List the prime factors of 389954.\nAnswer: 2, 194977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010101 (base 2) to base 16.\nAnswer: -d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 50 - 34 = 0. Let n(s) = -2*s**3 + 2*s - 1. What is the remainder when n(-3) is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26653b22 - -2?\nAnswer: 26653b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 310214 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -50. Suppose -3*u + 28 = -m. Suppose 42 = 3*j + 12. Calculate the lowest common multiple of j and u.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7821*g**3 - 331*g**3 - 2483*g**3 - g**3 + 2*g**2 - 2*g**2 + (4*g + 0*g - 2*g)*(g**2 - g**2 - g**2) to the form b*g + z*g**3 + r*g**2 + x and give z.\nAnswer: -10638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 5*x + 69 - 59, -3*w + 2*x + 11 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.66 times -0.3\nAnswer: -0.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12*g + 840 = 0. Suppose -3*c + 3 = -g. Solve 5*o - c = q - 0*q, 4*o - 12 = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from xpccixdxxijcic.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 3*u - 27, -10 = 4*a + 5*u - 55. Let c be ((-8)\/(-20))\/1*a\/2. Solve -11 = -2*h - 3*q, c*h - 12 = -0*q - 4*q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-5)*5\/80.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.528? (a) 1 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12*(-10 + 4 + 27). Let i = f - 251. Let k(w) = -13*w - 3. Let d(a) = -12*a - 2. Let s(l) = -3*d(l) + 2*k(l). Calculate s(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 6. Let d be c\/12 - (-1)\/2. Find t, given that -4\/3*t**3 - d + 7\/3*t**2 - 2\/3*t = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uav when three letters picked without replacement from {a: 2, e: 12, u: 2, v: 2}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000945315944 to seven decimal places.\nAnswer: 0.0009453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 10*y + 51. Let g be u(4). What is the biggest value in g, -0.2, 2\/175?\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -1 - ((18 - -7) + -31 + -5 - -1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29293043?\nAnswer: 13, 2253311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22265 and 1460.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 120.677 to the nearest integer.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2745*b - 125*b**2 + 1416*b + 1331*b + 98*b**2.\nAnswer: -27*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 less than -1847?\nAnswer: -1808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 t, and 1 g when three letters picked without replacement from {g: 2, f: 4, i: 2, a: 10, t: 1}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240260 and 59296168.\nAnswer: 296480840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -31*x + 35*x - 8, -16 = -6*l - x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 5*b = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*s = -100*s + 68*s - 130*s + 12660 for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38932 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 10*f - 7. Calculate j(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -723\/71 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 12*g**3 - g**2 + 2*g - 1. Let z be c(1). Suppose -y = y - z. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -656 less than -0.042?\nAnswer: 655.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2042022 and 48.\nAnswer: 16336176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 3*u**2 - 1\/180*u**5 + 0*u**3 - 2 + 1\/24*u**4 + 0*u. Let g(n) be the second derivative of o(n). Factor g(m).\nAnswer: -m*(m - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/3 - 13766*v - 21660688\/3 = 0. Calculate v.\nAnswer: -518, 41816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -876?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11 - -21) + -11 + (3820 - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**4\/4 - 58*s. Let m(i) be the second derivative of -5*i**3\/6 - 8*i. Give k(m(q)).\nAnswer: -75*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + w - 5. Let o(d) be the third derivative of -d**6\/120 + d**5\/15 - d**4\/12 - d**3\/2 - 8*d**2. Let x be o(3). What is f(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*n + 1114 - 22 = 367*n for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k + 175 = 2*m, -17 = -k - 4*m. What is the remainder when k is divided by (2\/(-4) - -1)*38?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1479 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 14 = 4*d - d, 4*f + 4 = 2*d. Suppose 6*y + d*y = 0. Solve -m - 5 = y, 3*w + w - 4*m = 24 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-15 - -8)) + 1 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -156. Let v = -111 + r. What is the second biggest value in 0, 0.4, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1142, 8, -1\/8 in descending order.\nAnswer: 1142, 8, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 24*s - 29 + 52*s**2 + 13 + 29 + 12. List the prime factors of f(-6).