diff --git "a/data/dm_maths/full_data/10999_11255.jsonl" "b/data/dm_maths/full_data/10999_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10999_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 173613199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 98, 101?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166300 and 124500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k - 2*k)*(-89 + 89 + 19*k) - k**2 + 3*k**2 - k**2.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*x**4 + 212382*x**3 + 424548*x**2 + 282984*x + 62880.\nAnswer: 3*(x + 2620)*(3*x + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (4\/(-16))\/1*2. Let b = -135 - -134.6. What is the nearest to -2\/25 in -0.1, b, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26184 not equal to -26228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (2 + 0\/2). Suppose 5*u + 3*x - 4991 = k, 2*u + 0*u = -3*x + 1991. What is u rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23931, -47816, -71701, -95586, -119471?\n\"Answer: -23885*g - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1696*b**2 - 941*b**2 - 1562*b**2.\nAnswer: -807*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135851254?\nAnswer: 2, 7, 11, 19, 29, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**3 + 2 - v**2 + v**2 + (0*v - 3*v + 0*v)*(11*v**2 - 761*v + 761*v).\nAnswer: -29*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + r = s - 27, 5*r + 123 = 4*s. Let f(v) = 6*v - 120. Calculate the smallest common multiple of 48 and f(s).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(4\/7)*w*w**(-32) assuming w is positive.\nAnswer: w**(-206\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3520*c + 3513*c + 81949 = 0. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4225?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2\/239, -2, -5, 6.\nAnswer: -5, -2, -2\/239, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2654315 millilitres?\nAnswer: 0.0002654315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -34 + (-8 - -7) + -32.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -4*w + 13, -3*w + 0*j = j - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1179060 and 10968.\nAnswer: 2358120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + -404\/9. Let k = -8 + 0. Let m = -0.21 + 4.21. Sort k, i, m in increasing order.\nAnswer: k, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*j - 101 + 291 = -280. Solve 15*y = 5*m + 10*y + j, 25 = -5*m - 5*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 824 and 3708?\nAnswer: 7416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126 + -440. Which is greater: 2 or c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30541 = 780*c + 5581 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -12779 less than -12782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2 - (-38)\/20)\/(9\/(-510)). Is 0.1 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1021 and 9864902?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 15. Let w = i - -9. Suppose p + 17 = 4*g - 0*g, -4*g + 5*p = -37. Solve w*s = g*s - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 5148.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*f - 5 + 0)*(-8*f - 1 + 1).\nAnswer: -16*f**2 + 64*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from yeyxxeyaxcxaxxyecx.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 = -6. Let x(l) = 9*l - 2. Calculate the smallest common multiple of x(w) and 4\/(4\/21*(-7)\/(-2)).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 + (-13)\/(169\/(-728)). What is the greatest common factor of 6125 and c?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 120094 and 4038522.\nAnswer: 4158616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-15 - -3 - (-21 - (-8 + -1 - 2)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oorororoooooroooroo. Give prob of sequence rr.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1. Let v = 1 + 3. Sort u, v, -4 in descending order.\nAnswer: v, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115372475, 230744950, 346117425, 461489900, 576862375, 692234850?\nAnswer: 807607325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 749102911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 16 = 0, 4*o + 2*i - 72 = -20. Let t be 20\/o + (-4)\/(-22). Solve 3*m - t*b = 8, -1 = -2*m - 3*b - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -7, -59 in ascending order.\nAnswer: -59, -7, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.136*-135749.\nAnswer: -18461.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439*b - 439*b - 9*b**3.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 478 + -275. What are the prime factors of r?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*b + 0 - 1\/3*b**2 = 0 for b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 2:48 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 - 2*z**4 + 3*z**4 + 2 + 2 - 2*z**4 - 2 + (90940 + 561*z - 90940)*(-2 - 2*z**3 + 2).\nAnswer: -1123*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/270764 and -33\/83312.\nAnswer: 1083056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -1255*u**3\/2 - 7545*u**2\/4 + 25055*u\/4 + 75\/2 = 0.\nAnswer: -5, -3\/502, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, i: 5}. What is prob of sequence vv?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 13*f + 5. Let z = 13 + -9. Let b be x(z). Find the second derivative of -w**2 + b*w - 52*w - 3*w**2 wrt w.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 203021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 - 554. Suppose 4*y = 3*y + 5*u - 775, 3*y + u + 2277 = 0. Let f = w - y. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 37 + 27 = 0. Suppose -8*h = -x*h + 5*q - 38537, h - 12823 = 4*q. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**9\/o**(1\/8) assuming o is positive.\nAnswer: o**(71\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 32.409.\nAnswer: -129.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 398, 400, 402, 404?\n\"Answer: 2*z + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -8*o + 3. Solve f - 6 + 2 = o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*k = -40*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2. Let d(g) = g**2 + g + 1. Suppose 0 = -4*u - 2 - 2. Let s(a) = 4*a**2 + 3*a + 3. Let n(y) = u*s(y) + 3*d(y). Calculate n(j(t)).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49.3547095 + 72.35470755. Let p = -23 + i. Round p to 7 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2*2 + 19. Let j = -56 - -6. What is the least common multiple of j\/(-4)*x\/10 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1088) - (sqrt(1088) + -1)) + -1 - (-3 + -3 + sqrt(1088) + 0))**2.\nAnswer: -48*sqrt(17) + 1097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1518 and 1881814.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*w = -4, w + 16 = 4*m - 0*w. Suppose 0 = 54*c - 50*c. Suppose a + c*a = 0. Sort a, m, 2 in decreasing order.\nAnswer: m, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 34*a**2 - 59*a + 470. Let z be o(-36). Find s such that -2\/3 - 7\/6*s**4 - 25\/6*s**z + 19\/6*s**3 + 1\/6*s**5 + 8\/3*s = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.284\nAnswer: 1.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p + 7. Give u(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38163 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 85 - -4?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2255.99998539 - 2256. What is j rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m. Let o(a) be the third derivative of 1\/6*a**3 + 0 + 0*a - 1\/60*a**5 + a**2 + 0*a**4. Let n(b) be the first derivative of o(b). Give n(z(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 383805033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1, -6, 0.4, 12, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 533121604 to the nearest integer?\nAnswer: 23089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 7. Let i be v(9). Let x be ((-7)\/(-14))\/(i\/12). What is the common denominator of -47\/3 and ((-2)\/x)\/((-15)\/100)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*j - 3*w, 8 + 12 = -3*j - 5*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*r - 0*w + 575, 292 = 2*r + 2*w. Calculate the greatest common divisor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) 23 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30457, -30342, -30227, -30112, -29997, -29882?\n\"Answer: 115*r - 30572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1001*p - 91169 = -1018*p - 25481. Is p a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**3 + 107. Let o(h) = -2*h**2 - 4. What is q(o(f))?\nAnswer: 12*f**4 + 48*f**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 157611193*a + 63211499.\nAnswer: 157611193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*p + 3838, 4665 + 2969 = 2*a + 4*p. Is 49 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwnnwwnn. What is prob of picking 2 n?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5 + 4*a**2 + 13*a**2 + 17*a**2 - 3*a**2 + 5*a. Is i(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102335 + 3?\nAnswer: -102332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - 1)\/(((-135)\/6)\/(-15)). Let a = -3 - -2. Let i be (0 - (-10 - -11)) + (-2 - -6). Sort 4, i, l, a.\nAnswer: l, a, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t + 15. Calculate v(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 174*p. Let w(u) = -3. Let l(z) be the first derivative of -z**2\/2 - 33*z - 96. Let k(m) = -2*l(m) + 22*w(m). Determine o(k(c)).\nAnswer: 348*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -66, 2, -41\/5, -0.2?\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 15*x - 4. Let l(r) = -17*r + 743. Calculate l(g(c)).\nAnswer: -255*c + 811","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1\/4, -0.5, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/(-24) - 8)\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -m + 1092. Let g = 720 - m. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d - 68. Let z be c(20). Let s(i) = 2*i**3 + 15*i**2 - 16*i - 8. Let v be s(z). Calculate the greatest common divisor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05501 times -0.8?\nAnswer: -0.044008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 14) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-6 - -2) + 2. Suppose m - 2*r = 8, 40 = 3*m + r + r. Suppose -x + m = f*x. Solve 1 - x = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 822.5996 millimeters?\nAnswer: 822599600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/10997680 and -17\/57824.\nAnswer: 285939680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -20*o. Let k(n) = -84*n**2 + 2. Calculate k(u(f)).\nAnswer: -33600*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77982, -155940, -233898, -311856, -389814, -467772?\nAnswer: -545730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 530 and ((-8)\/30)\/((-206)\/16995).\nAnswer: 5830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430.590521 rounded to zero dps?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -170*q - 337. What is k(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29693 + -673.3.\nAnswer: 29019.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 230 = 10. Suppose 60 = 2*j - u. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h + 3. Let j be v(-2). Let o(y) = -y + 2. Suppose -7*b + 8 = -3*b. Let i(d) be the first derivative of d + 1. What is b*i(p) + j*o(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3746460 to the nearest ten thousand.\nAnswer: -3750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4415815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 252*x + 727. Determine g(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 382\/(-4) - 1\/(-2)*-1. Let j = s - -102. Suppose j*f - 56 - 82 = 0. Calculate the remainder when f is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 a, and 2 e when four letters picked without replacement from zaaeeia.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x**2 - 130005*x - 194994 = 0. Calculate x.\nAnswer: -21666, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**5\/20 + 5*a**4\/12 - a**3 - 2*a**2 - a. Let s be 6\/4 + (-3)\/6 + -7. Determine f(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2\/11*r**3 + 80\/11 + 28\/11*r**2 - 8*r = 0?\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ninety-one halves of a year?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 10 + 6 = 0. Suppose -b*g - 23 - 97 = 0. Let h = g - -42. Solve -4*p = -p + h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4539649442 to the nearest integer?\nAnswer: 67377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(175))**2 + sqrt(35)\/(sqrt(15)\/sqrt(3) + sqrt(5)).\nAnswer: sqrt(7)\/2 + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38088.72um to centimeters.\nAnswer: 3.808872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times 64305?\nAnswer: -1028880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417575.\nAnswer: 5, 16703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12493?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (99360\/(-1725))\/((-480)\/750)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2357748094?\nAnswer: 2, 13, 90682619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 - 35. Suppose 0 = -2*n + 4*p + 10, -n + p = -5*n + 11. Suppose -f + c = n*f. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8064) + ((sqrt(8064) + 4*sqrt(8064))*-1 - sqrt(8064)))*-6)\/(-1*sqrt(64)\/sqrt(8) + sqrt(8) - 3*sqrt(8)*3).\nAnswer: -40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**3 - 184*w**2 + 177*w + 1098 = 0.\nAnswer: -2, 3, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 6165.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/3248 and 49\/16.\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 - -0.8. Let l = 822358.999996 - 822362. Let q = j + l. Round q to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, q: 2, b: 2}. What is prob of picking 1 q and 3 d?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6062, -12079, -18096, -24113, -30130, -36147?\nAnswer: -42164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2001)\/((-10)\/(-4) - 4). Suppose -4*t + p = -5*m, 3*t + 0*m + m - 1010 = 0. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(((-67)\/60 - 1) + (-354)\/(-295)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15507, 4, 3, 1, 5, 0 in decreasing order.\nAnswer: 15507, 5, 4, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 359 divide 462709324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 6 - 13 + 31*k)*(-18*k + 18*k - 5*k**2).\nAnswer: -155*k**3 + 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/12*-2*36\/(-108). Let t = -56 + 52. Which is greater: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.219431542 and 3.\nAnswer: -0.658294626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 8 = 3*a, a - 5*x + 8 = 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f3d70 (base 16) to base 3.\nAnswer: 10212000102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 579313206 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 310.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 72 - 6738 = 0. Let p(m) = 32*m - 999. What is the remainder when c is divided by p(33)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -526*b**2 + 19 + 116 - 39 - b wrt b.\nAnswer: -1052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 + 1174*y - 1174*y - 2*y**2 - y**3.\nAnswer: -y**3 + 10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(48) + -5.\nAnswer: -10 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(306))\/sqrt(2) + sqrt(1377) + 1 + (1 + sqrt(1377))**2.\nAnswer: 33*sqrt(17) + 1379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2030.9 + 2031. Which is the second biggest value? (a) 9.3 (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3438 and 1719?\nAnswer: 3438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, q: 2, n: 1, f: 3, s: 4}. What is prob of picking 1 q, 1 o, and 1 f?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -104 (c) -2 (d) 1 (e) 8 (f) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 - (-1 - -46 - 1).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -34, 26.\nAnswer: -34, -3, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/349 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5253465)\/(-40) + -8 + (-2)\/(-32)*6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n + 1. Let g(m) = 6*m + 712. Determine -2*g(o) + 2*l(o).\nAnswer: 2*o - 1422","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -40280*x - 443095. Determine d(-11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7860 + 7860 - 50*b in the form u*b + h and give u.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 4*f**2 - f - 5. Let z be o(-4). Let k be ((-6)\/(-34)*z)\/(-1). Let c = k - -25\/51. Is 0.2 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28586670 divided by -4083810.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 - -3 - -22 - 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -4, -10445, -1, 247 in descending order.\nAnswer: 247, -0.5, -1, -4, -10445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, x: 1, v: 1, q: 1, f: 2}. Give prob of sequence bv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*m + 12*m - 2*m)*(-4*m**4 + 3*m**4 + m**3 - 3*m**3).\nAnswer: -24*m**5 - 48*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ddzjggjdhhdg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/(4\/((-20)\/(-1)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -497 + 513. Solve -5*z = -5*h, 3*z + a = -4*h - h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0.04, -0.2, 3\/11, 167?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14793*t - 14792*t - 2*z = 5, 8 = t - 5*z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*q + 59*q - 28. Which is the second smallest value? (a) q (b) 50 (c) -1\/5 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f = -51. Let n(q) = 4*q - 4. Let j(s) = -9*s + 7. Let h(g) = 3*j(g) + 7*n(g). Let i be h(7). Solve 4*o + 0*u - 5*u - f = i, 3*o + u = 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -2\/13 (b) -0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. Let s(j) = 1193*j**2. Let f(d) = 599*d**2. Let b(u) = -7*f(u) + 3*s(u). Give p(b(o)).\nAnswer: -614*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 22*d**2 + 4*d - 14 - 2*d - 4*d**2 + 4*d - 7*d**2. Let k(y) = 4*y**2 + 2*y - 5. Suppose 0 = -5*u - 2*z - 38, u - z - 7 = 2*u. Give u*k(j) + 3*r(j).\nAnswer: j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**6\/135 + p**5\/45 + p**4\/54 - 2*p**3\/27 - 2938*p. Let q(r) = 0. Calculate r.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 4.44?\nAnswer: -17.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 6)*(-2*d**4 + d**4 - d**4) - d**4 + 0*d**4 - 2*d**4 + 902*d**4 - 98*d**4 + 231*d**4 in the form i*d**2 + n*d + r*d**3 + p*d**4 + v and give p.\nAnswer: 1034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**3 - 2*s**2 + s + 8. Let m(r) = -6*r**3 + 3*r**2 - 2*r - 9. Let h be 3\/(-6)*(12 - 0). Let u(d) = h*m(d) - 7*g(d). Solve u(l) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 13 = 5*x + 5*j, j = -2*x + 1. Solve 3*g + x*h - 1 = -g, 5*h = 4*g + 23 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 286, 290, 294, 298, 302, 306?\n\"Answer: 4*m + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s + 23*s + 62715 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-1 + 3 + -42). Is ((-10)\/z)\/(2\/(-35368)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -3, 3267?\nAnswer: 3267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in -3, -559, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 3*w + 0*w)*(1 - w - 1).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, x: 4, g: 3}. Give prob of picking 2 r.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 p when three letters picked without replacement from {c: 3, p: 1, i: 4}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(66)*2 - sqrt(66)) + sqrt(66))\/sqrt(6).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 11:42 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38495981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8371946 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 + 96. Let x be (-372)\/88 - (1 + -4 - t). Does -1 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -126 + 218. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 11 + 1, 0*i + 193*w = -4*i - 977 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2325220000 rounded to the nearest 1000000?\nAnswer: -2325000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 371738 to the power of 1\/2, to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 625 divide 5156318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -475 + 478. Let n be (2\/(-5))\/((-4)\/(-40)). Let l = -5 + 2. Put l, j, n in decreasing order.\nAnswer: j, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 13130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (4 + -6 - 0 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**3\/2 - 147*y**2\/2 + 12177*y = 0.\nAnswer: -246, 0, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/63 + 333\/81. Let y(k) be the first derivative of 2\/9*k**2 - o - 2\/3*k + 2\/27*k**3. Factor y(p).\nAnswer: 2*(p - 1)*(p + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 4*p - 4. Let v be d(-2). Solve 3*a - 7 + 1 = v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10 + 164\/10. Suppose 0*i + 2*i + 4*z = u, 3*i - 2*z = 0. Solve 4*h - 8 = -4*y, i = y - 0*y + 4*h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - 3*p**3 + 1 + 2*p**2 + 42*p - 41*p - 2*p**2. Let b be (2\/3)\/(2\/(-6)). Is u(b) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 6:44 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -121254.3 and -4.\nAnswer: 485017.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4467.13 - 4498. Let g = 31 + r. Let w = g + -0.12987. What is w rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c - 12. Let k be z(-9). Suppose -3*q + k = -0. Solve -y = -0*y + q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3456, -13691, -30750, -54633, -85340, -122871?\n\"Answer: -3412*y**2 + y - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 22*m + 71. Is o(-23) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4999 + -8670. Suppose 4*a - 46684 = -0*a. Let u = a + p. What is u rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + 5 - 67*z - 5 to the form l + j*z and give j.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -56, 4.91, 0.3?\nAnswer: 4.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w + 5 = 29*w. Let k(q) = 903*q + 4. Is k(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**10*(d*d*d*d**25*d)\/d*d**(-30)*d**36 assuming d is positive.\nAnswer: d**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (18\/(-4) + 5))*-2518 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25541012 (base 6) to base 2.\nAnswer: 11001100011101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, -4, -7, -5, 3 in descending order.\nAnswer: 9, 3, -1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**7\/35 - g**4\/8 + 3*g**3 + 29. Let y(p) be the third derivative of n(p). What is the derivative of y(m) wrt m?\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172096 = 94*p + 169182 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 15\/2, -5, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -2*b**2 + 4*b + 4. Let p(c) = -c + 1. Let x(u) = -k(u) + 3*p(u). Calculate x(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2669, 2602, 2491, 2336, 2137?\n\"Answer: -22*q**2 - q + 2692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3079537 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -7. Let g(r) be the first derivative of 0*r + r**k + 1 - 1\/3*r**3. What is the second derivative of g(d) wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*27\/3*-5. Suppose n + b = 4*n. What is the greatest common factor of 165 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37568 times 0.06\nAnswer: -2254.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z - 18. Let x(i) = -2*i + 18. Let y(h) = -5*c(h) - 6*x(h). Let q be (-264)\/(-30) - 76\/95. Determine y(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73997 divided by 2254\nAnswer: -10571\/322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 64. Suppose -i = -1 - 5. Suppose 0 = 3*x - i*x + c. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p - 1. Let h(j) be the first derivative of j - 2145. Calculate 4*h(f) + s(f).\nAnswer: 4*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 3*x. Let q(d) = 4400*d**3 + 4*d**2 - 12*d. What is 8*i(v) + 2*q(v)?\nAnswer: 8800*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -21*a - 3. Let p(s) = -839334*s**2. Calculate q(p(f)).\nAnswer: 17626014*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -17*o**4\/4 + 13*o**3\/3 - 2. What is the third derivative of t(i) wrt i?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109450, 109459, 109468, 109477, 109486?\nAnswer: 109495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x - 8. Let f(t) be the third derivative of -t**5\/30 + t**3\/3 - t**2. Let v be f(2). Calculate the least common multiple of d(v) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3234?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/9 + 2\/(-12). Let r = -60 + 43. Let m be (-2)\/r + 440\/(-850). What is the biggest value in 0.3, m, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7376 >= -7372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/10 - 2356\/(-760)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6*z - 15. Let v(y) be the second derivative of y**4\/6 - 5*y**3\/3 - 70*y. Let j be v(5). Solve z*c + 0 + 12 = j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-6 - -5 - ((0 - 0) + 5))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 - 3*w**2 - 3*w - 3. What are the prime factors of i(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-49)\/(-686) + (-310)\/28)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353b6 (base 14) in base 10?\nAnswer: 129716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127080 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(77)*1)\/((sqrt(7) + (sqrt(21)\/sqrt(3) - sqrt(7)))*-2) + -1 + 3.\nAnswer: -3*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/2, -0.7, 7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/19)\/g)\/(g\/g**(-13\/3)))\/(g**4*g**(4\/23)))**(-47) assuming g is positive.\nAnswer: g**(640939\/1311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1508\/104*1120\/580.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 12?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4001 > 16003\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 112039697 times 0.3?\nAnswer: 33611909.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 = 4*k, -3*d + 3 = 2*d - 3*k. Let u be 3\/3*d - 14. What are the prime factors of (-3)\/(-2) + (-553)\/u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2059 (b) -6 (c) 2\/7 (d) -2\/27 (e) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1608\/536*(-56)\/6.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4212161 * 5\nAnswer: 21060805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 868539 divided by 2103.\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -7)\/(9\/(-9960)). Round c to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 314*l**2 + 521*l**2 + 483*l**2 in the form q*l + w + s*l**2 and give s.\nAnswer: 1316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 331*t**3 - 4*t**2 - 7*t - 93?\nAnswer: 1986*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.889893l?\nAnswer: 7889.893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/98785?\nAnswer: 3\/98785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(12)*1)\/(sqrt(54)*-5))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8435*k**3 + 15366*k**3 - 8200*k**3.\nAnswer: 15601*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and 0.8938 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41.7 + -39. Let y = -10 + m. Let n = y - -7. Put 0, -2\/9, n in increasing order.\nAnswer: n, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211110211 - -10?\nAnswer: -211110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 0*a + a + 3*a - 2 - 2*a. Let l be t(4). Suppose m - l = -3. Solve 0 = -q - 4*q, -4*q = m*y + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 342, 447, 552, 657, 762, 867?\n\"Answer: 105*k + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 3*w - 5*w)*(-4 + 4 + 1) - 5*w + w + w - 59*w - 516*w + 130*w.\nAnswer: -446*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxwx. Give prob of picking 2 x and 1 q.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 142 + -992\/7. Let x = 9545 - 9546. What is the nearest to -0.1 in z, x, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k - 4*k - 20*k)*(0 + 0 - 2)*(-20*k + 0*k + 2*k - 12*k) as j*k + t + a*k**2 and give a.\nAnswer: -1200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -494720*i - 1156073?\nAnswer: -494720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28\/(-70) - (-19557)\/5?\nAnswer: 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.4137 and 1822.\nAnswer: 13507.7614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - 4*u - 7. Let y(i) = -i**2 + 2*i + 4. Let b = 22 - 20. Suppose -4*z - 30 = b*w, 2*w = 4*z - 3*z. Calculate z*c(x) - 11*y(x).\nAnswer: -x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-456*c + 230*c + 235*c)*(2 - 1 + 0)*(-4 - 1 + 6).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-5)*q)\/(q\/q**(-2\/5)*q))\/((q\/(q**0*q))\/(q*q**3)))**(4\/19) assuming q is positive.\nAnswer: q**(-28\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-27)*d**(-7\/4))**(-41))**39 assuming d is positive.\nAnswer: d**(183885\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Put 5, -148021, 0, 2, -1 in descending order.\nAnswer: 5, 2, 0, -1, -148021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.094, 0.7, 6, -0.05, 2\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19043?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11513 (base 10) to base 7\nAnswer: -45365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v + 2*v + 54 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kks when three letters picked without replacement from {q: 1, l: 1, n: 6, k: 4, s: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 3)\/(-2)*143. Suppose 8*g = q + 673. What is the hundreds digit of 8\/(-12)*g*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8280 - -4a?\nAnswer: -8232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*g - 9. Suppose -12*i**2 + 11*i**2 - g*i + 0 - 2 = 0. Calculate i.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -300830*c**2 - 38*c + 493.\nAnswer: -601660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 20. What is h(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d. Let x(w) = 3*w**2 - 313*w + 57. Give x(s(y)).\nAnswer: 3*y**2 - 313*y + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1689624 divided by 1116?\nAnswer: -1514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 802 or 772?\nAnswer: 772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5 = -0. Let c = 58 - 66. Let j be (9\/(-12) + 1)\/((-22)\/c). Are j and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33*b**4 - 446769*b - 62987981 wrt b?\nAnswer: -132*b**3 - 446769","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 4. Let i be q(-6). Suppose -i*z - 2*z + 16 = 0. Let h be (-2)\/10 - (-3)\/15. Put h, 5, z in decreasing order.\nAnswer: 5, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {w: 2, u: 2, g: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -1. Let h be (2\/(-24))\/(4\/(-12)). Which is the biggest value? (a) 2 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35832 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oogxxgogppoxoxgoog. Give prob of picking 1 p, 1 g, and 1 x.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 0.37, -2\/9?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4168448413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 348?\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 12 = 3*y, -4*y - 14*b + 16 = -16*b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 9:01 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482934 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 16333014.6 hours?\nAnswer: 97220.325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -3*o**4\/4 - o**2\/2 + 19. Let a(m) = m**3 + m. Calculate -2*a(k) - 2*b(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 + -1.5. Which is the biggest value? (a) 0.3 (b) 2\/17 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4) - (35\/20 - 1). Which is the third biggest value? (a) 0.18 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 800*c - 138777768 + 28387698 = 15393130. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4772168924 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.12835 rounded to 2 dps?\nAnswer: -3.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1429 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: Rearrange -56*x**2 + 54*x**2 + 3 + 5*x - x**3 - 3 to the form m*x + b*x**2 + h + o*x**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 18*b**2 + 13*b - 13. Let o be l(13). Round o to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 + 2*h + 68. Determine s(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 48 = -234. Let x = -173 + s. Is 5 a factor of 3\/2*x\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675 is divided by 185.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -617144 (base 9) in base 15?\nAnswer: -73704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -8. Let r = 8 + g. What is the closest to 2 in r, 0.1, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276.75 milliseconds to hours.\nAnswer: 0.000076875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/(-45) + -12)\/(-5 + (-80)\/(-15)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 7.95. Which is the nearest to 0.1? (a) -4 (b) z (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1247*j - 6. Let f be 4 + (-64)\/12 - (-3)\/9. Is w(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93016 and 14256816.\nAnswer: 156824976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 3:23 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 0 - -3)*140\/(-42). Let m(v) = 20 - 2*v**3 + 5*v**3 + 17*v + 14*v**2 - 3*v**3 + v**3. What is the hundreds digit of m(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -24. Let w be a\/(-2)*(-1)\/2*4. Let y(h) = -3*h**2 - 2*h. Let q(g) = g**2 + g. Let k(o) = w*y(o) + 2*q(o). Let u(t) = 6*t**2. Give k(u(p)).\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 427 - 430. Let u = 23.1 + 5.9. Let y = u + -34. Which is the second biggest value? (a) 0 (b) y (c) n (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**2. Let z(a) be the second derivative of 0*a**3 + 0*a**2 + 7\/6*a**4 + 155*a + 0. Determine f(z(i)).\nAnswer: -784*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -6*d**4\/11 - 304878*d**3\/11 + 998280*d**2 - 117149952*d\/11 + 312416256\/11 = 0.\nAnswer: -50849, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - (-403)\/(-155))\/(((-2)\/5)\/(-2)). Solve 3*m - 1 = 6*m + 4*i, -i = -t*m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + (4 + sqrt(99)*-1*-4 + (sqrt(99) - (1 + (1*sqrt(99))**2)) + sqrt(99) + (-2*sqrt(99))**2*-4)*-6.\nAnswer: -108*sqrt(11) + 10089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 22*j - 17*j. Let w = 415560 - 164146368\/395. Let n = w - -2\/79. What is the biggest value in n, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 10 = -5*d, -4*d - 6 = 3*t - 0. Let p be t\/4*4 - -10. Let c(v) = -v**3 + 9*v**2 + 12*v - 1. Is c(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 10. Suppose 3*v - 4*v = 3. Which is the smallest value? (a) 0.5 (b) p (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 11*c**2 - 39*c + 37. Calculate a(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -2*v**3 + v**2\/2 + 6*v. Calculate a(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.887 and -0.48.\nAnswer: 0.90576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 + 2*y - 2*y)*(-39 + 2*y + 39) + (-1 - 2 + 1)*(4*y**5 - 2*y**5 - y**5) + 8*y**5 - 15*y**5 - 3*y**5.\nAnswer: -14*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1992926, -1992923, -1992920, -1992917, -1992914, -1992911?\n\"Answer: 3*p - 1992929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-324)*3*((-20)\/5)\/1\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2805, -5610, -8415, -11220?\n\"Answer: -2805*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a = s - 18, -14 = -4*a + s. Suppose a*o - 48 = -5*f, -o + 4*f = -18 + 6. Solve -3*w - 13 = 5*i + o, -w - 11 = 3*i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from {x: 6, m: 4, s: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/75 of a hour?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**2. Suppose -159225 = 33*k - 48*k. Let o(j) = 19*j**2 - 10615*j + k*j. Calculate l(o(y)).\nAnswer: 1805*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115 + 487. Let b = 581 - v. Is (-4)\/(-14)*b + 12\/42 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81771 by -3.\nAnswer: -27257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1249.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) -16 (c) -4 (d) 7\/34 (e) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5439 divided by 259\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*(-1 + -3). Suppose 3*i + w*b - 6 = 2*i, i - 4*b - 24 = 0. 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 comes next: -1124904, -1124906, -1124908, -1124910, -1124912?\nAnswer: -1124914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, v: 1, f: 7, l: 4}. What is prob of picking 2 l?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*b - 18 = 3*b, 0 = -3*b + 6. Let a(t) = 8*t**2 + t. Let f be a(2). Suppose 5*v - 11 = f. Solve 5*c + r = 4*x - x, 4*x = 3*c + v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 1\/3 (c) -0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11044, 11053, 11076, 11119, 11188, 11289, 11428, 11611?\n\"Answer: d**3 + d**2 - d + 11043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3, 14, 0.2, 2\/5, 12 in ascending order.\nAnswer: -3, -0.2, 0.2, 2\/5, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 3424845.\nAnswer: 10274535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*y + 140 = 120*y. Solve g = y*g - 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -897*p - 891*p + 2672*p - 905*p.\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*a**3 + 3805381*a**2\/2 + 2187*a = 0.\nAnswer: -4374, -1\/870, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -322242*557\nAnswer: -179488794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -3 + 5 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.882 + 0.623. Round g to one dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 133 and 42?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5007.93 - -5008. Which is the third biggest value? (a) -6 (b) -2 (c) p (d) -3\/7 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -880*c + 8859. Determine r(10).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71306822?\nAnswer: 2, 79, 451309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.502601159 to five decimal places.\nAnswer: -0.5026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -44 - ((7 - 22) + 11) - (-1 + -9).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - 0. Let f = -0.5 + -7.5. Let p = f - -10. Which is the nearest to -0.2? (a) 3 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**4\/11 - 3580*q**3\/11 - 1576794*q**2\/11 + 2054920*q - 7248472 = 0.\nAnswer: -902, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -14*f**3 - 2*f**2 - 13*f - 9. Calculate m(-2).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -14 - 6 - 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12293?\nAnswer: 19, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 26*h - 7. Let w(n) = 13*n - 3. Let p(k) = -4*s(k) + 7*w(k). Let l(o) = 3*o - 8*o + 2*o - 6*o + 5. What is -7*l(i) + 5*p(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -109 + 101 + (-3 - (1 - 34))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 9*h**2 - 4*h + 4. Give a(-6).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 2. Let c = h - 2. Calculate the greatest common factor of 10 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 77, -112, -623, -1618, -3259, -5708?\n\"Answer: -27*i**3 + i**2 - 3*i + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31230, 31258, 31286, 31314, 31342, 31370?\nAnswer: 31398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 9*k + 7. Let n = -75 + 77. Let w be 1 - 12\/1 - n. Is m(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, k: 2, h: 5, g: 1, n: 6, t: 2}. What is prob of picking 3 n?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 282407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6390640 and 38930.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 2:55 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-12)*(f*f*f*f**(3\/22)*f)\/f*(f\/(f**(8\/7)\/f))\/(f**(-8)\/f) assuming f is positive.\nAnswer: f**(153\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 7*d**2 + 4. Let y(a) = 3*a**3 - 20*a**2 + 11. Let z be (-3 + -3 - 8) + 6. Give z*p(n) + 3*y(n).\nAnswer: n**3 - 4*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 11, -1162, 35 in descending order.\nAnswer: 35, 11, 1, -2, -1162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11029842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 3)*(-462*t**2 - 425*t**2 + 182*t**2 + 41 - 40) in the form z*t**2 + y + q*t and give z.\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -173cc (base 15) in base 3?\nAnswer: -10211001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/10 + 16609*f\/5 - 275858881\/10.\nAnswer: -(f - 16609)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -451?\nAnswer: -6\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 6:27 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8643470?\nAnswer: 2, 5, 11, 78577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o. Let f(n) = -10 - 8 - 22*n + 18. Calculate f(d(h)).\nAnswer: 44*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.06, -0.5, 0.1, 5, -3\/2, -10\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 374829071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*5*(-5)\/(-25). Let z = 6 + -10. Put q, z, 1 in ascending order.\nAnswer: z, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/9 (b) 81 (c) 549\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three fifths of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 6. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-91392)*-136)\/((-146)\/14)?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57260 divided by -10.\nAnswer: -5726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uswouuuuwfwf.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 26 (b) -2\/3 (c) 5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 18 = -3*d, 239*w = -21*d + 236*w + 99 + 26 - 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13572?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -g + 5*h - 20, 0 = 3*g + 3*h - 12. Let c be -1 + 1 + 0 - g. Suppose c = 5*t - 39 - 1. Solve u - z + 6 = -2*z, -t = 3*u + z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001000001 (base 2) to base 9\nAnswer: -1440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2986\/13 + -32872\/143. What is the third biggest value in 4, -28, -0.2, r, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 217 - 3362. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -10*t**2 + 3*t - 2. Let u be -2 + -2*(-3)\/6 - -3. Determine f(u).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -15 (b) 7 (c) 121 (d) -3\/47 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d**2 - 528*d + 5890. Calculate j(13).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - 0)*(2 + -3). Let g(a) = 4*a**2 + 2*a - 2. Let u be g(-2). Let s be (-4)\/u*10\/3. What is the closest to -0.1 in -0.3, s, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13589 - 28?\nAnswer: 13561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i. Suppose 7*z - 20 = -3*z. Let x(u) = -25*u + u**z - 24*u + 49*u. Calculate w(x(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9621567001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 574 + 30603. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5070501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - 3*q**2 + 2. Let u(a) = a**3 + a**2 - 1. Let v be (2 + -3)*2 + 1. Give v*u(o) - f(o).\nAnswer: -3*o**3 + 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(17) + -1 + sqrt(68) + -2 + ((1*sqrt(85)*2 - sqrt(85))\/(sqrt(5) - ((sqrt(80) - sqrt(80)*-1 - sqrt(80)) + sqrt(80))))**2.\nAnswer: -375\/49 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -544 and 612668.\nAnswer: -333291392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r = -15. Let m(h) = -2*h + 8 + 252*h**2 - 114*h**2 + 4 - 9 - 137*h**2. Calculate m(r).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 1.18029313\nAnswer: 4.72117252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-710 - 772 - 715 - 194214*y + 2197)*(-2*y**2 - 3*y**2 + 3*y**2)*(-2*y + 3*y - 3*y).\nAnswer: -776856*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 568 or 569?\nAnswer: 568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-54)\/36*(-4)\/6. Let m be 4 - (-3 - (2 - a)). Solve 0 = -5*w - 3*k + m, -4*k - 8 = w + w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*v + 10, 4*f - 23 = 3*v. Solve -f*c - 19 = d, -4*c - 5 - 15 = -4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7446014*z**2 + 6488098 wrt z?\nAnswer: 14892028*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -69bcc0 (base 13) to base 4\nAnswer: -21211010312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**2 + 4*q + 4. Let a be z(-3). Suppose 2*u = x + 38, 2*u - a = u + 5*x. Calculate the greatest common factor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*v - 15914048 = 0, -4187060 = -8*t - 2*v + 27641054. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -29. Let u be 10\/55 - d\/22. Suppose j + 2*j = 3*i - 162, u = 2*i + 4*j - 120. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Suppose 92*b - 88*b = -52, -5*m = -5*b - 85. Solve o = m*w - 0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-5)\/(-1) + (-5 - (1 - 2)) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/7)*t*t)\/(t**(-1\/5)*t) assuming t is positive.\nAnswer: t**(27\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 13) in base 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f - 4. Let a(h) = -h**3 + 14*h**2 - 11*h - 17. Let r be a(13). Let b(m) = -m + 2. Give r*b(k) + 4*i(k).\nAnswer: 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 = 1. Let g(a) = -98*a**3 + 3*a**2 + 2*a - 3. Let o(k) = -99*k**3 + 2*k**2 + k - 2. Let z(x) = -2*g(x) + 3*o(x). Does 21 divide z(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -403*h**3*v**2 - 7*h*v**2 - 6*h*v - v**2 wrt h?\nAnswer: -2418*h*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 3 (c) -2\/63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**3\/2 - 15*x**2 - 21*x\/2 + 27 = 0. Calculate x.\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 202963883.\nAnswer: 202963883.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 473775 and 8660607.\nAnswer: 216515175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*w - 85. Let v = w - 5. Calculate the greatest common factor of 30 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-25)\/10 - (-840)\/112. Solve m*a - 3*g - 3 = 0, 9 = 3*g + 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 359 = 4*t, 4*w - 433 + 113 = 5*t. Solve 25*d - 25 = w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*l - 27, -4*s - 2*l - 2*l = -28. Suppose -z = 3 - s. Which is the nearest to z? (a) 0.3 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/12*(-30)\/100?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.326, 5, 1\/8.\nAnswer: 1\/8, 0.326, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 41 = p - 25, 4*p - 264 = j. Is 10 a factor of (p\/(-18))\/((-1)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4903692?\nAnswer: 2, 3, 23, 109, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 11 - 3 = 4*x, -j + 3*x = -13. Suppose j = -4*t + 114. Find the second derivative of -844 + t*r**2 + 844 - 41*r wrt r.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -53.\nAnswer: -24\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 5)*(-31 + 52*c + 31) in the form s*c + o and give s.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(5\/3)*y**(-1))\/((((y\/y**(-15\/4))\/y)\/y)\/y**(-2\/19)))**(2\/45) assuming y is positive.\nAnswer: y**(-499\/5130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 4:45 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u**2 + 4*u - 9. Let h be q(-4). Let g = h - 102. Let c be (g - 3\/3)*1. Solve c*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t\/(t**(-6)\/t))))\/t)\/t)**(-1\/24) assuming t is positive.\nAnswer: t**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5398786497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 13*a. Let x(g) be the first derivative of g**3\/3 + 3. What is x(w(c))?\nAnswer: 169*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8602952809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29657.\nAnswer: 47, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 4826 - 4821 + 9629.\nAnswer: x - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25162 - 24945. What is the highest common divisor of 8 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - b - 1. Suppose 0 = h - 3*z, 2*h + 2*z = 5*z. Let x be q(h). Let i be 31\/(-37) - -3*2\/6. Which is smaller: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 101*u**2 + 6*u + 4. Let c be j(-3). Are c and 1791\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174.1271 litres in millilitres?\nAnswer: 174127.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - 4*z**2 - 5*z**2 - 1 - 3*z**4 - z**2 as b*z**4 + p*z + l*z**3 + i*z**2 + m and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 62*i - 10*i)*(9*i**4 - 7*i**4 - 11*i**4) - 2*i**5 + 9*i**5 - i**5.\nAnswer: -489*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pip when three letters picked without replacement from {r: 3, p: 2, i: 2, d: 5}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*w - 32. Solve -4*u + 8 = -w*i - 5, 5*i = 5*u - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Let g(r) = -r**3 - 2*r**2 + r - 1. Let c be g(-2). Let d = -5 - c. Sort d, -0.3, s in descending order.\nAnswer: s, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(133)\/(3*sqrt(7)*3) - (sqrt(76)*4*2 + -2))**2.\nAnswer: -580*sqrt(19)\/9 + 399799\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/(-126) - (0 + 22\/(-12)). Solve -3*o + 4 = -2*g - y, 5*g = -o - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (20 - 4) - -4 - (-3 + 3 + -3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4 - 20270*i**3 + 385517*i**2 + 527394*i - 2434680 = 0. What is i?\nAnswer: -20289, -3, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 10505*z = -5246*z - 5254*z - 130, 2*a = -13*z + 52 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8953 = -3*m - 8914 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 22*h**3\/3 - 5*h**2\/2 - 2*h - 33. Let o = -9 + 6. Is t(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*m = 44*m - 95. Suppose g = -5*r - 3, -4*g + 26 + m = r. Let d be (-14)\/3*(-72)\/28. Calculate the greatest common divisor of d and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 9:50 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*g = -8*q + 4743, -g = 1. List the prime factors of q.\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -205039 * 0.1\nAnswer: -20503.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 h when three letters picked without replacement from {q: 2, n: 1, h: 1, k: 1, r: 1, z: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 14 = 2*k. Suppose 0*s - g = s - k, s - 31 = 5*g. Suppose -19 - s = -5*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58.279 - -2713.821. What is m rounded to the nearest ten?\nAnswer: 2770","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 7*h**2 - 4*h + 2. Suppose 0 = -0*m + m - 3. Suppose m*a = 5*i - 15, -3*a = 3*i + 17 - 50. What are the prime factors of u(i)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uku. What is prob of picking 1 u and 1 k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 = 2*l, -2*i - 72*l + 61 = -67*l. Solve -2*y = 3*h + 2, 0*h = -h + 4*y + i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166365 and 720?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 621 - 623. Let l = -78 - -81. Put 7, l, -4, r in descending order.\nAnswer: 7, l, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00841221329 to 7 decimal places.\nAnswer: -0.0084122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - -4647?\nAnswer: 4657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 444310 and 2264.\nAnswer: 1777240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49297? (a) -1\/8 (b) -2 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3 - r**3 + 0*r**3 + r + 0*r**3 + 3*r**2. Let u be (6\/11)\/(-7 - 948\/(-132)). Give s(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*3\/30)\/(((-520)\/(-4700))\/26).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 699\/12*(-2 + 118)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40 + -17*(-1786)\/(-799). Determine w so that -6\/5*w - 1\/5*w**u + 7\/5 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126069547*z**3 + 382127555*z**2.\nAnswer: 756417282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 22 = -5*y, 4*v + 29*y = 38 + 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert cec8 (base 15) to base 8.\nAnswer: 125476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 c when four letters picked without replacement from bccccjcccccjbbbj.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*p**2 - 3*p**2 + 83*p**2)*(-19*p - 6 + 20*p - 42).\nAnswer: 62*p**3 - 2976*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1552 + 1693. Let h(w) = w + 9. Calculate the remainder when b is divided by h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 242*z**3 + 413*z**2 + 4*z - 1922.\nAnswer: 1452*z + 826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*z**5 + 14*z**5 + 3*z + 9*z**5 + (3*z - z + 0*z)*(3*z**4 - 5*z**4 + 4*z**4) - 2*z**5 - 3*z**5 + 6*z**5 - 4*z**5 + 3*z**5 - 3*z**5.\nAnswer: -11*z**5 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 244 and 60329.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -211*b + 398526 + 6594. Calculate the greatest common factor of 48 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, -2\/71, 0.5, 1947 in descending order.\nAnswer: 1947, 0.5, -2\/71, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4829*n**3 - 2 + 2330*n**3 + 2 + 35319*n**3.\nAnswer: 32820*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 262824*w - 37751*w + 0.\nAnswer: -300575*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17162 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 - 43 = -8*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 8*p**2 + 6*p - 8. Let r(g) = -g**3 + 2*g**2 - g + 2. Calculate -n(f) - 4*r(f).\nAnswer: 5*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-24))\/(8\/24)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -42.4. Let w = 1.8 + z. Which is the closest to w? (a) -1\/2 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1450.8 - 1451. Let m be ((-1)\/2)\/(-5 + (-205)\/(-40)). Which is the nearest to w? (a) 5 (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29126\/218445*4\/(-2)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-126)\/(-26) - (-12)\/78. Suppose 0 = -n*o + 7*o + 8. Put 0, o, 7 in decreasing order.\nAnswer: 7, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 706360*l**3 + 2416003*l**2 wrt l?\nAnswer: 4238160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 1 (b) -5 (c) 0.6 (d) -1\/4 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 166541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*(sqrt(76) - -1*(sqrt(76) + (sqrt(76) - 2*sqrt(76))))\/(sqrt(20)\/sqrt(5)*-6))**2.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 - 3*r - 3. What is the units digit of s(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5173.270174 + 5171.1. Let o = u + 2.17. What is o rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 4*p**7\/7 + p**3\/3 - p - 79. What is the third derivative of k(g) wrt g?\nAnswer: 480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4\/11, -0.17, -1\/6?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31923\/22, 35, -3.\nAnswer: -31923\/22, -3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4788313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/307, 2, 6?\nAnswer: 2\/307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5, -v + 5*l + 5 - 4 = 0. Let d be (-48)\/26 + (-4)\/v. Let m = 1280 + -1276. Sort -5, d, m in ascending order.\nAnswer: -5, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l + 15*l - 6*l. Let p(f) be the first derivative of f**3\/3 + 1. Determine p(s(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 151*m - 146*m + 22, m = b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1156*f**3 - 17*f**2 + 11*f**2 + 6*f**2 + 1178*f**3.\nAnswer: 2334*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4784 - 4780. Solve -4*t + i = z, 8*t - 10 = 7*t + 2*z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1\/104 (b) 15 (c) 8 (d) -4 (e) -0.5 (f) 93 (g) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -72 (b) -2\/13 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*d = 100*d. Suppose 4*g + 19*g - 46 = d. Are 30\/47 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) - (-20)\/6. Suppose 15*b - 10 = 5*b. Suppose -b = 47*w - 46*w. Put p, 1, w in decreasing order.\nAnswer: p, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*y - 119*y - 93*y - 13*y - 21*y + 0 + 2.\nAnswer: -207*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(684)*-2 - (2*sqrt(475) - sqrt(475))**2*-3.\nAnswer: 48*sqrt(19) + 1425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1*sqrt(95))\/sqrt(5) - (sqrt(19) + -1 + 5 - sqrt(19)))**2.\nAnswer: -8*sqrt(19) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 21*j - 8. Let f be b(12). Let a = 69 + f. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 32304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(4800) + sqrt(4800)*-1 + 1)*-2)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 367\/2 - 6243\/34. What is the nearest to -1 in -2\/23, -1\/5, m?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 138, 136, 134?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -3 - (-1 + 2 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1. Let z(d) = 6*d + 18. Let s(t) = 9*b(t) - z(t). Let j be s(9). Let f = -43 - j. Solve 2*u - g - 2 - 3 = 0, 5*u + 5*g - f = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124949921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -165*m**3 - 464954*m**2 + 3558*m - 62909 wrt m.\nAnswer: -990*m - 929908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 321623726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-148)\/(-111)*3\/2. Put 0, t, 3 in descending order.\nAnswer: 3, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17*(2 + -1) - -2. Suppose y - g - 113 = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - u**3 - 3*u**3)*(-u - 3*u + 3*u) - 7*u**4 - 18*u**2 + 18*u**2 + 4*u**4 - u**4 - 2*u**4.\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24581754601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6611587\/86 + 76878. What is the common denominator of h and -29\/22?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 949*s + 194. Let c(x) = x**2. Calculate c(f(l)).\nAnswer: 900601*l**2 + 368212*l + 37636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136 + 930. List the prime factors of y.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 511*f + 3402 + 2421 + 2864 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 87.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154 + -155. Let b be 395\/(-100) + 4 + (-3)\/(-15). What is the closest to -2\/5 in 4, b, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + s - 16 = -2*i, -s = 2. Calculate the remainder when (-8)\/((2 + 0)\/(-4)) is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 2*s = -0*s + 6, 4*t + 4*s = 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 48. Suppose y*h = -10*h + 70. Solve -10 - h = -5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let m(k) = k. Suppose 0 = 5*l - 4*g + 26, 4*g = -2*l + g - 15. Suppose -12*w + 834 = -942. Let a = w + -141. Give a*m(n) + l*o(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-1)\/(-15))\/((-1)\/1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = f - 1. Let h = -4 + 4.4. Which is the third biggest value? (a) -3 (b) h (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 1. Let n = -9215 - -18890. Is (i\/3)\/(15\/n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-75)\/27 - (-4)\/(-18). Let v = q + 6. Suppose 2*p = p - 4*k + 14, 53 = 5*p + v*k. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7383?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 118 = 4*p - 9*p, -3*c = 5*p - 126. Suppose 0 = 7*r + p - 66. Let o = 75 - 45. Calculate the highest common factor of o and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 158.99 in 2, 6499, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 10. Let q(d) be the third derivative of d**4\/24 - 11*d**2. Let i(o) = -2*q(o) - y(o). Let n be i(8). Solve 3*z - n*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 p when four letters picked without replacement from lpplpl?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/7 + 12\/(-42). Let b be (-1 - (-6)\/g) + 1. Factor 38*q**2 + 8 + 4*q**5 + 12*q - 4*q**5 + q**5 + 25*q**b + 16*q + 8*q**4.\nAnswer: (q + 1)**2*(q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*a + 3 - 25 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 16*r**3\/3 - r**2 - 2*r + 1084. Give i(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.19049 - 0.29049. What is the biggest value in 3\/7, 7\/2, m, -3\/56?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3764 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Let s(w) = -i*w + 4*w + 0*w. Let h(l) = -2*l**2 - 5*l**2 + 5*l**2. Give s(h(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (32\/14 - 2) + (-4422)\/(-154) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. Suppose -8 = 5*c - 33. Let x = c - z. Calculate the remainder when 5 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.112.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 714 and 1134.\nAnswer: 19278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8187535 or 8187534?\nAnswer: 8187535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53205 - 6205. What is h rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/14 and -59\/11111838?\nAnswer: 77782866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152800?\nAnswer: 2, 5, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203987, -407975, -611963, -815951?\nAnswer: -1019939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -8 (b) -2 (c) 26 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 213 + -211. Sort -2, -2.4, w in decreasing order.\nAnswer: w, -2, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, -298, -446, -594, -742, -890?\nAnswer: -1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20303021021 (base 4) to base 5.\nAnswer: 1042303013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -17*i**6\/120 - i**5\/30 + i**4\/24 + i**3\/3 - 11*i**2. Let q be r(-1). Solve q = -5*y + y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -2148, -872 in decreasing order.\nAnswer: 5, -3, -872, -2148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-7) - (-12)\/7. What is the common denominator of (-74)\/(-14) + 1\/c and -3 - -2 - 35\/50?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -11f048b?\nAnswer: -11f0490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4660 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 2*u - 3*u + 9*u + 9*u.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0664 - -0.07521. What is s rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56 + 16 + 17 - 2*o + 21 - 49*o**2 + o**4 + 0*o**4 in the form i*o**4 + z + g*o**3 + p*o**2 + m*o and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -216*v**2 - 528*v**2 - 47*v**5 - v**6 - 319*v**2 wrt v?\nAnswer: -120*v**3 - 2820*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.1 + 19. Let n = -4.1 - k. Let y = 1 + -2. Which is the third smallest value? (a) y (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (188\/235)\/(34\/20). Suppose 0 + 6\/17*c**3 - t*c**5 + 4\/17*c - 14\/17*c**2 + 16\/17*c**4 = 0. What is c?\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 19 = 4. Let t = c + 8. Let o be 136998 - (-5 + -2 + t). What is o rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17240\/32 + -1*(-6)\/(-8). Suppose -5*x + 152 = -t. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235 divided by -1?\nAnswer: -1235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5961 divided by -3\nAnswer: -1987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/10)\/(1\/(-60)). Calculate the greatest common factor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 8 - 1 - 25 + 5.\nAnswer: -3*p - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, n: 1, g: 2, x: 1, v: 2, u: 1}. Give prob of sequence rvu.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 51, 65, 0.3, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 - -71. Calculate the common denominator of -115\/108 and ((-2)\/(-4)*s)\/(-4).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 17*g + 77. Let q(y) = 12*y + 52. Let k(v) = 7*q(v) - 5*t(v). Let d(a) = -5*a. Calculate d(k(u)).\nAnswer: 5*u + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0, 2.7, 2\/9, -1, -6\/17 in descending order.\nAnswer: 2.7, 0.3, 2\/9, 0, -6\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36 - 9*t - 4*t + 10*t)*(-106*t + 609*t**2 + 610*t**2 - 1221*t**2) to the form u*t + l + f*t**3 + r*t**2 and give u.\nAnswer: -3816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*a**2*f**2 - 5*a**2*f*m**3 + 3*a*f**2*m**2 + 28*a*f**2 - a*f*m**3 + 2*m**3 wrt a.\nAnswer: -60*f**2 - 10*f*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 12*b + 6. Determine t(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72205140 a multiple of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 167, 160, 147, 128, 103?\n\"Answer: -3*o**2 + 2*o + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 3*n**2 - 2*n + 1. What is the units digit of m(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 695*r**2 - 2857*r + 11. Determine v(4).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1920\/4080*1666\/(-14).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -60. Suppose 21*x = -11*x + 1216. Calculate the highest common divisor of x and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + sqrt(1331) + 3)*2)**2.\nAnswer: 704*sqrt(11) + 10776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 0 + -2 - -1. Let t = -6 - -5. Which is the closest to u? (a) t (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19093068 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001755 to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, 1, 5.\nAnswer: -8, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0034599 rounded to 5 dps?\nAnswer: -0.00346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 598 divide 4831840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhna when four letters picked without replacement from {n: 2, h: 7, a: 2}?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 14 = y, 2*d + 5 = 5*y - 19 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33117, -66235, -99351, -132465, -165577, -198687?\n\"Answer: x**2 - 33121*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30420 + -30417. What is the nearest to 0.04 in -3, 1\/5, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + j**2 - j - 1. Let z be r(-1). Suppose -5 = 3*t - z*t. Let f(v) = v**3 + 5*v**2 + 6. Let y be f(t). Solve y + 0 = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 0.1 (b) 43 (c) -0.05 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 853*x - 853*x + 3*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11464235 (base 7) to base 4.\nAnswer: -3322011002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(1 - 2*h - 1 + (-4*h + 3*h - 5*h)*(-1 - 5 + 1)) to a + j*h and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**4\/4 + 233*g - 3. Let f be c(0). Let k = f - 3327\/14. Find the common denominator of k and 65\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*(sqrt(153) - 4*sqrt(153)) + (sqrt(153) - -4*sqrt(153)*-2))\/((-1*(sqrt(27) + sqrt(432)))\/(sqrt(72)\/sqrt(6))).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 12:56 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + 124b?\nAnswer: 123b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2228 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17 - -17)\/(-1 + -1). Let u(d) be the second derivative of 7\/24*d**3 + 1\/4*d**2 + 1\/120*d**6 + k + 1\/16*d**5 + 2*d + 3\/16*d**4. Factor u(f).\nAnswer: (f + 1)**3*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 + -56. What is the least common multiple of z and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -553470860.97747?\nAnswer: -553470861.47747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 89090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(5\/(-2)))\/(19 - 17). Which is the fourth smallest value? (a) 0.5 (b) i (c) 22 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*a**2*u**2 - 79*a**2*u - 10*a*u**2 - 2*a*u - 8 wrt a.\nAnswer: -12*u**2 - 158*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-3 + 3 - n)*(-91*n + 8*n + 49*n)*(8 - 1 + 13 - 7).\nAnswer: 884*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-27) + (1\/(0 - -11))\/((-1040)\/(-2860)).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2. Let a(r) = 52*r + 798 - 798. Calculate z(a(v)).\nAnswer: -2704*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 4*i**3 - 49*i - 410*i**2 + 410*i**2.\nAnswer: -4*i**3 - 49*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18353828 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5135, -5140, -5145, -5150?\n\"Answer: -5*t - 5130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s**2 + 8*s - 3. Let p(u) = -6*u**2 - 7*u + 3. Let i(o) = -4*c(o) - 5*p(o). List the prime factors of i(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/22412897?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1478873 and 0.093.\nAnswer: -1478872.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4235)*-3)\/(sqrt(14)\/sqrt(98)).\nAnswer: -231*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5909345 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from {k: 9, t: 4, v: 1, p: 1, m: 2}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.149 + -220.851. Let h = 225 + f. What is the third biggest value in h, 13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 43*f + 20. Let g be q(20). Let l = g - -2277. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -109, -110, -89, -34?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n - 3*n)*(-n + 1 - 1) + 6*n**2 - 2*n**2 - 3*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 3*r + 12. Let l(a) = -2*a**2 + 21*a + 18. Let s be l(11). Let y be q(s). What is the greatest common factor of 20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -506, -4461, -15174, -36023, -70386, -121641, -193166?\n\"Answer: -563*k**3 - k**2 - 11*k + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0914068089 rounded to 5 dps?\nAnswer: 0.09141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0152 and -0.02.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -393 divided by 3?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20547.3*0.133.\nAnswer: 2732.7909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5\/11)\/k*k**(-7)*(k*k**(-10))\/(k\/k**(-25)*k) assuming k is positive.\nAnswer: k**(-489\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5417, 11405, 17375, 23321, 29237?\nAnswer: 35117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(o**3*o)\/o*o**4*o\/((o*o\/(o*o**(-3\/2)))\/o)*o*o\/((o*o\/(o\/(o*o**(-3\/4)*o*o*o)))\/o) assuming o is positive.\nAnswer: o**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2510 and 96886.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2354 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 18*n**2 - 10*n + 44. Determine f(18).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 89*i - 1. Suppose 2*c - 4*t + 10 = 0, 3*c = -c + 2*t - 2. Let y be u(c). Suppose 18 = 2*s - y. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2424215 + 112?\nAnswer: 2424331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5184 - -5406. Calculate the remainder when w is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*f**4 + 55*f**4 + 96*f**4)*(4 - 2 + 0).\nAnswer: 400*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9071, -9066, -9049, -9014, -8955, -8866, -8741?\nAnswer: -8574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 11. Let l be m(-8). Let v = -15 - -19. Is v less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 572 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3\/2, 0, -1.7, 2 in decreasing order.\nAnswer: 2, 0.4, 0, -3\/2, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614105 is divided by 1574?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(23\/11 - 2). Let i be 5\/1*2 + 2. Suppose -5*z = -67 + i. Calculate the greatest common factor of z and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24.992 - -0.192. Round v to zero decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10156 - 62.\nAnswer: -10218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 350701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbq when three letters picked without replacement from blqbmnznnnnb?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) 4\/7 (c) 46.4 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.946 (b) -0.4 (c) 18 (d) -2\/7 (e) -0.0028 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 134.\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b - 4*b - b**2 + (-2 + 3 - 2)*(0 + 0 - 2*b**2) - 3*b**2 - 7*b**2 + b - 3*b.\nAnswer: -9*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**2 + 10*i**2 + 4*i**2)*(-2 + 0 + 3)*(-4*i**2 - i**3 + 4*i**2 + (-2*i + 1 - 1)*(1 - 2*i**2 - 1)).\nAnswer: 27*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(117)*-6)\/(sqrt(54)\/(sqrt(24)\/sqrt(4))).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.7, 3\/8, 28?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-7*(-6)\/504.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -10 (c) 0.1 (d) -116\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(19)*2 + -1 - ((sqrt(95)*-1)\/sqrt(5) - sqrt(19))) + (-2*(sqrt(684) + 0 + sqrt(684) + sqrt(684)) - (5*1*sqrt(684) + sqrt(684))) + 3)**2.\nAnswer: 87856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Suppose 3*o + 0*f = 4*f - j, 5*f = 3*o - 2. Let v = 5 + o. Do v and 1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine thirds of a week?\nAnswer: 97440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 621 + -12?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -3\/1882, -3, 5, -2\/3, 0.1?\nAnswer: -3\/1882","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 64 = -3*d, -1838*d = c - 1836*d + 36 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r - 6. Let b be x(-8). Let c be ((-16)\/b)\/(-2)*30\/20. Factor -2\/3*j**3 + c*j - 2\/3*j**2 + 2\/3.\nAnswer: -2*(j - 1)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -373787.58 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 1\/42*w**4 + 0 - 2\/21*w**3 - 2*w + 1\/7*w**2. Factor v(z).\nAnswer: 2*(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**33*b)**(-44)*b**(7\/5)*b*b**(24\/7) assuming b is positive.\nAnswer: b**(-52156\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3777860?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*g = -4*a - 36, 4*g + 28 = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 9) + (-2 - -6)*(-8664)\/(-608)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79932?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 2. Let q(t) = 1. Let k(n) = 4*q(n) + x(n). Let f(h) = 3. Let b = 5582 - 5584. Give b*f(j) + 3*k(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92450\/3 - 2\/3*y**2 + 860\/3*y = 0 for y.\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38, 179, 416, 749, 1178, 1703, 2324?\n\"Answer: 48*b**2 - 3*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/8*s**2 - 37488675\/8 - 10605\/4*s = 0 for s.\nAnswer: -3535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**3 - 5*y**2 + 5*y - 5. Let f(u) = u**3 + u**2 - u + 1. What is 5*f(c) + x(c)?\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 5. Let n be 10 - ((-1 - (3 - 2)) + 5). Give c(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16571, -33641, -51209, -69275?\nAnswer: -87839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49\/104? (a) -3 (b) 9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in -5\/6, -83, -0.2, 2.2, -4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**6\/120 - h**5\/12 + h**4\/8 + 2*h**3\/3 - 3*h**2. Let s be y(4). Solve 3*i + 4*m = s, 0*m = 5*i + m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**5 - 115*n**4 + 305*n**3 - 85*n**2 - 310*n + 200 = 0. What is n?\nAnswer: -1, 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34098 is divided by 359?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1760, -3460, -5148, -6818, -8464, -10080?\n\"Answer: x**3 - 1707*x - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 35.47989 years?\nAnswer: 425.75868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + h**2 + h + 25. Let l be k(0). Is 4870\/l*(-20)\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35098984.\nAnswer: 2, 73, 60101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.46, 2\/23 in decreasing order.\nAnswer: 2\/23, -0.46, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b + 5167?\nAnswer: 51b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4590 divided by 30.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 601114001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4 + 22*m**3 - 153*m**2 + 324*m = 0 for m.\nAnswer: 0, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {p: 5, n: 11}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 396 and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.52 - -10. Let n = 15\/49 + -173\/245. Put 1, n, d in decreasing order.\nAnswer: 1, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 12*s**2 + 14*s + 15. Let w be p(-13). Let a be 1\/(1 - w\/3). Solve a*n - n = 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8182 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 4*f + 11. Solve 5*d = -22 + f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuoulkp. Give prob of picking 1 u and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 43638 = -14*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 * 0.8.\nAnswer: 0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5048, -5058, -5090, -5156, -5268, -5438?\n\"Answer: -2*t**3 + t**2 + t - 5048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.916664 meters?\nAnswer: 391.6664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*m + 9, 0 = -3*u - 2*m - 24. Let x(o) = 4*o**2 + o - 4. Let r be x(5). Let g = r + u. Does 19 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -754*i + 36 = -753*i - 4*f, -2*i - 32 = 5*f. Solve -i*q + 40 = 72 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 57, -5, 0.8, 0.332?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**4\/12 + 4898*w. Let i(n) = 5*n + 572. Give i(t(u)).\nAnswer: -5*u**2 + 572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:09 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14404 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -12527?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o + 7. What is the smallest common multiple of a(1) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 plus -0.00722?\nAnswer: 18.99278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (2 - 43 - -101) + -47?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 0*a**2 + a**2)*(-2 + 2 + 4*a)*(2*a - 1 + 1) + (3*a**3 - 2*a**3 + 0*a**3)*(-1 + 9*a - 11 + 9).\nAnswer: 17*a**4 - 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 27 = 21*w - z + 2*z, -3*w + 3*z + 3*z = 5*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25691601 to the nearest integer?\nAnswer: 5069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*b - 27*b**4 + 24*b)*(4*b - 2*b - 4*b) + b**5 - b**5 + 12*b**5 - 53*b**2 - b**3 + b**5 + 3*b**5 + 52*b**2.\nAnswer: 70*b**5 - b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -111, -382, -827, -1440, -2215, -3146?\n\"Answer: j**3 - 93*j**2 + j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -0.1, -1\/640, -4, 3 in descending order.\nAnswer: 3, 0.05, -1\/640, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 8 = -2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**5 - 4*t**5 + 2*t**5 + (4 - 4 + t)*(t**4 - t**4 + t**4) - 4*t**5 + 3*t**5 + 3*t**5 + (0*t**4 + 2*t**4 + 3*t**4)*(0*t + t - 3*t) + t**2 - t**2 - t**5.\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/20318 and -17\/3682?\nAnswer: 37405438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -10*j**2 - 60*j - 175. Let s(l) = 11*l**2 + 60*l + 174. Let w(k) = 6*q(k) + 5*s(k). Find v such that w(v) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**2 + 6*g + 5. Let r(k) = -3*k**2 - 4*k - 3. Let x = 3 - 3. Suppose 0 = -x*w - w - 8. Let c(y) = w*r(y) - 5*z(y). Factor c(b).\nAnswer: -(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-12)*-2*5. Suppose 25 - 23 = s. Is s greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v - 4. Let z be i(2). Let r(a) = -1 + z + a - 5. Let t be r(6). What is the second biggest value in -0.2, t, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8))\/((-15)\/6)*(-49)\/49.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-1 + -4) - -2. Let r(n) = 79*n + 140. Let f be r(c). Calculate the greatest common factor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -3)\/((-6)\/2286). Let d be (968\/16 + 3)*-6. Are d and u unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 24 (c) -3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -927, -1841, -2755, -3669, -4583?\nAnswer: -5497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o - 3 + 3. Let r(a) be the third derivative of a**7\/2520 + 13*a**5\/20 + 2*a**2 - 5*a. Let j(w) be the third derivative of r(w). Calculate j(i(u)).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8905\/1370 - (-1 + 8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-3 - 148\/(-48)). Let p be n\/(-32) + (-2)\/8. Suppose p*l = 6*l - 48. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 81.8812 millennia?\nAnswer: 818.812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = c. Suppose c*u - 1 = r + r, -4*u = -3*r. Let a(v) = -7*v**2 + 2*v - 5. Let k(g) = g**2 + 1. Let o(t) = -a(t) - 6*k(t). What is o(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*w + 84 wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 14 = -4*g, 3*g - 8*g = 5*d - 25. Let n be d\/4*-2*(-20)\/(-15). Let b be 3442\/4 + 1\/n. Round b to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1 - 2)*1. Let n = 3.87 - 3.35. Let x = -0.42 + n. What is the biggest value in -2\/9, s, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 5. Let x be c(0). Suppose -x*u - 2*m + 226 = -u, 0 = -m - 1. Suppose 3*y - u = -0*y + 3*r, 2*y + 5*r = 3. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 17*z**2 + 15*z - 22. Let c be t(10). Calculate the greatest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 224400?\nAnswer: 224382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 48191*k. Let z(v) = -v. Give x(z(f)).\nAnswer: -48191*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-5))\/((-17)\/85).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 439549 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3 = -0. Suppose -6*k + k - 5*w = 25, 5*k = 3*w - 1. Let i be 1 + -1 + k + 2. Are d and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -21875\/11353 and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s + 0 - s + 0 + 3*s**4 wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40d159 (base 16) to base 14.\nAnswer: -7c80d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 31*z**2 - 28*z - 44. Let h = 452 - 422. Let a be n(h). What is the third smallest value in a, 3, 1\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 242\/3 - 81. Suppose 0*x + 4*h = 2*x + 4, -4*x = 3*h - 3. Let c = 42 + 7. Put x, c, a in increasing order.\nAnswer: a, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -368990?\nAnswer: 73798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 612*r**3 - 80*r - 486*r**3 + 1096*r**3 + 3*r**2 in the form g*r**2 + s*r**3 + k*r + n and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nybynyyyynyyynnyn. Give prob of picking 3 y and 1 b.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1763629805*l**4 + 1514312030*l**3 + 326186705*l**2 + 483780*l + 180.\nAnswer: 5*(7*l + 3)**2*(2683*l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -4 + (53 - 76).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -91*h + 1. Let i(k) = 174*k - 3. Give 6*i(v) + 11*n(v).\nAnswer: 43*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 917.7155kg to nanograms.\nAnswer: 917715500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24143975 divided by 1?\nAnswer: -24143975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 74 + 24940?\nAnswer: 249b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Suppose f = j + j. Solve -4*w + 5 = 3*s - j*w, 4*w - 45 = 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 361 - 11490.\nAnswer: -11129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (0 - 0\/(-3) - (166 - 69)). Solve -17*p + f = 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*b + 18*b**4 + 86*b + 3*b**4 - 2*b**4 + 0*b**4 + (-1 + 1 - b)*(-b**3 + 2*b**2 - 2*b**2) in the form l*b**2 + n*b + j + m*b**3 + k*b**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 6. Let l be k\/((12\/(-220))\/3). What is the third derivative of l*j - 3*j**2 - 15*j**5 - 550*j wrt j?\nAnswer: -900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*x - x + 84 - 496*x**2 - 5*x + 9 + 4*x wrt x.\nAnswer: -992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 29 = -w. Suppose -3*q = -4*u - 4, -q - 3*q + 8 = -4*u. Suppose 0 = -u*t + w*t. Solve 0*s + 2*s + 3 = -j, -s = t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1174 = 34*i + 89*i + 917 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -49700 divided by -5\nAnswer: 9940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*i - 242*i + 4*h - 6 = 0, h = -3*i - 30 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**5 + 9379*t**4 + 6*t**2 - 1284*t.\nAnswer: 60*t**2 + 225096*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5 + 35. Suppose 0 = k*y - 3*y - 24. Let r(c) = 15*c - 3. Let w be r(5). Calculate the highest common factor of w and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6 - 8*c + 12*c - 7*c**4 + 2*c + c**3. Let q(s) = 13*s**4 - 2*s**3 - 11*s - 11. Suppose 0*x + 24 = 4*x. Let l(a) = x*q(a) + 11*k(a). Factor l(p).\nAnswer: p**3*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6477 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4363780.\nAnswer: 2, 5, 37, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 6*n - 7. Let w be t(6). Let z be 21\/(-18) + (-4)\/12. Which is the third smallest value? (a) z (b) -2\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 60*w - 596. Let h be y(10). Solve o - h = -2*b, 4*o = 7*o - b + 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 7*j - 16 = 3*j, 3*j + 22 = -2*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 337852 to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*s, c + 4*s = -c. Suppose c*v = -3*v + 18. Solve 0*z + a = z - v, 4*a + 17 = -3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/((y**(2\/3)*y)\/y*y*y)))\/(y**(1\/2)\/y))\/(y**(-2\/3))**(-26)*(y*y**0)**28\/((y\/(y*y**(-1\/5)))\/(y*y\/(y**(1\/2)*y*y)*y)) assuming y is positive.\nAnswer: y**(212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114970?\nAnswer: 2, 5, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6627 - -6397. Does 44 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edffefddefdefff. What is prob of picking 1 e, 1 d, and 2 f?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikxknssiskkkk. Give prob of sequence ksix.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 494979319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61195?\nAnswer: 5, 12239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1749068870 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-288) - 382\/(-24). Let c = -32 - -34. Solve -8 = c*p - n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 22116*b + 44231. Calculate k(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x - 4. Let n be m(-3). Let j be 12\/3 + (2 - n). Calculate the greatest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1546491 is divided by 7062?\nAnswer: 6975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2\/9 (c) -0.5 (d) -6.485\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-4)\/(-9)))\/((-17)\/(272\/(-3)))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -15?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 2*v**2 + v + 6. Determine q(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 0) + 3 - 4 - -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*y + 32*y**3 + 15*y - 1 - 4*y**3 as p*y**2 + h*y + u*y**3 + q and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 26b7c (base 13) to base 2\nAnswer: 10001101001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 0 + 1\/3*l**3 + l**2 - 1\/60*l**5 + 0*l + 0*l**4. What is the derivative of z(i) wrt i?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 10064*u + 1344. Let f be i(-6). What is f rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/23 - 328*n\/23 + 613752\/23 = 0 for n.\nAnswer: -642, 478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (8 - (1 + 1) - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -33687651?\nAnswer: 33687631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 2*q**3 - 6*q**3 + (6*q - 2*q - 2*q)*(2 + 2*q**2 - 2) + 0 + 0 - q**3 in the form d*q + f*q**3 + a + u*q**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -950.1 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3217644 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2332395226 to the power of 1\/2, to the nearest integer?\nAnswer: 48295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 15*q + 59. Let p be s(-3). Suppose -46*r = -53*r + p. Solve u + r - 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -23. Suppose c*l + 82 = -4*z, -6*z = -11*z + 4*l - 96. Let o be -150*z\/3*-30. Round o to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 4*r**2 - 4*r + 4. Let k be u(-5). Let h = 17 + k. Let y(p) = p**3 + 7*p**2 + 4*p - 3. Calculate the remainder when h is divided by y(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16985438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**2 + 4*b - 4. Let w(h) = h**2 - h. Suppose -91*v + 90*v = -2*l + 5, -3*v - 3*l = -3. Give v*q(n) - 3*w(n).\nAnswer: n**2 - n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61485723 and 1053?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*2*50\/20. What is the tens digit of (-2)\/((-23)\/5 - v) + 441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 38 + 134 = 2*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -47*o**3 - 14*o + 17. Let y(t) = 5*t**3 + 9*t**2 - 16*t - 11. Let n be y(-3). Let r(z) = -16*z**3 - 5*z + 6. Give n*r(p) + 6*f(p).\nAnswer: -10*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*u + 7545 = 2141 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 1 = 27. Suppose h + 2*w = -1 - 6, 2*w = q*h - 16. Which is the fourth biggest value? (a) 0.1 (b) -2 (c) -0.3 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*m**3 - 2 + 335*m**3 + 2.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 12. Let d be k(6). Suppose d*x + 84 = x. Suppose r + 3*m - x = -23, 2*r - 149 = 3*m. List the prime factors of r.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 9 + 23. Suppose 0 = -l + 3*l - 8. Suppose -k - r + 56 = 0, -l*k - 2*r = -76 - 144. Calculate the remainder when k is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v - v - 4*v + 5*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(550) - sqrt(550))\/sqrt(11))\/(sqrt(490)*-1 + sqrt(10))*5)**2.\nAnswer: 125\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 75. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259352?\nAnswer: 2, 17, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w + 17. Determine h(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1906?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + -14. Let n = -33 - a. Let u be n\/(-5) + (-14)\/35. Calculate the greatest common factor of 4 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p = -15*p - 41706. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 4*s**2 + 17. Let z be v(-5). Let j be z + 14 + 141\/(-24). Let -1\/4*k**2 + 0 + 0*k + j*k**3 = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 10001001001110001100100?\nAnswer: 10001001001110001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5154 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -54*(6\/(-9) + -1). Suppose 3*l - b = -2*l. Suppose l = -t - 5*h - 0, 56 = -4*t - 4*h. What is t rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-3)*20\/16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2387\/2 - 1268. Let n = -184\/3 - p. Find the common denominator of n and 53\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 2:57 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x = 2*b - 39*x - 660, 3*b - 5*x = 940. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 593*v - 4 + 10.\nAnswer: -593*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -132 + 127. Let u = -0.83 + -0.27. Let z = 0.9 - u. What is the third smallest value in 3\/7, -0.1, z, m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19074 and 2?\nAnswer: 19074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134*l**6 - l**2 + 26?\nAnswer: 16080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 + 88 = 3*f. Does 35 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 93, 187, 263, 291, 241, 83, -213?\n\"Answer: -5*y**3 + 21*y**2 + 66*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 7. Suppose 2*o + 2 = n*o. Solve -5*s - 2 = 4*t + o, 5*t + 5 = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.4 + 8. Suppose 0 - 3 = -z. Let g be (z + 29\/(-9))*-6. Which is the second smallest value? (a) -1 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 12:38 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 5. Let s = 5 - -2. Let x be k(s). Suppose -x*v + 0*b + 10 = -3*b, 0 = -2*b + 4. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -237654*y**2 - 1956*y - 489. Let r(t) = 974*t**2 + 8*t + 2. What is -2*b(x) - 489*r(x)?\nAnswer: -978*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-3))\/((-2)\/18). Suppose 0 = -3*h + o - 3. Let p = -100 - -102. Which is bigger: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-4))\/(11\/((-1056)\/(-36))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14634462 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12627 = -o - 4*f, o + 11*f - 13*f = 12639. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -5\/6 (b) -1 (c) -0.4 (d) 9 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441876 is divided by 63123?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.4, 5, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 439381*j*p**3 - 166*j - p**3 + 3786 wrt p.\nAnswer: 1318143*j*p**2 - 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -10*k - 7. Calculate o(-9).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 21. Let n(t) = t - 11. Suppose 0 = 8*f + 15 - 71. Let x(p) = f*n(p) - 4*l(p). What is x(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 181594\/12 + (-8)\/(-48) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 j, and 1 x when four letters picked without replacement from oxxxdrodojjkxrr.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -2)*(-2 + 1). Let q = -1 - d. Let a(s) = -s + 39. Let h be a(q). What is the highest common factor of 26 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8139258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 754968.2 centimeters to micrometers.\nAnswer: 7549682000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.0005 + 0.0605. Round u to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -184, 1, 4, -1, -5, 31, 5 in descending order.\nAnswer: 31, 5, 4, 1, -1, -5, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -271452?\nAnswer: -271456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3406)\/1834*8\/52?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*t + 6*t - 12, -5*m + 20 = 4*t. Let s(a) be the first derivative of 1\/3*a**3 + 2*a**2 - 7 - a**m - a. Solve s(v) = 0 for v.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 11 = -k, 4*h - 1728 = 5*k. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 5, d: 3, n: 8}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-189))\/(1 - (-7)\/(-3))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 553 = 2*u, 3 - 2 = -c. Suppose -3*a + u = 4*z + 111, 248 = 5*a - 4*z. What is the greatest common divisor of a and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31519?\nAnswer: 43, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -11*d - 13. Let r be q(-6). What is the greatest common factor of 265 and r?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2 = -2*q, 5*q - 6 + 20 = 3*s. Sort q, -1, -0.02, 2 in ascending order.\nAnswer: q, -1, -0.02, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 25. Calculate the remainder when 32 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2, -7435, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (88\/16)\/(1\/6) - 5. Suppose -270 = -b*i + 19*i. Suppose 5*f = 5*k - 75, 3*f + 32 = 2*k - 3. Calculate the highest common divisor of k and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/3 - 2210*z**2\/3 + 53528*z + 747840 = 0. What is z?\nAnswer: -2280, -12, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -25*v**3 - 20*v + 20. Let w(u) = -2*u + 9. Let i be w(4). Let h(y) = y**3 + y - 1. Calculate i*q(k) + 20*h(k).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.208 - -18.20790621. Round s to 6 decimal places.\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 2*d**2 + 6*d - 1. Let r be l(-3). List the prime factors of (-276)\/r + 6\/15.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 880.6144ml?\nAnswer: 0.8806144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.057, 77, 0.4.\nAnswer: -0.2, -0.057, 0.4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/3 - -19\/21. Does y = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005213 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/2793744 and -101\/62640?\nAnswer: 13968720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 23*v - 76. Let i(z) = -34*z**2 - 63. Let l(h) = 4*h**2 + 7. Let c(p) = -2*i(p) - 18*l(p). Calculate j(c(t)).\nAnswer: -92*t**2 - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*1199.\nAnswer: 239.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 267 and 979.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 625 and 750.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*h + 4619, p = -68*h + 63*h + 4607. Let r = -11980\/13 + h. Solve 4\/13*q**2 - 2\/13*q**5 - 6\/13*q**4 + r*q + 2\/13 - 4\/13*q**3 = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2773 minus 0?\nAnswer: -2773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 1357 = -166*t + 2723 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -3857, 5 in increasing order.\nAnswer: -3857, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 72. Let m(n) = -n**3 + 6*n**2 - 5*n + 4. Let s be m(4). Let j = -1 + s. Calculate the remainder when k is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 6. List the prime factors of 28 - (-3 - (-3 - k)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1986424?\nAnswer: 2, 11, 22573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrggvra. Give prob of picking 2 r, 1 v, and 1 a.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 350677 = -2*v - 350802, -5*a + 2*v = 51 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezeiezbkiezbbek. What is prob of sequence bb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y**2 + 2561*y - 9753. Determine r(362).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*w + 2*u, 4*w + 0 = 3*u + 23. Suppose -w*y + 11 = -4*y. Let a(i) = i**2 + 3*i. Let n be a(-3). Solve y = 2*g - d, 3*g - d + n*d - 14 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2 + w - 8)*(-2 - 1 + 5)*(1 + 1 + 1)*(-4 + 3 - 3).\nAnswer: 24*w + 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/325803605 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**3 + 5*j**2 - 38*j + 50. Calculate w(6).\nAnswer: 1082","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - 2.6. Let x = -20 - -12. Let j = s - x. What is the closest to 1\/3 in j, -4\/5, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/16 and -117\/56?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 184 + -181. Let v(r) = -r**2 + 23 + 3*r - 23. Give v(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 i when three letters picked without replacement from iiinq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 2:20 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13927\/5 - -2786. Suppose 5*w = -4*c - 30, 2*w = -2*w + 3*c - 55. What is the third smallest value in w, 1, g, 2\/21?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p - 1. Let c be d(3). Suppose 3*o + c*l + 5 - 14 = 0, 4*o = -3*l + 23. Let i(x) = x**3 - 6*x**2 - 11*x + 1. What are the prime factors of i(o)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112874?\nAnswer: 2, 56437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 + 4*z**4.\nAnswer: z**4*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12974650 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-8)*10 + -4. Suppose 2*u - x = u. Suppose -n + z + 93 = 0, -2*z + 83 = n - z. What is the greatest common divisor of u and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 49.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/12 and (220\/12 - -4)\/((-24)\/(-3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 64, 0, 1, -177, -4, 5\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 0*b**4 + 0 - 71*b**2 - 1\/3*b**3 + 0*b**5 - 77\/120*b**6 + 0*b. What is the first derivative of n(c) wrt c?\nAnswer: -231*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (936\/(-90))\/(6\/615). Let c = w + 1071. Solve 2*z - c*k = -7 - 5, 2*k = 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1020 = -7*f + f. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 2, f: 1, g: 2, p: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3593 = 12*b - 149*b + 517 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 62*m - 45*m - 140 = 734, -5*y + 285 = 5*m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -91\/51 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*i - 494*i + 4*h - 44 = 0, 6*i + 5*h - 104 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1+900456074681\nAnswer: 900456074680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 86 - w - 86.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8))**(6\/17) assuming d is positive.\nAnswer: d**(-48\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from {g: 1, f: 4, t: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -0.3, 7, 0.073, -4 in increasing order.\nAnswer: -4, -0.3, 0.073, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -63, -100, -161, -252, -379?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -4*d**5 + 2*d**4 - 633*d**3 + 656. What is the third derivative of c(g) wrt g?\nAnswer: -480*g + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/374 + 1501\/1870. Which is the fourth biggest value? (a) 2 (b) 5 (c) -11 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*v + 3, -5*z + 5 + 0 = -5*v. Solve -3*m - 3 = -5*r, 2*m = -3*r - z*m + 25 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -16, 13902 in increasing order.\nAnswer: -16, -2\/9, 13902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 44*j + 40.\nAnswer: 4*(j + 1)*(j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208988 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145197 is divided by 3162.\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 + 22*a**2 + 8*a**2.\nAnswer: 41*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -65, -175, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 - 101. Let i(q) = 2*q**3. What is 2*i(z) - s(z)?\nAnswer: 2*z**3 + 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*w. Put 2\/3, 0.2, w, -1 in descending order.\nAnswer: w, 2\/3, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -14*u + 145. Let v be o(0). Suppose 49 + 169 = c. Let l = c - v. Is 28 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 17*k**2 + 55*k - 27. Let n be a(13). Let z = -32 + 40. Solve 0 = -n*y + z*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 11*g**4 + 32*g**3 + 21*g**2 - 8*g + 8. Let o(j) = -4*j**4 - 11*j**3 - 7*j**2 + 3*j - 3. Let w(t) = 3*i(t) + 8*o(t). Factor w(h).\nAnswer: h**2*(h + 1)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - -2.6. Let t = 3 - n. Let p be (182\/28 + -9 - -4)*-2. Which is the closest to t? (a) p (b) 3\/2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52699 divided by 5\nAnswer: -52699\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(252) - -1*sqrt(252)) + 2*sqrt(252)*-2 - -5*sqrt(252)*1*-6)**2 + 3)*4*-6.\nAnswer: -6193320 + 18432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -3*j + 8, 2*r + 4 = -3*j + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -96514 and -340992.\nAnswer: -437506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22159, -22110, -22071, -22048, -22047, -22074, -22135, -22236?\nAnswer: -22383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43653*d**2 + 32257*d.\nAnswer: 87306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36070*a*s - 3*a - 3554 wrt s.\nAnswer: -36070*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3aba19 (base 12) in base 2?\nAnswer: -11101101110111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -35.67646 and -38447889.\nAnswer: -38447924.67646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225 and 21150?\nAnswer: 21150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 4*x + 5 - 12)*(15*x**2 + 13*x**2 - 16*x**2) as z + l*x**3 + h*x**2 + a*x and give l.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001112 (base 3) in base 10?\nAnswer: 19724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1490 - -1518. Put -1, -5, 1, w in decreasing order.\nAnswer: w, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56243?\nAnswer: 11, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 6, -0.4, -12.2, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 18\/5 of a hour?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 13*a**2 + 11*a + 16. Let w be (5\/(-5))\/((-3)\/36). Let j be t(w). Solve 0 = 5*o + 4*k + 14, 0*k = j*o - 5*k + 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91658 + 102803. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u = -268688 - 227337. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 178, 214, 264, 328?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*i - 36 = 0, 5*l + 5*i - 57 = 33. Suppose 3*d + 0*d = l. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 + 3 + 10 - (-1625 - -1674)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -37, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2412 - -19241\/8. Find the common denominator of (-2)\/(-8) + (-3 - 0) and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-24)\/o)**(-12)*o\/(o**33\/o*o*o)*o\/(o*o\/(o*o\/o**0)*o*o) assuming o is positive.\nAnswer: o**266","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -5*t**2\/2 - 4*t + 134. Let c(n) = -6*n - 6. Let k(l) = -2*c(l) + 3*x(l). Let u(d) = -56*d. Give u(k(v)).\nAnswer: 168*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.06 (c) 1\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -36082, -36139, -36202, -36277, -36370, -36487, -36634, -36817?\n\"Answer: -f**3 + 3*f**2 - 59*f - 36025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134\/3 - 45. Let g = -4632.3 + 4632. Sort g, -0.4, 0.2, a in decreasing order.\nAnswer: 0.2, g, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*q**3 + 5*q**5 - 6*q + 35*q - 11*q**3 wrt q?\nAnswer: 100*q**3 + 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34128 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**3\/9 + 79*s**2\/3 + 6241*s\/3 - 32. Let n(f) = 0. Calculate f.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72692204 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42 - -30*(-6)\/36. Solve -72 = 7*c - x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 + 1.3999999. What is n rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -7*q + 8*q. Suppose 0 = -0*z - q*z + 244. What is the remainder when z is divided by (-23 + (-1980)\/(-100))*(-12 + 2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12450000)\/(-1*(-4)\/(-8) + 1). What is z rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 56595804*z**2. Let u(g) = -5*g**2. Give u(h(j)).\nAnswer: -16015425152032080*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from {x: 3, r: 2, z: 2, b: 2, j: 4}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 z, and 1 a when three letters picked without replacement from salmzvzsm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 v when four letters picked without replacement from vcvchvcdcpvvcm.\nAnswer: 100\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-86)\/(-408) - ((-10)\/(-16) - (-18)\/(-48)))*6\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*q = -190 - 416. What is the closest to 1 in -0.02, 2, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/((v*v**(-18)*v)\/v))*v)\/v*(((v*v**(-7))\/v)\/v)\/v)**(-9\/13) assuming v is positive.\nAnswer: v**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/((-4)\/(-6)))\/1. Let i = -621\/5 + 124. Put g, 1\/7, i in decreasing order.\nAnswer: 1\/7, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -1083458?\nAnswer: 1083463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 44656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(720) - 2*sqrt(720))\/(sqrt(196) + 1*sqrt(196) + sqrt(196) - sqrt(4)) - (sqrt(40) + 1*(sqrt(40)*1 - sqrt(40)))\/(sqrt(392)*-1)).\nAnswer: -3 - 11*sqrt(5)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197\/322830 and 49\/172176.\nAnswer: 2582640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.70579 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5895 and 842985?\nAnswer: 842985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3*f - f)*(-2 + 0 - 1)*(51*f - 1024 + 1024).\nAnswer: -153*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 2 = -4*w. Which is bigger: -3\/14 or w?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207, -793, -1777, -3165, -4963?\nAnswer: -7177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*o + 6*o + 39. Suppose 0 = -4*k + 5*p + 39, 5*p + 11 = 3*k - 22. Let b = 2 - k. Sort 0, o, b.\nAnswer: b, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 8)*((-5)\/(-10) - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -206*a**4 - 7*a**2 + 6*a**2 + 65 + 194*a**4 wrt a.\nAnswer: -48*a**3 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 6*s**2 + 2. Let o be y(6). Let c = -4 - -50. Calculate the remainder when c is divided by -1 + 3 + o*7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from {m: 1, s: 2, l: 1, x: 7, i: 3, t: 4}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -0.3, 0.0226 in decreasing order.\nAnswer: 3\/7, 0.0226, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -37*g**2 - 853*g - 51. What is n(-23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**0)**(-27))**35 assuming z is positive.\nAnswer: z**(-945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-240)\/1)\/(-2 + 3). Let w be k\/(-9) + (-3)\/(-9). Let h = w - 18. Solve -h = -3*x - 0*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 308, 593, 882, 1175, 1472, 1773?\nAnswer: 2078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t + 3*d + 44 = 2*t + 147, 5*d = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5\/6 (b) -167 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -140*5\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**3\/5 - 1764*g**2\/5 - 15828*g - 30240 = 0.\nAnswer: -40, -2, 630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/12*2*0. Suppose -p + 59 = -d*p. What are the prime factors of p?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-165)\/297*27 - -36\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -260*l**3 + 2*l**2 + l - 2. Let k be r(1). Let n be (13 - k\/(-21)) + 79\/3. Let v = 4 - -104. What is the highest common factor of v and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -31 - 2\/(2 + 0). Calculate the common denominator of (-101)\/(11 + 99\/(-11)) and (26\/v*-22)\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224916134.\nAnswer: 2, 9187, 12241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*(0 + sqrt(2448) + -1 + -1)*5 + 2.\nAnswer: -300*sqrt(17) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 2, 2\/7 in decreasing order.\nAnswer: 7, 2, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 102\/(-816) + (-1)\/((-8)\/33) + 149. Solve 2*d - v = -159 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1147 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -12*j + 3. Let i(h) = -12*h + 3. What is 4*i(o) - 3*w(o)?\nAnswer: -12*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -37947 greater than or equal to -37949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16664 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*l + 57 + 39 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 7*q. Suppose -w + 2 + 22 = q. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*6\/(-9660)*-3. Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 minus -6846114782094?\nAnswer: 6846114782096.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 4, -4\/9, -33, 476?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15103 + -14873. What is the highest common divisor of d and 1250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and -841?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m. Let y(v) be the third derivative of -13*v**4\/12 - 6*v**2 + 1. Determine y(w(j)).\nAnswer: 52*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 14*z**2 + 14*z + 9. Let a be j(15). Which is smaller: a or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 474*f + 4. Let s(q) = -2. Let w(b) = -2*s(b) - t(b). Suppose w(p) = 0. What is p?\nAnswer: 0, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13, 70, 151, 244, 337?\n\"Answer: -2*a**3 + 24*a**2 - a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -d97be75?\nAnswer: d97be72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 185513985 to the power of 1\/4, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9697 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 73 + 25 = 0. Solve 0 = -u - 3*u - m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 4*t**2 - t - 6. Let b be y(-3). Sort -3, b, -4 in decreasing order.\nAnswer: -3, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -8, 8, 40, 94, 176, 292, 448?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 - s**2 + s**2 + (4*s**3 + 3*s**3 - 6*s**3)*(2*s**2 - s**2 + s**2) + 14*s**5 + s - s.\nAnswer: 15*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(2\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -251 or 453\/1544?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*(-1*sqrt(110) + sqrt(110) - sqrt(110)) + sqrt(110) + -1*(sqrt(110) + sqrt(110)*2)))\/((sqrt(10) + sqrt(360))*-1 + (sqrt(20)*1)\/sqrt(2)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -200 - -110. Let q = n - -98. Suppose 328 = -w + 3*w + 5*b, 0 = 4*b + q. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 + d**2 - 1. Let n(t) = -30*t**3 + 22*t**2 - 16. Give -48*f(y) + 3*n(y).\nAnswer: 6*y**3 + 18*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11547.6 - 10666. Let u = -882 + l. Let n be ((-3)\/2)\/(1\/2). Sort u, n, 14 in decreasing order.\nAnswer: 14, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 18*a**2 + 8*a + 18. Let s = 80 + -84. What is the tens digit of g(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 10:14 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*y = 14 - 4, 4*u + y + 17 = 0. Let n = 4.1 + -4. Let q be (6\/(-7))\/3*-1. Which is the third smallest value? (a) u (b) q (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -16 - (1 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 1. Let t(l) = 6. Let v(b) = 4*d(b) - t(b). Let c(k) = -3*k - 2. Give -3*c(j) + 2*v(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2397 <= -7.95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, 1, 54, -3, -17.\nAnswer: -17, -3, 1, 54, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = 15*r - 5211. List the prime factors of r.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 at least 588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154891641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 5. Let i be v(-7). Let o = 32 - i. Is 13 a factor of o*(-2)\/6*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624304 is divided by 1312.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -6*w + 20. Let q(x) = -4*x**2 - 9*x. Let h(s) = 2*s**2 + 4*s. Let t(k) = w*h(k) + 4*q(k). Calculate t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9286686239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61*r**2 + 50*r**2 - 7 - 103*r**2)*(-20*r**2 - 4*r**2 - 16*r**2) to the form m*r**3 + f*r**4 + s*r**2 + d + z*r and give f.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 205098847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 - 2 = 0, -4*p = -x - 6. Suppose 3*q + p = -2*q - o, -4 = -5*q - 3*o. Let h be 11\/9 + q + (-22)\/99. Solve -5 = -5*d - h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 + 94. Let w = j + -319\/2. Which is the third biggest value? (a) w (b) -0.1 (c) 1\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 0, -2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 36*m**3 - 7*m**2 - m + 33. Let r(k) = 31*k**3 - 6*k**2 - k + 34. Determine -6*c(q) + 7*r(q).\nAnswer: q**3 - q + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z - 11954 = -11784 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*c + 5*n, 3*n - 4*n - 7 = -2*c. Suppose -8*k + c*k = -100. Let g = k - 16. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1243944\/(-45))\/(-12) - 2\/(-5). Suppose -h = -4*z - 5*z. What is z rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28942?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286 = -488*p - 2238 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 9*t**2 + 11*t + 3. Let i = -50 + 60. Let d be h(i). Let y(m) = d*m + 0 - 6*m**2 - 4 - 19*m - m**3. Determine y(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -325051.2 rounded to the nearest 1000?\nAnswer: -325000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 23\/24*f**4 + 0*f**6 + 0*f**5 + 0 + 0*f**3 + 0*f - 18*f**2 + 2\/15*f**7. What is the second derivative of z(p) wrt p?\nAnswer: 336*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.45 minus 9.77?\nAnswer: -11.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 33. Solve -4*q + g*q = 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2816 and 71226624?\nAnswer: 783492864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 5:50 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(85)*-4)\/((sqrt(720) - (-1*sqrt(720) - sqrt(720))) + (sqrt(180) - (sqrt(180)*2 + sqrt(180) + sqrt(180)))).\nAnswer: 16*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r - 2*r + 4*r. Let n(t) = -2*t + 3*t - 5*t + 3*t. Calculate n(x(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 803 divided by 5076.\nAnswer: 803\/5076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.098 + 0.198. Sort -8, 0.4, o, 5, 0.2 in descending order.\nAnswer: 5, 0.4, 0.2, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 4. Let w(l) = -l + 8. Let y(t) = 2*b(t) + w(t). Let s(m) = -5*m. What is y(s(p))?\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/334059 and 145\/6336.\nAnswer: 64139328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4548*s + 63665. Calculate b(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 5:30 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 31641227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 788788.2 kilograms?\nAnswer: 788.7882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 3*b**2 + 2*b - 1. Let t(u) = u**3 - 2*u**2 + 4*u - 4. Let o be t(2). Suppose -v + 35 = 5*m + 4*v, o*m - 24 = -3*v. Give d(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10519 divided by -1.\nAnswer: -10519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 129828457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 5*r**2 + 6*r + 28. Let x be o(-6). Solve x + 57 = -17*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1954 = -4*f - 1974. Which is the biggest value? (a) -1\/2 (b) -859 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 5*l + 1. Let a(b) = -9*b + 5. Let w(k) = -4*k + 2. Let i(s) = 3*a(s) - 7*w(s). Let f be i(4). Determine v(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.2 + 12.9. What is the third biggest value in 4, r, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 448 + 72. Suppose -h + 9*h = v. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1932 - 1932. Factor -242\/5*d - 2\/5*d**3 + 44\/5*d**2 + q.\nAnswer: -2*d*(d - 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1808 and 7119.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 6*c - 10. Let n be b(4). Calculate the common denominator of (n\/40)\/(27\/272) and -20\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 5:50 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49203, 49306, 49487, 49752, 50107, 50558, 51111, 51772?\nAnswer: 52547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-2 + 1)) + (-2 - 12) + -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 3*h + 15 = -2*f, -3*f = -5*h - 40 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*i - 425796. Suppose -i = -9*j + 42740. Suppose -10046 - j = 4*t. Round t to the nearest one hundred.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19060, -26103, -33146, -40189?\nAnswer: -47232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6111153.39 rounded to the nearest 100?\nAnswer: 6111200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 11 - ((63 - 54) + -4)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 6*y - 2. Let s be o(-4). Let u = -6 + s. Let -3\/2*l**3 + 1\/2*l**4 + u - 1\/2*l + 3\/2*l**2 = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-10)*-3*(-15)\/27. Let z(p) be the first derivative of -f*p**3 - 1\/2*p**2 - 2 + 0*p. Factor z(l).\nAnswer: -l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, j: 3, q: 1, m: 1, l: 2, w: 3}. What is prob of picking 1 m and 2 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*m**5 + 484*m**4 - 2720*m**3 + 4624*m**2 + 256*m - 4352 = 0. What is m?\nAnswer: -4\/5, 2, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 3*k + 4*k)*(-1303 - 39*k**2 + 1303) + 6 + 11*k**3 - 6 - 2*k**2 to the form c + v*k + m*k**3 + r*k**2 and give m.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 15a1a2?\nAnswer: 15a1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -699847 + 699852. Suppose 2*v = 6*v - 16. Which is the closest to 2? (a) -2\/23 (b) 16 (c) y (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22080 - 15095. List the prime factors of f.\nAnswer: 5, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46869*r - 459 = 46852*r for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -320, -296, -168, 130, 664?\n\"Answer: 11*n**3 - 14*n**2 - 11*n - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1194065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/5 (b) 396 (c) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.449 + -25.447. Let i = 0.004 - -25.996. Let z = x + i. What is z rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 13886181?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/36 and 61\/3505860.\nAnswer: 3505860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100101011111000001011 + -10?\nAnswer: 10100101011111000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 5*b + 84. Let d = b + -21. Let z(a) = a**2 - 6*a - 6. Let l be z(d). Sort -4, 3, l.\nAnswer: -4, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 10:05 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -3\/4, -7\/1256?\nAnswer: -7\/1256","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106.1 - 102. Let o = m + -4. Let p = 47\/150 + 1\/50. Which is the nearest to 0.2? (a) -4 (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -456 + 919. Calculate the remainder when v is divided by 171.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111 - -100. Let n(v) = v**3 + 9*v**2 - 22*v + 12. Let u be n(b). Suppose -u*l = -6*l - 828. Does 24 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gczhmfg. Give prob of sequence zf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v + 4 = 0. Let n(h) = -1. Let i(u) = 2*u**2 - 6*u + 7. Let s(b) = -i(b) - 6*n(b). What is s(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/20*(-2)\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2886 (b) -8\/5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*p - k + 5*k, 0 = 5*k. Suppose -3*f + 1 = -11. Sort -5, f, p in decreasing order.\nAnswer: f, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u. Let i = 16 - 16. Let q(a) be the third derivative of i + 1\/12*a**4 + 0*a**3 + a**2 + 0*a. Determine j(q(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**(-1\/14)\/w)))\/w**21)**(1\/22) assuming w is positive.\nAnswer: w**(-309\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*u**4 + 503360*u**3 - 1417077640*u**2 + 52813872960*u + 11806400880 = 0 for u.\nAnswer: -2\/9, 38, 5574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15, -1, -4.\nAnswer: -15, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/7)*v)\/(v\/(v*v\/((v**(-1)*v)\/v*v)))*v**2*v**(-5\/3)\/v)**(2\/103) assuming v is positive.\nAnswer: v**(50\/2163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3207 + 24 - 6\/(4 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 12*c + 62. Let k be s(0). Let p = k + -56. Let z(g) = -3 + g**2 + 3*g - 9*g - 4. Determine z(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -92.3\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*n = 4*c - 4, 3*c - 8 = -n. Suppose -c*j - 917 = -5*y + 2*y, -4*j = -2*y + 610. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7, -0.4, 42\/11, 14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2612 and 752304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-6) + (-1904)\/(-42). Suppose 3*g - b = -2*g. What is the remainder when 37 - (1 + (0 - -2)) is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -435*m - 18. Let q be k(-11). Let d = -3032 + q. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - -0.8856?\nAnswer: 46.8856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -57. What is the remainder when k is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 25, 17, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(sqrt(125) + sqrt(125) + -1))**2.\nAnswer: -18000*sqrt(5) + 450900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d - 8. Let t = -2 - d. Suppose -8 = -t*c + 20. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2617463388 and -0.2?\nAnswer: 2617463388.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.075 and 14.4?\nAnswer: -202.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*q**2*s**2 + q**2*s + 3942*q*s**2 + 278*q*s + q wrt s?\nAnswer: -14*q**2 + 7884*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 4437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -3 + (103 - 115).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 155018?\nAnswer: 2325270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 3 + (0 - 0) - 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61.8 and -10.\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197127 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grr when three letters picked without replacement from pbbbrbgrwbbbbbbgbrb.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167705*x - 84012*x - 83695*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4205922cm?\nAnswer: 4205.922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*g**3 + 13*g**2 - 11*g**4 + 17*g**3 - 11*g**2 to the form h*g + u + r*g**4 + s*g**2 + p*g**3 and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10213515 divided by 3081\nAnswer: 3315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50 + 0*(-4)\/16. Suppose 4*t = -l - 22. Let k be (12\/t)\/(2\/(-330)). Calculate the highest common factor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -23*k**4\/3 - k**2 + 217*k. Let c(r) = r + 2. What is c(o(f))?\nAnswer: -184*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*f + 82427 - 84891 = 0 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-3\/2)*t)*t)\/(t*t**0)*t**(-1\/3)*(t**8*t)\/t)\/((t*t**(2\/27))\/(t\/(t**(-3)*t*t)*t))**(-9) assuming t is positive.\nAnswer: t**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmc when three letters picked without replacement from kimkhkkkkkkkikkc.\nAnswer: 11\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*l**2 - 1605 + 4690 - 1625 - 1460.\nAnswer: 124*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + 22*i**2 - 25*i + 18. Give m(10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2005453 to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27697*l**3 + l**2 + 6648*l - 2?\nAnswer: 166182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -305.622 to the nearest integer.\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30\/4*(-48)\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -17.2. Which is the third biggest value? (a) 0 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -17 + 11*i - 10*i + 18. Let m(t) be the third derivative of t**4\/12 + t**3\/2 - t**2. What is 5*h(q) - 2*m(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74116\/17849 + 2\/1373. Let i = -147\/26 + l. Sort 0.1, i, 0.5, -105.\nAnswer: -105, i, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4481808.1 * 3.\nAnswer: 13445424.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 348\/8 + 1\/2. Suppose -h = -f + g - 4*g, -48 = -2*f + 2*g. Let t = f + -15. Solve -v - 26 = 4*l + v, -4*l - t = -2*v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(80))*-6 + sqrt(80) + 3 + sqrt(80) + sqrt(80)*1)**2 + (((6*(sqrt(80) + sqrt(80) + -1) - sqrt(80)) + sqrt(80)*1*-3)*2)**2 + -5.\nAnswer: -1896*sqrt(5) + 21564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*q = -353*q + 310 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.31974413 rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758453613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-45)\/30)\/(1*(-12)\/87160) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-8))\/(66\/(-352)*-4)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-136)\/170*(-1)\/(-2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -54500, -217929, -490280, -871529, -1361652, -1960625, -2668424, -3485025?\n\"Answer: 4*j**3 - 54485*j**2 - 2*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 0.4 (c) 3 (d) -72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8.862 - 200939572\nAnswer: -200939580.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 + 79. Sort l, 2, -2.\nAnswer: -2, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 637001 or 636998?\nAnswer: 636998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9626 (b) -2\/9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/21)*g)\/(g**(1\/4)*g)*(g**(2\/9))**(2\/91))**(-27) assuming g is positive.\nAnswer: g**(1473\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90597508 a multiple of 914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 2\/9, 0.8, 1\/229, 5 in descending order.\nAnswer: 5, 0.8, 2\/9, 0.03, 1\/229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, b: 5, j: 12}. What is prob of sequence zbjb?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 14223656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 990 a factor of 28379313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r = 14*r + 6. Let m(g) = -g - 1. Let n be m(-5). Let y = -11692 - -11699. Put r, y, -4, n in descending order.\nAnswer: y, n, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s - 1635888. Let k = 4512056 - s. Round k to the nearest one hundred thousand.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, 3, -19, 5, 12, 17 in descending order.\nAnswer: 17, 12, 9, 5, 4, 3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 128*n - 139. Give l(0).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(567) + -3)**2 + (sqrt(196)\/sqrt(7) - (sqrt(7) - sqrt(70)\/(sqrt(20)\/sqrt(2))))**2)*-2.\nAnswer: -1208 - 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4841 (base 14) to base 16\nAnswer: -3139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/3 + (2 - -3). Suppose 2*p - 27 = 5*a - p, 4*a + 3*p + 27 = 0. Sort v, a, 6.\nAnswer: a, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 4 = -4*j. Differentiate 0*t + 71*t**3 + 0*t - 73*t**j + 2 wrt t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 17*g - 23. Let u(t) = 35*t - 44. Calculate 13*f(m) - 6*u(m).\nAnswer: 11*m - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -13. Let a = k + -10. Let u = 5 - 3. Put -4, u, a in descending order.\nAnswer: u, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/5))\/y**(-5))**(-48) assuming y is positive.\nAnswer: y**(-1488\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**3 + w**2 + 3*w + 7. Let r be n(-2). Let c = r - -71. Does 22 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3)\/y)\/y**(2\/7)*y\/(y**0*y)*y*y*y*y*y**6)**(-23) assuming y is positive.\nAnswer: y**(-3887\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 12*q**2 - 16*q + 67. Is n(17) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (1 - 6) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -20*(98012\/9630 + 1*-10). Put n, 8, -1\/12 in descending order.\nAnswer: 8, -1\/12, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -438961\/336060 + 6\/9335. Calculate the common denominator of 143\/70 and v.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 6 - (-1 - (12 + -7))) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5 + 38*b**4\/3 + 8*b**3\/3 - 8*b**2 = 0. Calculate b.\nAnswer: -6, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 6:11 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -106.\nAnswer: 5\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 - 0.1. Let y = r + 3.1. What is the third biggest value in 0, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.181 + -173\nAnswer: -172.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + 3*sqrt(3))*-1)**2.\nAnswer: 6*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*h**2 - 129*h**2 + 443*h**2 - 99*h**2 - 99*h**2.\nAnswer: -35*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 322, -2\/15 in ascending order.\nAnswer: -2\/15, 1, 5, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -85*z**4\/12 + z**3\/3 - 2*z**2. Let d(l) = 2*l**2. Calculate d(a(s)).\nAnswer: 57800*s**2 - 1360*s + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.9558 - -0.0442. Let q = 122\/7 - 380\/21. Let o = -0.3 - 0.1. Which is the nearest to 0.1? (a) o (b) m (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*c - v + 27, 3*v + 21 = 3*c. Suppose -5*s = -4*t + 15, -c*t + t + 18 = -2*s. Calculate the remainder when 2 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 63439379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1224, -4699, -10434, -18429, -28684, -41199?\nAnswer: -55974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 1280*g - 1286*g - 97 to s*g + b and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1439\/5 + 287. Which is the closest to 21? (a) p (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/56443?\nAnswer: -2\/56443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 10:40 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.4 + -0.027029.\nAnswer: -15.427029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*k = 67*k - 176. Let r = k - -24. Solve 3*f + 4 + r = 5*m, 5*f - 30 = -5*m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:16 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 901 is divided by 184?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.3 (b) -1\/3 (c) 1\/6 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/4443 + 2467\/2962. Let m(w) be the third derivative of a*w**3 - 11*w**2 + 5\/12*w**4 + 0*w**5 + 0*w + 0 - 1\/42*w**7 - 1\/12*w**6. Solve m(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 594 divide 1476090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4224 - -2.5776. What is the second smallest value in -8\/7, o, -27, -0.3?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 15. Let c(k) = -k**3 - 3*k**2 - k - 3. Let o be c(m). Suppose -36 = -4*p - o*p. Calculate the remainder when 35 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 26 = 2*k, 3*k + 56*h - 35 = 52*h for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2762, 9981, 21658, 37793, 58386?\n\"Answer: 2229*i**2 + 532*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 - 2 + 2*h**4 - 2*h**3 + h**3 + 49*h**2 + 3 - 55*h**2 to the form c*h**2 + f*h**3 + g*h + y*h**4 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -12776.\nAnswer: 12776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128)\/48*(77\/(-220) - 1\/(-10))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -1093*p**3\/6 - 343*p**2\/2 - 10*p - 90. What is the derivative of u(o) wrt o?\nAnswer: -1093","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -462, -7\/2 in descending order.\nAnswer: 10, -7\/2, -462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnlc when four letters picked without replacement from {p: 1, c: 5, o: 1, l: 6, n: 2}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 18*j + 112. Calculate y(-9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 25*h + 1. What is the units digit of f(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - -3*(sqrt(475)*1 - sqrt(475)))*5.\nAnswer: 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/2 + 187265*x**3\/2 + 561789*x**2\/2 + 561787*x\/2 + 93631.\nAnswer: (x + 1)**3*(x + 187262)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 4, 199, 1, -5 in descending order.\nAnswer: 199, 4, 1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eedheheedeeheeeeeer. What is prob of picking 2 d, 1 h, and 1 e?\nAnswer: 13\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 177271825 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 12*b - 520. Determine z(43).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(4\/13)*k**(-6)*k*(k**(-6))**(-22) assuming k is positive.\nAnswer: k**(1660\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.4 (c) 5 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36591025361\/7941465 + -646979\/7415. Let g = d + 32850\/7. Let t = g + 30\/17. Put -5, 0.4, t in decreasing order.\nAnswer: 0.4, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4112 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 2)*(-14)\/(-6). Let w be 30\/p + 2\/(-7). Differentiate t**4 + 0*t**w - 1 - 3*t**4 with respect to t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(119)\/(sqrt(14)\/sqrt(2)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 - -5 - 5 - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 36 - ((-7 + 4 - 6) + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.3, -1\/27, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-10 + 0 + 4) - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l**3. Let w(h) = 6*h**3. Suppose 7*z - 32 = 5*z. Let i be 40\/z*(-2)\/(-1). Calculate i*j(f) - 6*w(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 18*z - 6070 = -2*q, -z + 15209 = 5*q. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5661?\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.28, -4 in descending order.\nAnswer: 0.4, 0.28, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3693594, -7387145, -11080696, -14774247, -18467798, -22161349?\n\"Answer: -3693551*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**7\/63 + 8*y**6\/45 - 5*y**5\/6 + 19*y**4\/9 - 28*y**3\/9 + 8*y**2\/3 - 17*y. Suppose k(s) = 0. What is s?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v**2 - 32*v**2 + 10*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/7 and -55\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**17*w*w\/(w*w**(-2\/23)\/w*w))**(-16))**12 assuming w is positive.\nAnswer: w**(-79872\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.1, 0.3, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -658 - -1107. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072479 is divided by 268075?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2755 to two decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 8:44 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-13)\/(-2))\/(11\/(-10) - 168\/(-105)). Is y smaller than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g - 4*x + 11, 0 = 3*x + 6. What is the remainder when g is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 5*d**2 - 4*d + 8. Let m be f(-6). What are the prime factors of 4 - (m + 1 - (-2230)\/(-10))?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1257, 1256, 1255, 1254?\n\"Answer: -n + 1258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 904297.6kg to grams.\nAnswer: 904297600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/(-18) - 1\/2. Let o = 3 + -7. Let i = -16701 + 16701.4. What is the nearest to i in q, o, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from uwuuquauxqauauuxu?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**3 + 2*g**2 - 11. Let i(u) = 6*u**3 - 3*u**2 + 16. Determine 5*i(r) + 8*y(r).\nAnswer: -2*r**3 + r**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 431118353 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8*h**2 - 6*h**2 + 8*h + 5 + 6 + h**3 + 4*h**2. Let s be u(9). Let w be (s\/(-40))\/((-9)\/(-24)). Put w, 1, -9 in descending order.\nAnswer: 1, w, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7628211894 minus -0.021?\nAnswer: 7628211894.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 12:01 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -296*o**6\/15 - o**3\/3 + 235*o**2\/2 - 6*o + 18. Find the second derivative of q(a) wrt a.\nAnswer: -7104*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 - (0 - 1 - -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 228*d + 467. Calculate c(-3).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 1447608*c + 1447762*c - c**2.\nAnswer: -2*c**2 + 154*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37202474?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1851311 by 3.\nAnswer: -1851311\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**3 + 13825*d**2 - 41430*d = 0. What is d?\nAnswer: 0, 3, 2762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*w + 10 = 0, 5*d - w + 28 = -5*w. Let i be 118\/d + (-8)\/(-2). Let l = i + 24. Which is the third biggest value? (a) 4 (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 1, 2\/7, -44, 26\/9, -1 in ascending order.\nAnswer: -44, -1, 0.03, 2\/7, 1, 26\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**5\/60 - c**2. Let k(h) = 20*h. Determine y(k(a)).\nAnswer: -400*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -49624, -99087, -148562, -198055, -247572?\n\"Answer: -y**3 - 49456*y - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1163978\/1229475 + -1\/16393. What is the common denominator of 62\/75 and d?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 3. Let x = -1337 - -2633. Suppose 0 = 35*w + 37*w - x. Sort 1, n, w.\nAnswer: n, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 6*f**2 + 4*f + 16. Give m(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**3 - d**3 + 5*d**3 + (2*d - 2*d + 3*d)*(1276 - 1276 - 79*d**2) - 5*d + 5*d - 4*d**3.\nAnswer: -242*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**3 + 21*x**2 - x - 1. Suppose -18 = -16*q + 7*q. Let g(u) = -u**3 + 5*u**2. Let m(h) = q*d(h) - 9*g(h). Calculate m(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35986.\nAnswer: 2, 19, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Let i(g) = 12*g + 2. Suppose 255*x - 41*x + 1284 = 0. Let l = -4 - -5. Calculate l*i(o) + x*m(o).\nAnswer: 6*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1133.44 - -0.1\nAnswer: -1133.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 1:48 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10040616 + -16.479.\nAnswer: 10040599.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q - 20992 = -20954 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -119390 and 59?\nAnswer: -7044010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 7:11 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.901 - -0.601. What is the third smallest value in r, 9, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 9*y = -11*y, -5*y + 20 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111\/94 - 15\/47. Let p = -8.91 + 9. Let r = p + -1.09. Which is smaller: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaaayaaaaqa. Give prob of sequence ya.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 387, 388, 389?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 358331 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: What is the next term in 252874792, 252874788, 252874784?\nAnswer: 252874780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -87*p**3\/2 - 3*p**2\/2 + 4*p - 234. Let m(l) = -4*l**2. What is m(g(x))?\nAnswer: -272484*x**2 - 6264*x - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 499214, 997921, 1496626, 1995329?\n\"Answer: -o**2 + 498710*o + 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/260*46\/(-920)?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15944 + 17703. What is the remainder when v is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 - 154095*q**3 - 36167742*q**2 - 2823931188*q - 73459225944.\nAnswer: 3*(q - 51599)*(q + 78)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21239036497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and ((-18)\/15)\/(9\/(-105)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073560064905 + -0.5?\nAnswer: -0.426439935095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 11:12 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(-12*y + 3*y + y) - y - 4 + 4 + (-19 - 8 + 15)*(3*y - 4*y + 2*y).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.051 (b) -4\/5 (c) 2\/7 (d) -0.19 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8413885 bigger than -8413885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**4 + 11580*h**3 - 626335*h**2 + 10330320*h - 45581760 = 0.\nAnswer: 7, 24, 2261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122 + -1?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 25894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m + 46*m = -60 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00322327 to four dps.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2189 is divided by 672.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3834\/(-355) - 1\/5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 - 5 - h - 19 - 5 as q*h + s and give s.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from bbxbbxbbbbbbbxb?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72806 - -190569. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2143*p - 82606226 + 82606227 - 1494*p in the form u*p + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 228410, 225772, 223134, 220496, 217858?\n\"Answer: -2638*a + 231048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 103032131 (base 5) to base 13\nAnswer: 125176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 9.5. Let z = 3 - i. What is the second smallest value in z, 1, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250632441?\nAnswer: 3, 283, 32801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2434 + 2560. Is l greater than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 978450?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23*(-3 - -2 - -16). Is -2*(o\/(-6))\/5 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -296*s + 6. Let r(b) = 5*b. Give r(z(i)).\nAnswer: -1480*i + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 7*d**2 + 7*d + 6. Let h be n(6). Let o(w) = -8 + 7*w - 11*w**2 - w**3 + h*w + 2*w**3. What is the remainder when o(10) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 4. What is the remainder when w is divided by (-2 - -10)\/(3 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/243 + -2894\/2673. Let y = d + 59\/44. Which is the closest to 2\/5? (a) 3 (b) y (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/21 in -1\/6, 2, 3, -0.1, -260853?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -671586 or -92?\nAnswer: -671586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1647 + 1646.924. Which is the closest to m? (a) -1 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3363*b**3 - b**4 + 2*b**2 - 3*b**2 - 3318*b**3 - 2 in the form r*b**3 + g + j*b**4 + x*b**2 + u*b and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 12, -1\/3, 58\/17, -0.03, 0.3, -0.25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3743\/7 + -536. Sort v, 0.5, 2\/7, 4 in ascending order.\nAnswer: v, 2\/7, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1468*h**2 + 2922*h**2 - 1452*h**2 + 79.\nAnswer: 2*h**2 + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxcog. What is prob of picking 2 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.52019 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, e: 1, t: 3, b: 1, d: 5, y: 4}. What is prob of sequence btbt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 169 = i, 0 = 4*s - 6*i + 3*i - 341. Suppose -s = 9*k - 8*k. Is (k\/(-2))\/(6\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 971150 = -5*t, -1164947 - 2719617 = -4*n + 2*t. Round n to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f = -6, 3*f = -5*k + 25364. Suppose -k - 5806 = -20*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469309 is divided by 141?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 118 (b) 0.3 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.0615 to one dp.\nAnswer: -15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -12. Let k(r) = r**3 + 4*r**2 - 5*r + 1. Let z be k(-5). Let p be z + (-5 + 3 - h). Solve p = 7*q - 2*q - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - ((1 - 8) + (66 - 64))) + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10928034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1952 + -3306. Let m be 6\/4 - y\/4. Round m to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 164*u**2 + 13.\nAnswer: -164*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**3 - 12*m**3 + 22*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 8.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.1. Let l = 6 - 6.2. Let z = l - -0.5. What is the third biggest value in z, a, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -4. Suppose 0*f = -f + n. Let b(x) = -x - 7*x + f*x. Let k(v) = v. Give k(b(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5123.43714 * -0.3.\nAnswer: 1537.031142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -64. Let z = -13 - u. Calculate the greatest common factor of 48 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 10:19 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -325, -3, 49 in ascending order.\nAnswer: -325, -3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 5*f - 2. Let s be h(6). Suppose -s*o + 3 = 4*k - 1, -4*o + 5*k = -49. Let g(l) = 2*l**2 - o*l + 6*l. Let a(z) = 2*z. Calculate a(g(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 25*c**3\/2 - 84455*c**2\/2 + 101319*c\/2 - 30393\/2 = 0?\nAnswer: 3\/5, 3377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x + 10. Let k be n(0). Let g(i) = 19*i + 34. What is the tens digit of g(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k - 18. Let t be l(-16). Suppose -1256 = -t*q + 10*q. Is 3 - (-2 - 0 - q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415816508.\nAnswer: 2, 37, 317, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -466 - -1075. Suppose -136*k = -115*k - l. Solve 5*c - 3*w = 34, -3*w = -4*c + k - 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**3 - c**2 - 7. Let j(m) = 3*m**3 - 3. Let i(k) = -k**3 - 7*k**2 + 7*k - 10. Let t be i(-8). Let s(u) = t*v(u) + 5*j(u). Calculate s(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1017 + 1016.317. Let w = 0.6 + t. Let r = -0.055 - w. Round r to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2273 - 15857\/7. Calculate the common denominator of -58\/5 and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13.8885 centuries?\nAnswer: 1388.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7785, 30950, 69547, 123570, 193013, 277870, 378135, 493802?\nAnswer: 624865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 18. Let c(l) = -2*l - 54. Let i(a) = 2*c(a) - 7*s(a). Determine i(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437131201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1174814.99978 + 1174787. Let t = s - -28. What is t rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/2 + (4 - 7). Let z be (-45)\/6*(-16)\/k. Is z smaller than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 109*t - 86*t + 414 - 115 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 + 3*w - 3. Let l be -3 + 6 - (-10)\/(-2). Calculate the remainder when 6 is divided by c(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -16*k + 12. Calculate o(4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.5 (c) -0.3 (d) -8899 (e) 34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b = s + 710, -4*b = -3*s - 706. Suppose -7*l + 4*l = -0*l - 183. What is the remainder when b is divided by l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/(-48)*-33*76\/(-627)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 - b. Let x = 1 + 11. Suppose 2*z - x = -2*n, 4*z + 3*n + 2*n = 28. Suppose 2*y = -z*y - 4. Determine v(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g*s**2 + 399198*g*s*z**2 + g*z**2 + 322500*s**2 - 467*s*z**2 wrt g.\nAnswer: -4*s**2 + 399198*s*z**2 + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -610*h**3 - 7*h**2 - 19*h - 5. Let x be f(-2). Suppose -x = -26*j + 21*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-11)\/g**(-3\/2))\/(g**(-3\/2))**(-2\/11))**(-18) assuming g is positive.\nAnswer: g**(1935\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128036409, 128036410, 128036411, 128036412?\nAnswer: 128036413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8.9 or 120?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 131863 times -5.6\nAnswer: -738432.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 53368*t**3 - 45744*t**2 - 45744*t + 365952. Let i(l) = l**3 - l**2 - l + 8. What is 45744*i(v) - y(v)?\nAnswer: -7624*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 393300101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 432 and 4.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppiippnpiinpi. What is prob of picking 4 i?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 495 - 540 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9 - 15) + -2 + -4. Put 4, 12, u, -1 in ascending order.\nAnswer: u, -1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110110111 + -100?\nAnswer: 2110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + sqrt(11)) - (-2 + (0 + sqrt(11))**2).\nAnswer: -12 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z + 10. Let t(g) = 20*g - 30. Let n(o) = 17*f(o) + 6*t(o). Let v be n(9). Is 3 a factor of -36*(v - (-2)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 16, -0.3, -6, 0, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifteen quarters of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 25.6\nAnswer: 2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 775262 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010001 (base 2) to base 12.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1871.674m?\nAnswer: 1871674000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*(b\/(b\/b**(-2\/17)))\/b*b*b\/(b**(-2\/43)\/b*b)*b)\/(b**(-4))**32)**(-48) assuming b is positive.\nAnswer: b**(-4664208\/731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2634820 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 20 = -3*s, -6*w - 64*s - 8 = -63*s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from hxccechceh.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 j when three letters picked without replacement from {g: 1, j: 7, p: 3, c: 1}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 5*j**8\/336 - j**5\/20 + j**2. What is the third derivative of d(i) wrt i?\nAnswer: 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 89 - 3*w - 16*w + 36*w. Let i be m(-5). Solve -i = 5*l - 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/7))**(-11\/2)\/(k**(1\/3))**(-6\/19) assuming k is positive.\nAnswer: k**(-599\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -637102 (base 8) to base 16\nAnswer: -33e42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 5*p = -195468 + 195480, 5*p = -2*o - 28 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**2 + 20*r + 10. Give t(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**4 - 7761332*i**3 - 54329192*i**2 - 124180912*i - 93135648 = 0.\nAnswer: -1940326, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 36*r = -1722. Calculate the highest common divisor of r and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24.11 and 186875.\nAnswer: 186850.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from tiwvwvqqquuvwww.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 17*x**2 - 110*x + 3. Let q be i(22). Let c(m) = 2*m + 88. Let u be c(-31). Solve u - 2 = k + 4*p, -11 = k - q*p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + (sqrt(152)\/sqrt(64))\/sqrt(2) + 2.\nAnswer: sqrt(19)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -124*o - 7. Let t be b(-5). Let m = 358 - t. Let p = -138 - m. Does 25 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 2*q + 13. Let h be x(6). Suppose -h = -k - 74. Sort -3, k, 0 in descending order.\nAnswer: k, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -10. Suppose g + 4 = q. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(704) - (sqrt(704)*-1*-4 + sqrt(704))) + sqrt(704) - sqrt(704) - sqrt(704))*-6)\/(sqrt(12)\/(sqrt(9)\/sqrt(3)) - sqrt(2592)\/sqrt(8)).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 7*q**2 - 4*q**2)*(1 - 1 + 2)*(-7*q + 9*q + 2*q).\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (-13 - -27 - 30)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28178 - 58880 + 28571)*(-4*h + 0*h + 5*h) to the form o + y*h and give y.\nAnswer: -2131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 8) + (-26 - -30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/45 and -131\/24.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 2:02 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*z + 29*z - 10*z)*(-4*z**2 + 26*z**2 + 22*z**2).\nAnswer: 308*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1126.1 + 1126. Let a = -43 + 43.2. What is the third smallest value in 4\/17, m, a?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z + 2. Let s(d) = -1. Let v(a) = 30*a - 22. Let c be v(2). Let m = 36 - c. Calculate m*s(x) - k(x).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4254 not equal to -2498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4485)\/26)\/23*((-18)\/(-315))\/(11\/(-44))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3673, -3762, -3975, -4360, -4965, -5838, -7027, -8580?\nAnswer: -10545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 + -65. Suppose y - 4*s = 4*y - 13, 5*y = p*s + 11. What is the tens digit of ((-84)\/(-5) + -1)\/(y\/15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46852881*d**2 + 300018*d + 305.\nAnswer: 93705762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344818089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7038612 and 8246.\nAnswer: 133733628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 310 + -521.2. Let a = 152 + k. Let v = 77 + a. Round v to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 55*g**2 + 63*g**2 + 1 + 6*g - 120*g**2 - g**3. Let k = -5 + 1. List the prime factors of l(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1616)\/1313 + (-27702)\/(-10530)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 8) + (-24 - (-132 - -71)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 525*v + 1490*v + 192116 - 32931 for v.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + -5 + sqrt(2736) + sqrt(2736) + -1 + -5) + -1)**2.\nAnswer: -12384*sqrt(19) + 395833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1058 divided by -20\nAnswer: -529\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5384283710 - -58536?\nAnswer: 5384342246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1682304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -2\/13 (b) -4 (c) -27974\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 66822*x + 267282. Calculate q(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -321194 and -4.5.\nAnswer: -321198.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*c + 596, 0 = -3*c + 2*w + 626 + 268. Suppose -c = -5*k + 47. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -1337 (c) -4 (d) 141\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -40, -24, 1\/3, -0.32?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 33. Let a(m) = -11*m**3 + 4*m**2 - 3*m + 7. Let l(i) = 21*i**3 - 7*i**2 + 6*i - 13. Let j(t) = 7*a(t) + 4*l(t). What is the units digit of j(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -12 (b) -1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*v + 619*v + 3*x = 15, -5*v + 20 = 4*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57.869 + 0.131. Let f = k - 57.7. Which is the nearest to 0.02? (a) 6\/7 (b) f (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42456d (base 14) to base 10\nAnswer: -2240181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -253*i**5 + 3*i**2 - 143*i wrt i?\nAnswer: -15180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 22*x**2 - 208*x - 5. Let k be w(-3). Solve k - 815 = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1523, -1426, -1329?\n\"Answer: 97*v - 1620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10*b + 1. Give j(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -2.35.\nAnswer: -11.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -30, 6, -3887.\nAnswer: -3887, -30, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 818.\nAnswer: 5726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j = 6. Let h be (j*-1)\/(2 - 3). What is y in -3*y - 3*y**2 + 4*y**h + 2*y**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -214 + 151. Let g = -43 - q. Let j = 17 + -10. Calculate the remainder when g is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmd when three letters picked without replacement from {d: 1, m: 4, f: 6, t: 1, w: 6}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -18*m**2 - 11. Let r(l) = 19*l**2 + 11. Let p = -65 + 62. Let d(v) = p*r(v) - 2*f(v). Find the first derivative of d(j) wrt j.\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 1 - 3 + 2*n + 3*n - 3*n + n + (4 - 2*n - 4)*(-4 - 1 + 3) - 24*n + 13*n + 12*n.\nAnswer: 8*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -84827 (b) -2\/73 (c) -0.4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -2, 5 in decreasing order.\nAnswer: 7, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22911 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i - 1. Let b(f) = -4*f**2 - 18*f + 20. Let c(t) = -b(t) - 3*k(t). Let p be c(2). What is the highest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11*m + 4*m - 4*m + m**2 + 10. Let v be g(10). What is the second derivative of 0*l**2 - 56*l + v*l**2 + 60*l - l**3 wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -18. Let b = -180 - -192. Suppose b = t + 5*t. Calculate the least common multiple of c and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19219?\nAnswer: 19219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {x: 1, b: 1, r: 7}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*n + 15 = 0, 5*n = -6 + 21. Suppose -2*z = z. Suppose z = w*l + l - 4. Calculate the highest common divisor of l and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/15428*924\/(-11)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(85 + -4) + 2. Let r = -77 + t. Solve k = -2*b + 13, -2*k + 4*k + r = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -1\/2*o**3 + 1\/24*o**4 + 0 + 4*o**2 + 0*o. Let a be s(5). Solve 2*u = -a*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (35\/(-4))\/(2\/8). Let m = p - -63. Let s = -24 + m. Solve -w - 5*t = 20, 0*w + 13 = -5*w + s*t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 66?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -328*x**3 + 212*x + 18. Let j(y) = -82*y**3 + 53*y + 4. Let r(z) = 9*j(z) - 2*v(z). What is the second derivative of r(f) wrt f?\nAnswer: -492*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5*l - 21, 3*l + 0*l + 23 = -5*w. Let u be (w\/8)\/((-4)\/40). Solve k = u*k + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19844 is divided by 131?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 297947?\nAnswer: 297948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 267, 299, 381, 537, 791?\nAnswer: 1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -33*i**5 - 6*i**3 + 38*i**2 - 6. Let g(v) = 34*v**5 + 5*v**3 - 38*v**2 + 5. Let q(h) = -6*g(h) - 5*y(h). What is the third derivative of q(k) wrt k?\nAnswer: -2340*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**5\/20 - 7*l**4\/4 + 4*l**3\/3 - l**2\/2 - 7*l. Is r(28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 544 + 403. Let y = 946.998811 - p. Round y to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 3*o**5\/4 + o**4\/8 + 3*o**3 + 4*o**2 + 11. Let f(j) be the first derivative of n(j). Differentiate f(u) wrt u.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 51*z**2 - 4*z + 3. List the prime factors of d(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14a1 - -313?\nAnswer: 17b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.5. Let a = v + -0.2. Let t = -8 + 12. What is the third smallest value in t, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234886331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-7 - -3) + (2 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omo when three letters picked without replacement from {o: 5, g: 4, m: 2}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 2\/3, -1\/7, 16.2, 4\/5, 13, -88?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 + 5 + (-5 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14614705 to the nearest integer?\nAnswer: 3823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 5*j**2 + 505*j - 28200 = 0?\nAnswer: -141, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, z: 7}. Give prob of picking 2 z.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.140924 hours to days.\nAnswer: 0.1725385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 10*j + 19. Let v be m(-13). Let k be v\/6*(-12)\/(-8). Let b = k + 20. Solve -b = -2*w - 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46853.2 or 39?\nAnswer: -46853.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 70 - 7 = 3*p, 4*p - 84 = x. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 9\/20*b**5 - 7\/2*b**4 - 11*b + 0 + 10*b**3 - 12*b**2. Determine k, given that s(k) = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 7234 = -18*h, 4*h + 2*t - 740 - 862 = 0. Solve 347 = 7*s + h for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(4 + (-151)\/38)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1036970958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4\/9*t + 10\/9*t**2 - 2\/9*t**3 - 16\/9 = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29711445 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -23 (b) -41\/5 (c) 0 (d) 2\/17 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 divided by -141791?\nAnswer: 74\/141791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 391415592 to the power of 1\/2, to the nearest integer?\nAnswer: 19784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 6:48 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - t + 3 = -0*t, -2*t - 12 = -5*m. Factor x - 3*x**2 + 0*x**2 + x**m.\nAnswer: -x*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-104)\/60)\/(-13) - (-224)\/120. Let h be 326 - 5\/(10\/(-4)). Let r = h - 2627\/8. Which is the smallest value? (a) s (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2 - 6. Let y = 241.8 - 242. Let u = 0.08 + 0.22. Which is the biggest value? (a) y (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -65\/2, 5, -2\/11, -3\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/4 and (-1 - (-11)\/9) + 7123\/(-612).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 23*r**2 - 95*r + 362. Calculate m(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/3 - -2 - -1. Let m be 3 + (y - (2 - 0)). Suppose 2*l = -3*f + m*l - 8, l = 4. Solve f = 2*d + 2 - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 5*g**2\/2 - 9*g - 2305. Determine n(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 - 363*j - 24. Let d(v) = -2*v**2 + 362*v + 19. Give 4*d(h) + 3*l(h).\nAnswer: h**2 + 359*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -284, -389, -482, -557, -608?\n\"Answer: y**3 - 112*y - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4858, 4994, 5128, 5260, 5390?\nAnswer: 5518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 26 = -0. Solve 5*n + y + 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20884998473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2854973, 5709946, 8564919?\n\"Answer: 2854973*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c**2. Let v(p) = 19*p. Calculate v(n(j)).\nAnswer: -152*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-21)\/(-7) - 110. Let u = t - -84. Which is bigger: -0.1 or u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 477\/28162 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 7:34 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z - 11. What is the remainder when 17 is divided by w(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7947 and -4.\nAnswer: 7943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/5 - 4 - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**2 + 77*a - 210*a - 23*a**2 + 74*a + 69*a in the form d*a**2 + h + g*a and give d.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 6*o - 39. Let u be a(9). Let j(r) be the third derivative of r**4\/24 - 345*r**2. Let i(b) = 16*b. Calculate u*j(p) + i(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 867, 4046, 9453, 17088, 26951, 39042, 53361?\nAnswer: 69908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 2413.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19377 - 9*x**3 - 19377.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27107 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 is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 + 75*q - 262. Give g(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 76799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l**2 - 28*l - 5. Give b(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-19 - 0) - -47 - (0 - (-3 + 6)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17\/3 - -190\/33. Suppose -4*y - 3*x + 8 = -2*x, 3*y + 5*x - 23 = 0. Let d be 0*(-1 + 2)\/y. Is a bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/16*1452\/(-2178))\/(14\/18).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 792 = 3*m, -3*r + 1203 = 98*m - 101*m. Solve r = 8*s + 455 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -31, -8, 17, 44?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3256578.\nAnswer: 2, 3, 13, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y. Let x(q) be the third derivative of 0*q**4 - 20*q**2 + 0*q + 0 + 1\/10*q**5 + 0*q**3. Give h(x(d)).\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)*2)\/sqrt(12))\/(-1*sqrt(16)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10279 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 5, -2, -9, -16, -23?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -u - 4. Let h = u + 65. Let l(q) = h*q**2 + 135*q**3 - 145*q**3 + 0*q + q - q**2. Calculate l(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 16 = -3*j, -6*i + i = -5*j - 30. Let q(s) be the first derivative of -i + 0*s - 1\/3*s**3 + 0*s**2 - 1\/4*s**4. Find z, given that q(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -78 + -92?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 55*t**2 + 290*t - 7. Let n = -26 + 58. Calculate the remainder when n is divided by r(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/7 + 3300*v\/7 - 1361250\/7 = 0.\nAnswer: 825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94*a**2 + 81*a**5 + 99*a**5 - 31*a**5 wrt a.\nAnswer: 8940*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 5 - 7) + 9 - (-52 + 15).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.98 or -1?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*m - 5*m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 183678 and 63888.\nAnswer: 1469424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7 = -2*x, -8*x + 11*x - 14 = -2*y. Let j(m) be the third derivative of m**5\/60 - 7*m**4\/24 + 7*m**3\/3 - 2*m**2. List the prime factors of j(y).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300761 to the power of 1\/2, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s + 17 = -4*w, -2*w - 16 = -2*s. Let p be (-22)\/(-6) + (-1)\/w. Suppose f = p - 1. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from hhaahahaaaa.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3758, -3 in descending order.\nAnswer: 5, -3, -3758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -180905.4 take away 0.63759?\nAnswer: -180906.03759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4815 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 492 = -3*k, 4*p + 1 = -3. Let t(x) = 6*x - 2. Let f be t(15). Let d = k - f. Is 26 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - 4*w + 47*w)*(2 - 11 - 5)*(8*w - 2*w - w) in the form s + g*w**2 + r*w and give g.\nAnswer: -2940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from zvzvvv.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2212085?\nAnswer: -1\/2212085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u - 60. Solve -z + 2 = s, 3*z + 2*z - u = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -181663 - 0.4.\nAnswer: -181663.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9550850 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 180066 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38756727, 77513451, 116270175, 155026899, 193783623, 232540347?\nAnswer: 271297071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(1\/((-20)\/12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 291 = -4*s + 25206, 3*s = -4*m + 18725. Calculate the remainder when s is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - y + 6, 6*f + 4*y = 3*f - 3. Suppose -5*l = -f*l - 4. Factor -u - 3*u**4 + u + u**2 - l*u**3.\nAnswer: -u**2*(u + 1)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.27 - -11.08. Let c = f + -5.251. What is c rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.33287 - -7.58287. Which is smaller: 0.5 or v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j = -11*j - 44 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab9 (base 14) to base 13.\nAnswer: -c74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 4*k + 0*k)*(3 + 1 - 6) + 4*k - 2*k - k - k - k + 4*k + (-3*k - 3*k + 4*k)*(-79 + 60 + 53) as z + l*k and give l.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -9\/7, 5\/4, 0.8, 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308124 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 305099*g**2 - 64*g - 3*g**3 - 305150*g**2 + 187*g + 171.\nAnswer: -3*(g - 3)*(g + 1)*(g + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7696*h - 123315. What is x(-16)?\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 2*x + 0*x)*(0 + 0 + 3*x**2) - 100*x**3 - 37*x**3 - 40*x**3.\nAnswer: -183*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n + 5. Let y be f(0). Solve -4*r + y = 3*v + 2, 0 = 4*v + 5*r - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)*u)**(-20)\/(u**(3\/7)*u**(-1))*(u\/(u*u**6)*u*(u*(u\/(u*u**(4\/11)*u))\/u*u)\/u*u*u)**(1\/28) assuming u is positive.\nAnswer: u**(-1123\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660910833.\nAnswer: 3, 11, 67433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 5*r + 4*r - 55*r**3.\nAnswer: -55*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 divided by -1?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + l + 2. Let w be y(-2). Suppose i + 2*i = 9. Suppose -i*q = -w*q + 5. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20200204 + -11032?\nAnswer: 20134122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7799339.\nAnswer: 7799339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -238 - -236. Is 62 a factor of ((-240)\/h - 6) + (-2 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -116 + -44?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -7*z**6\/15 + z**4 + 1325*z**2\/2 + z - 97. Differentiate x(a) with respect to a.\nAnswer: -56*a**3 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**4 - s**3 - s**2 + s + 1. Let w(i) = 14*i**3 + 14*i**2 - 14*i - 35. Let d(l) = -14*v(l) - w(l). Find the first derivative of d(r) wrt r.\nAnswer: 56*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -28*a + 196. What is the remainder when 109 is divided by n(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -44 and 3.63.\nAnswer: -159.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a - 9?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 381636585 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-46.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48683, -48689, -48697, -48707, -48719, -48733, -48749?\nAnswer: -48767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 1 + 83\/2. Let g = 41 - c. Let d = -0.1 - -0.5. Put -1\/4, d, g in descending order.\nAnswer: d, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 65*t**2 + 799*t + 7. Let k(n) = -56*n**2 - 799*n - 6. Determine 6*j(x) + 7*k(x).\nAnswer: -2*x**2 - 799*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -279, -275, -269, -261, -251?\n\"Answer: b**2 + b - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7518697 * 0.01\nAnswer: 75186.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-71)\/((-3976)\/(-1008)) + (23 - -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -22*v**2 - 364*v + 364*v. Let f(o) = -3*o**2 - 5. Let i(r) = 2*r**2 + 4. Let d(k) = -4*f(k) - 5*i(k). Give t(d(l)).\nAnswer: -88*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, -36, -86, -176, -318?\n\"Answer: -2*g**3 - 2*g**2 - 2*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (18 + -10 + -4)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9034 (b) -0.1 (c) 15\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 90. Determine o(-22).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 12 = 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -16, -1\/21, -2\/19?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3440759904 to the power of 1\/2, to the nearest integer?\nAnswer: 58658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 25*i - 7. Let k(h) = h**2 - h - 1. Let c(m) = a(m) - 4*k(m). Let z be c(-9). Solve -29*n - 15 = -z*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -90, -283, -646, -1233, -2098, -3295?\nAnswer: -4878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 5*r - 56, -845*c - 6*r + 96 = 851*c - 1690*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 25*o - 22. Give t(-19).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeepfeefep. What is prob of sequence pf?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6723, 17349, 35065, 59877, 91791, 130813, 176949, 230205?\nAnswer: 290587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l**3 - 3*l**2 + 3*l + 1. Let u(w) = 17*w**3 + 8*w**2 - 8*w - 2. Determine -8*t(x) - 3*u(x).\nAnswer: -3*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -96 at least as big as 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 - n**2 + 826*n**3 + 824*n**3 + 894*n**3 - 2556*n**3.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**6\/120 + 3*r**5\/20 + 25*r**3\/6 + 7020*r**2. Calculate l(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2844790 divided by 277.\nAnswer: 10270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*f + 25, -3*f = d + d - 50. Suppose 2*a = 5*r - 57 + f, -2*a + 35 = 3*r. Solve -r - 6 = -5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 10545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49609.04 milligrams to grams.\nAnswer: 49.60904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 3*130\/(-15). List the prime factors of p\/(-2)*(-3 + 0).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*r, -5*a + a + 3*r = -20. Let g(f) be the third derivative of -f**4\/24 + 5*f**3\/3 - 2*f**2. Calculate the lowest common multiple of 11 and g(a).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-168)*(1 + -10 - 4816\/(-448))?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/12)\/(2\/16). Let z be (-160)\/(-76) - -2 - w. Let b be ((-1)\/5)\/(-6 + 108\/15). Sort -5, z, b, -0.5 in ascending order.\nAnswer: -5, -0.5, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 24 = -16*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h - 1 + 1 + (-2 + 3 + 1)*(h - h + 2*h) + 0*h + 3*h - h + 1 - 2*h - 1 - 2*h + 3*h - 2*h - 917*h + 477*h + 38 + 479*h.\nAnswer: 40*h + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(5*sqrt(5))*-2*-1.\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*g + 26*g - 50*g)*(-5 - 4 + 1 + 1 - 1 + 1 + 1 - 1 - 2 + (-3 + 4 - 2)*(1 + 3 - 5) + 0 - 2 + 1)*(-3*g**2 + 5*g**2 - 4*g**2).\nAnswer: 54*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/7 + 242*o**2\/7 + 6308*o\/7 = 0 for o.\nAnswer: -83, -38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -3.6, -22, 0.984 in decreasing order.\nAnswer: 0.984, -4\/9, -3.6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2193557578 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*r - 2*r - 2*i, 0 = r + 2*i - 18. Let m = -12 + r. Does 10 divide ((-50)\/m)\/((-1)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1743 at most as big as -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 6:04 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.083 (b) -0.1 (c) 6 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 4*a**5 - 1 + (-8*a**3 + 0*a**3 - 7*a**3)*(-3*a**2 + 4*a**2 + a**2) + (-3*a + a + 4*a)*(a**4 - a**4 - a**4).\nAnswer: -36*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 171658 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 1417.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 + 40. What is the highest common divisor of 19 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1416 - 600 = 12*o. What is the derivative of -21*u + u**3 + 3 + 39 + 109 + 5*u - o*u wrt u?\nAnswer: 3*u**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 14 = 2*u. Let g(h) = 5*h - 8. Let y(d) = 5*d - 8. Let i(j) = 3*g(j) - 2*y(j). Let a be i(u). Solve 10 = -a*r, 0 = -2*c - 3*c - 3*r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d + 154. Give b(32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2952 is divided by 224.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4363, 8724, 13085, 17446, 21807, 26168?\n\"Answer: 4361*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023\/7 + (-3)\/21 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2238\/19 equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -723\/5 - -144. What is the smallest value in -25, q, 4, -1\/3?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98549 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 97182653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3878660 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2. Let n be 2\/(20\/(-6))*-5. Let t = -116 + 189. Let o(v) = -3 + n + t*v - 76*v. What is o(q(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*i - 0*i - 121, j - 343 = -5*i. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 1. Let h(x) = 3*x**2 - 6*x - 1. Let b be (1 - 2)*1*1. Let i(t) = b*h(t) - 4*q(t). Give i(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -39. Suppose 4*u - 5*o + 20 = 0, -3*u + o = -z*u - 10. Let j = -4 - -1. Which is the second smallest value? (a) j (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99597 (base 16) to base 11.\nAnswer: -399a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2990*b**2\/11 + 5994*b\/11 + 28\/11.\nAnswer: 2*(b + 2)*(1495*b + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*a - 58, -16*d = 2*a - 11*d - 13. Solve -11*o = -a*o - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -92062.\nAnswer: -18412.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 677 (base 16) to base 8.\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3) + (-5)\/(-3). Let m be 8*(11 - (-744)\/(-64)). Sort m, p, -4, 4 in ascending order.\nAnswer: m, -4, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**5\/20 - 29*u**4\/12 + 55*u**3\/6 - 18*u**2 + 6446*u. Give x(27).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882600131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5657*c**5*j + 6*c**3*g**2*j + 1213*c*g**2*j + 3*c*j + 2*g**2*j - 2*g - 2*j wrt c?\nAnswer: -113140*c**3*j + 36*c*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -2*m**2 + 5 + 0*m - 1\/6*m**4 + 1\/30*m**6 + 0*m**5 + 0*m**3. Let f(r) be the second derivative of k(r). Factor f(w).\nAnswer: 4*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -78.\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 100269 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 626667.5 micrograms?\nAnswer: 626667500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -544152 divided by 22673\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10225657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 36*h**2 + 35*h - 11. Determine r(35).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 697242 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3000 = -5*y + c, 5 = 9*c - 8*c. Let o = y + -581. Solve 14*z = 19*z - o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-8\/9))\/r)\/r**(-16)*r\/r**7*r\/(r**(2\/39)*r) assuming r is positive.\nAnswer: r**(1268\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 30 = -3*i. Let m(g) = g - 1. Let s(l) = -535*l. Let u(j) = -6*m(j) - 3*s(j). Let b be u(i). What is b rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 281\/281*8\/((-16)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2 - 5 + 1 + 2*q - 3*q. Let t be f(-15). Suppose -2*h + 7 = -t. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.068 - -0.672. Let j = -0.704 + y. Which is the smallest value? (a) -1\/2 (b) -43 (c) j (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -13*x**3 - x**2 + 15*x + 8. Let q(l) = 11*l**3 + l**2 - 14*l - 8. Calculate 6*j(f) + 7*q(f).\nAnswer: -f**3 + f**2 - 8*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.9 - 5.9. Which is the closest to -0.1? (a) 0.1 (b) x (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 3. Let z(f) = 3*f**2 - 7*f + 10. Let p(y) = -5*y**2 + 10*y - 15. Let s(b) = 5*p(b) + 8*z(b). List the prime factors of s(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*o**4 + 1704*o**3 - 20403*o**2\/4 + 11715*o\/2 - 9075\/4 = 0. What is o?\nAnswer: 1, 55\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36, -71, -106, -141?\n\"Answer: -35*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 144.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-455)\/10 - 1\/(-2). Let l be (-3)\/(k\/66) - (-46)\/(-115). Solve 7*j = -25 + l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.5 + 9.5. Which is the third smallest value? (a) g (b) 6.4 (c) -0.3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2) + 4\/8. Suppose -2*u + 8 - 4 = 0. Solve -d*r = -r + u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(32)*-4 - (2 + sqrt(512) + sqrt(512) + sqrt(32)))**2.\nAnswer: 16*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.69 + 10.99. Let g = r - 1.6. Let h = g - 8. Which is the closest to 1\/2? (a) 4 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 0.9. Let c be 31\/(-40) + (-3)\/(-8). Let h = 0.07 + 4.93. What is the smallest value in v, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -2. Let z be 5 + 9\/p + 3. Let y(h) = 37 + z*h**2 - 37. Let a(c) = -2*c**2. Give y(a(f)).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 24*h + 53. Determine c(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*19*(-58)\/(-2755)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -116 + 96 + (39 - (-9 - -5) - -11)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 1)*(5*k - 3*k - k) - 4*k - 4*k + 5*k + (-3*k + 6*k - k)*(2 - 3 + 2) - 32*k - 32*k - 30*k.\nAnswer: -89*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/22*880\/(-120)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 3*x**2 + 3*x + 2. Let n = -2 - -5. Let u be (-9)\/3 + n + -3. Determine j(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*u - 42*u - 185 = 0. Let l = u + -29. What are the prime factors of l?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 202, 2135, -0.3 in ascending order.\nAnswer: -0.3, 202, 2135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3163 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: Calculate 182936 divided by -2.\nAnswer: -91468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1882 divided by -6\nAnswer: -941\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/11 - 58424*p\/11 - 116840\/11.\nAnswer: -2*(p + 2)*(p + 29210)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 65203409 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - 483*i**3 + 2 - 4*i + 471*i**3 in the form x*i**3 + b*i + k + v*i**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9734*z + 1283755 - 242217 = 0 for z.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcc when three letters picked without replacement from zzzzrzgscchc?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxoxxxxo. Give prob of picking 2 x and 2 o.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30233233201 - 2?\nAnswer: -30233233203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 2*v - 2. Is y(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/60 + 1615\/(-76)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -12)\/(2 - 3). Let c = 18 - x. Solve 5*d - 3*k + c = 0, -5*d + 4*k - 22 = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2854, -2849, -2848, -2857, -2882, -2929, -3004?\nAnswer: -3113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1337, 1334, 1335, 1346, 1373?\nAnswer: 1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*n - 1060 - 8277, 2*n - 3*s - 6210 = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-10))\/((-3)\/(-24)). Let l = -55 - -37. Let m be 40\/16*l\/15. Which is bigger: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 453251525 + 5?\nAnswer: 453251534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -4*k + 12, 15 = -s - 4*k. Is (2\/s)\/(-2) - (-139712)\/111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3850116*d**2*f**2 - 2153*d**2*f + 17*d**2 + 94*f wrt f?\nAnswer: 7700232*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3267823*w**6 - 141903*w**2 - 10*w.\nAnswer: 392138760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*q - 72. Let y = q + 119. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -15. List the prime factors of 6\/g*(-120)\/16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 317.28 - 308. Let p = 22 - r. Let w = p + 0.28. Are 1 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 2423426*a - 16963912. Calculate p(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 + 5724*g**2 - 5724*g**2.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bqbbbbbbqbbbbbqbbq?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 10:37 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86 or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o**5 - 6*o**4 + 189*o**3 - 30*o**2 - 276*o - 72 = 0.\nAnswer: -3, -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9987.\nAnswer: 3, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h - 1 + 7*h**2 - 8*h**2 - 5. Give k(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 z, and 1 g when four letters picked without replacement from vzgzkgzkkvzz?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -975 + 6826\/7. Let v(z) = -z**3 + 5*z**2 + 7*z - 7. Let w be v(6). Which is the nearest to w? (a) -4 (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 - 2*k + 10. Calculate i(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-558)\/(-16) - (-9)\/72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 7*n + 8. Suppose -2*w + 3*w + 8 = 0. Let t be l(w). Is -2 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/7 (b) -2\/3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*3\/(-36))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14834275?\nAnswer: 5, 31, 19141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 + 1600 + 1 + (-15)\/(-5) is divided by 328.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.16 + 46.84. Let j = 42 - c. Let r be -2 - (-4)\/(20\/7). What is the second biggest value in r, j, -2, 3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16136393?\nAnswer: 7, 13, 177323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 f, and 1 c when three letters picked without replacement from fvfnfvnfncvvfnn.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -24. Solve c*j + 40 = 4*o, 0 = 2*j + 2*o - 5*o + 23 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 737.3 + -733.3. What is the nearest to -0.1 in p, 0.5, 135?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414925.\nAnswer: 5, 7, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55578 and 708?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 - 2*b**2 - 2*b**2 - 2*b**2 + 4*b**2 + 0*b**2 + (-3*b - 2*b**2 + 3*b)*(2083 - 1018 - 1197).\nAnswer: 261*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116.9 - -99. What is t rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2279351013014 + -0.3.\nAnswer: 2279351013013.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4\/439, 1\/2, 4, -1186 in descending order.\nAnswer: 4, 1\/2, 4\/439, -3, -1186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - -45 - (155 + -145). What is the highest common divisor of n and 3096?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2708843 to the power of 1\/2, to the nearest integer?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-42) + (-12)\/(-7). Let u(v) = 5*v - h*v - 9*v**2 - 3*v**3 + 7*v**2 + 2*v**3. Let o be u(-3). Which is the nearest to 0? (a) o (b) 0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 15 + (0 - 13) + (0 - -4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107263 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -13*i**4\/12 - i**3\/2 - 22*i**2. Find the first derivative of x(r) wrt r.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 13*g**2 - 4*g - 21. Let u be b(-8). Suppose -2*o + 327 = -u. List the prime factors of o.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8609.9 rounded to the nearest 10?\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*l - 2*k - 2*k, 5*k - 12 = 3*l. Let p = 5 - l. What is the lowest common multiple of p and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + 8*p**3 + 261*p + 4 - 522*p + 8*p**3 + 256*p in the form m*p**3 + j*p**2 + b*p + v and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 185, 1, 5\/34, -20\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/(-39))\/(2\/(-6)) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 7:44 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from {k: 8, u: 1, n: 1, c: 5, o: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 65*f = -4*n + 68*f, 0 = -6*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**4 + 12. Let o(r) = -6*r**4 - 24. Let k(f) = -f**3 - 7*f**2 - f - 11. Let v be k(-7). Let n(t) = v*o(t) - 7*s(t). Differentiate n(b) wrt b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 16*n**2 + 214*n - 3. What is i(10)?\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 2*w + 1. Let z be x(1). Let h = z + -2. Put -2, -5, h in decreasing order.\nAnswer: -2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a. Let h(r) = r. Let n(s) = -6*h(s) - 5*p(s). Let u(d) = -54*d**2 - 1105*d + 2258*d - 1153*d. What is n(u(b))?\nAnswer: 54*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477*i - 479*i + 32 = 0. Suppose -3*b + 180 = -b. Suppose -2*u = 4, 0 = 6*g - 4*g + 3*u - b. What is the highest common divisor of i and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfnfnsshsfnhssnwhwtw. What is prob of sequence wnh?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttptpt. What is prob of sequence pt?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 184 - 184. Let t(f) = -f**3 + 3*f**2 - 2*f. Let i be t(1). Solve 2*k + 6 = 4*a - i, d = -a - 5*k - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33964*b**2*h**2 + 35*b**2*h + 2*b**2 + 2*h**2 - 71*h + 3379 wrt b?\nAnswer: 67928*b*h**2 + 70*b*h + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*u + 5*a, -4 = -2*a + 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11720, 13554, 15388, 17222, 19056, 20890?\n\"Answer: 1834*z + 9886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 - ((87 - 75) + 6).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 117\/54 - 2\/12. What are the prime factors of w*(2 - 75\/(-6))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72951 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1, -22, -2\/7, 0.3, -3142?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1284956?\nAnswer: 2, 321239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 - -1918. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 995\/2 - 523. Let x = -25 - a. Which is greater: x or 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**2 + 2. Suppose -18 = 3*c - 6. Let r(g) = -1. Let s(j) = j**2 + 5. Let h(n) = -6*r(n) - s(n). Give c*y(m) + 11*h(m).\nAnswer: m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*o - 41, -z - 23 = -3*z - o. Suppose -2*t + 5*g - 57 = -13, t + 3*g = -z. Is -19 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/14 and 79\/672.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4145 or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 16) to base 8.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from {y: 2, o: 4, z: 3, u: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -235, -197, -159, -121?\n\"Answer: 38*i - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 227, 157, 87, 17?\n\"Answer: -70*r + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1732, 3677, 5622, 7567?\n\"Answer: 1945*i - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304132744.\nAnswer: 2, 6481, 25153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 1\/65, 0.5, -6, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*z - 0*z + 225, -3*z + 225 = w. Calculate the highest common factor of z and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**2 + 1. Let s be p(-1). Let l(w) = 7 - 3*w**2 + s*w - w + 4*w**2 + 0*w**2. What is the units digit of l(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -2 - (19 - (-13 - -16))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2962571183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 9*k - 18. Determine y(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 26*m**2 - m - 18. What is the remainder when 33 is divided by i(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 9. Suppose 0 = 4*d - 2*m + y, 0 = -d + 5*m - 2. Let l = -0.057 + 0.057. What is the nearest to 0 in d, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2142030 is divided by 158.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 5. Let j be y(-5). Suppose -q + 15 + 9 = j. Suppose -3*i + q = -15. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*h - 2*z, 499*h + 62*z - 128 = 497*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggrgggggggg. Give prob of sequence gr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 14. Is b at most -2\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvo when three letters picked without replacement from vvnovvovvvvvovvoo.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**3 + 371*n**2 - 1625*n - 644. Give s(181).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.975212 (b) -2\/7 (c) 5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12312 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 14*s + 48. Let m be z(30). Let n = m - -2322. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from {q: 5, j: 3, b: 4}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4345 - -4209 - (-217 + 0)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**1\/w)*w**(-1))\/((w\/w**(-1\/5))\/(w**(2\/23)*w)))**(3\/5) assuming w is positive.\nAnswer: w**(-39\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 264205, 528288, 792255, 1056106, 1319841, 1583460?\n\"Answer: -58*o**2 + 264257*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108.3533 + -0.7107. What is x rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*t + 72*t = r + 2, -3*r + 11*t - 48 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = -37*w + 19*w + 21*w - 0*m - 3*m, 0 = 5*w + m + 43 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 6 - 4*s**2 - 28*s**2 + 128*s**2.\nAnswer: 96*s**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 18*n - 71. Let y be b(-6). Solve -9 - y = -5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 547589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.2, -17\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118 + 136 - 87)*(4 + j - 4 + (4 - 2 + 0)*(-3*j + 0*j + 5*j) + 1 - 1 - 2*j + j + j - 3*j).\nAnswer: -138*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 75.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**4*r**3 + 31316*f**4*r - 6*f*r - 2*r**3 - r**2 - 420 wrt f?\nAnswer: 12*f**2*r**3 + 375792*f**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - (2 + 4))*1*-2. Suppose 0 = 12*u - 66 + 18. Find the first derivative of -7 + 7*x**c + 17 + 0*x**u + 11 wrt x.\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 7 = -9. Let h(k) = -k**2 - 3*k - k**3 - 3 + 2*k**2 - 5*k**2 + 3*k**2. Is h(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4)*(6 + -2). Suppose 5*h - 6*h = -20. Calculate the least common multiple of (-7)\/35 + (p - 182\/(-10)) and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2286*w**3 + 5 + 12 - 15 - 2272*w**3 - 2.\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -7*w - 22*w + 46 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 7*r**2 - 12*r + 11. Suppose 4*c + 2 = 2*j, 6*j - 3*c - 6 = 4*j. Let h be s(j). Calculate the greatest common divisor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-8 + (11 - 15))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 2:17 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6857? (a) 7 (b) 2253 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 12. Suppose 3*q - r*q + 5 = 0. What is the second derivative of 5*d**5 - d + 6*d**5 - 2*d**q wrt d?\nAnswer: 180*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(4 - 5)*-1*1. Let r(s) be the first derivative of -1\/2*s**4 - 1\/9*s**2 - 8\/45*s**5 - 4\/9*s**3 + 0*s - y. Factor r(o).\nAnswer: -2*o*(o + 1)**2*(4*o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 5*x - 54. Give r(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*q, 10 + 3 = x - 3*q. Suppose 3*h = 3, 474*w - 124 = 470*w + 4*h. Calculate the greatest common factor of w and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 1. Let l(a) = 166*a**3 + 143*a**2 - 5*a - 5. Let w(z) = -l(z) + 5*r(z). Find the third derivative of w(n) wrt n.\nAnswer: -996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, m: 2}. What is prob of sequence rm?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-20) + 14\/8. Let r(l) = 10*l + 85 + 66 - 184 + 24*l**d. Is r(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116*-5\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/7))**(-6\/29))**(-38)\/((u**1)**(-2\/47)\/(u*u\/(u\/(u**(-1)\/u*u)*u))**32) assuming u is positive.\nAnswer: u**(-283474\/9541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 5*u + 3, 6*n - 4*u = 8*n - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**4\/2 + 181*f**3\/4 + 169*f**2\/2 + 8*f = 0. What is f?\nAnswer: -16, -2, -1\/10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -16*z**2 - 5157 + 136*z - 65*z + 5194 - 73*z + 0*z**2 - z**3. Calculate b(-16).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-12 + (-2 - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**3 - 6*r**2 - 8*r - 3. Let j(h) = -h**3 - h**2 - h. Let s = -486 - -595. Suppose s = -38*w - 119. What is w*j(o) + x(o)?\nAnswer: o**3 - 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16619290 or 16619292?\nAnswer: 16619290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1572*d - 39. Let f(q) = 7*q. Determine f(v(s)).\nAnswer: 11004*s - 273","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, r: 16}. What is prob of picking 3 c?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 173541.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5 - 14*h**3 - 540*h**4 - 2 + 555*h**4 + 2 = 0. Calculate h.\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4 + 32. Let l(q) = -5*q - s*q + 15*q. Let t(x) = 3*x**2. What is t(l(g))?\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -14) + -18 - -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3090, 3078, 3058, 3030, 2994, 2950?\n\"Answer: -4*o**2 + 3094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 140 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346256 = -11717*t + 7470*t + 120914 for t.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 1901.\nAnswer: -9\/1901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 95.67483ug?\nAnswer: 0.00009567483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*j**3 + 30*j**3 - 57 - 25 wrt j?\nAnswer: 135*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 476 and 340.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 3)\/((-2)\/(-10)). Find the third derivative of -5*b**l + b**5 - 8*b**2 + 9*b**2 wrt b.\nAnswer: -240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3741423 is divided by 107.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6896748 divided by -41\nAnswer: -6896748\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 8*k + 9. Calculate u(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 5, 44, 12, 29.\nAnswer: -9, -4, 5, 12, 29, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3277 - -3280. Let m(s) be the first derivative of -p + 3\/2*s**2 + 3*s - 2*s**3. Let m(o) = 0. Calculate o.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-357)\/(-36) - 8\/12)*80?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 82.55 (b) 0.2 (c) 10\/9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*n**4 - 227260*n**3 - 318316*n**2 - 100052*n - 9096 = 0 for n.\nAnswer: -1, -1\/5, 2274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*w + 5 = -7*o, w = -3. Let c = -0.4 + 0.5. Let s = c - 0.6. Sort s, -3, o.\nAnswer: -3, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13707 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020427 to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 - (10 - (1 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, o: 11}. Give prob of sequence owo.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -1a?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7737.841 years?\nAnswer: 773.7841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/7 at most 156\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -2673507515 and 0.1.\nAnswer: -2673507514.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - (-2 - (-7 + -2)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*-2*-5 + (sqrt(121) - -5*((sqrt(121)*3 - sqrt(121)) + sqrt(121))) + sqrt(121) + sqrt(121) + sqrt(121))\/(5*(1*sqrt(77))\/sqrt(7)*5))**2.\nAnswer: 9251\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + (-1*sqrt(448) - sqrt(448))**2*3.\nAnswer: 5386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4210 to the nearest one hundred.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -63*q**2. Let z(i) = 1573*i + 2. Calculate z(m(n)).\nAnswer: -99099*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -0.2 (b) 2\/13 (c) 146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + 5 - (-7 + 8 + 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -72*(-16)\/(544\/85). What is the highest common divisor of w and 4365?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + -4 + (3*-1*(sqrt(1700) + 0) - (3 + (sqrt(1700) - (sqrt(1700) + 1)) + 5*(sqrt(1700) + -1 - sqrt(1700))))))**2.\nAnswer: -4500*sqrt(17) + 382725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13020 divided by -60?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 172 = -2*b + 8, -b - 2*p = -111. Calculate the greatest common divisor of b and 17127.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 3*c**2 + 6*c - 4*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*25\/200*2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 4\/4 + 2. Solve 0 = -s - 2*t - c, 2*s - 4*t + 3 - 23 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 3*q**2\/2 - 7. Let h(v) be the third derivative of -v**5\/30 - 4*v**2. Give z(h(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 498703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b (base 16) to base 4.\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3)\/((q*(q\/(q\/(q**(-2\/7)\/q)))\/q)\/q))\/q**(-9\/7)*((q**(-2\/7)\/q)\/q*q**(-2)\/q)**(-1\/7) assuming q is positive.\nAnswer: q**(538\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*a + 1 = -4, 3*h = 2*a + 6. What is the remainder when 5 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -12. Let t = 4.86 + -4.76. What is the second smallest value in t, l, -1\/8, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 2782019.\nAnswer: 19474133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3 = 1. Let c(y) = 132*y**3 + y. Let u be c(n). Suppose -h + 5*p = -16, -3*h = -3*p + 5*p - u. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 3*f - f - 42 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/6340 and -28\/951.\nAnswer: 19020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14607831 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*q - 25 = 0, -6*q - 8 = -2*q. Suppose -4*w = -38 - 66. Let v = 29 + w. Calculate the greatest common factor of f and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*d**2\/4 - 2119*d\/4 + 303\/2.\nAnswer: -(d + 303)*(7*d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34.134 + 0.134. Let y = 32 + w. Put y, -9, 1 in decreasing order.\nAnswer: 1, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n - 10. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1087 or 17837?\nAnswer: 1087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1379.\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c + 2. Let x(f) = f**2 + 4*f + 3. Determine 4*u(d) - 3*x(d).\nAnswer: -3*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**5 + q**4 + 206*q**3 + q**2 + q + 5116?\nAnswer: -120*q**2 + 24*q + 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 9*h = -6. Suppose y + 1 = 10. What is the greatest common factor of h and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2))**11)**(-50))**50 assuming y is positive.\nAnswer: y**27500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 14 = 3*v, 21*v + 4*o = 26*v - 20 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 606 - 606. Solve i = -183*h + 184*h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.71? (a) 5 (b) 0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 - 257. What is the units digit of (4\/(-12))\/(3\/a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 482 + 20?\nAnswer: 4a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -12*c**2 - 23*c + 10. Let p(l) = -6*l**2 - 11*l + 5. Let v(j) = 13*p(j) - 6*y(j). Let i(s) = 3*s**2 + 3*s - 3. Calculate 5*i(o) + 3*v(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 86018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hca when three letters picked without replacement from aahhaaccccaacaaahach?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2891 = -245*t + 238*t. Let h = 426 - t. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623836 times 0.2?\nAnswer: 124767.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/273 + -6547\/1365. Which is the closest to s? (a) -0.5 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 961*q + 1006*q - 58934 = 1221*q for q.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 8 + 4 - 2*f**2 + (16*f + 14*f - 79*f)*(2 - 2 - 2*f).\nAnswer: 96*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*c*d*l - 2*c*d - 50563*c*l + 321413*d*l - 4*l wrt c?\nAnswer: -13*d*l - 2*d - 50563*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 7*m**6\/60 - m**4 - 6*m**2. What is the second derivative of r(s) wrt s?\nAnswer: 84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -62, -68, -74, -80, -86?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14820.585 - 14797.585009. Let k = o - 23. Round k to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2. Let p = -11 + 11. Let c(k) be the second derivative of 0*k**2 - 1\/12*k**4 + p - 2*k + 0*k**3. Calculate q(c(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h + h)*(-5 + 5 - 2).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24432960 by 24630.\nAnswer: -992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -508061400 to the nearest 100000.\nAnswer: -508100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(1\/10))\/(306\/51)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10956215 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61806 (base 9) to base 3.\nAnswer: 2001220020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/24*3\/(-2). Sort l, 4, 0 in increasing order.\nAnswer: 0, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-16)*(-15)\/3*-2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154428041.\nAnswer: 47, 3285703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -34*b**3 - 543*b**2 + 29*b + 27. Give l(-16).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + 47. List the prime factors of x.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75450?\nAnswer: 2, 3, 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5246*o - 14884\/7 + 6476\/7*o**3 - 28552\/7*o**2 + 2\/7*o**5 + 236\/7*o**4 = 0 for o.\nAnswer: -61, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*s + 16903 = 1530*s - 112963 - 28894 for s.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**13*(j\/j**(-1\/9))\/j)**(2\/9) assuming j is positive.\nAnswer: j**(-196\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/8 + (-9)\/(-2). Suppose 4*m - 4 = t. Sort m, -4, 4.\nAnswer: -4, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15, 2, -4, 237, -313 in decreasing order.\nAnswer: 237, 15, 3, 2, -4, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60969 less than 32900046?\nAnswer: 32839077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1836)\/(-23436)*31)\/((-1)\/14)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7484 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 138*y + 2644. Give l(115).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*a + 13*a + 64*a)*(a**2 - a**2 - 2*a**2)*(-6*a + 6*a - 25*a).\nAnswer: 5950*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/135)\/(82\/(-123)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 5:35 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 76, 151, 226, 301, 376?\n\"Answer: 75*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 - 2*f + 3. Let p(u) = -5*u**2 - 2*u + 3. Let o(b) = -6*l(b) + 5*p(b). What is o(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379635737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -44. Suppose -7*y - 25 = 3*n + 2*n, -3*n + 6 = 0. Let b = a + y. Which is smaller: b or -27?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(33\/12) + 5. Solve -f = -2*i + 5, 5*s = 5*i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by -1.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 25265316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24643870 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: Suppose -5*b + 569 = 3*i, 2*b - 5*i = 228 + 12. Suppose 130 = 5*t - b. What is the remainder when t is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 335\/(-40) + (-2 - ((-11)\/1 - (-275 - -274))).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3110311 + -1?\nAnswer: 3110310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 1:24 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 585*k**3 + 4*k - 4*k - 583*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -24*u**2 + 11*u - 88. Give h(5).\nAnswer: -633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6825 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 + 40 = 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1719*b + 2945 - 2945 + 8*b**2.\nAnswer: 8*b**2 - 1719*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 271771184 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 + 6.52. Let h = l - 6. Let g = -1 - 4. What is the nearest to 1 in h, 0, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -25)\/2 - -1. Suppose u - d = -1. Let g = -34 + 72. What is the remainder when g is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 151315095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(1\/2) + 7. Let u(w) = -2*w - 19. Let y be u(-12). What is the third derivative of 6*k**5 + s*k**y - 19*k**5 + 5*k**2 wrt k?\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h - 114*h - 43 - 51*h wrt h?\nAnswer: -167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-965024)\/(-13656))\/((-8)\/(-6)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = f + 5*z, -53*f + 54*f = 2*z - 3. Which is bigger: f or -2\/7921?\nAnswer: -2\/7921","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Let f be (10\/(-25))\/((-2)\/60). Let c be f\/4*(-4)\/33. Which is greater: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -4\/3 (c) 0 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 5*d + 64 = 58, -s - 6*d - 16 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/471 at least -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 1512 - 1512.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 357 - 25. Suppose -4*m + 4*v + c = 0, -4*v = v + 10. Is 2\/9 + 33435\/m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 - 18*n**3 + 5*n**3)*(-1 + 0 + 0)*((-7*n + 1 - 1)*(-1 - 3 + 0) + 2*n - 3*n + 2*n).\nAnswer: 522*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127\/10 + -106\/5. Which is smaller: g or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 793*j**2 - 19*j**3 - 793*j**2.\nAnswer: -19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 757.0000762 - 757. What is r rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.2. Let o = 13 - 14. Which is the second smallest value? (a) 4 (b) o (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1669.7345177 from -4.\nAnswer: 1665.7345177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -4498 + 4210. Calculate the greatest common factor of j and 1152.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0 - 17*k**2 - 1\/2*k**3 + 0*k**4 + 0*k + 1\/20*k**6 + 0*k**5. What is the first derivative of v(d) wrt d?\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*m**2 + 3*m**4 + 0*m**4 - 2*m + 2*m**4 - 3*m**4 as u*m**3 + n + b*m**2 + o*m + q*m**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27803 + -570903. Round z to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 170*k**2*q**2 - 2*k*q**2 - 4*q**2 + 17 wrt k.\nAnswer: 340*k*q**2 - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -0*q - q. Let j be ((-8)\/(-20))\/(q\/5). Let b(z) = 100*z - 1897. Let f be b(19). Solve 5 = 2*y + m, y = j*y + f*m + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -108\/7 + 106\/7. What is the biggest value in i, -2.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 292500 to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 113 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0587597346 to four dps.\nAnswer: 0.0588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 487 = -241. Solve -4*o = -3*t - 0*o + 7, 2*t + p = -5*o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*sqrt(13)*2.\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2689.\nAnswer: 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31\/2 of a tonne?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7 - -4) + 4)*-5. Let c = 8 + u. Suppose p - 71 = c*h + h, 5*p - 291 = 4*h. What are the prime factors of p?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00068072059 rounded to five decimal places?\nAnswer: -0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666 is divided by 85?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*c**5*g + 15*c**3*g - c**3 + 5*c**2*g - c*g + 217*c wrt c.\nAnswer: 3060*c**2*g + 90*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 1 + 1 - 12*p - 4*p - p + (-3*p + 2*p - p)*(-4 - 12 - 1))*(-6*p**2 + 3*p**2 + 4*p**2).\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -651, -793, -1029, -1359, -1783, -2301, -2913?\n\"Answer: -47*q**2 - q - 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-2)\/(-18)*3). Let t = x + 10. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-73 - -86 - (0 + 9)) - (-6 - 58).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.23325 and -0.1?\nAnswer: 0.33325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 12:29 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/180 and 143\/240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -36, -3 in ascending order.\nAnswer: -36, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.6 + -5.6. Which is the fourth biggest value? (a) n (b) 2\/11 (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5081, -3, -6, 0 in decreasing order.\nAnswer: 0, -3, -6, -5081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*u + i - 173, 2*i = -2*u - 62. Suppose -4*d = 5*o + 155, 6*o - 3*o + 3*d = -90. Which is bigger: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**2 + 14*l + 12. Let y(w) = -45*w**2 - 122*w - 108. Let o(q) = -19*f(q) - 2*y(q). Give o(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - r - 4*r)*(3*r**2 - 9*r**2 - 2*r**2) + 0*r**3 - r**3 - 3*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/1*(-31632)\/24. Round a to the nearest 100.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 + -75. Suppose t + 8*b - x*b - 11 = 0, t = -5*b + 20. Solve 5*l - 15 = 0, t*o + 5*l - 12 = l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*h**2 - 4*h**2 - h**2)*((1 + 0 - 2)*(1 + 0 + 1) - 1 - 3 + 2) as t*h**2 + v*h + y and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -3\/2*v**2 + 0 - 6*v + v**3. What is the derivative of y(d) wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 66, 54, 18, -54, -174, -354, -606?\n\"Answer: -2*p**3 + 2*p + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w**3 - 2*w**2 + 3*w + 2. Let g be s(2). Let j = 13 - g. Let l = j - -239\/4. Which is the closest to -1? (a) 4\/3 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 6:17 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*2*-5 + sqrt(704) + 5 + sqrt(704) + 0)*-4)**2.\nAnswer: -10240*sqrt(11) + 721296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(208) + -4 + -4*sqrt(208)*-2)*2)**2.\nAnswer: -1280*sqrt(13) + 83264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**3 + 11*d**2 + 3*d + 2. Let r(c) = -3*c**3 - 7*c**2 - 2*c - 1. Let n(y) = 5*g(y) + 8*r(y). Let k be n(0). Solve 3 = -5*x + k*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12318877\/21 greater than or equal to -586612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -36 - (5 - -4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*p + 21448 = 1648*p - 435*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 - -64. What is the lowest common multiple of 8 and 20 + (24\/t + 3)*0?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -9) + (-10 - 7) - -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-187)\/(-22) + -8 + (-4890)\/(-12) is divided by 155.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(25\/4)*40\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*n + 27*n - 23*n**2 - 12*n + (3 - 2*n - 3)*(0*n - 3*n + 5*n) + n + n**2 - n.\nAnswer: -26*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1379813*f**2*r - 3*f*r + 2*r - 41438 wrt f?\nAnswer: -2759626*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105 + 192 - 2629*s + 19267*s - 87 to the form p + o*s and give o.\nAnswer: 16638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 3:50 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 491, 1916, 4289, 7610, 11879, 17096, 23261?\nAnswer: 30374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 12:27 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c + 9. Let l(n) = 13*n + 37. Let a(q) = -13*q - 37. Let m(t) = -3*a(t) - 4*l(t). Let v(f) = 9*g(f) + 2*m(f). Determine v(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 57?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 20, -t - 5*t + 2*c - 42 = -10*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + a - 9 + 4 + (-2 - 5 + 5)*(-2*a - a + 2*a).\nAnswer: 3*a - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b**2 - 1 + 2 + 5*b**2.\nAnswer: -9*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -1 - 9) + (21 - 21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5833700 rounded to the nearest 100000?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**8*u*u**(-1\/11)*u**4*u\/((u*u*u\/u**(-2\/13)*u)\/u) assuming u is positive.\nAnswer: u**(1538\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9259.245cm to millimeters.\nAnswer: 92592.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40450285.\nAnswer: 5, 8090057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 0*k**4 + 0*k**2 + 0*k**3 - 1\/5*k**6 + 3\/140*k**5 + 156*k + 13\/98*k**7 + 0. Factor d(s).\nAnswer: 3*s**3*(s - 1)*(13*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932496 a multiple of 449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 15620*x**2 - 931800*x - 13950000.\nAnswer: -2*(x + 30)**2*(x + 7750)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -394 divided by 2?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 17. Suppose 5*q = k + 242, 2*k - 140 = q - 4*q. What is the lowest common multiple of q and f(3)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/10*-77*(-1155)\/(-35574).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(5\/7)*t*t**(-2\/5))\/((t\/((t*t*t**(-24))\/t)*t)\/t**(2\/17)) assuming t is positive.\nAnswer: t**(-13428\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x - 1. Let z be d(-1). Suppose 116*q = 110*q - 7848. What is the units digit of q\/(-8)*2\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2491 is divided by 47?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (11 + -50 + 38).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 5*r**2 - r - 2. Let m be f(-5). Let v = 51 - 24. Suppose -9 - v = -m*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 15 = -4*v, 4*v - 2*z = -5*z + 5. Suppose -2*x + 640 = v*f - 169, 0 = 5*f + 4*x - 803. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22045 - -22080. What is the closest to -1 in -3, -0.4, s, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/6)*t*t**8*(t*t**1\/t*t)**(3\/11) assuming t is positive.\nAnswer: t**(641\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -13471777 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 405*h - 409*h + i - 272, -4*h - 272 = 4*i. Put -1.2, 1\/8, h, -1 in decreasing order.\nAnswer: 1\/8, -1, -1.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-14) + 230\/(-70) + 9. Let h be (-48)\/90*(-9)\/j. Put h, 3, -0.1 in descending order.\nAnswer: 3, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/10 and (-12 - -4)*(-88)\/(-360)*-1?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32687.\nAnswer: 32687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express z + z**3 - z**2 + 0*z + 1 + 0 + 3*z**4 + 3*z**2 as l*z + w*z**3 + u + f*z**2 + q*z**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (12 - 0 - 1). Let j = -5 - -9. Suppose -j*w - 15 = -b*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 24 = 4*k, -k - 2 = -59*d + 56*d. What is the nearest to 0.1 in 2\/13, 2, k, -0.07?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v**(-1\/3)*v**1*v*v**(-4)*v)\/((v**(2\/7))**(-8\/3)\/((v\/v**7)\/v**6)) assuming v is positive.\nAnswer: v**(-102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**6\/90 - i**5\/60 + i**4\/6 + 2*i**3\/9 - 4*i**2\/3 + 639*i. Factor c(z).\nAnswer: -(z - 2)*(z - 1)*(z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 divided by 63?\nAnswer: -19\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*m - 987 + 987)*(0 + 0 + m + (0 + 0 + m)*(2 - 2 + 1) + 3*m + 0*m - m + 7*m - 6*m + 7*m).\nAnswer: 576*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 56 + 2 - (-182 + 104 - -48)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012200343 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quu when three letters picked without replacement from pupuqqqqq.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124 - -327. Suppose 57 + u = 2*r. Calculate the remainder when r is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428448.\nAnswer: 2, 3, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**4*n + 2*g**4*o**2 - 34*g**3*n*o + 11*g**2*n*o - g**2*o**2 - 15*g**2 wrt g.\nAnswer: -24*g*n + 48*g*o**2 - 204*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/18 - (-19)\/(-57) and -43\/783.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -346 - -633. Let a = q - 286.9. What is the second biggest value in -5, a, 0.5, 37?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + -1 + sqrt(1872) - sqrt(1872)) + 4 - (sqrt(1872) + -2 + (sqrt(1872) - -2*sqrt(1872))))**2.\nAnswer: -360*sqrt(13) + 16873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 42 = 2*o + 7, 0 = -5*o - 10. Calculate the greatest common factor of d and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1551*l - 2 + 0 + 2 + 894*l.\nAnswer: 2445*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.432 - -1.43204648. What is h rounded to six dps?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + z + 12, 4*r + 4*z - 2 = 6. Let u(k) = -k + 8. Let i be u(0). Solve r + i = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 0*s**6 - 11 - 14\/3*s**3 + 0*s**2 - 24\/7*s**7 + 0*s**4 + 0*s + 0*s**5. What is the third derivative of m(n) wrt n?\nAnswer: -2880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -20?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4219932 rounded to the nearest ten thousand?\nAnswer: -4220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - 8)*2\/(-5). Let z(j) = -9*j + 6. Let g(n) = 8*n - 5. Let c(q) = o*z(q) + 7*g(q). Calculate c(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-90)\/54 - 30\/9. Sort 16, s, -1, -2 in decreasing order.\nAnswer: 16, -1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.3 + 3.3. Let g = v + 16.2. Let c = -0.1 + g. Which is bigger: -12 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 1254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 300210130013 (base 4) in base 14?\nAnswer: 1996007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 212 + -210. Is 121\/((-9 + 7)*(-1)\/b) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728979203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5)*z\/z**19*z*((((z**(2\/7)*z)\/z)\/z*z)\/z)\/(z**(-1\/5)*z) assuming z is positive.\nAnswer: z**(-823\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 5:47 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36125339 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5906 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**6\/360 - 4*y**3 - 104*y**2. Let q(n) be the first derivative of k(n). Let s(b) = -2*b + 3*b - 5*b. Calculate q(s(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16584.5 + 16585. Let i = 1 - 0.7. Sort 1\/3, d, 2\/51, i in increasing order.\nAnswer: 2\/51, i, 1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 31 = -1. Let o be (20\/12)\/(5\/k). Suppose -508 = -o*m + 57. What is the remainder when m is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 9. Let w(a) = -2*a. Let v be w(b). Let m = 8 + v. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 4 = 7*j. Suppose d = j*d. Solve 0 = 5*t - 5*h + 15, d = 5*t + 4*h + 21 + 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*-2 + 1 + 5.\nAnswer: -12*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -1025.\nAnswer: -5125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from {w: 1, k: 2, l: 2, p: 1, s: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/4714 and (64155\/126)\/47 + 1.\nAnswer: 14142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 29\/6 - 9\/(-54). Suppose 5*l = -5*z - 45, 6*l - f*z = 2*l - 9. Let s(g) = -g**2 + g + 1. Let u(t) = 8*t**2 - 6*t - 6. What is l*s(a) - u(a)?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 7 = -9*n. Suppose j - 6*j = -20. Let p = 9 + -5. Solve -j*a = -p*m, 0*m = n*m + 2*a + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -11*x**4\/12 - 8*x - 4. Let g(r) = 12*r**2. Calculate y(g(h)).\nAnswer: -1584*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -37, -82, -129, -178?\n\"Answer: -q**2 - 42*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198640 and 416?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + -12340100031?\nAnswer: -12340100044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 249*p - 5724. What is z(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 5, 0 in decreasing order.\nAnswer: 5, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -12. Let z(s) = -2 - s**n + 2. Let c(w) = 8*w + 0*w + w + 12*w. Give z(c(i)).\nAnswer: -441*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 8*v + 36, o + 3*v + 0 = -2 - 9 + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3664\/75 at most 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9*(y*y**26\/y*y)\/y)\/(y\/((y**(-4\/7)\/y)\/y)*y*y\/(y\/(y**(-3\/4)\/y))*y) assuming y is positive.\nAnswer: y**(873\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-41 - 1)\/(1156\/(-51)) and (-44)\/(-2) - (36\/8 - 5).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 3*g + 4*g**2)*(71*g + 15*g**2 + g**2 - 17*g**2).\nAnswer: -4*g**4 + 284*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 7 = m, m - 2*d = 3*m + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4485282?\nAnswer: 2, 3, 747547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u + 3*u - 3*u)*(2 + 3 - 18) to the form o*u + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2460, -10098, -22888, -40824, -63900, -92110, -125448?\n\"Answer: f**3 - 2582*f**2 + 101*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2745 divided by -5?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**2. Let x(z) be the third derivative of -53*z**4\/12 - 103*z**2 - z. Calculate x(o(n)).\nAnswer: 424*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -235811944, -471623892, -707435840, -943247788, -1179059736, -1414871684?\n\"Answer: -235811948*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 25648*q**2. Let m(t) = 4*t. Determine m(k(n)).\nAnswer: 102592*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/336 and -25\/392?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 916265 a multiple of 540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6 - 13\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 2, q: 1, c: 7}. Give prob of sequence fa.