\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1542 (b) 10 (c) 0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3136, 3139, 3142, 3145?\nAnswer: 3148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/10 + 1\/2. Factor -1\/5 - 1\/5*c**2 + o*c.\nAnswer: -(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 691.6576 kilometers?\nAnswer: 691657.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/135804 and -125\/2136.\nAnswer: 24173112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 10 = -11 - 3 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**5\/12 - 7*k**4\/24 - 31*k**3\/6 - 609*k**2 + 2. Let d(j) = 2*j**2 - 3*j - 15. What is 4*a(r) - 9*d(r)?\nAnswer: 2*r**2 - r + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 16*i**2 + 16*i - 7. Let k be r(-17). Let p = 24 - k. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(4620\/(-240))*-56.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4.15, -5\/2, -0.3, 1\/5, 29.\nAnswer: -4.15, -5\/2, -0.3, 1\/5, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 - -606?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144585\/(-35))\/27*56\/126.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -325378*b*d**2*q**3 - 2*b*d*q**2 + 11*d**2*q**3 + 3*d*q**2 - 3*d*q + 6*q**3 + 2262*q**2 wrt d?\nAnswer: -650756*b*q**3 + 22*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.65 - 127.35. Let p = g - -129.99999943. Round p to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (0\/(-4) + -3). Suppose -7*b + 2*b + k = 0. What are the prime factors of (60\/4 - b) + 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 19. Let z = b + 19. Let g = z + -9.135. What is g rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12560 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is c6 (base 13) in base 15?\nAnswer: ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -13*m**2 + 36*m + 93. Calculate h(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -147*o + 148*o - 12, -72 = 4*f - 9*f - 31*o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 504 divided by -7\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/3)\/i*(i\/(i**(-1)*i))\/i*i assuming i is positive.\nAnswer: i**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*r**5 - 289939*r**4 + 159*r**2 + 289939*r**4 wrt r.\nAnswer: 2340*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 375 - 126 - 181 - 46*o - 181 to m*o + x and give x.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 38, -2 in ascending order.\nAnswer: -2, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 92*s + 2208. Let b be a(-24). Let u = -7 + 4. Put b, 3, u, -1 in increasing order.\nAnswer: u, -1, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2636054 is divided by 47.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/12 - 63\/(-270) - (-1357472)\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26403714.\nAnswer: 2, 3, 1466873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/3 in -0.2, 1\/5, -70, 62.9, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -3. What is the greatest common factor of i and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*j + 3*m - 15, -m + 9 = 2*j. Let t(u) = u**3 + 10*u**2 + 10*u + 10. Calculate the remainder when j is divided by t(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369215723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0 - 4. Let d be -1*(0 - t)\/1. Suppose 0 - 9 = 3*p. Which is bigger: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7*g + 4. Let b(o) = o + 1. Let k(v) = -5*b(v) + x(v). Let n(w) = -6*w + 3. Let a be (-15)\/(-1 - 2) + 1. Determine a*n(y) + 17*k(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2959650*k**3 + 26*k**2 - 648545*k + 300?\nAnswer: -17757900*k + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4646 - -4651.436. What is j rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6 + 0*m**2 + 3*m**2 + m**2 - 2*m**2 + 9*m. What is the tens digit of x(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115484.\nAnswer: 2, 28871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45810, -91615, -137420, -183225, -229030, -274835?\nAnswer: -320640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 5*c + 2. Suppose 2*h = -4*t - 4, -1 = h + 5*t - 2. Let l be a(h). Let i be (-112)\/30 + (-10)\/(-425)*17. Which is smaller: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (6 + -16)) + -2 + -1 + -33.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4417693 is divided by 417.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k + 102. Let n(z) = 2*z - 12. Let r be n(17). Let d be m(r). Is -8 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*q + q**2 - 60*q + 4*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 29122152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3716279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b6a4 + -4?\nAnswer: -b6a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t + 2*t - t**2. Let c(m) be the second derivative of 0*m**2 - 9*m + 1\/3*m**3 + 0. Give i(c(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**4\/3 - 2*g**3 + 7*g**2\/3 + 2*g - 8\/3 = 0.