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.5 (c) 37 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/((-10)\/12)*5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-4) + 1\/2. Let z(m) = -m**3 + 5*m**2 + 8*m - 13. Let d be z(6). Calculate the remainder when 0 - d - (-16 + o) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j. Let o(x) be the second derivative of x**4\/12 - 187*x**2 + 5544*x. Determine o(u(s)).\nAnswer: 4*s**2 - 374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4948*f**3 + f - 17934.\nAnswer: -14844*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, 224, 700, 1266, 1952, 2788, 3804, 5030?\nAnswer: 6496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*n**2 + 19*n - 22*n + 2*n**2 + (6*n + 9*n + 5*n)*(n + 0*n + 0*n).\nAnswer: 34*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -5, -4, 36, 0, 4 in decreasing order.\nAnswer: 36, 21, 4, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*w = 24487, 3*i + 15*w = 18*w + 73461. Does 228 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**3\/3 - 3*b**2 + b - 4. Let x be p(6). Solve -a = x - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 15530*y**2 - 7*y - 164. Is j(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17314 - -16868. Do o and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 + 8 = 0. Let u(p) be the first derivative of -p**2\/2 - p + 2. What is the least common multiple of 3 and u(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 10*j**2 - 3*j + 4. Let c be g(-4). Let d(o) = o + 51. Let v be d(c). Differentiate -v + 65 + 2*b**4 + 2*b**4 - 5*b**4 with respect to b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 5*c**2 - 2*c - 7. Let j(o) = 4*o**2 - 6*o + 1. Let g(s) = s**2 - s. Let n(p) = -6*g(p) + j(p). Let f be n(2). Let v = -12 - f. Determine w(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*d - 26*d + 102*d.\nAnswer: 108*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -0.46, 2\/3 in descending order.\nAnswer: 2\/3, -0.46, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 2:45 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.162 - 3.262. Suppose -i - 3*i - 4 = 0. What is the third smallest value in p, -5, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 8:16 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 297\/33*(9\/27)\/((-2)\/4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 65541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9970, -11790, -13696, -15730, -17934, -20350, -23020?\nAnswer: -25986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160170063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 + 452*w**2 + 1362*w.\nAnswer: -2*w*(w - 681)*(w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.615142 centuries to decades.\nAnswer: 86.15142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25.3526676 or 3?\nAnswer: -25.3526676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**(-1\/3)*y)\/y))**(-18)*y**(3\/11)\/y*(y**(-3\/2)\/y)\/y)**(-19) assuming y is positive.\nAnswer: y**(11799\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -431, -432, -433, -434, -435?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48270732.\nAnswer: 2, 3, 29, 59, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, 2\/5, -1, 0.749, -3, 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from {c: 1, i: 2, d: 1, y: 2, g: 6, j: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**2 + 4. Let j(q) = 5 + 2 - 1 - 2*q**2 + 3*q**2 - 7. Calculate 6*j(l) + 2*v(l).\nAnswer: -4*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 230*l + 480.\nAnswer: -5*(l - 48)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 - 27*n**2 + 37*n + 464. Give b(-14).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14365*b**5 + 2*b**2 - 70*b + 73.\nAnswer: -861900*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - q - 163 + 12 + 9 - 121.\nAnswer: -q - 315","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (73\/(-292))\/((-11)\/(-1540))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -58?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132502406.\nAnswer: 2, 3, 7, 3852049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 25*a**3 + 8*a**2 + 11*a. Let s(j) = 24*j**3 + 8*j**2 + 9*j. Determine -5*i(f) + 6*s(f).\nAnswer: 19*f**3 + 8*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1300) + (sqrt(1300) + (sqrt(1300) - (sqrt(1300) + 2))*2 - sqrt(1300)) + sqrt(1300) + -1*(sqrt(1300) + 1 + sqrt(1300)) + -2 + -1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -304 + 312. Let c be m\/(-6) - (22\/(-3) + 5). Solve 4*x + 3 = -c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 + 7*i**2 - 2*i**2)*(3 + 8 - 3)*(-2*i - 3 + 3) as x + j*i**3 + y*i**2 + c*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.7 + 9.2. Put 0.07, 0.5, -3\/5, o in descending order.\nAnswer: 0.5, 0.07, o, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -787 - -784. What is the closest to s in 0.02, -2\/7, -19?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + -0.7. Is 14 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4189.249 micrograms in tonnes?\nAnswer: 0.000000004189249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14068 + 14050 + v**2 - 28118.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/152 and 27\/134?\nAnswer: 10184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 17*q - 7. Let h be d(16). Solve -n = 2*o + h, -3*o + 3*n = 8 + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25748 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 255 + -255.1. What is the smallest value in -2\/17, -3\/2, 0.4, y?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 173 - 149.2. Let m = v + -19.8. Which is the biggest value? (a) -4 (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.65 - 274\nAnswer: -278.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*a**3 - a**2 - 11*a**4 + 18*a**3 - 614*a + 612*a - 323 to the form z*a**2 + o*a**4 + j*a + c*a**3 + q and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 28.9\nAnswer: -14.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/33*(-1)\/(4\/(-6))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f. Let r(a) be the second derivative of 13*a**3\/6 - 16*a. Calculate s(r(b)).\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68 - 30 - 71 + 10*x**2 - 3*x - 53 to v + i*x**2 + j*x and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*d - 3*d. Let t(h) = -3*h**2 - 27*h - 44. Let p be t(-2). Let x be 0 - (-1 + 2*(-3 - p)). Put d, x, -1, 4 in decreasing order.\nAnswer: 4, x, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -23. Let z be 4 + (-3)\/(y\/(-8)). Is -1\/2 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 17. Is 2\/205 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide -95073*14\/(-15 + -27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.132 times -0.5?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9797041 is divided by 9797015?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(187) - ((sqrt(187) - sqrt(187)*1) + sqrt(187))) + sqrt(187))\/(sqrt(110)\/(2*sqrt(10))) - (2*(-2 + sqrt(17)) - (-3 + -4*sqrt(17))))**2*-2.\nAnswer: -546 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w + 5 - 1 + w.\nAnswer: -6*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 32*c - 1184. Let i be w(37). Solve s - 24 = 5*t + 3*s, -2*s - 4 = i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 8. Let i be k(6). Suppose -5*p = 25, -8*n = -4*n - i*p - 26. Solve -2*q - 2*q = n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1.37, -5, 2\/7, -56, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + e7?\nAnswer: ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 7*w**2 + w - 4. Let g be d(7). Let l be (3\/(-8))\/(g\/1). Let s = 5\/39 + -6\/13. Which is the nearest to 2\/7? (a) -1\/11 (b) s (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**6 + 12597*z**4 - 31*z**2 - 17*z.\nAnswer: 360*z**3 + 302328*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -471200 divided by 1550?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -7, 5, 2, 1 in ascending order.\nAnswer: -24, -7, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 3, 15, -0.2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3291, -13208, -29769, -52974, -82823?\n\"Answer: -3322*c**2 + 49*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1234*m**2 + 3 + 1 - 312*m**2.\nAnswer: 922*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - 16 - (-4 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {f: 1, p: 1, z: 1, n: 1, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57079\/32440 - -28\/811. Calculate the common denominator of 56\/45 and z.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 6 = 12*f. Let n be (-2)\/(4*(-3)\/(-4))*f. Suppose -n*t - 4*r + 3*r + 126 = 0, 3*r = -12. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/12)*o)\/o)\/o*o**21\/o*o assuming o is positive.\nAnswer: o**(241\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 7 = u - 21*q, 6 = 3*q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 349165801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 6869*r - 20600. Calculate u(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 3. Let h be (-2 + 1 + -2)*2. Let d be n(h). Let j be -3 - 1*(d - -2). Which is smaller: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.1232 rounded to 1 decimal place?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z = -38*z - 10. Suppose 9*f + 475 = z*f. Suppose 2*w + 2*w - b = f, -5*b - 352 = -3*w. What is w rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024053 rounded to 6 decimal places?\nAnswer: -0.000241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -l - 8*v + 12*v, -4*v + 6 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 11, w: 3}. Give prob of picking 4 z.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15 + 81)\/(10\/3105). Calculate the greatest common factor of 99 and s.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 192 - 156. Which is smaller: s or 320\/9?\nAnswer: 320\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 752 and 243159388.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p. Let w be ((-22)\/3)\/(-3 + (-63)\/(-27)). Suppose w*f = -13*f - 168. What is y(f)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3872.8091 to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-9 - -3 - -6 - 4) + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8222 and 22.\nAnswer: 90442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + (-24)\/9*165\/44. Sort i, 4, -5 in decreasing order.\nAnswer: 4, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(10\/6 + -3). Suppose 0 = o - 4, 4*d - r*o + 8 = o. Suppose -d*l = -2*s - 44, 58 = 4*l - 3*s + 1. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 3*p**2 - 2*p - 3. Let g be t(3). Let r(d) = 3*d. Let s(w) = w**2 - 13*w. Determine g*r(x) - 2*s(x).\nAnswer: -2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 8 = -1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 9 + 3 + -1 + 5 + -20\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1572036.2 rounded to the nearest 1000?\nAnswer: -1572000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/13940 + 245027\/5004460. Calculate the common denominator of 37\/18 and x.\nAnswer: 6462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 7*o - 11*o - 14 = 0, 2*o - 2 = -2*m. Sort m, 3\/4, 0.24, -2.\nAnswer: -2, 0.24, 3\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/8 - -7\/8. Let x(w) be the first derivative of 0*w + 0*w**3 - 3\/2*w**2 + 1 - z*w**4. Find the second derivative of x(m) wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13161034 is divided by 888?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19934 + -19939. Let u = 11.8 - 10. Sort -1\/6, m, 1\/3, u in descending order.\nAnswer: u, 1\/3, -1\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10524 - 33739 - p**2 + 14191 + (-4 + 4 - 2)*(-2 + 2 - p)*(4*p - 3*p + p).\nAnswer: 3*p**2 - 9024","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -231.09 times 0.4\nAnswer: -92.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, t: 4, l: 2}. Give prob of picking 1 t and 1 l.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -111111010000 (base 2) to base 3\nAnswer: -12112221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9245*p**4 + 3659279790*p**3 + 362096074813145*p**2 - 84208537920900*p + 4895848104500 = 0. What is p?\nAnswer: -197906, 5\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25810*b + 3*b**2 + 25810*b + 4*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14529587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134589 = -17*p + 134300. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 19 = 17. Let p = 0.051 - 23.051. Let w = -23.2 - p. What is the closest to -3 in 3, w, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + a - 2. Let q(o) = -26*o**3 + 6*o**2 - 6*o + 7. Give -6*f(n) - q(n).\nAnswer: 26*n**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**(-3)))\/(v**(1\/3)*v))\/((v*v**0)\/v)**(5\/14))\/(v**10*v*(v**(-10\/9)*v)\/v)**(-2\/17) assuming v is positive.\nAnswer: v**(-485\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - 1. Suppose 2*i - 5*i = -v. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138\/4*4\/3 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -10) + (-18 - 26)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66104071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -8769*w + 17569. What is x(2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/18*2 + 115\/(-3). Let c be (-11)\/((-132)\/(-64))*l. Which is smaller: 207 or c?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 480 and 8512?\nAnswer: 127680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t + 3*t - 2 + 0*t - 4*t. Let m be 54\/12*4\/6. Suppose -2*z - 3*n - 14 = -1, 0 = 3*z - n + m. Determine y(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8241 - -8245. Sort 1, 465, d in descending order.\nAnswer: 465, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184130, 183690, 182964, 181958, 180678, 179130, 177320, 175254?\nAnswer: 172938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21528*z**2 + 9*z + 0*z + 2*z**4 + 5499 + 3*z**4 - 4*z - 21535*z**2 wrt z.\nAnswer: 20*z**3 - 14*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2 + 2 = 0. Let m = x + -5. Let y(v) = 4*v**3 - 6*v + 8. Let s(c) = -5*c + 3*c**3 + 0 + 2 + 5. What is m*s(l) + 5*y(l)?\nAnswer: 2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 0.04 (c) -3 (d) -1\/2 (e) -0.4 (f) -1430\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7 + 16*f - 8*f + 2*f**2 + 1 - 9*f - 10*f. Give u(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 914*m + 14367. What is i(16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103 - 91. Let t be ((-27)\/(-4))\/((-6)\/(-16)). Calculate the greatest common divisor of t and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 129744.81 months?\nAnswer: 1081.20675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 3*c**2 - 4. Calculate l(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 804173.4 centuries in millennia?\nAnswer: 80417.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25971*b**3*y**3 - 6*b**3*y - 213*b**3 + b**2*y - 827*b*y**4 - 3*b*y + 2*b + 226*y wrt y.\nAnswer: 155826*b**3*y - 9924*b*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 11:45 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 342, 892, 1440, 1986, 2530, 3072?\n\"Answer: -v**2 + 553*v - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 0 + -5 + 0 - (-11 + 17)) + -3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.6, -3, 35.147?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30.41373 + 31.854329. Let y = g - 1.44. Round y to five dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 4*f**2 - 2 + (0*f - f + 2*f)*(-5*f + 3*f + 4*f) - 5*f + 2*f**2 + 5*f - f**2 + f**2 + 3*f**2 + (2 - 2 + 1)*(1 - 1 - f**2).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279312373?\nAnswer: 97, 2879509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19447 - -42.\nAnswer: -19405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 1 - 45 = -9*d. Let n(c) be the third derivative of -c**2 + 0*c - 1\/4*c**4 + 0 + 1\/3*c**d + 1\/60*c**5. What is n(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 1:29 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38.5 + 38.3. Which is the second biggest value? (a) 18 (b) 1\/5 (c) 6 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001332714 to 6 dps.\nAnswer: -0.001333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -0.5919.\nAnswer: -0.1919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w + 1. Let t(i) = -5*i**2 + 4*i + 6. Let n(o) = 7*o**2 - 6*o - 9. Let l(f) = 2*n(f) + 3*t(f). Calculate q(l(a)).\nAnswer: 8*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*w - 70765 = -111751 for w.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwzrwwzwwgzhwgpwww. What is prob of picking 2 w and 1 z?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 - 13*b - 9. Suppose -4*a - 1 = -21. Let l(p) = 0*p**2 - p**2 - p - 4 - a*p. Let z(v) = 6*i(v) - 13*l(v). Differentiate z(h) wrt h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.133*0.002\nAnswer: -0.000266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*t**2 + 189*t - 189*t + (4*t - 7*t - 5*t)*(t + 3*t - 2*t).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 229.133 and -36?\nAnswer: -8248.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-195 - 153 - 163)*((f - 6*f + 3*f)*(-2 + 2 - 1) + 3*f - 4*f + 2*f).\nAnswer: -1533*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/2)\/(4\/104). Let s = -17 - c. List the prime factors of s.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a = -185. Let q = -47 + 24. Let g = a + q. What is the highest common factor of 21 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -36. Calculate the highest common divisor of 12 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 15) to base 6\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 5*n**2 - 2*n - 4. Let f be x(3). Suppose 5*r = 7 + f. Suppose -25 = -r*i - 7. Calculate the smallest common multiple of i and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -34, -1, -38, 21, 4 in ascending order.\nAnswer: -38, -34, -1, 4, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5425169380.\nAnswer: 2, 5, 271258469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 118193?\nAnswer: -118192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -97.32 in descending order.\nAnswer: 5, 2, -97.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-88)\/220)\/((-2)\/(-10)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 27*u**4\/4 + 43*u**3\/3 - 101*u**2. Differentiate n(j) with respect to j.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -125 + 120. What is the closest to 0 in 0.5, b, -3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1463, 5895, 13273, 23591, 36843?\n\"Answer: -l**3 + 1479*l**2 + 2*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/(((-5)\/(-290))\/((-288)\/(-16704)))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12002221021022 (base 3) in base 5?\nAnswer: -1143334433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 9*s**2 + 9*s - 7. Let d be z(-10). Suppose -d*i - 2*c + 343 = 0, -2*i - 3*i + 2*c + 593 = 0. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 60 = -4*x. Let f = x + 538\/27. Are -1 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6*(6 + -3). Does 18 divide 3 - 99\/(o + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*p = -805, 2*q = 6*q - p - 656. Suppose 0*h + q = h. List the prime factors of h.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 9 = -2*u - 3, -9 = 4*z + u. Put z, -1, -5 in descending order.\nAnswer: -1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (120\/(-25) - -6)*170 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 907c (base 13) to base 2\nAnswer: 100110110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -0.0047?\nAnswer: -0.1047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -23223.7 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minus 2317420919?\nAnswer: -2317420782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -14. Let c(y) = 3*y + 5. Let p(h) = -2*h - 4. Let b(l) = f*p(l) + 4*c(l). Let t(x) = -x**2 + 3*x**2 - 4*x**2. Calculate b(t(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 738.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -5. Let f = b + -9. Suppose -11*c - 3 = -14*c. What is the closest to c in 1\/3, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.9 + -4. Let r = 0.1 - 0.4. Let n = r - p. Are -2 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32666381 is divided by 4188?\nAnswer: 4169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29763 - 10187 = 850*x for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16159 - 81. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30165876 to the nearest integer?\nAnswer: 5492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*v**4 - 3*v - 23 - 22*v**3 - 396*v**2 + 24*v**3 + 398*v**2 as b*v**2 + h + x*v**4 + d*v + l*v**3 and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a century in months?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*z - 84, -3*z = -y + 26 - 98. What is the highest common divisor of 230 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 (base 11) in base 14?\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 10*w**2 - 1. Let g(f) be the second derivative of 11*f**4\/12 - 7490*f. Determine l(g(t)).\nAnswer: 1210*t**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159*h**2*o*v - 3*h**2*v**3 - h*o*v + 83*o*v**3 - 6*o*v + v**5 wrt v?\nAnswer: -18*h**2*v + 498*o*v + 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*w - 90 + 400 = -282. Suppose -2*u - 8 = -6*u. Calculate the greatest common factor of u and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 13) to base 15\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 598\/(-14) + 20\/(-70). Let y = s - -64. Suppose y + 75 = 6*h. Solve -5*b - 24 = -d, -d = -0*d + 3*b + h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 733*m + 88. List the prime factors of h(1).\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 5*h + 2. Suppose 15 = -5*n + 5*v + 80, -3 = 3*v. Suppose -j + 75 = 4*j. Suppose 4*b = -2*c - 3*c + j, -2*c - n = -2*b. Determine k(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139593709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 + 74*o**2 + 328*o + 2. Let c be n(-4). Factor 0 - 2\/7*g**c - 6\/7*g.\nAnswer: -2*g*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z - 16. Let w be 54\/(-198) + 58\/11. Let j be (-44)\/(-24) - (-1)\/6. Sort w, z, j in descending order.\nAnswer: w, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/13, 0.5, 28, -0.36 in descending order.\nAnswer: 28, 0.5, -3\/13, -0.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*p + 6 = 1, 0 = -5*n - p + 20. Solve -i + n*m + 13 = m, -4*m - 33 = -5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 25, 77, 183, 361, 629?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 4*f - 7. Let y(o) = -90*o**2 + 16*o + 28. Let n(b) = 4*d(b) + y(b). Let m(g) be the first derivative of 2*g**2 - 1. Give m(n(l)).\nAnswer: -344*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*a\/(a**(2\/11)*a)*a)\/(a*(a**(-23)*a)\/a))**(2\/19))**(9\/13))**(-12\/11) assuming a is positive.\nAnswer: a**(-4536\/2299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 + 3*h**3 - 7*h**2 + 7*h**2.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b - -22?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + 1)\/(5\/15). Let u be 12*(-2 - r\/(-9)). Suppose u*l + 3*z - 54 = 0, 3*z - 5*z = l - 11. Calculate the highest common factor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25.3 + -25.2999898. What is k rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -68*h**5\/3 + 145*h**4\/3 + 52*h**3\/3 - 149*h**2\/3 + 16*h\/3 + 4\/3 = 0?\nAnswer: -1, -2\/17, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -42248, -169051, -380410, -676325, -1056796, -1521823, -2071406?\n\"Answer: -42278*k**2 + 31*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2423774527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/(-40)*(-5484875)\/75 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -1\/2*h**4 - 59*h**2 - 81\/2 - 10*h**3 - 90*h = 0?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4}. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 + (-2)\/(-6). Suppose -3*q + 80 - 14 = l. Suppose -37*i + 423 = -95. Calculate the lowest common multiple of q and i.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1500, 1639, 1780, 1923, 2068, 2215, 2364?\n\"Answer: w**2 + 136*w + 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 3*i + i)*(3*i - 4*i + 3*i) + 3*i**2 + 0*i**2 - 6*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -5.3. Let a = -0.05 + 2.05. Let w = a + -2. Sort q, w, 0.3 in decreasing order.\nAnswer: 0.3, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 - 45. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-10)\/120)\/(26\/((-1300)\/(-15)))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 40434.77us?\nAnswer: 0.04043477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2066 + 3294. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*m + 35, -f + 3*m = -m + 13. Suppose -1 = l - p - 22, -f*l + 71 = 5*p. Calculate the greatest common divisor of l and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/38)*s*s**(-8))\/((((s**(27\/4)\/s)\/s)\/s)\/((s**(2\/5)\/s)\/s)))**(-47) assuming s is positive.\nAnswer: s**(202241\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 116*f**2 - 5. Is u(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/21)\/(63\/(-392)*-20). Let w(u) be the first derivative of 8\/5*u - 11 - u**2 + g*u**3. Factor w(h).\nAnswer: 2*(h - 4)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -8*s**2 + 149*s - 203. Let a = -7 + 3. Let z = 15 + a. Calculate the remainder when p(17) is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119938 by 2.\nAnswer: 59969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*z + 2*b, -4*b + 4 = z - 3*z. Suppose -4*r + 3*t + 27 = 0, 3*r = -t + z*t + 24. Solve 2*w - 1 = -r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*x + 2*x = 62, 3*x = 5*v - 78. Suppose -b - 3 + v = 0. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 8*z + 5*z = -2*z. Solve 13*f + 396 - 318 = z for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/48 - (-4)\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**8\/1680 - w**5\/15 - w**4\/12 + 3*w**2. Let g(n) be the second derivative of c(n). What is the derivative of g(l) wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41*(880\/(-160))\/((-66)\/(-12))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*a - 9. Let s(r) = r**2 + 3*r + 2. Let h be s(-1). Let t be -19 + 19 + 0 + h. Solve t = g + a, -i + 6 = -0*i - g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 17779 - 10184. Calculate the greatest common divisor of 1240 and s.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1 - 2 + 2 - 2 + (0 + 0 + 1)*(-1 + 4 - 4) - 6 + 2 + 1)*(-2*m - 3*m + m).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 26*n + 176. Let s be b(-7). Is s*((-19760)\/600 - 2\/5) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -8*g**3\/3 - 41*g - 30. Let p(m) = -391*m - 2. Give c(p(o)).\nAnswer: 6256*o + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4439 and 11194?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 24.79808 decades?\nAnswer: 0.2479808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86.8 > -52737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 28 (c) -1\/5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q - 3. Let l be 30\/40*(1 - -11). Let o be h(l). Let d be ((-18)\/75)\/((-3)\/o). Is d at least as big as 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 1, a: 3}. What is prob of picking 1 i and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6561.693 nanograms in milligrams?\nAnswer: 0.006561693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1757813 - 0.027?\nAnswer: 0.1487813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 2165.16.\nAnswer: 2162.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1731 = -5*u - 4*s, 0 = u - s + 36 + 303. Let v(a) = 662*a**3 + 2*a - 1. Let c be v(1). Let z = u + c. What is z rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19801179 divided by 14\nAnswer: -19801179\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/63 - ((-176)\/(-2541))\/(-16)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000076838 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 17. Let c be y(7). Solve 3*h + 5*k - 13 = 0, 12 = 3*k - c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110482, -110251, -110020?\nAnswer: -109789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 46 = 50. Calculate the common denominator of 18\/a + 50\/8 and 71\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 1\/2*y**2 - 24*y + 0 + 1\/12*y**3 - 1\/24*y**4. Let g(a) = 0. Calculate a.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -146 - -306. Suppose -n = -2*k - 3*k. Suppose -2*z + 2*h = -2*h - k, -5*z = -5*h - 70. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 349068269 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1629 + 1925 = 271*b - 1324 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1240121440 - -12?\nAnswer: -1240121423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t. Let g(m) = -2376*m. What is g(i(k))?\nAnswer: 7128*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 36113260 * 0.05\nAnswer: 1805663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 151\/200 - 51\/200. Factor -u**4 + 1\/2*u**5 + 0 + 0*u + u**2 - l*u**3.\nAnswer: u**2*(u - 2)*(u - 1)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.59214 micrometers in millimeters?\nAnswer: 0.08559214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5182, -0.2, 5 in decreasing order.\nAnswer: 5, -0.2, -5182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 5*a**2 + a + 7. Let u be o(-5). Let w(t) = -2*t + 4. Let f(r) = 8*r - 17. Calculate u*f(v) + 9*w(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**6\/120 + m**5\/15 - m**4\/6 - m**3\/3 + 4*m**2. Let v(a) = -20*a - 43. Let n be v(-2). What is l(n)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3798045863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**4\/12 - 5*h**3\/6 - h**2 + h. Let g be i(-5). What is the nearest to -1 in -5, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4296 + 9*j**3 - 7*j**3 - 7619 - 588*j + 42*j**2 + 4315 = 0. What is j?\nAnswer: -31, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**3 + 6*o**2 + 2. Let z(k) = -10*k**3 - 13*k**2 - 5. Let m(p) = -5*g(p) - 2*z(p). Find the third derivative of m(h) wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -14*g + 11*g + 32, -13 = -y - 2*g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (2 - 3 - (-4 - -9)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88106360?\nAnswer: 2, 5, 929, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 92.489s?\nAnswer: 92489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 149?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/4880 and 3\/20?\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*g + 307 = -0*g, -j + 5*g = -315. Suppose 4*b + 0*b - 4*v - 232 = 0, 5*b = v + j. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18 + 18)\/((-8)\/(-12)). Suppose 3*w = -4*b + 18, 8 = b + 3*b - 2*w. Find the common denominator of -49\/4 and (1 - -5)*(h\/(-192))\/b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 28, 29?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 6*b**2 + 13*b - 22. Let l be q(4). Let j(n) = -6*n - 2. Give j(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435050 is divided by 30466?\nAnswer: 8526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 9:48 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1169 = -16*y - 0*y + 287. Are y and 77 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730162 is divided by 2355.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -501.2 and -0.1589 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -3*f**4 + f**3\/6 - 3*f**2\/2 + 22*f. Let a be k(-2). Let v = a - -208. What are the prime factors of v?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 606 and 2121.\nAnswer: 4242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -78097 and 88268.\nAnswer: 10171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -19*z**2. Let w be (1\/3)\/(-2 + 76423\/38211). Let h(i) = 12733*i + 2 - w*i - 2. Calculate o(h(a)).\nAnswer: -304*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**2 - 3369*h + 47424 wrt h?\nAnswer: -2*h - 3369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205802599.\nAnswer: 205802599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -35, 3, -0.1, -5\/228?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/w**(2\/7))\/w))**36)**35 assuming w is positive.\nAnswer: w**1620","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.5. Let h = -1.3 + -5.7. Let s = h + 6. What is the closest to s in -5, -2\/5, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**2\/9 - 92*l\/9 + 1058\/9 = 0.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 606376, 606375, 606374, 606373, 606372, 606371?\nAnswer: 606370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - -0.552. Let c = d - 0.672. What is c rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*v**2 + 3 - 2*v**3 - 3 to the form m + k*v + l*v**2 + o*v**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408494?\nAnswer: 2, 29, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -144*a - 803. Let p(z) = 62*z + 402. What is 3*h(l) + 7*p(l)?\nAnswer: 2*l + 405","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/60*(1302\/35 - 6)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -15. Let x = r - 5. Let z = -4.845 - 1.155. Sort 2\/5, z, x in descending order.\nAnswer: 2\/5, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/(-124))\/((-15)\/12)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b - 468 = 32*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6\/13)\/i**(-2))\/(i**15*i**(-3\/10)) assuming i is positive.\nAnswer: i**(-1711\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-14)*(-140)\/(-160)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d + 4. Let f = 19 + -9. Let g(l) = -5*l**2 + 4 + 4*l - 2 + l**3 - f*l. Let n be g(6). Let i(r) = -4*r - 3. Determine n*a(b) + 3*i(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -3\/188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 239722989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j**3 + 199*j**2 + 41*j + 53. Let v be w(40). What is the highest common divisor of v and 10230?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/385 and 73\/770.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276431100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 50 = 3*t - 5*t, 10 = -2*t. Let z = 6 - l. Sort -5, -16, z in increasing order.\nAnswer: -16, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 51 = -2*z + z - 28, 15*z - 13*z - 4*n + 68 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + 3 - 5*u**4 + 6*u**4 + u**2 + 2*u**3 as w + l*u + g*u**3 + q*u**4 + v*u**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + (13 - 21)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(-17 - -2)*(27 + 2528\/(-96)). Let z be (0\/(-1) - -100) + 0. What is the highest common divisor of t and z?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmm when three letters picked without replacement from {m: 4, w: 7, y: 2}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -87*b**2 - 17*b + 94. Let i(t) = -29*t**2 - 6*t + 31. Let l(c) = 17*i(c) - 6*w(c). What is the derivative of l(a) wrt a?\nAnswer: 58*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -102 + 1265382?\nAnswer: 1265280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*x + 1)*(-1 + 3*x + 1) + (0 + 0 + 2)*(-x**2 - 3 + 3).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 104, 170, 280, 446?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 2. Let q be k(2). Let v(y) be the third derivative of y**5\/60 - y**4\/8 + 2*y**3\/3 - 4*y**2. List the prime factors of v(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 686, 1577, 3024, 5027, 7586, 10701, 14372?\n\"Answer: 278*s**2 + 57*s + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g + 30. Let h be l(-8). Suppose 48 = 3*a + h. Put 3, -4, 2, a in decreasing order.\nAnswer: 3, 2, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -683 or 57733?\nAnswer: 57733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7222 (base 8) to base 5.\nAnswer: -104410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4083472391.\nAnswer: 307, 13301213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q - 15. Let v be 140\/(-273) + 2\/q. Let t = 0.386 - 1.386. What is the second biggest value in t, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjsooso. Give prob of sequence sj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -20*z**3 + 9*z**2 + 33*z - 151. Let x(g) = -11*g**3 + 4*g**2 + 17*g - 76. Let o(h) = 11*x(h) - 6*y(h). Factor o(q).\nAnswer: -(q - 2)*(q + 5)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28147, -112373, -252761, -449311, -702023, -1010897?\n\"Answer: -28081*j**2 + 17*j - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10882930*g**3*u**3 - 7*g*u**2 + 2*g*u - u**3 - 39*u**2 - 2249 wrt g?\nAnswer: -65297580*g*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(2*1*sqrt(8)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1001111010011?\nAnswer: -1001111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 41, -1\/1847 in descending order.\nAnswer: 41, 18, -1\/1847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, d: 3, c: 1, l: 5, n: 3, g: 1}. What is prob of sequence dcnn?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) -2\/9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 - 8 = 0. Suppose -3*h = u*h. Which is greater: h or 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-nine halves of a meter?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31849146116 + -31849147030.99998252. Let n = z + 915. What is n rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 4. Let t be o(2). Let f = 0.03 - -0.07. Which is the nearest to f? (a) t (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*j**4 - 6*j**3 + 42162*j**2 - 1419726.\nAnswer: 12*j**3 - 18*j**2 + 84324*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*-80 + -6?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -139, 2\/49, 3\/4, -2?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.06 - 0.06. Let m be (294\/(-12))\/(2 + 0). Let y = m - -12. Sort l, 0.1, y in decreasing order.\nAnswer: l, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33393 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/5 + 2754*n\/5 - 632043\/5.\nAnswer: -3*(n - 459)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10402 is divided by 2078?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b + 13*b + b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 60 = 10*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(1*(-7 - 2)) + 0. What is the third smallest value in -0.08, 5, b, 2\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 759*m**4\/4 - 45*m**2\/2 + 4*m + 298. Find the second derivative of p(l) wrt l.\nAnswer: 4554*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, 144, 621, 1548, 3075, 5352, 8529?\nAnswer: 12756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 12:43 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 + 44.9. Let u = q - -40.1. Which is the fourth smallest value? (a) -0.1 (b) -7 (c) -1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.3 - 100.4. Let j = 65 + b. Round j to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -20 + 37 + 4*r - 3*r**3 - 2*r**3 - 21. Let n(w) = -4*w**3 + 3*w - 3. Give 3*b(x) - 4*n(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 10 - 112. Suppose 0*q = -3*q + n. Suppose 3*s - 12 = -2*j - 1, 0 = 3*j + 2*s - 14. Solve o = -0*d - d - 2, j*o + d = -q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2064, 5619, -3.\nAnswer: -2064, -3, 5619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*f + 20 = -0*v, f = 3*v - 16. Let b = -78 - -117. Suppose b = -7*o + 151. What is the greatest common divisor of v and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/10)\/((-8)\/596160*-6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 0*s**3 + 0 + 4*s + 0*s**5 + 1\/30*s**6 + 0*s**4 - s**2. Find the first derivative of u(g) wrt g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18598, -18603, -18620, -18655, -18714, -18803, -18928, -19095?\n\"Answer: -p**3 + 2*p - 18599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 2*u + 2*u - 2*u + 12. Let q be m(-6). What is the greatest common factor of q and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2445 = -4*n, 0 = -0*n - n - 5. Suppose -x = -4*y - y - 97, y = -5*x + l. Let c = x + -55. Calculate the remainder when c is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -188*v**2. Let q(a) = 34*a**2. Give q(w(l)).\nAnswer: 1201696*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -174.\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -80*a**3 + a**2 + a + 1. Calculate m(-1).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -100 + -14 + 67 + (57 - 113)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156 - 152. Suppose 2*t + 724 = -p + 3*p, z*p - 1438 = 2*t. What is the greatest common factor of p and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-3)\/(6\/14). Suppose -5*d = 5*a, -3*d - c = -4*a - 0. Let j be (a - 4\/10)*5. Solve 0 = 5*t + 2*y + 24, -2*y + 7*y = j*t + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(240\/75)\/16. Let q(k) = 2*k + 4. Let i be q(-3). Sort -1\/3, v, i in increasing order.\nAnswer: i, v, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.762064729 rounded to one decimal place?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 158295, 158350, 158487, 158742, 159151?\n\"Answer: 6*v**3 + 5*v**2 - 2*v + 158286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263435*l + 25438*l - 301280*l + 127624*l.\nAnswer: -411653*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -262602079*y**3 - 11*y - 2826764 wrt y.\nAnswer: -1575612474*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 55\/780 + 4\/(-26). Which is the nearest to -1? (a) 1\/5 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 41, 8, 1, 0 in descending order.\nAnswer: 41, 8, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*n + 20*n + 220. Solve m = 2*s + 4, -2*m + n*m = 4*s + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 1:21 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/(2900\/30)*25\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a. Let u(p) = -35010381*p. Calculate r(u(q)).\nAnswer: 70020762*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -v + 2*v - 87, -2*v - 5*c + 161 = 0. Let t = v + -47. Let q = -26 + 39. Calculate the remainder when t is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1676383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/5 - (-108)\/20. Suppose 2*s - 6 = 4*z - 14, -m*z + 40 = 5*s. Solve s*d = -4*h + d, d = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 204 - 123 = 0. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/36*828\/(-4761)\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16*15\/180)\/(-4))\/(-3)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 856 and 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -5.3, -79, 1\/4 in decreasing order.\nAnswer: 1\/4, -0.3, -5.3, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/2 - 1)\/((2\/(-42))\/(2082\/21861)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by -22.\nAnswer: 27\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 384288 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0543? (a) 3 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 37\/5 of a kilogram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 5*t**2 - t - 8. Let u be l(4). Solve 3 = p + u*k, 4*k = -2*p - 1 + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -29. Let a(j) = j + 5. Let c be ((-9)\/6 - -1)*0. Let n be a(c). Solve 3*q + k = 0, 2*q = n*l + q - 29 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/5 + 69\/5. Let o = 18 - k. What is the highest common divisor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 6*z + 5. Let s be m(-5). Suppose 3*d - 2 = -14. Let q be (3\/s)\/(1\/d). What is the third smallest value in q, 0.3, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*((1015\/42)\/29)\/(10\/8).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -3 + -3)*8\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4638008?\nAnswer: 2, 17, 67, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/10)\/(12\/(-30)). Let s(t) = 5*t + m*t - 10*t. Let d(z) = -z**2. What is s(d(y))?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -741, -740, -739?\n\"Answer: m - 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(27\/3))\/((-112)\/(-224)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 11:02 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -1\/2, -5\/2, -2320733, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.28 and 86.5.\nAnswer: -24.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2052 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, 4, 2\/47077, -2\/11, -136?\nAnswer: 2\/47077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10607670 rounded to the nearest 10000?\nAnswer: 10610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 244 - 144. Let a = 213 - 188. Calculate the greatest common divisor of a and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -40*g. Let y(n) = 3*n**2. Give b(y(c)).\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = m - 2*l - 15, -5*m - 15 = 3*l. Let x be (1\/(-3))\/(m - 3\/(-9)). Put -5\/3, 2\/5, x in increasing order.\nAnswer: -5\/3, x, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/2496 > 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 3*s - 2, 3*m - 52 = -3*s - 43 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n = -117*n + 240576. What is the greatest common factor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m + 6. Let z(y) = -y**2 - 46*y - 72. Let i be z(-44). What is the remainder when w(-7) is divided by 224\/i*(-2)\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (284\/5)\/(28\/(-770)). Let y = r + 2238. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 15, 25, 39, 57, 79, 105?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2533 and 88804?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1670, -2848, -4026, -5204?\nAnswer: -6382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031 (base 5) in base 3?\nAnswer: 12020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (-3*sqrt(72) + sqrt(72))\/sqrt(6) - -3*sqrt(972))\/(-1*-2*sqrt(864) - (sqrt(864) + sqrt(864)*2)*-4).\nAnswer: 5*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 16, -11, 0.2, 1, -77, -41?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -763979, -1527910, -2291837, -3055754, -3819655, -4583534?\nAnswer: -5347385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29 - 15*u**2 + 31977*u - 31977*u + (1 + 0 + 2)*(4 - u**2 - 4).\nAnswer: -18*u**2 - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -5 - (-4 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 8. Let f be ((-352)\/44 - (-209)\/26)*6. What is the second biggest value in r, f, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8178079 - 8178597.0677. Let b = 0.0677 + u. Let n = 518.0000281 + b. Round n to six decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 - 107 + 215 - 108 + 22*p. Let n(o) = o**2. Give n(h(r)).\nAnswer: 4*r**4 - 88*r**3 + 484*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/9357334 and 1\/7352191?\nAnswer: 102930674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r + 3. Let z(n) = -2*n - 16. Let a be z(-14). Suppose -2*s = 3*c - 5, -4*s - 5*c + c + a = 0. List the prime factors of p(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -278\/47 - -9931\/940. Let a = o + -17\/4. Suppose 0 + 4\/5*d**3 + 0*d**4 + 0*d**2 - 2\/5*d - a*d**5 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58966 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*d**4*o - 10*d**4 - 4*d**3*o + 101*d**3 + 1145*d**2*o + d + 5*o wrt d.\nAnswer: -696*d*o - 240*d - 24*o + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 0.0460852?\nAnswer: 5.0460852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3204 - 1603 + 1363 + 1115)*(-2*y**2 + 2*y**2 - y**2).\nAnswer: -4079*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-26) + 1120\/520. Factor -r + 5\/2*r**h + 0.\nAnswer: r*(5*r - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 21793 = -20*i. List the prime factors of i.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.9 + -19. Let k = b - 2.89974. Round k to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4141053 plus -2?\nAnswer: -4.4141053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 2954.926661562.\nAnswer: 2955.126661562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 5*h**2 - 12*h + 17. Let m be j(-7). Suppose 0 = 3*v - m*d - 24, -3*v + 2*v + 2*d = -10. Which is smaller: 50\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34992 and 70424316.\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 22*m**2 + 2*m + 5. Let o be c(-7). Let z = o - 28859\/27. Is 0 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 + -2)*(-12)\/(-3). Let w be 8 + -1 - n\/8. Suppose 0 = w*g + 4*l - 83, -2*g - g + 35 = -5*l. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 90\/70 - 2\/7. Solve -4*v - h = -5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*2 - sqrt(13)) + (-1*(2 + sqrt(13)))**2)*2.\nAnswer: 34 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) - 2\/8. Find the third derivative of 0*m + m**2 - 3*m**5 + b*m - 2*m**2 wrt m.\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 69 - 129 = -4*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -133*j - 121*j + 197*j. Solve -j = 7*x - 46 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 12*h**2 - 86*h - 16. Give q(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 7) to base 10\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 1174) + (0 - -2). Let f be (0 + 1)*(14 + 1). Let w be 10\/f + k\/3. What is w rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/5096995 and 81\/2.\nAnswer: 10193990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(114\/(-15) - -2). Let r = -57\/2 - g. Which is the closest to -2\/3? (a) -1 (b) r (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1820106 is divided by 113726?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 4:36 PM?\nAnswer: 46","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 11189.23 micrograms in kilograms?\nAnswer: 0.00001118923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 9*w**2 + 23*w - 1. Let q = 96 - 104. List the prime factors of x(q).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2) - (-28)\/8. Suppose -d + 4*s = -1, -c*s = 3*d - 3*s - 36. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -101121111122221?\nAnswer: 101121111122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -6. Let j = 2 + c. Solve -4*b = b + j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zozoofozwmwwzm. Give prob of sequence of.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 5:49 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4 - 28\/28\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 - -67. Let c be -1 + 0 + w + 2. Determine z, given that -24*z**3 + 12*z + 5*z**3 + 618*z**2 - 8*z**c - 633*z**2 = 0.\nAnswer: -1, 0, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(6\/(-42)*(-4)\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 9*(0 - 296\/336)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1462666?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**3 + 5592*g**2 - 2605872*g + 404778784 = 0.\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 32*h - 228. Let z be f(68). Calculate the greatest common divisor of 296 and z.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**2 - 5*a**2 - 2 + 2*a + 4*a. Suppose -f + 4 = 8. Let c be (3 + f)\/(1\/(-5)). Give g(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10.2 and 118414.\nAnswer: 118403.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -934*d**6 - 717*d**4 - 1608808*d**2 - 2*d?\nAnswer: -112080*d**3 - 17208*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 6*k**3 + k**3 + 2*k - 4*k**3. Let f(n) = -14*n**3 - 11*n**2 - 11*n - 1. Let u(d) = -2*f(d) - 11*j(d). What is the derivative of u(s) wrt s?\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 11 - 44*k**2 - 5 with respect to k.\nAnswer: -88*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + m + 1. Let s(u) = 7*u**2 + 11*u + 2. Let t(a) = s(a) + 3*x(a). Determine t(-11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 10:32 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -104 + 106. Suppose -5*l + 13 = -2*v + 3*v, v + 7 = 5*l. Suppose i - 6 = -3*j - 2*j, 6 = -v*j - 3*i. Solve c = 2*s + 5*c - g, -4*s + 10 = j*c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -2. Let l = u - -2.1. What is the third biggest value in -0.4, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8481122 divided by 1781.\nAnswer: -4762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/15, -2\/5, -0.28, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c**3*y - 2*c**2*y - 281*y wrt c.\nAnswer: -12*c**2*y - 4*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 - (-33 + 60 + -22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) + -1 + (sqrt(72)\/sqrt(2) + sqrt(36))\/sqrt(12).\nAnswer: -1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99559.\nAnswer: 99559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/5)\/(c*c*c\/((c\/c**(-8))\/c)*c))\/(c**(-3)\/c)**47 assuming c is positive.\nAnswer: c**(959\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 35 = 5*f, 4*x = -14*f + 16*f + 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**2 - 8*c + 51. Let n(b) = 21*b**2 + 37*b - 206. Let i(g) = 6*n(g) + 25*x(g). Determine i(-18).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -649 or -648?\nAnswer: -649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8\/25)\/((-8244)\/(-103050))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1869\/52 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 118. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - (1 + sqrt(931) - sqrt(931))*4 - sqrt(931)) + -5 - (0 + -2*sqrt(1216)*-5))**2.\nAnswer: 1440*sqrt(19) + 121681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/4)\/4 - 5. What is the nearest to -1 in 12, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d + 0*d - 4 + d. Let l(h) = -h**2 - 4*h + 12. Let n be l(-5). Is 12 a factor of j(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 3*c + 17. Let q be g(8). Suppose 3*y + q = 49. Let j be 18\/(2*(-9)\/y). What is the highest common factor of 216 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 137 = 5*d + 12*t, 5*d - 2*d + 14 = -3*t - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -528878499491\/2109 - -250772176. Let i = m + -3\/703. Find the common denominator of i and 206\/182 - (-4)\/26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqqqxqqfpqfquqfxxqq. Give prob of sequence qff.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 162151 to the nearest one thousand.\nAnswer: 162000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-1)\/((-6)\/4). Let o = t + 0. Let b = 3 + -3.4. What is the second smallest value in b, o, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4446704 divided by -2223352.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -2*k**3\/3 - 4779. Let i(w) = -w**2 + 134. What is i(r(h))?\nAnswer: -4*h**4 + 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*1 + 2)**2 + sqrt(5) + sqrt(80) + 1*sqrt(80) + (sqrt(20) + 1 - (sqrt(125) - (0 + sqrt(125) + sqrt(125)))**2).\nAnswer: -115 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -14*m**2 + 2972*m - 20794. Give j(7).\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**6\/6 - 5*s**3\/6 + s. Find the second derivative of b(t) wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwy when three letters picked without replacement from yyywww.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 6*k + 4. Suppose -4*s - 4*f = -4, -4*f = 3*s - 8*f - 38. Let b be l(s). Suppose b = -5*v - 6. Let c(x) = 2*x**2 + 2*x - 1. Give c(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11182b (base 13) in base 5?\nAnswer: -100402230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1312 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (41 - 6 - 6) + (23 + -17 + 23 - 22)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 7:46 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 955196.\nAnswer: 4775980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17158.\nAnswer: 2, 23, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3520374 less than or equal to 3520373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - -5. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -452425012 (base 6) in base 9?\nAnswer: -16457638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 6*x - 4*x)*(0 + 1 - 3) + 0*x + 0*x + x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 8. Let o be 12*m\/(-14)*-35. Let g = 93 + o. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) -0.1 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-50 - (-19 + -1))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -453248.1432?\nAnswer: 453248.3432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7704 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284332083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14344 or 189?\nAnswer: -14344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -33.9. Which is greater: -0.34 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1989680985 to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 2*t**2 + 106*t - 118. Determine u(9).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 887604521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 + d**2 - 3*d - 4. Let a be k(-1). Suppose -6*g = -5*l - 2*g, g = -4*l. Do a and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w. Let p(m) be the third derivative of -m**7\/1008 - m**5\/10 + 6*m**2. Let l(d) be the third derivative of p(d). What is j(l(i))?\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3379640 divided by -2?\nAnswer: -1689820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 52. Suppose -720 = -8*x + 14*x. Let s = x - -154. Calculate the remainder when s is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5172535*o**2 + 2509214*o**2 - 10303326*o**2 - 2085084*o**2.\nAnswer: -15051731*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -22*a + 1. Let b be j(-1). Let v = b + -27. Let w be v\/6 + 24\/9. Solve -2*l + 5*y - 1 = 0, -2*l + 0*l = -2*y - w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/221237 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 189 - -784. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 1 + (11 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0085814 to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1324 divided by -331\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o = i - 12, -4*i + 20 = 2*o. Let t(f) = 47*f - o*f**2 - 5*f**2 - 1 - 17*f - 24*f. Let c(y) = -y**2 + y. Determine -6*c(z) + t(z).\nAnswer: -z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5\/12, 16, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17731 and 0.5.\nAnswer: -8865.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 12:30 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eck when three letters picked without replacement from {d: 3, p: 6, c: 2, k: 5, u: 1, e: 2}.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/648 and (-1509)\/6036*((-124)\/(-162) + (-1)\/2)?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -134868*d**2\/7 + 92789176*d\/7 + 5504\/7.\nAnswer: -4*(d - 688)*(33717*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52110 less than 1719634\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irrdbrbbdr. What is prob of picking 1 r, 2 d, and 1 i?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7 - 3 = 0. Let y be (-4)\/(-5)*(2 - -3). Solve 3*s - y = r*w, -3*w = 4*s - 6*s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60.0381804 - 112.03818174. Let m = -52 - k. What is m rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58027 is divided by 558.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kikikklkiikilki. What is prob of picking 2 i and 1 k?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3470489 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1320 = 11*f. Let y = f - 162. Suppose l - 7 = -2*w, -3*w + 16 = l - 5*l. Put -5, w, 2, y in ascending order.\nAnswer: -5, 2, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -601*s + 1128 = -883*s. What is the nearest to 0 in 0.1, s, -3, -2.273?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4 - 1968540*m**3 - 322655401314*m**2 + 89812336276740*m - 6244601865349683 = 0. Calculate m.\nAnswer: -328229, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 88162*w - 440763. Give p(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/480*(-104)\/(-65)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140398?\nAnswer: 2, 70199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34879320 by -6975864.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)\/((q**(2\/7)\/q)\/q))**(-4) assuming q is positive.\nAnswer: q**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*i = -103*i - w + 67, -46*i = -w + 781 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**5\/20 - 25*v**2 + 188*v. Let a(j) be the first derivative of p(j). Let o(y) = y + 4. Give o(a(f)).\nAnswer: -3*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t + 5*t + 2*t**2 + (2*t**2 + 0*t**2 - t**2)*(-3 + 2 + 0) + (-3*t**2 + 3*t**2 + 2*t**2)*(-1 + 3 - 4).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/9 (b) -0.5 (c) 5149 (d) -6\/19 (e) 14 (f) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4876 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -10*p - 1. Let i(n) = -n + 1. Let z(b) = -3*i(b) + q(b). Let h(w) = -209*w - 121. What is 4*h(g) - 121*z(g)?\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44.2 + -44. Let k = -0.11 + -3.89. Which is the third biggest value? (a) u (b) k (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125 and 7.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 + -2 - -10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3*r = -9, -10 = 3379776*h - 3379773*h + r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -55*y - 20. Let t(v) = -36*v - 15. Calculate -5*p(g) + 7*t(g).\nAnswer: 23*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - v**2 + v + 1. Let h(f) = 7*f**3 + 4*f**2 - 6*f - 5. Let j(d) = 6*b(d) + h(d). Give j(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 - 12048*i - 96437. What is n(-8)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -11. Calculate the least common multiple of 55\/(4400\/(-96))*(-5)\/3 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -216, -1, -2, 1022, 0 in ascending order.\nAnswer: -216, -2, -1, 0, 1022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -145, -216, -287?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 11:09 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1593 - -1591. Sort q, 13, -5, 7 in increasing order.\nAnswer: -5, q, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 - -1 - (840 - -6) - -1. Which is smaller: a or -852?\nAnswer: -852","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88975.49 years to centuries.\nAnswer: 889.7549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 15 + 9. Let j = 1 + q. Put -1, j, -3 in decreasing order.\nAnswer: -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, j: 5, c: 5, f: 2}. Give prob of picking 2 f.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -57, -19, 2\/3, -0.05?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3647080242899 + 0.\nAnswer: 0.3647080242899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8296306311962 and 0.1.\nAnswer: 8296306311962.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**2*v**2 + 118*r**2 + r*v**2 - 20*v**2 with respect to v.\nAnswer: 4*r**2*v + 2*r*v - 40*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 7. Suppose v + 3 = q - h, 0 = 3*q + 3*v - 9. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-6))\/((-18)\/16). Let d = j + -7\/36. Which is smaller: -5 or d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.46 - 59587.\nAnswer: -59616.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i = 28*i. Let c be (-1)\/(i + -1) - -4. Find l such that -3*l - 6*l**4 + 7*l - 3*l**c - l + 6*l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g. Let m(d) = 86938192*d. Calculate u(m(f)).\nAnswer: 173876384*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 = -0*f, -3*f = -3*y - 33. Let c be (660\/(-50))\/(-6) - (-2)\/y. Let -4\/3*n + 4\/9*n**3 + 8\/9*n**5 + 2\/9 - 2*n**4 + 16\/9*n**c = 0. Calculate n.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*l + 1082*l - 358*l - 368*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2652361 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -3666469?\nAnswer: 3666465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 763.2453 - 1362137.5553. Let m = -1361399.30999946 - g. Let u = 25 + m. Round u to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4280 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: Which is the fourth smallest value? (a) -5 (b) 3 (c) 2\/11 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25124, 50249, 75372, 100493?\nAnswer: 125612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6089389.8 rounded to the nearest one hundred thousand?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -0.07?\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 353*m**4 + 3 - 4 - 361*m**4 + 14*m**2 - 12*m**2 + 7*m**3 to d*m**3 + y*m**2 + r*m**4 + o + n*m and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + a - 1. Let j be f(-3). Put j, 1, 4 in ascending order.\nAnswer: 1, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609.8785 millilitres in litres?\nAnswer: 0.6098785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - a = -9 - 44, 5 = a. Let m = 364 + -94. Let c = m + t. Calculate the lowest common multiple of c and 10.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (41 - (94 + -25)) + 43 - -41?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*m**2 + 8*m**2 - 281711*m + 281705*m)*(11*m + 2*m - 6*m).\nAnswer: -168*m**3 - 42*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12786*1\nAnswer: -12786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 2151*p**2 + 2148*p.\nAnswer: 3*p*(p + 1)*(p + 716)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 7. Let c(j) = 43. Let p(f) = 579. Let v(o) = 54*c(o) - 4*p(o). Determine 5*n(x) + 6*v(x).\nAnswer: -5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 2*k**2 - 2*k + 4. Let j(w) = 2*w**3 - 3*w**2 + 4*w - 8. Let f(n) = 3*j(n) + 7*m(n). Give f(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2184.021um to kilometers.\nAnswer: 0.000002184021","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 5762162095\/396 - 160662534\/11. Let t = -54767 - g. Find the common denominator of -41\/54 and t.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 10. Let i be d(10). Suppose i = 3*q - 517 - 110. Let n be 3\/(-6) + q\/2. What is the highest common factor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*u - 86*u - 71509 + 525042. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 389*p = -70535 - 9169. What is the greatest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, 3\/7, 4\/7, 17, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -3*s**6\/40 - s**5\/60 - 16*s**4\/3 + 2*s**2 - 39. Find the second derivative of t(x) wrt x.\nAnswer: -54*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-212)\/252*-6 + -5. Let b = -3 + 2. Are y and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 - 53 - 33*a + (-1 + 1 + 1)*(-a + 0 + 0))*(-3 + 0 + 5).\nAnswer: -68*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/2669958 and -49\/3411613.\nAnswer: 61409034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (210\/(-1365)*26\/(-4))\/((-162)\/6)*-6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 3*g - 5*o + 31, -2*o = 3*g - 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 471046831 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**3\/7 - 2272*a**2\/7 - 6788*a\/7 - 4520\/7 = 0?\nAnswer: -565, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9+-1860957.0201\nAnswer: -1860966.0201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316625, 316611, 316597, 316583?\nAnswer: 316569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 2:23 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 2 - 9*s**4 + 267*s + 4*s**3 - 527*s + 259*s to the form a*s**4 + y*s + h*s**2 + m*s**3 + l and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*q + 30 = 0, 0 = -r + 4*q + 7 + 28. Solve t + 0*h + 3 = 2*h, -4*t = h - r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - j**2 + 3*j - 1. Is y(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 310 + -309.6. Let c = 0.24 + -1.24. Sort 2\/3, a, c.\nAnswer: c, a, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1112 - 0.\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 347459 and 9604.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4162358 or 4162362?\nAnswer: 4162362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times 10091?\nAnswer: 151365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 494.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*b - 125 - 15, 4*a + b = 134. What is the remainder when 684 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 10*q**2 + 11*q - 7. Calculate y(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*r + 2. Let n be r\/1 + (3 - 2). Solve -n*k - 37 = -5*g, -5*k = -4*g - 0*k + 40 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 8. Let o(w) = -9*w + 4. Is o(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/168939188 and -53\/37084212.\nAnswer: 1520452692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 13 - 3*x + 39 - 26.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3416856 to the power of 1\/2, to the nearest integer?\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 836 and 38874.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.2, -1\/4, 17302\/49 in ascending order.\nAnswer: -1\/4, 0.2, 1, 17302\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 105 = -6*v. Let k be (6\/10)\/(1\/v*-3). Let q = 3.5 + -3. Which is the biggest value? (a) k (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116529?\nAnswer: 3, 7, 31, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/5450)\/(18\/19590) - 12?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1094\/((-4779)\/(-141) - -3). Let n = -4\/289 - s. Let h = 30 + n. Which is smaller: -11 or h?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 96403486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 22. Let q(d) = 15*d - 479. Let b(m) = -q(m) + 2*y(m). Give b(47).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5710049 times -0.4\nAnswer: -2284019.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -45450485 divided by 9090097?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*l**2 + 249*l**2 - 124*l**2 - 136 - 367 - 2*l**3 - l as w*l + a*l**3 + v + h*l**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44707 or 44702?\nAnswer: 44707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 791358.3ml?\nAnswer: 791.3583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n + 9. Let l(y) be the second derivative of -y**3\/2 - 2*y**2 - y. Suppose -k + 772*z = 775*z - 4, 3*k - 27 = -4*z. Determine k*l(w) + 6*x(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (47 + -1077)*(-4)\/10 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 122, 125, 132, 143?\n\"Answer: 2*k**2 - 3*k + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**5\/60 + g**4\/4 + g**3\/2 + g**2. Let s be 2\/5*(19 + -4). Let i be k(s). What is the greatest common divisor of i and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -65*x**2 + 53*x**2 - 986*x + 986*x. Let w(o) = -279*o**2. Give w(i(n)).\nAnswer: -40176*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 5*t - 2*t)*(70 - 30 + 45)*(5 - 15 + 1 + (0 + 4 - 2)*(0 - 4 + 2)) in the form g + q*t and give q.\nAnswer: -1105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0121*30.1116\nAnswer: -0.36435036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + c - 1)*(-1 - c + 1) - 225*c - 242*c - 3844*c**2 + 467*c.\nAnswer: -3845*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 7*j - 512. Determine s(-23).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*d**2 - 21*d**2 - 75*d**2.\nAnswer: -190*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**3 - 69*k**3 + 14*k**3 + 12*k**3 + 11*k**3 + 5*k**3.\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2184*b**5 + 6488*b - 1 wrt b.\nAnswer: -43680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 14 = 5*l - 10, -5*l + 8 = 3*z. Let o(i) = i**2 - 3. Let p(n) = n**2 - 2. Calculate z*o(a) + 6*p(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x**3 + 5*x**2 + 8. Suppose -2*k = -4*d - 296, 3*k + 5*d = d + 464. Let m = -147 + k. Let p(a) = 13*a**3 + 7*a**2 + 12. Determine m*p(j) - 7*s(j).\nAnswer: 2*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 328 and 13858.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(324)*1)\/sqrt(3).\nAnswer: -3 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.18 - -0.22. What is the nearest to -0.1 in x, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -31.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 21*y + 424. Calculate the remainder when f(-19) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -26, 4, -4, 5318 in descending order.\nAnswer: 5318, 4, 0, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 335 + -235. Suppose -z - 93 = -5*u, -5*u + 2*z + m = 9. Suppose -b = g - u, 0*g - 94 = -5*g - 4*b. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 20*m**2 + 40*m + 34. Is 21 a factor of r(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 11:13 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 388 = 2*u. Let c = u + 69. Let z be c\/(-12) - (-1)\/(-3). Solve z + 2 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibtbmib. What is prob of sequence tt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9856 - -9856.02. Suppose -j - 2 = -0*j. What is the smallest value in j, 0, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 480 + -481. Let y = 8 + -4. What is the nearest to y in 5, s, -1\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 37*a**2 + 23*a - 85. Give o(19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8)*-1)\/((-3)\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.011 + 0.681. What is the closest to 2 in -0.5, -4, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 169*b**6\/3 + b**4\/4 - 1509*b**2\/2 - 658. Find the second derivative of k(v) wrt v.\nAnswer: 6760*v**3 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6480.655871 rounded to one dp?\nAnswer: 6480.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 5*z**2 + 4*z. Let u be q(4). Suppose u*a + 40 = 4*a. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*u**2 + 1 + 24*u**2 - 263*u**2 - 78*u**2 + 157*u wrt u?\nAnswer: -562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9\/2)*i\/(i*i*i*(i\/(i**(2\/3)*i*i))\/i*i)*i*i*i*(i**10\/i)\/i*i**(-2\/43))**(-1\/6) assuming i is positive.\nAnswer: i**(-1579\/1548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5 + 66*w**4 - 394*w**3 + 798*w**2 - 468*w = 0.\nAnswer: 0, 1, 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 3*o - 4*o)*(5*o**2 + 2*o**2 - 6*o**2) - 10092*o + 5049*o + 5042*o + 2*o**3 - 334*o**2 as i + k*o**3 + t*o**2 + n*o and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -713 + 714. Let w = -0.3 + 0.4. Sort s, -0.4, 0.9, w in descending order.\nAnswer: s, 0.9, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 21 - 22 + 41)*(-3*u**3 - 3*u**3 + 4*u**3).\nAnswer: -10*u**4 + 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 4. Suppose 6*h - 173 + 149 = 0. Suppose h*s + v - 252 = 0, 4*v - 5 = 11. Calculate the remainder when s is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -33. What is the remainder when 19 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-1 - -12 - 8) - (2 - -6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32285418 and 5621.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llsk when four letters picked without replacement from {s: 2, k: 2, b: 2, a: 2, p: 4, l: 2}.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 109020, 108991, 108964, 108939, 108916, 108895, 108876?\n\"Answer: q**2 - 32*q + 109051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -696, -994, -1290, -1584, -1876, -2166?\nAnswer: -2454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(16))**2 + 1 + 3.\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 6*p + 4. Let i(r) be the second derivative of -32 - 1\/12*r**4 + r + 1\/2*r**2 - 1\/3*r**3. Determine -7*i(a) + 2*z(a).\nAnswer: 3*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, v: 3, x: 3, f: 6, m: 2}. Give prob of picking 2 x and 1 v.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + m - 21. Let w be a(-6). What is the highest common divisor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22408769 to the nearest integer?\nAnswer: 4734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7839629m to kilometers.\nAnswer: 0.0007839629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 233 * -21061.\nAnswer: -4907213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*b*l - 3424*b - 76*l*w - 2*w wrt l?\nAnswer: -11*b - 76*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7172476, -7172478, -7172480, -7172482?\n\"Answer: -2*w - 7172474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 0 - 1\/60*n**5 - 1\/4*n**4 + 2\/3*n**3 - 203*n**2 + 0*n. Suppose -11 = 3*q + 7. What is h(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 668 in -66, -0.04, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - 4*n**3 - 7*n**3 - 7*n**3 + 8*n**3.\nAnswer: -10*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 - k**2 - 3*k**2 + (-7 - 21 - 31)*(-40*k**2 + 124*k - 124*k).\nAnswer: 2359*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/14*-6*4\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 587744385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(272) + 2)*4 - (1*sqrt(272) + 0)*-5)**2.\nAnswer: 384*sqrt(17) + 2704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - v + 158. Let b be u(0). Let m = -99 + b. Suppose 30*h - 53*h + 345 = 0. What is the remainder when m is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, 1, 17, 43, 79?\n\"Answer: 5*p**2 - 9*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94\/(-2)*(7465\/19409 - (-16)\/26).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10ca (base 13) to base 9\nAnswer: -3215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + (sqrt(170)*-1 - sqrt(170)))\/sqrt(10) - (sqrt(1700) + 0) - sqrt(68)\/(2*sqrt(324) - sqrt(324)).\nAnswer: -100*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1055, 3169, 5283, 7397, 9511, 11625?\n\"Answer: 2114*m - 1059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 21. Let w(n) = -286*n**2 + 176*n - 16. Let l(q) = 191*q**2 - 117*q + 11. Let h(f) = r*w(f) + 8*l(f). Factor h(i).\nAnswer: 2*(7*i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9303 take away 19334986252?\nAnswer: -19334976949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 90813 = 17823. Is ((6 - 1) + -4 - u) + 5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**3 + 6*o**2 - 3*o**3 + 6*o**3 - 3*o**2 + 6*o - 4. Let q be x(-4). What is the greatest common factor of q and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 20*t**2 + 24*t - 12. Calculate k(-19).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89720 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i + 2. What is the lowest common multiple of 14 + (4 - -1) + -5 and t(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765 is divided by 43?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*x + 3*x + 5*x.\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240 divided by 26?\nAnswer: 620\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 4*i + 36. Solve 2*y + y = i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1959314?\nAnswer: 2, 7, 19993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/7)\/(-3) - (-515)\/35. Calculate the remainder when 23 is divided by (q\/25)\/((6\/(-40))\/(-3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 75 - 243. Let i = 16 + -16. Suppose -4*p = -m - 47, r = 3*p - i*p - 3*m. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*c + 26. Let t be (-100 - 1) + c + (-16 - 2). Is t <= -407\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5, 4*o = 5*s + 29. What is the third derivative of -2*m**2 + 0*m**2 + 3*m**2 + 3*m**o wrt m?\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g*g*g*g**(-2\/5)*g*g))*g**2*(g**(-1\/2)*g*g)\/(g*g*g**(-3)) assuming g is positive.\nAnswer: g**(91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 23 - 11. What is the first derivative of -11 + 0 + 15*b**f + 9*b**4 wrt b?\nAnswer: 96*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bks when three letters picked without replacement from {k: 2, n: 1, b: 1, s: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j**2 + 6*j + 4. Let h be k(-1). Let f be 68\/(-96) + (3 - 126\/48). Which is the closest to f? (a) h (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -178 * -2\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d - 2. Let s be w(8). Suppose 15*y + 65 = -g + 20*y, -3*g - 237 = -y. Let r = s - g. Calculate the greatest common factor of r and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1602289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84*p**3 - 543*p**2 - 309*p - 42.\nAnswer: 3*(p - 7)*(4*p + 1)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11902, -47523, -106892, -190009, -296874, -427487, -581848?\nAnswer: -759957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 3*k - 40 = 9, 0*q - 29 = -0*q + q + 7*k for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 13*u - 4. Let n be q(-7). What is the hundreds digit of n\/(-1*(-2)\/74)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 4:26 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6042 is divided by 2997?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from {j: 3, k: 1, x: 2, v: 3, o: 5, r: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 2*f**2 + 0*f**2)*(-4*f + 5*f + f) - f**3 + 6*f**3 - 3*f**3 - f**2 - 3*f**3 + f**2 + 38*f**3 - 208*f**3 - 175*f**3.\nAnswer: -350*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.9 + 16924232741.\nAnswer: 16924232736.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - ((-65)\/20 - -4))*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30643 + 130?\nAnswer: -30513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from spsptyttms. Give prob of sequence ympp.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 19073*a - 38158. Determine k(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.45 rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2240, -2256, -2272?\nAnswer: -2288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/7*r**3 + 16\/7*r**2 - 8\/7 + 4\/7*r.\nAnswer: -4*(r - 1)**2*(3*r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -34*j**3 + 4*j**2 + 3*j. Let x be o(-3). Suppose x = 5*m + 2*m. Suppose 4*a = -a + m. Calculate the highest common factor of a and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/144 and 139\/11088.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-1\/2)\/v*v)*v)\/v)**(4\/7)*(v**(-1\/3)*v*v)**(-34) assuming v is positive.\nAnswer: v**(-1184\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 562935 + 3082927 = 3*g, -2*v = -g + 840004. Round g to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4249245599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134.999861 + -135. What is s rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*q = -52*q + 31*q + 13986. Calculate the smallest common multiple of q and 129.\nAnswer: 9546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2*0)\/(-2). Suppose 3*r + 7 - 1 = 0. Let v = r - -6. Put v, 2, p in descending order.\nAnswer: v, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 1090150?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 418 - 123. What is the remainder when m is divided by 101?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 2\/205, -9078?\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/110 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*h - 4*h. Suppose -2*j + 144 = j. Calculate the remainder when j is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8056, 8054, 8050, 8044, 8036, 8026?\nAnswer: 8014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**9*n*n*n**5\/n)**(1\/30) assuming n is positive.\nAnswer: n**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4952973061143 - 0.4\nAnswer: 4952973061142.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 786014, 786060, 786106, 786152?\n\"Answer: 46*r + 785968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - (-45)\/(-30)*48\/(-9). What is the highest common divisor of h and 810?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9644 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1664 + 1665. Suppose 2*j - y = -2*j + 9, -13 = -4*j + 5*y. Suppose 3*z - j + 20 = l, 4*l = -z + 7. Which is the nearest to 1\/4? (a) u (b) z (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o. Let c(g) = -2*g**2. Calculate u(c(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1505.8116 months to millennia.\nAnswer: 0.1254843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4508\/(-4186) + (-1824)\/(-728)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 13 - (10 + 2 - 7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, i: 1, a: 7}. What is prob of sequence ss?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(24)*-2)\/((sqrt(144)*-2)\/sqrt(12) + sqrt(12)))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4765, 9538, 14321, 19114?\nAnswer: 23917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - y**2 + y + 1. Let v be a(0). Let d = 1 + -1. Let k = d + 0.1. Is k equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821563778.\nAnswer: 2, 7, 58683127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 500506 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1393251\/105 + 7 + (-3952)\/560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7316? (a) -1 (b) -5 (c) 0.93 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 - 66. Is h > -2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 312, 412, 512, 612, 712?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20925116*c**5 + 3*c**4 - c**3 - 18*c**2 - 953226?\nAnswer: -1255506960*c**2 + 72*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264, 480, 746, 1074, 1476, 1964?\nAnswer: 2550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266 = -13*r - 8*r - 98 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-49) + (-124)\/(-7). Suppose -5*m + 75 = 3*n, 0 = 5*m - 2*n - r - 57. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 284, 963, 2288, 4475, 7740, 12299?\nAnswer: 18368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 236157787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 equal to 3\/273707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/9)\/(55\/15 - 3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 169\/4*n**4 + 16 - 216*n - 351*n**3 + 781*n**2.\nAnswer: (n - 4)**2*(13*n - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + ((sqrt(2420) + 2 + -5)*-4*-3)**2.\nAnswer: -19008*sqrt(5) + 349777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310 divided by 1468.\nAnswer: 155\/734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608233 a multiple of 964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3618, -7319, -11144, -15099, -19190, -23423?\n\"Answer: -a**3 - 56*a**2 - 3526*a - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11331 - 11330.7. Sort u, -0.4, 24.2.\nAnswer: -0.4, u, 24.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*i + 200 + 110, -318 = -2*i + q. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24633 divided by 9.\nAnswer: 2737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**2 + 4*h + 1. Let c(l) = 17*l + 2. Let n(f) = 10*f + 1. Let x(k) = 3*c(k) - 5*n(k). Calculate d(o) - 4*x(o).\nAnswer: -4*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4015407131\/742 + -5411592. Let r = 14\/53 - t. Calculate the common denominator of 41\/50 and r.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-1) - 0) + -4. Let j(y) = 3 - 5*y + y**2 + y**o + 1 + 3*y. What is the units digit of j(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -89. Suppose z = 2*x - 3*x. Let j = x + 60. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x - 11. Let d(y) = -y - 2. Determine 22*d(k) - 4*v(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from {q: 3, n: 1, j: 2, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*(5*-5*(sqrt(500) + 0)*-2 + -4)*3)**2.\nAnswer: -14400000*sqrt(5) + 4500057600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 27935\nAnswer: -13967.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26\/23 or -1?\nAnswer: -26\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c + 0*c)*(-168 + 1604 + 2648 - 838)*(3*c**2 - c**2 - 4*c**2).\nAnswer: 6492*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -86*y + 170*y - 85*y. Let x(a) = -a - a - 2*a. What is x(l(b))?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18076429?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Let i = l - 3. Let u be 4\/2 + 4 + -4. What is the nearest to 2 in u, i, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 446 + -774. Let h = 84 - v. Suppose -2*t = 2*t - h. Calculate the remainder when t is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -15*l - 4*u - 106400020, 0 = -l + u - 26599995. What is l rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + -2*sqrt(128) + sqrt(128) + 1 + -4)*-3*-6*-3)**2.\nAnswer: 26244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 11 = -1. Calculate the smallest common multiple of o and (0 + 9\/(-6))*-4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4091 = -4086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*r**4 + 132*r**3 + 276*r**2 + 144*r = 0. Calculate r.\nAnswer: -6, -2, -4\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20646.5 + -1947.5. Let w = f - 18706.483. Let l = -0.083 - w. What is l rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69 - (-38 - (13 + -102))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (294\/(-3234))\/(7\/1001).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153842 + 6*s**2 - 153842.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -866302787*0.5\nAnswer: -433151393.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6081498?\nAnswer: 2, 3, 337861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 3 - 2*n + 145 + 31.\nAnswer: -n + 173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-8) + 1\/2. Let z = 7 - -2. Calculate the greatest common divisor of z and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234589163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 122640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195 divided by 1603.\nAnswer: 195\/1603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/21 and -7\/215200887?\nAnswer: 1506406209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, m: 1, r: 3, i: 2}. What is prob of picking 1 v and 1 r?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g - 16. Determine j(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**3 + 152*q**2 + 247*q + 98 = 0.\nAnswer: -49, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1273757?\nAnswer: 1273757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 2*i - 28. Let p(d) = 2*d**2 + 5*d + 87. Calculate 3*p(s) + 8*x(s).\nAnswer: -2*s**2 - s + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47.74 - 0.74. Let m = 46.5 - p. Let f = 7.3 + -1.3. Which is the nearest to f? (a) m (b) -0.1 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4822285 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56 - 75620?\nAnswer: -75676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) + (2*sqrt(42) + sqrt(42))*-2)\/(2*sqrt(63)))\/(1*sqrt(2)*3 + (sqrt(16)\/(sqrt(8)*-1) - sqrt(2))).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 40*p - 71. Let z be n(-38). Suppose 0 = -0*d + 3*d - z*i - 14, i = 3*d + 2. Let a(y) = y**2 + y + 2. Give a(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2024, 5, 0.9, 5\/4, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2 + 2*u**2 + 2. Let k(o) = -o. Let i(r) = -r. Let x(g) = -2*i(g) - k(g). Calculate l(x(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 30*d**3 - d**2 - d + 1. Let t be f(1). Let n be (-3 - -3)\/(8\/(3 + 6 - 11)). Sort 1, n, t in ascending order.\nAnswer: n, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9, -61, -147, -267, -421?\n\"Answer: -17*t**2 - t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 201, -4294, -3, 4 in descending order.\nAnswer: 201, 4, -3, -4294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*sqrt(272)*6 + 4)**2.\nAnswer: 48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 153470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -4. Let l(h) = -8*h + 12. Let x be l(-1). Solve 5*f + 4*b = f + 32, 0 = i*f + b - x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 + 69. Let o(i) = 8*i - 13*i - 7 + q*i. What is o(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a factor of 245362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 0*j**2 + 2\/3*j**4 + 16*j**3 - 17\/5*j**5 - 151*j - 2\/21*j**7 - 16\/15*j**6 + 0. Determine x, given that c(x) = 0.\nAnswer: -4, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 0 - 34*p + p to n + f*p and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w + 2. Let r(k) be the third derivative of -k**4\/24 - k**3\/6 + 152*k**2. Let b(p) = p + 1. Let o be b(3). Give o*h(c) + 7*r(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, -17, -78, -195, -386, -669, -1062, -1583?\n\"Answer: -3*a**3 - a**2 + a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 24*z. Let u(k) be the second derivative of -k**7\/630 + k**4\/4 - 17*k**2\/2 + 5*k - 6. Let i(l) be the third derivative of u(l). Determine g(i(v)).\nAnswer: -96*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 21*z**3 + 164. Let c(p) = 4*p**3 + 33. Let m(b) = 5*b**2 - 121*b - 534. Let d be m(28). Determine d*v(j) + 11*c(j).\nAnswer: 2*j**3 + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*t - 5*n - 6, -t - 2*n - 5 = 0. What is the third derivative of -2*r**2 + 4*r**t - 4*r**2 + 4*r**2 + 0*r**3 wrt r?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 0*k + k + 6*k - 4*k.\nAnswer: 3*k - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5))**17\/((r*r**(-1\/20))\/(r*r*(r**(-1\/21)\/r)\/r*r*r*r)) assuming r is positive.\nAnswer: r**(-34859\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - 7 - -11)\/2. Factor -4*a**3 - 4\/5*a**5 + 0 - 8\/5*a**2 - 16\/5*a**4 + y*a.\nAnswer: -4*a**2*(a + 1)**2*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 4. Let s be 40\/7 - c\/(-14). Let j be s + 1*-2 + 0. What is the highest common divisor of j and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 6*f**2 - 6*f - 38. Let v be h(10). Suppose v*y + 40 = 297*y. What is the units digit of y\/(-12)*138 + 2 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 779.8 - 789. Let c = 8.7 + l. Sort -3, 2\/5, c in descending order.\nAnswer: 2\/5, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 21*z**3 + 120*z**2 + 671*z - 25. Give p(-6).\nAnswer: -4267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 31. Which is the biggest value? (a) s (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 24 = 13*s. Suppose -3*f + 0*b - b = -22, 0 = 5*f - 5*b - 10. What is the smallest common multiple of s and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((1*sqrt(140)*-4)\/(sqrt(5) + (-2*sqrt(50))\/sqrt(10) - sqrt(5)) + 1)*-4)**2.\nAnswer: 4608*sqrt(7) + 65088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70776320.\nAnswer: 2, 5, 27647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 8*n**3 - 6*n**2 + 3. Let r(d) = d**2. Let h = 0 + 1. Suppose 11*x + 27 - 93 = 0. Let k(s) = h*i(s) + x*r(s). What is the derivative of k(p) wrt p?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h + 49. Let v be l(-18). Which is the biggest value? (a) 1 (b) -7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 25 + (-10098)\/629 + 2555*1\/37.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from stttttdtdt?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvsvts. What is prob of picking 4 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46965 and 2424.\nAnswer: 375720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - b + 1 = -0*n, 0 = -4*n - b - 24. Let y(q) = 5*q - 1. Let l(m) = -11*m + 2. Let s(k) = -4*l(k) - 9*y(k). Give s(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -14352999?\nAnswer: -2\/4784333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1703 - 1709. Let u(p) be the first derivative of -p**5\/60 - p**4\/6 + p**3 + p**2 - 3. Let w(m) be the second derivative of u(m). Determine w(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l = -165. Is l*1*2\/6 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/3))**12)**(9\/5) assuming d is positive.\nAnswer: d**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -0.278.\nAnswer: -0.1668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9, -23, -43, -69?\n\"Answer: -3*y**2 - 5*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 20, 0 = z + 5*r + 1 - 17. What is the remainder when 5\/((-10)\/4) - -24 is divided by 82\/7 - z\/14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8774115 divided by 21?\nAnswer: -417815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4733335*l - 5. Let u be w(3). Round u to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + -66. Let s = n + 58. Let k = 32.000024 + s. Round k to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(30\/(-16)) + 6\/9\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.93 times -9.4?\nAnswer: -422.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9198 - -15473. What is the thousands digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26\/1279 - -54259\/89530. Let v = 37439 - 1497471\/40. Calculate the common denominator of h and v.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4746811?\nAnswer: 503, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -9. Let g = a + 3. Let i = g - -18. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.775717l in millilitres?\nAnswer: 775.717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 11\/15, -3, -0.5?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194, 188, 180, 170, 158?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 6*a + 4. Factor 4*s**2 + 3*s**2 + 2*s - a*s**2.\nAnswer: -s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -258*b + 252*b + 297660. What is b rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 169 in -5, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 188*c**2 + 80*c - 5. Let w(j) = 93*j**2 + 40*j - 2. Let m(t) = -2*q(t) + 5*w(t). Find the second derivative of m(a) wrt a.\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4213621 is divided by 54722?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)\/(t\/t**(-6)))\/(t*t\/(t\/(t**2*t)))**(-22))**(-2\/77) assuming t is positive.\nAnswer: t**(-158\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (5\/(-2)*2 - -1). Let z be 88\/32 - s\/4. Suppose -3*i + 28 = 3*w - 146, 5*i - z*w - 274 = 0. What is the remainder when i is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4*g = -3 - 2, 0*c + 5*g = c + 14*g + 50 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7315 (base 11) to base 12\nAnswer: -5740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 869451.1 hours?\nAnswer: 3130023960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1102 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.28 and 365.8?\nAnswer: -102.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 709*m**5\/60 + 259*m**3\/3 + m**2 - 89*m. Differentiate v(f) with respect to f.\nAnswer: 1418*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -15?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47406.\nAnswer: 2, 3, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8694636*a**3 + 352114*a - 15 wrt a.\nAnswer: -52167816*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7858, 13135, 18412, 23689, 28966, 34243?\nAnswer: 39520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 55875*w**3 + 105*w - 210. Let h(x) = -11175*x**3 - 20*x + 40. Calculate -21*h(m) - 4*q(m).\nAnswer: 11175*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 7, -3, 31 in ascending order.\nAnswer: -5, -3, -2, 7, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 392*p - 365. Determine y(2).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 0, -26, -62, -108, -164?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388784 is divided by 1068.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2729 - 2727. Let p(b) be the second derivative of 0 + 7\/20*b**5 + 0*b**r + 14*b - b**3 + 0*b**4. Find the second derivative of p(j) wrt j.\nAnswer: 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r - 77. Let b be t(26). Let d = b - -155. Let x(z) = -z**2 - 5*z + 4. Let m be x(-6). What is the closest to 3 in d, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2552 (base 7) to base 12.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2477, -14809, -36993, -69029, -110917?\nAnswer: -162657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/391 (b) 1423 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 27*l**2 + 14*l + 1. Calculate z(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a - 2 + 1 - 25*a - 14*a.\nAnswer: -24*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 2*l**4 + l**2 + (-12*l**3 - 15*l**4 + 12*l**3)*(78 + 85 - 192).\nAnswer: 437*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21909.41 and -65.\nAnswer: 1424111.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 40 + 2. Let k be (-9)\/(-27) - 10\/p. Solve 4*f + 25 = -u + 6, -k*f + 7 = -5*u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36022379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 30 = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -2 - 6*a + 0*a**5 + 1\/10*a**6 + 0*a**3 + 97\/2*a**2 - 5\/12*a**4. What is the first derivative of y(m) wrt m?\nAnswer: 12*m**3 - 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*u**3 + 183*u**2 + 284*u*y + 485*y + 14 wrt u?\nAnswer: -6*u**2 + 366*u + 284*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 7 + 8*z + 0*z - z + z**3 - 7*z**2. Let b be i(6). Let t = 8 - b. What is the greatest common factor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 2*c + 16 = 0, -3*c = 10*l - 9*l - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000100101011100 - -100?\nAnswer: 1010000100101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 + f**5 + 5*f**5 + (3*f**4 + 2*f**4 - 3*f**4)*(2*f + 0*f - 4*f) - 13*f**5 - 18*f**5 + 32*f**5.\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 3930 = 25*b. What is b rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 154 = -4*p, 0 = 3*r + r + 2*p - 220. Suppose -q - 13 = -3*t, -2*t - 2*t + r = -5*q. Is -12 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, -10, -12, -14?\n\"Answer: -2*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197372952 to the power of 1\/3, to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/132*26 + (-281)\/3091?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10497938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -70.03908.\nAnswer: -350.1954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 134*x**2 - 9*x + 1. Let s(l) = 135*l**2 - 5*l - 1. Let a(w) = -3*f(w) + 4*s(w). Let k(h) = 69*h**2 + 3*h - 3. What is -3*a(b) + 7*k(b)?\nAnswer: 69*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32, 62, 132, 260, 464?\n\"Answer: 3*v**3 + 2*v**2 + 3*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 22*r + 56. Let t be n(19). Let k be -1 + t\/((-256)\/252). Which is greater: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 4 = -8*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12853\/90069 + -2\/12867. Which is the nearest to -2? (a) y (b) -4 (c) 0.2 (d) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, r: 2, u: 2, v: 1, g: 1}. What is prob of sequence ugra?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)*y*y*y**6\/y*(y\/y**0)**20)\/(y*y**(1\/10)\/y*y**(3\/10))**(-2\/61) assuming y is positive.\nAnswer: y**(25022\/915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5195400 rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-504)*308 + 154.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -369 + 5533\/15. Which is the nearest to -2? (a) 1 (b) n (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 3:46 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 0, -201, 206 in descending order.\nAnswer: 206, 0, -39, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -71*o + 46. Let r(s) = 107*s - 68. Let w(z) = 8*k(z) + 5*r(z). What is the tens digit of w(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 998746532 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.865?\nAnswer: 1.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 71 = -50. Which is the biggest value? (a) 2\/3 (b) w (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7901 is divided by 465?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372, 823, 1510, 2349, 3256, 4147?\nAnswer: 4938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {h: 1, y: 1, v: 2, n: 1, p: 1, e: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*p + 3)*(-4 - 6 + 7) + 1 - p - 1 + (p + 5*p - 4*p)*(3 + 0 - 4) - p - 4*p + 3*p - p - 2 + 2 - 3*p + p - p.\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-8))\/(-11 - -14). Which is the smallest value? (a) 0.2 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/b**(-4\/17)*b*b*b**5*(((b\/(b\/(b\/(b*b**(-6)\/b))))\/b)\/b)**26 assuming b is positive.\nAnswer: b**(2367\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -277066 - 133?\nAnswer: -277221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 44148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.2, 0.4, -1742, -0.89 in decreasing order.\nAnswer: 1, 0.4, -0.2, -0.89, -1742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, 891979, 1 in descending order.\nAnswer: 891979, 99, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 + 133*h - 807.\nAnswer: (h - 6)*(h + 538)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -509, -1563, -3215, -5471, -8337, -11819?\nAnswer: -15923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21 + 26e?\nAnswer: 24d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, 2\/3, 5\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 32*r**3 + r**2 + 2*r. Give w(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1516664, -1516646, -1516592, -1516484, -1516304?\n\"Answer: 3*j**3 - 3*j - 1516664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 9:36 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -4, -421 in ascending order.\nAnswer: -421, -4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.2 (b) 2\/29 (c) -1\/8 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.7 - -12.4. Put -2\/29, -2, d, -1\/3 in decreasing order.\nAnswer: -2\/29, d, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 g when three letters picked without replacement from {y: 1, w: 3, g: 12}.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6 - m**3 - 8*m**2 - 4 + 2 - 7*m. Let n be v(-7). Let u be 1\/(2*n\/(-40)). Let k(o) = 6*o**2 + 6*o + 7. Let c(r) = r**2 + r + 1. Give u*c(q) + k(q).\nAnswer: q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -227*n + 171*n + 112. Solve -n*f = 2, f = -280*u + 278*u - 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26154 = 48*x - 26298 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*j + 1701 = 1716, 0 = -i + j - 3. Solve 4*r - 4 - 8 = z, i = -3*r + 5*z + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3632)\/(-112) - 31)*(-56)\/48\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 9. Let r = x - -2.5. Suppose -5*s - 22 = -2*h, 8 = 4*h - 39*s + 38*s. What is the smallest value in 2\/5, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -158.\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 4, 1, 5 in decreasing order.\nAnswer: 5, 4, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(7\/6)*(u**3\/u)\/u**(-2\/9)*(((u\/u**(-1\/4))\/u)**(-47))**(-1\/24) assuming u is positive.\nAnswer: u**(445\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 + -2. Let q = 0.1 - r. Which is the closest to -1? (a) q (b) 1 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 28 = -14*m. Let f(w) = 6*w**3 - 14*w**2 - 14*w + 14. Let d(r) = -r**3 + 3*r**2 + 3*r - 3. Give m*d(v) - 3*f(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/1 - (-9290)\/4046. Let x = 3\/289 - b. Does x = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = -2*v - 147 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4692.155 + -4709. Let t = v - -17.4. Round t to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145*-0.35.\nAnswer: 50.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 5523?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 + o**5 - 2*o**5 - 3*o**5 + 9*o**4 + o**5 - 3*o**4 + (-3*o + 3*o + o**2)*(o**3 + 5*o**3 - 4*o**3) - 3*o**5 - o**5 + 6*o**5.\nAnswer: -o**5 + 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46.2 + -32. Let f = 11.2 - q. Which is the fourth smallest value? (a) 0 (b) -2\/5 (c) f (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssyssyosyyoooso. What is prob of picking 1 y and 2 s?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 5*h**2 - 4*h + 3. Let y be l(-6). Let k = 28 + y. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + s = 18 - 23, -12 = 2*o + 5*s. Let z(r) = 1. Let x(l) = -47*l + 141. Let f(t) = x(t) - 141*z(t). What is the tens digit of f(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 15*f**2 + 5*f**2 + 5*f**2.\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 232 divided by -4\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 5. Let n be y(5). Suppose -88 = -4*o - n*o. Calculate the highest common divisor of 22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1504571*250\nAnswer: -37.614275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = m + 441, 4*y - 628 - 260 = 2*m. Let r be (6 - m\/(-42)) + 5. Which is the fourth smallest value? (a) -0.2 (b) -6 (c) r (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12464 + -10814. Calculate the remainder when o is divided by 331.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139777 and 6431876?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 20 (c) -16 (d) -0.1 (e) 0.093 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/48 and -145\/57186.\nAnswer: 457488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23068 - -23070. Sort -64, k, 0.012 in descending order.\nAnswer: k, 0.012, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -3, -0.3, 715, 275, -2, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20346, 40684, 61012, 81324, 101614, 121876, 142104, 162292?\n\"Answer: -m**3 + m**2 + 20342*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/7)\/(-3) + 70\/245.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36844 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/10814 and -97\/26.\nAnswer: 140582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -414 - -3983. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171281 is divided by 1250?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h - 26. Let k = 68 - 46. Let q be f(k). What is the common denominator of -11\/20 and 2\/9 - (-3 + (-411)\/q)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/10 and -1 - (-8 - -5 - 46\/(-12)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8296 divided by -47\nAnswer: 8296\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 - 190 + 190.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -32*w**2 - w - 3. Let r(j) = 32*j**2 + j + 4. Calculate -4*n(d) - 3*r(d).\nAnswer: 32*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 5*b - 3*w - 40 = 0, -5*w - 20 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-63) + (-46)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 392, -3, -8.\nAnswer: -8, -3, 3, 392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21565\/7 bigger than 3082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzhjjdjj. Give prob of sequence hdz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -183 - -93. Let z = b + 135. Let y be 18\/z - (-2)\/(-5). Solve y*n - n = -2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 3:27 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 588 = 15*x - 5*x. What is the highest common factor of 1778 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -893 + 893. Suppose -5*u - 5*q + 1465 = m, 4*u - 32*q + 37*q - 1174 = 0. List the prime factors of u.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/757, -4\/3, -2\/5?\nAnswer: -6\/757","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 166 = -3*s + 692, s + 3*v = 162. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7383 divided by -23\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/309507 and 55\/747.\nAnswer: 928521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u. Let c(o) be the third derivative of o**5\/10 + o**2. Determine c(t(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2511*z - 6160*z - 545*z to f*z + o and give f.\nAnswer: -9216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s**2 + 28*s - 17. Is g(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4*z - 1477, 5*z + 1398 = -5*w + 3853. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/5 - 14\/(-10). Suppose -w*c + 8 = 2*q, -c + 14 = c + 5*q. Solve 0 = c*i + i + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 13*v + 28. Give b(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2003220 + 133?\nAnswer: -2003021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, o: 2, h: 1, g: 7}. Give prob of sequence gh.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16.9 (b) -3\/7 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12216150 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 479478573?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least 21540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.531 + -6.02.\nAnswer: -7.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 1. Let g be (-14)\/35 + (-14)\/(-10). Let u(k) = k**2 + k - 1. Determine g*u(r) + y(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 34*a + 11. Determine r(31).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 290 + 19. Let x be 1\/2 - 774\/(-4). Let y = m - x. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5*p + 1141 - 1171 = 0, 4*p = 5*i - 58 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtsddtttssttsddttps. Give prob of sequence ptd.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shksssssscscs. Give prob of sequence cs.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*y**3\/3 - 519*y**2\/2 - 1431*y - 4167\/2.\nAnswer: -(y + 3)**2*(28*y + 1389)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56737 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a factor of 4017930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2233 - -2296. Calculate the highest common factor of a and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -0.323363737?\nAnswer: -0.123363737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*c - 1. Suppose x - c = -2. What is the units digit of 3 - (-7)\/(-1)*x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 25248 - 121091 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + -60. Let w = -3223.6704 - -3132.6. Let a = w - z. Round a to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137851854 divided by 6\nAnswer: -22975309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36533 + -5?\nAnswer: -36541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13 + -14)\/(1\/5). Let k be (-6)\/(0 + 1)*q. Calculate the greatest common divisor of 150 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 14 = 4. Suppose -20 = -t*b, -3*b + 0*b - 13 = -5*i. Suppose 2*h + 23 = i*j + 3*h, 5*j + 2*h = 21. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 137.1642834 to one decimal place.\nAnswer: 137.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.087855 millimeters?\nAnswer: 0.004087855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -108?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7777363480.\nAnswer: 2, 5, 19, 59, 107, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 2*l + 3, 6 = 4*y + l + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -32. Let w be (-9)\/(-2)*o\/12. Let l(g) = 2*g**2 + 3*g - 4. Let n be l(w). What is the nearest to -3 in 1\/6, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6466 is divided by 56.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**31\/l)\/l))\/l)\/(l\/((l\/l**(-6))\/l))*(l*l**22)**(-14) assuming l is positive.\nAnswer: l**(-346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20, -36, -92, -148, -204?\n\"Answer: -56*f + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 31 = -5*t, -12*t = -15*t - l + 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2546.634*0.6.\nAnswer: 1527.9804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 5*c + 35, -u - 3873 + 3891 = 4*c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c - 1\/6*c**4 + 10 + 0*c**3 + 0*c**2. Let s(g) = 101*g. Calculate s(w(z)).\nAnswer: -202*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 564073?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 611*m**2 - 1729*m**2 - 2298*m**2.\nAnswer: -3416*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 76324750, 76324755, 76324764, 76324777?