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1731 = -127*q - 488 + 1551 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {j: 1, l: 2, t: 3, f: 2, g: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 696547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1556899.1 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**19*b*b))\/b)**(2\/33) assuming b is positive.\nAnswer: b**(-14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41*c**2 + 502923*c + 208522.\nAnswer: (c + 12266)*(41*c + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -25*l**3 - l. Suppose -4*t + 4 = 0, -3*c - 2*c - 3 = 2*t. Let j be r(c). Suppose -3*z - j = -2*f + 2*z, 5*f - 119 = -z. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -52, 12*j - 10*j + 7*j - 2*d + 23 = 6*j + 4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 53*m**2 + 114*m - 58. Is s(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 11*q**2 + 7*q. Let g be u(-10). Let t be (-46)\/299 - 93\/(-13). Suppose -41 - 1 = -t*i. Calculate the greatest common divisor of i and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 5 in decreasing order.\nAnswer: 6, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-189)\/81)\/((-49)\/(-14)). Which is greater: -0.68 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 7*u + 5. Let m be d(4). Let a be (m\/(-3))\/((-1)\/1). Suppose -a*j + 0*i - 4*i = -104, 165 = 5*j + 5*i. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 + 9*v**2 - v + 5. What is l(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 12*j**2 - 10*j - 10. Let k be s(11). Let i(m) = 4*m**3 + m**2 - m. Let g be i(k). Solve -p + 0*p + g = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 404.\nAnswer: 40.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/189 - (0 + (-4)\/(-18)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -12*r - 3. Give b(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 8 (c) 360 (d) 3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)*a)\/((a*a**(1\/9))\/a))**1*(a*a**1\/a*a)\/(a*a*a*a**(2\/9)*a)*(a\/(a**(-1)*a))**(4\/15) assuming a is positive.\nAnswer: a**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 408*q + 498. Let y(z) = -49. Determine -r(p) - 10*y(p).\nAnswer: -408*p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -12*g + 0 + 0*g**3 - 14*g**2 + 61\/12*g**4. What is the first derivative of m(o) wrt o?\nAnswer: 122*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -5)*3\/4. Suppose 0 = a*o + 3, -2*v - 1 = 5*o - 6. Suppose v*m - z = 3*z + 109, 4*m + 5*z - 120 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**7)*x*x**(-1\/10)\/x*x)**(1\/22))**(2\/187) assuming x is positive.\nAnswer: x**(-61\/20570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -65. Calculate the remainder when 1\/(-4) - y\/(-8)*3 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -l - 0. Find the common denominator of (l\/(-16))\/((-2)\/8) and 12\/23.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 261225, 261229, 261235, 261243, 261253?\n\"Answer: r**2 + r + 261223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**9\/60480 + g**8\/4032 - g**7\/5040 + g**6\/360 - g**5\/12 - 3*g**2. Let l(k) be the third derivative of v(k). Give l(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 152*u - 2057. Determine q(-136).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 325122 divided by -108374?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17953550, 17953548, 17953546?\n\"Answer: -2*r + 17953552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + 178. Calculate the highest common factor of i and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**3 + 5*g**2 + 2. Let u be ((-150)\/105)\/(2\/(-7)). Let k(o) = -6*o**3 - 4*o**2 - 1. Calculate u*k(n) + 4*m(n).\nAnswer: -2*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + d**2)*(-2 - 2 + 3) + (0 + 0 - 1)*(-27*d - 2*d**2 + 27*d) as x*d**2 + i*d + s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)*z*z*z)**(-47)\/(z**(-1\/4)\/z)**(-29)*(z**(-1\/4))**(-11)\/(((z**(2\/25)\/z)\/z)\/(z*z*(z\/z**1)\/z)) assuming z is positive.\nAnswer: z**(-21037\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - t**2 + 6*t**2 - 2 + 2 - 2*t**2 + (0 - 2 + 1)*(5 - 5 - t**2) to d*t**2 + m + p*t and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/6 - (-1011)\/6. Let t = -80 + q. Is 29 a factor of t*(1 - (-1 + 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*d + 2 + (2 + 2 - 3)*(3*d - 2*d + d))*(-2*d**2 - 1 + 1 + (d - d + 2*d)*(-7*d + 2*d + 3*d) + 5*d**2 + 4*d**2 - 4*d**2).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-334)\/(-8) + -3*(-1)\/12. What is the greatest common divisor of 210 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -404*k**3*v**4 + k**3*v**3 - 21409*k**3 - 200*v**3 + 50*v**2 wrt v.\nAnswer: -9696*k**3*v + 6*k**3 - 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -28, 36, -2\/3, 5, 3\/11, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3102, 6218, 9346, 12492, 15662, 18862, 22098, 25376?\n\"Answer: m**3 + 3109*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/6)\/((-98)\/546) - (-3)\/21. Put 1, -500, m in decreasing order.\nAnswer: m, 1, -500","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, g: 9, a: 3, c: 4, f: 1}. Give prob of picking 1 z and 1 f.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 52a (base 13) to base 4\nAnswer: 31301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 180, 330, 586, 954, 1440, 2050, 2790, 3666?\n\"Answer: x**3 + 47*x**2 + 2*x + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -59. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613374 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -10. Solve 4 = -r + s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-5)*z**5*z)\/((z\/(z\/(z*z**(-1\/2))))\/(z*z\/z**4)) assuming z is positive.\nAnswer: z**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23676942728900281\/84210 + 281165452194. Let g = -1\/2807 - t. Calculate the common denominator of -67\/21 and g.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1344 + 1169.1344. Let g = z - 1167. Suppose -4*m + 5*p = -12, 4*m + 3 = -p - 9. What is the third smallest value in m, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 36801*q**2 - 987. Let a(x) = 149*x**2 - 4. Determine 987*a(z) - 4*h(z).\nAnswer: -141*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 59b8ca6?\nAnswer: -59b8ca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147171074.\nAnswer: 2, 17, 19, 31, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 1)*(-18)\/24. Let t(a) be the second derivative of 0*a**m + 0 + 7\/20*a**5 + 0*a**4 + 7\/2*a**2 - 8*a. Find the first derivative of t(w) wrt w.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 334?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -678*o**3 - 430*o**2 + 194*o - 16. Let l(i) = -1357*i**3 - 841*i**2 + 389*i - 32. Let t(s) = 2*l(s) - 5*u(s). Factor t(f).\nAnswer: 4*(f + 1)*(13*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 12*w - 18. Let s be 3\/w - (9 - (1 - 1)). Let q(k) = 3*k**3 - 5*k**2 + 2*k. Let n(x) = x**3 - 2*x**2 + x. Give s*n(o) + 3*q(o).\nAnswer: o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*n**4 + 7*n**3 + n**2 + 99*n?\nAnswer: 1368*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -2*f + 3*k, 3*f - 10 = k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5549 + 2781 + 2768 + 1875*f as m*f + n and give m.\nAnswer: 1875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 17*w - 15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -120*j - 246. Let z be s(-10). What is the greatest common factor of 53 and z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1879833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g + g**3 + 0*g - 2*g**3 + 4*g**3 + g - g + (1 - 4 + 2)*(3*g**3 - g**3 - g**3).\nAnswer: 2*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/471 and 37\/867.\nAnswer: 136119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-12) + (36\/(-42))\/(13 - 1700\/119)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -13*p**3 + 18*p**2 - 4*p + 8. Let l(n) = -18*n**3 + 26*n**2 - 6*n + 12. Let i(k) = -5*l(k) + 7*x(k). Calculate i(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -12. Suppose 14*x - 32*x + 1386 = 0. Suppose -26 = s + 2*v, -2*v + x = -3*s - 25. Is s less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3114\/641 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (302 - 297)*((-1)\/(-2) - 47\/(-10)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 172.964.\nAnswer: -172.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 + 514 = 4*g. Let q be 20\/2*-55*8\/(-200). Calculate the greatest common factor of g and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10804.3 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, 22, 27765 in decreasing order.\nAnswer: 27765, 113, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(3\/(-18)))\/(-3 + 2). Suppose 17*c = 15*c + q. Suppose -29*f**5 - 6*f**4 + 63*f**5 - 31*f**5 + 3*f**c = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/3 + 99884*h\/3 + 332880 = 0. Calculate h.\nAnswer: -49932, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -711137.9 rounded to the nearest ten thousand?\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -22 - (38 + (24 - 53))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39.205 - 1.\nAnswer: 38.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a. Let b(r) = -8*r - 1. Let o be 5341\/981 + 15\/27. What is o*v(z) - 2*b(z)?\nAnswer: 10*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2. Let q(h) be the second derivative of 31*h**4\/6 - 2*h + 2. Let f(t) = -620*t**2. Let x(r) = -6*f(r) - 62*q(r). Give x(b(z)).\nAnswer: -124*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135627 (base 10) to base 5.\nAnswer: 13320002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-2))\/(-3)*((-800)\/(-350)*5)\/(-2).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(7))**2 + sqrt(5) + 1 + -6*sqrt(80).\nAnswer: -23*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9146*f**3*h**3 + 3*f**2*h**3 - 22012*h**3 - h wrt f?\nAnswer: -27438*f**2*h**3 + 6*f*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19.9 and -340395.2?\nAnswer: 6773864.