\n\"Answer: 2*r**2 - r + 76324749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 10 = 2*r - 3, -4*a = -3*r - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-2) - (-17 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g + 4. Let i be (-12)\/(-4) - 3 - 3. Let h = -2 - i. Let j(l) = -3*l + 5. Let b(k) = -4*k + 6. Let n(w) = 4*b(w) - 5*j(w). Give h*v(f) + 3*n(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - -236. Let l = 59 - 17. What is the greatest common factor of l and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.598 + -2.59807705. Round b to six dps.\nAnswer: -0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - (-54 + 2 - -124)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from dqdcvxqdqoqo.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15432 is divided by 787?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 3:55 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3*a + 33 - 29 = 0, 0 = -3*j + 4*a - 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:43 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18838 + -13126. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15301 + 15301.149. Let t = -6.7353 + 0.4763. Let n = t + m. What is n rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 30 = -0*a. Solve -3 = -3*d - a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 940*n**2 + 936*n**2 - 1867*n**2. Let p(k) = -10*k + 7. Let s(c) = -3*c + 2. Let y(x) = -2*p(x) + 7*s(x). Determine l(y(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 26*a - 20*a. What is the lowest common multiple of a and 66?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1594408*f**2*q**3 - 51*f**2*q**2 + 114*f*q**3 - 8*f*q**2 + q**2 - 18475 wrt f.\nAnswer: 3188816*q**3 - 102*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-243)\/(-180) + -1 - -9*(-2)\/54.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 93.2.\nAnswer: 93.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 y when four letters picked without replacement from yjjjjjjjyyjyjjjyyj.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3753 divided by -56.\nAnswer: 3753\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**4 - 60*u**3 - 50*u**2 + 60*u + 55 = 0 for u.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 6:55 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 19*p - 88. Let d be w(-7). Put d, 4, -3, 1 in increasing order.\nAnswer: d, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from {c: 6, s: 2}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97 + 105. Suppose -p*v = 13*v - 336. Solve 2*q - 4*f - v = 0, -3*f = -5*q - 0*f + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*r + 1133 = -280 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 11104701 and 45.7.\nAnswer: 11104746.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -694b + 4?\nAnswer: -6947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 18, -25, -116, -273, -514?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61984589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d + 2*d**2 - 3*d)*(1146 - 1905 - 1999) as b*d**2 + w + k*d and give b.\nAnswer: -5516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-19)\/17 - (-1)\/1. Suppose 5*u + 12*u = -170. Let t be 144\/840*u\/6. Which is the biggest value? (a) t (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-3 - -2) - 3. Which is the closest to x? (a) 5 (b) 0 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + z + z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3824 and 30160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -2)\/(3 - 2). Suppose 5*g = u + 4. What is the greatest common divisor of g and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191385593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/863, 3\/5, 0.1 in increasing order.\nAnswer: 2\/863, 0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*q - 225 = 0, -4*p + 6*p = -5*q + 437. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.57 + -0.6. Let r = 0.43 + b. Let n be (-870)\/78 + (-55)\/(-5). Sort r, -1\/2, n in descending order.\nAnswer: r, n, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 - 140*i - 18 + 138*i + 5*i**2 + 6 - 30*i**2 to t*i + m*i**2 + g and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3872) - (sqrt(3872) + (sqrt(3872) - (sqrt(3872) + -1))**2*-2)) + sqrt(3872) + -1 + -2 + -2*((sqrt(32) - -2*sqrt(32)*2) + -4).\nAnswer: 4*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/sqrt(125))\/((5*sqrt(36))\/sqrt(12)).\nAnswer: sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.18 + -3.1. Let g = u + -1.1. Which is bigger: g or -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2654*x + 2653*x + 2*i = -6, -5*x = 3*i + 35 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 161479776, 322959549, 484439322, 645919095?\n\"Answer: 161479773*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 16*z - 40 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 399056589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 13307 = 4*i, 114*i - 3*t = 115*i - 3330. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18b0 + 1440?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - w - 7, 0 = -6*w + 2*w - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 9:10 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 595*n - 5557. Calculate f(11).\nAnswer: 988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2 = v, 5*v + 5*w - 7 - 3 = 0. Let k(h) = -h + 2. Let r be k(v). Solve -4*y - 14 - 2 = r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 491, 983, 1475, 1967?\n\"Answer: 492*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86276146 to the nearest integer?\nAnswer: 9288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6994.836 kilograms?\nAnswer: 6994836000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9768 - -9772. Suppose -4*b = -0*b - 8. Suppose -4*p = -6 - b. What is the lowest common multiple of p and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from occocpccod. What is prob of picking 1 c and 2 o?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*c + 11 = 0, -3*h - 5 + 42 = -5*c. What is the lowest common multiple of 118 and h?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 172222297 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**3*v**4 - 227*o**3*v**3 - 20*o**3*v - o**2*v**2 + 3*o**2 wrt v.\nAnswer: 24*o**3*v - 1362*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdjm when four letters picked without replacement from {q: 4, j: 2, d: 1, m: 2, b: 1}.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + t + 5 = 0, -5*t + 18 = -2*z - 9*t. Put z, -2, 0.1, -0.04 in ascending order.\nAnswer: -2, z, -0.04, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 2*t + 895 - 915, -7 = -4*u - t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (5 - (8 + -6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - 12*l + 6. Suppose -5 - 7 = 5*z - 2*f, 6 = -z + 4*f. Calculate the remainder when p(z) is divided by (-30)\/(-9) + 4\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*n = -463 - 230. Let x(r) = -2*r**2 + 7*r + 52. Determine x(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9348 is divided by 582.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 2*u + 20. Are -14\/5 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 + 6 = 0. Suppose 0 = 84*p - 87*p. Solve k*x = 3*q, 3*x - 2*q = -p*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1630 and 11320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2179, -4357, -6533, -8707, -10879, -13049?\n\"Answer: i**2 - 2181*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {x: 3, o: 2, f: 4, y: 1, s: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (207062\/(-108980))\/(247\/(-5)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 2\/15*k**3 - 1\/60*k**4 - 1\/150*k**5 + 0*k - 4*k**2 + 0. Let g(q) = 0. What is q?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185745, -371487, -557227, -742965, -928701, -1114435, -1300167?\nAnswer: -1485897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -12*q**2 - 12*q**2 + 3*q**2 + 27*q**2. Let s(r) = -4*r**2 + 16*r**2 - 1 + 1. Give c(s(u)).\nAnswer: 864*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 25\/4 (b) 1 (c) -0.04 (d) 5718 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 2 + (-3 - 1). Suppose b = i - 2*i + 3. Suppose -5 = 4*y + 2*u - 17, 0 = -i*u. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h. Let t(q) be the third derivative of -q**4\/24 - 5*q**2. Suppose 0 = 2*n - 10 + 2. Determine n*t(s) + 3*b(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1036 - -3106\/3. Which is the nearest to -2? (a) -52 (b) q (c) 4\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 10:37 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 2\/47 (c) -4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 660 and 18.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -81114 < -892252\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.11 and -110351.\nAnswer: -110350.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1625 - 1625. Solve n = -5*i + t + 2, -7*i + 8*i + 4 = -2*t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t - 6. Let s be b(5). Suppose -q + s*n - 6 = 0, 2 = -4*q + n + 8. Suppose 2 + 10 = q*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -1\/374 (c) -0.139 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6 - 26 = 0. Let c = 1495 + -1485. What is the lowest common multiple of c and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67884398 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let 18*d**3 - 264\/13*d + 296\/13*d**2 + 10\/13*d**4 + 0 = 0. Calculate d.\nAnswer: -22, -2, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 49 = 2*v + x, -4*v = 2*x - 198. Calculate the remainder when v is divided by 6\/8 - 196\/(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 - 109 - 236*p + 216 + 238*p.\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/(-6))\/((-385047)\/(-2106) + -183)?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201426316.\nAnswer: 2, 7, 13, 553369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sqqqssqsqqqqqsqq?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 2\/9, -40, -0.2, 0.6, 10\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 308776774 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-357)\/(-476)*(1312\/5535)\/((-12)\/(-10))?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -0.0538?\nAnswer: -0.1538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4*p - 7 = 0, -3*p - 104 = t - 113 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 m when three letters picked without replacement from {l: 4, u: 6, m: 5}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -36 + 3 + (-1 - 0 - -4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Let z(m) = 7*m - 31. Let o be (38\/(-3) + 10)*(-6)\/4. Let x be z(o). Which is the nearest to r? (a) 0.16 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -368631*l. Let f(x) = 2*x. Give p(f(d)).\nAnswer: -737262*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/12 (b) -23 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 67578732 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + g**2 + 3*g + 2. What is v(-4)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -20*w - 2. Let a(g) = 10*g - 3. Let y(l) = -19*l + 5. Let t(f) = 7*a(f) + 4*y(f). Let s(o) = -2*r(o) + 7*t(o). What is s(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 2. Suppose o = g*o - 112. Let k = 2611 - 2603. Calculate the highest common divisor of k and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p + 18. Let j be k(-9). Suppose j = q + 2*q. Let s = 9 + q. What is the greatest common divisor of s and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -64 + -4a?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z + z**3 + 0*z**3 - 3 - 2 + 4*z**2. Let a be q(-5). Let v(i) = i**2 - 3*i + 7. List the prime factors of v(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7263360 and 32.\nAnswer: 7263360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243610362, 243610361, 243610360, 243610359, 243610358, 243610357?\nAnswer: 243610356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, -4\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 87*q**3 + 4*q**2 - 4*q - 6. Let o(h) = -176*h**3 - 7*h**2 + 7*h + 11. What is -4*o(k) - 7*t(k)?\nAnswer: 95*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-1 - 1\/(-1). Let o = -18.6 + -9.5. Let g = o - -28. Which is the nearest to g? (a) -4 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5212 equal to 5250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -2\/11, 3\/4, 66, 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubgg when four letters picked without replacement from {u: 3, b: 5, g: 3}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + -2 - 3\/1. Let o = -338.8 + 338. Put -3, j, o in descending order.\nAnswer: j, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from {v: 1, g: 4, y: 5, b: 1, a: 3, t: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 12:28 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c - 19. Let f(x) = 8*x - 13. Let l(y) = -7*y + 13. Let u(m) = 5*f(m) + 6*l(m). Let n be 5*(8 - 235\/25). Calculate n*u(t) - 5*v(t).\nAnswer: -t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 25. Suppose 0 = -2*j + i + 3. Is 1464\/j + 1\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -16. Let z = r + -12. Let k be z\/4 + (-1)\/4. Let d(q) = -q + 1. What is d(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 6 = -3*u. Suppose 0 = -z + u*z - 55. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3 - 31*a + 260*a + 7 in the form i + z*a and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 35 + 49)*(a - 2*a + 3*a) as x*a + n and give x.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tscs when four letters picked without replacement from {t: 1, c: 1, s: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -8338349?\nAnswer: 8338347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 4, k: 1, a: 6, d: 3, g: 3}. Give prob of picking 1 l and 1 a.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(132) - sqrt(132) - sqrt(132))*-4 - sqrt(132) - sqrt(132))\/(sqrt(12) - 1*sqrt(588)))**2.\nAnswer: 539\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from niinvii?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2 - 16310*x + 66504025 = 0.\nAnswer: 8155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84422600 is divided by 777?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632*v - 1237*v - 1131*v = -55552 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*2 - -2)\/(-33 + 35). Calculate the smallest common multiple of 54 and -3 - 4 - h - -31.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -183, -286, -401, -534, -691, -878?\nAnswer: -1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 50*i - 664. Does 37 divide v(71)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*p - 1 - 9 + 11 as m*p + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/5 - 372\/(-20). Suppose 2*m = 3*m - f. Calculate the remainder when 55 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y - 2. Let f(z) = -8*z + 6. Suppose 2*s = s - 13. Let x be (s + 7)\/((-6)\/4). Give x*f(b) + 11*q(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4760 is divided by 3593?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 39*d - 38*d = 36, 99*b + d - 3 + 157 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 152 - 152. Solve -3 + b = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-96)\/(-30) + -3 + (-18)\/(-10). Suppose 15752 = 4*r - v*k, -2 = 13*k - 12*k. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 141 - 140.87. Let y = w + -0.23. Does -1\/4 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*d**3*u*y**3 + 42*d**3*u + d**2*y**2 + 2*d**2*y - d*u*y**2 - 53*y**3 + 1 wrt d.\nAnswer: -48*u*y**3 + 252*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -22\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 82*m - 1. Let d(i) = -i + 11. Let z be d(10). Is 27 a factor of p(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139 + -31. Let w be 1*(h\/(-3) - 0). Let v = -37 - w. Sort 0.4, 2, v.\nAnswer: v, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88351178?\nAnswer: 2, 19, 31, 179, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65.1 + 66.1. Let n be 4\/14 - 52\/(-14). Let d be 6\/14*14\/n. Which is the third biggest value? (a) i (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 3.2 (c) -0.5 (d) 0.4 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 30519.8?\nAnswer: 30519.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4676965 and -0.9.\nAnswer: 0.42092685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**2 - 11*q - 2. Let r(y) be the third derivative of y**5\/30 - 5*y**4\/24 - y**3\/6 + 3*y**2. Let v(m) = 7*r(m) - 3*w(m). Determine v(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 139, 9, 106, -1 in ascending order.\nAnswer: -4, -1, 9, 106, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9264163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 977 + (-19)\/(-57)*-15. What is the highest common divisor of f and 3456?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 2*p + 3*p + (2*p - 5*p + 2*p)*(-7 + 2 + 3) + (0*p - p + 3*p)*(-3 + 2 + 4) - 6*p + 2*p + 2*p)*(-3 + 7 + 1).\nAnswer: 25*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 9:26 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 720 and 36.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15674 + -2?\nAnswer: -15676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/19)\/(k\/k**(-7))*k**21\/k**2)**(9\/2) assuming k is positive.\nAnswer: k**(1899\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h + 8 = 2*b, -h = -b + 3. Solve 7*l - b = 6*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*t + 20*t - 44*t**2 + 8*t**2 + 1 + 19*t wrt t?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4 + 0 + 3 - 2 + (0 + 2 + 0)*(1 + 1 - 1) + 1 + 0 + 5 + (2 - 2 + 1)*(5 + 2 - 4) - 4 - 1 + 4)*(u + 0*u - 2*u).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**3 - 3*s**2 + 2*s - 1. Let t be -1 + (-2)\/(-2) - 3. Let o(c) be the first derivative of c**4\/4 - c**3\/3 + c**2\/2 - 144. Give t*o(f) + b(f).\nAnswer: 2*f**3 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**2*o**2*s**3 - 64*d**2*o**2*s**2 - 963*d**2*s**3 - 4*d**2*s**2 - 4*o**2*s**2 - o - s**3 + 17*s**2 wrt s.\nAnswer: -18*d**2*o**2 - 5778*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1251544969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 454722 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043 + -1.08?\nAnswer: -1.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 177 - 87 + 4*z**2 - 14*z - 78. Determine v(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*a + 35*a**2 - 118*a + 62*a + (11 - 11 + 5*a)*(2*a - a - 3*a).\nAnswer: 25*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/12 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 23*a + 74 = 21*a, 2*c = a + 31. Let d(m) = -m + 9. What is d(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3 = -1. Suppose -4*g + 7*g + 9 = d*y, -4*y + g + 13 = 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**31*y**(5\/2))\/(y*(((y*y**(2\/57)\/y)\/y)\/y)\/y)**(1\/3))**(-3\/17) assuming y is positive.\nAnswer: y**(-11681\/1938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 6:14 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 93770186 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a + 0 - 35*a**2 - 12*a**2 - 36*a**2 - 2 + 84*a**2. Let k be (-6 - (1 - 2))*-5. Suppose x + 7 = -o - 2*o, -5*o + x - k = 0. Give w(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -45*z**3 + z**2 + 4*z - 5. Let f be i(1). Let q = 4 + -49. Let m = f - q. Solve -12 = 4*s - m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -601, -1\/5, -2, 2\/179?\nAnswer: -601","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**5\/60 + 7*c**4\/24 - 16*c**3\/3 + 49. Let f(x) be the third derivative of d(x). Give f(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2 - 0) + (-874)\/(-7866) + (-85)\/279\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300\/(-160)*((-2)\/1)\/(15\/6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-nine halves of a litre?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1300\/30 - 4\/(-6)) + -4. Let y(m) = -m + 34*m**2 + 7*m**2 - 4 - o*m**2. Let h(i) = i**2 + 1. Calculate -h(z) - y(z).\nAnswer: -2*z**2 + z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -585904300 to the nearest 100000.\nAnswer: -585900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 5*m + 14. What is the units digit of 30\/105 + 40\/m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 1, 3919\/32 in descending order.\nAnswer: 3919\/32, 46, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*y + 58 = 0, -w + y = -2*y - 17. Suppose -520 = 71*z - 123*z. Calculate the highest common divisor of z and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1601478, 1601484, 1601490, 1601496?\n\"Answer: 6*j + 1601472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5331 is divided by 254?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5661903 and -1.\nAnswer: -0.5661903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1233794 divided by -10\nAnswer: -616897\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 4*g**2 + 21*g - 92. Let l be o(5). Suppose 0 = -3*i + 2*x - 12, 0*i - i + 7 = 3*x. Which is smaller: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -156585, -313170, -469755?\n\"Answer: -156585*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/((-5)\/35*2). Differentiate -s*y**3 + 46*y**3 - 31 + 15*y**3 + 61*y**3 wrt y.\nAnswer: 135*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 15, -2\/7, 2, -265 in descending order.\nAnswer: 15, 2, -2\/7, -4\/9, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 19112830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (342 - 336 + 0*s - 2*s)*(-s**2 - 3 + 3).\nAnswer: 2*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -86, 0, 4, 4\/11, 12?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 - 72. Suppose 12*v - w = 7*v. Suppose -2*f = -3*a - 1600009, -a = v*f + 4*a - 2399985. Round f to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 4, -5, 1\/10, -2\/3, -4, 1\/3 in decreasing order.\nAnswer: 38, 4, 1\/3, 1\/10, -2\/3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 326054831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*v**3 + 44*v**3 - 19*v**3 + 5*v**2 in the form o*v**3 + z + c*v**2 + i*v and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*(-92)\/36*16\/(-320)*-90\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 36. Let t = 31 - l. What is the highest common factor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**3 - f**2 - f - 1. Let v be p(-1). Solve -v*g - 2*d + 7 = 0, -g + 4*d - 5 = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1832833235 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-224)\/168 + 20\/(-3). Let n be (2\/z)\/((-3)\/(-204)). What is the nearest to -1 in n, -2\/3, 0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 738.6876 months in millennia?\nAnswer: 0.0615573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1851 + 1838. Let c be -4 - 284\/28 - -1. Is s at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3 = -3. Let y(j) be the third derivative of 0*j**3 + 8*j**2 + 0 + s*j - 1\/3*j**4. Let u(q) = q**2. Give u(y(z)).\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-35 + (31 - -7) - -9) + -26\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 - -18. Let m = 173 - s. List the prime factors of m.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93709386227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*(p**0*p)\/p)**(-16))**10)**(1\/71))**(2\/91) assuming p is positive.\nAnswer: p**(-320\/6461)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 4*n + 3*n - 1072, 4*s = -n + 863. Calculate the remainder when s is divided by 290\/8 + 1\/(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*d - 680 = -5*s, -5*d - 2409*s + 2405*s + 9 = -2*d - 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 9*h**2 + 13*h - 3. Let w = 261 - 253. What is the remainder when 72 is divided by t(w)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.948 - 0.068. Let p = 6.8799377 - w. What is p rounded to six decimal places?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + 1.8. Let q = 54 - 58.04. Let d = q + 0.04. Sort s, -6, d.\nAnswer: -6, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Let w be 69\/92 - (-50)\/8. Let j = 4 + w. Let a(q) = -j*q - 15*q + 31*q - 8*q. Determine l(a(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12960 and 5184.\nAnswer: 25920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*c + c**4 - 43697760 - 8*c**3 + c**2 + 43697761 - 8*c to l*c + j*c**2 + x*c**3 + m*c**4 + v and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4297558 and 911703.\nAnswer: -3385855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, 2, -0.5, -923, 2\/7 in descending order.\nAnswer: 2, 2\/7, -0.4, -0.5, -1, -923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2215347?\nAnswer: 3, 53, 13933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2913899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g**3 - 3*g**2 - 2*g - 3. Is 45 a factor of q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b + 2416 = 1836 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(275) + sqrt(22)\/sqrt(2)*6.\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*z + 870 = 391*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34.3 + 41. Round n to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 3*j + 1. Let t be o(2). Is 2006\/8 - t\/(-12) 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 1033115?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41105, 41103, 41097, 41087, 41073?\nAnswer: 41055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(26\/7)*x*x**(5\/4)*(x\/(x**(-4\/5)\/x*x)*x)**(-1\/13))**(-10) assuming x is positive.\nAnswer: x**(-12283\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4941598 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1020*t + 5257*t - 4256*t + 1.\nAnswer: -19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eseslelszrllze. Give prob of sequence zsll.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyv when four letters picked without replacement from yyyyvyyyyyyyyyvvvy?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.001 - -0.289. Let c = u + -0.39. Let y = -0.46 + 0.96. Put 1\/4, y, c in decreasing order.\nAnswer: y, 1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, r: 16}. What is prob of sequence rrr?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/810)\/((-44)\/(-30)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y. Let p(l) = -310559*l - 10. Determine u(p(m)).\nAnswer: -310559*m - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 194 and 1261?\nAnswer: 2522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115352 is divided by 16469?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382421474.\nAnswer: 2, 19, 10063723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 26\/40399?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**3\/7 + 2160*m**2\/7 + 29952*m = 0. Calculate m.\nAnswer: -84, 0, 624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xll when three letters picked without replacement from lxlxxxlxlx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 3460 = 2*m - 1215. What is the remainder when m is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58 - (113 - (10 - -33))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1019, 2037, 3051, 4061?\nAnswer: 5067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 7:16 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.11+2.49460054\nAnswer: 2.60460054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 354\/279 + (-2)\/(-31). What is the fourth biggest value in s, -3, -2, 31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4\/5*i**4 + 734\/5*i**2 + 312\/5*i + 222\/5*i**3 + 0 = 0.\nAnswer: -52, -3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 121035.\nAnswer: -1\/40345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*u**4\/2 + 5031*u**3\/2 + 885299*u**2\/2 - 6762327*u\/2 - 3821301 = 0. What is u?\nAnswer: -363, -1, 58\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 23*m**3 - m**2 - 18*m + 21. Let t(f) = 13*f**3 - 10*f + 11. Let j(p) = 7*t(p) - 4*x(p). Determine j(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1340 divide 19770360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*x + 1521 - 924 = -858 - 2094 for x.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 66 - 130 - 222 - 2*j**2 - 246 + 534*j = 0.\nAnswer: 1, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 6. Let k be t(-6). Suppose k = i + 12 - 42. Let y = i - -4. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2604, -9230, -20122, -35280?\nAnswer: -54704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1068591024?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 10567 + 80965 = -4*s, -5*s = 0. What is the thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4684\/2 - (16 + -15). Let d = u - 25713\/11. Find the common denominator of -10\/3 and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 10) to base 6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(-1 + sqrt(1053)) - (sqrt(1053)*1 + -4)) + -3 + (sqrt(1053) - (sqrt(1053) + -2 + -2)))*1 + 3)**2 + -4.\nAnswer: 180*sqrt(13) + 4233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 50, 1, -1\/3, 10, 0.03, -0.292?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -281, -12, 3 in increasing order.\nAnswer: -281, -12, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhhhhhhhhhvhhhvhhhhh. What is prob of sequence hh?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f. Let t(q) be the second derivative of -2 - 5*q**3 + 7*q + 6 + 6*q**3. What is a(t(x))?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 22 + 18. What is the units digit of (-155)\/n + (-2)\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 299 = -2*g + 2*s, 3*g = 3*s + 297. Let b(q) = -47*q**2 - 52*q**2 + g*q**2. Let h(w) be the first derivative of 2*w**3\/3 + 1. Calculate h(b(m)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34595681 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 30285.9 microseconds?\nAnswer: 30285900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -0.1 (c) -6224 (d) -18 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 0 + 4 + q - 4. Let r(b) = 16*b**2. Let c(z) = -16*z**2 + 1. Let u(s) = 1. Let a(f) = c(f) - u(f). Let l(v) = -2*a(v) - 3*r(v). Calculate y(l(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 7:52 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 609*t**3 - 598*t**3 + 2 + 1200*t**3.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 12 = -x + 5, -2*x - 11 = 5*l. Let n(a) = a**2 - 5*a + 4. Let t(q) = -q + 1. Let s(u) = -n(u) + 6*t(u). Calculate s(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - z**2 + 4*z**2 + (2*z - 4*z + z)*(-4*z - 3*z + 0*z) - 1 + 2*z**2 + 1 + (2 - 3 + 2)*(4*z**2 - 2*z**2 - z**2) as h*z**2 + j*z + w and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13486 + -13482. What is the closest to 1\/2 in n, 3, 0.18, 0.05?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 - 1192 - 1194 - 1182 + 3568.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2957 (base 15) in base 16?\nAnswer: -2299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -777 divided by 6.\nAnswer: -259\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + ((-1 + sqrt(1088))**2 + -3 - (sqrt(17) + sqrt(68) + sqrt(68) + 0 + (sqrt(17) - sqrt(272)*-5 - sqrt(17)))**2).\nAnswer: -9543 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -525084, -525080, -525076, -525072, -525068?\nAnswer: -525064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11*56\/(-7546)*546\/(-156)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13476680 divided by 35.\nAnswer: 385048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + 47 - (-10 + 1) - (15 + 1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/42)\/((-12)\/14)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70603\/5712 - 670\/51. What is the common denominator of -13\/16 and c?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 17 + 62 = 0. Solve m + k = 6*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 7:56 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 973 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422471 take away -20143017?\nAnswer: 21565488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3263075 nanometers in meters?\nAnswer: 0.0000000003263075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8107616 and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 1d?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q + 7*q**2 - q**2 - q**3 - 2 - 2. Let y be i(5). Let j(x) = x - 6. Let h be j(7). Put y, 4, h in decreasing order.\nAnswer: 4, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25052052207.69999273 + 25052052311. Let r = n - 103.3. Round r to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16*42000*25 - 0. Suppose 0*k + v = 2*k. What is k rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -221.\nAnswer: 4\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*u + 26 = -36*u. Suppose -2 = -12*g - u. Solve q - 3 = -g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 21*o - 37. Let c be n(9). Let v = c - 149. Solve 3*d = v*f + 6, 0*f - 4*f = 4*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 l when three letters picked without replacement from llllllllwwlw.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367189 is divided by 103.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3\/7 - 60*j**2\/7 - 66*j\/7 + 124\/7 = 0.\nAnswer: -2, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -110 + 113 + -9 + 6 - -21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2040, -3985, -5842, -7611, -9292, -10885, -12390?\n\"Answer: 44*q**2 - 2077*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 7. Let k(b) = 3. Suppose 2*f - f = 3. Let h be 5 - 6*(-2)\/6. What is f*m(y) + h*k(y)?\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 8*n**2 + 14*n + 5. Let g be r(5). Let p(o) be the second derivative of o + g*o**2 - 1\/66*o**4 + 0*o**3 + 0. Factor p(w).\nAnswer: -2*w**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2413486944 to the power of 1\/2, to the nearest integer?\nAnswer: 49127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 - 0.3. Suppose -9*u + 2*u - 14 = 0. Let p be (-9)\/(-5) + 1*-2. Put c, p, u in descending order.\nAnswer: c, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.64 minus 6548340?\nAnswer: -6548411.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5729 and 2.9.\nAnswer: 2.3271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 12*r**2 - 4*r. Let m(g) = g**2 + 1. Let k(p) = -i(p) - 5*m(p). Calculate the remainder when k(-6) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1422387816?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 6, d: 2, u: 3, c: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 - 305 = -7*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -32 times -7967\nAnswer: 254944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (5 + 4 + 0 - (9 - -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*i + 41 = 0, 4*b - i + 0*i - 37 = 0. Suppose b - 3 = k. Solve 5*s + 13 = t, -k*s - t - 14 - 3 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**3 - 5*b**2 - 7*b + 1. Let x = -75 - -72. What is the units digit of k(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7551 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-260)\/(-14))\/((-9)\/(-63)). Let y = 74 - k. Let a = 95 + y. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -70535, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1010211222110 (base 3) to base 6\nAnswer: 21003150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32345*-1\nAnswer: -32345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/4*(-4)\/40. Let z be (-3)\/3 + (-1)\/3. Let s = -0.25 - 0.05. Sort w, z, s in ascending order.\nAnswer: z, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (840\/240)\/((-1)\/2 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 976725.1 nanoseconds to microseconds.\nAnswer: 976.7251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 18\/5*u**2 + 3\/5*u**3 + 27\/5*u = 0. Calculate u.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.1, 76, 1, -4 in descending order.\nAnswer: 76, 1, -0.1, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140564 is divided by 2417?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -0.037, 0.02, -7, -3?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -810*j + 169. Is b(-7) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-9) + 1)*9\/14. Put 4, l, -5 in ascending order.\nAnswer: -5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 56070224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2905*m - 1256. Let d(v) = -5812*v - 2508. Let l(g) = 3*d(g) - 7*j(g). Find the first derivative of l(c) wrt c.\nAnswer: 2899","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 4*g**3 + 3*g**3 + 0*g**3)*(4*g**2 - 8*g**2 - 2*g**2).\nAnswer: 6*g**5 + 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*j**5\/3 - 118*j**4\/3 + 38*j**3 - 34*j**2\/3 - 2*j\/3 = 0 for j.\nAnswer: -1\/20, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 461716889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q**2 + 28*q**2 + 54*q**2)*(2*q**3 - 3*q**3 + 0*q**3)*(1 + 0 + 0).\nAnswer: -73*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*o - 2*o = 137, -63 = -3*c - 4*o. Let x be (-6 - (-130)\/c)\/(4\/(-30)). Suppose 5*r - 3*f - 8282 = -x*f, 2*f = -2*r + 3312. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**8\/336 - k**4\/2 + 17*k**2. Find the second derivative of m(j) wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5783 - -8198. Let q be 32\/(-12)*g\/14. Let j = 783 + q. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 4:49 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22681*w**3 + 410*w**2 + 4825330*w wrt w.\nAnswer: 136086*w + 820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1 = 8. Suppose n - 7 + s = 0. Suppose n*c + 2 = 6*c. Which is smaller: c or -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 3. Let t = -0.08 - 0.02. What is the nearest to r in 1\/2, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 1027*c**2 + 3090*c.\nAnswer: -c*(c - 1030)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -26*w. Let q(t) = 4*t - 3*t - 5*t + 5*t. What is q(i(p))?\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = -t - 2, 2*t = -2*v - 10. Let o be (1 + -1 - v) + 0 + 4. Solve 0 = 2*c - 8, -s + o = 2*s - c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 4:52 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 4*r**2 - 6*r + 4. Let d be h(-5). Let g = -7 + d. Solve 0 = b - w - g*w - 1, -4*w = -3*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c - 12. Let z be (-11 + 7 - 0) + 4\/2. Let r be m(z). Solve -4*x + r*x - 6 = -5*o, -5*x + 9 = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 3 - (7632\/(-96) - -43)\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1952262 greater than -1952263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351*u**2 + 758*u**3 - 343*u**2 - 343*u**2 + 1037*u**2.\nAnswer: 758*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + sqrt(2057) + 4*sqrt(2057))**2 + sqrt(2057) + (5*((sqrt(2057) - -4*sqrt(2057)) + sqrt(2057)))**2).\nAnswer: -11416350 - 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2 + 1*(1 + sqrt(192)) + -3*2*sqrt(192) - -3*(-5 + 2*sqrt(192))*4)*6)**2.\nAnswer: -669408*sqrt(3) + 2629921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7*y + 42. Let z(h) = 10*h - 63. Let b(p) = -7*q(p) - 5*z(p). Calculate the lowest common multiple of ((-15)\/10)\/((-6)\/40) and b(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*-2*1)**2.\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from lltzzzl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 + b**2 - 3*b**3 + b**3 to the form o*b + a*b**2 + l*b**3 + r and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 20*s**2 - 4. Let f be l(2). Let y = f + -33. Let q = y + -20. Calculate the highest common factor of 184 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2285, 2281, 2277, 2273, 2269?\n\"Answer: -4*p + 2289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 17. Let h be b(-14). Let c(w) = -4*w - 7. Let u be c(-3). What is the second derivative of u*j**5 + 7*j**5 + 7*j - j**5 - h*j**5 wrt j?\nAnswer: 160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2774021 is divided by 693454?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-5 + 10 + (6 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 1.3. Let c = 19\/6 + -221\/66. Let u = -1954 - -1949. What is the fourth biggest value in u, c, 2\/7, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 9:29 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, 8, -1\/2, -2, -23418?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(119))\/sqrt(7) + 2 - (2 + sqrt(17) + sqrt(187)\/(sqrt(44)\/sqrt(4) + sqrt(11))))*-2 + 5)**2.\nAnswer: 70*sqrt(17) + 858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -41527.07 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - p - 11. Let c be k(8). Let d be (2 + c\/(-25))*2. Put d, 5, -1\/2 in increasing order.\nAnswer: -1\/2, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 11022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*q + 10 + 34, 5*q = 5. Let x be 5*(7\/m + (-469)\/(-6)). What is the highest common factor of x and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 376536181*f**2 - 518632962 wrt f?\nAnswer: 753072362*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/(1*14\/56).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(2\/27)*v)*v)\/v)**(1\/10) assuming v is positive.\nAnswer: v**(-1\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1940 - -1944. Sort 0.03, -3, r, 0.2 in descending order.\nAnswer: r, 0.2, 0.03, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 127*a*i**3*u - 11*a*i**2*u - 2*a*i*u + 2*i**4*u + 3*i**2*u - 3*u wrt i.\nAnswer: 762*a*u + 48*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17104 is divided by 201?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - z = -2*z + 37, 4*m - 4*z - 52 = 0. Let p be 10\/8 + ((-270)\/24)\/(-15). Calculate the lowest common multiple of 0*1\/p + 11 + -5 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511285536 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*y + 51*y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3175 and -0.809?\nAnswer: 2568.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2\/(s\/(s\/(s**(-3)*s))))\/(s**10\/s*s**(1\/2)*s) assuming s is positive.\nAnswer: s**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9009834um to kilometers.\nAnswer: 0.0000000009009834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -8. Suppose r = -7*i - i + 1240. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3541 = -5*p - 8*w, -3*p - 4*w = 2*p + 3573. Is p <= -711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d + 5. Let x(z) = 4*z - 6. Let a(n) = 6*c(n) + 5*x(n). Let r(s) = -122*s**2. Give r(a(f)).\nAnswer: -1952*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-4\/7)*d*d)\/d**(2\/3))\/(d**(-3\/4)*d**(-5)))**30)**21 assuming d is positive.\nAnswer: d**(9465\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (209\/(-4))\/(639\/(-18)). Let l be (-2 + (-1160)\/(-568))\/(3\/2). Let d = p + l. Which is greater: 2 or d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 504894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2. Let l(w) = -w**2 - 179*w + 179*w. Give l(x(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 35486 = x + 6211, 0 = -3*x - 5*c + 87809. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(4\/15))\/(q\/(q\/(q*q**(-24)*q))) assuming q is positive.\nAnswer: q**(349\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 938.6 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(8\/(-3)))\/(72\/(-48)). Put -2, -0.2, t, 0.4 in descending order.\nAnswer: 0.4, -0.2, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*l + i, -3*i + 5 - 12 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 1\/21 (c) 0.4 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 9. Let q be 28\/2 + (-2 - 0)*-2. Is ((-106)\/3)\/(d*3\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 171*b - 877. What is w(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, p: 1, t: 9}. What is prob of picking 2 t?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, x: 4}. Give prob of sequence xxx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 181 - 6*s**3 + s**2 + 88 + 3*s + 183 - 3*s**2 + 213 + 52*s**4 wrt s?\nAnswer: 624*s**2 - 36*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252 divided by -4.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 + 74 + z - 199.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x + 4*t + 2 = 0, -55 = -5*x + 2*t. Calculate the remainder when (35\/4)\/((-1)\/(-4)) is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3 - 493*i**2 - 4346*i + 4840 = 0. Calculate i.\nAnswer: -484, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -69*m**2 + 6*m - 5. Let x be g(2). Let b = 60 - x. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 4*h = 12. Suppose -4*o - 11 + 3 = 0, h*o = -2*j + 16. Calculate the lowest common multiple of j and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(9\/4)*y)\/(y\/(y\/y**(3\/7))))**(-23)*(y**5\/(y\/(y\/y**(-2\/23))))**(-18) assuming y is positive.\nAnswer: y**(-115571\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-7)*(-5)\/70.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d + d + 0*d - 2*d. Let f(g) = -g**3 - 9*g**2 + 12*g + 36. Let y be f(-10). Let k(r) = -12*r - 7*r + y*r. What is l(k(x))?\nAnswer: 33*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6735\/26216 + 655\/232. Let v = -282229\/678 - j. Let k = 423 + v. What is the common denominator of -83\/4 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2392.2 + 3023. Round g to the nearest ten.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -41\/13, -2 in descending order.\nAnswer: 0.2, -2, -41\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1aa13884 + -18?\nAnswer: 1aa13867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6439 = -539*u - 1316*u - 10256 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**4\/2 - 2*w**2 - 18*w. Let q(u) = 11*u**2 + 7. Let t(n) = -4*q(n) - 7*s(n). Let g(j) = -30*j. What is g(t(m))?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -57*q - 64 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 36*f**3 + 45*f**2 + 45*f + 45. Let q(r) be the second derivative of r**5\/20 + r**4\/12 + r**3\/6 + r**2\/2 + 100*r + 4. Determine -45*q(m) + v(m).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + -110010100001?\nAnswer: -110010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.48 times 6?\nAnswer: 254.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 2*f - 80. Suppose -h + 3 = -r, -3*r + 5*r + 6 = 0. Suppose -12*n + 7*n + f = h. Solve -n*z = 5*s - 45, -6*z + 4*s + 5 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-80)*-4*40\/5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*n + 0*n + 201 = 0, 0 = -4*i - 3*n + 273. Suppose -4*a = -0*a - i. Let t be a\/14 - (-10)\/(-35). Solve -3 - t = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 742614232 divided by -6\nAnswer: -371307116\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -6. Calculate the remainder when (720\/(-135) + 76\/12)\/(2\/106) is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1 - -47492)*1)\/((-5)\/(-25)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/13614307 and -23\/123095.\nAnswer: 68071535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 47*r**2 + r - 17. Let o(b) = 12*b**2 - 4. Let z(n) = -15*o(n) + 4*p(n). Let z(h) = 0. What is h?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(-1*sqrt(245)))\/((sqrt(32)\/(sqrt(50) + sqrt(2)))\/sqrt(8)).\nAnswer: -6*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 - q**2 + 0*q**2 + (-119*q + 1002*q + 155*q)*(-4 - q + 4).\nAnswer: -1039*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-539)*(-539)\/(-9261)*-9?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 954?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*q + 52465 + 15362. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1066 divide 27943428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f + 16*f + 4*f + (-3*f + 0*f + 2*f)*(2 - 1 - 3).\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 490, 1975, 4448, 7909, 12358, 17795?\nAnswer: 24220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 921 + 2920. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4558?\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*-6*(-36)\/(-180)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o = 3*a - 301, 4*a + o - 50 = 210. Are a and 102 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.2846 + 1.1336. Let j = a + 0.051. Round j to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 8. Let b be m(-10). Let d be (-10)\/8 - b\/8. Let p be (12\/10)\/(d\/(-30)). Calculate the greatest common divisor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6002 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41134832 and 35992978.\nAnswer: 287943824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x - 3*x**4)*(3 - 8 - 10).\nAnswer: 45*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-8))\/(-26 - 4935\/(-188)). Let o(g) = 2*g**2 + 3*g + 1. Let m be o(-2). Is m not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 + 9*o + 5. Let r(q) = -q**2 + 4*q + 2. Give 13*r(x) - 6*u(x).\nAnswer: -x**2 - 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a + 5. Let d = a + 10. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 16 - 9)*(t + t + 0*t).\nAnswer: 38*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (1 + sqrt(245))) + sqrt(5) - sqrt(45)*2.\nAnswer: -11*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 + 0.8. Let q = 0.766 + 0.114. Let z = q - 0.98. Put y, 1.3, z in increasing order.\nAnswer: z, y, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171.24 + -167. Let m = 12.76 - 13. Let o = f + m. Sort 8, o, -0.2.\nAnswer: -0.2, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*o - 14 = -5*o, 0 = -4*d - 4*o + 16. Let v(n) = -4 + n**2 + d*n**2 - 2*n**2 + 4*n. What is the units digit of v(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huhh when four letters picked without replacement from {h: 3, u: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9465 + -9463. Let k = -11 - -7. What is the third biggest value in v, k, 3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 10968. Let x(a) = 286*a. Determine q(x(d)).\nAnswer: -858*d - 10968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**2 - 6*v - 5. Does 14 divide y(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102 + -98. Let u be t - (-114)\/14 - (-2)\/(-14). Let a be 6*(u\/8 - 0). Solve a*z = 13*z + 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632915331?\nAnswer: 3, 210971777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -280*h - 9*h**2 - 12*h**3 + 280*h wrt h.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 11:52 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.1 + 9.1. Let b be (-9)\/7 + -1 + 2. What is the smallest value in b, 6\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 - 745*u - 15247. What is q(-19)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-25452.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*k - 848 - 7*k**3 + 850 - 4*k**3.\nAnswer: -11*k**3 + 134*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2 + 2*y**3 + 19*y + 12*y**2 - 14*y + 3*y**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -c + 3 + 4, 3*o = -6*c + 42. Solve -4*t - c*a + 4*a = 3, 3*t - 24 = 3*a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 341 and 7?\nAnswer: 2387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 5, -217, -0.008?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62422 and 1089740?\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1563588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhpl when four letters picked without replacement from lxdxpmh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 10. Calculate the remainder when 24 is divided by 13\/1 + 0\/u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -101*g - 1 - 69*g - 6*g**2 + 158*g - g**2 + 1 - 1 + (0*g + 2*g - 5*g)*(-2*g + 4*g + 0*g).\nAnswer: -13*g**2 - 12*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -266.797.\nAnswer: -80.0391","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + b**2. Let l(k) = 14*k**3 + 11*k**2 + 1. Let j(i) = -i**3 - 31*i**2 - 83*i + 6. Let d be j(-28). What is d*o(s) + 2*l(s)?\nAnswer: 6*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29131*l - 9712*l - 16218 = 9771*l + 9807*l for l.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -4. Suppose -a = 2*a - 18. Let k be (8\/21)\/(a\/(-9)). Which is bigger: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -138476, -138473, -138470, -138467, -138464?\n\"Answer: 3*g - 138479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -19*m**3 + 2*m**2 + 34*m - 5. Let t(i) = 32*i**3 - 4*i**2 - 66*i + 10. Determine 5*b(q) + 3*t(q).\nAnswer: q**3 - 2*q**2 - 28*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 183\/(-27) + (-7)\/(-1)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**3 + a + 1. Let v be y(-1). Let n(g) = 2*g**v + 0*g - 1 + 0*g**3 + 2*g - 5*g**2. Is n(3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o**3 - 2*o - 2. Let g be f(-1). Let m = -0.2 - -0.5. Let r = 1.908 - -0.092. Which is the closest to 0.4? (a) r (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13724 = -49424*p + 49132*p for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/236 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (154\/4)\/((-17116)\/(-12448))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 2199 - 2189 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -298 + 422. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncccccccnq. What is prob of sequence cqn?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 >= 6001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23752343117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-9) - (-131)\/3. Suppose 11*m - f = 6*m. Solve -3*t + 5*p = -28, p - 2 + m = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 greater than 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 + 4*n + 49*n**2 - 103*n**2 + 57*n**2 in the form l*n**3 + r*n**2 + o*n + t and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00494772 to 5 decimal places.\nAnswer: -0.00495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758 is divided by 236.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 71, 184, 347, 560, 823, 1136?\nAnswer: 1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 45\/25*(2 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469 less than -6.421966608?\nAnswer: -475.421966608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 241, 464, 685, 904, 1121?\n\"Answer: -d**2 + 226*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -10*a + 11*a - 2 - 2 + 0. Let w be x(6). Let h(s) = -s + 2. Let f be h(w). Solve -3*z - z + 20 = f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 228 + -204. Calculate the smallest common multiple of 8 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -14 - -19 - ((-52)\/(-9) + -1). Suppose -4\/9*n**2 - d*n + 4\/9 + 2\/9*n**3 = 0. Calculate n.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 67*v + 1216. Determine f(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 + 3*x**3 - 3*x**3)*(1 - 1 + 2*x) + 6*x**5 - x**5 - 4*x**5 - 23*x**3 + 4*x**5 + 23*x**3 + (2*x**3 + 3*x**3 - 6*x**3)*(-4*x**2 + 6*x**2 - x**2).\nAnswer: 2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02223656 rounded to five dps?\nAnswer: 0.02224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 31*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.414496 rounded to three dps?\nAnswer: -0.414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 5*k - 3*l, -k + 26*l = 30*l + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51452055 is divided by 10290410.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b + 67. Let f(c) = 5*c + 56. Let g be f(-14). Let j be r(g). Solve j*u - 20 = -9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 0*x**2 - 1464*x + 27 + x**2 + 1484*x. Let k be o(-19). Calculate the highest common divisor of 56 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6434 - 2035. Suppose 0 = -2*d + 2, 5*f = -d - z + 11885. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 5, 0.1, -8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 444 divided by 148\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*d - 18, -55 = -4*d + 4*x + x. Suppose 2*i + 61 = d*h - 7*h, -2*i = -4*h + 78. Solve r = 3*u + 15, r = -4*u + 4 - h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42757 is divided by 10687.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -376\/2681 - 1\/383. Sort -0.01, u, 0.\nAnswer: u, -0.01, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2597)\/(-1113) + (-58)\/30?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h + 3*c = -28, -3*h + 84 = 3*c. Suppose 2*u - 4 = 4*m - 8*m, 0 = -4*m + 4*u + h. Solve 6*f + 22 = m*f + 5*a, 4*a = -4*f + 24 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = j - 4*j. Suppose 0 = 2*n - j*n - 2*x - 16, 5*x = -3*n. Solve 3*a - 1 = 4*p, 2 = n*a - 3*a - 3*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.64 and 0.219.\nAnswer: -0.79716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/(j*j\/(j**(-4)*j)*j*j)))\/j*j\/((j*j**(-7\/4)\/j)\/j))**(-11\/6)*(((j*j**(3\/8))\/j)\/(j**(-7)*j*j*j))**(-1\/3) assuming j is positive.\nAnswer: j**(-127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -5 - -10099*6\/(-20). Let a = -3029 - y. Calculate the common denominator of a and 55\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1452 divided by -6501\nAnswer: -44\/197","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 43 = 11, 0 = 5*b - 2*a + a + 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 3*(sqrt(605) + 1)*5*-6)*3)**2.\nAnswer: 1639440*sqrt(5) + 44180676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 90 = 5*c. Suppose -73 = -5*r - 2*l, -c = -2*r + r + 3*l. What is the highest common divisor of 6 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 266052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1137*u + 0 - 6 = 1140*u - 5*m, 0 = -m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.3025.\nAnswer: -0.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -100?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**2 + o**2 + 0*o**2)*(-4*o + 3*o - o)*(-8*o + 201 - 201) as m + x*o + g*o**2 + z*o**3 + b*o**4 and give b.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 34, 37, 40?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1698714, 1698712, 1698710?\nAnswer: 1698708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/48 - 2\/(-3). Let x = 5.02 - 0.02. Suppose -3*b + 4*m - 15 = 2*b, 2*m + 12 = -4*b. What is the biggest value in i, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-1) - 3)*19\/(-3). Let y = 83 + u. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**3 + 33*o**4 - 30*o**4 + 2*o + o**3 - 9 - 69*o**2 + 130*o**2 - 66*o**2 in the form a*o**4 + t*o**2 + h + y*o**3 + b*o and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*w + 30*w + 175. Suppose 0 = -59*j + 64*j - 25. Calculate the greatest common factor of w and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 - 205. Let r be ((f*12)\/(-3))\/2. Which is bigger: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**5 + 39*f**4 - 120*f**3 + 108*f**2.\nAnswer: -3*f**2*(f - 9)*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 9550015 = -5*z, -5*c - 9549985 = -10*c - 5*z. Round c to the nearest ten thousand.\nAnswer: 1910000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, h: 2}. Give prob of sequence zzhz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2130*o**5 - 27*o**3 + 23279*o**2 - 4*o.\nAnswer: 127800*o**2 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4+-3527414996646\nAnswer: -3527414996650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.081 + -4.081. Let j = 0 - i. Let b = 4 + -3.7. What is the closest to -0.1 in b, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3480c - -4?\nAnswer: -34808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120030997.\nAnswer: 23, 37, 47, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1074 + 1072.847. Let r = g - -1.2003. What is r rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/25 + 9\/5 + 1330. Let n(p) = 1332*p + 23*p**2 - s*p. Let g(l) = -2*l. Give g(n(d)).\nAnswer: -46*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133 or 146263?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3621857, -7243713, -10865559, -14487389, -18109197?\nAnswer: -21730977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1408, -5498, -12268, -21718, -33848?\n\"Answer: -1340*y**2 - 70*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(2) - sqrt(18)\/(sqrt(36)\/sqrt(4)))**2 - sqrt(2)) + (-2 + sqrt(2) + sqrt(16)\/sqrt(8) - sqrt(2))**2).\nAnswer: -10*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1523358830 to the nearest integer?\nAnswer: 39030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g\/(g\/(g*g\/g**(-8))))\/g))**(-3\/11))**(-11) assuming g is positive.\nAnswer: g**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -7, 1\/15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/7)\/u**(11\/5) assuming u is positive.\nAnswer: u**(-67\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123731529 + -124548471. What is x rounded to the nearest 1000000?\nAnswer: -248000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2105, -2162, -2221, -2282, -2345, -2410, -2477?\n\"Answer: -s**2 - 54*s - 2050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94 - -647\/7. Let g be (2 - (-3 + 7)) + 294. Calculate the common denominator of (-2)\/(-8)*g\/9 and t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36797.\nAnswer: 31, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339340.\nAnswer: 2, 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 64374 or 64248?\nAnswer: 64374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -48. Solve d*g - 2 = 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 6*q**2 - 6*q - 25. Let v be k(-5). Suppose v = -10*g + 240. Calculate the highest common factor of 231 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 - 0.2. Which is the second biggest value? (a) -1 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41762 is divided by 1545.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 6:12 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863286041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-18 + (-5 - -14))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12679*s - 38055*s + 12685*s + 12690*s + 176.\nAnswer: -s + 176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 49768 and 192.9.\nAnswer: 49960.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 15 + 3*g)*(-29 - 13 + 8)*(0*g + 4*g - 3*g) to c*g + y*g**2 + p and give y.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afffffafaffafafffff. Give prob of picking 3 a.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1993858?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-96 + 18 - 132)*(0*d**2 + 0*d**2 - 2*d**3) to the form q + a*d**3 + z*d**2 + r*d and give a.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -141, -153, -179, -225, -297, -401, -543, -729?\n\"Answer: -v**3 - v**2 - 2*v - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/28? (a) 0 (b) 7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/2 - 0) + (-1)\/1. Solve y + v*g - 2 = -0*y, 5*g - 5 = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from bbjjjjj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 593, -2, -3\/10.\nAnswer: -2, -3\/10, 593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -0.0862, 3.\nAnswer: -2\/15, -0.0862, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 5*s**2 + 5*s - 1. Let n(f) = 7 - 1 + 1 - f - 2. Let v be n(9). Determine b(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3383 = -2*j - 2*c - 1291, -6 = -3*c. What is the second derivative of 11*l + j - 1044 - 7*l**2 wrt l?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 2*p**3 + 4*p**3 - 5 in the form f*p**3 + s*p + y*p**2 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 374041569?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67590.54 centuries to millennia.\nAnswer: 6759.054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.065 + -38.065. Let d = 234783.08709942 - 234821.0871. Let t = y - d. Round t to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1 + sqrt(1900) - (sqrt(1900) + (sqrt(1900) - (sqrt(1900) - (sqrt(1900) + 1))*-1)))*5)**2.\nAnswer: 500*sqrt(19) + 47525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 128.2099, -7, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 3*s - 4. Let r be i(4). Suppose r*n + 4*n - 44 = 0. Calculate the remainder when 1 - 0 - (-6 - 12) is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3775366 and 3472.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 215?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022395ng in micrograms?\nAnswer: 0.000022395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2303.4883143 - -2997.\nAnswer: 693.5116857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5628 from -36.661606661.\nAnswer: -37.224406661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9729, -18334, -32667, -52722, -78493?\n\"Answer: q**3 - 2870*q**2 - 2*q - 6858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + 1 + -2*sqrt(112) + 1.\nAnswer: -4*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4850667, 4850675, 4850687, 4850703?\nAnswer: 4850723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 2*j**2 + 0*j**2)*((-1 + 0 + 3)*(3*j - 3*j - j) + 2 + 3*j - 2).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 4*n**2 - 11*n + 34. Let h be k(5). Solve h*q + 5*f = -29, -7 - 6 = -2*q + 3*f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 0*f**2 + 6*f + 0 + 0*f**3 + 1\/5*f**5 - 1\/2*f**4. What is the third derivative of z(l) wrt l?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1 - 6) + -207 + 211?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -5*n**4\/36 + 55*n**3\/18 - 25*n**2\/3 - 3*n + 51. Determine y, given that s(y) = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 220*i - 38 + 223*i - 666*i + 224*i. What is w(28)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + 759\/224 - 3 and -1\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -5 - 4 - -2 - (-782 + 791)) + 53.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5782114.\nAnswer: 2, 13, 222389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 28 = 2*a, a - 1 - 22 = -4*n. Suppose 2*q - 12 = -q. Suppose 3*z - q*o = 9, 6 + 0 = 2*z + 3*o. Calculate the smallest common multiple of z and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (0 - 20))*-1. Let y = -22 - o. Suppose 19 = 5*r - y. Solve 2*n + 12 = 5*n, r*z = 5*n - 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2306.96646 + -2307. Let s = 38 + -38.034. Let y = s - h. Round y to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**3\/3 - 4440*x**2 - 3687404*x + 44462224\/3 = 0. What is x?\nAnswer: -1667, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 9*c**2 + 8*c + 15. Let f be i(-8). Suppose 2*j = -j + f. Solve a = -x + 2, -j*a - 2*x = x - 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15219)\/(-1215) + (-108)\/(-1458) + (-13)\/((-13)\/(-12)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-12))\/(966\/112).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1450*k + 7303. Calculate t(5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/264 and -67\/30.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/93, 0.5, 2147.3 in descending order.\nAnswer: 2147.3, 0.5, 2\/93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*q - 16. Let z(n) be the second derivative of n**3 + 1\/12*n**4 - q*n**2 + 0 + 2*n. Determine z(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 5582*j + 83966. Determine a(15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*h + 37*h - 81*h + (-4*h + 0*h + 3*h)*(1 + 1 - 1) to b + c*h and give c.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 8*d - 4269 = -2*r, -1424 = -d - r. What is the highest common divisor of 49 and d?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 18*o**2 - 20*o + 24. Let f be s(19). What is the third smallest value in f, 13, -3, 3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2))**(-18))**(-3) assuming i is positive.\nAnswer: i**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 6*o**2 + 2. Let d be f(6). Let t = 17 + d. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 5*z**4 + 2*z**3 - 42*z**2 - 5*z**2 - 3*z**4 + 22*z**2 + 4*z + 113*z**2 to the form m*z**2 + i*z**3 + v + p*z**4 + b*z and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-446992\nAnswer: -8939.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -8 (b) -4.855 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 237.964 - -0.036. Let h = 237 - n. Which is the smallest value? (a) h (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-14)*-18 + -1)*7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 5*y + y)*(2 + 3 - 3) + 0*y + 4*y - 2*y as x*y + o and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20979\/26 + 807. Let g = -58137 - -58136. What is the smallest value in g, m, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 9*d + 5. Let r be k(-9). Let l = -0.14 + -3.86. Let q = -1 + 1. Which is the nearest to q? (a) l (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -7*l**2\/9 - 836*l\/9 + 62092\/3 = 0.\nAnswer: -1634\/7, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*(-2 + sqrt(605)*2 + 0 + 4 + (sqrt(605) + 0)*-4 + -5))**2.\nAnswer: 2860*sqrt(5) + 60669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 517, 1033, 1547, 2059, 2569, 3077, 3583?\nAnswer: 4087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*b - 4, -2*b + 15 + 5 = 3*s. Solve -h = -2*i + s, 1 + 4 = 3*i - h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288, 918, 2272, 4734, 8688, 14518, 22608, 33342?\nAnswer: 47104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**2 + 3*n**2 + n**2)*(-1200 + 1203 + 324*n + 1105*n - 273*n) to the form r + s*n + z*n**2 + y*n**3 and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61289\/23 + 2663. Calculate the common denominator of 8\/7 and y.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 + 20*k**2 + 4*k + 44. Let w be f(-10). Suppose -32*x + w*r - 85337 = -37*x, 3*x - r - 51192 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -149 + 164. Which is smaller: 12 or f?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2613004.\nAnswer: 2, 79, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, c: 6, f: 2, o: 3, d: 1, x: 1}. Give prob of picking 1 f, 1 d, and 1 x.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b164 (base 13) in base 4?\nAnswer: 30323303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23533557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 105 + -103. Which is the nearest to -1\/2? (a) 2\/15 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -100973*h + 13025507. What is f(129)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-2)\/1)*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 - 60 - 19 - 2*y**2 to o*y + w + c*y**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13380 - -321017\/24. Let o = -12069\/44 - -2189\/8. What is the common denominator of u and o?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814*q + 7917 - 14925 - 30219 = 9171 for q.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-170259)\/171 + 30\/(-9). Which is smaller: -1000 or g?\nAnswer: -1000","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 23 = -3*o - 4*k, 0 = -4*o - 5*k + 22. Suppose o*r - 237 = -3*v, -4*v - 3*r = -78 - 233. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -34*q + 158. Let p(n) = 44*n - 159. Calculate -4*l(w) - 3*p(w).\nAnswer: 4*w - 155","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*x - 53*a*x + a + 3*x wrt a.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/5)\/a**(3\/5)*a\/(a\/(a*a**5*a))*a\/(a\/a**3) assuming a is positive.\nAnswer: a**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6927 = -2*o - 1885. Let g = o - 17687\/7. What is the common denominator of g and -46\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from xvxxexxxxveexqquueqq?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 + 296. Let m be c(0). Let a = -120 + m. Is 37 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*m = -14, 0 = -3*g + m + 3*m + 37. Let q(v) = 2*v - 16. Let p be q(g). Let d be (1 - 3)\/((-2)\/3). Solve d*u = p*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118445668.\nAnswer: 2, 11, 31, 86837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -83, -139, -205, -281, -367, -463?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9)*3)\/(1\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -417058\/183 + 2279. Is -1 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1109*h - 564*h = -1341*h - 41492 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 9 = -3*s. Suppose 6*v + 0 - s = 0. Solve 6 = p - v*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 37*l - 92. Calculate the remainder when 44 is divided by s(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 1716.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/(-15)*10\/(-6). Suppose 0 = -b*t + 2*k + 20, -k + 39 = 5*t - 0. Sort t, -4, 17 in descending order.\nAnswer: 17, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 11*p - 7. Let q(g) = 144*g - 93. Determine -27*l(n) + 2*q(n).\nAnswer: -9*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1126 + 1126.1. Let r be -15 - 2*(-3)\/6. Let i = 100\/7 + r. Which is the nearest to f? (a) 0.4 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4976.369nm in micrometers?\nAnswer: 4.976369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.88774 - -2.1253. What is w rounded to 2 dps?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-nine fifths of a millisecond?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j - 1. Let z(y) = 7*y - 1. Let q(c) = 3*a(c) - 4*z(c). Let t(w) = w - 5. Let r be t(9). Let o be ((-2)\/4)\/(r\/(-8)). Determine q(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -131*z**2 + 10*z - 36. Let u(j) = 44*j**2 - 3*j + 13. Let f(a) = -2*m(a) - 7*u(a). What is the second derivative of f(g) wrt g?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*c - 16 = 0, 7*k - 33 = 2*k - 4*c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c3924c - 0?\nAnswer: c3924c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (4 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 134*c**2 - 4476*c + 48. Give a(-28).\nAnswer: -1632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12987436.\nAnswer: 2, 7, 11, 149, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - -97. Let a(k) = -k**3 + 6*k**2 - k - 8. Let b be a(5). Suppose b*d - 12 = 11*d. What is the highest common divisor of m and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {g: 2, p: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1535 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v. Let q(j) = -2049*j. Calculate q(a(m)).\nAnswer: 4098*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*x**3 - 9*x**3 + 19*x**3 + (-4 + 3 + 2)*(0*x**3 + x**3 - 3*x**3) - 3*x**3 - x**3 + 3*x**3 in the form z + i*x**2 + w*x**3 + o*x and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4}. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109044 by 423.\nAnswer: -12116\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(10)\/(3*-1*sqrt(2) + sqrt(2)) - -3*(4 + 2 + (sqrt(80) - sqrt(5))).\nAnswer: 19 + 17*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -10*m + 5, 97*m = 4*n + 92*m + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8650)\/6*(-22 + (-1976)\/(-95)). Solve 1755 = -5*r + p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 14*o**2 - 23*o - 10. Give p(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(518\/(-42) + 12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykyykkkkky. Give prob of sequence kkky.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211352950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*y = -90, -3*w + 5*y + 120 = w. Let d be 54\/((-35)\/(-15) - 3). Let i = d + 93. What is the lowest common multiple of w and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 12:12 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*c - 58*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188997 and 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.5, 3, -64381, -5\/2 in decreasing order.\nAnswer: 3, -0.3, -0.5, -5\/2, -64381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*x + 15 = 0. Let m be x\/(3\/6*-3). Suppose -5*r + 260 = 2*s, -m*r + s = -s - 118. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39797, 79574, 119351, 159128, 198905?\nAnswer: 238682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1020 - -1024. What is the closest to 1 in 3, -3\/8, -2\/15, x?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14032303*a**2*m**3*s**3 - 413*a**2*m**2*s - a**2*m**2 + 549*a**2*s**3 + a*m**2*s**2 - 10*m**3*s**3 + 4*m*s wrt m?\nAnswer: -84193818*a**2*s**3 - 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 2:57 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 0 (c) 1\/10 (d) 52699\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) + (-60)\/(-9). Let s = d + -1. Suppose 0 = -5*q - s*g, 0 = -3*g - 1 - 2. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4687339 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 151 + -144. Solve 2*s = t*s - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 12198*o - 231772. Calculate v(19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, o: 1, y: 1}. Give prob of sequence nnn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-2)*3*(-4)\/10. Determine u so that 0*u**2 + 5*u**2 + 31*u**3 - 6 - u + u**2 - 30*u**w = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*x - 5136 + 4150 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 13*q + 27. Let a be n(11). What is the greatest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 786\/4369?\nAnswer: 786\/4369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 1, t: 1}. What is prob of sequence wtz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3376153 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k + 6 = 19*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 50663*u - 73 = 50659*u, 5*u + 92 = 10*i - 28 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + -78. Let s(c) be the third derivative of -c**6\/120 - 2*c**5\/15 - 13*c**4\/24 - c**3 - c**2. Let k be s(w). Sort -4, k, -3 in decreasing order.\nAnswer: k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142*g**4 + 2*g**2*n**3 - 99*g - n**3 wrt g?\nAnswer: 1704*g**2 + 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 117, 121, 127, 135, 145, 157, 171?\n\"Answer: o**2 + o + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 7, 1, -1\/4, -2\/13, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -356181817 at most -356181814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 9*w**2 + 5*w + 7. Let b be p(9). Suppose 4*x = 2*j - 56, 3*j - j - 3*x - b = 0. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 162011 and -0.3.\nAnswer: -48603.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 160 (b) -507 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 133 (c) 13 (d) -3\/4 (e) -5 (f) -0.1 (g) 1\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27743865 a multiple of 295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 2:26 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -529, -1308, -2429, -3892, -5697?\nAnswer: -7844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 c when three letters picked without replacement from {l: 1, k: 2, c: 5, o: 1, a: 1, j: 3}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2 + 3*i**3 + 20*i**4 + 72*i**4 + 88*i - 93*i**4 to h*i + l*i**3 + t + k*i**2 + o*i**4 and give h.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4697727.\nAnswer: 3, 23, 103, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2. Let f(j) = 3*j - 6. Suppose -i + 2*i - 1 = 0. Let n(l) = 1. Let h(y) = i*f(y) + 6*n(y). Determine h(t(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 3*p + 2*p)*(-p**3 - 7*p**3 - 11*p**3).\nAnswer: 38*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3, 0.\nAnswer: -3, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*r + 30*r + 42*r)*(1551 - 1551 + 163*r**3) - 3 - 2*r**4 + 3 in the form q*r**2 + b*r**4 + u*r**3 + s*r + d and give b.\nAnswer: 8148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/8 - -3\/8. Let v = 3586\/9 + -3598\/9. Which is the second smallest value? (a) -4 (b) r (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2060 + 13?\nAnswer: 2073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -0.6 (c) 0.5 (d) -1407\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1762366 divided by -881183?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 9*s + 10. Let i be m(8). Suppose 0 = i*b + 10, 2*h + b - 40 = -h. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/1 - (213 - 218). Which is greater: n or -177?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 438960 and 70.\nAnswer: 3072720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -8304*d - 24913. Calculate s(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 - 20144*r\/3 - 18653383\/3.\nAnswer: -(r + 973)*(r + 19171)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 3 = j + 4*q, -2*j + 5*q - 10 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*s - 83*s + 50 = 6*x, 19*x = 11*x + s + 60 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126910\/9 - -14102. Factor -4\/9*k + 0 - 2\/9*k**4 - u*k**3 - 10\/9*k**2.\nAnswer: -2*k*(k + 1)**2*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-15)\/(-12))\/(250\/1450).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25116 - 929279\/37. Calculate the common denominator of z and -99\/6808.\nAnswer: 6808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176124816 to the power of 1\/3, to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 63. Let m = -205 - -306. Let k = 103 - m. Calculate the remainder when c is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12, -42, -94, -168, -264, -382, -522?\n\"Answer: -11*q**2 + 3*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7269.116m in kilometers?\nAnswer: 7.269116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4416 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 11*g - 15*g + 5, g = 5*p - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z**41)\/(z\/z**(-18\/5)) assuming z is positive.\nAnswer: z**(197\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.09025 + 8.1. Round d to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2095860 and 3120?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2451 + 1.24466072. Round v to six decimal places.\nAnswer: -0.000439","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2320.9 times 5795\nAnswer: 13449615.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 48. What is the tens digit of 62\/4 + (-6)\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 43.62\nAnswer: 43.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - c - 1, 8 - 4 = 2*c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 78895915.19 to the nearest 1000.\nAnswer: 78896000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**4\/36 + 2*y**3\/3 - 6*y**2 + 233*y + 2. Factor c(s).\nAnswer: -(s - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 13*h**2 + 37*h + 13. Let z be ((-15)\/(180\/(-8)))\/((-4)\/(-54)). Let b be v(z). Solve -20*f + 8 = -b*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 3*(-6 - (-17)\/3). What is the third derivative of -119*y**2 - 122*y**b + 264*y**2 - 145*y**3 wrt y?\nAnswer: -870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 21021020020001?\nAnswer: -21021020020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14709083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1700*k**2 - 50*k - 69. Let o(x) = -424*x**2 - 13*x - 17. Let i(j) = 3*h(j) - 13*o(j). What is the second derivative of i(l) wrt l?\nAnswer: 824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12791?\nAnswer: 12791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*j - 2*t, -355*j - 8 = -351*j + 3*t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -32*j. Let f(h) = 1073*h. Calculate i(f(c)).\nAnswer: -34336*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*a + 2*w - 183, -4*a + 122 = -3*w. Suppose -5*x + 5*u = -a - 8, -40 = -5*x + 2*u. Solve 3*p - x = v, 0 = -p - p + 3*v + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 3 + 3)*((-4 + 4 + 1)*(-2 + 2 + 2*u) - 4*u + 6*u + 0*u + 413 - 5*u - 413) - 7092*u - 337*u**2 + 7092*u to the form h*u**2 + s + q*u and give h.\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 9*w + 350. Suppose 3*h + 2*q - w = -h, 3*h + 3*q = 51. Let v be 40\/h - (-6)\/(-27). Solve -v*l + k = 0, 8 = 3*l - l - 3*k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 466946624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*r = 3617 + 4088. What is the highest common divisor of r and 8303?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6*c = 6, -o = -c - 3. Let u be (o + 1)\/(4 + -3). List the prime factors of (-3 + 2)\/u*-6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5 + 549*d**4 - 3764*d**3 - 16256*d**2 - 2208*d + 21680 = 0 for d.\nAnswer: -2, 1, 10, 542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -388*h**2 + 25*h. Let r(t) = -779*t**2 + 45*t. Let f(d) = -9*g(d) + 5*r(d). Let c(p) be the third derivative of -p**4\/12 - p**2. Determine f(c(q)).\nAnswer: -1612*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Let o = q - -2. Suppose j + 0*j - o = 0. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m**2 - 10*m**2 + 58*m**2 + 59*m**2.\nAnswer: 94*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.36 - 0.64. Let q be ((-30)\/20)\/(7\/(-2)). What is the closest to k in q, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/7)\/(45\/(-210)))\/((2\/27)\/1)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 l when three letters picked without replacement from xyldy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 1\/(-1)*2. Let c = 1573 + -1570. What is the derivative of -731*d**c + 5 - 20 + 746*d**y wrt d?\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 145 = -177. Which is the biggest value? (a) -5 (b) 25 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 106, 155, 204, 253?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.331 - -241.331. Let x = -383 + g. Let r = x - -142.00000083. Round r to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538756*z**2 + 6606*z - 81\/4 = 0. Calculate z.\nAnswer: 9\/1468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6) + 11\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 17*k - 10. Let w be u(-6). Suppose w = -l - 5*z, 2*z = -2*z - 20. Does 14 divide 144\/l + (-20)\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l**2 - 40*l**2 - 45*l - 65*l**3 + 38*l**2 wrt l?\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.08 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = 7927 - 7948 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -288 by -8.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52904 is divided by 136.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (7\/420*12)\/((-2)\/8)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k - 2*k)*(-2 + 1 - 1) - 5063*k - 50206*k + 23747*k - 2650*k.\nAnswer: -34174*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -6587.341 and -0.5.\nAnswer: -6587.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3 + 2. Let v be 1 - c - (-5 - -5). Solve v = 4*a - 8 - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 9 = h + 2*u, 0 = -3*h + 3*u. Is 36 a factor of -129*(h\/2 - (-10)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -204, -410, -630, -870, -1136, -1434, -1770, -2150?\nAnswer: -2580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + n = 8, 16 = 9*j - 4*j + 3*n. What are the prime factors of -2 + j + 150\/5?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403214044.\nAnswer: 2, 100803511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -145 - -145. Let g(k) be the third derivative of 0 + 1\/12*k**4 - 4*k**2 + 0*k + 0*k**3 - 1\/60*k**6 + y*k**5. Solve g(j) = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58406?\nAnswer: 2, 19, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12608.8 - 12609. What is the closest to 1 in -0.02, q, 144?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358838*p - 5*p**3 + 3*p**3 - 358838*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 52832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -18. What is the closest to w in -19, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 151*n - 7. Suppose 2*c - 3*i = 6*c - 35, -2*i = -10. Suppose -p - 33 = -4*b, c*b - 11 = -5*p + 24. Is q(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 530 + -253. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4652, -9310, -13970, -18632, -23296, -27962, -32630?\nAnswer: -37300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s - 45 = 8*p - 60*s, 5*p + 3*s + 22 = 0. Let a(c) = 7*c**2 - 7*c - 15. Let g(h) = -11*h**2 + 11*h + 23. Give p*g(n) - 8*a(n).\nAnswer: -n**2 + n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-15)*c*c**(-3\/10))**(-30)*((c*c\/c**(-5))\/c**(-6\/7))\/(c**(-3)*c**0) assuming c is positive.\nAnswer: c**(3079\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**5\/5 + g**4 - 2*g**3 + 2*g**2 + 11*g. Factor a(b).\nAnswer: -4*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/15 and 11\/91242.\nAnswer: 456210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4342 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -39 - 3. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29, -86, -417, -1072, -2159?\n\"Answer: -18*d**3 + 11*d + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5773594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v**2 + 2*v - 1. Let d be y(1). Let o(u) = u**2 - 2*u - 4*u - 4 + 0*u. Let q be o(d). Calculate the highest common divisor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -159*c + 161*c + 24, -2*c + y - 12 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4, -3\/4, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17657 by 18.\nAnswer: -17657\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 6*z - 2*z = 44, 52 = 3*q - z. Let b be 5*(-5)\/(25\/3). What is the lowest common multiple of -25*(26\/10 + b) and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -3022?\nAnswer: 3027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*w**5 - 6*w**5 - 18*w**5 + (-4 + 1 + 1)*(-215 - w**5 + 46*w**4 - 44*w**4 + 683).\nAnswer: -35*w**5 - 4*w**4 - 936","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17414, -34866, -52318, -69770, -87222?\n\"Answer: -17452*p + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52 or -157\/3?\nAnswer: -157\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 68697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 + 62.45. What is f rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2688, -2733, -2798, -2883?\nAnswer: -2988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -34*g + 19 + 425 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -64. Suppose -r - 2*h + 58 = -5, s = 2*r + h - 120. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*a - 45*a - 40. What is the fourth smallest value in -3, a, -2\/11, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10033033312 (base 4) to base 13.\nAnswer: -2cb91b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*d - 128, -3*l - 5*d + 49 + 133 = 0. Let m be (12\/(-26))\/((18 - -6)\/(-936)). Calculate the highest common divisor of m and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59594\/15 + 3976. Calculate the common denominator of j and -109\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -s - 163, v = 5*v - 4*s - 140. Let x = -19 + v. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 11205186*k + 32218550*k + 1.\nAnswer: 43423736*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s - 67 + 101 - 34.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**3\/3 - 64879*a**2\/3 + 349874505*a + 29188758321 = 0.\nAnswer: -83, 32481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) 19 (b) 382 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15659 is divided by 1552?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdcshcdcdchcwchd. What is prob of picking 1 c and 1 h?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 459 or 386?\nAnswer: 459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 957 = d - 4*v, 2*d - 2602 + 683 = 3*v. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7620? (a) -2\/5 (b) 0.5 (c) -1 (d) 5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 = -470*z + 438*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11080807307 + -11080801677.917433. Let w = 5520.0825 - y. Let t = -109 - w. Round t to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1178967192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.954 - -0.046. Let a = x + 87. Let u = a + -106.43. What is u rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 5:40 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284922502?\nAnswer: 2, 2011, 70841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**3\/3 + 4*w**2 + w + 3. Let l be b(-4). Let v = l + 13. Sort -4, v, 5 in ascending order.\nAnswer: -4, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 42.72. Let l = -0.12 + v. Which is the nearest to 1? (a) 0.05 (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from wmfywy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-214)\/(-6))\/(((-36)\/(-4))\/27). Let u = 1588 - z. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4 = 2*f. Suppose -f*l = -3 + 1. Suppose 39 = x - l. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 9:07 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 4*c + 2*c = 11, -4*c - 21 = 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 12. Let r(o) = o + 11. Let y be r(-8). Let a be -1 + (-5 + y - -5). Solve -4*u = a*b + 4, -4*b = 4*u + 2 + w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15, -31, -73, -153, -283?\n\"Answer: -2*j**3 - j**2 + j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*f = -2*c - 116*f + 49559, 5*c + 2*f = 123971. What are the prime factors of c?\nAnswer: 137, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/14, 2\/7, -4?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 2*k**2 + 11*k + 20. Let n be b(16). Let h = -6912 - n. Does 34 divide h\/(-63) + 6\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(64\/12))\/(168\/64).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x - 4*x)*(0 - 4 - 1)*(3 - 3 - 4)*(-3 - 6 + 3).\nAnswer: 360*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 14100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.725 minus -0.002?\nAnswer: 17.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1501*c - 35. Let p(k) = 1501*k + 42. Give 6*f(d) + 5*p(d).\nAnswer: -1501*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 11 = -2*s + 3, 4*f - 20 = -2*s. Suppose 5*d + 0*d - 165 = 0. Solve -d*n**3 + 4*n + 2*n**s + 63\/2*n**4 + 0 = 0.\nAnswer: -2\/7, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 1)*3 + 4. Let c(z) = 11*z**3 + z**2 + z - 2. Let w be c(d). Find the third derivative of i**2 + w*i**2 + i**2 + 0*i**2 + 2*i**4 wrt i.\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from {e: 1, g: 1, o: 1, b: 2, w: 1, t: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1805 times 0.3?\nAnswer: -541.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 188*j - 1248.\nAnswer: -4*(j + 8)*(j + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6\/17, 0.1 in descending order.\nAnswer: 3, 0.1, -6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times 213206.81?\nAnswer: -277168.853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423, 423, 421, 417, 411, 403, 393?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 5\/(-2))*-6. Suppose 30*s + 30 = 35*s. Sort s, h, 11 in decreasing order.\nAnswer: 11, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w**3*x**2 - 11*w**3*x + 2225*w**3 + 30*x wrt x?\nAnswer: -2*w**3*x - 11*w**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83348 is divided by 27773.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30587.3 + 0.0876?\nAnswer: 30587.3876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -676 * 62013.7\nAnswer: -41921261.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/15)\/((-4)\/(-1000)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2*j**(-6)*j*(j*j**(2\/29))\/j**(-4))**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 10:42 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 + 52. Suppose 27*i - z = 34*i. Sort i, -29, 0.\nAnswer: -29, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**2 - 6*s + 0 + s**3 - 1\/6*s**4. Let n be a(4). Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1 + sqrt(700))*4 - (4 + (-1 + sqrt(700) - sqrt(700))))**2.\nAnswer: -560*sqrt(7) + 11244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73\/3? (a) 3 (b) 10\/11 (c) 0.155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004255 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -19*v**2. Let x be (8\/3 + -3)*-21. Let u(f) = 4301 - x*f - 4301. Give p(u(c)).\nAnswer: -931*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 199194083 and 187.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -25 + 23 - 2*y - y**3 - y**3 - y**4. Let b(h) = 3*h**4 + 5*h**3 + 4*h + 5. Let p(k) = 5*a(k) + 2*b(k). What is the second derivative of p(w) wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*3)**2*5*6 - ((-4*sqrt(208))**2 - (sqrt(52)*1)**2).\nAnswer: 52884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*g - 261, -g - 91 = -4*i + 140. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-8)\/(-6) + 6 + 329\/(-42))*-6394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -4 (b) -23 (c) 38.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 38, 60, 76, 86?\n\"Answer: -3*c**2 + 37*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8175 and 77475.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6)*5\/(15\/(-18)). Suppose -5*h + 3*h - 30 = -b*m, 0 = m - h - 5. Solve 6*p - 2*d = 2*p - m, 3*d - 15 = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.024 from 564.7485.\nAnswer: 564.7245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-258)\/(-18) - 5998680\/420660\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.47 (b) -2165 (c) 1\/1853\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-13)\/((-104)\/16))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103810 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**3 - k**2. Let q be s(-1). Let j(h) = -h**3 - 7*h**2 + 9*h + 11. What is the units digit of j(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -313232 (base 4) in base 7?\nAnswer: -13253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582139 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21585 and 1729?\nAnswer: 23314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1895*v + 588 = 1846*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + w, 10*w = 9*w - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 9 - 11) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26.17 + -6.13. Let i = r + 32. Let u = -0.5 - -4.5. Which is the second smallest value? (a) -15 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 - -70. Let t be (-1)\/b*-6 + 13\/3. Solve -5*v + 0*y = 2*y + 12, -4*v - t = -3*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(2*-15).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -55d - -d637?\nAnswer: d0da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(4 + -4 + 1). Suppose v = -11*y + 4*y + 56. Let c be (-21)\/(-28) - (-2)\/y. Solve -2*b = -c + 9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1669, -1618, -1535, -1402, -1201, -914, -523?\n\"Answer: 3*m**3 - 2*m**2 + 36*m - 1706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10100 (base 2) to base 3\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11824119.\nAnswer: 3, 47, 27953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*-1 + sqrt(360) - sqrt(60)\/(sqrt(30)\/sqrt(5)))\/(sqrt(144)\/sqrt(2)) + 3)**2.\nAnswer: -sqrt(5) + 329\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38\/(-60) + 4*(-10)\/(-50). Let n(b) be the second derivative of 9*b + 0 - w*b**4 + 0*b**3 + 0*b**2. Let o(r) = -26*r. Give o(n(v)).\nAnswer: 52*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 763098 divided by -7?\nAnswer: -109014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -3)*38\/(-1995)*-21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/7933?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 399458371 a multiple of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 1. Let c(r) = -8*r + 5. Let k(o) = c(o) + 5*d(o). Let h(u) = u + 10. Let b(n) = n + 6. Let m(s) = -5*b(s) + 3*h(s). What is k(m(j))?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 961*h**2 + 418*h**2 - 711*h**2 in the form j*h**2 + f*h + n and give j.\nAnswer: 668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 7 + (-1 - -2). Let t = -5\/17 - -109\/255. What is the closest to 1\/4 in t, -3, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 22. Calculate the remainder when 35 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.103 + -46.897. Let v = s - -92. Let u = -31 + v. What is the closest to u in -1, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6861070 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-105)*20\/(-3))\/((-10602)\/(-5859))?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**4\/12 + 11*f**3\/3 + 21*f**2 + 2516*f. What is x(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223028903 to the nearest integer?\nAnswer: 14934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -3 - (-4 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 5. Let z be a(0). Let u be (-16)\/z + -1 - 8\/(-10). What is the third derivative of -u*w**6 + 33*w**2 - 51*w**2 + 15*w**6 + 25*w**6 wrt w?\nAnswer: 4440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 3. Let k be a(8). Sort k, -3, 2\/5 in ascending order.\nAnswer: k, -3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12001 (base 8) to base 12\nAnswer: -2b69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 4, 2, 1273, 1, -4 in descending order.\nAnswer: 1273, 4, 2, 1, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 218100 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63.8 or 3?\nAnswer: 63.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + z**3 - 4)*(-39 + 81 - 45 + 41*z).\nAnswer: 41*z**4 - 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 3082 (c) -973 (d) -2 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51801381187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 19*h**2 + 285*h + 6. Determine t(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45705?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 1, u: 1, b: 1, m: 1}. What is prob of sequence bu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4, 1\/5, -47, 6\/95?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 2010?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1325177544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2219178231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18016 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-5)\/10)\/(1\/(-6))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 = 2*v, 4*y + 2*v - 16 = -0. Suppose 0 = 4*s - 5*r + 16001, 4*r = -y*s - r - 16031. What are the prime factors of s\/(-20) - (-1)\/(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + o = -8828, -2*o + o = 3*n - 6614. Let a = n - 1566. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 2\/7 (b) 14 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 4*c - 4 = 0, 0 = -0*r - 3*r + 2*c + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19405 - -15504593\/799. Let r = t + -791\/3196. What is the fourth smallest value in -0.4, -2, -1.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1425\/83 or -18?\nAnswer: -1425\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 6*q + 10. Let j(i) = 16*i + 5. Let r be j(-5). Let p = 68 + r. Calculate d(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 155, 353\/24, -1, -2, 3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -3, -2\/41?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16106323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2. Let r be 55\/25 - (-3)\/(-15). Suppose 0 = 4*t + 2*o - r, -4*t + 2*o + 22 = -0*t. Let z(v) = -5*v - t*v + 3*v + 3*v. Determine l(z(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2274, -1500, -742, -6, 702, 1376?\nAnswer: 2010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9580 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-111)\/(-7) + (-8)\/(-56). What is the highest common divisor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k. Let v(s) = s**3 + 6*s**2 + 4*s + 6. Calculate the smallest common multiple of u(6) and v(-5).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -74662 (base 10) to base 11\nAnswer: -51105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u - 1. Let b(v) = 3*v - 1. Let p(h) = 3*b(h) - 4*n(h). Let c = 0 - 1. Let k = c + 2. Give p(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 4*y = -11*d + 22, 3*d + y = -2. Solve -4*u = 19 + d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -848 = 3*o + 4. Let a be o\/(-2) + 6 + -5. Let m = 220 - a. List the prime factors of m.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(684)*-6 + sqrt(684) + sqrt(684) + sqrt(684) + sqrt(684) + (-1*sqrt(684) + sqrt(684))*-2)**2 - ((sqrt(684) + 1)**2*-3 + 2).\nAnswer: 36*sqrt(19) + 45829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 29*l - 31. Calculate j(-5).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4306*x**2 + 21386*x + 726. Determine k(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.5 (c) 959 (d) -137 (e) 2\/9 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*x - 23, 3*p = p + 3*x + 6. Suppose -7*u + 42 = 4*f, 4*f + 0 = u + 26. Let h = -46 - -68. Sort p, h, -4, u in descending order.\nAnswer: h, u, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b + 6. Let j(s) = 9*s - 14. Let f(g) = 3*j(g) + 7*n(g). Let d(o) = 240*o**2. Determine f(d(v)).\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043 is divided by 326?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -48758, -48786, -48824, -48866, -48906, -48938, -48956, -48954?\n\"Answer: p**3 - 11*p**2 - 2*p - 48746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/6 (b) -2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 5*m - 201 = -q + 3*q, -3*m - 135 = -12*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 94. Let c = g + -43. Suppose -4*w = -2*m + 6, m - 12 = -3*m - c*w. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 213684 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 19*i**2 - 16*i + 9. Let y(c) = 56*c**2 - 43*c + 26. Let k(u) = -11*r(u) + 4*y(u). Suppose 3 = -2*q - 9. Is k(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2927856 divided by -6.\nAnswer: 487976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 28*v - 132 = 0. Let o = 20 - v. Suppose p + 17 = o. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 2919?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1852981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 341*y + 14245. Determine p(71).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3))**(-8))**(13\/3) assuming m is positive.\nAnswer: m**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3882*s - 3881*s - 4*o = 14, 2*s + 0*o - 14 = o for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1168, -2322, -3478, -4636, -5796, -6958?\n\"Answer: -x**2 - 1151*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.49886 or -1?\nAnswer: 3.49886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - a + 6, 5*a + 1367 = -2*k + 1397. Solve k = -2*s - 5*r + 22, -2*s + 4*r + r = 18 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 = -24. Suppose -4*a + 76 = -l, 4*a - 2*l = v*a - 108. Suppose 0 = -o - o + a. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 374 and 2402.\nAnswer: 449174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (9*70*24\/360)\/(0 + 3)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1574790, -1574791, -1574792, -1574793?\n\"Answer: -u - 1574789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16*(2 + 6\/(-4)). Suppose 5*h = -4 + 19. Let u = -2 + h. What is the highest common divisor of q and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-500)\/(-225)*(-7)\/((-448)\/24)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 757*t + 3028. Let j be p(-4). Let k(w) = w**3 - 2*w**2 + 4. Let i be k(3). Suppose -12 - i = 5*h. Which is the closest to j? (a) -40 (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90121 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -3*d + 4. Let o(q) = -q**3 + 3*q**2 + 4*q + 3. Let b be o(4). What is the tens digit of b*(4 + (0 - d))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 1)*(0 - 0). Suppose -3*n = -a, -3*a + n + 7 = -n. Suppose -5*c - j + 9 = f, a*j - 6*j - 3 = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2027589.\nAnswer: 3, 675863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g - 2. Let l be x(-4). Let d = l + 0. Let p = 31 + d. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -394 + 385. Which is greater: -88 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -860847.3+-0.1\nAnswer: -860847.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -s + s - 140 - 2*s + 126 in the form w*s + u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2960, 2955, 2950, 2945, 2940?\n\"Answer: -5*n + 2965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2338 or -6.11?\nAnswer: -2338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -8*j + 5*j, 2*c - 51 = -3*j. Solve m = -g - 5, 4*m + c = -7*g + 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**2. Let b be 16 + -12 + (0 - 2 - 0). Let r(j) be the second derivative of 0 - 1\/12*j**4 + j + 0*j**3 + 0*j**b. What is r(c(l))?\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1478*t. Let j(q) = -q. Give j(a(l)).\nAnswer: -1478*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 6*c**2 - 7*c + 2. Let p be q(7). Let b(l) = -3*l + 24. Let v be b(7). Suppose -p*k = -17 - v. Solve 2*y = 2*d, 5*d - 3*y + k = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78898848 and 160.\nAnswer: 394494240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 96189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*g + 5*g - 7*g)*(-4*g + g + 4*g) - 6*g**2 + 3*g**2 + g**2.\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44.5 - 40.5. What is the closest to -0.1 in a, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -2\/329793?\nAnswer: -2\/329793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2237ba7 - 3?\nAnswer: -2237baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r. Determine i(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 477, 936, 1393, 1848, 2301, 2752?\n\"Answer: -f**2 + 462*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*l**5*q**2 - 3*l**3*q**3 + 2*l*q**3 - 4*l*q + 3*l wrt l.\nAnswer: 580*l**3*q**2 - 18*l*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 26 = 3*k, 0 = -4*q - 5*k + 2*k - 38. Suppose 9*b - 2*b = -28. Let r be 0 + 0 + (b - -3). Put r, -4, q in increasing order.\nAnswer: q, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 6) to base 8.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*f + 5*u - 1, 0 = 4*f + u + 72. Let k(m) = -2*m + 4. Let p be k(-10). Let w = f + p. Solve r = -4*r + 2*t - 31, r - w*t = -20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13803923*d**2 - 1393864*d.\nAnswer: -27607846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**4\/24 + 3*a**3\/2 - 20*a**2. Determine r(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 26. Solve 3*g + 3 = b*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 705119*o**5 + 3248871*o**2 wrt o?\nAnswer: 42307140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82.5 + 81.5. Let n = 0.17 - 0.07. What is the closest to g in 0.2, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 278 = 4*w, -4*f + 3*w + 150 + 91 = 0. Let s = 185 - f. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 83570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 k when three letters picked without replacement from {k: 3, z: 5, f: 9, v: 2}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1925330 (base 10) to base 12\nAnswer: -78a242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-2))\/(-13 - 28\/(-7)). What is the third biggest value in l, 2, 0, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9065 - 8967.57. Let o = w - 97. Let m = 0.43000011 - o. What is m rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61.6 - -78. Let c = -16.4002957 + v. Round c to 5 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000150841036 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 6:43 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26c5 (base 14) in base 16?\nAnswer: 1ab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192590 is divided by 262?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -23937*s + 13. Let a(l) = -47873*l + 25. Let x(r) = -6*a(r) + 11*h(r). Let p be x(-3). What is p rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000211436 rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 4)*((23 - 9 - 6)*(w + w + 0*w) - w - w + 0*w).\nAnswer: 42*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**3 - p**3 + p**3)*(5 - 2 - 5) to the form b + o*p**2 + s*p**3 + u*p and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3714310*j*l**3 - j*l - 2*j - 4*l**3 - 5520450 wrt l.\nAnswer: 22285860*j*l - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*w - 7*w - 24642 + 24642 + 22*w.\nAnswer: 37*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k + 22*k + 916*k**2 - 13*k - 919*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 7\/116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237885 divided by 5.\nAnswer: 47577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 6*m**2 + 6*m - 4. Let r be k(-7). Suppose -4*v = -x, -55 - 2 = -4*x - r*v. Let a = 21 + -13. What is the smallest common multiple of a and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2928 - 2792 = -549*a - 1011 + 232 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 136, 1, -48, -3, -2 in decreasing order.\nAnswer: 136, 1, -2, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 6*r. Let n be -6 - (0\/1 - 1). Let l be w(n). Suppose 0 = -0*v + l*v - 125. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184654.\nAnswer: 2, 17, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 9 + 14*d**2 - 4 + 22 - 12*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154484.74 + -154485. Let r = 3 - 4. Put g, 3, r in decreasing order.\nAnswer: 3, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-6) - 8\/(96\/(-44)). Suppose d*h + 8 = 7*h. Let n = 0.1 - 0.6. Sort h, n, -0.052.\nAnswer: n, -0.052, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -34. Find the common denominator of 71\/32 and (2046\/880 - 1\/5) + n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69019 = 43*a - 23869. Let l = 1829 + a. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 7:15 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8467073 and 2777?\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 + 7 - 7 + j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y. Let f be u(2). Let d = -16743 - -16750. Put 0, f, -1, d in descending order.\nAnswer: d, f, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -602 (base 12) in base 6?\nAnswer: -4002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-3 - (3 - -2)). Let x be (-3)\/(n\/(-672))*10. What is x rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {m: 8, a: 1, i: 2, b: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 389*t + 1209. Let f be q(-3). Solve f = -330*y + 337*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 - 151 = -5*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46560 is divided by 2328?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 579*v - 5 = 584*v, -o - 5*v = -22 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5021.6 times -4\nAnswer: 20086.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 257522966540.\nAnswer: 257522966522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + d = -2, 0 = 2*s + d - 4*d + 8. Let r(u) = 3*u**3 + 2*u - 1. Let w be r(1). Find the first derivative of w*q**2 + 9 + 3 + 0*q**s + 7*q**2 wrt q.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*n - 323*n = 200*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28, -0.5, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4198 (b) 52\/9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 1:40 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/4)\/w**(6\/5)*w\/(w\/(w**1*w)*w)*w**(-1\/5)*w assuming w is positive.\nAnswer: w**(7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -72882*t + 510178. What is z(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 7*v + 11*v)*(4 - 6 + 0) + (-4 + 0 - 1)*(v - 4*v + 4*v).\nAnswer: -31*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - j**2 + 2)*(2 + 0 - 5) - 113*j + 46*j + j**2 + 51*j.\nAnswer: 4*j**2 - 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 193694 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*t = 2*j + 1189, -2*j + t + 1185 = 0. Let c = 602 - j. Solve 0 = -5*z - c, 3*l - z + 2 = -5*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(-3 + 1*sqrt(500) + -2*sqrt(500)*-6) + 2.\nAnswer: -2 + 130*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*i - 42. Suppose 4*c = i + 169. Let v(u) = 4*u**2 - 9*u - 8. What is the remainder when v(8) is divided by c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35\/87 + -2\/29. Which is the closest to p? (a) 12 (b) -0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5484566 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 4, 506, -3 in decreasing order.\nAnswer: 506, 5, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000037839446 to six dps.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -12*t + 584. Do t and 74 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 8*p - 191. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 3*h - 10. Suppose 0 = 5*w + 2*w + 56. Let i be q(w). Solve 5*o = 4*k - 7*k + 6, i = -5*k + 5*o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44946 = -1922*g - 4884*g + 201484 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**8\/840 + q**4\/6 + 5*q**3\/6 + 2*q**2. Let z(b) be the first derivative of h(b). Find the first derivative of z(i) wrt i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 + 81. Let g be p*4 + 4 + (-10 - -4). Let t(z) = z**2 - 11*z + 24. What is the hundreds digit of t(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from -2761.\nAnswer: -2755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2522 (base 8) in base 10?\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 6*k + 11. Let y be s(-7). Suppose -y = -r - 4. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -13\/2*n**2 - 10 - 5*n. Calculate the remainder when 135 is divided by q(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1418 + -1406. What is the remainder when 66 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*j + 13, -4*j - j + 5 = 5*h. Let l = -23 + 26. Put h, 0, 45, l in increasing order.\nAnswer: h, 0, l, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 4\/76399013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/19)\/(((-777)\/(-28))\/(-37))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 13*m + 23. Let v be p(-12). Let z(s) = 6*s + 20. Let w(l) = -l - 4. What is v*w(r) + 2*z(r)?\nAnswer: r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42836, -85672, -128508, -171344, -214180?\nAnswer: -257016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -13. Suppose c = -y*x + 199, -4*x = x + 4*c - 505. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**(-2\/17)*k)\/k))\/(k*(((k*(k*k**(-10\/9))\/k)\/k*k*k)\/k)\/k*k) assuming k is positive.\nAnswer: k**(35\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18328113.\nAnswer: 3, 353, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5729328411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115415 - 32940 = -828*p - 24155 for p.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -5*a - 5*p, a - 14 = -5*p + 18. Is a a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a - 5. Suppose 0 = a*u - 23 + 8. Suppose 4*j = -u*w + 384, -4*w + 537 = 3*j - 6*j. What is the greatest common factor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.6 - -2.1. What is the second smallest value in -2\/13, 5, z?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 208534989?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 - 2*l**2 + 2*l**2 + (0 + 0 - l)*(6*l**2 - 3*l**2 - l**2) + 1 - 1 - l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -361740 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7.78 times 21625\nAnswer: 168242.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 h when four letters picked without replacement from {u: 4, h: 8, a: 1}?\nAnswer: 224\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9*w**3 - 6*w**2 - w - 44. Let g(h) = 19*h**3 - 13*h**2 - 2*h - 87. What is -6*g(u) + 13*y(u)?\nAnswer: 3*u**3 - u - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, 48 in decreasing order.\nAnswer: 48, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -76141 (base 9) to base 12\nAnswer: -25217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1110 + -750. Suppose 9*t - t - s = 0. Suppose 0 = -3*c + 8*p - 4*p + 150, -3*p = -c + t. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 0*f**5 + 9*f**2 + 0*f**4 + 0 + 24*f + 0*f**3 + 7\/15*f**6. What is the first derivative of n(g) wrt g?\nAnswer: 56*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/9240*-21)\/(3\/(-10))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2 - 10376*d - 10374 = 0.\nAnswer: -5187, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (1 - 1) - -35. Let h be ((-44)\/(-12) - 1)*(-9 - -18). What is the greatest common factor of z and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*u - 26 = i - 116*u, 0 = -4*i - 2*u - 16. Sort -5, -46, 2, i, 0.\nAnswer: -46, i, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 1, c: 1, r: 1, d: 1, o: 2}. What is prob of picking 1 c and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 3 - (31 + -88 - -7).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/24259484 and -73\/2356.\nAnswer: 460930196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 16*r = 72220 + 26330. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k - 38. Let n be p(21). Which is the nearest to -0.1? (a) 0.3 (b) n (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (155\/25 + -7)\/((-2)\/(-20)). Let c = -0.3 + 0.3. Put k, -5, c in decreasing order.\nAnswer: c, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 12*a**3 + 4*a**2 - 5*a**2 + 9*a**3 in the form o*a**2 + b*a**3 + h*a + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 at least 184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1026 + 1?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 7. Let h be y(3). Let d be (492\/(-15))\/(h\/(-75)). List the prime factors of d\/9*(-9)\/(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u + 6*u)*(31 - 1 + 3)*(-116 - 18*u + 116).\nAnswer: -4158*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 953532 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 107 in 365, -4, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 take away -1195228?\nAnswer: 1195766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from {a: 1, b: 2, y: 2, i: 1, p: 2, t: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.6750226 months?\nAnswer: 0.0022291855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4835715 and -2500146.\nAnswer: 2335569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 7*f**2 - 3*f - 12. Calculate the remainder when j(5) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((32 - (14 + -6)) + -2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(7\/9))\/a**14*(a**(-14\/11)*a)\/a**(-14\/3) assuming a is positive.\nAnswer: a**(-775\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + 59\/(-4))*12*(-6)\/(-783).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 6*x - 333. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 + 209 - (4 + -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 at most 97.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l - 15. Let v be y(11). Suppose 4*s - 20 = -8. Suppose -v + 1 = -s*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from eeeeekkat.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-1\/3)))**(-3\/10)*f**(-2\/3)*f*f\/((f*f**(5\/7)\/f*f)\/f*f) assuming f is positive.\nAnswer: f**(-59\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -393*d + 1174. Give x(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-2)*(3 - 1). Let m(k) = 5 + k + 4*k**3 - 2*k - 3*k**2 - 3*k**3 - k**2. Let g be m(4). Calculate the highest common divisor of g and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 16. Suppose 2*t - 2*p - 14 = 0, -w*t - p + 6 + 11 = 0. Let n(d) = d**3 - 5*d**2 + 3*d - 11. Is n(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2756, 2824, 2892, 2960?\nAnswer: 3028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-15) + 2\/(-9) + 167\/835\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(0 - 3\/(-6)). Let i be -3 - 0 - (q + -3). Let f be 1*2 + (-2)\/i. Put f, 5, 2 in ascending order.\nAnswer: 2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6102, -6171, -6294, -6489, -6774?\n\"Answer: -3*m**3 - 9*m**2 - 21*m - 6069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - 1*(sqrt(209) + sqrt(209) + sqrt(209)*-1) - (-3*-2*sqrt(209) + sqrt(209)))\/(sqrt(66)\/(sqrt(24) - sqrt(24)*-1)).\nAnswer: -28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -1\/3 (b) 1.6 (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01986 + 3.98014. Which is the fifth biggest value? (a) 2\/3 (b) 4.1 (c) f (d) 5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*o + 251. Let z be (10 - 5)*6\/10. Suppose -65 = -z*b + 5*w, -5*w = b - w + 1. Calculate the remainder when o is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**6\/30 + f**4\/12 + f**3 - 36*f**2. List the prime factors of v(3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 6 - 18\/(4 - (-57)\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**7\/1260 - q**6\/18 - 91*q**5\/60 - 169*q**4\/9 - 2197*q**3\/36 - 113*q**2. Find v, given that s(v) = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207064 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 16721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/14 and ((-110)\/60)\/(2 - (-68)\/(-30)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - 2*w)*(-5 + 0 + 9*w + 3).\nAnswer: -18*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150720 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 5*o**4\/3 + 5*o**2 + 22*o - 14. Let z(i) = i**2 + 1. Calculate 2*r(t) - 20*z(t).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 1054*s - 12513. What is p(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -741*j**3*m*o**3 - 2*j**3*m - 27*j**2*o**5 + j**2*o - 128*j*m*o + 7*o wrt o?\nAnswer: -4446*j**3*m*o - 540*j**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16 + 1088\/(-80))\/((-238)\/85))\/((-1)\/(-7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {s: 7, c: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3}. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -805*j + 805*j + 5*j**6 + 18*j**2 wrt j?\nAnswer: 600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/5 - 684788*p\/5.\nAnswer: -4*p*(p + 171197)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7982*n - 1842. Let x(o) = -4*o - 1. What is -k(s) + 1842*x(s)?\nAnswer: 614*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16339?\nAnswer: 16339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -16*h + 65. What is the greatest common divisor of h and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152371\/20 + 7617. Find the common denominator of 71\/10 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18675 + 18920 = 49*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18265 and 1105?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1376098 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 + -369 - (-1 - -38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**6\/50 + 21*t**5\/100 - 27*t**4\/20 + 29*t**3\/10 - 3*t**2 + 63*t. Determine f so that k(f) = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19495 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from hnennewnldndeene?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.26 in -1, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109900 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 13092 and 2961.\nAnswer: 16053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 159093 + -159093.3. Let i = -8.2 + 6. Let y = i - -2. Which is the smallest value? (a) 1 (b) -0.5 (c) k (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.051? (a) -15\/2 (b) 5 (c) 11 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by (14\/10 + -2)*-5 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-4) - -5)*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/1941 and -43\/74.\nAnswer: 143634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421016085.\nAnswer: 3, 5, 7, 41, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5373, -5311, -5249, -5187?\nAnswer: -5125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4128b6b - 0?\nAnswer: -4128b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 121749*m + 3411324.\nAnswer: -3*(m - 40611)*(m + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1582, 3133, 4642, 6091, 7462?\nAnswer: 8737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -13. Suppose -98 - 87 = -f*o. Let d = o - 32. Solve -4*j - d*w + 24 = 0, -5*j - 3*w + 2 = -15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 c, and 1 t when three letters picked without replacement from {p: 1, a: 2, g: 2, c: 3, t: 6, y: 1}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4651, 9308, 13965, 18622, 23279, 27936?\nAnswer: 32593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y = -16*y - 40. Let g(j) = -4*j - 2. Let o(n) = -n - 1. Let v(h) = g(h) - 3*o(h). Let q(a) = 1. Determine y*q(f) - 5*v(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432147?\nAnswer: 1432147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from {k: 2, n: 1, x: 1, a: 1, b: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1298 and 472.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*r = -4, -r = -0 - 1. Suppose 0 = -2*j + n - 28, 3*n = 5*j + 7*n + 44. Let h be (6*-1)\/(j\/8). Solve a = q + h - 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 42*t**2 + 2. What is the remainder when w(1) is divided by (-3)\/(36\/20 - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 18*c - 33*c + 21*c)*(c**2 - c**2 + 2*c**2) + 0*c - 3*c**3 + 0*c.\nAnswer: 9*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14220403?\nAnswer: 14220403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -762?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x - x**2)*(-2 - 2*x + 2) + (x - 2*x**3 - x)*(8 + 6 - 1).\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -8 - (13 + -15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 11. Which is the biggest value? (a) 4\/5 (b) n (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 189.1628709343 - 0.1628826343. Let h = 189 - i. Round h to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - h - 24, -3*m + 5*h - 13 = -2*m. Suppose 0 = 4*a - 0*a - 48. Calculate the remainder when a is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-14))\/(15\/(-42)). Let c = -3\/10 + i. Determine g, given that -2*g**3 - c*g**4 + 0 - 5\/2*g**2 - g = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -38351*k - 230041. Give n(-6).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 25 + (-24)\/11 + 6\/33?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 43 = o, 4*h - 4*o + 474 = 454 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 41 = 9. Let q be v\/(-4) + -3 - (-3)\/(-2). Let c(z) = z**2 - 10*z + 18. Let g be c(q). Solve 0 = 5*d + g*r - 25, -1 = -2*d + r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 1 - 19. Let h be q\/(9\/2) - -292. Suppose 5*g - h = -f - 4*f, -2*g = 4*f - 240. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 540128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129 - -189. Calculate the least common multiple of 44 and x.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = 4*p - 50 - 104 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17096898 and 98.\nAnswer: 119678286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557417 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: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 2353*z + 63757. What is y(-27)?\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/((y**(-15)*y)\/y))\/y))\/((y\/y**(-3\/8))\/y)*y**(11\/7)\/y**(-13\/7) assuming y is positive.\nAnswer: y**(-613\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1284247 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, j: 3, r: 1}. Give prob of sequence wwwr.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 greater than 0.087284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 2:21 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 940 and 12?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-140)\/(-3) + 10\/(-15). Suppose -4*g = -42 - f. Calculate the highest common factor of 55 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 23.3. Let v be ((-55)\/(-25) + -3)\/(38\/(-5)). Which is the biggest value? (a) u (b) v (c) -1\/44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*n - 3*v - 11, 0 = -2*n + 4*v + 6. Let g(f) = -2*f + n*f - 2 - 3*f + f. What is g(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by (-1 - (-40)\/16)*224\/12.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333569, 667150, 1000751, 1334384, 1668061?\nAnswer: 2001794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(891) + -4)**2.\nAnswer: -72*sqrt(11) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/2 (b) 0.3 (c) -2\/113 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.96 + 0.04. Let f be (-9)\/(-35) + 14\/98. Let w = -1.022 + 0.022. What is the smallest value in w, i, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 3 = -2*a, 5*q - 2*a + 231 = 224 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 35, 69, 79, 59, 3, -95, -241?\n\"Answer: -n**3 - 6*n**2 + 59*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16638 + 2840978936.\nAnswer: 2840978935.83362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h + 3 + 3*h - 6 + 2. Let i be u(-1). Suppose -i*p = -p + 4. Which is the closest to -1? (a) -0.4 (b) -2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/12))\/i*i**(-8)*i*i)\/(i**(-1\/5)\/(i*i**(1\/3))) assuming i is positive.\nAnswer: i**(-263\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3433 is divided by 103?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6 + 165*b + 10 + 4 - 21. Is n(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d - 3. Let r be d + (-6)\/3 + 2. Let f be (-48)\/(-18) - (-2)\/r. Solve 10 = 5*m - 0*m - 5*k, -4*m + f*k = -2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2 + 14. Let b(d) be the first derivative of 4*d**3\/3 - 2*d**2 - 4*d - 4. What are the prime factors of b(m)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12348 + 4642 = -233*g - 6308 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54674 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 6*r + 2. Let x be s(-6). Suppose a = -x*m + 2, -3*m = -a - 3 + 5. Is 36 + 2 - (1 - m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000279279041 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27103 = 62*n - 67775. Is 24 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykpf when four letters picked without replacement from pfffkgfpfpffkffpy?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -403*b**3 - 921 + 1856 - 83*b - 935 - 2*b + (-b + 2*b + 0*b)*(-b**2 + 4 - 4).\nAnswer: -404*b**3 - 85*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -16 + 3 + -1 + -1. Let v(t) = t**2 - 7*t. Let l be v(7). Let o = l - c. Solve r + 2*r = o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = 7276 - 20060. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.166, -101\/2, -3, 66\/7, 0.4, -2?\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 1. Suppose -3*g - 2*g = 0. Let y be q(g). Is (y - -47) + -2 + 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.03 + -34.33. Which is the biggest value? (a) 4\/9 (b) r (c) 2\/3 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 268 and 2538496.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 95969, 96004, 96041, 96080, 96121, 96164?\n\"Answer: a**2 + 32*a + 95936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*l*y**3 + 174*l*y**2 - l*y + 1097*l + 3322850*y**3 + 2*y**2 wrt l?\nAnswer: 3*y**3 + 174*y**2 - y + 1097","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 224563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/5 + 9*r**2\/5 - 14*r\/5.\nAnswer: -r*(r - 7)*(r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*x + 9*x**2 - 9*x**2 + 2*x**2.\nAnswer: 2*x*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**4\/11 + 477*y**3 + 57803*y**2\/11 + 184005*y\/11 + 11950 = 0.\nAnswer: -5, -1, 5258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42154499?\nAnswer: 42154499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -255246816*x**3 - 1336949570*x?\nAnswer: -1531480896*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 11. Let i(h) = -5*h + 6. Suppose 3*w - 77 - 1 = 0. Let l(q) = -30 + 55 + q - w. Calculate m*l(v) - i(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/12 - 3*x**3\/2 - 3*x**2 + 2*x. Let l be a(9). List the prime factors of l*(-3 + 4\/2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 90*n. Let u(q) = -q**2 - 52*q + 167. Let b be u(-55). Let c(m) = -13*m. What is b*g(r) + 15*c(r)?\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 78143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1619411 and 1172.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4532237 centuries in decades?\nAnswer: 4.532237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27925\/6 + -4635. Calculate the common denominator of -181\/30 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 11:38 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 3. What is the tens digit of z(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 96, 142, 188, 234, 280?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 492 = 11*a + 2*q, -3 = -q. Let i(w) = -2*w + 27. Let p be (2\/6*0)\/2. Let j be i(p). Calculate the highest common divisor of a and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 22*w**2 + 60*w - 13. Let l(o) = -11*o**2 - 29*o + 6. Give 6*c(s) + 13*l(s).\nAnswer: -11*s**2 - 17*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + sqrt(756)*-2 + sqrt(21))\/(-3*sqrt(175))*-4.\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 7. Suppose -13 + 28 = -5*s. Let z(g) = -2*g**2 - 6. Determine s*z(a) - 2*x(a).\nAnswer: 2*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10624127, -10624090, -10624053, -10624016, -10623979, -10623942?\n\"Answer: 37*w - 10624164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 19*x + 1. Let c(j) = -16*j + 735. What is c(o) + s(o)?\nAnswer: 3*o + 736","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from oooocoooco.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15015 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -55, -60, -65?\n\"Answer: -5*b - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 250613781?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 2, u: 1, p: 1, h: 2, o: 1}. Give prob of sequence hko.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 8*j = 4. Let y(m) = -2*m**3 - m**2 - 2*m - 1. Let k be y(j). Let v = -657 + 659. What is the greatest common divisor of v and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9652, -10082, -10504, -10918, -11324, -11722?\n\"Answer: 4*u**2 - 442*u - 9214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4314986 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, 1\/100, 44, 2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17260?\nAnswer: 2, 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*(-2*sqrt(125)*1 + 2 + (sqrt(125) - (-1*sqrt(125))**2) + 2)*-4)*6.\nAnswer: 120*sqrt(5) + 2928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*q**2 - 69*q**3 - 16*q**4 + 56*q**2 + 15*q**4 to the form p*q + s*q**3 + a + v*q**2 + f*q**4 and give s.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22*3\/(-84)*3\/(-33)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = r - 3*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d + 4. Determine z(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15840 + -15845. Put 4, 1, o, -551 in descending order.\nAnswer: 4, 1, o, -551","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 10*t + 352. What is the hundreds digit of x(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -169, -336, -503, -670, -837?\n\"Answer: -167*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21960048 a multiple of 398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 27488*i**2 - 27*i + 92. Is b(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 360 - 193. Let h(a) = 11*a + 3. Let q(w) = 1. Let d(c) = h(c) - 5*q(c). What is the remainder when t is divided by d(4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 10*k**2 + 2*k + 12. Determine s(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*k = -122*k - 1770 - 1601 + 3039 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - a - 36 = 0, 9*o = 14*o - 2*a - 37. Sort o, 0, -1 in descending order.\nAnswer: o, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 5:13 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2398 + 7811. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.771 - -0.471. Let h = 3 - 3.5. Which is the nearest to 4\/5? (a) o (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122022102000221 (base 3) to base 10.\nAnswer: -9200005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2. Let r(l) = 2*l**3 - 8*l**2 + 5*l + 2. Suppose 124 - 130 = -3*c, 2*c = 5*w + 24. Determine w*f(j) + r(j).\nAnswer: 2*j**3 - 4*j**2 + 5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -0.051.\nAnswer: -4.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 162 - 146 = 0. Suppose -2*y + 1239 = -115. Let l = y - 34526\/51. What is the nearest to h in -5, l, -1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - -649?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 12*x**2 + 9*x - 2. Determine d(-4).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.4 - 0. Let t = -19.4 + m. Let p = 17.0000076 + t. Round p to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-115 - -77 - -41) + -1 + 1 + 12\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + ((-6)\/39 - 72\/39).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*sqrt(704) - sqrt(704))**2*2*2.\nAnswer: -384*sqrt(11) + 25360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2625 + -1010. What is the highest common factor of l and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -1636.\nAnswer: -1635.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 19. Let h(p) be the second derivative of 0 + 3\/2*p**2 + i*p + 1\/3*p**3. What is the first derivative of h(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1302 - y**2 + 224 - 10 + 1380 as a*y + r*y**2 + s and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61383.\nAnswer: 3, 7, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 + 47. Let u = -34 - k. Calculate the remainder when u is divided by -6*1\/(-1)*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900)*-2*-1 - (sqrt(190)\/(-2*sqrt(10) - sqrt(10)) - (sqrt(76)*-1)**2).\nAnswer: 76 + 61*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2 - 3*x - 3. Let f be p(3). Let y = f + -12. Solve y = 2*z + 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14746 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 585, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -184*i + 3894. Let z be g(21). What is the greatest common factor of 190 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39788*k - 452669 - 3327191 for k.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 6:26 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/4)\/(4305\/(-252) - -17). Let r(n) = -n**2 - 28*n + 56. What is r(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9297 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s - 2*l - 8 = 0, 2*l - 8 = -5*s. Let q(m) = -2 + 6*m**2 + 1 + 3*m + s*m**2. Is q(2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 14 = 4*l - 5*h, h - 4 = 0. Solve 0*b = 2*k - b - 2, -l*k + 3*b = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 383484.1ml to litres.\nAnswer: 383.4841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0.04, -2\/13, 0.07, -5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11233866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 427, 856, 1283, 1708?\nAnswer: 2131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 + 215. Let w = 88 - t. Which is greater: -6 or w?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 28*m + 269. Calculate d(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17036)\/(-38331)*162\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*u + 19*u - 7*u**3)*(-5*u + 3*u + 0*u)*(4*u - 3*u - 3*u).\nAnswer: -28*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/((-15)\/960). Which is smaller: c or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 - -832?\nAnswer: 831.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2075229.\nAnswer: 3, 13, 17737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*y - 1680 = 58*y. Calculate the highest common divisor of 180 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 650248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 44562, 44781, 45000, 45219, 45438, 45657?\n\"Answer: 219*l + 44343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 295 - 293. Let p(z) be the first derivative of -3\/4*z**4 + 0*z**v - 12\/5*z**5 + 0*z + 3 + 0*z**3 - 2*z**6. Factor p(n).\nAnswer: -3*n**3*(2*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200413 is divided by 409.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/60 - (-3)\/(-45)*(0 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002503948 rounded to six dps?\nAnswer: 0.002504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 207199 and 46?\nAnswer: 207153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -29778 divided by 2?\nAnswer: -14889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*v - 551*v - 462 = -256*v for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48070 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + m - 30 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 317, 636, 955?\n\"Answer: 319*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 4. Suppose -k + 5*u = -21, -2*u = 5*k - c - 143. What is the remainder when 61 is divided by k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 89. Suppose -p + 7 = -0*p - q, -g = -4*p + 2*q. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2820 and 2820?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3432 + 3431.5. What is the nearest to -0.5 in 1, -2\/3, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**2 + 70*j - 17160 = 0 for j.\nAnswer: -66, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 3. Let g be z(6). Find the third derivative of g*b**2 - 3*b**4 - 5*b**2 - 4*b**2 - 3*b**4 wrt b.\nAnswer: -144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 + 0*x - 2*x + 0*x)*(13 - 3 + 5) as p + h*x**2 + q*x and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -497000 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-629)\/(-2368)*16)\/(2\/(-4)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agxnxggxxgxggggxxxx. Give prob of sequence an.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08035543 to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 17. Let t(r) = -7*r - 9. Let h(q) = -3*q - 5. What is i*h(b) - 4*t(b)?\nAnswer: 7*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/9)*t)**(2\/91)\/(t**(-1\/15)\/((t*t*t**(-2\/11))\/t)) assuming t is positive.\nAnswer: t**(41948\/45045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and 2.26 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -799387*o**3 - 1141445?\nAnswer: -2398161*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*n = 2*d + 23, 5*n = d - 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8466342*b*n - 4597319*b wrt n?\nAnswer: -8466342*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**7\/1260 + k**4\/8 - 2*k**2. Let m(n) be the second derivative of o(n). Let i(w) = -2*w + 32 - 14 - 18. Calculate i(m(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = -5. Let v(h) = h - 1. Let y(m) = -m - 1. Let u(o) = -v(o) - 2*y(o). Let d be u(3). Calculate the greatest common factor of d and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001021107 to seven dps.\nAnswer: -0.0001021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1677 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28514 - -28514. What is the nearest to m in 2, -2\/75, 1\/7?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r + 3286. Let x(o) = -o + 19. Give -w(b) - 6*x(b).\nAnswer: 2*b - 3400","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 620909813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1565528849 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - c**2 + 3 + (1 + 0 - 3)*(-3*c**2 + 0*c**2 + 4*c**2))*(44 + 18*c**2 - 44).\nAnswer: -54*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**2 + 4 + 7*b + 3*b**2 + 2*b - b**3 + 0. Calculate the smallest common multiple of g(8) and (0 + -1)\/((-11)\/77).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1104*j**2 + 35 - 35 - 1142*j**2.\nAnswer: -38*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 42. Let n = 25 - j. Let p be (-93)\/(-18) - (-2)\/n. Sort 1, p, -4.\nAnswer: -4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 53 = -37*a + 310 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33035 * 83.\nAnswer: 2741905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-19) - 1\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 1:38 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**4\/5 + 35488*i**3\/5 + 7*i**2\/5 - 49682*i - 212928\/5 = 0.\nAnswer: -2, -1, 3, 35488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 + 0.1?\nAnswer: -65.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 20, 3\/5, 1 in ascending order.\nAnswer: 3\/5, 1, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from {b: 1, j: 2, n: 1, i: 6, e: 5, o: 1}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7941.887 millilitres in litres?\nAnswer: 7.941887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7)*c*c\/(c**(2\/9)*c*c*c)*c)\/(c*c**(2\/3))**(-6) assuming c is positive.\nAnswer: c**(598\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 6*w**2 + 9*w - 7. Let r be x(7). Let s(c) = 0 - 6 + 3 - r*c + 2. Calculate s(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4 + 2832*r**3 + 58590*r**2 = 0.\nAnswer: -1395, -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8*x**18\/x)\/((x**24*x)\/x)**(2\/55) assuming x is positive.\nAnswer: x**(1327\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 - -83. Let j be 2 + (4 - (-14)\/s). Solve j*t - 30 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 40. Suppose 0 = 11*g + 5*g - 48. Calculate the lowest common multiple of g and a(13).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151347207 to the nearest integer?\nAnswer: 12302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 43 - 161. Is (m\/5)\/((-40)\/100) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -57*p**3 + 17*p**2. Let f(t) = -7*t**3 + 2*t**2. Give 51*f(m) - 6*g(m).\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.5, 8\/1597 in increasing order.\nAnswer: -0.5, 8\/1597, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 12*y**3 - 46*y**2 + 42*y + 22. Let m(w) = -w**3 - w + 1. Let b(r) = -l(r) - 2*m(r). Let b(k) = 0. What is k?\nAnswer: -2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5922623 by 4.\nAnswer: 5922623\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*-3*4\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 23. Suppose 0 = 3*h - f - 27. Calculate the remainder when 45 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n. Let t(u) = 322744*u**2. Determine t(c(y)).\nAnswer: 20655616*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 1, 239923, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102752.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m**3 + 2*m**2 - 3*m - 2. Let i(k) be the third derivative of -k**6\/10 - k**5\/12 + 7*k**4\/24 + 5*k**3\/6 - 450*k**2. Calculate -5*f(s) - 2*i(s).\nAnswer: -6*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5c6328 (base 15) to base 7\nAnswer: 52420601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -987, -1795, -3141, -5025, -7447?\nAnswer: -10407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -0.5, 4, 13.2673?\nAnswer: 13.2673","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (-3*sqrt(192))**2*-3) + 5 - ((sqrt(192)*-2*5)**2 + (sqrt(192) - (sqrt(192) + 1 + 4))).\nAnswer: -14006 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 59 = 20*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3621 and 5763.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**4 - 25*o**3 - 15*o**2 + 25*o + 20 = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108.1 + -9.1. Let d = -99.00000172 + r. What is d rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 - 25211801 + 25211801 - 8*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -11*i**5\/20 - i**4\/12 - i**3\/2 - i**2 - 5*i. What is the least common multiple of 4 and g(-1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-5))\/(111\/74*(-4)\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -846*k + 3430. Determine m(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6885 + 0.3115. What is the closest to -1 in -2, 2\/13, 3, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 140\/(-18)*-6*54\/45. What is the greatest common factor of 868 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1535815741.\nAnswer: 67, 22922623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8255621 to 3 decimal places.\nAnswer: 0.826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 261315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + 29. Suppose 19*b - 45 = 16*b. What is the remainder when l is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 3664297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 43 = 5*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*s - p + 39, 9 = s + p. Solve -4*g + 2 = s, 0 = -2*c - 4*g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6 + (-12200)\/1200)*4\/10?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 247835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 7*l**2 - 12*l - 7. Let m(a) = -8*a**2 - 2*a - 2. Let p be m(-1). Give f(p).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203.5 * 7.7\nAnswer: 1566.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 296500989 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 342610, 342621, 342632, 342643?\n\"Answer: 11*z + 342599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85906712*z**3 - 3*z**2 - 336820696.\nAnswer: 257720136*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 = -1. Suppose -2*t = -2, -5*o - 2*t = -2*o + n. Suppose 2*q - 1 = 1. Sort -0.3, q, o, -0.2.\nAnswer: o, -0.3, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -729 + 734. Suppose -k = -12*u + 10*u - 64, -71 = -k - l*u. What is the least common multiple of 121 and k?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 131, 3\/7, -9, 55\/4, 3\/4, 7 in increasing order.\nAnswer: -9, -2, 3\/7, 3\/4, 7, 55\/4, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23640626 is divided by 5988?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 233*r**2 - 4469*r - 315. What is i(-21)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12)\/(-4*10\/120)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 279, 261, 247, 237, 231, 229, 231?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 51*b**2 - 31*b - 5. Let o(s) = 17*s**2 - 10*s - 2. Let l(m) = 7*o(m) - 2*r(m). Let u(f) = 4*f**2 - 2*f - 1. What is -2*l(j) + 9*u(j)?\nAnswer: 2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 3*i = -2*m + 259, 5*m - 656 = -4*i. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfzzzvfzvzzffv. Give prob of picking 2 v.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 24 = 11*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14438577059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n**2 - n + 10. Let a be f(0). Solve 2*x = -4*c - a, c + 4*c + 14 = -4*x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14619 is divided by 3635.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 11:16 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 3 - 14\/(-2). Solve 10 = -0*p + k*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11280 and -4792562124.\nAnswer: -4792550844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = 6*v. Let q be 6\/(-36) - (v + (-86)\/12). Suppose -2 = 4*a + o, q = -6*o + 3*o. Do a and -2\/35 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 285487?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/47704276 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-10)\/(-5)*57\/(-19)*35\/(-15)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*m + 48*m = -g, -4 = 5*m + 3*g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 1:37 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/71 (b) -4 (c) 0 (d) 11 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g + 15. Let s = -480 + 483. Let w(y) = -3*y**2 + 23*y - 26*y + s*y. Give w(n(i)).\nAnswer: -27*i**2 + 270*i - 675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from caaaaujl?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12418998\/55 - 225789. Let x = -114\/11 + c. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**4 - 107233235*f**3*q**3 - 214433405*f**2*q**3 wrt f.\nAnswer: -24*f - 643399410*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + 27*t - 43. Let g be n(11). Suppose 0 = 2*w - q + 41, -4*w - 6 = 4*q + 70. Let s be 18\/(-12)*w\/6. Solve -s*d = -2*d + g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26471, 26452, 26437, 26426, 26419?\n\"Answer: 2*a**2 - 25*a + 26494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/((sqrt(363) - 2*sqrt(363)) + sqrt(3)).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5 + 1778*d**4\/11 - 6386*d**3\/11 - 6698*d**2\/11 + 29496*d\/11 + 504 = 0?\nAnswer: -2, -2\/11, 3, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 4*w**2 + 3*w + 6. Determine t(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -73 + 1?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 257222248 to the power of 1\/3, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l - 476*l**2 - 5201*l**3 - 970*l**5 + 5201*l**3 wrt l.\nAnswer: -58200*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*c = -2. Suppose -a - c*a + 1071 = 0. Let z = -236 + a. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*s + 2*c, -73*s + 74*s + 2*c - 4 = 0. Solve s*y = 4*r, 5*r - 2 = 4*y + 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21928 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222052?\nAnswer: 2, 43, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j = -v - 17*j + 7, 0 = -6*v + 2*j + 14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.19, 0.4, -3\/7, -4\/5?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -0*r - r, -g + r = 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/4)\/(16\/(-64)). Suppose -35*q + 30*q = -k. What is the closest to 2 in 6, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 7:31 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/20*5\/(10\/12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*o = 3*p + 4, -3*p + 11 = -4*o. What is the third derivative of -4*d**3 + 6*d**3 + 1 - p - d**2 wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142048?\nAnswer: 2, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133143 is divided by 597?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4\/7 + 775520*k**3\/7 + 37589454400*k**2\/7.\nAnswer: 4*k**2*(k + 96940)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 12 = 5*r + 3, 21 = 2*r - 5*l. Is 11 a factor of r*(-12 - (0 + -1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -5*b - 4*f, 3*b - 16 = 4*b + 2*f. Is 20 a factor of (306\/(-12))\/(9\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 s when four letters picked without replacement from sxxxxs.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17713 - 17626.49. Round y to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccj when three letters picked without replacement from jjccjcjcjjccpcccp?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -74*w**2 - 2*w + 0*w + 428 - 422. Let d be o(2). Round d to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 15.19. Let u = o + 0.59. Which is the third smallest value? (a) 0.1 (b) u (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 123660.1107s?\nAnswer: 0.20446446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**2 - g + 1. Let n(f) = 4*f**2 - 30*f + 39. Let w(k) = 2*b(k) + n(k). Let y be w(-17). Solve y*l - 9 = -2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -991511?\nAnswer: -29745.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 5*n - 417 + 819, -n + 268 = 2*b. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**2. Let c(m) be the second derivative of -7*m**3\/6 + 76*m. Calculate c(j(b)).\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -27669.8246 + 385?\nAnswer: -27284.8246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**6\/120 + 7*a**5\/60 - a**4\/24 - 5*a**3 + 23*a**2. Let i be k(-5). Calculate the highest common divisor of 125 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -11*o - 9. Let h be t(-6). Suppose -7 - h = -4*d. Let g = d + 19. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 50, 225, 540, 1013, 1662, 2505, 3560, 4845?\n\"Answer: 3*t**3 + 52*t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -561 - -623. Solve -86 = 8*u - d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 6*l - 4. Suppose -4*v = -v + 9. Let n be o(v). Let s be ((-18)\/405*-10)\/(2\/9). Solve s = n*m - p, 4*m = p - 2*p - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -349, 0, 7 in descending order.\nAnswer: 7, 0, -349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7783*f + 7784*f = 7 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/31320 and -43\/2700.\nAnswer: 156600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 2, -15, -30, -43, -54, -63?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363 - 1217*j**2 + 610*j**2 - 8*j + 606*j**2.\nAnswer: -j**2 - 8*j + 363","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-2)\/1*(-299)\/(265512\/7770)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l = 3*q - 193, 2177*q - 30 = 2179*q - 2*l - 84 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8623 - 8950 + 6*w**3 + 17799 + 4*w**2 to the form b + s*w**2 + n*w + g*w**3 and give b.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008112 rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 270\/((3\/39)\/(-1) - 1512\/(-728)). Calculate the greatest common divisor of i and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 1138 = -3*z, 5*a + 11*z = 15*z + 1438. Is 22 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.4 - 19.3. Let v = 11.1 + -2.1. Let r = v + z. Which is the second smallest value? (a) r (b) 0.4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 - -4.9. Let o = q + -4. Let f = 2 + -4. Put f, 1, o in increasing order.\nAnswer: f, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15720, 15719, 15718, 15717, 15716, 15715?\n\"Answer: -x + 15721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 3 (c) -0.24 (d) -14 (e) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 206797826*g - 38381147 wrt g.\nAnswer: 206797826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10762290 and 94248?\nAnswer: 731835720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k - 6019. Let u(o) = -293*o. What is u(w(b))?\nAnswer: 879*b + 1763567","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18414 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19028 and 4505.\nAnswer: 85721140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-54 + 38)) + -56?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1839203 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98)\/4)\/((-4580)\/(-9160)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12465, 49842, 112131, 199326, 311421, 448410, 610287?\nAnswer: 797046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 215001, 214998, 214995, 214992, 214989?\n\"Answer: -3*x + 215004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 258116 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k - 5. Let o(b) = -2*b + 1. Let g(d) = -2*h(d) - 9*o(d). Let c be g(-2). List the prime factors of 1 + c - -7*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4788 is divided by 78?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -5*u - p, -u - 4*p - p = 38. Let a = u + 20. Suppose -4*h + c = -152, 3*c = a*h + 2*c - 74. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.18 and -0.131.\nAnswer: 1.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (6\/8 - (-3)\/(-6))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0)\/(-6 - -8) - 27\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/(-3))\/21)\/((-111)\/444)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8740297 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 8:09 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 10969.4658 to the nearest 100.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.3, -5, -3916?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 6. Suppose n*l - 4*l - 10 = 0. Let h(v) = v**2 + 5*v + 3. Let b be h(l). Is 3 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1483 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -98 + -6 - -19 - -103\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -19*t + 4. Let z be o(5). Let f = -88 - z. Solve -f*q + 19 = -5*a, -5*a = 38 - 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 222 - 154. Let w(l) = -l**2 + 4. Let i be w(-4). Let k(g) = -g**3 - 12*g**2 - 2*g - 6. Calculate the remainder when y is divided by k(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**2 - 192598352*h + 2318382824569744 = 0.\nAnswer: 24074794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13292143.979 - -13292794.9787829. Let i = 651 - q. Round i to five dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-37)\/(-13) - 7\/((-455)\/10). Let -5*y + 8 - 3 - 3*y**2 + 5*y**g - 2*y**2 = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29392.38 litres in millilitres?\nAnswer: 29392380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(37\/12 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4913 and 69649.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62 and 22?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k. Let g(v) = 1452*v - 566. Determine m(g(z)).\nAnswer: 1452*z - 566","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*g + 15. Solve 0 = b - 2*h, g*b - h = 4*h + 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2705.546 tonnes?\nAnswer: 2705546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 0, -3*t - 6 = 50*f - 45*f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -s + 3. Let g be (6\/(-18))\/(1\/6). Let l be (-28)\/(-7)*(-2)\/g. Calculate the highest common divisor of s and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*s**4 + 42*s**4 - 4*s**2 + 2*s**2 + (3 + 1 - 5)*(-s**4 + 3*s**4 - 3*s**4).\nAnswer: 25*s**4 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 0*c**2 + 0*c**4 - 4\/3*c**3 + 3\/10*c**6 + 0 + 0*c**5 + 4*c. Find the second derivative of l(n) wrt n.\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6997 - 1462 = -669*t + 4036 - 11212 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fucc when four letters picked without replacement from cvvoucffcc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2*3\/3). Suppose 37 = 4*d - 3*i, 5*d + i - 4*i = 50. Solve -d = -b*t + t - 4*f, 2*t = -f - 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2268891 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15885 and 5775786?\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 + 11)*(0 + 2 + 5\/(-4)). Solve 16 - 6 = -5*w, -p*l + 6 = -3*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.132 + 4.132. What is the smallest value in -1, j, 4, 6\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 55*m + 1442. Let t be k(27). Let c = -24 - -38. Calculate the greatest common divisor of t and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 327, 396, 505, 648, 819, 1012, 1221, 1440?\n\"Answer: -m**3 + 26*m**2 - 2*m + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i - 5. Let w be t(1). Suppose -5*a + w = 10. Does 6 divide 2\/a + 180\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5576\/(-574))\/((-8)\/28)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 46, 54, 64?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217982545 to the nearest integer?\nAnswer: 14764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2. Let b(p) = 2. Let h(o) = 3*b(o) - 2*r(o). Let g(x) = -x**2 + 2. Let s(l) = -3*l**2 + 7. Let u(v) = -8*g(v) + 3*s(v). Give 5*h(i) - 2*u(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(152) - sqrt(152)*-2)*-6)\/(sqrt(56)\/(sqrt(56)\/(sqrt(512) + sqrt(8)))).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -783, -1895, -3463, -5493, -7991?\nAnswer: -10963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 56514*n + 13 - 21.\nAnswer: 56514*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (10 + -33) - 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 636 = -3*p. Let u = p - 69. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 20*x - 222. Let b be q(24). Suppose -4*y - 3*t + 4900 = 0, 2*y - b - 1040 = -2*t. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/6)\/((-125)\/100)*(-30)\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b**2 - 14. Let k(s) = 57*s**2 - 99. Calculate -2*k(t) + 15*l(t).\nAnswer: 6*t**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -115592, -115581, -115582, -115601, -115644, -115717, -115826, -115977?\n\"Answer: -z**3 + 18*z - 115609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:50 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*g**2 - 11*g**2 - 152*g**2.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1837 and 23\/3340.\nAnswer: 36740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(3\/(-12)*2). Suppose z + 10 = c*z. Suppose -z + 2 = -4*i. Calculate the lowest common multiple of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 8. Suppose -o*v - 2*v = -20, -3*i - 4*v = -16. Solve i = -5*f - 0*f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/((-52)\/(-800)) - (-2)\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 497\/11 - 10\/55. Let r = 5 - -1. Suppose -r*m + t = -m. What is the smallest common multiple of m and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10556849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -214 or -213?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - (0 + sqrt(99))))*3.\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**2*r))\/r**6)\/(((r*r**(-3)\/r)\/r)\/r**(1\/2))*(r**(-2))**30\/((r*r**6*r)\/(r\/(r**(3\/8)\/r*r)*r*r)) assuming r is positive.\nAnswer: r**(-551\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7 (base 11) in base 3?\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - 2*-2*sqrt(110))\/(sqrt(10) + sqrt(1000) + (sqrt(1000) - sqrt(1000)*2 - sqrt(1000))).\nAnswer: -5*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138286?\nAnswer: 2, 69143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 - (-5 - -6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -3, -12 in increasing order.\nAnswer: -42, -12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 6*m**2 - 6*m - 1. Let b be q(6). Let u be -1 - ((-1524)\/(-36) + 2\/(-6)). Let w = b - u. Let p(h) = -h + 5. Determine p(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400\/(-50)*(-7)\/8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 34.\nAnswer: -5, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2810520 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65582 is divided by 64691.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 36 + 11. Solve -4*q + 4*x = -8, -q + u = -2*x + 4*x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, o: 1, h: 1}. What is prob of sequence hfo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55*i**3 - 17*i**3 + 22*i**3)*(1 - 1 + 3) to the form o*i**2 + l*i + h + j*i**3 and give j.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (4 - 12) + 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -15 + 21 - 8 - 2*m**2 - m**3 - 6. Let g be o(-3). Let p = 539\/10 + -54. Is p greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 20 = 4*w. Let k(p) = 11*p + 4. Let x be k(6). Let j = x - 66. What is the highest common divisor of w and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274035931 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 25. Suppose 0 = -2*b + 7 - h. Let n(x) = -6 - 8 - 7*x**b + 2*x**2 + 3. Let q(c) = -c**2 - 2. What is -6*n(s) + 33*q(s)?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -85890.63 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258783525.\nAnswer: 5, 599, 84059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 12*q**5 + 21375*q**4 - 274149*q**3 + 598035*q**2 + 1135737*q + 242190 = 0.\nAnswer: -1794, -1, -1\/4, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -508\/9 and -55 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4376*p**2. Let j(x) = -645*x**2. What is r(j(l))?\nAnswer: -1820525400*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + z - 1 = -s, 20 = 4*z. Suppose -s*j + 6 = j. Let x(y) = y**2 + 8*y + 8. Let r be x(-7). Sort r, j, 0.\nAnswer: 0, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -50, -4, -15\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 + ((-258)\/14 - -7). What is the closest to a in -0.1, -5, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*k**2 - 118 + 118)*(71 + 364 - 66) as m*k + z + i*k**2 and give i.\nAnswer: 3690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.1, 5, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = -5*g, -5*v - 4*g = -8*g - 23. What is the third derivative of 3*y**2 - y**2 - 4*y**v - y**2 wrt y?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410 = 28*n - 186 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7\/73 (b) 5 (c) 2 (d) 11 (e) 2\/63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/9 or -1094799?\nAnswer: -1094799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 31.2. Which is the biggest value? (a) q (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 262 = 241 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82*m + 106*m - 358*m + 98*m + (-1 + 0 + 0)*(3*m + 2*m - 4*m).\nAnswer: -73*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2214843730 to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22971 is divided by 4371?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2705 - -16325\/6. Calculate the common denominator of 53\/3 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/667 and -19\/1247.\nAnswer: 28681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 486\/21115 or 1?\nAnswer: 486\/21115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 2 + sqrt(80) + 0)*3 + -1)**2.\nAnswer: 240*sqrt(5) + 2905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 7*h**2 - 7*h + 13. Give u(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12.704 and -146833.\nAnswer: -146845.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 60784+-17\nAnswer: 60767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221.8943um to kilometers.\nAnswer: 0.0000002218943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6*3)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-36)\/63 - (-3 + 14187\/(-21))?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 25*l - 19. Let x(g) = -12*g + 10. Let p(q) = -7*x(q) - 3*z(q). Is p(7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three eighths of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 1. Let l(x) = -9*x - 5*x + 16*x - x**2 - 3 + 8. What is 3*d(y) + l(y)?\nAnswer: -y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*j - 830 = 784, -8 = 2*j. Does 47 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {g: 4, i: 4, a: 2, f: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 36*o**3 + o**2 + 4*o - 4. Let c be m(1). Suppose -5*n + 9*t + 32 = 8*t, 4*n + 3*t = c. Which is bigger: n or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -808*y + 473 + 1144 = -857*y for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 87*u**2. Let z be -4 + -6 - (0 - 5). Let y(d) = 4*d**2 + 5*d. Let j(h) = 5*h**2 + 6*h. Let s(b) = z*j(b) + 6*y(b). Determine s(x(w)).\nAnswer: -7569*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(78)\/sqrt(3))\/(6*sqrt(18)) + -3*(sqrt(234)*1)\/(sqrt(8)*1).\nAnswer: -40*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101111 (base 2) in base 6?\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.8 (b) -3\/7 (c) -3\/1394\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -18*x**2 + x**3 + 8*x**2 + 10*x**2 + 2*x**2. What is d(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1059277603?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.9 - 9. Let d = p + 15.1. Let y = 304\/17 + -18. Which is the closest to 0.1? (a) y (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t + 115 = -5*y, 0 = 2*t - y - 44. Find the common denominator of t and 33\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/8417823 and 14\/9795.\nAnswer: 42089115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 = -3*o - 12, 0 = -t - 5*o + 4. Let k(n) = n**3 - 4*n**2 + 4*n - 5. What is the units digit of k(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 633774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 79.901 from 2.7559373.\nAnswer: -77.1450627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 = -2*q, -b + 3*b + 5*q = -14. Suppose -b*r - 1 = -49. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + 2*r**3 - r**3 + (2*r**2 + 0*r**2 + 0*r**2)*(3 - 2*r - 3))*(3 + 3 - 3 - 2 + 2 - 3 + (2 - 1 + 0)*(-1 + 0 + 0)).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/80 and 101\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Let v = a + -6. Let x = -3\/2 - -17\/14. What is the biggest value in 2, x, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c06 - 5?\nAnswer: -1c0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/235 in 0.2, -0.03, 2\/9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 23. Let x be (s\/6*0)\/2. Solve -g = h + 6, g + x*h - 4 = h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08919322 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -14*s - 328. Determine c(-25).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 48685 divided by -9737\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/39 (b) 5 (c) 0.04 (d) 200.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 364b (base 15) to base 16\nAnswer: 2d1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 896 + d - 811 - 96 + 15*d**2 - d.\nAnswer: 15*d**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g + 2*g**2 + 16*g - 7*g - 23 - 3*g**2. Let v be y(7). Let w be v\/(-4) - (-156)\/48. Solve w = 4*p + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {i: 3, y: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13159676 divided by -223.\nAnswer: 59012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -2*p**3 - 3 + p**3 + 0 + 4*p. Differentiate f(h) with respect to h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*g + 9792375 = 9791829 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 73.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 12*s**2 - 1. Calculate y(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 237796542 a multiple of 3273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.05 (b) -8\/17 (c) -2 (d) 0.3 (e) -2\/41 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 24.5. What is the third biggest value in -3\/10, -4, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11425.46 meters to nanometers.\nAnswer: 11425460000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -42*s**3 + s**2 - s - 2. Let v be h(-1). Suppose -4*j - 5*n = -3*n - v, j + 5*n + 3 = 0. What is the lowest common multiple of 40 and j?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/290072 and -83\/4.\nAnswer: 290072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 17. Sort -4, m, 2.\nAnswer: -4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 3 = 5*n. Suppose -n*y + 15 - 72 = 3*z, 2*y - 90 = 4*z. Let f(o) = o**2 + 20*o - 11. Is 10 a factor of f(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*h = 7*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/7998 and 67\/372.\nAnswer: 15996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by -5.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 + 69*u**2 - 33*u - 13. Give b(34).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 3*y**2 + 3*y + 27. Let a be p(-4). Let f = -80 + 73.93. Let j = f + 0.07. Which is bigger: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50252561 + -2?\nAnswer: 50252559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 435, 873, 1311?\nAnswer: 1749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3366 (base 13) to base 10.\nAnswer: -7182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 2*h - 32, -3*p + 56 = -3*h - 76 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 36?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 16. Let l = 3 + -5. Which is the third smallest value? (a) y (b) 2\/21 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 18*n - 174. What is the least common multiple of 620 and v(-7)?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 4*p + 24 = 0. Let h = 13 - 9. Let x be 11\/3 - h\/6. Solve -x*y + p*y - 1 = 2*t, -y - 4*t + 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 189 - 92 + 22*t - 98 to the form j*t + w and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11190 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 10:27 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5672 - 18?\nAnswer: -5701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = 4*p + 8. Suppose 97*n - 20 = p*n. Solve -3*v = -n*k - 7, -5*k - 6 = -4*v + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61627500 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*d + 17 = 0, -2*d - 3*d - 25 = 0. Calculate the smallest common multiple of 36 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67617*i**3*m**2 - i**3*m - 125*i*m**2 - 187*i*m wrt i?\nAnswer: 405702*i*m**2 - 6*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 1973974\nAnswer: -1973974.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/4560 and -49\/270?\nAnswer: 41040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/11)\/g*g**6*g*g\/(g\/(g\/(g**(-1\/2)\/g)))*g*g**(-3\/8)*(((g\/(g*g*g\/((g*g*g\/g**(-2\/9)*g*g)\/g)*g))\/g)\/((g**6*g)\/g))**7 assuming g is positive.\nAnswer: g**(-24661\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - 6*sqrt(91)*4)\/(sqrt(7) + (sqrt(7) - sqrt(84)\/(-1*sqrt(12) - sqrt(12)))).\nAnswer: -46*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*z - 2*i, -4*i + 12 = 4*z - 16. What is h in -3*h - 2*h**3 + 7*h**2 - h + 15*h**2 - 16*h**z = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 15) to base 3\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -84*((-7)\/4 - -1). Calculate the smallest common multiple of ((-36)\/(-21))\/(6\/u) and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 29316 (b) 0.763 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 353000 divided by -1412?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g - 10. Let o be m(5). Is -24 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 17*o**2 - 30*o + 4. Suppose 4*l - 186 = 2*z, 5*l + 4*z = -0*l + 213. Suppose -4*h = -h - l. What is the remainder when 47 is divided by j(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169424 to the power of 1\/2, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65747.\nAnswer: 11, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**2 + 27*h - 49. Let r be o(-7). Solve 5 = r*g - 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291649 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-14)\/140)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9520250.96374 - -4?\nAnswer: 9520254.96374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 67 = 4*f, -7 = 2*j - 1831*f + 1830*f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 2. Let o be p(3). Let r be 6\/o + 2\/(-2). Suppose 4*n - 3*n - 4*q = 24, 15 = 5*n + q. Solve -2*i + a = -n*i - 9, a + 15 = -r*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6) - 27\/(-6). Put -4, 1, h in ascending order.\nAnswer: -4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/60*3)\/((-8)\/(-5))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -554800 * 0.16\nAnswer: -88768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-2\/3)\/w*w*w*w))**(-42)*w*w*w\/(w*w*w\/w**(-1))*w*((w**(-2)\/w)\/w)\/w assuming w is positive.\nAnswer: w**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.3. Let k = y - 0.3. Let s = 0.064 - -0.236. Which is the nearest to s? (a) k (b) 2\/17 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2780 - -2786. Solve b - 1 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 49\/(-47))*(-279)\/1116. Suppose 3*k - 3*f + 5*f - 3 = 0, -4 = -4*k - 5*f. Which is smaller: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 11:15 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -34349 times -527?\nAnswer: 18101923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -508b?\nAnswer: -5087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/3 + 4*w**4\/3 - 2*w**3\/3 - 4*w**2\/3 + w = 0. Calculate w.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/2 (b) -86 (c) 1\/2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -5 (c) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 12. Let j = 5.61 - 0.11. Let v = -0.5 + j. What is the nearest to -0.1 in n, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0\/(-2 + 0). Calculate the common denominator of ((-4)\/10)\/((-12)\/(-95)) and 604\/132 + m\/(-3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -19 (b) -2\/5 (c) 12 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(1\/6)\/o)**15\/((o\/((o**7\/o)\/o))\/(o\/(o\/(o**13*o*o)))) assuming o is positive.\nAnswer: o**(73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189 + 5*o - 155 - 193 + 540 - 3*o.\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23293066.\nAnswer: 2, 23, 173, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1015 + -691. Let t = 49822 - 49804. What is the highest common divisor of l and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + v + 2, 0*y = 4*y + v + 20. Let n be (-3)\/5 - y\/10. Factor 0*d + 3\/4*d**3 + 3\/4*d**2 + n.\nAnswer: 3*d**2*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/24180 and 103\/30.\nAnswer: 24180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 11501267470 to the nearest one hundred thousand.\nAnswer: 11501300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 5:43 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75520.23 millimeters to centimeters.\nAnswer: 7552.023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42484 + 42480. Let v(o) = 8*o + 5. Let i(x) be the third derivative of 3*x**4\/8 + x**3 - x**2. Give z*i(t) + 5*v(t).\nAnswer: 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 16 = -4*m. Suppose 0 = -0*c + m*c - 16. Sort 1, c, 3 in increasing order.\nAnswer: 1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 7 = -5*v, 19*v - 35*v + 20*v - 8 = -3*c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24719 - 24724. Sort 0.01, 4\/15, n.\nAnswer: n, 0.01, 4\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1243 - b?\nAnswer: -124e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + b + 13, -5*l = -4*l + 2*b - 10. Suppose -l*t + 400 = 4*a, -2*t = -4*t - 5*a + 212. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 7:17 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 - a**3 - 2*a**4 + (-16 - 36 + 4)*(-a**2 + 2*a**2 + a**2)*(-377 + 18*a**2 + 377).\nAnswer: -1730*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110010001 - 101?\nAnswer: -100110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 94 (b) 1\/5 (c) -4 (d) -0.2 (e) -2\/1811 (f) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 147688.92 hours?\nAnswer: 6153.705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*l + 25, -65 = 5*j + 4*l + l. Let m(s) = s**2 + 13*s - 7. Does 5 divide m(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c**(-12)*c)**41*(c\/(c**2*c)*(c\/(c**(-7)*c))\/c*c)\/(c**(1\/3)*c\/(c*c**(-1\/2))) assuming c is positive.\nAnswer: c**(-2435\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 12:23 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**7\/1680 - y**6\/120 + y**5\/20 + y**2. Let v(b) be the third derivative of p(b). What is the units digit of v(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38433 smaller than -38433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.01, 4, -2, -1.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.90948 and -0.2.\nAnswer: -0.381896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -212 + 296. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-96)\/(-238) - 4\/14. Suppose -195*u - 2*s = -199*u - 28, -4*s = u - 11. Which is the nearest to 3\/23? (a) -2\/3 (b) u (c) i (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68475 is divided by 1071?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v + 1. Let j be r(-1). Let k(w) = w - 18. Let h be k(11). Let x = h + 4. Is j less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/9588 and 57\/188.\nAnswer: 9588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106290 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436976*s - 436974*s - 14 = -2*r, -7*s = 5*r - 41 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**3\/2 - 180*j**2 - 11097*j\/2 - 36450 = 0.\nAnswer: -75, -36, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 100*b**2 - 191*b - 1314. Give z(102).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -58*j - 5. What is l(2)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 242*u + 364*u + 2878 + 3182 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and -5479.\nAnswer: -5490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-84)\/(-70))\/(5\/25). Calculate the highest common divisor of i and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85966.0305608 - -85966. Let s = m + 0.0305. What is s rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45913881?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 180 divided by -30\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -405440, -810698, -1215956, -1621214?\nAnswer: -2026472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + 4 - (1 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/80 and 2\/(720\/(-1292)) - (-6 + 1)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 32*s + 70. Let d = 779 - 748. Let x be m(d). Let a(i) = -37*i**3 - 13. Let u(l) = -6*l**3 - 2. Give x*u(c) - 6*a(c).\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/10)\/(44\/(-10) + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3, 7, 29, 81, 175, 323, 537, 829?\n\"Answer: 2*n**3 - 3*n**2 - n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 6*t**2 - t + 6. Let c(o) = -o**2 + 5*o - 1. Let j be c(4). Suppose 0 = 2*r - j*r + 6. Let v be y(r). Solve -1 = -b - v*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t. Let m(b) = 90*b - 1. Give m(k(n)).\nAnswer: 450*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 162768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 203639824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400\/28*24297\/(-6942).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 31184858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(36)\/(-1*sqrt(8)))\/((sqrt(30) + sqrt(1080)*-2)\/(sqrt(245) + sqrt(245)*2 + sqrt(245))))**2.\nAnswer: 588\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/9)\/(8\/(-204)). Let j = u - 15. Put j, 6, -1 in descending order.\nAnswer: 6, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14873916, 29747824, 44621732, 59495640?\nAnswer: 74369548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)\/g)**(-19)\/(g**(2\/15)*g**(2\/17)*g) assuming g is positive.\nAnswer: g**(14216\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4055*j**2 - 24*j + 45. Is s(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -523, -587, -699, -865, -1091, -1383, -1747?\n\"Answer: -t**3 - 18*t**2 - 3*t - 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960543631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -43*u**2. Let k(x) be the first derivative of -8*x**3\/3 + 451. Determine v(k(n)).\nAnswer: -2752*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 1. Let w be x(0). Let f = w + 5. Let y(i) = -i**3 - 2*i**2 + i + 2. Let r be y(-2). Solve r = -z + f*z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 286\/55*(-3345)\/(-446)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r - 18*r + 37*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -5*v**3\/3 - 245*v**2\/2 + 119. Find o such that p(o) = 0.\nAnswer: -49, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 0.2, 13\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 40*r**2 + 1. Give y(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255150 and 116775.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**4\/4 + o**3\/3 - 3*o**2 - o. Let h(q) = -q**3 + 7*q**2 + 3*q - 17. Let n be h(7). Is 25 a factor of a(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.4 - -6. Let t = 1.67 + -0.13. Let a = -0.46 - t. What is the second biggest value in a, x, 4\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2 - 23*i - 8. Let s be w(6). Let u be ((-15)\/6)\/(1\/s). What are the prime factors of 128 + 1*(u + -7)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 + 8*i**2 + 3*i**2 to the form d*i**2 + f + s*i and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11576104 and -0.164497.\nAnswer: -11576104.164497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 99047 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: Let g = 833 + -340. Let u be (11187\/15)\/(6\/(-4)). Let m = u + g. What is the common denominator of -35 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**4\/6 - 10*n**3\/27 - 4*n**2\/9 + 8*n\/9 - 57. Factor x(p).\nAnswer: 2*(p - 2)*(p + 1)*(3*p - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 216 = -3*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 10 + 2, -3*z = -o - 71. Suppose -4*k - k + 10 = 2*v, z = 5*v - k. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -461242*x**4 + 3*x**3 + 2*x**2 + 3167960*x wrt x.\nAnswer: -5534904*x**2 + 18*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32196850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 25 = -5*w, -3*w + 20 = w. Suppose 4*f - 1297 - 231 = k. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 18?\nAnswer: -25\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874091 is divided by 827?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59586739.\nAnswer: 149, 399911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (0 + 4 + -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5154)\/(-2) + (-38)\/19?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 24*j**2 + 1. Let g(t) = 43*t**2. Give g(x(w)).\nAnswer: 24768*w**4 + 2064*w**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 134 divided by 5\nAnswer: 134\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f. Let l = -1\/3852 - -21187\/3852. Let q(p) be the first derivative of -l*p**2 + 0*p - 4. Determine b(q(x)).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41711\/25 - -1668. Let r = 1\/25 + n. Let u = -6\/103 - -333\/412. Which is the nearest to 2\/5? (a) u (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, g: 3, j: 4, k: 11}. What is prob of picking 1 j, 1 k, and 1 d?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-37)\/(-407)*209?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 4. Let j(i) = 2*i**2 - 114*i + 12. Let r(c) = -j(c) + 3*z(c). Let h(k) = k. What is h(r(q))?\nAnswer: q**2 + 114*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78243 is divided by 105?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*d = 7 + 11, -21 = -5*k - 2*d. Suppose -3*u - k*y + 147 = 0, 5*u - 125 = -2*y + 120. Calculate the highest common factor of u and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + 0 + sqrt(325) + sqrt(325) + (sqrt(13) - -1*sqrt(1872)) + 5 + -3*-2*(-2 + sqrt(13))).\nAnswer: -145*sqrt(13) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 e, and 2 n when four letters picked without replacement from {a: 1, b: 9, e: 1, u: 2, n: 4}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142 and 143278?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*y + 3, 0*y + 3*y + t = 9. Suppose 7*w - y*w - 190 = 0. Calculate the remainder when w is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66.1 + -23.\nAnswer: 43.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/104)\/(-3 - 39\/(-12)). Let y be 6\/(-9)*(-3)\/(-4). What is the nearest to -0.1 in y, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-45)\/10*5750\/(-345).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5185 and 0.2.\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*i - 6 = -2, -5*i = 3*r - 11. Let z = -3 - -8. Let x(g) = 0*g**r - 2*g**2 + z*g**2. Let k(d) = d. What is k(x(s))?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260 and 368602?\nAnswer: 3686020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36201 - 48545545\/1341. Does g = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 p, and 2 i when four letters picked without replacement from {i: 2, e: 2, m: 6, p: 8}?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/(-45) - (-33)\/5. Let w be ((-7)\/(-3))\/((-2)\/6). Let n be (-29)\/27 - (i + w). Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 974.0365 rounded to the nearest 10?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 3\/2, -846, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 28*s - 11. Let j be m(27). Let u be (j\/6)\/((-30)\/(-45)). Put 15, -5, u in increasing order.\nAnswer: -5, u, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 59. Suppose 2*i = 7*i - t. Is i less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l - 23*l - 13*l + 49*l + 15 - 2*l - 2*l.\nAnswer: 4*l + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -489 + 514. Suppose b - o = -4*o + 1157, 5*o + l = 0. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 61026*r**2 + 488256*r - 976544.\nAnswer: -(r - 4)**2*(r + 61034)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/34)\/((-1)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19451*o - 4*v - 32 = -19455*o, -2*o = 5*v + 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 339433 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 9:16 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2800 + 2834 - (-20 + (-1 - 3)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:07 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -252 - -5?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 4*d**2 + 5*d + 16. Let w be z(-5). Calculate the highest common factor of 28 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12993, -13053, -13153, -13293?\nAnswer: -13473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1753 - 1504*l + 1374*l + 1753.\nAnswer: -130*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from csudsrm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112 + -109. Let g be (y\/9)\/(1\/12*1). Suppose -g*a + 9*a - 3925 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20 (b) 3 (c) -0.3 (d) 4 (e) 3\/2 (f) 2 (g) 113\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 51\/5 of a millennium?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*u - 19537 - 95403. What are the prime factors of u?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(8\/17)*(m\/m**(-6))\/(m*m**(-2)))\/(((m**(-1\/5)\/m)\/m)**(-16)\/(m\/m**(-1\/2)*m\/(m\/(m*m**(-2\/19)))*m)) assuming m is positive.\nAnswer: m**(-78411\/3230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(832)*-1)**2.\nAnswer: 119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*a = a + 2, 2*a - 16 = -3*r. Let d be (-3)\/r - 143\/(-156). What is the third biggest value in d, 0.2, 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (-3 + (-2 - -11))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110100100111 - 100?\nAnswer: 110110100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -9 - (0 - (-5 - -17))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -615374 + 615458. Let s be (196 - 1) + (2 - 1). Calculate the greatest common factor of q and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 23467 and 23466 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.0917 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1331))**2 - (sqrt(99))**2*2.\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 608580 and 80850?\nAnswer: 33471900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -755331505 + 755331511.37999258. Let t = -6.38 + l. What is t rounded to seven dps?\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**4\/24 - 2*x**3 - 10*x**2. Let s be b(-7). Let a(h) = -4*h + 1. What is a(s)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(504)*-2)\/((sqrt(14) + (sqrt(672) + sqrt(42))\/sqrt(3))\/sqrt(2)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 14*g**2. Let l(w) be the first derivative of -w**4\/4 + 13*w**3\/3 + 507. Give -2*l(o) - 3*t(o).\nAnswer: -o**3 + 16*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**19*h)\/h**(4\/7))\/(h\/(h\/(h**(2\/11)\/h)))**(3\/4) assuming h is positive.\nAnswer: h**(6173\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -304085*z**2 - 47*z + 2. Let r be g(-14). Round r to the nearest 1000000.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -4ebb?\nAnswer: -4ebc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000016 to the power of 1\/4, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (-1*(sqrt(200) + sqrt(200) + 2) - (sqrt(200) + 2)*-6)) + 3 + 4.\nAnswer: -40*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75133911103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvzzzeev. Give prob of picking 2 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1514 and 41?\nAnswer: -62074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 7*x + 1202 + 5*x + 4*x - 1201. Suppose 3*m - m = -2. Let o(r) = -1. Determine m*h(a) - o(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 1690*j**3 - 1619052*j**2 + 387785946*j - 7342112 = 0. Calculate j.\nAnswer: 16\/845, 479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -809899735*s**2 + 68841572*s?\nAnswer: -1619799470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -78, -167, -258, -351, -446, -543, -642?\n\"Answer: -d**2 - 86*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/15)\/(9\/(-45)). List the prime factors of x - 128\/72 - 15514\/(-9).\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c0 + 11?\nAnswer: -ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = -l. Let -4*d**3 - d**3 + 2*d**2 + 3*d**3 + 2*d - l = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4*u = -64, -3*u + 29 = 3*d + 47 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 + 52198*h - 52198*h.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + 20. Calculate s(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -2. Let f = 2\/83 - 220\/2241. Which is smaller: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7873582, -7873595, -7873610, -7873627, -7873646, -7873667?\n\"Answer: -p**2 - 10*p - 7873571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = -7*f + 5*k - 70, -5*f + k = -70. Calculate the greatest common factor of f and 896.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2437 or 2436?\nAnswer: 2436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -10*i**2 + 31*i + 1. Let y be s(3). Let k be (-4)\/(-7*y) + 97\/7. Let q(n) = n**3 - 15*n**2 + 16*n - 21. What is q(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(50) + 1)**2*3.\nAnswer: -30*sqrt(2) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*k = -59*k - 5, 0 = 2*n - k + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-27)*((k**(-1\/14)\/k)\/k)\/k)**(-4\/17) assuming k is positive.\nAnswer: k**(842\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29270 = 10*v - 15*v. Suppose 5*s = 2*l - 254 + v, s = 4. Round l to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-3*2*sqrt(17) + 1*sqrt(272))**2 + 3*(-5 + sqrt(17)*-3)).\nAnswer: -53 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iik when three letters picked without replacement from itoekot.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 469948199*a**3 + 3606*a**2 + 25451?\nAnswer: 2819689194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and (14 - -1)\/1*(-2)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 824592 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72235 at most 72235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 15) + -14 - -23.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**2\/2 - w - 1. Let q be v(3). Solve -8 - 8 = -4*z + q*l, z = -3*l + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 815614970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/(-14) - (2 - 3). Suppose k - 2*c = 13, -5*c + 1 = o*k + 6. Let j(q) = 7*q - 3. What is the smallest common multiple of j(2) and k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 8*j**2 - 12*j - 11. Let x be v(-9). Suppose 3*q - r - 4 + 0 = 0, 5*r - x = 3*q. Let s = 9 - q. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -393*p**2 - 83301*p + 3167. Give m(-212).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 19.3. Let x = r - -7.984. Let t = x + -0.084. Put t, 3, 4, 1\/4 in increasing order.\nAnswer: t, 1\/4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*h = -15, 0*h - 3 = f + 5*h. Suppose -2*v - 4*t = 102 + 14, t + 4 = 0. Let i = 251\/5 + v. What is the biggest value in 0.3, f, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o - 2. Differentiate 1 - 11*c**4 - 14 + 5*c**4 - o*c**4 with respect to c.\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**5\/9 + 5278*a**4\/9 + 2323199*a**3\/3 + 13923364*a**2\/9 + 6959044*a\/9 = 0.\nAnswer: -2638, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**3\/3 + 4. Let i(z) = 2*z**3 - 4*z**2. Determine i(p) - 4*l(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/2 + 205389*g + 14061547107\/2.\nAnswer: 3*(g + 68463)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 3*l + 21, 4 = 1371*l - 1372*l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 4*k**3\/3 + 3*k**2\/2 - 5*k - 14. Let f be o(-5). What is the highest common factor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*k - 34884 + 130728 = -53*k. What is the highest common factor of k and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*x + 1616 = 0, -8*x - 8 = -4*x. Find the first derivative of 0*q + 0*q + 61 + 1027*q**2 - c*q**2 wrt q.\nAnswer: 430*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 347a8e (base 15) to base 9.\nAnswer: 4640408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52528 is divided by 956?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*3*((sqrt(110)*1*3 - sqrt(110)) + sqrt(110)))\/(((sqrt(280)*2)\/sqrt(7))\/(sqrt(64)*2)))**2.\nAnswer: 513216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 9*f**3 - 10*f**2 - 17*f - 39. Let g(j) = 11*j**3 - 9*j**2 - 20*j - 40. Let m(z) = 5*g(z) - 6*r(z). Give m(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*j + 2 = 1442 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12371472 and -3326?\nAnswer: 12368146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a + 36*a = 890. Suppose -a = -2*k + 4*p, 5*k + 0*k = p + 436. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56.1 + 7. Let m = l + 48. Which is the closest to 1? (a) -1 (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1293776.93678 - 13.06322. Let s = i - -1293790.07000015. Let u = -0.07 + s. What is u rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 435 = 3*s + a, -153 = s - 3*a. Is 28 a factor of -6 - (-4 + -6) - s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 152511333?\nAnswer: 152511338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/9 - 361586*k**2\/9 - 12768548*k\/3.\nAnswer: -2*k*(k + 106)*(k + 180687)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 383 - 234. Let k = -149 + w. Solve -9 + k = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 11*n + 21. Calculate f(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 3 (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -26*t + 1. Let o(j) = -j. What is -4*o(l) + z(l)?\nAnswer: -22*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19378800 = 28*w - 112*w. What is w rounded to the nearest one thousand?\nAnswer: 231000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -1*15) + -3. Find the first derivative of -110 - l*x**4 - 9*x**4 + 98 wrt x.\nAnswer: -68*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 - 6*q + 382 - 370 + 27*q. Let d be w(-11). What is the greatest common factor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272)*1 + -4 - -1*sqrt(272)*-2) + -4 - 3*-5*(0 + sqrt(1088))*-2)**2.\nAnswer: 3904*sqrt(17) + 1012176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3838, 7682, 11516, 15334, 19130, 22898?\n\"Answer: -q**3 + q**2 + 3848*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53758*u = -53756*u - 2*w - 76, 0 = 2*u + 5*w + 162 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*3*1 - sqrt(117))\/sqrt(9).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11022 - -20000?\nAnswer: 101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*q**4 + 0 - q**3 + 0*q - 2\/3*q**2.\nAnswer: -q**2*(q + 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*u - 20 = 0, -3*u = -5*i - u + 1. Let d be 2 + (i\/1 - 1). Suppose -5*n + y = -876 + 170, d = -3*n + 3*y + 414. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*r + 627*r = -890*r + 31234 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 23*n**2 + 38603*n**3 - 21*n**2 - 38631*n**3. Calculate g(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avjhjvjhjjvnhj. What is prob of sequence aj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.65724 and 2.\nAnswer: 5.65724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169258.\nAnswer: 2, 84629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*y = -1672*c + 1671*c + 1, 3*c - y = 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/15 and 17\/771.\nAnswer: 3855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*q + 2093 = -q, -4*a - 8267 = -5*q. Let v be (-2)\/(-9) - (3 + a\/27). Let f = v + -43. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 30 - 5 = 0. What is the second derivative of 5*f - b*f - f + 2*f**2 wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2. Let w(p) be the third derivative of 1\/20*p**5 + 0*p**4 + 0 + 0*p + 0*p**3 + 2*p**2. What is w(r(t))?\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4020\/(-6)*(2 + 42\/(-15)). Let l be -1 + 2\/(-2) + 9. Suppose 0 = l*n - 9*n + t. What are the prime factors of n?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/9 and 12\/21*(-2)\/(4*3).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 249 and 4?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z**2. Let n(d) = -156129 - 27*d + 156129. Give p(n(i)).\nAnswer: -5103*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 528 = -4*k, -16 = 5*l + 9. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2316?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1751*v**2 + 58*v - 1.\nAnswer: -3502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.878961kg?\nAnswer: 6878961000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 129953\/4 at least 32489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6900*d**6 - 8395*d**2 - 11260301*d**5 + 11260301*d**5 wrt d.\nAnswer: 828000*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7 - 7 - 2 - 13*x - 134*x**4 wrt x?\nAnswer: -1608*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26239 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 21*f + 17*f**3 + 14*f**3 - 27*f**3.\nAnswer: 4*f**3 - 21*f - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 4*p - 3617*p**3 + 4358*p**3.\nAnswer: 741*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 10 - 14 - 10)*(-a + 2 - 2).\nAnswer: a**2 + 34*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 5238?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 8 = 2*b, -l + 4 + 0 = 4*b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 5:33 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1672 + -461?\nAnswer: -2353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**4\/4 - 703*q**3\/3 - q**2\/2 - 177*q + 2070. Find the second derivative of o(t) wrt t.\nAnswer: -6*t - 1406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.12153647401 - -1317742.89866352599. Let m = x + -1317540. Let o = 203 - m. What is o rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 26 - 2 = 0. Let x = b + -16. Let c = 5 + x. What is the second biggest value in c, -0.1, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 780, 783, 790, 801, 816?\nAnswer: 835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440 divided by -12?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7584 divided by -9.\nAnswer: 2528\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b05 (base 14) in base 3?\nAnswer: -221112211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 0 - (-9)\/(-6))\/((-530)\/848). What is the nearest to -1 in 11, j, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-120) - (-4)\/(-30). Solve 4*m - 5*m - 6 = -5*j, 4*j - 4*m + 8 = n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*l + 202 = -0*l, -3*l = -4*r + 360. What is r rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 302 and -11.67.\nAnswer: -3524.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-49)\/(-14) - 3\/2. Solve 5*f + 27 = o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9380184.\nAnswer: 2, 3, 11, 35531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6*m + 1908 = 0. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - z - 2*z + (6 - 10 - 8)*(5*z + z + 4*z))*(-14*z - 3*z**2 + 14*z).\nAnswer: 363*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**3 + a**2 + 4*a + 1. Let d(c) = c**3 - c. Let b(o) = -o**3 - 5*o**2 + 8*o + 13. Let t be b(-6). Give t*q(g) + 4*d(g).\nAnswer: g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - 14*y + 3. What is the tens digit of a(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 13 = -4*n, -n + 4*n = 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**9\/72 + c**5\/5 + 12*c**2. What is the third derivative of x(q) wrt q?\nAnswer: -840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 768.4 + -768.396599. What is y rounded to four dps?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*-4*(-2*sqrt(72) - sqrt(72) - sqrt(72) - sqrt(72)))\/(4*sqrt(66)\/(1*sqrt(1331))).\nAnswer: -220*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*h + 1863*h - 206151 = -4597*h for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a13d (base 14) in base 16?\nAnswer: -51cab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7, -10\/19, 7.5?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2982496, 2982495, 2982494, 2982493, 2982492?\n\"Answer: -a + 2982497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*j + 92*j + 15*j + (-3 + 2 + 0)*(4 + j - 4) to the form v*j + q and give v.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9792, -9623, -9364, -9015, -8576, -8047?\nAnswer: -7428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -21*d - 14*d + 19 - d**3 - 4*d + 29*d**2. Let b(h) = h**3 + h**2 - h + 1. Let y be ((-3)\/12)\/(1\/(-4)). Let x(j) = y*n(j) - 4*b(j). Factor x(t).\nAnswer: -5*(t - 3)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 2\/47 (c) 14 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*d**2)*(-2 + 3 - 2) + (335 + 31*d**2 - 335)*(8 - 15 - 11).\nAnswer: -562*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*z - 89818 + 269436 - 178*z - 89793 - 89825.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y. Let f(w) = -21*w**2 + w - 13. What is f(v(r))?\nAnswer: -336*r**2 - 4*r - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -708 - -1191. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 32*v - 104. Let d be (0 + 24 + -1 - -4) + -5. List the prime factors of p(d).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 + 1. Let o be h(-1). Let f(u) = -3*u + 43. Let d be f(13). Calculate the highest common factor of o and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 252 = -38*t + 15*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**10*i**15*(i**(-7))**(-2\/43))**(-6\/11) assuming i is positive.\nAnswer: i**(-1632\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (165\/30)\/(4\/(-8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - r**2 - 2673*r**2 - 44.\nAnswer: -2674*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.923531437 to 4 dps.\nAnswer: -1.9235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2228 and 117\/20?\nAnswer: 11140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1217, 2\/7, -0.1, 0.3, -1\/2, -2, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 2061934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + 3 + sqrt(13) + sqrt(13) + 0)**2 + -4 + -5.\nAnswer: 16*sqrt(13) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 + 333 + 439 - 91)*(-a + a - 2*a).\nAnswer: -1220*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**4\/3 + 160*h**3 - 9668*h**2\/3 - 3384*h = 0?\nAnswer: -1, 0, 27, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -75 (b) -188 (c) 3\/2 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14103072727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6685 is divided by 96?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1936716 divided by 645572?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -38047 from -0.3.\nAnswer: 38046.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1555038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 12*p - 2*o + 9, -4*o + 16 = -4*p. Let l(v) be the third derivative of 9*v**5\/20 - v**4\/24 + v**3\/6 + 2*v**2. What is l(p)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22493449, 22493443, 22493437?\n\"Answer: -6*f + 22493455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174081, -349892, -525705, -701520, -877337, -1053156?\nAnswer: -1228977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -20*o**2 - 159 + 0*o**4 + 8*o**4 + 168. Find the second derivative of q(s) wrt s.\nAnswer: 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -596722?\nAnswer: 1\/596722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 q, and 1 j when four letters picked without replacement from xqxjx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 1329*l - 39397. Determine r(-29).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 779.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889115 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*6\/(-6))\/(-8 + 9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-72) + (-2 - 1) + 3. Which is the second smallest value? (a) -4\/3 (b) -11 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-174)\/(-30) - (-2)\/10. Suppose -74 = 4*n - h. Let i = 41 + n. Calculate the highest common factor of i and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-452)\/(-226)*17\/(-1)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + -3 + sqrt(11) + sqrt(55)\/(sqrt(20)\/sqrt(4)))**2.\nAnswer: -96*sqrt(11) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/5)\/(u**6\/u)*u**6*u\/(u*u\/(u\/u**3))*(u*u**(-5))\/u**(1\/3)*(u**(3\/7)\/u)\/u**(2\/13) assuming u is positive.\nAnswer: u**(-9089\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from {v: 1, g: 2, c: 11, d: 2, k: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 165.662 + -0.062. Round i to the nearest integer.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (sqrt(70) - -6*sqrt(70)*3))\/((sqrt(10) - sqrt(90))*-2).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 113101 (base 4) to base 7\nAnswer: 4225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/45)\/(((-2)\/115)\/(438\/730))?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*g - 6, -w - 2*w = 2*g - 16. Calculate the remainder when 5 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33958*g**3 - 33842*g**3 + 67798*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6838)\/6 + (-2)\/6. What is g rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - 4.9. Round f to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 14\/3, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*k + 357 = 21*k. Let f(n) = n**3 + 5*n**2 - 14*n - 2. What is f(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2 + 11*y**2 + 7.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 5. Let k(a) = 11 - 4*a + 5*a - 3*a - 2*a. Determine -13*g(t) - 6*k(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 66*o - 716. Give i(-8).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-11) + (-19684)\/880)*-4. Let s = c - 90. Which is smaller: s or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**2 - 4*z**2 + z**2. Let y(i) = -2*i. Give a(y(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 11. Let v = j + -3. Let q be 0\/v*(1 + 0). Which is bigger: 1\/2 or q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.831999 to two dps.\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199 - 182. Let w(k) = k**2 - n - 311*k + 626*k - 1 - 310*k. Calculate w(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*m - 3*y, 6*m = 4*y + 21 - 1. Let w be (-1)\/2 + (-186)\/(-4). Suppose m = -43*p + w*p - 171. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 49436 = -17837. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 9:34 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25375 + -25367. Calculate the least common multiple of 2000 and z.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -9*b**2 - 13 + b**3 + 11 - 3*b + 6*b**2. What is s(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1045 - -1059. What is the highest common factor of d and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(-31690*z + 6328*z - 11053*z).\nAnswer: -36415*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 + 81. Let j(m) = -m**3 - 4*m**2 + 8*m + 18. Let h be j(s). Let u = -102 + h. What is the remainder when 48 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 504*y + 2170. Let c(s) = -29*s - 124. Let n(i) = 105*c(i) + 6*f(i). Let v(b) = b**2 - b**2 - 7*b**2. Give v(n(x)).\nAnswer: -3087*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -0.063\nAnswer: 0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)\/t**25)\/(t\/(t*t**(-36))*t*((t\/t**(-3\/2))\/t)\/t*t*t) assuming t is positive.\nAnswer: t**(-137\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from ssgspgsspg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-25)\/(-15))\/5 - 9732\/(-18). Let l = m + 26. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + 0 - 0\/(-5). Let o = y + 8. Put o, -2, -8 in decreasing order.\nAnswer: o, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -3322285?\nAnswer: 3322304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 5*i**2 - 4*i + 6. Give d(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 3*q + 2*q)*(1 + 2*q**2 - 1)*(6 - 6 - 7*q**2).\nAnswer: -42*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 13 = -y, 2*y - 4*x - 18 - 22 = 0. Suppose -a - l = -8, -2*a = 4*l - 8 - y. What is the remainder when 19 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 2*o + 4. Let f be q(3). Let z = -176 - -246. Let r = f + z. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 + 15*k**2 + 60*k - 413. Let d be s(8). Let x be (-3)\/2*16\/(-6). Put d, x, -2, -5 in descending order.\nAnswer: x, d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 417110 (b) -4 (c) 1\/6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 31 (c) 91 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 4*f + 8, 4*f + f = -2*v + 13. Suppose 2*k - 16 = 3*r, -5*k + 19 = -r + v*r. Let w(q) = -2*q**3 - 3*q - 3. What is the tens digit of w(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1229614 or 1229696?\nAnswer: 1229696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**4\/2 + 633*v**3 + 11801*v**2\/2 - 476652*v = 0.\nAnswer: -1256, -33, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13244, -52743, -118496, -210503?\n\"Answer: -13127*s**2 - 118*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 7 + 15 - 48 + 14 - 4*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 2:12 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*b**3 + 1 + 9*b - 24*b - 1 - 334*b**3 + 641*b**3.\nAnswer: -2*b**3 - 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 8. Let i be y(6). Let c = -75 + 77. Solve 6\/7*m**c - 9\/7*m**5 + 0 + 9\/7*m**3 + 0*m - 6\/7*m**i = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**3 - 6*h**2 - 3*h. Let p be n(6). Let j = p - 197. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14631 - 14630.9. Is 4501 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -15*d**3 - 4*d + 4. Let a = 4994 + -5003. Let i(p) = -29*p**3 - 9*p + 9. Give a*j(x) + 4*i(x).\nAnswer: 19*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*a**3*o**2 - 1112*a**3 - a**2*o + 136*a*o + 2*a - 19430*o**2 wrt o.\nAnswer: -12*a**3 - 38860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from ajaaajaa?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/145808 and 71\/312.\nAnswer: 437424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 2:32 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109708223 - -1572041.\nAnswer: -108136182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 367383922 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.5 (c) -1\/9 (d) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 n when four letters picked without replacement from {n: 1, h: 18}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -3341012131?\nAnswer: 3341012131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (2*sqrt(567) + 4 - (3 + sqrt(567) + sqrt(567) + 2 + sqrt(567))))*6)**2.\nAnswer: -648*sqrt(7) + 20448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -286, -635, -1122, -1747, -2510?\nAnswer: -3411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l - 210*l + 1459 = 7 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 190, 188, 186, 184?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a - 1928 - 6*a + 5*a + 1053 + 1077 in the form p*a + i and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 539760 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**2 - h*v - 25*h + 577*v with respect to h.\nAnswer: -6*h - v - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 110*x**3 + 25*x**2 - 24*x - 3. Let z be b(1). Solve 28*l - 88 = z for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u + u - 1531 + 1596 - u in the form l*u + w and give w.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 342314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(2\/11))\/k)**(-5\/2))**4 assuming k is positive.\nAnswer: k**(-20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 22*o - 373. What is y(-33)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 - 8 = 0. Suppose -6*d + 111 = -9*d. Let r = d - -41. What is the remainder when f is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*v**3 - v**3 + 2*v**3 + (11 - 5 + 1)*(-2*v**3 + 3*v**3 + v**3))*(3*v - 2*v - 3*v) as y*v**2 + d + s*v**3 + i*v**4 + q*v and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -892, -1786, -2680, -3574, -4468, -5362?\nAnswer: -6256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, j: 1, u: 8}. Give prob of picking 3 p.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -16*f**3 - 1046*f**2 + 1034*f + 13. What is v(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8403 to the nearest 100.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 4, -3, 243, 1 in ascending order.\nAnswer: -3, 1, 2, 3, 4, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 - 14*z**2 - 21*z - 13. Calculate p(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30640019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -t - q + 7, 2*t - 2*q = 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7367, -15347, -23941, -33149, -42971, -53407?\nAnswer: -64457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 10333193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + x + 61, 3*k - x + 4*x + 93 = 0. Let b be (-3)\/7 - 471\/(-21). Let o = b - k. Round o to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - -1013123013022?\nAnswer: 1013123013010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 390 and 9750\/(-50)*3\/(-6)*14.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*y**2 + 210410*y**3 - 146*y**2 - 210409*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 991376*b*q**2*t**3*w + 51*b*q**2*w + 4083*b*q*t**3*w - b*q*w - 33*b*q + 78*q*t**3*w wrt q?\nAnswer: 1982752*b*t**3*w + 102*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -794 + 795. Let k be (-8)\/o + 2 - (-1 - 20). Solve 2*s = -5*v - k, 6*v = -5*s + v - 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31685 is divided by 10409?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1851 = 4*q + 5*n + 1855, -3*q = 5*n + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-30283.4.\nAnswer: 60566.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2360.219 or 5?\nAnswer: -2360.219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5*1.682\nAnswer: 8.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z**2 - 11*z**2 + 7*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**2*r**4 - 38608*g**2*r**2 - 6152*g**2 - 4*g - 1 wrt r?\nAnswer: 8*g**2*r**3 - 77216*g**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1 + a - 3 - 2*a. Let w be x(-3). Find the first derivative of 2*k**2 + w - 3*k + 3*k wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 2. Let g(f) = 4*f - 9. Let b be g(0). Let q(s) = 0 + s + 1 + 0. Determine b*q(w) + 4*z(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 649365 and 855.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -55, -75, -93, -109?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 4*s - 7. Let a(u) = u**2 - 2*u + 4. Suppose -4*n - 2 = 18. What is n*a(y) - 3*i(y)?\nAnswer: -2*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13.2 and -134.\nAnswer: -120.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -5*y + 37, -c - 2 = 225*y - 226*y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28749272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -531 = 12*k - 14*k - 3*l, -4*k = 4*l - 1060. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-1 - 3) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(240)\/sqrt(6))\/sqrt(8).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -47, -41, -33, -23?\n\"Answer: c**2 + 3*c - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2100 (b) -2 (c) 2 (d) -249\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**6\/30 + 14*l**5\/5 + 98*l**4 + 5488*l**3\/3 - 35*l**2 + l. Suppose d(r) = 0. What is r?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -294, -281, -266?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*o = -774 - 278, 4*o + 2116 = 4*v. What are the prime factors of v?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 7*l + 16. Suppose 13 + 11 = -2*u. What is the remainder when y(u) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338321 is divided by 5109?\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121513565?\nAnswer: 5, 47, 517079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -490604, -981205, -1471804, -1962401?\nAnswer: -2452996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 18.01385, -1\/10, 32?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x + 4. Let a(s) = -11*s - 9. Suppose 2*d - 5 + 1 = 0. Suppose z + 53 - 11 = 5*u, d*u - 14 = -z. Let n be (-9)\/4*u\/2. Determine n*m(h) - 4*a(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a - 29*a**2 + 30*a**2 + 6*a - 25*a**2 + 7*a in the form y*a + x + z*a**2 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 1216.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/23494562 and 103\/774546.\nAnswer: 70483686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1387 - 1387 + 2*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**2 - 8*p**2 + 15*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 118*g + 6825. Let v be d(-58). Suppose -2*z + x = 0, 5*x = 2*z - 1 + 9. Sort v, 3, z, -1 in descending order.\nAnswer: 3, z, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5, 2\/13, 9, -0.1 in decreasing order.\nAnswer: 9, 5, 2\/13, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 11:03 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93739 + -1836.\nAnswer: -95575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + p**2 + 2*p + 1. Let z(t) = -18*t**3 + 2*t**2 + 4*t + 2. Calculate -8*x(d) + 4*z(d).\nAnswer: -64*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.1 (b) 5 (c) 48.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 6. Let m(d) = d**2 - 5*d - 5. Let j be m(6). Let t = j + 0. Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z - 21. Let p be l(-8). Let r(c) = -6*c**3 + 11*c**2 + 11*c + 7. Let x(h) = -6*h**2 + h + 4*h**3 - h**3 - 7*h - 4. Give p*x(j) + 6*r(j).\nAnswer: -3*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -444 take away -0.072?\nAnswer: -443.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -457060 - 1415940. What is i rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -g + 3 - 9, 2*n = -g + 9. Solve -19*j = -n*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**4 - 46 + 47 - 10*w + w**4 - 2*w**4 to m*w**2 + b + g*w**4 + v*w + t*w**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1138 = -34*x + 152. Suppose -4*r - 50 = 4*f + 34, 3*r + 5*f = -57. Let s = r - x. What is the remainder when 9 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43070764 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 10*q**2 - 10*q + 10. Give i(-8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l - 110787 + 45*l + 88*l.\nAnswer: 117*l - 110787","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13756 minus -4?\nAnswer: -13752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-36))\/(((-2)\/(-1))\/(-72))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -1)\/(-3)*-8. Suppose q*t = 4*t. Suppose -5*c + 12 = -3*c - 2*i, t = -4*c - i + 24. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -3. Let v be 4\/c + 20\/(-6). Let m(l) = 2*l**2 + 2*l**2 - 3*l**2 + 1. Let i(k) = 5*k**2 + 4. What is v*i(n) + 18*m(n)?\nAnswer: -2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 564 a factor of 297689352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + -0.2. Let x = -1 - 0. Which is the closest to x? (a) 4 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.071 - 10.871. Let z = l + -1.2. Which is the nearest to z? (a) 4 (b) -1\/6 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/10 + -2 + 1. What is the closest to -1 in d, 1\/4, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.1, -21.2 in descending order.\nAnswer: 4, -0.1, -21.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369449.\nAnswer: 23, 16063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42331030 - 1?\nAnswer: 42331024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6 = -2*m. Suppose -m = 5*y - 12. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*x**5 + 499*x**4 - 3*x**3 + 30761*x**2 wrt x.\nAnswer: 600*x**2 + 11976*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17443 - -17445. Sort -1, 0, 5, b, 1 in decreasing order.\nAnswer: 5, b, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 divided by -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -212, -13, 9 in decreasing order.\nAnswer: 9, -13, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 82*v + 83*v = -143, 4*n - 3*v = 189. What is the greatest common factor of 816 and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10206 divided by -63?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01086727727 rounded to five dps?\nAnswer: -0.01087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*t + 120 = 125*t. What is the greatest common divisor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*sqrt(4896) + sqrt(4896) - sqrt(4896))\/(sqrt(6)\/(sqrt(3)*-2) + sqrt(2) - sqrt(2)))*-2.\nAnswer: 4 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/9 + 260*w\/9 - 8450\/9.\nAnswer: -2*(w - 65)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*o + 50 = 0, -5*o - 65 = 2*w + 3*w. Let y be 0 + ((-64)\/60)\/w. What is the closest to 1 in y, -3, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*i - 2*i + 77. Let f(u) be the third derivative of i*u**2 + 0 + 8\/3*u**3 + 1\/12*u**4 + 0*u. What is the first derivative of f(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(891) + (-1 + -2*sqrt(11))**2)*-1.\nAnswer: -47 - 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)\/(5*sqrt(192) - sqrt(12)))**2 - ((sqrt(76)*1)\/sqrt(4) + -4))*-1.\nAnswer: -77\/19 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306*h - 48 + 213 + 305*h.\nAnswer: -h + 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.94 + -10. Which is the smallest value? (a) t (b) -0.1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214253016 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47.38 + -47.68. Which is the fourth biggest value? (a) 3\/4 (b) -0.01 (c) f (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - m + 3 = -40, -3*w - 5*m + 17 = 0. Let s(p) = -12*p - 1. Let r be s(-1). Let l = -8 + r. Calculate the smallest common multiple of w and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 + 6*f + 4. Let u(n) be the first derivative of -n**3\/3 - n**2\/2 - n - 147. What is -l(c) - 4*u(c)?\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 3*k**2 + k. Let c be y(-2). Suppose -3*u + c*u = -17. Calculate the remainder when u is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -14. Suppose v = -2*w + 2*m + 30, 4*w + w - m = 91. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/10? (a) -0.01 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22761 is divided by 3252?\nAnswer: 3249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -18*n - 2*n - 9*n + 3*n. Let s(q) = -2*q**2. Calculate s(b(l)).\nAnswer: -1352*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2295486 is divided by 208.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*k - 66*k = -158*k + 82*k + 2448 for k.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffm when three letters picked without replacement from {m: 5, f: 3, j: 1}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 5*c - 2. Let d be l(-2). Let t be (-1)\/2 - (-6)\/(-4). Let g = d + t. Solve -i = -a + 4, 5*i + 12 = g*a - 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855827 is divided by 106978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-11))**(-11)\/(((((w**(-2\/5)\/w)\/w)\/w)\/w*w)\/(w\/(w**(-21)\/w)*w)) assuming w is positive.\nAnswer: w**(-523\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/11)*k**(-2\/9))\/(k**(-4\/11)\/k**(-1)) assuming k is positive.\nAnswer: k**(-103\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320214 (base 5) in base 4?\nAnswer: 12123011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 0, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7410)\/(-624)*192\/120?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23271676, 23271681, 23271686, 23271691, 23271696, 23271701?\n\"Answer: 5*x + 23271671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1373, 2413, 3455, 4499?\nAnswer: 5545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9045)\/20)\/(-9)*1252\/(-939)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 9 = -3*n, h = 4*n - 0*n - 12. Suppose -3*r = 2*r - 40. Suppose -s = n*s - r. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/6 and (-2703)\/3720 - (-34)\/85?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27630.68 millimeters to nanometers.\nAnswer: 27630680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4 + 7 + 7*u + 6*u. Let p(h) = -h - 7*h + h - 6. Determine 6*i(o) + 11*p(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-35))\/((-1256)\/(-6280))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15134 from -24315.\nAnswer: -39449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4465*t + 31676. Determine x(-7).\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + 24 = 21*h. What is the highest common factor of 48 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.927 rounded to 1 dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 40921170*q - 139545179514075.\nAnswer: -3*(q + 6820195)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 62484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.3 + 3.6. Let i = -14 - -68. Let n be 6\/(i\/33) + -3. Sort 3\/2, c, n in decreasing order.\nAnswer: 3\/2, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5 - 44714*r**4\/9 + 3866*r**3 + 54652*r**2\/9 - 3865*r - 9938\/9 = 0. What is r?\nAnswer: -4969, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*k**3 - 5*k**2 + 5*k**2 - 53*k**3 + 265*k**3.\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3202 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 118*g*j**2 - 12*j**2 - 11 wrt g?\nAnswer: 118*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176 (base 15) to base 3.\nAnswer: 110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92284 + 15*u**2 - 6*u**2 - 92284.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3327077 >= -3327077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -16406 > 110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, -6, 3, 0?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 25*l + 49. Let i be r(23). Let z(j) = 116*j**2 + 5*j - 4. Is z(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 238770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 11, 0, -29, -82, -165, -284?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13597480.2 rounded to the nearest one hundred thousand?\nAnswer: -13600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10, -7, 109 in increasing order.\nAnswer: -7, -4, 10, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**4 + 6*g**2 + 3*g + 6. Let n(w) = w**4 + w**2 + 1. Let i = 14 + -20. Let m(c) = i*n(c) + d(c). Find the second derivative of m(y) wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * 2172304.\nAnswer: -32584560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**4\/4 + 3*r**3\/4 + 3*r**2 - 3*r = 0?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1404 + -1404 - (15 - -1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 greater than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.72731 - 3388.66031. Let h = -3368 - z. Let p = 0.067 + h. Sort 1\/16, p, 0.4, -4 in decreasing order.\nAnswer: p, 0.4, 1\/16, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 33, -0.1 in ascending order.\nAnswer: -8, -0.1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -696 + 696.0477. Let r = 0.364 + -0.42. Let t = r + x. What is t rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2159 and 1651.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awr when three letters picked without replacement from {b: 4, x: 1, w: 4, r: 1, a: 3, e: 7}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -78 - 22. Calculate the greatest common factor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(42\/64)*(-630)\/(-120)*2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 15, 40 in increasing order.\nAnswer: -1, 15, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 199\/1680 and 71\/11760.\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*q + 1\/2*q**2 + 0.\nAnswer: q*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-2)*b**8*(b**8*b)\/b**(-4\/7)*(b*b*b\/(b*b\/b**(-2)))**(1\/11)*(b**(2\/9))**40 assuming b is positive.\nAnswer: b**(20353\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1920053.\nAnswer: 71, 27043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s**2 + 5*s + 15. Let t(l) = 3*l**2 + 2*l + 7. Calculate -4*b(u) + 9*t(u).\nAnswer: -u**2 - 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 + 14*c + 31. Give h(-3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -42, -86, -152, -246?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nifgipiiixgxngiigxig. What is prob of picking 1 i, 1 x, and 1 n?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 585\/(-8840) - (-1)\/(-17)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222935 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -16, -5*t - 13 = -3*h - 21. Let n(f) be the second derivative of 5\/12*f**t + 0*f**3 + 0*f**2 + 0 + 27*f. Let c(b) = b. Determine n(c(i)).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 10*g + 39. Let z be u(-4). What is the closest to z in -8, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + i + 2 + 0*i + i**2 + 3*i. Let m be n(-2). Calculate the remainder when (-24)\/10*(-45)\/m is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -27*b**3 - 1. Let d be y(-1). Suppose 4*x + f = -0*x + 14, 5*f = 4*x - d. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khkkkkhkkkkkhkkk. What is prob of sequence khhh?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/5 - 8*v\/5.\nAnswer: v*(v - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*k = -48*k - 4*t + 40360, 5*t - 20183 = -2*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32986 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -530955*z**2. Let q(d) = 10*d**2. Calculate q(a(w)).\nAnswer: 2819132120250*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/7 + 14928*b\/7 + 27855648\/7.\nAnswer: 2*(b + 3732)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/4? (a) -5 (b) -3 (c) -2\/3 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/8)\/(2\/16). Let y be (4\/7)\/(4\/r). Solve -3*h + 3 = 0, 13 = -3*j + 2*h + y*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 6 = 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 602971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 14 (c) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = a, -2*j + 3*a - 2 = -6*j. Let t = 9 + -7. Let y be -6 - j\/(-4)*t. Let s(n) = n. Let b(h) = -6*h + 1. Calculate y*s(u) - b(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + g**2 + 0*g**2)*(0 - 3 + 4) - 48610 - 293*g**2 + 48610.\nAnswer: -292*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 143811 and 261.\nAnswer: 143811","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, 11, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -30, -57, -76, -87, -90, -85, -72?\n\"Answer: 4*u**2 - 39*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1208207 is divided by 587.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1655, 1657, 1659, 1661?\n\"Answer: 2*y + 1653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -6bc?\nAnswer: 6ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 360840.6 litres?\nAnswer: 360840600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 8 = 0, 5*i + 4*k = 21 + 8. Solve 2*x - 5*x - i = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**4\/12 - g**3\/3 - g**2\/2 + 3*g - 23. Give q(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -11. Let g = -348 - -352. Suppose 6*a = g*f + 8*a - 30, 5*f = -a + 30. Solve 4*j = -f*b - d - 0, -4 = -j + 4*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 28 = -3*b - 12, 4*k = 4*b - 24. Let g be (-1)\/(-2) + 2\/(-4). Suppose 2*x - b + 1 = g. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 357 divide 60460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 51*r**2 - 78*r - 99. Let h(g) = -7*g**2 + 11*g + 14. Let i(u) = 15*h(u) + 2*s(u). Determine c so that i(c) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745899333.\nAnswer: 3, 619, 401669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 10*y + 4*j + 5123, -3*y + 5125 = -2*j. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14826723 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*w**2 - 1020*w + 2592.\nAnswer: 4*(5*w - 27)*(5*w - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/9 - 856*u\/9 + 7960\/3 = 0.\nAnswer: 30, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -4 - (-7 - -24 - 14 - 10) - 47.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*a = -86*a + 36278. What is the remainder when a is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-8)\/24 - -5. Let f(v) be the first derivative of -v**3\/3 + 2*v**2 - 8*v + 6. Determine f(l).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (2 - -20 - -4). Let i = -22 + v. Let l(n) = -n**2 + 3*n. Let t be l(2). Solve 4 = -4*q + 2*k, -t*q - i*k - 3 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.93037 millilitres?\nAnswer: 0.00093037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 2. Let d(z) = z - 1. Let r(u) = 3*d(u) - 2*n(u). Let x be r(5). What is the greatest common factor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4)*(-1 + 11). Suppose 5*z + 5*o + 25 = 0, -o = 2*z + 2*z + p. Suppose z = -3*q + q + 24. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {i: 1, j: 6, k: 5, a: 2, v: 1, x: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -115676, -2\/15 in decreasing order.\nAnswer: -2\/15, -27, -115676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7947 or -7944?\nAnswer: -7947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (723 + -23)\/((-1)\/(-86)). What is o rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -8*k + 12. Solve -2*u = k*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3391527?\nAnswer: 3, 827, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/38 and -53\/54?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 23548 (base 9) to base 4\nAnswer: 3312032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-28)\/15))\/(4*47\/(-2632)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-69*u**2 - 72*u**2 + 24*u + 139*u**2)*(-3*u**2 + 1 + 1 + u**2) as h + l*u**3 + k*u**4 + p*u**2 + y*u and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 3. Let a be (-11)\/(-88) - (-78)\/16. Suppose 4*n - 5*c - 56 = 0, -n + 11 = -0*n - 2*c. Suppose -a*d - 11 - n = 0. What is f(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1538*a**3 + 11*a**2 - 69*a + 16. Let c be x(21). Round c to the nearest one hundred thousand.\nAnswer: -14200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303163.8 decades to centuries.\nAnswer: 30316.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -48. Let u(b) = -44*b**3 + 2 + 70*b**3 - b**2 - 1 + 69*b**3. What is the units digit of u(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 - 23 + 70 - 4*c**3.\nAnswer: -4*c**3 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 89 + 3 + (-3 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 8 = -4*m. Let y = m + 11. Let a = y + -25. Round a to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-736)\/920*(-20)\/(-16))\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 11 + 7 = 0. Let i = u + 12. Find the first derivative of -i*p**2 + 1 - 3 + 0 wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0499256 + 0.0514846. Let u = v + -0.1015. What is u rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 25*k - 32. What is b(24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2074 - 2069. Solve -3*v - 8 = s, -3*s = -4*v + g*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8907 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3663396*x**3 + 10708110336*x**2 - 11189245*x + 2923 = 0. What is x?\nAnswer: 1\/1914, 2923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5 = 2*n - 1, 5*p + 15 = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 320, -4, 1 in decreasing order.\nAnswer: 320, 6, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -5 - -2) + 3. Suppose 5*d = -20, 9*n - 1916 = h*n - d. Calculate the greatest common factor of 48 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*i = -14. Let a(q) = -q + 6. Let v(p) = -4*p - 10. Let n(f) = -5*f - 11. Let r(h) = -5*n(h) + 6*v(h). Let z(g) = -4*a(g) - 3*r(g). What is z(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*s**4 - 6*s - 4*s**3 + 4240*s**2 + 39*s + 32*s**4 - 33*s wrt s.\nAnswer: 1008*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3639 divide 514598670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 305051 or 1525256\/5?\nAnswer: 1525256\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2988 = -2982. Suppose 5 = 2*f + 1. Let q be ((-2)\/6)\/(f\/(-30)). Solve -l*b - 4*u = 7, -b + q*b + 8 = -5*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -8. Suppose -3*j + 3*m = -18, -j + 5*m - m + 9 = i. Factor -3*f - 3*f**2 + 5*f**2 + j*f - 4.\nAnswer: 2*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25600064 plus -6128?\nAnswer: -25606192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/3)*n**(-7))**(-27)*n*n\/n**(-7)*n\/n**(-4\/9)*n*n\/(n**(-2)\/n)*n**(-1) assuming n is positive.\nAnswer: n**(2236\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/885, -5, 29487?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/8*12 + 67\/2. Suppose 0 = -3*m + l + 7. What is the remainder when 41 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 11*n - 17. What is d(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 33. Let b = q - -17.24. Let g = b - 0.2362. Round g to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1699 - 1698.99997979. Round u to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -50, 5, 203, -5 in descending order.\nAnswer: 203, 5, 4, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0504584259 to four dps.\nAnswer: 0.0505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/2)\/g**22 assuming g is positive.\nAnswer: g**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/(-9*12\/(-54))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*3\/((-36)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -24. Solve 0 = -5*w + 4*w - 4*f - 17, -v*w - 12 = 2*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*t + x, -t + 4*t = 5*x + 29. Let a = -439 - -444. Let p = -5 + 13. Solve -p + t = -a*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234846?\nAnswer: 2, 3, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 68254 to the power of 1\/2, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 0.3566423.\nAnswer: -0.8566423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47.6 - -0.6. Let f = -48 - c. Let s = 9.4 - f. What is s rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - r + 2*r**4 + (-15*r**3 + 15*r**2 - 15*r**2)*(r + 0*r + 0*r) + 2*r**4 - 3*r**4 + 0*r**4 - 15*r**4 - 9*r**4 + 11*r**4.\nAnswer: -27*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + sqrt(76))**2*-2.\nAnswer: -160 - 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 62. Solve -2*z - 3*z - m = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*b + 2*y + 4, -2*b - 4*y = -12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngag when four letters picked without replacement from {a: 2, n: 7, q: 6, w: 1, g: 4}?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 5*y**2 + 10*y - 113. Calculate m(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/9 and -35\/51.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2479562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -135269, -136123, -138441, -142955, -150397, -161499, -176993?\n\"Answer: -122*j**3 - 135147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b - 69 = -23*b. Let h = b + -22. Is ((h - 2)\/(-2))\/((-3)\/(-1266)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 72, 60, 36, -6, -72?\n\"Answer: -n**3 - 5*n + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6501\/(-6))\/((-9)\/(-6) + -2). Let d = -21693\/10 + h. Let z = -2593\/178 + 6\/89. Find the common denominator of z and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*k - 29 - 123 = 0. Let q(f) = -f**2. Let v(u) = 7*u**2 + 2*u + 3. Calculate k*v(n) + 5*q(n).\nAnswer: 2*n**2 + 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -65*h + 45. Let d(j) = -3*j + 2. Let s(c) = -45*d(c) + 2*x(c). Let p(m) = -m. Give s(p(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0543 + -0.053695. Round j to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/3 (b) -2\/11 (c) -1158 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 + -1.5. Let h(y) = -3*y + 14. Let u be h(0). What is the closest to -1\/3 in c, -4, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l + 2. Let g be h(-4). What is the common denominator of ((-6)\/63)\/((-1)\/(-81)) and g\/3 + (-30)\/(-45)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (0 - 7) + -5 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d. Let z be c(-15). Let n = -16 - z. Let w = 6 - n. Solve 3*g = b - 7, -b - 2*b = -2*g + w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 259*y**3 - y**2 + 199*y + 23. Let p be s(-19). What is p rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153.897*-19\nAnswer: 2924.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2660, 292, 3244, 6196?\n\"Answer: 2952*k - 5612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -255 - 5313a?\nAnswer: -53392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*y**5 + 1500*y**4 - 3*y**2 - 1519521.\nAnswer: 1380*y**2 + 36000*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 + 20*i**2 - 14*i - 30. Let p = -91 - -131. Calculate the remainder when p is divided by n(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**3 + 9*s**2 - 1. Let t(c) = c**3 + c**2 - 1. Let v(m) = -t(m) + w(m). What is the third derivative of v(g) wrt g?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1415358 and -27\/107072?\nAnswer: 45291456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.281.\nAnswer: -0.281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 10 = -15*c. Let h(m) = m**3 - 15*m**2 + 5*m**2 - 3*m + 3*m**c + 4 + 5*m**2. Let o be h(3). Solve -n + 2*n = -l - 3, 3 = -o*l - n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1\/4 (b) 10\/13 (c) -1 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30141 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 3:08 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 380588*x - 380590*x + 33*x**2 + 18*x**2 to the form c + j*x**2 + r*x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 460*i + 2290. What is h(5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3384670 divided by 5.\nAnswer: 676934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -2, 9.179?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102 + 179. Suppose x - 18 = -2*w + 17, -5*w + x + k = 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5471, -5389, -5251, -5057, -4807, -4501, -4139?\nAnswer: -3721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-567)\/693*2\/6*(-242)\/66\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -4. Suppose g - h = -3. Let z be 3\/(g\/(-2 + -2)). Let n(q) = -q**2 - 8*q - 4. Calculate n(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 1:06 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -4*o**3 - o - 257. Let q(m) = m**2 + 1. Give -f(j) - q(j).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 189 = -0*h. Suppose -3*t = -4*t - 4*c + 27, 0 = -4*t - 4*c + 48. Calculate the highest common divisor of h and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*x + 89*x + 25707 = 0. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -25 + 7. Solve -4*l = -n*l - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9609149 months in decades?\nAnswer: 0.0163409575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8908309727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11766180 and 5294781.\nAnswer: 105895620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12455283 by -4.\nAnswer: -12455283\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 27*c + 19. Give g(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 12 = -0*f. Let q be 26\/6 - (-4)\/f. Suppose -20 = -5*x - q*d, 8*x - 4*d = 3*x + 20. Calculate the greatest common factor of 20 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -1\/3255639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 844139339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25840 and 228?\nAnswer: 77520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 123120527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-2)\/14*-9*56\/72\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271578473?\nAnswer: 5483, 49531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egehhehhhb. Give prob of picking 1 b and 1 h.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17830440?\nAnswer: 2, 3, 5, 49529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o**3 + o**2 - o. Let c be (0 - 12\/(-10))\/((-2)\/(-5)). Suppose 0 = c*f - 8*f + 185. Let i = f - 36. Give m(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -0.54. Let h = w + 0.04. Let o be (-9 - (-472)\/56)\/(-2). What is the closest to o in 3, 1\/6, h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79035757*0.4.\nAnswer: 31614302.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 10*s + 45*s - 134280. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**4\/12 + 8962*v**2. Let j(w) = 2*w**2 - 160*w - 2. Calculate j(k(g)).\nAnswer: 8*g**2 + 320*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 12) in base 7?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**5 + 318*j**4\/7 + 834*j**3\/7 - 838*j**2\/7 - 300*j\/7 = 0.\nAnswer: -3, -2\/7, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 - -2704256743.9\nAnswer: 2704256743.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*80\/500*5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3301 (base 10) in base 14?\nAnswer: 12bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/27*(-1 + 5 + -2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -4*i + 12, -9*i + 6*i = 2*b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 b when three letters picked without replacement from xibxqbxx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26924887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 2*i + 0*i + (0*i + 2*i + 0*i)*(1 - 5 + 8) in the form k*i + s and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 41 = -5*j, -4*l - 3*j + 0 = 51. Let r be 3\/12 + (-45)\/l. Suppose -12 = -5*o + 3*u, -4*o + r = -2*u - 6. Solve 2*c = o*c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 490 + -469. Let b = 208 - 147. Suppose 5*t = 20, 3*w - 58 = -5*t + b. Calculate the smallest common multiple of w and n.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271227 is divided by 832.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 4*j - 23, j - 23 = -4*s - 1. Let w = -6 - s. Let r = w + 16. Solve 2 = r*f + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-15472.6\nAnswer: -30945.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 127*i - 122*i + 5*r, -5*r - 28 = -11*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5\/6)\/i)\/i*i**(-2)*i\/i**(2\/9)*i**(-1\/9))**(8\/3) assuming i is positive.\nAnswer: i**(-100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - 35. Let v = s - -56.9999954. Round v to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47*a*n*y**2 - 2*a*n - 1445*a + 8*n*y**4 - n*y**2 wrt y?\nAnswer: 94*a*n*y + 32*n*y**3 - 2*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 6*l + 4. Let t(m) = -5*m**2 + 13*m - 8. Let f(x) = 13*b(x) + 6*t(x). What is the first derivative of f(c) wrt c?\nAnswer: -8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3857 divide 1434570481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/24896 or 0?\nAnswer: 1\/24896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 158945.\nAnswer: 317890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1068 + 484 = 4*k. What are the prime factors of k?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 20. Calculate the remainder when 2*(-13)\/2*-2 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 - (-143 + 34) - (17 - (5 - 2))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 69\/101?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 g when four letters picked without replacement from {c: 8, m: 3, g: 2, d: 6}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -5, -28412?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 24*y**2 - 1213*y + 26*y**2 - 445*y**2 + 20*y**4 - 25*y**3 + 1313*y = 0.\nAnswer: -4, 0, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 16*x - 17*x + 2*m, 0 = -2*x + 5*m + 43. Let f be 18\/8 - (-5)\/(-20). Suppose -f = -4*w + x. Solve -3*q - w = -4*s, -3 - 2 = 3*q - 5*s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -9\/7, 8 in descending order.\nAnswer: 8, -0.2, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a factor of 834104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14900 by 4.\nAnswer: 3725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3*k - 12, -6 = -2*l - 3*k + 2*k. Suppose -z + 0*z = c - l, 3*z = 4*c - 22. Suppose -3*s = -v - 0*v - 20, c*s = 5*v + 23. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -36, 405, -1\/3, -5, 5\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*t**2 - 454738*t + 6199504.\nAnswer: 2*(t - 13361)*(17*t - 232)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*d**3 + 1\/3*d - 1\/3*d**2 + 1\/3*d**4 + 0.\nAnswer: d*(d - 1)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - 2*a)*(2*a**4 - a**4 - 9*a**4) + (-2*a**2 + a - a)*(4*a**3 + 2*a**3 - 4*a**3).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 3*i**2 - i - 1. Let a be j(-3). Suppose a*n = 4*y + 221992, -3*y = -4*n - 148955 + 592949. What is n rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**6\/540 - g**5\/90 - g**3\/3 - 3*g**2. Let r(x) be the first derivative of o(x). Solve r(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 341\/3 - 113. Suppose 7*r + 2*h - 7 = 2*r, -4*h = 4*r - 8. Is p at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxaaxzyy. Give prob of picking 1 a and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 19*o - 62. Suppose 4*m - 28 = 0, -2*m = 4*h + 11 + 31. Give s(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l + 0*l - 8*l in the form p + w*l and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68)\/(-12) - 2\/3. Suppose 5*s + 4*z - 19 = 0, -h*s + 0*z = -4*z - 11. Suppose 35 = 4*m - s*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 2*x**5\/15 - x**3\/6 - 12*x**2. Determine d(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10604, 21218, 31842, 42482, 53144, 63834, 74558?\n\"Answer: j**3 - j**2 + 10610*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/((x*x**(2\/9))\/x*x*x)))**(24\/13)\/((x\/x**(21\/2)*x)\/(x*x\/x**17*x)) assuming x is positive.\nAnswer: x**(-253\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*u = 1184, -2*o + 1988 + 375 = 5*u. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 - (-87)\/(-6)*-4?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/2*(-5 - -35). Suppose 162 = 5*k - 11*h + 15*h, 3*k = -h + 93. What is the greatest common divisor of a and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1053)*-2 + -5 - sqrt(1053) - (4 + sqrt(1053) + -1))*-5 + 5*-3*(sqrt(1053) + -4*2*sqrt(1053)))**2.\nAnswer: 360000*sqrt(13) + 65818900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -196, -204, -224, -262, -324?\n\"Answer: -a**3 - a - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8470 - -12177. Let v = 6166 - n. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -1*sqrt(128) + 5 + sqrt(128) - (sqrt(128) + (sqrt(128) - -2*sqrt(128)))*-1)**2 + -4.\nAnswer: 400*sqrt(2) + 3221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/5))**(-2\/119)*(h**(-2\/5))**(-24) assuming h is positive.\nAnswer: h**(814\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 887972 + -8.35?\nAnswer: 887963.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -77*m + 9. Is 24 a factor of a(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4248 - 128*c - 4248)*(-22 - 4 - 2).\nAnswer: 3584*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2440 - -18824549177.\nAnswer: 18824551617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 31*d**2 - 680*d - 9. Let x be z(22). Let j(u) be the first derivative of 0*u - x - 10*u**2 - 4\/3*u**3. Let j(s) = 0. Calculate s.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41528718 + -191521704. Let g = -149992986.200000129 - j. Let u = -0.2 - g. What is u rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21135 - 7088. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 48, 597, 2106, 5055, 9924?\n\"Answer: 80*i**3 - 11*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*y**3 - 49*y**3 + 93*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 1467980*q**2 + 7339776*q + 8807760.\nAnswer: 4*(q - 366990)*(q - 6)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2859\/23932 + -75\/193. Find the common denominator of -19\/8 and s.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(26) + sqrt(26)*-1*-3)\/(sqrt(4)\/sqrt(32)))**2 - ((2*(sqrt(1573) + 2*sqrt(1573) + sqrt(1573)) - (sqrt(1573) + sqrt(1573) + 1)*5)**2 + 5).\nAnswer: -220*sqrt(13) + 76878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2343*b - 2339*b - 5*w - 60, -2*w + 30 = 2*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.6080021 and 0.09.\nAnswer: 5.6980021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*100\/12 + 2. What is the units digit of 21\/2*126\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13451578 (base 9) to base 16\nAnswer: -656eca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qiq when three letters picked without replacement from {i: 6, q: 4, y: 1, u: 1, n: 4}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7204581?\nAnswer: 3, 800509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -430 - -858. Suppose 140 = -32*b + x. Let c(g) = 2*g - 5. Determine c(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 305 and 361364?\nAnswer: 1806820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -21. What is the least common multiple of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 - 2248*n**3 + 0 + 2 + 2812*n - 2065*n wrt n?\nAnswer: -13488*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, e: 4}. What is prob of picking 1 d and 1 e?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -0.4, -10 in descending order.\nAnswer: -0.4, -10, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 5. Suppose -3*b - 3*i = 3, -4*b + 3*i = -3*b - 7. Suppose -g + 8 = b. Let d be l(g). Solve 0 = -d*o + o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -2\/15152267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -61*s + 7. Let c be u(-6). Suppose 5*f + 2*d = -2*d + c, -5*f - 5*d + 370 = 0. Calculate the highest common divisor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58919411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(3\/5))\/s**27*((s**(3\/8)\/s)\/s)**(-13) assuming s is positive.\nAnswer: s**(-179\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2\/13 (b) 0.01 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40417 - 457?\nAnswer: 37740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 11*y**2 - y - 81. Let z be t(7). Let o = -27 + -67. Let j = z + o. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**7\/105 + k**4\/12 + k**2\/2 - 4*k. Let p(g) be the first derivative of c(g). Find the second derivative of p(b) wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(1 + 4*sqrt(125))**2 + (-2 + (2 + sqrt(125)*-3 - sqrt(125)))**2)*-6.\nAnswer: 1 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2. Let w(p) = -7*p**2 + 5*p**2 + 7*p**2. Let z(q) = 26*j(q) - 6*w(q). Let y(o) = 2*o**2. Determine y(z(i)).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323935343 is divided by 2286?\nAnswer: 2285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 76*o**2 + 36481*o + 478. What is l(-480)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -222 + 224. What is the highest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0074302 rounded to 5 decimal places?\nAnswer: 0.00743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/28)\/(-8) + ((-42093)\/406)\/(-9) + -12?\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v**2 - 35*v - 96. Let n(g) = -3*g**2 - 14*g - 48. Let i(j) = -2*a(j) + 5*n(j). Let c(f) = -2*f**2. What is c(i(w))?\nAnswer: -2*w**4 - 192*w**2 - 4608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**5*l - 2*k**4*l - 4*k**2*l**2 - 132*k*l**2 - l**2 wrt k?\nAnswer: 20*k**3*l - 24*k**2*l - 8*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -9. Let o = 10 + w. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 258*a**4 + 575*a**4 - 1867 + 916*a**4 + 10160*a**2 - 10160*a**2 wrt a?\nAnswer: 6996*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 382357 - 382357. Let g be (-2)\/(-4) - 6\/(-4). Solve g*s = -7*u + 2*u + 10, m = -2*u - 3*s + 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 614841694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 87 = -339. Let g be 1\/((4\/(-2))\/(-2)). Let m(r) = 57*r**3 - 1. Let k be m(g). What is the greatest common factor of k and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 71556*p**2 - 319980540*p - 320052100.\nAnswer: -4*(p - 8945)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120420 and 132.\nAnswer: 1324620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -38. Let b = 3 - -23. What is the remainder when b is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(133) - -2*sqrt(133)) - -1*-2*sqrt(133))\/(sqrt(7) + (sqrt(63) + sqrt(252)\/sqrt(4))\/sqrt(9) - sqrt(343)*1).\nAnswer: 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -114 or -11159\/99?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 4*u + 3*u)*(-2 + 4 + 0) + 6 + 58*u - 118*u + 67*u.\nAnswer: 11*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 7*o**2 - 5*o - 6. Let a be y(-6). Which is smaller: a or -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iib when three letters picked without replacement from {b: 1, i: 13, x: 3}?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2))**(-36\/11)\/(y**(-1))**(-4) assuming y is positive.\nAnswer: y**(-26\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91392.24 litres to millilitres.\nAnswer: 91392240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5685*x**6 + 4*x**2 - 1787?\nAnswer: -682200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2400 and 150?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 13*d - 3. Let q be v(-7). Let b be 40\/q*(-1)\/(-4). Which is greater: -2\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3864 and 75432?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(a**5 - a**5 - a**5).\nAnswer: -2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 19179\/223 and 85 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 150144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {p: 5, u: 2, f: 7, n: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 20\/7. Let t = -411 - -408. What is the smallest value in b, -2\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -59b8 - -871?\nAnswer: -5147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 6*g + 5. Let x be l(6). Let o = -5 + 13. Let v = o + -11. What is the smallest value in v, -0.2, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0450765495 plus -0.1471?\nAnswer: -0.1020234505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0.1, 2, 36, 0.03, 49?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 51 - 43 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436305.\nAnswer: 3, 5, 17, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*k)*(9*k - 9*k + k**4).\nAnswer: 3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 5*f + 11, -f - 2*f + 1 = -o. Calculate the least common multiple of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + -2. Let z = j - -44. What is the remainder when z is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 581.898 millilitres?\nAnswer: 0.581898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + g)*(g + 5*g - 4*g) - 2*g**2 - 5*g**2 + 2*g**2 + 148529 - 291*g**2 - 148529 to l*g + m*g**2 + s and give m.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*1772.\nAnswer: -15948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 3\/25, 17 in ascending order.\nAnswer: -2, 3\/25, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35609.2199 rounded to the nearest 10?\nAnswer: 35610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76164940.\nAnswer: 2, 5, 1823, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5*c - 6 + 4*c)*(-3*c**2 - c**2 + 7*c**2).\nAnswer: -3*c**3 - 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-13) - 24669\/(-117). Suppose -4*u + s = k, 121 = 2*u + 4*k + 33. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1531, -3062, -4593, -6124, -7655?\nAnswer: -9186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12186936?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13463.\nAnswer: 13463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*j**3 - 3*j**2 + 4*j**2 - j**2.\nAnswer: 33*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5\/7 - 3*a**4\/7 - 3*a**3\/7 + 3*a**2\/7.\nAnswer: 3*a**2*(a - 1)**2*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j + 4*y - 2 = 0, -3*j = 3*y + 9. Let t be 41659 + 1 + 0 + j. Suppose -t = g + 16342. Round g to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 10. Let j(r) = 3888*r + 8. Let q be j(n). Round q to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 4*z. Let b be v(-3). Let n = b - 3. Solve 8*i - n*i = 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -5\/2, 0, -15?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16154149 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2459 by -11516.\nAnswer: -2459\/11516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 493 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19080521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 + -5)*(-367)\/2 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1870 and 11004610?\nAnswer: 121050710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**3 + 0*l**3 - l**3 + (l**3 - 4*l**3 + 2*l**3)*(-7 + 8 + 2) in the form t + b*l**2 + r*l + k*l**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least 85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - 2*t - 2. Let n(b) = -2*b**2 + 3*b + 3. Determine 3*m(h) + 2*n(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*w - 11*w + 14*w to g*w + r and give g.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -972 - -1232. What is the highest common factor of 20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -4*x + 5*m - 4, -2 = -4*x + 3*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**3 + 539*t**2 + 934*t + 34. Calculate b(-133).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -21. Let u = -6 + i. Solve -4*b + 27 - u = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*p - 1 + 55, p - 19 = -2*b. Let z(x) = 3*x + 19 + p - 36. Let t(s) = 9*s**2 - 3*s**2 - 4*s**2. What is t(z(i))?\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 219 divided by -4\nAnswer: -219\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (736\/(-90) - (-138)\/(-621)) + 77\/55\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 - -36939.\nAnswer: 36939.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 212, 202, 192, 182, 172?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -78016680 divided by 3?\nAnswer: -26005560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 10.82. Let c = p + -0.13. Round c to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6*a**4 + 3*a**4 + 2*a**3 - 2*a - 8*a**4 to k*a + i*a**3 + d*a**4 + w*a**2 + s and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93d7 (base 14) to base 13.\nAnswer: -b796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/6845 and -52\/25.\nAnswer: 34225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrmkmmhmjmmmjmmmr. What is prob of sequence rkj?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12482 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.04622494 to 2 decimal places.\nAnswer: -27.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1335 and 252?\nAnswer: 112140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1215160 and 42840?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/13, 550\/39, -3 in descending order.\nAnswer: 550\/39, -2\/13, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -3863*o**4\/3 + 1475*o**3\/2 - 4768*o + 1. Find the second derivative of c(h) wrt h.\nAnswer: -30904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*3327\nAnswer: -99.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*l - 3*k + 30325, -5*l - 50538 = -2*k. Let y be (28\/(-6))\/(1\/(-3066)). Let s = y + l. What is s rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162815275?\nAnswer: 5, 7, 19, 23, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = i + 6, -3*s + 0*s + 12 = -3*i. Let t(h) = h**2 - 1. Let j(g) = 4*g**2 + 2*g - 2. Determine s*j(w) - 3*t(w).\nAnswer: w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25410947 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7127.04 - 11129. What is t rounded to the nearest 10?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 2, 1, -4, 13, 493.\nAnswer: -69, -4, 1, 2, 13, 493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 24*t**2 + t - 2. Let c(d) = -33*d**2 - 4*d - 3. Determine -2*b(q) - c(q).\nAnswer: -15*q**2 + 2*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -378 divided by -3119\nAnswer: 378\/3119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 6*y**2 - 7 + 5*y**2 + 7*y. Let o = -1 - 6. Let k(r) = -9*r**2 - 5*r + 5. Give o*k(f) - 5*n(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 2:53 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 202 + -199. Differentiate -64 - 14 - j*r + 3*r - 65*r**3 wrt r.\nAnswer: -195*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -13*s**2 + 13*s. Let j(k) = -7*k - 4. Let f(z) = 4*z + 2. Let n(m) = 2*f(m) + j(m). Give n(w(x)).\nAnswer: -13*x**2 + 13*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 2060 = 2100 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.0714 (c) 0.4 (d) -2\/51 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-13)\/((g*g**11)\/g))**42)**44 assuming g is positive.\nAnswer: g**(-44352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -14. Let s be -3*m - (-3 - 5). Suppose -5*x = -c - 95, 0 = -s*x - c + 11 + 74. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 4\/3*b + 0.\nAnswer: -2*b*(3*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 0*x**2 - 9*x - 13\/6*x**3 + 0*x**4 - 9\/10*x**5 + 0. What is the second derivative of t(a) wrt a?\nAnswer: -108*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2662\/44*(-18)\/(-132)*(-16)\/6.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-3)*p)**(-3\/5)*(p*p**17*p)**30 assuming p is positive.\nAnswer: p**(2832\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 55123445.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1 (b) 0.0574 (c) -47 (d) -4.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87904, 87769, 87634?\nAnswer: 87499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52571739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/63*6)\/(1\/(18\/12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -213*x. Let k(h) = -6*h + h + 15*h + 2*h - 4*h. Calculate k(q(y)).\nAnswer: -1704*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133.83623 + -0.25377. Let d = 135 + b. Round d to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/30*(-2)\/201)\/(1577\/4731).\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lslo when four letters picked without replacement from {l: 2, b: 1, s: 2, q: 1, o: 2, m: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1782.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 - 144482\nAnswer: -144481.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12 + 5*y**2 - 5 + 2 wrt y?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286\/33*3\/7 - 4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - g**4 - 1 + (-4*g + g + g)*(0*g**3 - g**3 - g**3) + 804*g**4 - 802*g**4 - 3*g**2 - 3 + 0*g**3 + 2*g**3.\nAnswer: 5*g**4 + 2*g**3 - 3*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**0\/a))\/a)\/a)**(-23) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4223910?\nAnswer: 2, 3, 5, 140797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 210677911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -15. Let v = -9 + h. Let z = 0.1 - 0.2. Put z, v, -0.2 in descending order.\nAnswer: z, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/(-4)*3308\/(-10751)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -679 * -0.0091\nAnswer: 6.1789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5 - (-1)\/15. Let d be (2 - 1\/1)*(-3 + 2). What is the nearest to 0.2 in -2, d, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**5\/240 + 491*g**4\/48 + 241081*g**3\/24 - 4278*g**2. Solve x(m) = 0 for m.\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 16*z. Let m(l) = 3330*l - 13. Let h(u) = 2775*u - 11. Let a(i) = 13*h(i) - 11*m(i). Give a(x(w)).\nAnswer: -8880*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 11*t**2 - t - 11. Is q(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 472\/172*46\/(-552) and 125\/42.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from {z: 5, a: 1, y: 1, l: 2, e: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 24273765835158?\nAnswer: -24273765835157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -196 + 172*o + 241\/2*o**2. What is the first derivative of f(g) wrt g?\nAnswer: 241","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 0*c**5 + 0*c**6 + 0*c**2 - 2*c**4 + 1\/7*c**7 + 0 - 26*c + 0*c**3. What is the third derivative of f(b) wrt b?\nAnswer: 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 - 0.1. What is the closest to m in 11, -2\/21, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6366*r**3*v**4 - r**3*v**2 + 115*r**3 - 86*r**2*v wrt v.\nAnswer: -76392*r**3*v**2 - 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0271 + -19.6671. Let j = i + 20. Round j to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -48*b + 674. Calculate the remainder when 6421 is divided by l(11).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -3, -14972, 56 in decreasing order.\nAnswer: 63, 56, -3, -14972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5559, 5562, 5565?\nAnswer: 5568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2074.\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.14 - 0.19. Let q = f + 0.06. Which is the nearest to -0.1? (a) q (b) -2\/11 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qki when three letters picked without replacement from rrqqqmqqzikmk.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 71\/24, -2, 0.4, 1\/3, 16\/7, -3 in decreasing order.\nAnswer: 71\/24, 16\/7, 0.4, 1\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 836.6459m in centimeters?\nAnswer: 83664.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 11. Let f = -146 + -221. Let t = -365 - f. Solve -t*l = -l + o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -291\/2 (b) -1.8 (c) 0.303\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1 - (-3153 + 5\/(-15)*-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/84 + 40\/(-42))*-1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14, -18, -12, 10, 54, 126?\n\"Answer: f**3 - f**2 - 8*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53854329 is divided by 21078.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5782)\/4*-4 + -3. Let o be 0\/2 - (2 - t). Let y = 677 - o. Round y to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 2\/15, 0.2, -4\/3, 3, -0.04?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 530, 464, 408, 374, 374, 420, 524?\nAnswer: 698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 9\/4*w**2 + 0 - 2*w**3 - 1\/4*w**4 + 0*w = 0?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 10*l - 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 6*n**2 - 4*n - 3. Let z be w(5). Suppose 5*i - z*i = 0. Solve -3*v - 2*q = 9, -5*v - 3*q + 0*q - 16 = i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345035191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2199261963 to the nearest integer?\nAnswer: 46896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -85*g*q**2 - 341*g + 988*q**2 - 116 wrt q?\nAnswer: -170*g*q + 1976*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -15958, -2 in descending order.\nAnswer: 0, -2, -15958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 152*t**4 + 153*t**4 - 304*t**4 - 3*t**5 - 24*t**2 + 6*t**5 wrt t?\nAnswer: 180*t**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 8*m**4\/3 - 1805*m. Let c(q) = -5*q**2 - q. Give k(c(h)).\nAnswer: 800*h**4 + 320*h**3 + 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 22*l + 45. Let u be q(-25). Let y be (2\/(-36))\/(15\/u). Let m = -2 + 1.8. Which is the closest to m? (a) -3 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110 + -1010001110100?\nAnswer: -1010000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i. Suppose 5*t - 5 = 4*j, 2*j + 4*t + 22 = 26. Let p(y) be the third derivative of -13\/24*y**4 + 0*y**3 + j*y + 0 - 24*y**2. What is p(q(m))?\nAnswer: -39*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256 by -2.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7547 - -7549. Let x(r) be the second derivative of 13*r**i + 3\/5*r**6 + 0*r**5 + 0*r**4 + 0 + 0*r**3 - 34*r. What is the derivative of x(a) wrt a?\nAnswer: 72*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**3 + 39*m**2\/2 - 36*m - 14. Let q(r) = 0. Calculate r.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414545563?\nAnswer: 179, 2315897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.5 * 3.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + t + 4. Let p be (-6)\/(-4)*(15 + -21). Let n = -9 - p. What is i(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 122533619 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijs when three letters picked without replacement from {j: 1, s: 1, i: 2, g: 3, n: 7}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.84501 rounded to zero decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1641*i**3*k + 33*i**2*k + 3*k wrt i.\nAnswer: 9846*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 25*f**2 + 32*f + 231. Give i(-26).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/24)\/(1\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*i + 13*i - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -333.6832 to one dp.\nAnswer: -333.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14685 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78395413, -78395419, -78395425?\nAnswer: -78395431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -10000110011000011001001101100?\nAnswer: 10000110011000011001001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + 0. Let m = 0.04 + v. Put 3\/4, -3\/5, m in decreasing order.\nAnswer: 3\/4, m, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/330 and 64\/77?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43719 + 2672711.\nAnswer: 2716430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96874317?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o + 9. Let x be 51\/34*(5 + -7). Give t(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 0.2, -1897, 0, -2, 286 in decreasing order.\nAnswer: 286, 0.2, 0.02, 0, -2, -1897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = -3*k. What are the prime factors of (-4)\/(32\/(-30))*k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 5*s**2 - 6*s - 1. Let b be g(6). Let d be (-2)\/6 - b\/3. Solve i + i = d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10344 (base 6) to base 15.\nAnswer: -657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 981 + 297 = 0. What is the remainder when v is divided by 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1555, -2, -1.\nAnswer: -1555, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -65435.\nAnswer: -65435.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 396165007 to the nearest integer?\nAnswer: 19904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138245265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135317 is divided by 84?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2801687010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + 3*k**2 - 3*k**2 + (3*k - 3*k + k)*(k - k - k) + (-2 + 2 - 5*k)*(21*k - 23*k + 3 + 53).\nAnswer: 11*k**2 - 280*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 263, 406, 549, 692, 835?\nAnswer: 978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 - 2*h**2 - 9*h**2 + h**2 + 159 - 521.\nAnswer: -5*h**2 - 362","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 522*z - 172*z + 466*z.\nAnswer: 816*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -59.418407 from 4.\nAnswer: 63.418407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79405434, 79405435, 79405436, 79405437, 79405438, 79405439?\nAnswer: 79405440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 21*v**2 - 22*v + 45. Let r be p(20). Suppose i - 4 = r*d - i, -2*d + 2*i = 4. Solve -2*h + 9 - 15 = d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 divided by -204.\nAnswer: -19\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkkw when four letters picked without replacement from jkkkkwwkukuuwuu.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**5 - 5125*a**4*l**2 + 5*a*l**2 - 16*a*l - 2*l**2 + 3*l + 8 wrt a.\nAnswer: -20*a**3 - 61500*a**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 7*s + 18. Does 23 divide y(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**5\/135 + 4*y**4\/27 + 32*y**3\/27 - 9*y**2. Factor o(h).\nAnswer: 4*(h + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 935 + -5476?\nAnswer: -4541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.02828.\nAnswer: -0.008484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**3 + r**3 - 2*r**3)*(r + 0*r + r) + 4*r - 9*r - 5*r + 2*r**4 in the form n*r**2 + g*r**3 + u + l*r + b*r**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7 - 5*y + 4 - 609*y.\nAnswer: -614*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 12, -55, -2, -273 in decreasing order.\nAnswer: 12, 4, -2, -55, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 54, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*u + 29358 = 46557 for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -581\/3 - -195. Let n = 0 - 0.1. Which is the closest to n? (a) -3 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03762733 rounded to four dps?\nAnswer: -0.0376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/4 - -7 - 0. Is 10 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b - b**2)*(-1 + 2*b**2 + 1).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-1))**(-17)*(c**(-2\/5))**14 assuming c is positive.\nAnswer: c**(-113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -18922ab (base 13) in base 15?\nAnswer: -a92d1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssnusuuuunsuunssss. Give prob of sequence sun.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-6534)\/154)\/27*21\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 13*k = -70. Suppose -k*p + 53*p - 6732 = 0. Calculate the highest common divisor of p and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-22)\/(-8)*66\/(-33)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1380252 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - -4 - (4 - 2). Let m be 0 - h - 1 - 1420001. What is m rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216426 = 4177*y + 976*y for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 9 = -2. Let m(n) = n**3 + 8*n**2 + 7*n - 1. Let u be m(z). Sort u, -2, 5.\nAnswer: -2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585365475.\nAnswer: 3, 5, 7804873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 19*l - 21*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 237, 239, 241?\n\"Answer: 2*s + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 8*h**2 + 9*h + 9. Give q(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20 - -26)*(-1)\/33. Let m = 7 + -6.9. Which is the nearest to m? (a) g (b) 1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + -1 + (3 - -1) + 2. Let m(z) = z**3 + 3*z**2 + 5*z - 5. Is m(o) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(15\/8)\/f**0*(((f\/f**(-18\/7))\/f)\/f)\/(f\/(f\/(f\/(f**6\/f)))))**(2\/47) assuming f is positive.\nAnswer: f**(417\/1316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -6. Suppose -g*a = 3*a + 60. Let h = 51 + a. What is the remainder when h is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**0)\/t)**34*(t**(3\/2)\/t)\/(t*t*t**6*t*t) assuming t is positive.\nAnswer: t**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3366\/144 + -31 - -7)\/(170\/24).\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 44. Let t be (-12)\/(2*(-2 + 1)). Let n(k) = 2*k - 10. Let y be n(t). Solve q + 2*h + 2 = 0, 0 = -y*q - 5*h - 0*h - v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212010 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/((-10)\/12) + 2. Let z = -12 + b. Let x = 5 - z. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 y when three letters picked without replacement from {x: 4, y: 1, u: 2, h: 2, n: 1, m: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/6)*((-15)\/(-2))\/((-75)\/50)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8253601 is divided by 4126795.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2153 = -2*m + 11085. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -314537 (base 9) to base 10.\nAnswer: -187063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*r + 110 - 102 + 144. Which is the fourth biggest value? (a) -5\/6 (b) -3.2 (c) r (d) 1\/42 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.165 - -1.3. Let u = -0.135 + q. Put 2.1, u, 5 in descending order.\nAnswer: 5, 2.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usk when three letters picked without replacement from {m: 1, p: 1, k: 2, e: 2, u: 5, s: 4}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475*o + 2539*o - 1509*o - 1518*o.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 1:07 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(4*sqrt(72)\/sqrt(8)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40782 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*p - 5*v - 10, 10 = -p - 5*v. Solve -4*l - 4 = 2*q - p, -2*q + 5*l = 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(126) + (sqrt(126) - (-2*sqrt(126) + sqrt(126))))\/(sqrt(7) - (sqrt(7) - -2*sqrt(343))).\nAnswer: -9*sqrt(2)\/14 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 11*k - 7. Calculate the remainder when 175 is divided by g(6).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 y when three letters picked without replacement from iihyiiiihfiiriiyih?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 2*b + 4. Let r(p) = p - 1. Suppose -n + 12 = 5*c - 1, 0 = -3*n + 9. Give c*r(h) + s(h).\nAnswer: -h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 2:59 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0657, 4, 0.17, -9?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -615382092 divided by -21606.\nAnswer: 28482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/5 + 678*d\/5 + 676\/5.\nAnswer: 2*(d + 1)*(d + 338)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 214*d**4 + 3*d**3 - 36*d**2 + 54 wrt d?\nAnswer: 5136*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-111*j - 15 + 15)*(2 + 5 - 2 - 2) to the form d + q*j and give q.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15480\/43)\/(-5)*13\/130?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -92*a. Let x(y) = 23*y. Give -6*u(i) - 26*x(i).\nAnswer: -46*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530 = -1913*x + 1912*x - 5*f, -3*x - 1630 = -5*f. Which is the closest to 1? (a) -2\/3 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1123*s - 3. What is the hundreds digit of g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvrm when four letters picked without replacement from {n: 2, r: 1, v: 1, m: 5, i: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3438148 to the nearest integer?\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4703*g = 4717*g + 322 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/3 - 392*k**2 + 34782*k + 21860828\/3.\nAnswer: 2*(k - 341)**2*(k + 94)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51319 - 19997 = -1078*k + 1071*k. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226136545 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1122\/6545)\/(6\/(-10))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, k: 2, b: 1, s: 3, q: 2}. What is prob of picking 2 o?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 389*u**2. Let z(l) = 3*l**2. Give q(z(i)).\nAnswer: 3501*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let j be h(5). Suppose -4*k + 462 = -x, j*x + 470 = -0*k + 4*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**4\/6 - o**3\/3 - o**2\/2 + o - 1. Let z(i) be the first derivative of n(i). What is the units digit of z(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 15*z**2 - 7*z + 24. Let k be j(3). Is 144 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066589867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 283850 + -283855. Let n = 1.96 + -2. Which is the closest to 0.3? (a) 2\/7 (b) v (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5970294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.827089nm in micrometers?\nAnswer: 0.009827089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3*k + 2, 2*u - 14 = -u - 5*k. Let t be (u\/(-10))\/(20\/2). Let i = 3\/25 - t. Which is the third biggest value? (a) 0.1 (b) 0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5833\/194 + 42\/97. Suppose s = -z + 528, -534 = -z + s - 0*s. What is the common denominator of m and (-3)\/5 - z\/(-110)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8105*x + 397153. Determine p(-49).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 18*x + 27. Let l be (-73)\/(-5) - (-18)\/45. What is the hundreds digit of b(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 + 0 + q.\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53196 = 27426*d - 27422*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -367 + 183. Let z = 184.0131 + p. What is z rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 181878545.45 and 0.1.\nAnswer: 181878545.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -456 - -1789\/4. Calculate the common denominator of h and 11\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 2005*q**3 + 2*q + 1013*q**3 + 1038*q**3.\nAnswer: 46*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q + 1 = -27. Let k be (36\/63)\/((4\/7)\/q). Let b(d) = d**3 + 3*d**2 + 4*d + 3. What is b(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -s - 2388*m + 2392*m, 0 = 4*s - m + 22 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 465782 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15.4 * 1.57\nAnswer: -24.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 13005, 1, -103 in decreasing order.\nAnswer: 13005, 1, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23255, 23231, 23207?\n\"Answer: -24*g + 23279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.968 + 5. Is 0.2 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2624, -79, -1, -2 in decreasing order.\nAnswer: 3, -1, -2, -79, -2624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3047, 3049, 3051, 3053?\n\"Answer: 2*q + 3045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxxox. Give prob of picking 2 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47.899 - -0.101. Let j = -22.9 + s. What is j rounded to 0 dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j**3 + 12*j + 20. Let c(f) = -13*f**3 - 22*f - 38. Let w(m) = 6*c(m) + 11*v(m). What is w(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*-1 - (-2 - 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1 + q**2 + 14*q + 0*q**2 - 15*q. Let w = 2046 + -2044. Determine j(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1204\/387)\/((-10)\/(-45)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 5.08. Let h = w + 0.08. Let g(j) = -j**2 - 3*j - 1. Let p be g(-3). Is h smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 3192.6, 0.2008?\nAnswer: 0.2008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bttj when four letters picked without replacement from {d: 4, j: 2, b: 1, m: 1, t: 2}.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**4\/6 - 2*i. Let u(l) = -2*l**2 - 10*l**2 + 12*l**2 - 5*l**2. What is u(p(f))?\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 682\/121*(-836)\/(-152).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -1\/4*v**4 - 5*v - 1 + 0*v**2 + 0*v**3. Determine o(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*l - 15. Suppose p - l = -2. Suppose c = p + 6. Solve -2*n + c*n = 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-4)*(-160)\/144. Solve -9*o = -p*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -1.4988.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1243673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 6:34 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39754 and 1403622?\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 69\/1035*(-10 + 2*-1). Suppose 0*f + 4*f - i = -7, -3*f + 5*i - 1 = 0. Which is bigger: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377 = -4*k - 0*w - 3*w, 3*w = 2*k + 211. Let s = 182 + k. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 119866 in 2\/3, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.01, -2\/9, -5, -1\/9?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 168277\/4 or 42069?\nAnswer: 42069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4c6b1 (base 13) to base 15\nAnswer: 2c011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 4*u + 21 + 7, 47 = 2*a - 0*a - 5*u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**4\/3 + 12*a**3 + 232*a**2 + 1216*a\/3 = 0.\nAnswer: -8, -2, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4176849 or 8353697\/2?\nAnswer: 8353697\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8894, -17789, -26684, -35579, -44474?\nAnswer: -53369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvp when three letters picked without replacement from vpvpvpvppp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -23\nAnswer: 1.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.2, 41, 5, -2, -16 in descending order.\nAnswer: 41, 5, 0.4, 0.2, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -28*r**4 - 408*r**3 + 4688*r**2\/7 + 480*r + 512\/7 = 0.\nAnswer: -16, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c - 7. Let m(w) = -14*w - 13. Give 11*d(b) - 6*m(b).\nAnswer: 7*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 0*j + j)*(-2 + 2 + j + (4 - 3 + 2)*(5*j + 4 - 4))*(-1 + j + 1) in the form f*j**3 + q*j**2 + s + i*j and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102670?\nAnswer: 2, 5, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10 + -27 - -13749 - 1*8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 866437*z**4 - 11*z**2 - 30707*z?\nAnswer: 20794488*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2 - 3 + 5 - 3*j. Let c(k) = 4*k**2. Give t(c(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 204 - 214. Let i be (25\/s - 8) + 8. Which is the third smallest value? (a) -4\/3 (b) 1 (c) 0 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -117657*t + 235302. What is f(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/50*10*(-1 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7 + -3.7. Let a = -0.46 + 0.5. Let p = -1.04 + a. Sort p, r, 0.2 in ascending order.\nAnswer: r, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 15*q + 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u**2 + 23*u**2 + 33*u**2 + 28*u**2 + 27*u**2 - 131*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -4*j + 344 - 372, -4*r - 19 = j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r = 24*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**6\/240 + j**5\/30 + j**4\/16 + 2*j**2. Suppose m(i) = 0. Calculate i.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-34))\/((-10)\/(-105)). Let n = 1\/17 - y. Put 0, n, -2\/9 in descending order.\nAnswer: 0, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/24*28\/(-21). Let n = 1.7 - 1.3. Sort -3\/2, n, g.\nAnswer: -3\/2, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 + 57. What is the third derivative of -83*y**q - y + 80*y**2 + y + 28*y**4 wrt y?\nAnswer: 672*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -35 - (21 + -1 + -16).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/18*(-7704)\/5580 - (-10)\/(-155).\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 211, 481, 861?\nAnswer: 1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*(s**(3\/10)*s)\/s)**17 assuming s is positive.\nAnswer: s**(-799\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202.37 + 100458.\nAnswer: 100255.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or -137?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/10 + 6\/4. Suppose 0 = -4*z - 3*a + 32, 4*z + z + r*a - 33 = 0. Solve z*q - 2*q = 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 10*w + 4*b + 164, 76 = w + 4*b. Let v = -36 - -52. What is the remainder when w is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 - 146 = -2*x. Suppose -x = -2*d + 770. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933 a factor of 4763224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 8*q - 10. Let k(l) = 3*l. Give t(k(n)).\nAnswer: 9*n**2 - 24*n - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537*g**3 - 1033*g**3 + 546*g**3.\nAnswer: 50*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 33*v**2 + 89*v + 21. Determine h(30).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 484676 a multiple of 378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-77)\/(-11) + (-3)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1946 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g + 5 = -4*x, -5*g = 3*x. Suppose 5*y + g*z = 0, 8*z = y + 4*z. Let w = -558 + 22880\/41. Which is smaller: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggco when four letters picked without replacement from ccoogooggg.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/4, -0.011, -0.4, -0.1 in ascending order.\nAnswer: -2, -0.4, -0.1, -0.011, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-9))\/4*2\/3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7 = -10, 4*l - g - 9529 = 0. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 14 - n - 31)*(19 + 55 - 44).\nAnswer: -30*n - 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72143*m**4 - 32*m**2 + 8289882*m.\nAnswer: -865716*m**2 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m = 23*m - 2*r - 5, -r + 33 = -36*m + 2*r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 1, w: 3, v: 2, u: 3, g: 2}. What is prob of picking 1 l and 1 c?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2431 + 1647. Let f = -537 - p. Is f\/3 - (-4)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 899.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.07, -1\/6, -1, -1\/3, 3, -101, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 8:28 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = -7. Let x(l) = 87978*l**3 + l**2 - 2*l - 1. Let h be x(j). Let a = 1650392 + h. Round a to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 5*t**2 + 17*t - 1. Let b be y(-4). Let q = -272 - b. Put 28, 0, q, 3 in decreasing order.\nAnswer: 28, q, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-78)\/(-4))\/(-39)*(0 - 0). Solve 3*w + 5*r + 3 = -b*r, -1 = w - 3*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**3\/3 + 2*w**2 + w + 20. Let p(f) = 2*f - 5. What is 6*p(l) + 7*q(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4127629 is divided by 1394.\nAnswer: 1389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1 - 2*s + 2*s**2 + 2*s + s + 9*s**2. Calculate a(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 6*x. Let j be w(-9). Let v be (3\/4)\/(2\/8). What is the highest common factor of v and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -l + 1, c + 5 = 5*l + 4. Suppose -4*f - 4*t + 244 = l, f = t + 2*t + 41. Calculate the greatest common divisor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3.2. Let f = 7 + -7.1. Let p = s + f. What is the nearest to p in -1, 2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 116, 315, 690, 1301, 2208, 3471?\nAnswer: 5150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 681032 and 340516.\nAnswer: 681032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6066763 to the nearest integer?\nAnswer: 2463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.12622 + 1.15102. Let o = 1507 - 1547. Let s = b - o. What is s rounded to three dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d - 10. Calculate h(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -740 + 741. Sort a, 19, 6, 0.\nAnswer: 0, a, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/12 - (-142)\/(-4). Let x = y + 38. Let g = 3 - -2. Calculate the smallest common multiple of g and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:07 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3672541203 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 207\/9224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from qjjjvjvuvqpjuj?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**2 + 8*q + 167. Let i(d) = d**2 - 4*d - 84. Let f(l) = 11*i(l) + 6*v(l). Differentiate f(p) with respect to p.\nAnswer: -14*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/3))**(-4\/15)*(c*c\/(c**(-2)*c)*c)**(1\/13))**(-5) assuming c is positive.\nAnswer: c**(80\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315 and 1125.\nAnswer: 7875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y*z**5 - 80*y*z**2 - y*z - 49*z wrt z?\nAnswer: -20*y*z**3 - 160*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or -18?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -868562*m**2 + 1737382*m**2 - 868842*m**2.\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 121021 (base 5) to base 15\nAnswer: 150b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11116 and 74040500.\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, t: 2, u: 1, m: 3}. Give prob of sequence mtmf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**7\/84 - i**6\/30 + i**5\/40 - 2*i + 3. Let r(h) be the first derivative of d(h). Factor r(g).\nAnswer: g**3*(g - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3 + 2*k**2 + 16*k - 24 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-2))\/(8\/(-8)). Suppose -k - 3*k - 4*w + 12 = f, -4*w + 13 = 5*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 369.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1956 is divided by 177.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 0.22. Let d = 4.92 + l. Which is the biggest value? (a) -2\/3 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 - -1a621?\nAnswer: 1a638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*h + 7549 = -294*h - 485*h - 49553 for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 22*l - 9. Let f be q(-5). Let w = f + 116. What is the smallest value in -1, 3, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2027149, 2027148, 2027147, 2027146, 2027145?\nAnswer: 2027144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-20)*(-1)\/(9\/12). Let s(o) = -7 + 2*o - h + 8. Let t(l) = -5*l. Determine t(s(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18349?\nAnswer: 59, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 33515 + 24985. What is the smallest common multiple of v and 225?\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 49 = -5*b, 147*b + 51 = 5*l + 163*b for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 144*z**2 - 3*z - 2. Let k(s) = 143*s**2 - 3*s - 3. Calculate -2*k(b) + 3*w(b).\nAnswer: 146*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9850 + 2*s + 6099 + 6090 - 2*s - 22039 + 20*s**3.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -1.88, 2\/59, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 14*j - 33. Let v be k(-9). Let h = v + 108. Calculate the remainder when h is divided by (3 - 5)*38\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 10:09 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 0*d**3 + 0*d + 7\/60*d**5 + 4*d**2 + 0 + 13\/24*d**4. Find the second derivative of t(w) wrt w.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 4:24 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*x, 2*x + 141 = c + 4*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 18*y. Let x(v) = -5*v. Let h(l) = -81*l. Let t be 60\/(-150)*(0 + 5*-1). Let w(q) = t*h(q) - 33*x(q). Give w(g(b)).\nAnswer: 54*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (1\/3)\/(7\/(-210))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/9 of a day in minutes?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 155451100 to the nearest 1000000.\nAnswer: 155000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4321 (base 5) in base 8?\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 96, 233, 370, 507?\n\"Answer: 137*a - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-620)\/31 - -33) + 2466\/(-262). Does 3 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o + 9. Let v be k(-1). Solve a = -5*f - 5 - v, f + a = -6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**7*r)*r**(-4))**(-31) assuming r is positive.\nAnswer: r**341","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + 5*k - 6. Let q(x) = x - 1. Let w(c) = -4*c + 15. Let p be w(5). Calculate p*q(g) + d(g).\nAnswer: -2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*-99290\nAnswer: -13900.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8448)\/(-121) + (-2)\/(-11) is divided by 68?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.9669 - -0.0331. Sort -1\/7, 4\/3, -3\/8, g.\nAnswer: -3\/8, -1\/7, 4\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10420*d - 464 - 46 = -10369*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 174\/5 + -198\/5. Find the common denominator of z and (54 - 1)*(-2)\/22.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1097 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/57)\/f)**(-31)*(f*f*f*(((f*f**(-11\/5)\/f*f)\/f)\/f)\/f*f*f)**(-1\/71) assuming f is positive.\nAnswer: f**(21782\/20235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 - 7. Let n(r) = -4*r**2 + 6. Let y(f) = 6*h(f) + 7*n(f). Let q(c) = -174 + 13*c + 17*c + 174. Give q(y(d)).\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6341531 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1633*1.4927.\nAnswer: -0.24375791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(0 - f**3 + 0) + (3*f - 3*f + f**3)*(-1 - 170 - 155) + 2 - 2 + f**3 + 3*f**3 - 3*f**3 - f**3.\nAnswer: -327*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2556 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-3 - 9\/(-2)). Let p be (1\/6)\/(4\/w). What is the smallest value in -3, p, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(12\/1))\/(10\/(-160))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1. Let y(o) = -21 + 1 + 2 + o. Let p(n) = 6*f(n) - y(n). What is p(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113270 (base 10) in base 3?\nAnswer: -12202101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**4\/5 + 32542*v**3\/5 + 32536*v**2\/5 - 13016*v = 0.\nAnswer: -16270, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 7 = -4*c, -22*c + 25*c = -y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158916 by 39729.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1256355, 1256352, 1256349, 1256346, 1256343, 1256340?\n\"Answer: -3*g + 1256358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r. Let v(y) = -1334*y**2 + 2. Calculate l(v(n)).\nAnswer: -6670*n**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 45, 111, 229, 417?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 2*b + 5, 0 = 4*s + 720*b - 718*b - 30 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(16\/2)\/(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 < -3\/154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330158183?\nAnswer: 330158183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 220668 divided by 31\nAnswer: 220668\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -9 (c) 1.8 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 54, 141, 274, 459, 702, 1009?\n\"Answer: b**3 + 14*b**2 - 2*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 9*l**2 - 11*l + 26. Let z be g(8). Let z + 10\/3*s + 14\/9*s**2 + 2\/9*s**3 = 0. What is s?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 3. Suppose -5*v + 86 = 2*x, 2*x + 70 = g*x + v. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -2, 4\/327, 116?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6856 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + v**2 + 7 + v)*(-3*v**3 + 0*v**2 + 0*v**2).\nAnswer: -3*v**5 - 3*v**4 - 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/20 and -99\/448.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 13, -2, 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 + 0)*(-13*c + 14*c + 3*c)*(13*c - 16*c + 20*c) as r + m*c + b*c**2 and give b.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 4)*(0*w + w - 2*w) + (7*w - 5*w + 6*w)*(-2 + 0 + 1) - w - 2*w + 2*w as l*w + d and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/24)\/(392\/(-23520)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yytfyzzyybyititfb. What is prob of sequence tff?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/(-7) + 2\/7. Let y be (c\/(-10))\/((-2)\/30). Suppose -102*n + 2177 + 473 = 163*n. Solve -r + y = 2*k, -n = -8*k + 3*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/19 (b) 38 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 7 - 1 = 0. Suppose -v*m = -5*b + 126, 32 = 2*b - 5*m - 10. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14556049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-2\/5)*h**(7\/3)*(h**(2\/7))**(9\/4) assuming h is positive.\nAnswer: h**(751\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 87\/(1073\/(-37))*14\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46978173\/56 + 838750. Let a = j - -146. Let v = 5\/8 - a. Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 equal to 2\/3779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**4*y + 3*h*y**2 - h + y**2 + 144 wrt h.\nAnswer: 8*h**3*y + 3*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*s + 168*s = -208*s - 15776 - 14776 for s.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.47632 grams to tonnes.\nAnswer: 0.00002547632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80.17 + -80. Let l = 1.83 + o. Is -32 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2556 and 20.\nAnswer: 12780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39569 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 113 + 137 = 0. Suppose -35 = -u*v + 65. Solve v = -p - 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 4)\/((-390)\/(-75)). Is 1 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t - 1. Let u(w) = -w**2 - 5*w + 1. Let h(i) = 45*i - 317. Let l be h(7). What is l*g(d) - 3*u(d)?\nAnswer: 3*d**2 + 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1355791*x**5 + x**2 + 1243465*x + 3 wrt x.\nAnswer: -81347460*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21674 - -21692. Let u = 3 - 5. Put v, 3, -1\/5, u in descending order.\nAnswer: v, 3, -1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23626663 (base 7) to base 10\nAnswer: 2108074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1215 = -16*b + 11*b. Suppose 0 = -0*f - 4*f + 4. Let l be -3 + (26 - (f + -5)). Calculate the greatest common factor of l and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28198, -28191, -28180, -28165, -28146, -28123, -28096?\nAnswer: -28065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3\/d*d\/((((d\/d**(2\/3))\/d)\/d)\/d*d))**(-30\/7) assuming d is positive.\nAnswer: d**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 10*r**2 + 15*r - 2. Let v be p(-8). Suppose 672 = 14*w - 0*w. What is the highest common factor of w and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 84 - 40 - (34 + (6 - 5) + 4)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179993*x**4 + 20*x**3 + 16*x**2 - 585607*x wrt x.\nAnswer: -4319832*x + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 - 2 + 2 + (4*n**2 - 3*n**2 + 0*n**2)*(3 - 3 + n) + 3*n**3 + 0*n**3 - 4*n**3 + 0*n**3 + 7*n**3 + 2*n**3.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 565*k - 17858. Calculate b(-30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 413, 939, 1675, 2621?\nAnswer: 3777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 17 + 7 + 7 + -15.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2668 = -2*h + 6. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*b - 0*b, 0 = x + 4. What are the prime factors of (1 - b\/(-4))*(-96)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -22. Let s be (-147)\/(-270) + x\/4. Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5032*b + 30218. Give n(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - i**2 + 2*i - 2. Let w be z(0). Does 49 divide ((-1491)\/14)\/(w\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2300*c**5\/3 - 3260*c**4\/3 + 367024*c**3\/3 - 554816*c**2\/3 - 293120*c\/3 - 4928\/3 = 0.\nAnswer: -14, -2\/5, -2\/115, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - 1025?\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00062779 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a hour in seconds?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/20*5\/3*-1. Let d = 0.3 - 0.2. What is the nearest to d in -2, -3\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*j + 2, 4*t + 4*j - 7*j = 3. Suppose -4*q + 2*d + 16 = t, -2*q = -7*d + 8*d - 4. Find i, given that -i**2 + 8\/5*i + 1\/5*i**q - 4\/5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k. Let o(u) = 6*u. Let a(b) = -3*o(b) - 4*p(b). Let i(y) = 2*y + 10*y**2 - 2*y - 9*y**2. Determine i(a(q)).\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 3*x - 521 = 4*c, -4*x + 418 = -2*c. Solve -93*z + 84 = -x*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 37788344 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 135, 2689, 0, 10.\nAnswer: 0, 1, 10, 135, 2689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/11 in 2\/5, 1\/169607, -2\/3, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 19805828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*q - 22, p = -p + 5*q + 31. Suppose -2*h - 15 - p = 0. Let a be 1\/18*-4 + (-158)\/18. Is a at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1930*a**3 - 4*a**2 + 4*a**2 + 3834*a**3 - 1917*a**3.\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*a + 308*a - 121*a.\nAnswer: 39*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000135788 rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -907 + 9*i + i**2 + 907 + 0*i**2 as s + z*i**2 + p*i and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8*f**2 + 10*f - 5. Let w be c(7). Let g = -235 + 428. Suppose -w = -s + g. What is s rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5323764 divided by 15\nAnswer: -1774588\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1342233342 (base 5) to base 6\nAnswer: -202310455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -35667225, -5 in descending order.\nAnswer: -2, -5, -35667225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 62.6. Let d = -13.6 - w. Which is the closest to -2\/5? (a) d (b) 2\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1066\/1375 + 6\/125. Let k be (-3)\/3 - -7*(-7)\/49. Is r greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/(13\/156). Suppose d*u - 13*u - 10 = 0. Suppose -a = 1 - 3. Solve -u*j = a + 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -735 + -1 - (-4)\/(20\/5). Let d = 1822 + v. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, -0.06, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1922105 is divided by 240253.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -34735 + 6.0353?\nAnswer: -34728.9647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13546 = -33*x + 110434. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j**4 - 44*j**3 - 80*j**2 - 40*j. Let q(v) = -4*v**4 - 29*v**3 - 53*v**2 - 27*v. Let h(u) = 5*i(u) - 8*q(u). Factor h(r).\nAnswer: 2*r*(r + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 5*n + 2. Let g be j(4). Let p(h) = h**3 - 5*h**2 + 3*h - 3. Is p(g) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (511\/(-730))\/(49\/168)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -250.308 to zero dps.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3645, 14634, 32947, 58584, 91545, 131830, 179439?\nAnswer: 234372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 58, 63, 68?\n\"Answer: 5*i + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 5)*(p - 3*p + 3*p)*(-1 - 4 + 4).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3579389, -14317747, -32215011, -57271181, -89486257?\n\"Answer: -3579453*t**2 + t + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 931*f = 926*f - 31, -f = i + 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -33. Suppose -2*x + 1 - 7 = 0. Let u = x - z. What is the lowest common multiple of u and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 4*n**2 - n + 3. Let v be 2 - 14 - 4\/1. Let d(i) = -i**3 - 16*i**2 + 3. Let m be d(v). Determine t(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -255 + 254. Let m = -0.06 - 0.34. Put m, 7, u, -2\/9 in increasing order.\nAnswer: u, m, -2\/9, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165330 is divided by 3006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2616 - -2335. Which is the closest to 1? (a) x (b) -0.4 (c) 0 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/602 and -35\/258.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -17. Let g = s - 4. Suppose g*n + 0*n = 0. Which is bigger: 3\/11 or n?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1629704 or 1629702?\nAnswer: 1629702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0761 and 0.6.\nAnswer: 0.04566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11699353 to the power of 1\/2, to the nearest integer?\nAnswer: 3420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - t - 4. Suppose 4*b + 8 = 2*z, 4*z + 11 = -0*z - b. Let l be y(z). Solve -o = -l*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = 11*v - 10. Let l be (52\/(-13))\/((-10)\/v). What is the third biggest value in l, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52551 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2072.12 + -2122. Let y = 48 + b. Let z = -0.08 - y. What is z rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -46. Factor -2 - 6*r**2 + 18*r**4 - 3*r**5 - 3 + 27*r - 8*r**h - 16*r**3 - 7.\nAnswer: -3*(r - 4)*(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 11 - 3)*(-q + 13*q + 0*q).\nAnswer: 96*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(7\/10))**(-1\/33)*((a\/(a**(2\/11)\/a*a))\/a)\/a**(4\/15) assuming a is positive.\nAnswer: a**(-151\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**3 + 70*p**2 + 468*p = 0.\nAnswer: -26, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i - 5*i - i**2 + 3*i + 1 + 3*i. Let v be y(10). Sort 0, 2, v in decreasing order.\nAnswer: 2, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1101 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -114\/35?\nAnswer: -114\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 244, 276, 296, 304, 300?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -15. Solve d*p - 8*p = -15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -10\/8557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21889 is divided by 158?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f. Let s(h) = 3*h**2 - 1543*h + 48. Determine g(s(o)).\nAnswer: 12*o**2 - 6172*o + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.799 and 5.\nAnswer: -13.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**2*l*(l\/l**(-1\/16))\/l*l**(-2\/5)*((l*l\/(l\/(l*l**(4\/21)*l))*l*l)\/l)\/l assuming l is positive.\nAnswer: l**(9833\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.641 - 0.751. What is the third smallest value in o, 1\/5, -1\/5, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*q = -24, 2 = 4*q - 14. Let g(w) = -2*w**2 + 34*w - 20. Let j be g(16). Let r = 12 + -17. Sort n, r, j, 0 in ascending order.\nAnswer: r, 0, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 705 + -705.3. Which is smaller: h or 550?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910707 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2864.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 4 + (-4 + 3 - 1)*(-4 + 2 + 3) - 3 - 3 - 2)*((0 + 0 + 2)*(5*i - i - 2*i) - 2*i - 2*i + 6*i + 14*i - 16*i + 30*i) in the form f*i + w and give f.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26269131.\nAnswer: 3, 7, 17, 73583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 - 25*i**3 + 25*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13340 and 119480.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 + 13*q**2 + 3*q + 30. Let j be u(7). Let l = 6 - 1. Solve 0*w - l*c + 5 = 3*w, -j*w - 4*c + 4 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m - 2. Let c(h) be the third derivative of -7*h**4\/2 + 35*h**3\/6 + 35*h**2 + 2. What is -2*c(k) - 35*d(k)?\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 - 4*b**2 - 4*b - 3. Let u be s(-2). Let j = 5 - u. Suppose j = -3*c - 4*q + 43, 22 = 2*c - 3*q - 1. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1454228, 1454219, 1454210, 1454201?\nAnswer: 1454192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**5\/80 + 3*a**4\/16 - 13*a**3\/12 + 3*a**2 - 338*a. Factor q(b).\nAnswer: -(b - 4)*(b - 3)*(b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1479505, 1479197, 1478889, 1478581, 1478273?\nAnswer: 1477965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 - 19*p**2 + 43*p - 20. Let c be l(6). Let q(b) = -b**3 - 14*b**2 - 3*b - 15. What is q(c)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-3)\/1) - 9)\/((-5220)\/(-150) + -35).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-21)\/(-18) + 30\/(-18))*4\/7. Let c = 2.1 - 0.5. Let k = 2 - c. Sort -0.1, s, k in descending order.\nAnswer: k, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -690798*p**3 - 1764211?\nAnswer: -2072394*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2 - 25\/8*m**2 - 7\/8*m**4 + 1\/8*m**5 + 19\/8*m**3 + 2*m = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 9 - 5. Let r be 356\/32 - x\/(-16). Suppose -v - 50 = -r*v. Solve 0 = -v*a + 4 + 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46128, 92221, 138296, 184347, 230368, 276353, 322296, 368191?\nAnswer: 414032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*r = -328*r - 4, 4*r = -a + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -p - i, -p = i - 3*i. What are the prime factors of ((-94)\/p)\/((-1)\/(-36))?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30.96 + -31. Let t = -3.06 - -3. Let z = n + t. Which is smaller: 2\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 7*t**5\/2 + 17*t**4\/4 - 13*t**3\/4 - 19*t**2\/4 - t\/4 + 1\/2 = 0.\nAnswer: -1, -1\/2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17696 is divided by 236?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24242607 and 105174?\nAnswer: 48485214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6196?\nAnswer: 2, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 + -3 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 2*p**2 - 5*p**2)*(-47 - 24 - 111).\nAnswer: 910*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-4 + 2 - 3) - -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -2 + (6 - -1). Suppose h*i - 4*n - 12 = 0, n - 16 = -3*i - n. Suppose i*b - 48 = 4. What is the remainder when b is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 9*w + 1. Let b be t(-9). What is the units digit of 0 + 2 + b + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.894 - -5.394. Let m = -2\/369 + 772\/6273. What is the fourth smallest value in m, -4, z, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/405)\/((-108)\/3672*17)\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 13*g + 2. Let n(p) = -p**2 - p - 1. Give n(q) + v(q).\nAnswer: 2*q**2 - 14*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*m - 2*m - 52*m)*(0*m**2 + 0*m**2 + m**2) - 34*m - 8*m**3 + 34*m + (4 - 2 + 0)*(0 + 0 + m**3) to x*m + f*m**2 + q*m**3 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6060 and 37302936?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841815?\nAnswer: 3, 5, 13, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -1 - 17. Let f(o) = 3*o + o - b*o + o - 3. Let q(w) = w**2 + 7*w + 4. Let l be q(-5). What is f(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.44 * -3\nAnswer: -22.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 9*p + 10*p = -30, -5*p - 25 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 51*j**2 - 55*j - 247. Let h be x(-50). Let c be (3 + -4)\/(146\/49 - h). Is c <= 540\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 110957?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3369 and 30.\nAnswer: 33690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.3, -95, -3, -2.5 in descending order.\nAnswer: 1, -0.3, -2.5, -3, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**3 + 2576*p**2 - 40670*p - 43248 = 0.\nAnswer: -1, 17, 1272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -71*x**8\/7 + 32*x**4 - 357*x. What is the third derivative of n(o) wrt o?\nAnswer: -68160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56.2452483 - 218552\nAnswer: -218495.7547517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5906745 - -3.365.\nAnswer: -5906741.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**2 - 3050*h + 6080 = 0. What is h?\nAnswer: 2, 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + -6*(sqrt(637) - (sqrt(637) - -4*(sqrt(637) - sqrt(637)*1))) + 1 + sqrt(637)*1 + sqrt(637) + sqrt(637) + (sqrt(637) - 3*(sqrt(637) + 1))))**2.\nAnswer: -504*sqrt(13) + 22968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 5*p - 11 + 6 = 0, 0 = z - 5*p - 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -13*i - 1. Let s be g(5). Let t = s - -96. Suppose -19 = -2*b + 5*x + 8, -5*b + 5*x = -t. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2250 is divided by 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -2, -3, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2. Suppose 3*m + 2 = 5*u, -2 = -3*m + u - 0. Let w be 0\/(((-2)\/(-1))\/(-2)). Let n(r) = -r + 1 - m + w*r. Give y(n(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**6\/60 - 3*z**5\/10 + 3*z**4\/4 + 4*z**3\/3 + 4*z**2 + 4*z. Let u be f(-10). Solve -l - k = 2*l - 8, -3*k - u = -4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 8*b + 13. Let p be s(-9). Let j be -3*(-2 - -1) - 0. Sort -3, j, p in increasing order.\nAnswer: -3, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -262264, 5, -2.\nAnswer: -262264, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - -631 - -3*1. Suppose 4*o = 5*z + w, o + 3*z = -z + 175. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 13559289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 5)*(o - o + o) + 51*o - 28*o + 9 - 18*o to the form n*o + v and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*v**4 + 13*v**4 + 40*v + 180*v**2 - 8691*v**3 + 8841*v**3.\nAnswer: 5*v*(v + 2)**2*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -114*f**2*m*w + 2*f**2*n*w + 6*f**2*w - f*m*n*w - 2*f*m*w + 3*m*n + 124*n*w wrt n?\nAnswer: 2*f**2*w - f*m*w + 3*m + 124*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34224 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*g - 12. Factor -1 - 8*m**2 + g*m**2 - 5*m - 9 + 11*m**2.\nAnswer: 5*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 45, 189, 433, 777?\n\"Answer: 50*d**2 - 6*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-2) - -2)*3. Let f(g) = -g**3 + 3*g**2 - g - 3. Calculate f(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(11\/5)*n*n*n\/(n**(-1\/4)*n*n)*n**(16\/7)\/n**(-2\/13) assuming n is positive.\nAnswer: n**(10719\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v**2 - 16*v - 28. Let k be l(9). Let r be k\/6*(-30)\/(-20). Calculate the highest common divisor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.4 (c) -17\/8 (d) 17 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 7*q**2 - 6*q + 4. Let h be l(-6). Let c(m) = 0*m + m - 6 - m - m. Let a be c(-8). Solve -a*s - r = -0*s + 2, -4*s = h*r - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 48. Let x = 1596 + -1617. Calculate w(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1979 is divided by 961?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(700\/5))\/((-14)\/(-35))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 3*x + 239. Calculate j(13).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*c - 14, -c + 4 = -5*c. Let u(n) = -n**3 + 10*n**2 + 23*n + 23. Let q be u(x). Solve -4*w + 5*i = -q, -w = 2*w - i - 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 143 + 209 = s, -5*s = 3*j - 1806. Suppose -6*t = -5*r - 4*t + 586, -4*t - s = -3*r. What is the highest common factor of 29 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468825 is divided by 2124.\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -48*i**3 + 1 - 5 - i + 8*i**3 + 11*i**3 + 4*i**2 + 30*i**3. Let s = -2 + -2. Give g(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - -20. Let n be (t\/(-4))\/((-1)\/2). Suppose -4 = j - n. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20)\/(-10) - -1*189.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**9\/840 - v**8\/320 + v**6\/240 - v**4\/12 + v. Let f(a) be the third derivative of m(a). Let f(h) = 0. What is h?\nAnswer: -1\/3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((40\/5)\/4)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 241474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 80 = 92 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 3*c + 9, 5*c + 0 = 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 42745, 170985, 384719, 683947?\n\"Answer: 42747*y**2 - y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 - 2*f**3 + 8*f**3 - 39*f**3 + 5*f**3.\nAnswer: -25*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 8*v**2 - 4*v + 2. Let w be a(-7). Suppose 2*s - w = 113. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131414 (base 6) to base 13.\nAnswer: -5629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/3 + 78678*g**3 - 13927068121*g**2\/3 - 37142624952*g - 222863303056\/3 = 0.\nAnswer: -4, 118021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t = 384, 5*s - 1656*t + 1657*t = 68 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -17, 6 in decreasing order.\nAnswer: 6, 5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 991 divide 2449849125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8796828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2963 + 3030. What is the remainder when 1537 is divided by x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9787, -4, 2 in ascending order.\nAnswer: -4, -0.9787, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12156 divided by 22\nAnswer: 6078\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/911, 0, -12, -0.3, 0.4, -1.6, 0.3?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*((k\/(k\/(k**12*k)))\/k)\/k*k*k)\/((((k\/(k*k**(-6\/7)\/k*k*k))\/k)\/k)\/(k\/k**(-1\/4))) assuming k is positive.\nAnswer: k**(459\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 12*w + 5. Let s be v(12). Let j be (-4 + -1)*(-12)\/15. Solve -z - 4*z + 3*i + 35 = 0, s*i = j*z - 41 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 2:31 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -295 - 1f0?\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21449*c**3 + 57*c**2 + 12283467*c wrt c?\nAnswer: -128694*c + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxc when three letters picked without replacement from {x: 3, c: 2, y: 1, p: 6, s: 5}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2185\/91770)\/(132\/(-14) - -4 - -4)?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3\/i)\/(i\/i**(-4))*(i**0)**(-2\/27))**(2\/13) assuming i is positive.\nAnswer: i**(-6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783934.5ml to litres.\nAnswer: 783.9345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.08 + 39. Let z = w - -2. Let j = z - 0.02. What is the third smallest value in -3, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*n**3 + 366469699*n - 366469697*n - 2*n**2 + 2*n**2.\nAnswer: 23*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 111384 (base 9) in base 8?\nAnswer: 202142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*m = 26, 4 = 5*d + 3*m + 1. Suppose -11 = -d*l + 19. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*v - 16, 5*v - 2*v = -b + 1. Suppose -4*m = v + 6. Let w = -187 - -188. Put 0.02, w, m in decreasing order.\nAnswer: w, 0.02, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**5 - 402*p**4 - 12642*p**3 + 55068*p**2 - 70587*p + 28566 = 0. What is p?\nAnswer: -69, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 3. Let r(a) = -2*a - 6. Let o be 2\/8 + 21\/(-4) - -3. Determine o*r(k) - 5*t(k).\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164791349, 164791347, 164791345, 164791343, 164791341?\nAnswer: 164791339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -26*c + 284. What is f(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6466412 divided by -4\nAnswer: -1616603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2*r + r)*(5 + 1 - 4 + (-8 + 1 - 2)*(-401 - 158 + 21)) + (-3*r + r + 0*r)*(2 + 2 - 6).\nAnswer: -9684*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14004234 (base 5) to base 9.\nAnswer: 234612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*m = -2, 5*n + 153*m = 148*m + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15928, 129624, 438210, 1039132, 2029836, 3507768, 5570374?\n\"Answer: 16241*j**3 - j**2 + 12*j - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05108498 rounded to 3 dps?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106 or 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 3*w - 143 - 477 = 9*w for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -8, 0.5, 0.6, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**3 - 45*k**2 - 600*k + 5500 = 0. Calculate k.\nAnswer: -11, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60596424 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 345*r**3 - 463 wrt r.\nAnswer: 1035*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50471 is divided by 6198?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2. Let m(p) be the first derivative of p**4\/3 - 28*p**2 - 123. Let q(s) be the second derivative of m(s). Calculate a(q(n)).\nAnswer: 64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021 (base 7) to base 14.\nAnswer: 1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -9. Let w be (d\/3)\/((-2)\/132). Suppose w = -2*m + 4*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -dd + e7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-4))\/((-450)\/540). Let x = -24\/473 - -10\/43. Factor 0*t**p + 0*t - 2\/11*t**2 + 0 + x*t**4.\nAnswer: 2*t**2*(t - 1)*(t + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 1:50 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 11*f**2 - 40*f + 20. Let n be z(-14). Let h be (-2)\/(n\/5302*36\/72). What is h rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30688 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 53*p**3 + 2*p**2 - 3. What is w(1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12126288 and 32896?\nAnswer: 97010304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -284 - -280.82. Let f = 0.18 + j. Put 4, f, -1 in decreasing order.\nAnswer: 4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0 + 3. Let t(r) = 2*r - 66 + 185 - 55 - 60. Give t(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-904)\/(-5650))\/(1\/(-5)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-48))\/(4\/(-16)))\/(33\/(-2))?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 33*z - 20042 = -29*z, 5*g + z = 50039. List the prime factors of g.\nAnswer: 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s - 1. Let t be -7 - (-4 + -3 + 5). Let h(i) = 2*i + 8. Let r be h(t). Calculate j(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 137*g. Let m = -185 + 187. Let s(j) = -3 + 200*j**2 + 3 - 198*j**m. Determine c(s(p)).\nAnswer: 274*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from llnllleeenkb.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 24. Let i(q) = q**2 - 6*q + 3. Suppose -3*m - 2 = -20. Let u be i(m). Sort -4, u, c.\nAnswer: -4, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30606 divided by 1?\nAnswer: -30606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (8 - 15) - -6) + 11 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {m: 7, i: 3, f: 4}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10\/7, 30665\/118, -2?\nAnswer: 30665\/118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 1 = 7. What is the third derivative of -6*y**3 + 0*y**i - 3*y**2 + 0*y**3 + 5*y**3 wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Find the second derivative of 2*g + 3*g - g**2 - 5*g**q wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r + 17. Suppose -93*t = -99*t - 30. Let w(z) = -6*z + 34. Let v(l) = t*c(l) + 3*w(l). Let s(h) = -h**2. What is s(v(u))?\nAnswer: -4*u**2 - 68*u - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2 + -29.2. Let m = j + 26. Let x be (3 - 1)*5\/(-2). Put x, 1\/3, m in ascending order.\nAnswer: x, m, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 3}. What is prob of sequence fa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*12 + 66 + -32. Calculate the greatest common factor of 3091 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(72) + 1 + 0 + 2 + -4*sqrt(2)*2)*-6)**2.\nAnswer: -3888*sqrt(2) + 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790182 is divided by 1847?\nAnswer: 1513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111101 (base 2) to base 15.\nAnswer: 11d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -41) + (-135 - -73)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-55 - -57 - 38)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2250036\/21)\/(28\/98). Suppose -4*q + y = -w - 7*q, 5*w + 3*q = -1875006. What is w rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1177686591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/6)\/((-110)\/(-120)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -296, -586 in decreasing order.\nAnswer: -3, -296, -586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 231680 divided by -2\nAnswer: -115840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5400527 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -27. Suppose 0 = z*t - 207 + 31. Let n be (-6 - 0)*(-24)\/18. What is the highest common factor of t and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -18 plus -18384.1?\nAnswer: -18402.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)*f\/f**(-1)*f**2*f**(-2\/13))**(-22) assuming f is positive.\nAnswer: f**(-2728\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/3 (b) 510556 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/2 - 2*-1. Let h(n) = -3*n - 3*n + 2*n**2 - n**2. Let l be h(5). What is the third biggest value in 3, t, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1165 + 1452. What is the highest common factor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 3. Suppose b - 2 = 0, 2*p + 3*b + b + 16 = 0. Let t be ((-20)\/(-40))\/(2\/p). What is s(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 31046 (c) 2 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*m**4*p + 394*m**2*p**3 - 15728*p**3 + 4*p**2 wrt m.\nAnswer: 68*m**3*p + 788*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 721975 to the power of 1\/2, to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022 is divided by 148.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-400)\/(-175)*266\/(-380).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/168*(-7)\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (8 + -5) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 9 = -4. Let o(x) = -25*x + 1. Is o(d) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2178 + 2191. Solve 5*k - s = -7*x + 8*x, -4*x = -3*k + 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 672 and 637136.\nAnswer: 26759712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - -7. Suppose -17*t + n*t = 108. Calculate the remainder when 51 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -43, -113, -231, -397, -611, -873, -1183?\n\"Answer: -24*l**2 + 2*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 k when three letters picked without replacement from {q: 2, k: 4, l: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 25. Suppose o*d = -5*c + 3*c - 93, -5*d = -5*c - 170. Let s = c - -180. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1353 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 101472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**5\/480 + p**4\/48 + 24*p**2. What is v in x(v) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 359, 3\/4, 0.5, -2\/5, -1, 61?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 71032976?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 26 (b) -230 (c) 1.9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 0 - 1\/3*r**3 + 5\/2*r**2 - 25*r. Give n(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 12 + 4*r**2 + 2*r**2 + 14*r**3 + 7 - 27*r**3 as s + n*r**3 + q*r**2 + c*r and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/20 - (-13)\/5. Suppose 4*u = -5*s - 82, 2*s + 94 = -2*u - f*u. Let b = u + 32. Round b to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6885936?\nAnswer: 2, 3, 47819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 261498.\nAnswer: 1830486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**4\/14 + 110*a**3\/21 + 113*a**2\/7 + 114*a\/7 - 923. Factor g(h).\nAnswer: -2*(h - 57)*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, e: 1, k: 5}. What is prob of picking 2 k?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 912*g - 51145. Calculate d(53).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b + 6. Let d be (-2)\/3 + 5\/3. Let i(o) = 5 - 1 + 5*o + d. Let w = 10 + -16. Calculate w*g(m) + 7*i(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 975 is divided by 93.