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 183347 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 1. Let o be w(-4). Suppose 10 = o*b, b + 0*b = 3*a - 40. Let v be 1 - ((-3)\/(-3) + -4). Solve -v*m - h + 0 = 2, -4*m + 5*h = a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 19*w**2 + 17*w + 21. Suppose -4*r + 16 = 2*b, -11*b - 5*r + 29 = -8*b. What is g(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56099.\nAnswer: 56099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 4*j + j)*(-2 - 1 + 4).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 2}. Give prob of picking 2 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 886113 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, -32, -76, -146, -248?\n\"Answer: -j**3 - 4*j**2 - 5*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 25 = -3*y, s - 3*s = 2. Let i(w) = -w**2 + 6*w + 18. Let q be i(y). Suppose -q*z + 28 = n - 4*z, 0 = 3*z - 9. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.157381251 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 4 - 4)*(-3*p**4 + 3*p**4 + 2*p**4) + 2266*p**5 + 56206*p - 56206*p.\nAnswer: 2262*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1330, -1328, -1326?\nAnswer: -1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2148.84 times -6?\nAnswer: 12893.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 * 68.335.\nAnswer: 2938.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2. Suppose 29 = 2*h - 5*i, -6*h + h = 3*i + 5. Let n(f) = -129*f**h + 332*f**2 - 166*f**2. Calculate l(n(m)).\nAnswer: -1369*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -40, 1\/10, -6, -12\/5?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27, -48, -83, -132, -195?\n\"Answer: -7*b**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**9\/126 - a**5\/20 - 6*a**2. Find the third derivative of x(d) wrt d.\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**2 + 3*i - 3. Let p(s) = 3*s**2 - 2*s + 2. Let x(d) = 3*d - 2 - 5*d + 9 - d**2 - 6. Let w be x(1). Determine w*a(f) - 3*p(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 517577129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 11*y - 18 = 0. What is the third derivative of -19*w**2 + 9*w**2 - y*w**5 + 3*w**5 + 8*w**2 wrt w?\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 - 19*a - 36. Let x be h(-7). Is x at least 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1543*y - 16 = 1547*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + -2 + (sqrt(612) - (sqrt(612)*1)**2).\nAnswer: -614 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2285556523 + 2.\nAnswer: -2285556521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqpxqplqqqxtpto. What is prob of sequence qqtt?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2748?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*q - 32 + 54*q - 12 + 20)*(2*q + 0*q + 0*q) to t + k*q + d*q**2 and give d.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -365 - -260. Let q = -109 - r. Suppose -3*l + 30 = -s - 0*s, -4*s - 21 = -l. What is the biggest value in l, -5, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 26 - 19 - (2 - 3)\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6970*b - 30 = -5*x - 6974*b, -4*x + b = -3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 11 + 14. Suppose -6*n + u*n = -13. What is the derivative of -2*m - 16*m - m + n + 7*m wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -248.4 + 251. Let w = p + -1.6. What is the second biggest value in 0.04, w, 0?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(7056) + 3*2*sqrt(7056) + sqrt(7056) + sqrt(7056) - sqrt(7056)))\/((2*sqrt(77)*2)\/(-2*sqrt(1100) + sqrt(1100) - sqrt(11))).\nAnswer: -1056*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 - 34*u + 33. Let r(f) = -10*f**2 + 100*f - 97. Let q(x) = 2*r(x) + 7*w(x). Factor q(a).\nAnswer: (a - 37)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -707\/15. Let l(k) = -11*k + 12. Let z be l(6). Let w be 2\/5 - z\/(-60). What is the closest to w in -0.5, u, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2 + (-15)\/(-10). Differentiate 4*o + q - 3*o - 2*o with respect to o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932635056 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: Solve y + 150*g - 148*g - 2 = 3*y, -3*y - 43*g + 273 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/12)\/(1\/45). Let r = 55\/9 + -196\/9. What is the common denominator of (-35)\/(-14)*52\/v and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 27016*b**3 - 270232*b**2 - 756704*b - 648624.\nAnswer: (b - 27026)*(b + 2)**2*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 17 = -2*y + 4*n, 2*y - n = -3. Suppose g - y = -0*g. Let x be 1*-2 - (-8 + 1). Put x, g, -3 in ascending order.\nAnswer: -3, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 450*x**3 + 99*x. Suppose -13*i + 4 = -4*f - 18*i, -5*f + i + 24 = 0. Let v(d) = -18*d**3 - 4*d. Determine f*t(c) + 99*v(c).\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -62*w**3 - 1331*w**2\/2 - 1501*w\/2 - 147 = 0. What is w?\nAnswer: -294\/31, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**3 + b**2 + b - 1. Let n be u(1). Let x be (3\/n)\/(-1)*10. Let l(w) = w**3 + 4*w**2 - 4*w + 3. Give l(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + s**2 - 25. Give n(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - 0*1\/(-6). List the prime factors of (2*(-8)\/h)\/(14\/(-2135)).