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 5. Let f be y(0). What is the remainder when f\/(24\/22 - 1) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - ((-6 + 0)\/(-1) + 1)) + 719 is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/5 + 74*o\/5 + 108.\nAnswer: 2*(o + 10)*(o + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v - 47*v + 1 + 0*v.\nAnswer: -58*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -4*n. Let c(i) = 4*i**2 + i - 2. Let a be c(n). What is the remainder when 170 is divided by (222\/(-12) - a)*2\/(-1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -25. What is the remainder when q is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 - 73. Let w be (-2)\/(-6) - ((-98)\/21)\/(-14). Which is the third smallest value? (a) w (b) -0.3 (c) v (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m + 0*m**3 + 5*m + 6*m**2 - 3 - m**3. Let i be d(6). Let h(u) = -u**3 + 3*u**2 + 5. Is 2 a factor of h(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*43 + 5174493\/(-58935).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*(sqrt(76) + (1*sqrt(76) - sqrt(76))) - sqrt(76) - sqrt(76)))\/(sqrt(20)\/(sqrt(80)*-5 + sqrt(80) - sqrt(80))).\nAnswer: 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**3 - 4*w**2 + 9*w + 9. Let i(m) = m**3 + m + 1. Let f(v) = 4*i(v) - k(v). Let d = -1 - 0. Let z be (-5)\/d*(-2)\/2. Determine f(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -15. Let p = -4 + 4. Let a be (0 - p) + (0 - -2). What is the closest to -1\/3 in m, a, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*z - 23772 = 14710 for z.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 0 + -2 - 20\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528 is divided by 171.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxoxxolgooz. Give prob of picking 1 g, 1 l, and 1 x.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 - -113 - (5 - (3 + -6)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1176247809.\nAnswer: 3, 11, 2087, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 21948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 92510 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9672 is divided by 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -53893 + 5?\nAnswer: -5388c","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 4:38 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-150)*2*248\/124?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 4 = 4*t - 3*l, 5 = -2*t + 5*l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 1, p: 1, n: 2, c: 1, r: 1}. What is prob of picking 1 n, 1 c, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23868?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t\/((((t*t\/(t*t*t*t\/(t**0*t)*t))\/t)\/t)\/t))*t**(-6))\/(t**4*t**(-6))*t**(-6)*t*t**(-6)*(t\/t**(-2))\/t*t**(-1\/6) assuming t is positive.\nAnswer: t**(-109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28036490*y - 56073063*y + 28036567*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 40407 = t, -12*c + 3*t = -11*c - 13459. Suppose -34167 = -5*v + c. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 24 = 3*q, -2*q - 31 = -c - 29 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 10*h**2 - 3*h - 21. Let l be b(-10). Suppose 0 = 4*o - 40 + 272. Let g = -31 - o. What is the greatest common divisor of l and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 40*m - 35*m - 25, -3*v = 5*m - 9. Solve 0 = -3*a - 5*z + 1 + m, -2 = 2*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -11*o**2 + 2*o + 2. Let n(y) = 12*y**2 - 2*y - 2. Calculate 5*l(k) + 4*n(k).\nAnswer: -7*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - i + 2*i - 2*i**3)*(14 + 12 - 4)*(-2 - 1 + 0) in the form x + q*i + o*i**2 + k*i**3 and give q.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 = 27. Suppose i - f = -13, 3*i + 2*f + x = -11. Are -9 and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 56. Suppose d*r + 8 = 3*r. Is r at most as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-225)\/(-500))\/((-9)\/15)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**13*h)\/h**(-4\/5))\/((h**(1\/6)*h)\/h)**(18\/11) assuming h is positive.\nAnswer: h**(799\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -4. Let t = -82 + 53. Let i = -33 - t. Sort 2\/7, i, s in decreasing order.\nAnswer: 2\/7, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -920115, -920231, -920347?\n\"Answer: -116*z - 919999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 520?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -51 - (-9570)\/220 - (-258)\/44\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 61*m - 64*m**2 + 55 - 44 + 41 - 5*m**3 + 74.\nAnswer: -(m - 1)*(m + 2)*(m + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 159033? (a) 2\/7 (b) -5 (c) 1\/2 (d) 4 (e) -490 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -415, -1, 1, 3, -5 in decreasing order.\nAnswer: 3, 1, -1, -5, -415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*w**2 - 453*w**3 - 66*w**2 + 455*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74*d**4 + 97*d**3 - 11*d**2 - d - 354?\nAnswer: 1776*d + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110010110 + -11100?\nAnswer: -1110110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 6*t - 11*t + 156, -780 = 5*m - t. Which is the second biggest value? (a) 0 (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.851 + -1.853. What is the third smallest value in -3, -2\/11, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236091 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8\/11, 18, 5, 2?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 2\/17, 95, 12926, 0.14 in decreasing order.\nAnswer: 12926, 95, 0.14, 2\/17, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 3 - 47)*(-5*p + 0*p + 4*p)*(4 - 3 + 13).\nAnswer: 812*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**5 - 3590736*u**4 + 1074441570309*u**3 + 4297812960924*u**2 + 3223367799876*u = 0.\nAnswer: -3, -1, 0, 598458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1539) + -2 - sqrt(1539))**2*6 - (sqrt(2299) + -2 + 1 - (4*(1*sqrt(2299) + sqrt(2299)) - sqrt(2299)))**2.\nAnswer: -82693 - 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492.91 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33217 is divided by 220?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + w + 60, -3*w = -0*w + 12. Let j(x) = -2 - 3*x**2 - v*x + x**3 + 7 - 3 + 7*x**2. What are the prime factors of j(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 4 = 94*k - 184 + 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 11, g: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(90) - sqrt(90)) + sqrt(10))\/(-5*2*sqrt(2)) + 5.\nAnswer: 4*sqrt(5)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-1344)*-14*((-63)\/2)\/(-7).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - x - 1. Let q be -2 - 16\/(-2 - 2). Let d(k) = -3*k**2 - k. Determine q*d(w) - 2*i(w).\nAnswer: -4*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-4)*-20*(-40)\/300?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1130 and 415840.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -400 + -214?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*a + 8, -5*i + 10*i + 9 = -4*a. Which is bigger: -83\/49 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/7 and 31\/9937?\nAnswer: 69559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 711*u + 1100*u + 80*u**2 - 79*u**2.\nAnswer: u**2 + 1811*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1032\/7 or 148?\nAnswer: 1032\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 8) in base 7?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 588?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9615*-2026.\nAnswer: 19479990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3027, -3469, -3911, -4353, -4795, -5237?\n\"Answer: -442*v - 2585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1330*j + 99. Is l(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 3.6. Let r = 183 + -182. Suppose -2 = t - 4*y, t - y - r = -3. Which is the closest to 1? (a) t (b) 3\/8 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 421 = -163. Suppose -4*x + 3*x + 319 = 4*g, -2*x - 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: Suppose 11 = -3*y - 7. Let h(w) be the first derivative of -w**3\/3 - 5*w**2\/2 + 5. Calculate h(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35296454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4946 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -75160 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 62 and 35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -16. Which is the nearest to -2\/9? (a) -4 (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2\/7 - 30*i\/7 + 4 = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**3 + 25661*l + 25654*l + 30*l**3 + 25646*l - 76961*l.\nAnswer: 39*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1101101000000101111 (base 2) to base 11\nAnswer: 28551a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -118*m**2\/11 - 4238*m\/11 + 360\/11 = 0.\nAnswer: -36, 5\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**6\/120 + 7*u**5\/60 - u**4\/8 - u**3\/3 + 8*u**2. Let q = 22341 - 22348. Determine h(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -2\/11, 2, 0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*s + 116 - 691, 220 = 2*s - 4*i. Does 23 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 9 (b) 0.5 (c) 5 (d) -31 (e) -5.3 (f) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 442282 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 15 = 3*x, 2076*s - 2079*s + 3 = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3822, -8088, -12792, -17928, -23490, -29472?\nAnswer: -35868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6 = -14. Suppose 23 = 5*k + 3*u, -v*k = -3*u - 0*u - 47. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005110451784 to 7 dps.\nAnswer: 0.000511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 3\/2*h**5 - 5\/2*h**3 - 3 + 3\/2*h**2 - 3\/4*h**4 + 0*h. Find m, given that r(m) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 19*i**2 + 19*i + 31. Calculate the remainder when 23 is divided by b(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*r - 3*t, 3*r - 1 = -2*r - t. Suppose 4*u - 4 = 2*p - 114, r = -4*p + 5*u + 214. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 0 - 1\/24*n**4 - 1\/4*n**2 + 1\/6*n**3 + 2*n. Suppose c(p) = 0. Calculate p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 30 = -2*n + j, 3*n + 5*j - 58 = 0. What is the greatest common divisor of n and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 2 + 0*r**2 + 0*r - 1\/3*r**6 + 0*r**5 + 0*r**4 + 5\/3*r**3. Find the third derivative of t(x) wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + sqrt(76)*-1 + (2 + sqrt(76) + -3 + sqrt(76))**2 + sqrt(76) + (-1*sqrt(76))**2 + 3 + 5.\nAnswer: -8*sqrt(19) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 10*k**3 + 14*k**2 + 14*k + 14. Let b(i) = -i**2 - i - 1. Determine 28*b(d) + 2*t(d).\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.003175956 + 0.00319. Round b to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 3:05 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, f: 7}. Give prob of sequence tf.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 + -0.12. What is the third biggest value in -5, f, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*h + 49 = -10 - 113 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -2) + -6 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 5.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, -0.61, 0.2, 3316?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115447514 to the nearest integer?\nAnswer: 10745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*-1 + 5)**2 - ((sqrt(468) + (1*sqrt(468)*4 - sqrt(468)) + sqrt(468))**2 - sqrt(468))) + -2.\nAnswer: -11209 - 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -12 + 8 - 11 - 9*y**2 - 25*y + 8*y**2. Calculate the remainder when 203 is divided by p(-21).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from kktkkktkkkkk?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 245322 and 93456?\nAnswer: 1962576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -11*d**3\/3 - d + 1. What is c(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 12*u**2 + 12*u + 1. Calculate t(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 27\/(-9) + (0 - -5). Suppose t*u + 4*n - 19 = -3, u = 3*n - 12. Solve 3*m + 6 = u, 0 = 2*b - 3*m + 5 - 15 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/((-2)\/(-7406)) + (-118 - -119).\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -14 - -11 - 1) + -27?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 2*v + 15 - 17.\nAnswer: -2*v - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -32330332?\nAnswer: 32330321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 21.1. Let j = -26 + o. What is the smallest value in j, 1, 3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n*n*n**(-8))*n*n**(-4\/15)\/n)\/(((n\/(n\/(n*n\/n**(-4\/21)))*n)\/n)\/((n\/(n**21*n))\/n)) assuming n is positive.\nAnswer: n**(-611\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)*w)**8*(w\/w**(1\/30))\/w**(-1) assuming w is positive.\nAnswer: w**(139\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 236*k**3 - 13*k**2 - 3*k - 16. Let b(n) = 238*n**3 - 11*n**2 - 3*n - 14. What is 7*b(f) - 6*h(f)?\nAnswer: 250*f**3 + f**2 - 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 8) in base 15?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 2*s - s)*(-5 + 1 - 3 + (3 - 4 + 5)*(-4 + 4 - 2) + 7 - 4 + 0)*(-5 + 4 + 0)*(14 - 60 + 24).\nAnswer: -528*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(300)*3)**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4557.355176 rounded to 1 decimal place?\nAnswer: 4557.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrzzzzzuz. Give prob of picking 2 z and 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2*k**2 + k)*(4*k + 2*k - 45*k)*(3*k**2 + 0*k**2 + 0*k**2).\nAnswer: 234*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**3*r*u + 163*i**3*r - 2*i**3*u - 2*i**3 + 90*i**2*r + 84*r*u wrt i?\nAnswer: 18*r*u + 978*r - 12*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1309011?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 59\/5 of a millennium?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (91\/(-2))\/(2\/(-13 + -31)). Calculate the greatest common divisor of u and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3294 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 24. Let a = -7 + j. Solve -4*t + a*n = -12, -4*t + n + 10 = -2*n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12 != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 7*a + a + a - 15*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -26. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -g + 3, -5*j + 3*j - 4*g + 12 = 0. Differentiate 7*n**2 + j*n**2 - 3*n**2 - 1 with respect to n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 7:20 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a6 - -7?\nAnswer: -49b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -364 + 18?\nAnswer: -34b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y. Let d(a) = -a + 2*a - a - 3*a. Determine i(d(k)).\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-eight thirds of a week?\nAnswer: 94080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.3, -5, -34736, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113761771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - -3*sqrt(171))\/sqrt(9) - sqrt(114)\/(sqrt(6) + (-3*sqrt(6) - sqrt(6)) + sqrt(6)).\nAnswer: 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9 + 25 - (-3 + 17). Factor -1\/3*v**3 - 4\/3 + v**l + 0*v.\nAnswer: -(v - 2)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*n + 12, 2*n + 64 = 4*d. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 329076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, 3\/8, -1\/2, 3 in ascending order.\nAnswer: -110, -1\/2, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 22 + (37 - 68)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 4*u**2 - 5*u**2 + 1.\nAnswer: -3*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (8\/28)\/((-3)\/(9\/(-3)))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-7))\/((-9)\/(-63)). Solve -8 = x*k - 0*k - 4*z, -3 = -z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147 + 522*x - 75*x + 146)*(1 - 4 + 2)*(1 - 11 + 2)*(-1 - 2 + 2).\nAnswer: -3576*x + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from kxqnxxk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 366512427 to the nearest integer?\nAnswer: 19145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 + -90. What is the third smallest value in -3, 4\/3, o?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288407.\nAnswer: 7, 41201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**12)**(-26\/5))**(-1\/54) assuming t is positive.\nAnswer: t**(52\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63783.18ml in litres?\nAnswer: 63.78318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 12) in base 5?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) - (sqrt(637) + (2*sqrt(637))**2 + sqrt(637) + 1 + sqrt(637)).\nAnswer: -2549 - 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z + 6 = 0, -g + 9 = 3*z. Suppose g*p - 45 = -2*p. Calculate the remainder when p is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 3)*(0*k - 3*k + 2*k) + 2*k - 3*k + 3*k - 2 - k + 2 + (1 + 2 - 1)*(4*k + 2*k - 5*k))*(-8 + 1 + 2).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 x when four letters picked without replacement from {t: 3, x: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*o - 26 = -2*o, 0 = d - 2*o - 10. Suppose -777 = -3*p - 3*a, d*p - 9*p - 3*a = -263. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quqiqiiqqiquuuiiq. Give prob of sequence iuuu.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 21, 35, 65, 117?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1047 and 1296535.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6*0 + -6. Let w be 2\/4 + 33\/x. Let k(o) = -o**3 - 5*o**2 + 3*o + 6. What is k(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000068490514 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 83601395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -431 - -466. Put r, -2, 3 in increasing order.\nAnswer: -2, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 164\/5, 1\/8 in ascending order.\nAnswer: -5, 1\/8, 164\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 3*r - r)*(15 - 20 - 12)*(-r**2 - 11*r + 11*r) in the form w*r**2 + h + o*r + g*r**3 and give g.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1. Let r(v) = -v - 1. Let s = 30 + -27. Suppose -m + 4 = s. Let w(h) = m*y(h) - r(h). Let p(n) = -16*n. Calculate p(w(j)).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694 a factor of 9098541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -942, -925, -906, -885?\nAnswer: -862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/15*-1*235 is divided by (-2)\/13 + 158\/13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 6 - (0 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(889*o - 236 + 236 - 4928*o).\nAnswer: -8078*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 5)*-6*3\/12. Suppose i = -4*r - 2. Which is smaller: -55 or r?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -187\/1007 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 3*u + 4)*(-1 + 1 + u)*(0 - 2 - 2) as m*u + o*u**2 + r and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 245, 234, 187, 86, -87?\n\"Answer: -3*r**3 + 10*r + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 271.8 - 272. Put 0.145, 1, x in descending order.\nAnswer: 1, 0.145, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 4:04 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, z: 2, e: 1, p: 3}. What is prob of sequence pqep?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40\/3*v + 43 - 1\/3*v**2.\nAnswer: -(v - 43)*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = 4*g - g. Let o = g + 33. Let n = o - -42. Calculate the highest common factor of n and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, -0.34, -3, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 - 10*c**2 + 7*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 387090 and 810.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3535, 3532, 3519, 3490, 3439, 3360, 3247, 3094?\n\"Answer: -f**3 + f**2 + f + 3534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 405948 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: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkkkqqkqqq. Give prob of sequence qkkk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + 76 + (-3952 - -3993)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 2*l - 5. Let b be d(4). Suppose x + b*x = 0. Suppose 4 = -x*j + 2*j. Solve -1 = j*u - 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**6\/120 + q**5\/30 + q**4\/6 - q. Let f(u) be the third derivative of h(u). Is f(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(6\/(-8) - 0). Let u = 0.09 + 0.01. Let q = 10 + -9. What is the closest to q in -0.5, x, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**4 + 0*f**4 - 3*f**4 - 4*f**4 - 159*f**3 + 12*f**4 + 156*f**2 = 0?\nAnswer: 0, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*b**2 + b**3 + b**3 - 4*b**3 + 6*b**3 wrt b.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(280) - (sqrt(280) + 1*sqrt(280) + sqrt(280)))*-5)\/((sqrt(1440)*2)\/sqrt(4)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.36677 minutes to seconds.\nAnswer: 3502.0062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(65)\/sqrt(5)*-5 + 2*sqrt(637) + sqrt(13)))**2 + (3*(sqrt(156) + -3*sqrt(156)))\/(sqrt(48)\/sqrt(4)*-6).\nAnswer: sqrt(13) + 32500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4*q**2 + 3*q**2 - 3 to y*q**2 + v + r*q and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(2\/1)*((-1485)\/(-25))\/(-33)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**(1\/3)))\/d*d\/(d**(2\/17)\/d))\/(d**(-4)*d**8))**(-1\/22) assuming d is positive.\nAnswer: d**(8\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-27))\/((-984)\/26568).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 8:22 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1068*r. Let f(p) = -32139*p. Calculate f(y(x)).\nAnswer: -34324452*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -702, -2745, -6148, -10911, -17034, -24517?\nAnswer: -33360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/42682?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518511 is divided by 51850.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 236, 1712, 5778, 13730, 26864, 46476, 73862, 110318?\n\"Answer: 216*h**3 - h**2 - 33*h + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/805)\/(76\/(-14820)*26).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285538.8 tonnes to kilograms.\nAnswer: 285538800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)*x)\/x**7*(x*(x*x*x**1)\/x*x)**(10\/11))**(-9) assuming x is positive.\nAnswer: x**(432\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 15) to base 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(21\/5)*t*t\/(t\/(t*t**27))*t*t\/(t*t**(-2\/5)*t)*t*t\/(t*t*t**(-32)*t) assuming t is positive.\nAnswer: t**(323\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48010329 rounded to four decimal places?\nAnswer: 0.4801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + y**2 - 2*y - 1. Let r be ((-6)\/(-2))\/(3\/2). What is the smallest common multiple of x(r) and ((-4)\/(-2))\/4*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -98*y - 3328. Calculate z(-42).\nAnswer: 788","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 9 = 6*j. Suppose 7*d = j*d + 16. Solve d + 1 = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + i**2 - i + 1. Suppose -p = 2*p - 6. Let s(h) = -11*h**3 + p*h**2 + 34 - 2*h - 35 + 20. Let y(c) = 2*g(c) - s(c). Differentiate y(n) wrt n.\nAnswer: 39*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 29552 and 29552 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdfd when four letters picked without replacement from wddrfdlrjrfd.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*o**4*y - 29*o**2*y - 37*y with respect to o.\nAnswer: -60*o**3*y - 58*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 15*b - 21. What are the prime factors of c(-23)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 12:28 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 38. Solve -d + 11 - 4 = -2*v, -b*d + 2*v = -13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -643, -604, -565, -526, -487?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + (sqrt(637)*2)**2*-5 + sqrt(637) - (-2*sqrt(637) + 2).\nAnswer: -12742 + 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 322823\/90608 + -2\/5663. Let d be (-9)\/(-6)*-2 - -5. Calculate the common denominator of (29\/6 - d)*-5 and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 48) + -12 - -14?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138 by -2.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + -1 + sqrt(11))*4.\nAnswer: 13 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17529 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 3. Suppose 2*a + 16 = -0. Let r = a + 5. Let j be v(r). Solve j*f = -2*f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 6052510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 27*i - 126. Calculate c(13).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1405*g + 20. Let j(f) = 2*f**2. Calculate j(l(h)).\nAnswer: 3948050*h**2 + 112400*h + 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2 + 55. Let r(n) = 11*n**2 - 108. What is 6*r(a) + 13*v(a)?\nAnswer: a**2 + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/21*4\/(-8)*7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/5)\/(z\/(z\/(z\/((z\/z**(-4\/3))\/z*z)))) assuming z is positive.\nAnswer: z**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8011236 divided by 3428?\nAnswer: 2337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1871*q + 2 - 941*q - 978*q + (10 + 14 - 14)*(4*q + 2*q - 3*q) in the form o*q + l and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -56797, -113544, -170291?\n\"Answer: -56747*m - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**3 - 2*z**2 - z. Let m be a(-1). Let b be (0 + 4)*m\/4. Factor 22\/7*c + 4\/7 + 2*c**3 + 32\/7*c**b.\nAnswer: 2*(c + 1)**2*(7*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20734 - -20871. Solve -g + 23 = 19*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -14*p**2 - 49*p + 105. Let v be o(-5). Solve v = 3741*g - 3740*g - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 0*y**4 + 0 + 4*y**2 + 0*y**5 + 0*y - 1\/12*y**6 + 1\/2*y**3. Differentiate x(l) wrt l.\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.946046 tonnes in milligrams?\nAnswer: 7946046000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -58 + -5?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.93 (b) 1\/2 (c) 5 (d) 3\/2 (e) -17 (f) -57\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 983692613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-22)\/(-33)*(-2 - 79\/(-2)) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 2\/127, 166.5, -0.4?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7416 + 7572. What is the greatest common factor of j and 210?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 3*g**2 - g + 2. Let q be 4\/(-14) - 38\/14. Let p be v(q). Suppose 0*c = -p*c + 15. Calculate the highest common divisor of c and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + g**3 - 3*g**3 + (g - g**2 - g)*(1 - 1 + 2*g))*(-1 + 2 + 2).\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7703, -30804, -69305, -123206, -192507, -277208?\nAnswer: -377309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -4. Let q = 1.422 + -24.422. What is the closest to u in -4\/7, -5, q?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*k - 28*k + 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 0 - -4)\/(-1 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7685 + 7685 - 83*y**4 - y**2 + 2*y**4 + y**2 + y**2 + (-y**2 + y**2 - 2*y**4)*(3 - 3 - 2).\nAnswer: -77*y**4 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(12489*r - 12489*r + 107*r**3).\nAnswer: -107*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2*11)\/(26\/6 + -5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -57\/1337?\nAnswer: -57\/1337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 18425 = -q + 18435, -4 = -q + 2*u for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-8) + 4\/(-32). What is the first derivative of p*u**4 + 2*u**4 + 0*u**4 - 7 wrt u?\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 75167 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from {a: 9, y: 2, v: 7}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (9\/(-27) - (-20)\/(-12)). Let s(k) = -2*k - 4. Determine s(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k = 20*k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*g + 739*g + 4 - 147*g - 147*g - 146*g - 145*g.\nAnswer: g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4890700 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 982.1863 weeks?\nAnswer: 594026274.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 213 + -155. Calculate the remainder when 115 is divided by u.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -0.1 (c) -28 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 34\/6 + 2\/(-3). Let h be 6\/39 - (-206)\/13. Solve t*i - i + h = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/(-90)*(-15)\/(-25)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6323 is divided by 1569?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*(sqrt(425)*1 - sqrt(425))*6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - (-30 - -12)) + 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -319 + -13 + 10. Let x = t - -475. What is the remainder when x is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 147943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 6) in base 16?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {g: 7, o: 9}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 299 and 2484.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 41*z**6\/30 + 5*z**5\/12 - z**4\/8 - 365*z**2. What is the third derivative of r(j) wrt j?\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4375238357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfpz when four letters picked without replacement from {s: 5, w: 2, d: 3, p: 1, f: 3, z: 1}.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 4*a**5\/5 - 6*a**4 - 124*a**3\/3 + 312*a**2 + 720*a + 633. Let u(s) = 0. What is s?\nAnswer: -5, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzhhhzhszhzzh. Give prob of picking 4 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = u - 4*r - 2, 2*r = -u + 2. Suppose 0 = -u*m + 4*x - 28 - 2, 2*m + 35 = 5*x. Sort 0, -13, 5, m.\nAnswer: -13, m, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 2}. What is prob of sequence kk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.00233 - 18.00233. What is the nearest to 1 in d, -5, -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500863 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, 41.68, -1 in increasing order.\nAnswer: -9, -1, 2, 41.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51182 - -88510. What is the thousands digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 38*k + 125. Let v be f(14). Which is smaller: v or -9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1, 5 in descending order.\nAnswer: 5, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/230 and -7\/31.\nAnswer: 7130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 2065 = t. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -448750*g**3 - g**2 - g + 2. Let p be b(-2). Round p to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)*f)\/f**5*f**(1\/5)*f**(-5\/2) assuming f is positive.\nAnswer: f**(-153\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1007\/490 + -123\/98. Find v such that w*v**3 + 0 + 12\/5*v**4 - 8\/5*v + 4\/5*v**5 - 12\/5*v**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188346 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2655 is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**4 - 564800*s**3 - 21267355680*s**2 - 266976198945280*s - 1067564554236160 = 0. What is s?\nAnswer: -37652, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6479)\/(-11935) - 2\/(-28)*-2. Let r(a) be the first derivative of 2\/5*a**2 + 0*a + t*a**4 + 2\/25*a**5 + 2\/3*a**3 - 15. What is o in r(o) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 - 13*w**2 + 45*w**2.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 - -4.9. Let t = 6 - x. Suppose 12487 - 12237 = 30*v + 20*v. What is the third biggest value in t, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) 8 (b) 2\/21 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 21, 5, -5, 3, 903 in increasing order.\nAnswer: -5, -4, 2, 3, 5, 21, 903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -469*m**2 - 12*m - 130*m**3 - 14*m - 19*m + 46*m wrt m?\nAnswer: -780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 7*p**2 + 5. Let m = 37 - 32. Suppose 5*b = -m*u - 0*b, 0 = 3*u - 4*b - 14. Suppose 4*i = 2*f + 18, -u*f - i - 8 - 5 = 0. Calculate g(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 7:56 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -11*x - 42. Let t be q(5). Let z = t - -99. Calculate the smallest common multiple of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 423\/(-33) + (22 - 19).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -334010100 (base 5) to base 16\nAnswer: -166bd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -2\/13 (c) 1\/13 (d) -0.2 (e) 3\/8 (f) -1 (g) 0.18\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1694 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 32*j**2 - 5. Let w be d(2). Let b = -81 + w. Calculate the greatest common factor of 28 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c + 155 = 0. Suppose 4*a = 5*y + 13, 2*a + 3*y + c = -2*y. Let h = 11 - a. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210598600661 - 3\nAnswer: 210598600658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**8\/6720 - i**7\/504 + 7*i**4\/12 - 4*i. Let b(c) be the third derivative of u(c). Let d be 1*1\/(-1) + -3. Calculate b(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 4) + (6 - (7 + -5 - -1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h + 5 = 2*w, 0 = -2*h - 2*w + 20. Suppose 5*f - 5*q = 0, -h*q = 3*f + 10 + 6. Which is the second biggest value? (a) f (b) -0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*16\/11520)\/((2\/(-2))\/3).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (-5 + (-4)\/8*0). Let h(t) = -5*t**3 - 2*t + 1. Give h(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 14. Let q(v) = v**2 + 6*v - 2. Let l be q(m). Suppose -21 = -l*b + 3*a + a, 3*a = 3. Solve 3*r + b + 7 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33893?\nAnswer: 33893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h = -5*c + 23*h - 17, 4*h + 12 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 234*t**2 - 434*t + 46829. Give r(233).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h - 7. Let j be l(-3). Suppose 0 = 3*x - 2*x - j*n - 368, -3*x + 1124 = 5*n. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 95 = 2*g + 24*g. Solve 451 - 491 = g*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a tonne in kilograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100120011021 (base 3) in base 2?\nAnswer: 101101111100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**2\/2 - 2*s - 18. Let c be j(-8). Solve i + 2 = c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 12*z**2 + 8*z + 11. What is the tens digit of i(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 2*d. Solve n = 3*n - 3*b + 22, d*n + b = -21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o**3 - 454*o**2 + 14643*o - 281558883 wrt o?\nAnswer: -6*o**2 - 908*o + 14643","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3161005587 - 8.208.\nAnswer: -3161005595.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27558 and 6?\nAnswer: 27558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -86. Suppose 0*r + r + 4*f = -20, -r - 5 = f. Suppose -5*d - 3*a + r*a = -114, 2*d = 2*a + 36. What is the remainder when g is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w - 8. Which is the third smallest value? (a) w (b) 1 (c) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 11 = -703. Let d be ((-2)\/6)\/((-3)\/171). Let n = m - d. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21453\/4 + 7839. Let r = -2498 + b. Let j = 615 + -1205\/2. Calculate the common denominator of r and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 11841845.\nAnswer: -5, 5, 11841845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*b + 2*z, -5*z + 12 = -2*z. Suppose 4*i + 5*x = 1459, b*i + 0*x - 2*x = 734. What is the tens digit of (i\/15)\/((-1)\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16559+-0.15736\nAnswer: 0.00823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10720.5526 rounded to the nearest integer?\nAnswer: -10721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -8 + (1 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 1233?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4328 is divided by 117.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**3 + 3*o**3 - 2*o**2 - 3*o**3 - 5*o**2 wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 130 = 106. Let q be (-2)\/g + (-4)\/(-4 + 20). What is the nearest to q in -0.2, -3, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279 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: Factor 69*c**3 - 12162*c**2 - 9045*c + 3186.\nAnswer: 3*(c - 177)*(c + 1)*(23*c - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 11:48 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 1. Let m(s) = s**3 - 5*s**2 - 3*s - 6. Suppose 3*x - 6 = -0*x. Let u(v) = x*o(v) - m(v). Does 11 divide u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788517?\nAnswer: 3, 87613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 7*l - 8. Let a be n(10). Let o = a - 11. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) + -1 - sqrt(288))*-6 - ((sqrt(288) + sqrt(288) + (sqrt(288) - (0 + sqrt(288))))*-6 - sqrt(288)))*6)**2.\nAnswer: 67392*sqrt(2) + 1753488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -183, -314, -445?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -4*n**5\/45 - 7*n**4\/18 - 14*n**3\/27 - 2*n**2\/9 - 771. Find z, given that d(z) = 0.\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29501c (base 14) to base 13.\nAnswer: -3b32c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**2 - 25*w - 3. Let o be q(-6). Calculate the lowest common multiple of (-2 - (-365)\/7) + o\/(-21) and (-6)\/8*8\/(-1).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 5*t + 14. Let s = -7 + 1. Does 14 divide y(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 48\nAnswer: -7\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(21\/9) + (-427)\/61?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**6\/30 - 53*o**5\/15 + 9*o**4 - 662*o**2. Factor h(g).\nAnswer: -4*g*(g - 1)*(g + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*l + 1 - 95*l - 1.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(85))\/sqrt(5).\nAnswer: -sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 19. Let w = -6 - h. Sort -0.2, w, -0.1 in increasing order.\nAnswer: w, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + -4 - 0) + 1810. Suppose 5*r - t = 4*b - 7*b, -2*r = -3*b - 717. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 7*x = 45. Let c be -13 + 17 + (-8)\/(-2) + -2. Calculate the greatest common divisor of x and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -578 divided by -4.\nAnswer: 289\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62*p**2 - 2*p**3 - 65*p**2 + 6*p + 3*p**5 + 3*p**4 - 7*p**3.\nAnswer: 3*p*(p - 1)**2*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/(-18) + 17)\/(10\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 5, 177, -1\/4, 15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 + 2*k - 2 - 4.\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 2 - (-5 + -5 + 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2967, 5912, 8833, 11718, 14555, 17332?\nAnswer: 20037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {m: 7, o: 1, t: 10}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 1:30 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 6*n. Give d(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 7*s**3 - 161 - 367357*s + 367357*s - s**2 to q*s + n + v*s**3 + d*s**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 4 - 5)\/((-3)\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -3*q**4\/2 + q. Let p(x) be the third derivative of 1\/60*x**5 + 0*x - 98*x**2 + 0 + 0*x**3 + 0*x**4. What is p(n(l))?\nAnswer: 324*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3181687351?\nAnswer: 19, 751, 222979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 84 = 2*b. Let i = 15 - b. Let m be 15\/(-27)*-3*i. Let s(g) = g**2 - 5*g. What is s(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/5)*z**(-3\/7)*(z\/(z*z*z**6))\/(z*z\/z**(-4\/3))*(z*z\/(z\/(z*(z*z**(-1))\/z*z)))**(-7\/8)*(z*z**(-1\/3))**40 assuming z is positive.\nAnswer: z**(6113\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-3))\/(4\/(-2)). Let v be -2 + (-21)\/(-12) - 0. What is the smallest value in v, 5, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 280*n + 286*n - 1126*n + 285*n + 2 + 284*n. Let a(b) = 88*b. Determine t(a(j)).\nAnswer: 792*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (88 + 94 - 101)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*j - 12203 - 25518 + 6881 = -686*j for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 993825 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4071?\nAnswer: 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-70)\/15*(-6)\/110. Let i = n - 5\/11. Let k = -0.029 + -0.971. Which is the closest to 1? (a) -17 (b) i (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from xdirigp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2733 - -1949.96637?\nAnswer: 1951.23967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 42. Let g = n - 2. Let x = g + 72. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/4 and ((-17)\/(-6))\/((-9)\/135).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/24751036 and -179\/44022.\nAnswer: 816784188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/23 (b) 4 (c) 1\/2 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10010000010001001010111 (base 2) to base 8\nAnswer: -22021127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34494127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 5*q**2 - 7*q - 7. Let h be i(-4). Differentiate -16*u - 4*u - h*u - 13*u - 40 with respect to u.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.544932 + -18?\nAnswer: 71.544932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 24a4 (base 16) to base 2\nAnswer: 10010010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 8:55 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rippipiiiriiiirr. What is prob of picking 4 r?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + -1)\/(-3)*7. Suppose -4*c + 6*c - 10 = 0. Calculate the remainder when 3\/(-2 - o)*-21 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1867 = -5*m - 80, 3*m + 3*o - 1065 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9}. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -37\/9?\nAnswer: -37\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 + 46 + o**4 - 3*o**3 + 0*o**3 in the form i*o**3 + y*o + b*o**4 + c + g*o**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1245, -2493, -3741, -4989, -6237, -7485?\nAnswer: -8733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4 - 7)\/(-3))\/((-2139)\/(-9269))?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -67740 * -0.022\nAnswer: 1490.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 81*n**2 - 2*n + 2. Suppose -10 = -8*z + 9*z + 2*q, -2 = -5*z + 3*q. List the prime factors of p(z).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-14))\/(2\/14). Suppose 0 = 4*w - 5*y - 289, 0 = -y - a + 5. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 164*l - 466. Let z be u(3). Solve -186 = -32*j - z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 20*t**3 - 3. What is the units digit of m(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 842 + 650. Suppose -h = -10*s + 5238. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -5. Suppose 4*f = i + 37. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 110*u = -300, -4*u = 13*a - 11*a - 24 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -42, 0.1 in ascending order.\nAnswer: -42, 0.1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 99966*d.\nAnswer: 3*d*(d - 33322)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 4. Suppose -p*d = -23*d + 465. Calculate the highest common factor of 31 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 15*u - 248. Let k(v) = 8*v. Calculate k(s(z)).\nAnswer: 120*z - 1984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**2 + 2*u - 3. Let h(s) = -s**3 + 12*s**2 + 12*s + 18. Let p be h(13). Let o(b) = 3*b**2 + b - 3. Let n(a) = p*o(a) - 4*v(a). Give n(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b24 (base 15) to base 14.\nAnswer: -cb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.28 + 0.28. Let m = q - -18.006. Let r = m + 0.464. Round r to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -690 + 385 = 61*c. Let y(f) = 1394*f**3 + 204*f. Let m(v) = 34*v**3 + 5*v. Give c*y(h) + 204*m(h).\nAnswer: -34*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -82*q + 159*q - 6 - 81*q + 6*q**2. Let k(c) = c**2. Let r(i) = -h(i) + 4*k(i). Factor r(p).\nAnswer: -2*(p - 3)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 12*u**2 + 14*u - 23. Calculate the remainder when c(11) is divided by (-4)\/(-16) + (-46)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1824\/528 - (-12)\/22. Solve -v - 4 = 3*v + x*u, -u - 1 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -559*c**5\/8 + 12997*c**4 + 6895*c**3\/8 - 336245*c**2\/2 - 310719*c\/2 + 558 = 0.\nAnswer: -3, -1, 2\/559, 4, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-176)\/24 + 6)\/(414\/(-27))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -10122022112220?\nAnswer: -10122022120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 at least 541\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u - 29. Let v be z(-18). Solve b - 3*j = -8*j + 21, -j = 3*b + v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, h: 5, c: 2, y: 1, m: 1, o: 3}. What is prob of sequence cwhm?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -13*q**2. Let f(s) = -5985256*s. Calculate f(b(u)).\nAnswer: 77808328*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*o - 55 + 33 = -100*o - 30 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -3. Let o be -65 + i - (-2 + 2). What is the units digit of 1 - o - 0\/(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 5 (c) -4 (d) -0.1 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 700.9 + -703.9. Sort 0.05, o, -2\/17, 3 in ascending order.\nAnswer: o, -2\/17, 0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27532 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -30, 4, 3 in ascending order.\nAnswer: -30, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5731 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1185 is divided by 393.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 1850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 54*h = 2*h + 1750 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/69 or -1?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1180237 to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + (-11 - -14 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-9) - 0 - (-76)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 75620.14kg?\nAnswer: 75620140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0944 + 65.9056. Let f = 21 + -22. Which is the biggest value? (a) 0.1 (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*q - 18, q - 2*q = -5*j + 18. Suppose -7 = -2*k + j*x, x + 5 = 3*k - 9. Suppose 0 = 4*z - 4 - 4. Solve k*u = z*u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h**2 + 2*h**2 - 2*h**2)*(-2*h + 2*h - h) - 2*h**3 - 2*h + 2*h.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, q: 4, d: 7, b: 3, o: 2}. What is prob of picking 1 q and 1 i?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 2 + 1 + 2)*(0*r + 0*r + r)*(-r + 4*r - 2*r).\nAnswer: 3*r**3 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w - 32*w - 130 = 0. Does 26 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnqqzbwqw. Give prob of picking 1 w, 1 z, 1 q, and 1 n.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252\/36*(-7)\/(392\/(-80)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -g - g + 132, 141 = 3*t + 5*g. What is the highest common factor of t and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23211288.08 rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/20 - 813\/(-1355)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, 289, 3, 235.\nAnswer: -1, 0.2, 3, 235, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -12*p**2 + 19*p + 16. Let a(q) = 18*q**2 - 28*q - 23. Calculate -5*a(z) - 7*w(z).\nAnswer: -6*z**2 + 7*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 194.8 - 337.8. Let z = 33552701 - 33552558.00081. Let l = a + z. What is l rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(13) - -2*sqrt(13)) + 4*(sqrt(13) + -1) - (sqrt(156)\/sqrt(27))\/(-5*sqrt(4)*-2).\nAnswer: 1 + 209*sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 10*z**3 - 6*z + 7112 - 3*z**3 - 7122. Let l(f) = -13*f**3 + 11*f + 20. Determine -11*a(j) - 6*l(j).\nAnswer: j**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000383135 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5411268, -10822546, -16233826, -21645108?\nAnswer: -27056392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u + 252*u + 3153 + 1951 = 0 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 818.49585?\nAnswer: -823.49585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19860 divided by 6?\nAnswer: -3310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 122*t - 362. Give f(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 149400 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 4.5. Suppose -5*q + 3*q = 0. Put i, q, 2 in decreasing order.\nAnswer: 2, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4 + 1\/4*y**3 + 3*y**2 - 1\/2 + 5\/4*y = 0. What is y?\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.21 (b) -2 (c) -5 (d) 10 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -65, -123, -181, -239, -297, -355?\n\"Answer: -58*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Let j = k + -1. Let n(f) = j*f + 0*f - 5*f. Let u(d) = -2*d**2. Determine n(u(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 25*f. Suppose k - 14 + 9 = f. Solve -4*q - 3*r + 12 = -9*q, -5*r + 20 = k*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (62 + -97 - -31)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87 - (37 + -10 + -4 - 17)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from {x: 1, m: 1, r: 1, v: 2, n: 1, f: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.21*-0.4.\nAnswer: -1.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1. Let j(z) = -3*z**3 + 1. Suppose 0 = -0*h + 4*h - l + 25, -2*h = 2*l + 10. Let d(w) = h*v(w) - j(w). Differentiate d(q) wrt q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x + 123*x - 9 + 6.\nAnswer: 97*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 79090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6917088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 11188294?\nAnswer: -3356488.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3, 2*r = -3*z - z - 62. Let f be (1 - 2)\/(z*(-5)\/(-6)). What is the smallest value in 0.4, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 a when three letters picked without replacement from {h: 5, a: 9}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - v**2 + 2 - 7*v**2 + 1.\nAnswer: -8*v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10551401*f**5*q**3 + 240192*f*q**3 - 167*q**3 wrt f.\nAnswer: 211028020*f**3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -322, -740, -1326, -2080, -3002?\nAnswer: -4092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 2, o: 1, z: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001425591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 9. Suppose 7*v - 2*v - q = w, -q + 1 = 0. Solve -4*d + 3*n = v*n + 1, 4*n = -4*d + 24 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -3*o - 250. Let g = -25 - o. Solve 4*p + 4 + 0 = g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 6*b)*(-3*b**3 + 2*b**4 + b**2 + 3*b**3).\nAnswer: -12*b**5 - 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2. Let c(m) = -m. Let v(t) = -2*t**2 + 10*t. Let w(l) = -20*c(l) - 2*v(l). Give w(j(d)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 - -184. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 129360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 955738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -2 - (-842644)\/(-24424). Let x = -2\/3053 - g. What is the common denominator of x and -103\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461256.\nAnswer: 2, 3, 19219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 7*t**2 - 6*t - 11. Let y be u(8). Suppose 0 = 4*j - 97 - 123. What is the greatest common divisor of y and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o - 5. Let k(i) = 9*i + 8. Suppose -4*w + 4 = -8*w. Let r(n) = -n - 1. Let g(t) = w*k(t) - 4*r(t). Let v(q) = -3*a(q) + 4*g(q). What is v(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6246343 + 21?\nAnswer: 6246364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 2:58 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(242)*2)**2 - ((-2 + sqrt(242))*4)**2.\nAnswer: -2952 + 880*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 414 = -113. What are the prime factors of w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16175 + -388. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143.454 + 0.054. Let u = -143 - s. Let m = -0.03 - -4.03. Which is the closest to 0? (a) m (b) 45 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 9*p**2 + 13*p + 7. Let i be s(7). Suppose i = -4*d + 1143 - 235. What is the second derivative of -227 + d + 8*g - 2*g**2 wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 3*j**4 - 15*j**5 + 27*j**4 - j**2 - 5*j**3 + 2*j**3.\nAnswer: -3*j**2*(j - 1)**2*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/((-165)\/(-8))*18\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from suusuusuuuuuussuuuu. What is prob of picking 4 s?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (1 + -2 + (1 - 0) + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, 5, 11, 0.2 in descending order.\nAnswer: 11, 5, 1.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**4 + 4*v**4 + 3*v**4 + (20*v**3 + 26*v**3 - 12*v**3)*(-11*v - 2*v + 7*v).\nAnswer: -202*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**2 + 1. Let v(a) = -3*a**2. Let n(d) = 4*r(d) - 5*v(d). Let m be n(0). Suppose 0*s + 2*s + m = 0. What is the biggest value in 0, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -92*v**2 + 1. Let d be a(1). Which is smaller: d or -89?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10894 and 3451266.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-16 - -30) + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by -46.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 2. What is the remainder when 3 is divided by p(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.52*-8\nAnswer: 12.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -308238, -0.2, -1\/10, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 1260800?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 129 - 53*z - 68 + 177 + 150 + 6*z**2 + 171 wrt z?\nAnswer: 12*z - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = 18. Let f = k + 12. Suppose 0 = o - y - 22, 3*o - f = 4*y + 38. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*y**2 - 14*y - 14*y - 4 + 12*y = 0. What is y?\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-5)\/9)\/((-154)\/693).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -231701.861 - 578165.934. Let l = -809878.79500022 - s. Let w = 11 + l. Round w to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 59 - -58 - 44?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 574982652 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 60 = 12*d, -20 = 3*d - 2. Solve -24 = j + 2*j - 3*m, -3*j + h*m = 25 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 7 = 3*p + 8, p = -3*x - 5. Suppose 3*y - 14 = -b, x = -b - 2*y + 4*y - 6. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5083 - -9349. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4058?\nAnswer: 2, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 15. Suppose 0 = -p + 7 - t. Suppose m + 2*l - 27 = -3*l, 0 = m + p*l - 30. Calculate the highest common divisor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 - 0.2. Let t = -0.6 + k. Put -0.1, 0, t in descending order.\nAnswer: t, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 5*x + 4*x**3)*(-6 - 2*x + 3 + 2) + (0*x - 5*x**2 + 0*x)*(-2*x**2 + 2*x**2 + x**2) + 0*x**4 + 6*x**4 - 4*x**4.\nAnswer: -11*x**4 - 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48037409 and 298369?\nAnswer: 48037409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {j: 1, h: 1, t: 2, w: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 980048 and 874?\nAnswer: 428280976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhwhrhhthhhhrhrtr. Give prob of picking 1 r, 1 d, and 1 h.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*m + 130535 - 373208. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Suppose m = 5*d - 50. Suppose -v = p - d, -5*v + 5 = p - 29. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 968.8625 + -1256.86703. Let n = -288 - w. Round n to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 98 = 2*n, 3*i = 4*n + 330 - 152 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, z: 4, q: 1}. Give prob of picking 1 q and 3 x.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2 - 916*w + 1828*w + 6 - 916*w. Give s(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 16*f**2 - 28*f + 40. Let q be m(14). Which is the second smallest value? (a) q (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 16*j + 7 = -l, 0 = -5*l + j + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*g**2 + 1 + 11 + 11.\nAnswer: 34*g**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(6\/5)\/z)*z)\/(z\/(z*z\/(z*z**(-2\/7))*z))*((z*z*z\/(z\/(z**6\/z))*z*z)\/z)\/z**10 assuming z is positive.\nAnswer: z**(38\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -987456329233*d**2 - 8*d**3 + 987456329233*d**2.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11747322*g - 102475573 wrt g?\nAnswer: 11747322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 966 + -964. Sort f, -158, -1, 1 in descending order.\nAnswer: f, 1, -1, -158","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -204 + 304. Suppose 0*w + m = 4*w. What is the remainder when 48 is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from ttvvtvvvvtvvvvvvvvv?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -16, 1, -4\/103, 0.044?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8912*d**3 - 4605*d**3 - 4562*d**3.\nAnswer: -255*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-294)\/28)\/(-21)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-6 - -15) + (-13 + 19 + -5 - -108).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**5\/10 - 608*k**4\/5 + 14672*k**3 - 85001*k**2 + 1541199*k\/10 - 418347\/5 = 0.\nAnswer: 1, 2, 3, 129, 1081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x = 14*x - 72. Let h(a) = a**3 - 9*a**2 + 8*a + 11. Let z be h(8). Suppose 3*v = -23 + z. Put 5, -5, v, x in descending order.\nAnswer: 5, v, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -26*c + 183. Suppose 5*k = 743 + c. Is k a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*-1*sqrt(66)*-2*3)\/(2*3*(sqrt(726) + (sqrt(726) - (sqrt(726) + -1*sqrt(726) + sqrt(726)) - sqrt(726)) + sqrt(726))).\nAnswer: -6*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/3 + 2*f**3 - 2*f**2\/3 - 2*f.\nAnswer: 2*f*(f - 1)*(f + 1)*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1498765013 and 1498765012 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-9) - (-136)\/(-36). Let c = v - -11. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -76644, -153297, -229948, -306597, -383244, -459889?\n\"Answer: w**2 - 76656*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -902 divided by 82?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12172663, -24345311, -36517947, -48690571?\nAnswer: -60863183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 59 = -6. Suppose -4*x - 32 = -4*t, -5*t + 2 = 5*x - 8. What is the remainder when q is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 13*y + 37. What is g(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -10, -w - 411109 + 109032 = -3*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 97665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 770*n - 2*n**2 - 770*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 1\/5, 108, -2\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 403130.2 centuries in years?\nAnswer: 40313020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 332810043*i*r**3 - 2*i*r**2 - 4*i + r**2 - 16654082 wrt r?\nAnswer: 1996860258*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 529 + -367. Calculate the remainder when p is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (370\/18)\/((-172)\/903). Let p = u + 431\/4. What is the second biggest value in 1, p, -3\/7, 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 8*x**2 - 10*x - 11. Let i(s) = s**2 + 9*s + 13. Let k be i(-4). Let u be g(k). Suppose 3*j - 80 = u. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 12:44 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g. Let m(d) be the second derivative of 4*d + 0 + 0*d**2 - 1\/6*d**3. Calculate q(m(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -1225*a - 7713. Give g(-6).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 6:35 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2 = -2*u + 12, 3*t - 16 = -4*u. Let h(c) = -20*c**2 - 20*c - 37. Let m(l) = 7*l**2 + 7*l + 13. Let v(s) = 6*h(s) + 17*m(s). Calculate v(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.048 - 15.948. Let m = 16 + v. What is the closest to 0 in -0.4, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 27*v**2 - 3*v - 9. Calculate the remainder when 95 is divided by j(-27).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*j**2 - 12*j**4 + 3*j**5 - 6*j**2 + 18*j**3 - 10*j**2 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203400303 (base 5) to base 13\nAnswer: 235876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-16 + (-1353)\/(-84))*(42\/(-36) - -1).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/57*3\/72. Let b = u - 1445\/152. Find the common denominator of (-2907)\/180 + (-4)\/(-10) and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6323043 (base 8) in base 11?\nAnswer: -a489aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbhbhhahh. Give prob of sequence bbb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gptngux. What is prob of picking 1 t and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1997913 and 22158?\nAnswer: 11987478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 o, 1 p, and 1 f when four letters picked without replacement from {o: 2, c: 1, b: 1, f: 2, y: 2, p: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 2*s - 29)*(-3 + 0 + 0) - 2*s - 2*s + 3*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*9\/693 + (-46)\/(-110)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**3 + 4*a**2 - a - 1. Let n be r(-4). Let k be n\/(-35) + 16\/(-28). What is the lowest common multiple of 42 and (k\/(-9)*-16)\/((-9)\/(-27))?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -7*q - 6. Let d be 42\/28 - (2\/(-4) + q). Solve 0 = -n + 2 - d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x**5 - 155*x**4 - 394*x**3 + 623*x**2 - 14*x - 48 = 0.\nAnswer: -8, -6, -1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuunnn. Give prob of sequence nnu.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**3\/3 - 7*f + 3. Let z(n) = -30*n**2 - 10*n - 88*n**2 + 17*n**2 + 10*n. What is i(z(r))?\nAnswer: 202*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 11*s**2 + 9*s + 2. Does 3 divide w(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*l + l - 3*l)*(-1 - 3 + 3) + 3*l - l + 0*l + 3*l - 3 + 1 - 2*l)*(-14*l - 9 + 9)*(3*l**2 + l**3 - 3*l**2).\nAnswer: -28*l**5 + 28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 - -70. Solve -4*h + 29 = -5*z, -4*h - r = 3*z - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5320*z - 35. Let k(h) = -10639*h - 69. Let s(n) = 2*k(n) - 5*w(n). Is s(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -344 + 358*b + 346*b - 589 - 1483*b with respect to b.\nAnswer: -779","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30 - -7) + -154 - -40\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*m - 25 = 0, 0*k + 3*m = -5*k + 30. Solve -k - 2 = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*f = 52*f - 2*l, -5 = -2*f - l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8\/5 - -146\/85. Let h = 60705.02 - 59992. Let k = h - 713. Which is the nearest to -0.2? (a) k (b) i (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (71 + (-161 - -94))*3\/(-116)?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 13) to base 7\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1\/4 - (-621)\/756?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 + 42*m**2 + 4. Let n be r(-21). Let w be 34*(-8)\/(n\/4). Let j = w - -518. List the prime factors of j.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 1. Let v(k) = -k**3 + 9*k**2 - 7*k + 4. Let n(l) = -v(l) - y(l). Let j be n(7). Which is greater: j or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6004*p + 6004*p - 118*p**2)*(-42*p + 42*p + 9*p**2).\nAnswer: -1062*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 149 + 11 - 38.\nAnswer: b**2 + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240030 (base 5) in base 11?\nAnswer: 17363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 8. Let b(n) = -2*n**2 - n. Let d(f) = -f**2. What is j*b(m) + 7*d(m)?\nAnswer: -m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 15, 3*o + 5*d = -o + 5389. Suppose -o = -4*z + z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-eight fifths of a meter?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p - 4*h + h - 46, -2*h - 4 = -2*p. Solve -29 = -5*z - 2*r, p*z - 2*r - 10 = 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 10) to base 7\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 12. Let o be k(-5). Let f = o - 101\/6. Let i = -0.31 - -0.01. Which is the closest to -1? (a) 5 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 37*q**2 + 36*q + 2. Determine g(-36).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 20*r**3 - 11*r**2 + 45*r - 11. Let x(t) = -4*t**3 + 2*t**2 - 9*t + 2. Determine -2*o(v) - 11*x(v).\nAnswer: 4*v**3 + 9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*a, 3*a = 5*h + 2*a - 60342. Let z = h + -62569. What is z rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2821*p**4 + 17*p**3 - 11*p**2 - 1475037*p.\nAnswer: -33852*p**2 + 102*p - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8205 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2))**(-48)\/((y**(-3)\/y)\/((y*y\/(y*y**(-2\/3)))\/y)) assuming y is positive.\nAnswer: y**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsjjjoqqqqjuqjqiisjj. What is prob of sequence oj?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppt when four letters picked without replacement from pitiffptltppllpi.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-23)\/(-46) - 581\/(-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 - 58. Suppose h*v - 2*p = 3*v - 746004, 2*v - 5*p + 746010 = 0. What is v rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.646 - -35.662. What is p rounded to 0 dps?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0 + 4. Suppose s + 3 = h*s. Suppose 2*j = 4*j - 4. Solve -s = 3*m + j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 8*q + 1. Suppose f = -u - 4*u - 15, 25 = -5*u. Let h be z(f). Let j be ((-26)\/5)\/(45\/((-3825)\/34)). Solve -2*n = -j + h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2821 is divided by 1168.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 5) in base 13?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5533, 5532, 5531?\nAnswer: 5530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1.9, 2\/3, 59\/4, -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3280.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10*u - 24. Let f be h(-2). Let k be 2\/(-5) - f*349\/(-10). Let g = k + 361. What are the prime factors of g?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003935 divided by 635?\nAnswer: -1581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1509 - 1123. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 4*w - 5*w - 2 + 3*w. Let r = -5 + -12. Let q(h) = 4 - 2 - 8 - 20*h. Determine r*v(n) + 6*q(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135 - -135. What is the smallest value in -1\/5, -5, -2\/15, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 - 14*h + 11. Let r be (-5)\/(-15) + 4\/(-3) - (-13 - -7). Give j(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-95)\/(-40)) + (-25347)\/5112 + (-24)\/(-3)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 4 + 4 + -2. Suppose -38 = -4*c - c + 3*p, 20 = y*p. Suppose 4 = 2*u + 5*z, z - c = -5*u - 0. Calculate the remainder when u is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -331270, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2508.7069 to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/22)\/((-7)\/(-315)). Let h = i + 884\/33. Is 6 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 37728*z**2 - 63*z + 189. Let m(o) = 2358*o**2 - 4*o + 12. What is -4*g(v) + 63*m(v)?\nAnswer: -2358*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Let c(s) = 4 + 2*s + s - 3*s + s. Let i be c(w). Solve 0 = 4*a + 2 + i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 11. Let n be 2\/5 - 55\/(-50). Is n < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + y - 9*y**2 + y + (-3 + 3 - y)*(-7 + 4*y + 7).\nAnswer: -14*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + d**2 - d - 2. Let h be o(-3). Let z = 75 - h. Let n = z + -23. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 24*c - 104. What is w(4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4554 and 8118?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -c6 (base 13) to base 4\nAnswer: -2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1792*k**2 + 2. Let a(f) = 3*f**2 - 2*f. Give a(v(s)).\nAnswer: 9633792*s**4 - 17920*s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5932*p**2 + 83 + 5937*p**2 - 127*p**3 - 1295*p**3 wrt p?\nAnswer: -8532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from {e: 2, y: 1, g: 1, b: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from iiiriwiiriww?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-140)\/12 - -5\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**6\/480 + 3*w**5\/40 + 9*w**4\/8 + 19*w**3\/6 - 6*w**2. Let q(p) be the first derivative of l(p). Factor q(g).\nAnswer: 3*(g + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8 = -0*d. Suppose -10 = -d*n + 2. Suppose -3*p = -5*u - 46 + 15, u = -4*p + n. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.209279248 - 1.790721462. Let q = 2 + l. What is q rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = -y + 36. Suppose 3*n = y*r, n - 10 = -5*r + 2. Suppose -h + 3 + 0 = 0. What is the highest common factor of h and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 9:36 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120210 + 22?\nAnswer: 120232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92030 + 152239. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 926318 and 9199296?\nAnswer: 266779584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b - 19. Let r(l) = 2*l**2 + 94*l + 355. Let q be r(-4). What is f(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 4*h - 26. Let w be t(-3). Which is the nearest to -0.2? (a) 11 (b) 5 (c) w (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12699 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-7) + (-198)\/126. Let n be 4 + -9 + 18 - 2*b. Solve q + 2*q = c + n, c - 4*q = -19 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o**5\/5 + 89*o**4\/5 + 649*o**3\/5 + 611*o**2\/5 + 12*o = 0 for o.\nAnswer: -4, -1, -1\/9, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 4*t**2 - 2*t)*(-2 + 3 + 3 + 5 + 0 - 3 + (1 - 3 + 1)*(2 - 3 - 1)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6515674 + 1747\nAnswer: 6517421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 37\/5) + (-448)\/(-56).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114762871.\nAnswer: 29, 38440099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 10*v - 2. Let w be q(10). Let p be (-14)\/(-6) - w\/3. Suppose -p*u = u - 24. Let c(d) = d**3 - 7*d**2 + 7*d - 5. Determine c(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*d + 2 = -818, -413 = -2*w - 5*d. What is the greatest common divisor of w and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2294829?\nAnswer: 3, 107, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 23. Let o = h - -15.16. Let i = o - 0.1599. Round i to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11139203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**6\/360 - p**3\/3 + 3*p. Let j(k) be the second derivative of s(k). Let c(b) = -24 + 2*b + 3*b + 24. Give c(j(v)).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((0 + -2*sqrt(720))**2 + sqrt(720)).\nAnswer: 48*sqrt(5) + 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 314676415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1211 + 1031?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (6*(sqrt(931) + 3 + sqrt(931) + 0 + 2*(-4*sqrt(931) + sqrt(931)))*6)**2)*-5.\nAnswer: -96584375 + 1088640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v - 24. Let m be u(6). Let y be -43 + (2 - m)*-1. Let s = y - -57. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + 3*w - 6*w + (2 - 4 + 3)*(-9*w - 8 + 8))*(0 + w + 0) in the form c*w**2 + x*w + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/6 and 4\/(-12 + 4) + 33\/(-72).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -16 + 11*v - 3*v + v**3 + 6*v**2 - 2*v**2 - 3*v**3 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65957700 to the nearest 100000.\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 13 = -3*k, g - 130 = 5*k - 147. Calculate the smallest common multiple of k and (-140)\/8*(-16)\/28.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -592734, -1185525, -1778316, -2371107?\nAnswer: -2963898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 64*a - 8. Let u be c(2). Let n be 8 + (u\/5)\/(-6). Solve -n*j - 3 - 17 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 832 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -13*x + 36 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2993 - 1534 - 1539 = 8*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t + 22. Let y(f) = -11*f - 45. Let x be ((-2)\/(-12))\/(-3 + 56\/21)*-4. Give x*y(p) + 5*r(p).\nAnswer: 3*p + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -1. Let l = 19 - y. What is the remainder when l is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/80*(-1)\/1*-10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 4\/461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -14 + 1 + (-2 - -7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 5*q = 12, -1 = 11*u - 2*q - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**2 - v**2 + 3*v**2 + (3 - 9 + 8)*(5*v**2 - 3*v**2 - 3*v**2).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 15*b + 4*b + b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4377 + 4376. What is the second biggest value in -2, g, 0.0888?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32130 - 11?\nAnswer: 32113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 213359453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 + -146\/3. What is the nearest to 0 in 5, 4\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-10))\/(-7*(-19)\/(-1330)). Sort -3, w, 105 in descending order.\nAnswer: 105, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51242, -51175, -51108, -51041, -50974?\nAnswer: -50907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -108922*i**3 + 4*i**2 - 51*i - 933269786 wrt i?\nAnswer: -326766*i**2 + 8*i - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*b, -459 - 611 = 5*u + 3*b. Let p = -143 - u. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 28, 67, 132, 229, 364, 543?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12171837 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 prob of sequence kag when three letters picked without replacement from {m: 1, g: 5, a: 1, k: 2}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -1.5729, 3\/2, 8\/5?\nAnswer: -1.5729","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*25.7\nAnswer: -12.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 44 and 15999823?\nAnswer: 15999779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(3)*-1))\/(2*sqrt(32)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111470 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1677 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 4*i - 6. Suppose 5*z + 11 = 26. Suppose z*r - 6 - 12 = 0. What are the prime factors of c(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s + 9 - 9*s**2 - 5 + 18*s**2 - 11*s**2 as p*s + y + b*s**2 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 33888257482551.\nAnswer: 33888257482554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*v + 2830 = 53633, -101605 = 4*z + 5*v. Round z to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13660 by -4.\nAnswer: 3415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.24 - -0.28. Let q = 30 - 175\/6. Let z = -13\/12 + q. Which is the third smallest value? (a) -1 (b) z (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -63, -6\/25, -4, -70 in increasing order.\nAnswer: -70, -63, -4, -6\/25, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1.0837 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*l**5 - 16*l**3 - 6*l**5 + 41*l**5.\nAnswer: 4*l**3*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l\/(l*l**(-1\/5)))*l**(4\/17) assuming l is positive.\nAnswer: l**(3\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a week in hours?\nAnswer: 2982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19175.\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1176\/490*21060\/(-624)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 322731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -4, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -5 (c) 5 (d) 2 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 0*h - 3. Suppose 120 = 5*y - 9*y. What is the least common multiple of h and (y\/(-6) + 0)*(1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 > 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.18755 + 6.18755. What is the closest to 0 in 0.1, -2\/31, s, -3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 55*a - 11851 = -11*a - 13156 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3 - i + i**2 - i**2 + i**2. Let o be s(3). Find the third derivative of 0*k**3 + k**2 + k**o + 0*k**2 wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-14))\/((r\/(r\/r**(-22)*r))\/r*r)*r**(-22\/9)\/(r*r\/(r\/(r*(r\/(r**(-1)\/r))\/r))) assuming r is positive.\nAnswer: r**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) + sqrt(459)*5)\/(1*sqrt(75)) + ((sqrt(153)*-2)\/sqrt(9) - (sqrt(17) - ((sqrt(204)*-1)\/sqrt(12) + sqrt(17)))))**2.\nAnswer: 17\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1321202222 + -1?\nAnswer: 1321202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11118744 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31853164 divided by 4550452?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + 9*b**2 - 9*b**2 + b + 0*b**2 + 0*b**2 - 12*b**3 + 382*b - 382*b - 53*b**3 + (-b**2 - b**2 + 4*b**2)*(-b + 2*b + 0*b) + 0*b**2 - b**3 + 0*b**2.\nAnswer: -65*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(640\/32)*-23.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2018*h + 953. What is the ten thousands digit of p(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-11)*v*(v*v*v*v**(-11))\/v*v**0\/((v**7\/v)\/v))**(-1\/6))**4 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3\/10)*d)**(-29))**(-1) assuming d is positive.\nAnswer: d**(493\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 0*m + 132. Let f(r) = 2388*r + 21599. Calculate the remainder when f(-9) is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -8) + 40 + 81 - 14?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*k - k. Suppose -4*w + q = -415, -2*q - 435 = -4*w - k*q. Suppose -f = 3*a - w, -4*a = 2*f - 3*f - 147. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146350 is divided by 72934?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 5:32 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5 = -1. Let g = 1 - v. Let d(f) = -2*f**2 - 208*f + 5247. Let m be d(-125). What is the closest to -0.5 in g, m, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 25 = -5*d. Let i be d*(-39)\/15*3. Let b = -6 + i. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -285 - -488?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 6*f**2 + 17*f. Let k(q) = -3*q**3 + 11*q**2 - 34*q. Let z(c) = -11*d(c) - 6*k(c). Find the second derivative of z(h) wrt h.\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 + 11*y**2\/4 + 13*y\/2 + 4.\nAnswer: (y + 1)*(y + 2)*(y + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112)*-5*-3)\/(-3*sqrt(11)*-1 + (sqrt(132) - (sqrt(132) + sqrt(132)*-1))\/sqrt(12)).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 17 = -802*w + 798*w, 0 = 5*f + w + 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36271 and 689377.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(5) + -2 + 3)**2 - (sqrt(25)\/sqrt(80) + -3)**2.\nAnswer: -69\/16 + 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfsssawssssss. Give prob of picking 1 f, 1 a, and 1 s.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obu when three letters picked without replacement from {o: 1, b: 9, u: 4}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 486.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 18 + (4 - 11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + 4*sqrt(3) + 0.\nAnswer: 6 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w - 32*w + 13*w + 163940. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 - 11 + 2*y + 0.\nAnswer: 2*y - 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148 at least as big as -488522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 225945 and 225949 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4351 rounded to the nearest one hundred?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 511?\nAnswer: 510.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 3. Calculate s(-27).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 2, 1, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 10. Let w be s(-5). Let u be (w\/(-9))\/(5\/(-15)). Suppose 8\/3*d**2 + 2\/9*d**u + 26\/9*d**3 + 0 + 8\/9*d + 4\/3*d**4 = 0. What is d?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*r = 4*m - 56, -2*m + 37 = -r. Let b(x) = 24*x + 115. Let d be b(-4). Is d less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -8*j**2 - 5*j - 1. Let h be d(-2). Suppose 0*b + 2*b = -4*r + 86, 4*b + 3*r - 152 = 0. Let u = h + b. What is the greatest common factor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 - 93. Let z(d) = 5*d**2 - 4*d - 13. Let s(j) = 5*j**2 - 4*j - 15. Let a(k) = x*s(k) + 7*z(k). Let p(m) = -m**2 + m. What is 2*a(l) + 11*p(l)?\nAnswer: -l**2 + 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - 2*l = -525. Suppose 0 = 20*t - l - 25. Solve t*m + 2 = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 3*j - 30. Let r be j\/4*(-220)\/66. Differentiate -6 + r - 3 - 7 + 2*w**2 wrt w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + -4 + -5*(0 + sqrt(425)) + 0)**2*-4.\nAnswer: -170016 + 800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 326 or 128375\/392?\nAnswer: 326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(2\/7))\/o**(1\/7))**(5\/16))**(10\/7) assuming o is positive.\nAnswer: o**(25\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -519.6 - -523. Which is the nearest to 0? (a) 6 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 740*t - 11*t**4 - 3 - 741*t to c*t + k + m*t**2 + v*t**4 + b*t**3 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10574.\nAnswer: 2, 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, c: 8, x: 1, a: 4}. What is prob of picking 2 a and 1 y?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4136 and 94?\nAnswer: 4136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1397*h**3*j**3 - 88207*h**3*j**2 + 6*h**2*j**4 - h*j**2 wrt j.\nAnswer: 8382*h**3 + 144*h**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -824261\/10 - -82559. Let i = j + -133. Does 0 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -5*c**3\/6 + 5*c**2\/2 - 6*c. Give j(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 4 + 7 - 9*k**3 + 5*k**2 as r + q*k**3 + s*k + v*k**2 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -4 (c) 13301\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3.1. Let m(n) = -n**3 - 6*n**2 - 6*n - 6. Let x be m(-5). Let w be x\/(-2) - (-7)\/(-10). Which is the closest to y? (a) -2\/9 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 2. Let z = 37 - 35. Let c(l) = -2*l + 1. Let y(a) = z*c(a) - 3*n(a). Give y(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-3 + -2 - -3) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 21 = 5*o. Let c(l) = -4*l**2 - 3*l - 10. Let g be c(o). Let n = 181 + g. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 u, and 2 n when four letters picked without replacement from uqnujjnujuhujuuuunn.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 10:57 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 3*j**3 - j**3)*(j**2 - 5*j**2 - 9*j**2).\nAnswer: -39*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14662695, -14662695, -14662693, -14662689, -14662683, -14662675, -14662665?\n\"Answer: v**2 - 3*v - 14662693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-512)\/40)\/8)\/((-2)\/5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*u + 6. Is (8*u)\/((-1)\/1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (159\/(-1166))\/(3\/(-2))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6301 + -6297. What is the highest common divisor of b and 1800?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/6*(-7 + 28\/7). Let b(s) = -36*s - 21. Let v(j) = -7*j - 4. Give o*b(r) + 21*v(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*a - 1, -5*p + 2*p = -5*a - 11. What is the smallest value in -9, -1\/3, a?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1621089*m**2. Let d(z) = -17*z. Give d(a(t)).\nAnswer: 27558513*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/98 + (-3485952)\/(-74137).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*h - 17*h - 199269 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and (-42)\/(-112) - 1173\/(-8).\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-28)\/(84\/(-6)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (3 + sqrt(2736)*3)**2).\nAnswer: 864*sqrt(19) + 98544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/8)\/(l**(1\/4)\/l))\/(l**0*l*l\/(l*l\/(l**(-1\/5)\/l))) assuming l is positive.\nAnswer: l**(63\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 14*t**2. Let r(l) = 0 + 8 - l - 8. Give n(r(i)).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5536, -22225, -50070, -89071, -139228?\n\"Answer: -5578*b**2 + 45*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 9832 - 9829. Suppose -4*m + 2*m = -5*a + 15, a - 2*m = -5. Solve -r*s = -4*v + 20 + 6, -v = -a*s - 15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/2*4 + 0. Let i = t + 39. Let z = 12 + -5. What is the remainder when i is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 z when three letters picked without replacement from jjzj.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0129872 to 5 decimal places.\nAnswer: -0.01299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3 - 86589*a**2 - 5293668*a + 16660224 = 0.\nAnswer: -64, 3, 28924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/9160 and -149\/115416.\nAnswer: 577080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 362*a**2 - 15*a + 2. Let g(m) = 2*m**2 - 6*m. Give -3*g(i) + w(i).\nAnswer: 356*i**2 + 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + (-42 - -74) - (2 + -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + c?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13041\/5 + 2631. Let t = 23 - f. Let l(z) = z + 6. Let h be l(-5). Is h < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 4*c**2 - 4*c**2 + 0*c**3 + 6*c**2 + 2. Let d be b(-3). Suppose 3*r = -2*z + 83, -z = 2*r - 3*r - d. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 (base 10) in base 8?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 5. Let p = -4 + -1. Let j be n(p). Let h be j + (2 - 6\/2). Solve 2*v + 0*v = 5*r + h, 3 = 4*v + 5*r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73 - 74. Let m = s + 151. Let l = 8 + -13. Which is the closest to 0? (a) -0.1 (b) l (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*t**3 + 40*t - 4 + 5*t**2 + 0 + 0 + 41*t - 82*t to v + p*t + k*t**2 + r*t**3 and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9434\/7? (a) -2\/3 (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/4 and -15\/25664?\nAnswer: 25664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**4 + l**3 + 361405*l + 41043920 with respect to l.\nAnswer: 8*l**3 + 3*l**2 + 361405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1172754732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 287707 + -189936. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 times 18579?\nAnswer: 7468758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcjfac. What is prob of sequence jc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 + (17 - (-20 - 327980)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3174920 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 754072466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -9 in descending order.\nAnswer: 1, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18863.439 months in millennia?\nAnswer: 1.57195325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usumb. Give prob of sequence ums.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15637*n**3 + 5*n**2 - 596*n + 1 wrt n?\nAnswer: -93822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-261)\/(-243) - 1)*18.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.64 times -0.06\nAnswer: 0.0384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (6864\/495)\/(-52)*(-60)\/18?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2170730153 to the power of 1\/3, to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1906*n + 2*d - 7 = -1901*n, -2*n - 2*d = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Let p(y) be the first derivative of 7*y**6\/360 - 11*y**3\/3 + 15. Let j(g) be the third derivative of p(g). Give j(s(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -51*z - 9*z**2 - 12*z**2 - 48*z + 18*z**2. Let l(j) = -j**2. Determine w(l(m)).\nAnswer: -3*m**4 + 99*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*w = 14 - 0, 4*w = -5*n - 17. Which is bigger: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 1, r: 2, m: 1, u: 1, k: 2}. Give prob of picking 2 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 3*u - 18 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 10 = j, -4*t = -3*j - 2*j + 8. Let y be (-4)\/(2 + t + -1). Suppose -3*a + 35 = 5*l, y*l = 4 - 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 - -88. What is the smallest common multiple of g and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 11:04 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z + 2. Let u(k) be the first derivative of -2*k**2 + k + 15. Suppose 2*a - 2 = 5*a + 5*c, -4*a = c - 20. What is a*b(s) - 10*u(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 50 = -2*u. Suppose -4*p = p - u. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 4, -117*g = 2*x - 113*g - 18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h**2 + 10*h**2 - 40 - 5*h**5 + 39*h**3 + 23*h**4 + 31*h**3 + 2*h**4 - 65*h + 5.\nAnswer: -5*(h - 7)*(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3748 = 3*m + 52*l - 48*l, 4*l - 6268 = -5*m. What is the greatest common divisor of 21 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 + -5.05. Let c = -143.082 + 0.082. Let o = c + 142. What is the closest to o in x, 1\/8, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-28)\/16*-2*(-67)\/(37520\/72).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13829670 by 45.\nAnswer: -307326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2, 3*v + 5*h - 10 = 5*v. Let i be (-685)\/v - (-9)\/(-18). Calculate the highest common divisor of i and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - u + 95. Let m(d) = 3*d**3 - d**2 - 2*d + 3. Let v be m(1). Suppose -v*s = -2*s. Is q(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-13)*(j*j**(9\/5))\/j assuming j is positive.\nAnswer: j**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i*o**4 - i*o**2 + 116*i*o + 8*o**4 - 6*o**3 wrt o.\nAnswer: -24*i*o + 192*o - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 296*v + 399*v - 398*v in the form j + z*v and give z.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1765\/324 + 16\/81. Put k, -3, 3 in ascending order.\nAnswer: k, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 34404242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 311*q + 626.\nAnswer: -(q - 313)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10065 divided by 11\nAnswer: -915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.22 + -0.12. Put p, 9, 0.2 in decreasing order.\nAnswer: 9, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from dtdttddttddtt.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 278 + -278. Let o(q) be the second derivative of n - 1\/54*q**4 - 2\/9*q**2 + 1\/9*q**3 + 7*q. Factor o(i).\nAnswer: -2*(i - 2)*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -631 or -629?\nAnswer: -629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*((-18)\/(-5))\/3. Let t(j) = 3*j + 24. Let u be t(-7). Let p be (u\/(-9))\/((-5)\/30). Solve -5*g = b*o - p*o - 6, 3*g - 4*o = -22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3348514313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -2.7, 4, 4\/13, 5\/2, 0.1, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135 + -125. Let t = 11 + -7. Suppose -t*r - 3 = -19. What is the remainder when n is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-4))\/(d*d*((d\/(d\/(d**2*d)))\/d)\/d))\/(d**5*(d*d*((d*d**2)\/d)\/d)\/d)*(d\/(d*d**(-1))*d**(-2\/3))\/(d**(2\/7)\/(d*d\/d**(-2\/3))) assuming d is positive.\nAnswer: d**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14737769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6.24. Let d = 0.159 - 0.479. Let j = u + d. Which is the third biggest value? (a) 0.3 (b) j (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 13) to base 5\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1656 - 1657. Which is the nearest to 4? (a) -4 (b) 2\/27 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*r - 5786 - 2 = 3121 + 1927 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 128540 - 128542. Let f be ((-11)\/6 - -2)*3. Put 2, k, f, 5\/2 in ascending order.\nAnswer: k, f, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 945 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.413 + 4.413. Let w = 0.2 - 0.1. What is the closest to w in i, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 1. Suppose 5*o = 2*y + 8, -4*o = -0*o - 5*y - 3. Let l be x(o). What is the highest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.5 + -6.5. Which is the second biggest value? (a) 4\/7 (b) 29 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -56289386759 and 0.5?\nAnswer: 56289386759.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*j + g - 226074 = 48*j, 0 = -2*j + g + 113028. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-952)\/84)\/((5\/3)\/(10\/(-80)*-60)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1881197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l**2. Let d = -77 - -79. Let i(x) be the first derivative of -d + 1\/2*x**2 + 0*x. Give r(i(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 9:09 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 4 + 1)*(-3*k**2 + k**2 + 3*k**2 + (4*k**2 + 2*k**2 + 4*k**2)*(-2 + 0 + 3)).\nAnswer: -143*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -15*j**3 - 45*j**2 - 55*j - 15. Let b(i) = -7*i**3 - 22*i**2 - 27*i - 8. Let t(x) = -5*b(x) + 2*p(x). Let t(d) = 0. What is d?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 93005.0844?\nAnswer: 93004.5844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.83 + 9.75. Sort -1\/4, y, 2\/3 in decreasing order.\nAnswer: 2\/3, y, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -237091*m**2. Let y(d) = 8*d. What is n(y(u))?\nAnswer: -15173824*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/191655 and 55\/549411.\nAnswer: 8241165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 2*i - 58, 0*i - 22 = -b + 2*i. Let s = 43 + -30. Let g = s - b. Which is smaller: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 28 = w, 4*v = 5*v + 5. Sort -11, -2, w in descending order.\nAnswer: w, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 667 = -2*g - 677, 2*s - 4*g - 2 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/221678504 and -47\/20.\nAnswer: 1108392520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 11) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v**3 + 7*v**2 - 5*v - 5. Let t(o) = 7*o**3 + 4*o**2 - 3*o - 3. Let j(d) = -3*m(d) + 5*t(d). What is the third derivative of j(x) wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71596*k**5 + 8943*k**2.\nAnswer: 4295760*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5\/3, -108, 0, -0.5.\nAnswer: -108, -13, -0.5, 0, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/10)\/((-2)\/5). What is the tens digit of 99\/m - (-8)\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2.23 (b) -0.2 (c) 20 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1086809*f**3 + 2*f**2 - 302360?\nAnswer: 6520854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 26. Suppose 0*s + 252 = q*s. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((1540\/(-266))\/22*12\/30)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 4*k - 3. Suppose 20 = -5*x - 0*x - 3*u, 0 = -2*u. Let r be g(x). Let a(s) = -3*s**3 - 5*s**2 - 2*s + 4. What is the tens digit of a(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*m - 3*m + 11, 0 = 5*s + 3*m - 30. Suppose s*w + 20 = 7*w. Suppose -j = -1, -j + 19 = -w*b + 143. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 16*b**2 - 14*b - 47. Let v be u(17). Solve -v*c - 9 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f**2 - 70*f - 81. Let q(d) = -d**2 - 14*d - 16. Let y(t) = -11*q(t) + 2*w(t). Does 18 divide y(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*(sqrt(80) + -3*2*sqrt(80) + 2) - (sqrt(80) + (sqrt(80) - (sqrt(80) + 1)*-2) + -5 + 2)))**2.\nAnswer: -896*sqrt(5) + 20529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 90, 110, 138?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 778 = -8*y + 6*y, 2*y - 3*q - 750 = 0. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (11 + -17 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 24. Solve -6 = -4*g - 2*o, 3*o + u = -4*g + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-230756)\/(-22))\/(8\/(-18)). Let h = 23595 + g. What is the common denominator of h and -85\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.597 - -11.597. Let z = 9 + -3. Let a = 4 - z. What is the second biggest value in 5, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7344602?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**14*b**8*b**(-4)*b**5*b assuming b is positive.\nAnswer: b**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 16824 = 5*q, 0*u + q = 5*u - 21001. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 3*l**2 - 14*l**2 - 3*l + 5*l.\nAnswer: -11*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 160\/702 - (-4)\/(-26). Let w(n) be the second derivative of r*n**3 + 1\/54*n**4 + 0 + 1\/9*n**2 + n. Let w(l) = 0. What is l?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -202\/149 + 70636\/447. Let b = 161 - q. What is the common denominator of b and (-12)\/(-18)*(400\/(-110) + 0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -2 + 2*(0 + sqrt(891)))*6)**2.\nAnswer: 3888*sqrt(11) + 128628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284 divided by 7.\nAnswer: 284\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3019.\nAnswer: 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = -0. Suppose 6*w - 2*w = 5*r - 6, -4*r = g*w - 10. Solve -l - 2 = -r*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:53 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 909?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -49*y + 44. Let z be i(-3). Let n = z + -184. Solve -2*c - 8 = -v, 2*c = -4*v + n + 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 5. Which is the smallest value? (a) -22 (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/15*(5\/3)\/(530\/51516)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p + 8. List the prime factors of x(-6).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 84*q. Let p(c) = 79*c. Determine -2*p(g) + 3*x(g).\nAnswer: 6*g**2 + 94*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12419162 and 46128316.\nAnswer: 322898212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-1\/4)*n))\/n)\/(n*n**(-2\/3)*n*n*n*n)*(n**(-2\/3))**(-44) assuming n is positive.\nAnswer: n**(97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 26, -3\/2, 1185\/8, -1\/2?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*a + 37*a + 867. Let s(z) = 5*z + 87. Calculate s(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q + 3. Suppose -q = 3*y - 18. Solve 0 = 3*h - 3*a - a - 5, -5*h + y*a = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213210600 (base 7) to base 10\nAnswer: -12742401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = -1. Let m be (0 - 3)\/(i\/7). Solve -l = -4*b - 3*l + 12, -m = b + 3*l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 52, -4\/7 in decreasing order.\nAnswer: 52, 3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 172*n**4 + 836*n**3 - 168649*n**2 wrt n?\nAnswer: 4128*n + 5016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -22*r**3 + 10*r - 8. Let b(z) = 10*z**3 - 4*z + 3. Let u(o) = -5*b(o) - 2*y(o). What is u(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157*a - 142*a + a**2 + 258*a to the form j + t*a**2 + g*a and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 7:43 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 52\/208 + 1*(-35)\/(-4). Let f(j) = z*j - 5*j - 2*j - 3*j. Let k(h) = 152*h**2. Calculate k(f(b)).\nAnswer: 152*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013311021 (base 4) to base 12.\nAnswer: 122321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1 (c) -5821 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15434 - -21623039\/1401. Let h = z - 135917\/5604. Let g = -222929\/9354 + -4\/4677. Find the common denominator of h and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + o - 2*o)*(-3*o**3 + 2*o - 2*o) + 0*o**4 - 4*o**4 + 2*o**4 - o**2 + 5*o**4 + o**2.\nAnswer: 24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j = 235 + 202 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 - 2*v**3 - 4*v**3 + 5*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x\/(x*x*x**(-7))))\/(x*x\/(x*(x*x**(-12)\/x*x)\/x)*x*x)*(x*x**(-4))\/(x**9\/x))**(9\/5))**(3\/19) assuming x is positive.\nAnswer: x**(-864\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -5515?\nAnswer: 5522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 13068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 + 6*n - 3*n - n**3 + 0*n to l*n**3 + g + b*n**2 + d*n and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14619 or -14616?\nAnswer: -14616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8065813 is divided by 136708.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6*x**(2\/5)*x*x)**(4\/7)\/((x**(-2\/3))**(3\/43)\/(x\/((x*x**0)\/x))**(-1\/36)) assuming x is positive.\nAnswer: x**(37297\/7740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)*f**6)**(1\/16) assuming f is positive.\nAnswer: f**(-3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/15 of a century in months?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -1)*(-3 + 1). Suppose -q = -2*f + 6. Is 1\/(-2) - (-86)\/f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 3*s - 10. Let q be b(3). Suppose q*t + 14 = u + 5*t, 0 = -u + 4*t + 11. Put 4, u, 5 in decreasing order.\nAnswer: u, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -10, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a year in months?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 456, 440, 410, 360, 284?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -86589 equal to -6927093\/80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - ((-439)\/441 - -1). Let g be (332\/(-147))\/((-570)\/304). Let i = g + l. Is 1 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + ((-18540)\/100)\/(-9)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 19*i**4\/12 - 233*i. Let x be 2\/(-2) + (-6)\/(-2). Let h(k) = -x*k + 3*k - 3*k. Give h(m(y)).\nAnswer: -38*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d9 + 4?\nAnswer: -2d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22681.27233 rounded to 0 dps?\nAnswer: 22681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 21 = 0, -h - 12*n + 138 = -3*n. Calculate the highest common factor of 3765 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*m**3 - 49*m**3 + 2*m**4 + (-3*m + 3*m - 2*m**2)*(-180*m**2 - 175*m**2 + 2 - 5*m + 344*m**2).\nAnswer: 24*m**4 + 10*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(425) + -1)**2 - 5*(-1*sqrt(1377))**2.\nAnswer: -6463 - 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - t**2 + t + 1. Let c be f(2). Suppose -c = l + 9. List the prime factors of -2*21\/6*l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.78 + 0.08. Let o = c - 0.3. Let t = o - 1. What is the closest to 0.1 in 5, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/7272 and -127\/48?\nAnswer: 14544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7815 is divided by 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 1, i: 2, n: 3}. Give prob of picking 2 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.458 minus 33607.474?\nAnswer: -33610.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -79 + (60 - 68).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(-3 + sqrt(171))*4*-5*2.\nAnswer: -600*sqrt(19) + 602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -79.16\nAnswer: -15.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/50*(-20)\/(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 46*f - 9 + 6, -33 + 31 = -2*c - 2*f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k\/((k*k**(-1)*k)\/k)*k)\/k*k))**(-2\/119))**(1\/16)\/((k*k\/k**0)**(-2)\/(k\/k**(-6)*k**0\/k)) assuming k is positive.\nAnswer: k**(4761\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -15405786?\nAnswer: -5\/15405786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/11)\/(-1*1*5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28340 + 34577. What is the lowest common multiple of 231 and j?\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1041 + 691. Let l = -1038 - -545. Let w = y - l. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -7*n - 46. Is 26 a factor of g(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = 5*k + 2*z - 5*z, 5*z = 2*k + 69. Let t = -36391\/12 + 3040. What is the common denominator of 1 + ((-41)\/k - 2) and t?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 3*l**2 - 5*l + 4. Let u(w) = -w**2 + 15*w + 36. Let r be u(17). Let m be d(r). Which is the smallest value? (a) m (b) 2\/3 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 145075 and 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141075 by -4.\nAnswer: -141075\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1756*c - 901*c - 905*c.\nAnswer: -50*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 494010 to the nearest one thousand.\nAnswer: 494000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, h: 5, q: 2}. What is prob of sequence hqnq?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-1.2\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 38*f**2 + 10*f - 399. Determine a(38).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 10. Let h be r(-8). Let i = 2 - h. Differentiate w**2 - 1 + i - 1 with respect to w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/4*(-2)\/72*-16. Factor 1\/3*p**3 + 0 - 2\/3*p**y + 1\/3*p.\nAnswer: p*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 991 - -5294?\nAnswer: 6285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1510589\/6364314 + 2\/96429. What is the common denominator of v and 97\/396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 1, -2099, -24.\nAnswer: -2099, -24, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 less than -331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 7 + 3*d - 4*d**2 + 5*d**2 + 3*d. What is the units digit of c(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 62 and 104.1.\nAnswer: 6454.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 7*p**2 + 6*p - 25. Let q be z(-5). Which is the third biggest value? (a) -2\/11 (b) -1.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16523*a + 16577*a + 2754 = 0 for a.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/6 + 0)*-6. Let k(s) = s**3 - 4*s**2 + 39*s + 9. What is the units digit of k(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -128032, -127983, -127944, -127921, -127920, -127947, -128008, -128109?\n\"Answer: -m**3 + m**2 + 53*m - 128085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 23\/30*f**6 + 0*f**2 + 10\/3*f**4 + 18*f + 0*f**5 + 0 + 0*f**3. Find the third derivative of t(p) wrt p.\nAnswer: 552*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4073, 8474, 12871, 17264, 21653, 26038, 30419?\nAnswer: 34796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59208 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 4*c - 12, -5*q = -5*c - 0*c - 30. Solve -8*h = q*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1528 = 5*v - 3*l, 5*v - 3*l = -2*l + 1526. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**2 - 32 - 3693*x + 3689*x + 3*x**2 in the form z*x + i + o*x**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1442 divided by 206\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-203)\/147 - -1) + (-4)\/(-6). Suppose -5*s + 2*n = -s + 10, -3*s - 5 = -n. Put -1\/4, s, 4\/7, h in increasing order.\nAnswer: -1\/4, s, h, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 5*t + 4. Let n be c(5). Let y = -10 - -16. Suppose b + y + 3 = -5*h, -n*b = 3*h - 15. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10207 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 72 = 73. Let w = 18 + -10. Calculate the remainder when k is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 2*i - 8 + 47*i - 2*i**2 + (i - 2*i + 0*i)*(i + 2 + 6*i - 8*i) as z*i**2 + y*i + h and give y.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 2\/9 (c) -0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, f: 2}. Give prob of picking 2 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1216377 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 3. List the prime factors of a\/(-2)*(-360)\/4.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(2 + (-12)\/9). Let a = d - -3. Let l be (0\/(3*-1))\/a. Is l < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 84\/1675, 0.1, -2\/7 in descending order.\nAnswer: 0.1, 84\/1675, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*-6*(-12)\/(-2592).\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12145 by -5.\nAnswer: -2429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1\/10 (b) 1\/4 (c) 40\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/560 and 1\/31500.\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 7*r = -3*r - 4, 2*x + 5*r = -28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148640846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 11*l**2 + 18*l + 1. Determine r(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - 2*q**2 + 2*q. Let o(d) = 9*d**3 + 21*d + 90. Let m(n) = -o(n) - 6*r(n). Find l such that m(l) = 0.\nAnswer: -5, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (23\/22 - 1)*2. Let h = 110\/353 + -3328\/3883. What is the third biggest value in g, -2, 2\/185, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38934 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/12267965 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*s - 11*s + 5904 = 0. Calculate the least common multiple of s and 328.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*l + 4*l + 410 = 0, 0 = 5*r - 3*l + 540. Let g = r - -93. Is (-3)\/g - 0 - 1953\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 26736096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00388423 rounded to 4 decimal places?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**3 - 78*u**2 + 76*u - 37. Let h be j(-27). What is the highest common divisor of 1358 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -10073.\nAnswer: -8\/10073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + n**2 - 6*n**2 - 4*n**2.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -3212.\nAnswer: 3211.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -9*z**2 + 3*z - 2. Let a(f) = -5*f**2 + f - 1. Let t(n) = 5*a(n) - 3*g(n). Give t(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 151. What is the remainder when 398 is divided by w(25)?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**4))**(-3) assuming n is positive.\nAnswer: n**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000565880699 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15251\/11 - 1385. Find v such that 0*v + x*v**4 + 10\/11*v**5 - 4\/11*v**2 + 0 + 2\/11*v**3 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 420865*l**2. Let s(i) = -2*i. Give u(s(r)).\nAnswer: 1683460*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(3 - 1 - 4))\/2. Suppose 0 = -5*r + d*r + 115. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6754)\/3080 - 47*28\/23030?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2276539621 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25 - (24 - -10 - 11). Solve -t = 2*y - 3*i, 4*y = 142*i - 139*i + 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, u: 1, g: 5, p: 1, x: 1}. What is prob of sequence xgus?\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 17. Let m be s(-17). Let i be -1 + 3 - (-234)\/(-115). Let h = 266\/1035 + i. Which is the nearest to m? (a) -1 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = 702 + 3168. Let g be (12*9\/270)\/((-2)\/h). What is the third biggest value in -0.1, g, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34179*i + 0 - 1 - 36304*i + 1 to the form b + g*i and give g.\nAnswer: -2125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvv. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i + 31. Let y be z(-8). Calculate the highest common factor of 56 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k - 7. Let h be s(3). Let c(o) = 13 + 4*o**3 + o**3 - h*o**2 - 2*o**3 + o + 2*o**3. Is c(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 89 + 41 = 0. Let s = -423 - -426. Let i(d) = -21*d + 37. Let h be i(s). Is h at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1 (b) 23 (c) 12 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(4\/7)\/y)\/y*y)\/y)\/(y*y*y**(-5))*(y\/y**(-3)*y)**(-26) assuming y is positive.\nAnswer: y**(-899\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b + 6. Let s(i) = -22*i + 17. Let z(v) = 17*c(v) - 6*s(v). Let m be z(6). Let j = m - 25. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 - w**2 + 46*w + 39. Let p be q(5). Let t(r) be the second derivative of -r**3\/3 - 7*r**2\/2 - r. Give t(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 46618 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 33194616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-4)\/(-16)) - 2. Let p(r) = -r**3 + 2. Let u be p(l). Let v(o) = -o**3 - 6*o**2 - 6*o - 6. Let q(f) = f**2 + f + 1. Determine u*q(i) - v(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - -4.5. Let u = f + -14. Let a = 0 - 0.2. Sort -2\/7, a, u in decreasing order.\nAnswer: a, -2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000826015 rounded to seven decimal places?\nAnswer: -0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 - -42. Suppose -3*u - 4 = -2*u - 3*b, u - b = p. Solve -18 = -4*o - u*c + 4*c, 3*o = -4*c - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10987 is divided by 10880.