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 8*q - 10. Let y be h(-7). Let z(x) = 6*x + 13. Let j be z(y). Let v = 470 - 472. Sort 19, v, -1, j.\nAnswer: j, v, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 23*x + 2. Suppose 17*z = 22*z - 30. Let c(j) = 23*j + 1. Let r(n) = z*p(n) - 5*c(n). List the prime factors of r(3).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273481 divided by 2359.\nAnswer: -273481\/2359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*1 + 90\/6. Solve -h = 2*u - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g**2 - 139*g + 27. Let c be v(23). Solve -c*n + 19 = -3*r, 4*r - 4*n + 14 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvvqnnnnnv. What is prob of picking 2 n, 1 q, and 1 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**5\/60 - o**4\/6 - o**3\/2 + 2*o**2. Let r be y(-2). Let z = r + 17. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 177*g - 3179. Calculate b(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-14) - (-300)\/924. What is the closest to 1 in -5, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696 = 13*r - 787 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11, -15, -11, 1, 21?\n\"Answer: 4*w**2 - 16*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 222 + -32. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 9*k + 5 + 9*k)*(-2 - 3 + 3) + 6*k**2 + 3*k**2 - 3*k**2.\nAnswer: 4*k**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794161959 to the power of 1\/4, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 9 = 89. Let k be (-4)\/(-8) + 35\/(-2). Let r = 33 + k. Calculate the least common multiple of r and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091 a factor of 14772140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20607 = 14*l - 103811. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/1 + 0)\/(-1). Let z(g) = 18*g**2 + g + 1. What is the remainder when z(u) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1.4. Let b be ((3 + -1)\/6)\/(10\/6). What is the nearest to -1\/3 in 2\/7, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-39) - (-7095)\/(-65). Let r = m + 179. Is r a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -25 (b) 66 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/13055 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5734799816?\nAnswer: 2, 716849977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -195279*v**2 + 81*v + 1004. Let c be b(-28). What is c rounded to the nearest one million?\nAnswer: -153000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + d + 1. Suppose -30 + 25 = -5*u. Let w be 33\/7 - 10\/(-35). Let g(r) = -2*r**2 - 4*r - 6. Give u*g(s) + w*v(s).\nAnswer: 3*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - d**2 + 4*d**2)*(-1 + d**2 + 1) - 6*d**2 + 6*d**2 + 2*d**3 - 3*d**4 - 2.\nAnswer: -d**4 + 2*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 14 + 4 = -3*p, 0 = -2*p + 3*b + 9. Suppose -20 = -4*w, -p*w = -4*v - 157 - 286. Let i = -104 - v. Put 5, i, -0.2 in ascending order.\nAnswer: -0.2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63517, 63564, 63613, 63664?\nAnswer: 63717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441936 and 403?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-84)\/(-63)*(-3)\/2. Let a be 1\/b - 1086\/(-12). Let h = 23 - 13. What is the greatest common factor of h and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 20*s**6\/3 - 13*s**3\/3 - 4870*s**2 - 4770. What is the second derivative of y(p) wrt p?\nAnswer: 800*p**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*n + 18*n + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3393\/(-36192))\/(189\/(-12))?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/(-15))\/((-246)\/(-1230)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 - -65. Let o be ((-40)\/12)\/(z\/(-6)). Solve -2*y - 5*i + 27 = y, -o*i - 5 = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/133 and 3\/6137.\nAnswer: 42959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 585615431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 123379.8 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqllllll. What is prob of picking 3 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115280816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.34 and -10517.6?\nAnswer: 3575.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4012197 minus 37?\nAnswer: -4012234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -70a (base 12) in base 11?\nAnswer: -846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3047 + -0.3. Let n = 0.0727 - t. Sort 4\/7, 2, n in increasing order.\nAnswer: n, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, 9, -3, -8, -4, 0 in ascending order.\nAnswer: -91, -8, -4, -3, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 4*d - 4. Let v = d - 35. Suppose -q = 5*w - 434, w = -3*w - v*q + 345. List the prime factors of w.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 6:40 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}