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 g when three letters picked without replacement from egghhhqqeee?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -330, -888, -1970, -3750?\nAnswer: -6402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776333.\nAnswer: 31, 79, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvb when three letters picked without replacement from {b: 2, u: 6, c: 2, v: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0 - -1) + 0. Suppose -2*y + y + 11 = c. What is the second derivative of 8*n**2 + 2*n - y*n**2 + 7*n**2 wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 206449?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4310281*l - 2*l**2 + 4310281*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 4:51 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.17 - 0.53. Let y = 0.2 + q. Let x be (0 + 5)*(-1 - 0). Which is the third biggest value? (a) y (b) 5\/6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/14 + 16\/7 + -2. Calculate the remainder when h\/(6\/8) + 73 is divided by 202\/5 + (-12)\/30.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4447.462nm?\nAnswer: 0.004447462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2057 - 1499. What is the least common multiple of f and 198?\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/5 (b) -0.028505 (c) -86 (d) -0.4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4332 (base 5) to base 11\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k. Let s(f) = -225*f**2 + 2*f + 56. Let x(w) = 150*w**2 - w - 35. Let r(u) = -5*s(u) - 8*x(u). What is t(r(o))?\nAnswer: -75*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/7*r - 2\/7*r**2 - 200\/7.\nAnswer: -2*(r + 10)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1372\/(-228) - -6)\/((34\/(-6))\/17).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45*(99\/(-8) + 2). Let b = 25999\/56 + w. Find the common denominator of ((-741)\/(-84) - -1) + (-23 - -15) and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:22 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spploppplpplx. Give prob of sequence lol.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 27 - 2*a + 21 - 11 + 61.\nAnswer: -2*a + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 19\/95*(10\/2)\/((-6)\/(-12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2263*k. Let h(q) = 49*q**2 + 4*q - 8. Let w(u) = -37*u**2 - 3*u + 6. Let d(a) = 3*h(a) + 4*w(a). Calculate l(d(f)).\nAnswer: -2263*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = 10, 0 = c + 5*d - 100. What is the remainder when c is divided by 84?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -9.59?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25298.\nAnswer: 2, 7, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v - 3*j + 113 + 44 = 0, 25 = 2*v + 3*j. Calculate the least common multiple of v and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -20102100021222222?\nAnswer: -20102100021222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2. Let n(h) = h**2 - 6*h + 5. Calculate n(j) + 2*s(j).\nAnswer: 3*j**2 - 6*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4*(-21)\/(-12)) + (-25)\/(-14).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by -147652.\nAnswer: -13\/36913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 4182 and 11505378.\nAnswer: 11509560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6596803.\nAnswer: 229, 28807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.309977 millilitres to litres.\nAnswer: 0.008309977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 699*j - 702*j - 4, 5*f - 40 = -5*j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a hour in seconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - k + 1932. Let f = -13147\/7 + k. Let d = 54 - f. Which is smaller: d or 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = d - 15, -3*d - 10 = 5*i. Let l = 3 + i. Let t be 2\/l + (-21)\/6. Sort t, 0, -5 in increasing order.\nAnswer: -5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 58.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2332 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 126447281459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 269\/2190 or 1?\nAnswer: 269\/2190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 18*r**2 - 2*r + 25. Let l be b(18). Put 3\/4, -4, l in decreasing order.\nAnswer: 3\/4, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 664650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*o + 220 = 72 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j + 2. Let z be 15\/10*(-1 + 3). Suppose 6*u = -3 - z. Let y be l(u). Sort y, 3, -1 in descending order.\nAnswer: 3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 22*a + 10. What is the units digit of x(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6 = 2*q, 3*i - 8 = -q - 0. Let c be 0 + (-2)\/i*-22. Let w be 4\/6 - c\/42. What is the smallest value in w, -0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66411, 131609, 196801, 261987, 327167, 392341?\nAnswer: 457509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/5)\/r)**(7\/9)\/((r**(2\/23)\/r)\/r*r\/r**(1\/10)) assuming r is positive.\nAnswer: r**(11\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127*a - 52*a**2 + 36*a**2 - 45*a**2 - 20*a**2 - 50*a**2 wrt a?\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 16 = -5*f, -5*f - q - 2*q = 18. Let p(w) = 2*w - 2. Let u be p(2). Let m = -211.5 + 211.9. Which is the second biggest value? (a) m (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221002420 (base 5) in base 6?\nAnswer: -32234141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 145 + -122. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -696393672 divided by -100316?\nAnswer: 6942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/150 and 83\/270.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 16*u**2 + 78*u**2 + 31*u**2.\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 842c (base 15) to base 3\nAnswer: 1102022220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 6:13 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8120 - 8103. Let i(c) = -c**3 + 9*c**2 + 5*c + 3. Let t be i(7). Calculate the highest common factor of v and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97 - 100 + 189 - 9*p)*(3*p**2 - 7*p**2 + 3*p**2).\nAnswer: 9*p**3 + 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -182*h + 500. What is the thousands digit of a(-40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 + f. Let s be d(1). Let v be s - 2*(-17)\/14. Suppose 2*m - 3 = -5. Which is greater: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/3 and 12261997 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - 42. Let n = q + -18.4. What is the second smallest value in n, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7977*n = 7830*n - 1911 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*h = -302*h - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196098 and 56?\nAnswer: 784392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 222 - 219. Suppose -23*w + r = -22*w. Calculate the highest common divisor of 96 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3563.52ms to minutes.\nAnswer: 0.059392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27290 - 16324. Let c = s + -2166. Round c to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82\/(-12341)*-43)\/(3\/273)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*f**4\/8 + 1677*f**3\/4 - 70701*f**2\/8 - 28893*f\/4 + 2037 = 0. Calculate f.\nAnswer: -1, 2\/9, 28, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*j + 4*a, -j + 0*j - 11 = 5*a. Suppose -8*y = -5*i - 6*y + 19, 3*i = j*y + 3. Solve -r + 16 = 5*h, 29 = i*h + 3*r + 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186997, 186930, 186863, 186796, 186729?\nAnswer: 186662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 1. Let j(l) = -l**2 - 3*l + 5. Let h(d) = -j(d) - 2*r(d). Calculate the remainder when h(-3) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 6 = 11303*u - 11306*u, r - 4 = -2*u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-5)*6)\/((-1516)\/(-1137))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 19523 = 19649 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 c when four letters picked without replacement from {n: 3, c: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 493, 1067, 2041, 3409, 5165?\n\"Answer: -m**3 + 206*m**2 - 37*m + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1143729, -2287460, -3431191, -4574922, -5718653?\nAnswer: -6862384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 y when four letters picked without replacement from eweeyeyeeeweeweywe?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.684325 months to centuries.\nAnswer: 0.0022369375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 + 51. Let g be -3 - 2 - (-215)\/5. Let u = g - 36. Solve -u = 4*l + 4*w - t*w, l + 14 = 4*w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**5\/4 - 171*w**4\/4 = 0.\nAnswer: -57, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/1 + (156 - 4). Calculate the greatest common divisor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6)\/l**(-37) assuming l is positive.\nAnswer: l**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -5*n**9\/126 - 17*n**5\/60 - 9*n**2. What is the third derivative of l(j) wrt j?\nAnswer: -2400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3197 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (636\/(-6625))\/((-5)\/((-250)\/(-20)))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 + 3*p**2 + 5*p - 3. Let s(h) = -5*h**3 + 8*h**2 + 16*h - 8. Give -11*g(t) + 4*s(t).\nAnswer: 2*t**3 - t**2 + 9*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 4)\/(9\/2). Let m = -197.95 + 198. What is the closest to 0.1 in r, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1901?\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2 (c) -74 (d) -6\/7 (e) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 1 - 3, 12 = 3*m + 3*o. Let r be m*3\/(0 - -6). Suppose -5*j - 17 + 2 = r. Sort 0, 9, j.\nAnswer: j, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5 + 234840*o**4 - 1408934*o**3 - 3992088*o**2 + 1408936*o + 3757248 = 0. What is o?\nAnswer: -2, -1, 1, 8, 117414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 110 and -2.7.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*o = 7*o - 290, -2*o - 159 = 3*x. Let s be 4\/(-10)*x\/(-22). Are -1\/86 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1210*k**3 + 11*k**2 + 37*k + 11. Let l(a) = -605*a**3 - 6*a**2 - 20*a - 6. Give -6*h(g) - 11*l(g).\nAnswer: -605*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o + 36*o + 5372 = 32*o + 61*o for o.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Suppose i*k = -k + 80. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -12. Suppose 0 = 3*f + 4*n - 4, -s*n - n = -2*f + 14. Suppose 4*y + 336 = f*r, r + 4 = -5*y + 94. What are the prime factors of r?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 10*u - 10. Let n be q(-4). Calculate the highest common divisor of n and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7039 + -63077\/9. Let u = y - 3526\/117. Factor u - 14\/13*m**2 - 10\/13*m.\nAnswer: -2*(m + 1)*(7*m - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7722*o**2 - 7741*o**2 + 15474*o**2 - 583*o to the form i*o + t*o**2 + y and give i.\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.26? (a) -5 (b) -2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791030 is divided by 103?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4520 >= -2910179\/644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 32 - 7 - j**2 - 10 + 4*j + 2*j**3. Let x be p(0). Suppose 5*b - 4*b = 12. Which is smaller: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27729 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -12. Let q be (0\/(-3 + -6))\/(-2 - 0). What is the closest to g in 1, q, 0.06?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6 = 1. Let r be (d - 81\/12)*-28. Let u = r - 71. Calculate the highest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 33788 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -18 + 11 + 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 29*f**2 - 12*f + 30. Let q(b) = 4*b**3 - 31*b**2 - 6*b - 11. Let u be q(8). What are the prime factors of a(u)?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3943 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 2. Let m(p) = -12*p - 2. Let h(a) = -12*a - 3. Let r(q) = -4*h(q) + 5*m(q). Let u(s) = r(s) - t(s). Let f(x) = -10*x**2. What is u(f(c))?\nAnswer: 110*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11651142 is divided by 723?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*o**2 + o**4 + 19*o**2 + 6*o**5 - 13*o**5 + (1 - 3 + 3)*(o**5 - o**5 + 2*o**5).\nAnswer: -5*o**5 + o**4 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l**3 + 8*l**2 + 6*l + 2. Let z(j) = -26*j**3 + 23*j**2 + 17*j + 6. Suppose -11*w = 18*w + 36*w - 390. What is w*z(g) - 17*x(g)?\nAnswer: -3*g**3 + 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/4 (b) 0.4 (c) 8 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 14*i**3 - 87*i**2 + 78*i + 18. Let v(a) = 5*a**3 - 44*a**2 + 38*a + 8. Let q(r) = -2*g(r) + 5*v(r). Calculate q(-16).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n**2 - 3*n - 46. Is p(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 16, -2*x - 2*x + 24 = 4*i. Suppose -5*w - 4*t = -306, -i*w - 5*t + 243 = 2*w. Calculate the remainder when w is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/9*3*(-8)\/16\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-33))\/(-160 - -159)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*l**3 - 21*l**3 + 7*l**4 + 53*l**2 + 4*l + 0*l + 1 - 5*l in the form v*l + z*l**4 + i + b*l**3 + f*l**2 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 318 - 586. Let z = t - -252.1. Round z to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211517482777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 17. Let b = -5 + 9. What is the closest to f in 5, b, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 9*o - 8*o + 184951*o**3.\nAnswer: 184951*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*v + 39, -2*p + 2*v = -3 - 15. Let k be ((-8)\/p)\/((-3)\/9). Solve -k*f - 10 = -3*s, -2*s - 2*s + 4*f + 12 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11*q**2 + 8*q + 22. Calculate the smallest common multiple of s(-6) and 2997.\nAnswer: 29970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4020 (base 6) to base 11\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 53926866 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 30\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2519.1 rounded to the nearest 10?\nAnswer: -2520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.004 + 27.996. Let h = 47 - k. Let r = h + -20. Sort 5, r, -2 in increasing order.\nAnswer: -2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmogdmomm. Give prob of picking 1 o and 1 m.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1228056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 95 = 5*y. Suppose -6*d = -d + 5*z - y, 4*d = -z + 61. Solve 0 = -6*p + 5*p - 3*b + d, p + 18 = 5*b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3614 and 2.\nAnswer: 3616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 1 = 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16720 divided by -95?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - 3*a**4 - 50*a + 105*a - 53*a + 2*a**2 - 5 in the form c*a**4 + k*a + h*a**2 + y*a**3 + d and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6992 = -73*l - 1663. Solve 23*i + l = -42 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 6:08 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 8*x**2 - 11*x - 186. What is s(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 10:56 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in -3, -8, 7, 1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.005 times 89181\nAnswer: -445.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -10, 0 in descending order.\nAnswer: 12, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 430 + -470.6. Let i = t - -41. What is the smallest value in 2\/7, i, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -57653, -115336, -173007, -230660, -288289, -345888?\n\"Answer: l**3 - 57690*l + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a**3 + 4462*a**2\/3 - 8978*a\/3 + 4498\/3 = 0 for a.\nAnswer: -2249\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7 + -2. Sort -2\/3, t, 0.3 in increasing order.\nAnswer: -2\/3, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 - 10*q. Let a(g) = -3*g**2 - 15*g. Calculate 5*a(k) - 8*w(k).\nAnswer: k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.11 + -3.11. Sort 0.16, y, 0 in decreasing order.\nAnswer: 0.16, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1428365?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9411338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 15 = 5*v, 0 = 2*m - 0*v - 3*v - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 108882 or 108905?\nAnswer: 108905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*f + 64. Let c = f - 12. Calculate the highest common factor of 12 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 7:49 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(147))**2 + sqrt(147) + -2.\nAnswer: -7*sqrt(3) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1080, -1082, -1086, -1092, -1100?\nAnswer: -1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 126, 1\/18, 0.4?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3080)\/(-792))\/(5*3\/(-135))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -104 or -494133\/4739?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 2435950?\nAnswer: 4871900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27.64 and 5.\nAnswer: -138.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 13*d**2 + 16*d + 11. Calculate the remainder when 114 is divided by r(14).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2. Let x(d) = -2*d**2 - 10*d - 5. Let c(j) = 3*w(j) - x(j). What is c(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w + 12. Let g be f(7). Let j be 1360000\/(g - 2) - 0. What is j rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.555492966 - 0.07.\nAnswer: 28.485492966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/280 and -43\/1635.\nAnswer: 91560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25445 is divided by 6330?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 35*n + 3*n)*(3 - 6 + 2)*(7*n**2 - 2*n**2 - 2*n**2).\nAnswer: 93*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 25565716.\nAnswer: 25565716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2 (c) -3\/7 (d) -0.122 (e) -0.326\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.08 + -10.34. Let s = -233.22 - b. What is s rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 56*k**2 + 52*k + 403. Determine d(55).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2598925.2ms to minutes.\nAnswer: 43.31542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574 a factor of 1355437505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-2) + (-3 - 3\/(-3)). Suppose p = r - 53 - 35. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21163 is divided by 59?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259198181 is divided by 238?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y + 4*y + 36*y**2 - 6*y**2 + 40*y**2 - 67*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + ac95?\nAnswer: ac98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 403*b**5\/60 - b**4\/8 + 77*b**3\/3 - 77*b**2 + 3*b. What is the second derivative of w(t) wrt t?\nAnswer: 806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Let t(g) = -g**3 + 2*g**2 + 3*g + 1. Let f(p) = -p**2 - 4*p + 3. Let n be f(-4). Let b be t(n). Solve j - l*j = 2*x - b, -4*x = -12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 + -2.6. Let m = -373.1 + 35.1. Let p = 342 + m. Put -1, d, p in decreasing order.\nAnswer: p, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 9*a + 8. Determine h(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 2. Let c = 1041.4 - 1041. Sort c, -1\/3, -0.7, s.\nAnswer: s, -0.7, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37334920 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbbbmbbggbgggb. Give prob of picking 2 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3453 + 3*z - 6881 + 3428 - z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 bigger than 82357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.3 and -185 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 - 60. Suppose 6*k - s = 59. What is the greatest common factor of k and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 a, and 1 c when three letters picked without replacement from {a: 1, q: 1, w: 1, o: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0.37 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 - 8*v**4 + 5*v**4 + (2 + v**2 - 2)*(-3*v**2 + 0*v**2 - v**2).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7))**(-31\/5)*(j\/j**(2\/11))\/(j\/j**(-5\/2)*j) assuming j is positive.\nAnswer: j**(-1471\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1, 38.5, 1\/4, -0.5, 4\/31 in descending order.\nAnswer: 38.5, 1, 0.4, 1\/4, 4\/31, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/14*112\/(-368))\/(3\/2).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(-2*sqrt(9)*-1)*1 + (-5*(sqrt(1300) + -2) + -3)**2.\nAnswer: -1399*sqrt(13)\/2 + 32549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-310)\/(-4) + 413\/(-118) is divided by 2\/(-4)*100\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 - 1\/5.\nAnswer: (g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13134?\nAnswer: 2, 3, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/20*10\/(-12). Let x = -14\/4121 + -3210105\/45331. Let u = -71 - x. What is the second smallest value in s, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 9:41 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*-1*(-24)\/30. Let h(o) = -o**3 + 6*o**2 + o. What is the remainder when 66 is divided by h(k)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/3*15\/10. Let d be 2*(h - 6\/(-4)). Let g = 145 - 1597\/11. Which is greater: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*295\/3850 - -4. Let t = q + -42\/11. Which is greater: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5 + 1730*h**4 - 346102*h**3 - 12221882*h**2 - 50582784*h + 270950400 = 0. What is h?\nAnswer: -25, -9, 3, 448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*2\/4 + 14*(9 - 11)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 4*x + 60 + 3\/2*x**2 + 1\/4*x**4 + 2*x**3. Calculate z(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 229.897 + -230. Let p = -5.103 - l. Let q = 36\/5 + -262\/35. Is p <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, w: 2, v: 1, i: 1, b: 1, r: 2}. Give prob of sequence ir.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 19*m + 4. Let l be t(-4). Let g = 44 + l. Let w = -18 - g. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -326\/5339 <= -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (60 - (-832)\/(-16))*1\/(-9)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-9)\/(-7923)) - (-10)\/6 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317775009 divided by -3?\nAnswer: -105925003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 845*d + 16170.\nAnswer: 5*(d - 147)*(d - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 2088*r**2 - 715530*r - 80109644.\nAnswer: -2*(r + 262)*(r + 391)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.89222.\nAnswer: -1.78444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 4:49 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500400?\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 340 - 24479\/72. Let x(q) be the third derivative of 0*q**3 + 1\/180*q**5 + 0 + 0*q + h*q**4 + q**2. Solve x(n) = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.62? (a) 0.4 (b) 3\/7 (c) 0.01 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2275\/8 - 284. What is the nearest to f in 2\/15, 1, 0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 + 45*j - 729.\nAnswer: -(j - 162)*(j - 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = w + 2, 36*w + 131*w = 3*h - 82*w + 1488 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f = 4*f - 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-4*(sqrt(320) + sqrt(20))*-2.\nAnswer: 320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d + 1. Let p(o) = 12*o - 15. Let k(c) = 12*i(c) - p(c). Let v(w) = 7*w + 4. Let u(z) = 2*z - 6. Let x be u(5). Calculate x*k(b) - 27*v(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*x - 45 + 359, -2*k + 164 = 2*x. Suppose 0 = 4*c, 2*w - x = -2*c - 0*c. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117240854 to the nearest integer?\nAnswer: 10828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five halves of a decade?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.4 - -11. Let f = -2.15 - k. Let i = f - -0.74999938. What is i rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let i be n(1). Let q be (8\/20)\/((-2)\/(-10)). Suppose 2*z + q*z - 8 = 0. Is z at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 408941628 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -3. What is the remainder when (-1615)\/(-20) - 10\/(-40) is divided by (42\/8)\/(j\/(-12))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4*2*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -85 - -2 - (-2 + 0). Let v = b + 135. Let j = v - 19. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 4 = 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (40\/(-4))\/((-14)\/(-7)). Let n(y) = -6*y - 13. Let q(w) = 8*w + 9. Let j(s) = 9*s + 9. Let i(f) = -4*j(f) + 5*q(f). What is h*n(t) - 7*i(t)?\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -54*y - 20. Let d(w) = 2*w**2 - 25*w + 26. Let b be d(11). List the prime factors of z(b).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 8)\/(6\/(-4)). Let x be q\/14*1\/(-3). Let g(p) = -p**3 - 12*p**2 - 1. Let l be g(-12). Which is smaller: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 8*r + 10. Let z be l(6). What is the units digit of (15\/(-25))\/(z\/650)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*(-3 + sqrt(343)*2) + (2*sqrt(343) + -4)*-1)**2)*-6.\nAnswer: -33216 + 2352*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12595\/7 + -1804. What is the common denominator of 23\/296 and f?\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 412086*w**2 + 180341?\nAnswer: 824172*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122002 - -10010200?\nAnswer: 10202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**5 - 46*t**4\/7 - 12*t**3\/7 + 8*t**2 + 16*t\/7 = 0.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/10079 <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s**3 - 6*s**2 - 20*s + 3. Let k be 2\/(-6)*(5 - (1 - 8)). What are the prime factors of m(k)?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*k + 817*k = 460*k + 648 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 37820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n + 1. Suppose 0 = -2*s + 7*s + 35. Let z(b) = -5*b - 1. Let v(u) = s*h(u) - 6*z(u). Let y be v(6). What is the highest common factor of 55 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 + 73. Solve 0*k + 4*k - 12 = d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k + 9 = 18*k + 5*m, 0 = 4*k + m - 29. Solve 0 = 5*r - s + 27, 0 = 4*r - k*s + 4*s + 28 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4583, 4, -4 in descending order.\nAnswer: 4583, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2648.3 - -2971. Let h = 306.51 - r. Round h to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (1 - 7)*2\/(-4). Let n = -1 + 5. Put n, q, -5 in increasing order.\nAnswer: -5, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1438 - -1440. Solve u*q - 5*q = -3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1540728 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005245 rounded to seven decimal places?\nAnswer: -0.0000525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18995\/23 + -826. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 117394 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 7:00 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.021, -0.1, 2, -4.\nAnswer: -4, -0.1, -0.021, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -4, -34, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53845.039 + 53790. Let x = 55 + r. What is x rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -97307, -97578, -97849?\n\"Answer: -271*v - 97036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2226191 divided by 2226191?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/5 + 3\/(-5). Let g(i) = i - 12. Calculate g(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8*1\/4*5. Let t be ((-8)\/10)\/(-2)*25. Let x be ((-3)\/15)\/(16\/(-160)). Solve -2*v - p = 2*v - 5*o, x*v + t = 5*o for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**2*f - 1279*a**2 + a*f - 1818*f wrt f.\nAnswer: -2*a**2 + a - 1818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -4*c**5\/5 - 13*c**3\/3 + 5. Find the third derivative of g(a) wrt a.\nAnswer: -96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -9, -242, 12, 1 in ascending order.\nAnswer: -242, -9, -4, -3, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -k + 1. Suppose 0 = 5*b + 4*c + 5, -b - k*b - 4*c = 4. Let h be -3 + (4 + -8 - -7). Put b, h, -2 in decreasing order.\nAnswer: h, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, f: 6, h: 3, e: 1}. What is prob of picking 1 f and 2 h?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -35c9 (base 14) in base 8?\nAnswer: -22255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -29*f - 7. Let u(v) = -25*v - 6. Let p(z) = -6*r(z) + 7*u(z). Let s(n) = 379*n**2. Give p(s(y)).\nAnswer: -379*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**4\/4 + k**3\/6 - 11*k**2\/2 + 2*k. Is n(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -270*u - 8. Give b(2).\nAnswer: -548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*m**2 - 364*m**2 + 724*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -666 = -2*f - 0*u - 3*u, 0 = -4*f - u + 1342. Suppose f = -93*h + 101*h. Calculate the highest common divisor of h and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.6207 times -3\nAnswer: -43.8621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/49248 and -32\/3?\nAnswer: 49248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 972686, 972686, 972688, 972692, 972698?\nAnswer: 972706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.1 (b) 3 (c) 0.4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201535, -2, 6, 4, 2, -3 in decreasing order.\nAnswer: 201535, 6, 4, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53432054 (base 7) to base 9.\nAnswer: -8487618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10134051 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*k - 3*j, -5*k + j + 32 = -j. Suppose -2*f + 22 = 3*r, 2*f - 4*f + 24 = 4*r. What is the greatest common factor of k and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 - 39.04. Let j = 38.08 + g. Round j to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.99 + -52.99. Let w = 52.099 + s. Let c = -0.09819 + w. Round c to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/1 - (-1 - 1). Suppose 2 = 3*s - x*s. Suppose 1 = c - 2. Solve 0 = -2*v + p + 12, -v = -s*v - c*p - 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -35. Let d be -1*(r - 2 - 0). Suppose 2907 = 607*s - 23765 - 75304. What is the greatest common divisor of d and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0187311773 rounded to 4 decimal places?\nAnswer: -0.0187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1 (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 o when three letters picked without replacement from {s: 7, o: 5, v: 2}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**3\/6 + 11*y**2\/2 + 2*y. Let f be n(9). Let 4 - z**2 + z**2 + 2*z - f*z**2 = 0. Calculate z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61104503250 rounded to the nearest one million?\nAnswer: -61105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1 - 3 + 4 + 0 + (3 + 1 - 6)*(1 - 1 - 2) + 5 - 1 - 3)*(18*f + 56*f + 8*f).\nAnswer: 656*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 845 + -844.9497. What is b rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 338*f**2 - 2*f - 3 + 665*f**3 + 225*f**2 - 565*f**2 to m + x*f**3 + j*f + z*f**2 and give x.\nAnswer: 665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127 - -12. List the prime factors of l.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 - 1) + 142 + 1.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 534 and -48806.\nAnswer: -26062404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-47)\/2 + 15\/(-10). Let j be 5\/k + (-24)\/5. Is 1188\/15 + 1\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -1, -6, 36 in ascending order.\nAnswer: -6, -1, 29, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1.37 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2. Let j(d) = d**2 - 5. Let a(b) = -b**2 + 6. Suppose -2*l + 6*l - 24 = 0. Let r(v) = l*j(v) + 5*a(v). What is w(r(h))?\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 28*u - 131. Calculate the remainder when f(-33) is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 10:05 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 3*n + 21*n)*(-16*n - 5 + 5) + (-3 + 2*n + 3)*(3 - 3 + n).\nAnswer: -366*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**3 - 4*j - 7. Let k = -57 - -60. Is c(k) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 6:17 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s - 30. Let l be w(-5). Let g = -3 + 6. Let y be 6\/(-10)*1\/g. Which is smaller: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153 (base 7) to base 15.\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 1:52 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/9, -149, -2\/19 in ascending order.\nAnswer: -149, -2\/19, 1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-10))\/(308\/(-1540)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g - 6*g - 7*g to the form b*g + y and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 4*h - 2. Let y be n(-4). Let b be ((-3)\/y)\/((-7)\/(-14)). Solve k - 4*k - b = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/m**(-4)*m)*m**1*m**(-15)\/(m*m**(-13)*m) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l**2 - 875*l + 7647. Give m(-155).\nAnswer: -878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30705*r**6 + 4*r**4 + 33408663*r**2 wrt r.\nAnswer: -3684600*r**3 + 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 1. Let g be m(-1). Let o be (35 - 31)*(-1 - (-6)\/8). Which is the nearest to g? (a) 4 (b) 0.06 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1011, 1014, 1019, 1026?\n\"Answer: x**2 + 1010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1398971*c*j + 6*c - 172440135*j wrt c.\nAnswer: -1398971*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 8*d + 8 = 0. Let f be ((-48)\/(-36))\/(d\/3). Factor -h**5 - 2*h**5 - 6*h**4 + 64*h**2 + 12*h**3 - 40*h**f.\nAnswer: -3*h**2*(h - 2)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641206 - 466?\nAnswer: 1640740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - 5. Let l = -10 - b. What is the second derivative of l*x + 2*x + x**3 + 2*x wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 191584.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 123?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-1 - (1 - 1)). Suppose 0 = -4*p - i + 3*i + 4, -3*i = g. What is the units digit of (3\/(-9))\/(p\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*s + 32*s + 84. Let n be 5\/(-1) - (-56)\/s. Let v(m) = 5*m + 6. Let b(l) = l + 1. Let w(j) = 4*b(j) - v(j). Calculate w(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, y: 2, q: 1, k: 2}. What is prob of picking 1 q, 1 a, and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 61*k - 834. What is the remainder when 6109 is divided by p(-32)?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*s + 13754 = 238*s - 97*s for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - j - 1. Let k(a) = -29*a**2 + 589 - 1168 + 11*a + 590. Determine -2*k(c) - 22*m(c).\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1984151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5181\/5 + -7268928\/7015. Are c and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 3*q**2 + 4*q. Let g(i) = 3*i**3 + 6*i**2 + 9*i. Let m be (-3)\/7 - (2 + 480\/(-42)). Determine m*x(w) - 4*g(w).\nAnswer: -3*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 - 69. Which is bigger: u or 17\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 100 and 103690.\nAnswer: 103790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 87*m**2 - 6116*m - 211. What is y(133)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 24 = 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**(-1\/31)*w))*w)**(14\/5) assuming w is positive.\nAnswer: w**(854\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h - 88. Suppose -9*z = -5*z + 108. Does 6 divide v(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.3 (c) -1.9 (d) 2\/13 (e) -85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 107 and 3734.21?\nAnswer: 399560.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8195865 to the power of 1\/2, to the nearest integer?\nAnswer: 2863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2. Let u(h) = 3*h**2 - 159 + 66 + 69. Give d(u(g)).\nAnswer: 9*g**4 - 144*g**2 + 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(3 + sqrt(17) + -1) - ((sqrt(85)*2*-6 - sqrt(85)) + sqrt(85))\/sqrt(5))*1 + -3)**2.\nAnswer: 160*sqrt(17) + 4377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.5111322 to two decimal places.\nAnswer: -21.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4882 + -4884. Let z = -1 + -4. Put -1, c, z in increasing order.\nAnswer: z, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-2 - (-4 - -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6310\/307928*(-4)\/5.\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -41 (b) -20 (c) -2\/5 (d) 5\/3 (e) -4 (f) 2\/9 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22032 - 22033. Let q(d) = -37*d - 5. Give q(c).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-27) - 2)*(-21)\/(-14)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34361 + 34361.196804. Let r = m + -0.197. What is r rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 62*m - 540. What is z(20)?\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/5 or -2.178?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + -18 + 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -z + 59, -3*a = -4*z - 1 - 39. Suppose 8 = r - a. Suppose -k + r = 4*i, 6*k - 65 = 2*k - i. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/54? (a) 3 (b) -0.3 (c) -31 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (8*(-17)\/10)\/(4 - 261\/45) and -23\/606?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72 - 431*u - 424*u + 166 + 854*u as o + g*u and give o.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**4 + 50 + 6*s**2 + 0*s**4 - 48 + s**4 - 2*s**3 - 4*s**2 + 3*s as r + f*s + h*s**3 + z*s**4 + g*s**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggxxx. Give prob of sequence gx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10473744 rounded to the nearest one thousand?\nAnswer: -10474000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3769 - 2394. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0*s - s - 1, 5 = 5*v - 5*s. What is f in -2\/3*f**2 - 4\/3*f**5 + 2*f**4 + 0*f**3 + 0 + v*f = 0?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -262*z - 251. Let j be g(-1). Let u = 10 - 4. Let d be (-4)\/(-12)*7*u. Solve -5*p = d + j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*u = -602, 6*a - 2*a = -5*u - 818. Let l = -200 - a. Let s(w) = -w + 1. Let n(y) = -2*y**3 - 22*y + 22. Give l*n(j) - 44*s(j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2306.\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (-2 - -5 - 3). Let w = -1 - g. Find c such that -4*c**2 + 3*c**2 - 4*c**w + 2*c + 3*c**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**3 + 48*z**2 - 72*z - 13. Let t(n) = n**3 - 12*n**2 + 18*n + 3. Let o(a) = -2*s(a) - 9*t(a). List the prime factors of o(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.54 or 0.05?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33671217.\nAnswer: 3, 683, 16433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/45 and -83\/649575?\nAnswer: 649575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 - 28. Let m(n) = 583*n**2 + 4*n + 5. Let w be m(-1). Calculate the highest common divisor of w and o.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/33303 and 14\/633.\nAnswer: 7026933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 19. Let h be 4\/(-8)*(r\/(-15))\/4. Let u be 1\/(-6) + (-2)\/6. Put h, u, 0.2 in increasing order.\nAnswer: u, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172231 is divided by 28487.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 4*g - 10*g - 4*g)*(-8 + 10 + 8)*(3 + 4 - 5).\nAnswer: -220*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 1)*-2.\nAnswer: -4*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - b - 1. Suppose 3330*u - 3404*u = -74. Let x(k) = k**2 - 4*k - 4. Determine u*x(n) - 6*w(n).\nAnswer: -5*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14139751 is divided by 328?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 - -14.1. Let z = r + -14. What is the third biggest value in z, -0.14, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 397*f**3 - 7 + 10*f - 421*f**3 - 6*f wrt f?\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4131 and -2767632601.\nAnswer: -2767632600.5869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-71 - -58) + 4 + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 257 and 2511404.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + c + 74 = 0. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -214421034 (base 5) to base 16\nAnswer: -e4759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - 2*y - y)*(2 + 7 + 0 + 3 - 4 - 1 + (-1 - 3 + 3)*(4 - 1 - 5)) to the form x + m*y and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 487024125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13132351?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -149, -354, -645, -1022?\nAnswer: -1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 - 12)*(2871*z - 31184931*z**3 + 31184931*z**3 + z**4).\nAnswer: -16*z**4 - 45936*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 5:09 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6329005.1 rounded to the nearest one thousand?\nAnswer: -6329000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*r**3 - 217*r**3 + 656*r**3 - 226*r**3.\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 175733*t**2 - 4*t + 534?\nAnswer: 351466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/12)\/(45\/3750)*4\/(-5)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)*-3)\/sqrt(9))**2 + 0.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or 0.907?\nAnswer: 0.907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -24311786*r + 2856. Let i be k(-4). What is i rounded to the nearest 1000000?\nAnswer: 97000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f - 3 + 1\/2*f**2. Differentiate g(q) wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-120)\/153 - 16\/(-136))*-24. Let s = 1\/327 - -215\/981. What is the smallest value in s, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 1 + 28*f**2.\nAnswer: 28*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -103654*v + 103961*v - 22718 for v.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 351673214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y - 3. Let v(w) = -8*w - 3. Let i(b) = 4*u(b) - 3*v(b). Let q be 2\/(-7) - 48\/28. List the prime factors of i(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(405)\/((sqrt(9) - sqrt(9)*3) + sqrt(9)) + 3*sqrt(45)*1).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from zzwwazwzanzlaxa.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6 + 4*a + 0 - 3*a - a**2. What is the units digit of c(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 - 3*s - 6. Let i(a) = 4*a - 6. Let g(z) = 3*z - 5. Let v(n) = -5*g(n) + 4*i(n). Calculate -6*v(k) - x(k).\nAnswer: 2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = -12*t + 169. Suppose 2*j - 5*j + 3*v = -3, t*v - 6 = 0. Factor 3*n**2 - 7\/3*n**j + 0 - 2\/3*n.\nAnswer: -n*(n - 1)*(7*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15888, -31737, -47526, -63249, -78900?\n\"Answer: y**3 + 24*y**2 - 15928*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 0*y = y + 5, 4*y - 87782 = 2*r - 87792 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201427*w**2 - 100711*w**2 - 100710*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(4\/15)\/((o**(-1\/53)*o)\/o*o**1) assuming o is positive.\nAnswer: o**(-992\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, v: 2, e: 3, u: 5}. What is prob of picking 1 v and 3 e?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*l + 47 = 73*l. What is the remainder when 195 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -836, -2780, -6556, -12776, -22052, -34996, -52220?\nAnswer: -74336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2010481 - 0.5\nAnswer: 2010480.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 - 9. Factor 121 - n - 4*h**3 - 61 + 12*h**2.\nAnswer: -4*h**2*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + j + 2. Let n(a) = 77*a**2 - 3*a - 5. What is -n(p) - 3*v(p)?\nAnswer: -74*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 990 divide 2835144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a + a + 4*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-9) + -2 + 1 + -6\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*m**3)*(3 + 0 - 4) - 17*m + 17*m + 8*m**3 + 77*m + 19*m**3 - 77*m.\nAnswer: 25*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b - 1. Let d be z(-1). Let m = -11\/17 - -329\/561. Let k = -43\/165 - m. Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -33\/8*v - 33\/8*v**2 + 45\/8*v**3 - 3\/4 + 27\/8*v**4 = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4885 = -447*w - 32 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v + 3. Let c(l) = -l**2 + 11*l - 2. Let r be c(0). Calculate w(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 823019146.\nAnswer: 823019143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -60. Let i be 0\/v*(-9)\/27. Let c(n) = -n + 1. Let r be c(1). Solve o + i*o - 3 = r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3060*w**2 - 13458*w**2 - 14160*w**2 - 10551*w**2.\nAnswer: -41229*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -a56 (base 11) in base 2?\nAnswer: -10011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139*g**5 - 5*g**2 - 45*g**2 + 52*g + 49*g - 101*g wrt g.\nAnswer: -8340*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - k = -31, -444179 = -5*g + 2*k - 444197 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (6 - -26 - 17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -116 and 17.281 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 25602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.1 - 4.9. Let p = w - 1.1. What is p rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + a - 5. Give k(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + -61. Suppose -p - 2*i + 14 = 0, 18 = 5*p - 4*p + 3*i. Is k > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22734, 22735, 22736, 22737, 22738?\n\"Answer: p + 22733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-3)\/(-9)*1). Suppose 7*i - 3*i = -16. What is the second smallest value in i, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - o = 484. Is 22 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t. Suppose t = -5*c - 24 - 6. Let n(i) = i**3 + 8*i**2 + 6*i - 5. Is n(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28457022 or -28457021?\nAnswer: -28457022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*9618\/(-3435)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -41 + 84 - 38 - (-4 + (-58)\/(-6))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 265 = 4*t + 5*f, -3*t + 2*f + 190 = 0. Suppose 3*y - 14 = 4*y - c, -5*y = -c + t. What is the third smallest value in -2, y, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -912*r + 907*r + 219, 0 = -51*r - 255 for q.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744880?\nAnswer: 2, 5, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -65, 1\/2, -2, -23\/9 in decreasing order.\nAnswer: 1\/2, -1\/5, -2, -23\/9, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-18)*((-192)\/8)\/(-96)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, -18054, 9, -4, 4 in descending order.\nAnswer: 9, 4, 1.2, -4, -18054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3080*x = -3072*x - 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12014411 (base 5) in base 13?\nAnswer: -3b462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 876*i**5\/5 + 116*i**3 + 897. What is the third derivative of f(z) wrt z?\nAnswer: 21024*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 17 - x**3 + 48 + 2*x**2 - 158.\nAnswer: -x**3 + 2*x**2 - 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1082, -4365, -9838, -17501, -27354?\n\"Answer: -1095*s**2 + 2*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 0 + 0)*(245 + 297 + 439).\nAnswer: -981*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**6\/3 + 12*s**5\/5 - 4*s**4 - 4*s**3\/3 + 9*s**2 - 8*s - 46. Factor u(f).\nAnswer: -2*(f - 4)*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708 at least as big as 708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/52 and -23\/21918?\nAnswer: 43836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -840735 divided by -56049\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(162))*-2)**2.\nAnswer: 144*sqrt(2) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -64, -69, -74, -79?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 141381815 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.052? (a) -2\/5 (b) 3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/6 of a century?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 29*v**2 - 174*v - 17. Let f be c(6). Sort 1, 4, f, -2.\nAnswer: f, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 6. Suppose 3*d = -2*a + 7, -a - 1 = d + o*a. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 25\/3)\/(-3 + 5)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 - 6*u**3 + 9*u**3 + 447*u + 16*u**2 + u**2 + 73*u**2 + 168 = 0. What is u?\nAnswer: -24, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**2 + 8*l**2 + l - 11*l)*(-2*l - l + l) + 4*l**3 - 5*l**3 - 2*l**3.\nAnswer: -7*l**3 + 20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-23)*s\/(s\/(s*(((s*s\/(s**3\/s)*s)\/s)\/s)\/s*s*s)*s)*s**1\/s*s\/s**28 assuming s is positive.\nAnswer: s**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23182412773 and 7.\nAnswer: 23182412780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4075480 and 1000?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5351766 to the nearest integer?\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 18)*13\/(-2). Suppose 2*x + f - 747 = -757, -3*f - 20 = x. Sort 5, g, x.\nAnswer: g, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/98)\/(21978\/(-333333)))\/((-6)\/(-7))?\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -2*v**3\/3 - 41. Let r(n) = -1233*n**2. What is p(r(x))?\nAnswer: -3040578*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1142566767.\nAnswer: 3, 19, 6681677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5517 by -3.\nAnswer: 1839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11*12\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.19 + -0.01. Let l = h - -0.1. Are l and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 96535440*q**2. Let w(b) = 6*b. Calculate w(f(c)).\nAnswer: 579212640*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.888 and 1.\nAnswer: -2.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 173880\/(-7938) + (-2)\/21?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 21*g**2 + 7*g. Let l(n) be the first derivative of -7*n**3 - 3*n**2 - 496. Determine 7*l(b) + 6*y(b).\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -5. Find the third derivative of 3 + o*c**2 - 3 - c**2 - 4*c**3 wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 79*u - 79*u + 39*u**5 + 4*u**5 - 4*u**5 - 3*u**5 + (-2*u**4 - 3*u**4 + 3*u**4)*(-23 + 23 + 5*u).\nAnswer: 26*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5447816 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.85 hours in seconds?\nAnswer: 143460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 4*c**2 + 0*c**2)*(-3 - 5 + 3)*(2*c**3 - 5*c**2 + 5*c**2).\nAnswer: -40*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001894 to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s = 55*s - 76. Which is the nearest to -10? (a) -1 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**6\/12 + 3*r**5\/10 - r**4\/4 - r**3\/3 + 3*r**2\/4 - r\/2 - 19. Factor a(g).\nAnswer: -(g - 1)**4*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 2, x: 3, c: 3, f: 1}. Give prob of sequence xjj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*t - 326*t + 57 - 647 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 6*o + 54. Suppose 0 = -y - 2*b - 4, -8*b = 2*y - 3*b + 4. Let t be w(y). What is the smallest common multiple of (t + 17)*2\/(-2) and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 181, 181, 183, 187, 193, 201?\n\"Answer: g**2 - 3*g + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 + 63. Let u be (1*6)\/(21\/v). Which is the second biggest value? (a) u (b) -2\/3 (c) 1\/3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3649617151?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from {u: 1, j: 1, y: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4796.544m in nanometers?\nAnswer: 4796544000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4*i - 4, 2 = -3*d + 2*i. Let z(l) = l**3 - l - 2*l**3 + d*l**3 + 7 - l**2 - 2. Suppose 0 = -5*t - 0*t. Give z(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**7\/42 - 43*t**4\/4 + 93*t**3\/2 - 187*t. What is the second derivative of n(v) wrt v?\nAnswer: 20*v**3 - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*(q*q\/(q*q*q\/(q*((q\/q**(1\/19)*q)\/q*q)\/q)))\/q)))**(-38))**(20\/9) assuming q is positive.\nAnswer: q**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 163741880 a multiple of 3412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 5*j - 15 - 14 = 0, 0 = 2*j - 6 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2 + (-105)\/(-50). Let n = -1065\/38 - -29\/19. Let c = n - -26. Sort c, 1\/5, a.\nAnswer: c, 1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -22. Is 0.1 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2464?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3062\/7 + 277. Let s = 161 + d. Are s and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 5) to base 8.\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 - -166. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 9 = 18. Let z = r + 5. Is -4 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2160 and 2520?\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 117\/4. Let q = 7 - 2. Sort s, -3, q.\nAnswer: -3, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/5 + -3\/10. Let u = -1009878\/1153565 + 870\/1433. Let g = -2\/115 + u. What is the third smallest value in -0.2, g, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 14*w - 11. Let h be b(-13). Suppose 0 = s + h*i - 39, -s + 26 = -i - 28. Calculate the remainder when s is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, v: 1, u: 2, x: 1, b: 4}. What is prob of picking 2 b, 1 v, and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f*(f*f**(2\/5))\/f*f**(-3)*f**8)**(-21) assuming f is positive.\nAnswer: f**(-777\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55193552*i**2*j**3 - 10*i**2 - 12090*i*j**3 - 20292*i wrt i.\nAnswer: -110387104*j**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*(y**12*y)\/y)*y)\/(y\/(y\/y**(-9))))**(-45) assuming y is positive.\nAnswer: y**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/6 and -38\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 l, and 1 t when four letters picked without replacement from {l: 5, d: 2, t: 2}?\nAnswer: 20\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, z: 5, k: 1, o: 1, v: 3}. What is prob of sequence zo?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78945387.\nAnswer: 3, 26315129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -987, 330, 8 in decreasing order.\nAnswer: 330, 8, 1, -987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssossoosssss. Give prob of picking 2 s.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159*j**2 - 23*j wrt j?\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 o, and 2 e when four letters picked without replacement from {r: 2, a: 1, u: 7, s: 2, o: 1, e: 2}.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 272, 308, 358, 422?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**9\/1890 + v**5\/24 - v**4\/4 + 4*v. Let t(b) be the third derivative of a(b). Differentiate t(y) with respect to y.\nAnswer: -32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126331.\nAnswer: 29, 38839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ah when two letters picked without replacement from ahjtaja?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 3549?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -240c0 + -4?\nAnswer: -240c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*c**2 - 89*c**2 - 2*c**3 + 20*c**2.\nAnswer: -2*c**3 - 116*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 7*k. Suppose 2*g + 2*g - 8*g = k. Solve 3*b + 3 + 3 = g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8241, -10372, -13923, -18894, -25285, -33096, -42327?\nAnswer: -52978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -80 - (468 + -452).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 115 - 2*r - 56 - 56 in the form i + t*r and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*y + 2*x, -2*x + 5 = -4*y + 9. Which is the second biggest value? (a) y (b) -31\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 275 and 5543125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4153*m - 74607. Give v(18).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 75*l + 1. Is t(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -61174 and 506.\nAnswer: -60668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 3*j = -6*u, -u + 23 = 5*j. Let 37*x**u - 16*x**2 - 16*x**3 - 17*x**3 + 16*x = 0. What is x?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*o + 34, -2*o - o = -2*w + 43. What is the nearest to -0.2 in 2, -2, 5, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = 34166 + 17734. Calculate the greatest common divisor of 60 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153683?\nAnswer: 313, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4590 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5 - 22*b**4 + 21*b**3 + 1372*b**2 - 1372*b = 0?\nAnswer: -7, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffl when three letters picked without replacement from {f: 2, y: 1, l: 4, h: 1, x: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 2 + (5 - 2). Suppose 4*a - i = 3. Suppose -3*t - a*x = -x - 176, -2*t - 2*x = -114. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (-10 - -32)) + 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23874 + -23873.999988931. What is d rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = -3 + 23. Suppose 4*h - b*n - 74 = 0, -2*h + 33 = -0*h - 5*n. Solve -5*o + 6 = -h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 52 and -0.052324 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*q = -148040, -3*b + 15*q = 13*q - 88843. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-117)\/(-26)*5\/(30\/(-4)). Let q be h\/9 - (-6)\/(72\/124). What is the greatest common factor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (sqrt(130) - (1*sqrt(130) + sqrt(130)) - sqrt(130) - sqrt(130))\/sqrt(10) + (sqrt(26)\/(sqrt(6)\/(sqrt(3)*2)))**2).\nAnswer: -108 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(300) + sqrt(300) + 0 + sqrt(300) - sqrt(300))*-1)*1*3*2)**2.\nAnswer: 1440*sqrt(3) + 43236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39383022 divided by 39383022?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*s = 3*z - 9, 0 = 3*z - 9. Find the common denominator of 35\/16 and (-817)\/(-3648) - (0 + s).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 3.6?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 23784.4?\nAnswer: 7135.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1022 - 1025 - 1010*n - 1653*n to the form p + d*n and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:03 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59 + (-7)\/((-7)\/(-3))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15355, -60949, -136933, -243307, -380071, -547225, -744769?\n\"Answer: -15195*z**2 - 9*z - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -38, -249, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36452171?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 688597949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9980.235 kilograms?\nAnswer: 9980235000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/45*(-147)\/(-294)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -386 - -1174. What are the prime factors of p?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -6, -0.1, 2\/17, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 292*b**2 + 3 + 102*b**2.\nAnswer: -190*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -47, -63, -73, -77, -75, -67?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89029795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 4403126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 397, 861, 1489, 2269, 3189, 4237?\nAnswer: 5401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 5. Suppose 1 = 3*d + y + f, 2*y = -3*d - 2. What is the least common multiple of 2 + d - (-8 + 9) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83979 and 5022486.\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 112202200121?\nAnswer: -112202200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1*(-10 + -9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -z - 8, -3*z - 78*k + 79*k = -11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 + -56. Suppose -15*m - 29*m = -880. What is the remainder when a is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6845 in 1\/3, 5, -4, -2\/17, 250?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3576558 and 2384372?\nAnswer: 7153116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 6*d**2 - 2*d + 12. Let r be m(6). Suppose -j - 7 + 6 = r. Which is smaller: j or 2\/209?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*m**4 - 68982*m**3 - 4233263*m**2 wrt m.\nAnswer: -120*m - 413892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1751 and 8449.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/5 of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -411*w + 766*w + 794*w in the form u + z*w and give z.\nAnswer: 1149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*z**2 - 32*z**2 - 25*z**2.\nAnswer: -35*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/21, -0.2, 13?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**2 - 5*x + 2. Let k(b) = 7*b**2 - 4*b + 2. Let q(y) = 4*j(y) - 3*k(y). Determine q(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*k - 5*k - 3*k + (-2 + 1 - 1)*(0*k - k - k) + 0 + 0 + k - 135*k + 12 + 212*k - 10 to o*k + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12222001231 (base 4) to base 16\nAnswer: -1aa06d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105 + 168. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g - 92. Let i be w(-16). Suppose -i*x**2 - 3*x - 1\/2 + 3*x**3 + 9\/2*x**4 = 0. What is x?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2135 = -234*b - 50*b - 128*b - 15*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 70926783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35712 and -0.5.\nAnswer: -17856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = 4. Suppose p - n = -0. Solve -b = 2*b + p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 4*u = d + 5, 2*u - 4 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6520842 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -25. Suppose u*j = j. Is j equal to -3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.076527*490\nAnswer: -37.49823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o = 1. Let g be -2 - (0 + 1 + o). Sort g, 7, 0 in decreasing order.\nAnswer: 7, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -719438 by 2.\nAnswer: -359719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 30798.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*d*h**2*l**3 - d*h**2 + 375*d*h*l + 27*d*l**3 - d*l + 18*h*l**2 - 2*l**3 wrt l?\nAnswer: -648*d*h**2 + 162*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/376684 and -93\/10.\nAnswer: 1883420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*c - 105 = -126, 4*s - 12 = -2*c. Solve -22 + 5 = -b + s*x, 0 = b - x - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 + 2?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = -3*y + 13, 0 = 4*w + y - 16. Let m(x) = -x + w*x - x. Let i(p) = 5*p**2. Calculate m(i(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -4, -19 in descending order.\nAnswer: 2, -1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (55 - (-8815)\/(-164)) + (-918)\/728\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 + -38. Let v(f) = 5*f**2 - 2*f - 5. Let z be v(-4). Suppose 2*m - t = -3*x, 0 = 4*x + 3*m + 2*m - z. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.271 + 0.371. Let k = -3.923 + -0.137. Let p = k + 0.06. Sort p, r, -2\/15 in increasing order.\nAnswer: p, -2\/15, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/18*33\/(-22).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 425 + -414. Suppose d*q - 15567 = -4083. List the prime factors of q.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 14 + -12 + -23 + (3 - -5) + -7.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 60. Suppose -g*w + 320 = -w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 9*y**2 + 12*y - 28. Let l be a(8). Let o = 2603\/284 + 1\/852. Find the common denominator of o and 918\/(-180) - (l + -1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -2300?\nAnswer: -2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -13. Let c be (2 + (-2 - 0))\/j. Solve o + 3*v - 7 = c, 0 = -0*o + 4*o + 5*v - 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-6)*(-2)\/(-4). Suppose -a*o + 48 = -10. What is the remainder when o is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2337, -4702, -7067, -9432, -11797?\n\"Answer: -2365*t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 - -77. Suppose 186*w - 8 = r*w. Which is smaller: w or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -4, -17, 5 in decreasing order.\nAnswer: 6, 5, 3, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + q**2 + q**3)*(16*q**2 + 0*q - 5*q**2 - q).\nAnswer: 11*q**5 - q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1528 and -67\/14384?\nAnswer: 2747344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*j + k = -57*j - 1, -4*j + 3*k - 11 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.3 (c) 0 (d) -0.4 (e) 21632\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3512459*t*u**3 - 155*t*u**2 - 5*t*u - 104*t + 3*u**2 wrt u.\nAnswer: 21074754*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 248*p - 3573. What is u(15)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 + 4*d**5 - 2*d**4 - d**4 + (-5*d**2 + d**2 + 3*d**2)*(4*d**3 - 3*d**3 + 2*d**3).\nAnswer: -d**5 - 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 7\/2*t**2 - 1\/3*t**3 - 1 - t. Is 3 a factor of w(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 - 106*b**2 + 5*b - 363. Calculate v(53).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -2947562 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.58 * -5.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(132)\/(sqrt(12) + 5*sqrt(24)\/sqrt(2)) + 2 + sqrt(99) + (-1 + sqrt(99) - sqrt(99)))*-1)**2*-5.\nAnswer: -22735\/36 - 380*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.336 + -49274542305?\nAnswer: -49274542306.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**3\/6 - 2*w - 300. Let g(b) = 35*b + 20. Calculate g(c(u)).\nAnswer: 35*u + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-2)\/(-6))\/(128\/(-6528)))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = -4*q + 323. Suppose 3*y - 21 = 2*z, 0 = 8*y - 4*y - 2*z - 26. Suppose -2*o + y*r = -75, 3*o + 2*r - q = -2*r. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1441 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - k - 1215 = 0, 6 = -3*y - k - 904. Let p = 537 + y. Suppose 28 = 4*n - p. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 400 = -89. Let a = 439 - z. Suppose -5*r = -r - a. Is r a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -334148 (base 10) to base 5.\nAnswer: -41143043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1274219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 1. Let t(o) = 2*o + 6. Let m be t(-4). Let i be x(m). Suppose i*g + g = 44. Calculate the greatest common divisor of 99 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g*g\/(((g*g*g\/(g\/(g\/g**1)))\/g)\/g))))\/g**(-7\/6))\/(g**(2\/9)\/(g\/((g**(-4\/5)*g)\/g))) assuming g is positive.\nAnswer: g**(517\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {s: 1, e: 2, g: 2, c: 1, x: 2, w: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 7 - 42. Suppose 0 = n*j - 10. Suppose -4*c**4 + j*c**3 + 5*c**4 + 2*c**4 - c**2 - 2*c**4 - 2*c = 0. What is c?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 10) to base 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5665677350?\nAnswer: 2, 5, 331, 342337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2246 and -77\/367221?\nAnswer: 734442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 32. Is -1*(-3)\/z - -103 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = -106. Suppose s = 3*v + k - 922, -2*v - 2*k = -692. Suppose -4*w + z = -v, -111 = -3*w - 4*z + 140. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/8 (b) 31 (c) -692\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92438.03 days to seconds.\nAnswer: 7986645792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18350704?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slllc. What is prob of sequence cs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*r = 2*t - 14, 3 = -t - 3*r. Sort -5, t, 11, 0 in descending order.\nAnswer: 11, t, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(180)*-2 + sqrt(180)).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 3. Let h = -0.39 - -0.09. Which is the biggest value? (a) h (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 plus -36.3?\nAnswer: -36.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21939, 43867, 65795, 87723, 109651, 131579?\n\"Answer: 21928*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/3*(-3)\/6. Suppose f = 1, -k*y - 4*f + 60 = -29. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.0430135 to one dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -7955277\/130 + 61195. Find the common denominator of x and -101\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1108948, 2217904, 3326860, 4435816?\nAnswer: 5544772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 4 - 1. Let z be k + (-9)\/(-6)*-6. Let t be 8\/6*3\/z. Is 1 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + u - 1. Let t be v(2). Does 16 divide -3*1*(-60)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 16) + (21 - -19).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 7*a = -9*a - 16, -v = 2*a - 9 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*w = -54*w + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 17*k**3 - 9*k**2 - k - 4. Let n(l) = -75*l**3 + 37*l**2 + 3*l + 19. Give 2*n(o) + 9*w(o).\nAnswer: 3*o**3 - 7*o**2 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16633 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.93 + 0.13. Let b = 3 + g. Let y = -0.7904 - b. What is y rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tteeeeitzeeiiettttze.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8414.014ng?\nAnswer: 0.000008414014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1377 (base 8) to base 14.\nAnswer: 3cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2))**(-25))**23*n**(-1\/6)*n*n*n**(-5)*n*(n*n*n**(1\/2))\/n**(-4) assuming n is positive.\nAnswer: n**(3463\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*r - 35*r + 6 = -2*y, y - 3 = r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 9 = o, -r - 6 + 8 = 0. Let q be o\/(-4) + 2937\/12. Calculate the greatest common divisor of 49 and q.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -17*n**2 + 19*n - 1. Let p(f) = -12*f**2 + 14*f - 1. Let v(h) = -7*p(h) + 5*x(h). Give v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 308?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*l + 4 - 21, -4*l = -2*c + 66. Let n be -2*(-5)\/c + (-4)\/10. Sort -3, n, -11, 4 in descending order.\nAnswer: 4, n, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*f**3 - 48*f**3 + 62*f**3.\nAnswer: 146*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3 - 43. Let p = 534 + -530. Sort p, 0, m in ascending order.\nAnswer: m, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -5. Suppose t = -k*t + 100. Suppose -15 - 33 = -5*d - 2*h, -5*d + t = -5*h. Calculate the greatest common factor of 72 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + 0 + sqrt(396) + 4*sqrt(396)*4*2)**2.\nAnswer: -396*sqrt(11) + 431245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/49 (b) -0.1 (c) -3 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 + 0 + 15 - 96\/12. Sort 4, -20, r, -1 in descending order.\nAnswer: 4, -1, r, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 9*v - 13*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*(-4 + sqrt(108) + -2 + (sqrt(108)*3)**2 + -2)*-5*-6.\nAnswer: 1080*sqrt(3) + 173520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -3. Let q(a) = a**3 - 2. What is the smallest common multiple of q(2) and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-8)\/60*10\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*w + 125*w = 14. Put w, -0.0895, -3\/2 in increasing order.\nAnswer: -3\/2, -0.0895, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/173? (a) -0.4 (b) -1\/4 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/((q**0\/q)\/q)))**(-18)*q\/q**(-1)*q**6*q)**(-2\/13) assuming q is positive.\nAnswer: q**(-90\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -265219 (b) -0.19 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -116260 + 1?\nAnswer: -116258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 0*f - 65*f**2 - f**3 - 3 + 35*f**2 + 27*f**2 + f. Calculate o(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**8\/20160 + w**7\/7560 - w**4\/2 + 6*w. Let k(b) be the third derivative of h(b). Determine d so that k(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2)\/j*j**(-2\/3)*j*j**(-25)*(j**(-1\/10)\/j)\/j*j*j assuming j is positive.\nAnswer: j**(-833\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 64605.14284 from 8.47.\nAnswer: -64596.67284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (18 - -6) + 6 + 7.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 11*i**2 - 7*i + 8. Does 20 divide w(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 134 and 15142.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuauauaau. What is prob of picking 1 a and 1 u?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9895160 and 145728720.\nAnswer: 1603015920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(35)*-4)\/((sqrt(360)\/sqrt(8))\/sqrt(9)).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560 = -22*u - 18*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.099267ns to minutes.\nAnswer: 0.00000000025165445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0938 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.3539 + -0.6461. What is the fourth biggest value in -2\/81, -4\/5, q, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.1, 1\/4, -1\/5 in decreasing order.\nAnswer: 1\/4, 0.1, -1\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydlm when four letters picked without replacement from {l: 5, y: 3, d: 4, r: 1, m: 1}?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1183 is divided by 197.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 8 = 0, 2*j - 4*q = -0*j - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 7 - 1)*(2*l - 1 + 1)*(4 - 3 + 1) + l - 3*l + 0*l to the form o + i*l and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 6*p - 8. Let i be t(4). Solve i = 5*g - 3*h + 9, -5*h - 33 = 4*g - 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(77)*4)\/sqrt(7).\nAnswer: 2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*((-4)\/(-14) + (-82650)\/175). Let w = -886 - q. Suppose t - 32 = -t. Calculate the lowest common multiple of t and w.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from hizyrirriz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00584 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(((-1)\/2)\/(-20 + 22)). Suppose -8*x = -4*r - 13*x + m, -3*x + 13 = -r. Let o = -3\/745 - 257\/306195. Is r < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**3 - n**3 + 0*n**3)*(-1 + 1 + 2*n)*(-1 - 3 + 2) + n**4 - 4*n**4 + n**4 to k*n + q + y*n**4 + r*n**2 + w*n**3 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 - ((-46)\/(-16) + 2) and -145\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 9 = -d - 1, 4*d + 16 = -4*t. Let o = -4.5 + 4. Let i = 26 + -26. What is the closest to t in 3, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 320934748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, c: 1, p: 6, o: 1, s: 3}. Give prob of sequence ossp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-11)\/44*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + 59*k**3 + 42*k**3 + 48 - 99*k**3.\nAnswer: -k**3 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 54*r**2 + 405*r + 7. What is the lowest common multiple of 2999 and f(-9)?\nAnswer: 20993","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 521 - 269 - 207)*(-2*z + 4*z - 3*z).\nAnswer: -2*z**3 - 45*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b - 89918 = b + 417118. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*o + 176. Suppose 3*c - o = 28. Solve -c = 4*g - 0*g + 2*v, 5*g + v = -27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 28031.63, 3, 4?\nAnswer: 28031.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.3303 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*h**2 + 2123740*h - 107232380 wrt h.\nAnswer: 20*h + 2123740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*x = 246*x - 9440 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2. Let g(y) = -2*y**2 + 6*y - 6. Let x(z) = 6*z + 16. Let h(t) = -t - 3. Let r(i) = 11*h(i) + 2*x(i). Let o(u) = g(u) - 6*r(u). Give m(o(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 507708168 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00062 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + -12121?\nAnswer: -20000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14*(1 + 5\/(-70)*10). Suppose 278 = x + v*z, -2 = -0*z - z. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12, 27, 48, 75, 108, 147?\n\"Answer: 3*m**2 + 6*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-5\/4)*n**(-3\/10)\/n**(-6)*((n*n**(3\/7))\/n*n**(-3))\/(n*n**(-1\/3)\/n*n)**40 assuming n is positive.\nAnswer: n**(-4943\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354145 and 1034.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/16)\/(1\/2). Suppose 0 = -a - m, -5*a - 35 = -2*s + 28. Solve -3*b = 5*y - 26, -3*b = -b + 5*y - s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 - 760\/(-16))\/((-1)\/(-2)).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 26325426?\nAnswer: -26325422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 109. Suppose -z = -2*t + t. Suppose 22*y - 21*y - t = 0. What are the prime factors of y?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*p - 27 = 0, 3 + 0 = -q + 5*p. Determine f so that -6 + 35 + 4*f**3 - 29 - q*f**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3944 divided by -92?\nAnswer: -986\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 489702808?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 11*s**2 + 4*s - 1705. Give r(3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/395?\nAnswer: 1\/395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 534 - 534. What is the nearest to l in -0.01, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 7.7 and -29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -234, 1\/2, 0.481 in decreasing order.\nAnswer: 1\/2, 0.481, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 138547*c**2. Let p(y) = -2*y**2. What is p(d(t))?\nAnswer: -38390542418*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4481087 - -41281087. Suppose 3*y + 27600000 = 3*j, 3*y - y - h = -4*j. What is j rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*x + 8. Suppose -d + x = -3*d. Calculate the remainder when (-133)\/d + 6\/9 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 200223 + -128236. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 42*v - 29. Let z(h) = -43*h + 29. Let j(u) = -5*u + 14. Let x be j(4). Let y(g) = x*b(g) - 5*z(g). Differentiate y(m) wrt m.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37985 is divided by 128.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*k - 4 = 4*k, 3*u + k = 6. Let v be (0 + -1)\/(u\/(-10)). Suppose -194 = -v*x + 381. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/2132 and 21\/689702?\nAnswer: 1379404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 11*y**2 - 13*y + 2. Suppose 50 = -5*s + 5*m, 2*m + 0 - 14 = s. Give v(s).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 7*p - 6. Determine d(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020 - -21?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.174 - 0.067. Let p = 0.2311 + c. What is p rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 166*r**2 + 3. Let s(f) = f**2. Calculate s(u(z)).\nAnswer: 27556*z**4 + 996*z**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21010102211000 + -1110?\nAnswer: 21010102202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57, 73, 93, 111, 121, 117, 93?\n\"Answer: -q**3 + 8*q**2 - q + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.09 and 7841781.808.\nAnswer: 7841781.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11087860639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 87774, 87543, 87312?\n\"Answer: -231*q + 88005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 77 (b) -65 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -34 (b) 1\/5 (c) -1\/9 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12473458 is divided by 270?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -x, -5*x + 7*q = 2*q - 50. Let u = 8 + -5. Suppose -5*z + g + 602 = -0*z, 2*z = -u*g + 234. What is the highest common divisor of x and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1015*u + 15. Suppose 4*p + 2*p = 66. Let d be l(p). Let x = d - -200599\/18. Find the common denominator of x and 23\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68 minus 2.73453?\nAnswer: -2.05453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 2*c + 2. Let m(u) = -8*u - 8. Let t(z) = m(z) + 4*r(z). Let p(k) be the third derivative of -k**4\/24 + k**2. What is t(p(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4847*t + 42 - 139 - 28 + 4849*t - 98.\nAnswer: 2*t - 223","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1406 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.84 - 0.436. Let j = x - -2.2. Let y = j + 0.13. Round y to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 8 + 17. Let r = -5 + u. Suppose r*n + 0*n + 2*n**2 + n**3 + n = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**4*w - 82*c**4 + c**2*w - 34*c*w wrt c.\nAnswer: -12*c**2*w - 984*c**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003396 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (7 - 3) + -11 + -2 + 6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21728 is divided by 435.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*s + 5 - 5)*((-1 + 3 + 1)*(-2 + 0 + 0) - 1 + 3 - 3 + 0 + 3 - 1 - 1 - 3 + 1 + 6 + 2 - 3) to the form f*s + h and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3892 (b) 0.1 (c) -3 (d) 5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 24 = -s, -80 - 24 = 5*s - 2*a. Let r be (-6)\/(-33) - s\/11. Let c(b) = 5*b**2 - b**2 + 14*b**2 - 2*b**r. Let t(l) = -2*l**2. What is t(c(u))?\nAnswer: -512*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p - 21. Let n be y(14). Let a = 24 - n. Suppose a = -0*l + l. Solve -2*m = 2*m - 3*s - 32, 3*m - 27 = l*s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/11 in 1, -1\/703, 5?\nAnswer: -1\/703","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 + 57*a - 22. Give z(28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 62281, 62370, 62617, 63100, 63897, 65086, 66745?\n\"Answer: 13*k**3 + k**2 - 5*k + 62272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 24*t + 62. Calculate the smallest common multiple of 306 and b(22).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -0.1, 22, -1\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -608*x**3\/15 - 156*x**2\/5 - 4*x\/5 + 1796. Determine o so that k(o) = 0.\nAnswer: -1\/2, -1\/76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 0*g = -g, -5*t + 5 = 2*g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -238 + 241 + (-1 - 4 - (-5 + -15))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Suppose o = 5 - 1. Suppose -h + 5*h - o = 0. Which is smaller: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/6*13\/((-650)\/80)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a millennium in centuries?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49163266763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1589379 millilitres in litres?\nAnswer: 0.0001589379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 342*d - 5644. Calculate z(17).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2263\/15 - 151. Let x = 554 - 606. Which is the second smallest value? (a) 3\/4 (b) x (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, -4, -0.237 in decreasing order.\nAnswer: -0.237, -0.4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-1)\/(3\/(-6)). Suppose o = -4*c - 71 - 33. Let b be (-16)\/(-32) - 7\/c. Is 1 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*j**2 + 61 - 1010*j**2 - 27*j - 1330*j**2 - 61.\nAnswer: -2836*j**2 - 27*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 200837.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 32*b - 310. What is t(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470 = 215*l + 6*i - i - i, 3*i + 7 = -23 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146431 + 5754 = 105*k - 4370. Calculate the remainder when k is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -1 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000647810456 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbmxxmccmntcc. Give prob of picking 1 t and 1 c.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 - 34*s**2 + 5*s - 10. Let n(a) = -a**3 + 35*a**2 - 6*a + 12. Calculate -6*d(o) - 5*n(o).\nAnswer: -7*o**3 + 29*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -10*m**2 + m. Let l be o(-1). Let b = 20 + l. Suppose d - 5*w = -0*d + 22, -2*d + 2*w + 20 = 0. Calculate the lowest common multiple of d and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 15?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.145407ml to litres.\nAnswer: 0.003145407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (636\/13780)\/((-48)\/(-148)) - (3 - 70\/25)\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/9 - 107559914*u**2\/9 + 1446141726121040*u\/9 + 1446142048800800\/3 = 0. What is u?\nAnswer: -3, 26889980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 0*c - 595 + 259 + 220 = 10*w, 8 = -5*c - 4*w - 56 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -18 + 39. Let p = z - 42. Let f = p - -57. Calculate the greatest common divisor of 54 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v - 2*v**2)*(25*v**2 + 72*v - 72*v) + 106*v**4 + 29*v**4 - 34*v**4.\nAnswer: 51*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/159090 and 53\/116798575.\nAnswer: 700791450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62099 = 3*l - 2*a - 185090, -4*l - 4*a = -163948. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f - 9. Let d(w) = -13*w - 13. Let q(i) = -5*d(i) + 7*o(i). Let g be (6 - (5 + 0) - 5) + 2. Calculate q(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -10. Let u = 2 - d. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213 divided by 40.\nAnswer: -213\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.813 - 1.013. What is the third biggest value in -0.1, g, 3.7, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-4\/7))**(30\/7))**(-22))**(-1\/34) assuming p is positive.\nAnswer: p**(-1320\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*r + 19 + 1, -4*g - 1 = -3*r. Is 2 a factor of g\/3 + 88\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 277 + -278. Let k be r\/(-4)*-14*4\/(-7). Solve -2\/7*n**4 + 32\/7*n**3 + 512\/7*n - 512\/7 - 192\/7*n**k = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -2. Let l = -0.4 + 0.43. Let h = l + 1.97. What is the smallest value in q, -2\/23, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1575 - -1623. Suppose t + 2*t + 2*b = 0, -t = 5*b + 13. Suppose 2*n - 480 = -t*n. Calculate the greatest common factor of c and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 + 16 + -21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -229 + 168 - 111*z**2 + 62 to i + l*z**2 + t*z and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2520\/2576)\/(300\/2070).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/11)*s)\/s**(-8)*((s\/(s\/(s\/s**(-1\/3)*s*s)))\/s)\/(s\/((s*s**(-6)\/s)\/s)) assuming s is positive.\nAnswer: s**(104\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*b**2 - 5*b**2 + 9 + 1 - 23 - 20*b**2.\nAnswer: -192*b**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2087174 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124368 or -3855444\/31?\nAnswer: -3855444\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(176) + 3 - -5*-2*sqrt(176)) + 0 + (sqrt(176) - (sqrt(176) + 1 - sqrt(176))) + -4 + (sqrt(176) - (4 + -2*sqrt(176))))**2 + 3.\nAnswer: -3600*sqrt(11) + 440084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let f(t) = 8*t. Let n(h) = 6*f(h) + 52*w(h). Let v(b) = 20*b**2. Calculate v(n(o)).\nAnswer: 320*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445 divided by -235?\nAnswer: -289\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -223 - -227.54. Round o to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**5*p**2 - 130*l**3*p**2 + 14*l**2 + 2*l*p**2 + 5*p wrt l.\nAnswer: -240*l**2*p**2 - 780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -45, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6418680 by -1780.\nAnswer: 3606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -585, -791, -999, -1209, -1421?\n\"Answer: -q**2 - 203*q - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.9 - 0.1. Let d = 0.6 + -0.66. Let f = d - -0.06. Are i and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 12:28 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6740137, -6740134, -6740129, -6740122?\n\"Answer: a**2 - 6740138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1, -4, -5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19176\/2720 - (-2)\/(-40). Solve -2 = 10*r - 11*r - o, 2*o - z = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 13*n**3 + 6*n**2 + 8*n + 6. Let o(k) = k**3 + k**2 + k + 1. What is d(u) - 6*o(u)?\nAnswer: 7*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 20 - 7*k - 265*k**3 + 738*k**3 + 4*k**2 - 9*k + 30. Is t(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 259\/(-37))*1\/(-2)*2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*f - 27 + 8, f - 2*m + 4 = 0. Let t be -2*(2\/3 - (-199)\/f). Let o = -24 + t. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - (-18 + 16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*y = -159*y - 55. Solve -3*t = f - 11, -y*t - f - 4 = -19 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*t = 18, 2*z + 7 = t + 1. Let b be 5*((-608)\/140 - z). Which is bigger: -3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 36 + 20*h**2 + 12*h**2 + 0*h**3 - 4*h**3 + 4*h**3 + 144*h + h**3. Let q be d(-26). Calculate the highest common factor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 1527 = 3225. Calculate the highest common divisor of r and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -47, -84, -117, -146, -171?\n\"Answer: 2*a**2 - 43*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23126.\nAnswer: 2, 31, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 4*g**3 + 16*g - 16*g.\nAnswer: -4*g**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 182*k**2 - 307*k + 41180. Calculate y(-179).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179ca (base 14) to base 13.\nAnswer: 21160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -45\/2. Which is the second smallest value? (a) -1\/4 (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 354 and 10382289.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(21))\/sqrt(7) + (sqrt(243) + sqrt(243)*2 - sqrt(3))**2.\nAnswer: 3*sqrt(3) + 2028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/330*115 - (-4)\/(-1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6930.2685 and -1.17026.\nAnswer: -6931.43876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 12, 0.5, -2.6, 3, 8, 0, 336?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 870\/(-203) - (59 + -53 + (-44)\/7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 109, 115, 123?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 5. Calculate the lowest common multiple of o(6) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4310 + 6?\nAnswer: 4316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261 = 42*f - 503 - 160 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*v**3 + 48*v**3 + 51*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**2 + 7*y - 3. Let b be j(-7). Let l be 1\/(-5) + b\/(-385). Factor -6\/7*k**3 - l*k**2 + 2\/7*k + 0.\nAnswer: -2*k*(k + 1)*(3*k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5120 by -1280.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*p = 186*p + 4518 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1142369630?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 3*a - 41 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/6308 and -1\/16.\nAnswer: 25232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 2:09 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 3*w + 14. Let y be u(-6). Let n = y - -7. Solve n*g + 2*g + 10 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -107, -175, -261, -371?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*s + 311*s = -256 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2552\/232 + (2 - (-307)\/(-23)))\/(-4)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 127*y + 1530. Let h = -2 - -8. What is the remainder when h is divided by l(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1876020408 to the nearest integer?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 4*v**2 - 3*v + 3. Let s be n(-4). Let y = 1927 + -1914. What is the highest common divisor of y and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**16)**(-12) assuming f is positive.\nAnswer: f**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 2\/11, -1\/4, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**2 + 2712. Let k(o) = 862*o**2. Calculate k(v(x)).\nAnswer: 3448*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 15 = 9. Suppose u - r + 0*r - 18 = 0, 5*u + 3*r = 82. Suppose -t*w + 3*w - u = 0. What is the remainder when w is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107 + -44. Suppose -m + 363 = 5*k, -4*m = -0*m + 8. Let p = s - k. What is the closest to 1 in p, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 2638?\nAnswer: 2635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p**2 + 0*p**2 + 15*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times -9090?\nAnswer: 154530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-87 + 1 - -72).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 369 + -531. Let x = t - -164. Are x and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 + 3*n**2 - 113 - n + 28*n = 0 for n.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 897.369 tonnes to micrograms.\nAnswer: 897369000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 4*c - 36. Suppose -4*b - b = 4*s - 26, 5*s + 4*b = c. Solve 0 = 5*q - s*q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138888 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/59?\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -580 + 587. Calculate the remainder when 11 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -156*a + 101*a + 17401505. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.095 + -207591.59?\nAnswer: -207591.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118 + 181. Suppose r + v = 4*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20*(-12)\/(-32)*(-8)\/(-6). Suppose r = 5*o + u, r + 6 - 4 = -o. Put 15, 3, o, -3 in descending order.\nAnswer: 15, 3, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29998.\nAnswer: 2, 53, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**6\/120 - 11*z**5\/60 - 13*z**4\/24 + 3*z**3\/2 + 13*z**2. Let q be s(-10). Suppose -4*c + 7*c = q. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10238 is divided by 1684.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**3*l**3 + 92*k**3*l*z**3 - 2*k**3*l*z - k**2*l**3*z**3 - l**3*z**3 - 14*z**2 wrt k.\nAnswer: 12*l**3 + 552*l*z**3 - 12*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*u - 89 = 4*u, -3*c - 50 = -u. Let k = 21 - c. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2152 + 531 = 128*r + 251 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 926285 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*f = -105, 8*s + 105 = 3*s + 5*f. Does 26 divide (-2597)\/s + 9\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*s - s + 32, -4*g - s = -38. Let q(p) = -p**3 + 6*p**2 + p - 6. Let l be q(6). Put -4, l, g in increasing order.\nAnswer: -4, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 - 204 = -5*z. Suppose 29 = i - 3*p, -i + 2*p = 5*p - z. Let n be (-1)\/4 - i\/(-48). Which is the second biggest value? (a) n (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238959 is divided by 90.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a tonne in kilograms?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 8*r + 20. Let x be h(-5). What is the hundreds digit of 99\/1 - (4 + -12 + x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 16355*i - 16358*i - 14, 4*s = -2*i - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**5 + 7*l**4 - 274827*l**3 + 2*l**2 + 59962*l + 16 wrt l?\nAnswer: -120*l**2 + 168*l - 1648962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/21 and 32\/1059.\nAnswer: 7413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1152*b**2 - 569*b**2 - 582*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101000010 + -10?\nAnswer: -111101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -19\/6, 0.57 in ascending order.\nAnswer: -19\/6, -0.4, 0.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.65598 tonnes to micrograms.\nAnswer: 6655980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**4 + 63822*x**3 + 268*x**2 - 2*x + 9 wrt x.\nAnswer: 48*x + 382932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = d + i, -3*d + 4*d - 15 = 4*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2457.35182 rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 320.7 - 307. What is l rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, p: 5, x: 3, u: 2}. Give prob of sequence jj.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-250)\/40)*(-10)\/4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u*u**7)\/u*u*u)\/(u\/u**(-2\/7))*(u\/((u**(2\/9)*u)\/u))\/u**(-5))\/(((u\/(u\/u**(-1)))\/u)**(-20))**10 assuming u is positive.\nAnswer: u**(-24224\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 0*p - 17\/2*p**2 - 8 - 1\/3*p**3. What is the remainder when h(-14) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(1\/10))**(2\/11) assuming b is positive.\nAnswer: b**(19\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.256\nAnswer: 0.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37138 by -177.\nAnswer: -37138\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2*c + 3, -6*c + c = 0. Suppose 0 = v - 1 + x. Let k(r) = 5*r**2 + 4*r**2 + v*r**2 - 4*r**2. Let i(t) = t**2. Determine k(i(q)).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 32 = -4*x, 2*x - 2*i - 14 = 2*i. Let b(q) = -q**2 + 13*q - q**2 - 36 + 3*q**2 - 2*q**2. Let n be b(x). Solve n = -4*u + 8 + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 - 63. What is the nearest to -1 in 0, 0.2, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 14 = 2*p, -34 = u - p - 38 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7777550\/39 equal to -199423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*v - 114. Let h = v + 39. Suppose 2*q - h*x = 15, -5*q - 2*x = 1 + 5. Solve -4*z - 9 - 3 = q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -12*l**2 + 4*l. Let b(j) be the third derivative of j**4\/8 + 126*j**2. Give b(u(w)).\nAnswer: -36*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 + 69.1. Let x = 0.6 - h. What is the second smallest value in -2, 1\/3, -2\/3, x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -16*q - 14. Let j be g(-1). What is the third derivative of 64*m**4 - 11*m**2 - m**j - 113*m**4 wrt m?\nAnswer: -1176*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/((-84)\/(-2)))\/((-2)\/4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -0.5, -3\/2, -6.6, -77, 84?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 645 or -1.03431?\nAnswer: 645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrnprnhhpriiiirprn. What is prob of picking 1 r, 1 n, and 1 h?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = -4*p + 5*f, -16 = -p - 4*f. Suppose -k = -3*u - 0*u + 6851, p = -5*u - 3*k + 11437. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*k**3 - 122*k**3 + 239*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76354 is divided by 509?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 3\/(-9) + (-14)\/21. List the prime factors of (2\/(-4)*k)\/(6\/6108).\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(33)*-1)\/(sqrt(22)\/(sqrt(2) - sqrt(50))).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (22\/1)\/(-2 + 16\/7) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 3*r + 2086 - 2181, -4*r + 2*u = -52 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, p: 3}. What is prob of picking 1 c and 1 p?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/7)\/(13\/1638*-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k + 4 = 24*k. Put -2, 3, k, -5 in decreasing order.\nAnswer: 3, k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39 and -0.13071.\nAnswer: -5.09769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 11*s + 30. Suppose 63*g - 60*g = 36. Let c be g\/60 - (92\/10 - 2). Let f be a(c). Solve -5*l - 4*u + 3 = 0, f*l - 3*u + 3 + 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/11, -3\/7, 0.5 in decreasing order.\nAnswer: 0.5, -3\/7, -14\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -12. Suppose -2*v + 5*u - 1885 = 0, -3071 - 774 = 4*v + m*u. Let g = v + 645. Round g to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - r**2 + 59. Is x(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93 (base 15) to base 13.\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 1747*l**6\/120 - l**5\/20 + l**4\/6 + l**3\/6 - 199*l**2. Is t(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**8\/1344 - s**7\/840 + 8*s**2 - 5. Let x(j) be the second derivative of y(j). Let x(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-26)\/(-8))\/(15\/(-20)). Let v = -4 - o. Which is the closest to v? (a) -2\/7 (b) -1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 12:33 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 197 + 4*c + 41*c**2 - 79*c**2 + 47*c**2.\nAnswer: 9*c**2 - 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50188477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((2*sqrt(4) - sqrt(4))*2)\/sqrt(2) + 6*sqrt(6)\/((sqrt(24)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 - 96*k - 4. Determine j(32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - 2*w**5 + 2*w + (-1 + 1 + 1)*(-3*w**5 + 5*w**5 - 4*w**5).\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6997318, 13994637, 20991956, 27989275, 34986594?\n\"Answer: 6997319*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(650) + -4*1*sqrt(26))\/(2*((-2*sqrt(192))\/sqrt(12) - sqrt(16) - sqrt(16) - sqrt(16))\/sqrt(8)))**2 + 3.\nAnswer: 6033\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**3 - 2*p**2 + 3*p + 2. Let z be x(-2). Suppose z = 2*i + i. Find v, given that 2\/11*v**5 - 4\/11 + 6\/11*v + 0*v**i - 8\/11*v**3 + 4\/11*v**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 3323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/9)*w*w**3)\/(w**(-6)*w*w\/(w\/(w**(-3\/4)\/w))) assuming w is positive.\nAnswer: w**(431\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31360 = 169*m - 521*m - 470*m + 38*m for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.34 + 7.1. Let i = -1.06 + h. What is the second smallest value in 7, i, 4, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (3 - (4 - -9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 - 4*u\/3 - 657\/2.\nAnswer: (u - 27)*(3*u + 73)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 49*o**2 + 1141*o - 32509.\nAnswer: -(o - 59)*(o - 19)*(o + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3))**(-4\/7)\/(t**(4\/5)*t**(-26)\/t))**(-29) assuming t is positive.\nAnswer: t**(-28333\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.06, 31, 327, 0 in decreasing order.\nAnswer: 327, 31, 3\/2, 0.06, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -417 (c) 0.0649\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2*sqrt(99) + sqrt(99) - sqrt(99))\/sqrt(9))**2 + sqrt(44)\/(1*sqrt(4) + sqrt(4)) + 5.\nAnswer: sqrt(11)\/2 + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2625, 5775, 11023, 18369, 27813?\nAnswer: 39355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 9307 and 9312 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 17*z + 185. Let m be l(25). Calculate the greatest common divisor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 12*b - 140 = 0. Suppose 18*a - b*a + 6 = 0. Solve y - a = -4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 12:40 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1503 + -990. Let j be k\/45 - 4\/10. Solve -4*f + f - 3*a = -3, -5*f - 2*a = -j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9264959 millilitres to litres.\nAnswer: 0.0009264959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 11) to base 8.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-4)\/9)\/((-3436)\/(-12)))\/((-29)\/(-522)). Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3215684 divided by -3215684?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 0 + 0*v + 0*v**5 - 2*v**2 + 0*v**3 + 1\/96*v**4 - 1\/480*v**6. Factor x(p).\nAnswer: -p*(p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**14*o*o*o**6*o assuming o is positive.\nAnswer: o**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = z + 12, -2*x - 2*x = 3*z - 20. Let v(l) = 5*l - 3. Suppose -j + 4 = q, -8*q + 4*q = -4*j - 8. Let t(a) = -2*a + 1. Determine q*v(k) + x*t(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 10, -4*p + 2*w + 76 = -128. Let x be p\/26 + (-53)\/28. Which is the biggest value? (a) 0 (b) x (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 18 + 6)*(3*t + t - 3*t)*(0 + 2 + 0) + 3*t + t - 5*t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-12\/13))**(-37\/3)*(r**(-1))**(-2\/17)*r**6\/(r**2*r) assuming r is positive.\nAnswer: r**(3205\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 6 (b) -0.1 (c) 1\/8 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -12. Let c(m) = -2*m**2 + 3*m - 1. Let u = 36 + -38. Let q(z) = 6*z**2 - 9*z + 3. Let l(w) = u*q(w) - 7*c(w). What is l(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + w - 3*m + 3, -40 = -5*w - 2*m. Let b(z) = 5*z - 15. Let a be b(5). Let k = 12 - a. Solve 0 = y - 3*r - 1, -w + k = 4*y - 4*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -7*r**3\/6 - 166*r. Let j(a) = 13*a**2 + 1. Calculate l(j(i)).\nAnswer: -91*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 9*x. Suppose 8*o + 42 = 10*o. Let m(z) = -z**2 + 19*z + 43. Let y be m(o). Solve -v = -x*v - y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 15 - (-52 - -33).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14354087 to the power of 1\/3, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-4))\/(3\/2))\/(6\/126)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/7 (b) -1\/3 (c) -3 (d) 4699\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1164 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -158 - -162. Let f be (j\/5)\/((-6)\/(-30)). Let i(h) = h**2 - h + 1. Let x(o) = -3*o**3 - 2*o**2 + 2*o - 4. What is f*i(l) + x(l)?\nAnswer: -3*l**3 + 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*((-3)\/(-2) - 2). Suppose a = -0*m - 4*m + 24. Let w = m + -4. Let s(p) = -p**3 + p**2 - 3*p + 2. What is s(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36349\/8527 or 5?\nAnswer: 36349\/8527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c + 6*c + 3*c**2 + 8*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-14)*13\/(130\/70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*v**3 + 34*v**3 - 1425*v**2 - 620*v**2.\nAnswer: -38*v**3 - 2045*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k + r - 24, -4*k + 3*r + 48 = 0. Suppose k = -x - 19. Let f = -9 - x. Calculate the highest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62443?\nAnswer: 41, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-5)*i)\/i*i*i*i**(-3\/7)\/i)\/(((i*i*i**8*i)\/i)\/i**2))\/((i*(i*i**10*i)\/i)\/i**(2\/7))**(-8) assuming i is positive.\nAnswer: i**(576\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -161.96.\nAnswer: 161.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 2. Let v be s(-4). Let x be (40\/25)\/(v\/10). What is the units digit of -1 - (x + (-5 - -3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39883?\nAnswer: 39883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, z: 5, f: 1, x: 3, i: 4, j: 1}. Give prob of picking 2 f, 1 v, and 1 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*m - 598 = 30*m. Calculate the lowest common multiple of m and 18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -719 + 60843. List the prime factors of h.\nAnswer: 2, 15031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 85?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 766 + -629. What is the greatest common divisor of m and 8494?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 + -1.2. Let x = 0.029 + -10.029. Which is the third biggest value? (a) -2\/7 (b) m (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/10 - i**5\/30 + 23*i**4\/24 - 18*i**2 + 2. What is the second derivative of g(n) wrt n?\nAnswer: 72*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3288 divided by 1644\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - (-14)\/7 - -11. Which is the closest to -2? (a) 4 (b) i (c) 2\/5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307300784.\nAnswer: 2, 7, 53, 51769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -17*f + 108. Give j(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u - 2. Let b be c(-2). Suppose -5*h = -2*d - 6*h - 15, -h - 10 = d. Sort d, -1, b in descending order.\nAnswer: b, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgfiiuf. What is prob of picking 1 f and 2 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/256 and (-5 - (-17 - (-86391)\/7200))*55\/2?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**3\/3 - 5*z**2\/2 - z. Let k be d(4). Suppose 47 = k*h + 11. 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: Is 260687783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5807297?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 6:14 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n**2 - 11*n + 46. Is c(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2439990.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) -3 (c) 1\/18 (d) -2\/25 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 - 801*r**2 + 838*r**2 - 2*r**2 + 9*r**2 + 4*r**2 + (-6*r + r + 3*r)*(-2*r - 2*r + 6*r) to j*r**2 + p*r + b and give j.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(104)\/(sqrt(2) + sqrt(50)))\/sqrt(4) + -5 + sqrt(13) + 0 + sqrt(13) + -1*(sqrt(13) + -2).\nAnswer: 1 + 7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707148 a multiple of 394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182*-137.\nAnswer: 24934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1019\/182 - -135\/13. Let i = 1660401766\/693 - 2395964. Let w = 1\/126 - i. What is the common denominator of w and z?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h**2 + 4*h**2 + 2*h**2)*(6 - 4 - 5) + (4*h - 4*h - 3*h)*(-12*h + 53*h - 163*h) to j + g*h + w*h**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 - -200. Suppose -4*r + v = -53. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1483413333 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -76\/3, -7.67, -2\/3, -3, -0.5?\nAnswer: -7.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**9\/1512 + y**8\/840 - y**3\/2 - 2*y. Let a(p) be the second derivative of h(p). Factor a(n).\nAnswer: 2*n**4*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 648, 3, -1\/4, 0.0638 in decreasing order.\nAnswer: 648, 3, 0.0638, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 131, 241, 333, 401, 439, 441, 401?\n\"Answer: -n**3 - 3*n**2 + 126*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 188 + -177. Calculate the common denominator of (z\/30)\/(-11)*10\/4 and 19\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**3\/3 + 3*u**2\/2 - 8*u + 4. Suppose 0 = -4*g - 5*r - 42, 2*r + 38 = -4*g - r. Is 16 a factor of f(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 20 + 850. Let o(u) = -u**2 + u. Let d(n) = -87*n**3 - 435*n**2 + 435*n. Give r*o(m) + d(m).\nAnswer: -87*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5824950025 to 5 decimal places.\nAnswer: 0.5825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297980 is divided by 59595.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78661, 157383, 236247, 315319, 394665, 474351, 554443?\nAnswer: 635007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-15)*d\/d**(-1\/16))**(-36) assuming d is positive.\nAnswer: d**(2007\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -327 in -3, 1, 0, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 3:06 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-10)\/(-15)*-3)\/(2\/(-156))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2443240 and 488648.\nAnswer: 2443240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by 1\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 427\/282 + -2\/141. Let y(b) be the first derivative of -17\/3*b**3 + 2 + 21\/5*b**5 + 8*b**2 - 4*b - i*b**6 - 7\/4*b**4. Determine j, given that y(j) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000030255 rounded to seven dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 519 and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**8\/168 + 11*b**7\/42 - 29*b**4\/8 + 669*b**2. What is the second derivative of t(y) wrt y?\nAnswer: 40*y**3 + 660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/87399340 and -12\/89183?\nAnswer: 87399340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*s**3 - 5*s + 5*s)*(-s + 0*s - 5*s).\nAnswer: 84*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1515906996 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 25 - (20 + (-8 - (4 - 8))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7961080463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4 - 6 + 6*z + 19*z. Let n be o(3). Suppose -5*c - i + n - 14 = 0, 4*c + 5*i = 45. Solve 0 = 3*t - 5*t - c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -7 - (29 + -9 + -24)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -250, -2\/91?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 14?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 5:02 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.73 and -842429.\nAnswer: -842429.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -92226 or -92234?\nAnswer: -92226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 8 = 64. Let x = h - -40. Suppose -g - 5*j + 4 + x = 0, -5*j - 64 = -3*g. Solve 0 = 5*a + 3*k - 6 + g, 3*k - 18 = 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 19 + -3 + -5 - 13.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from uukuukuuuuukuuukkk.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 657676.4024 + -0.33.\nAnswer: 657676.0724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -180*a**5 + 152004*a**4 + 1309456*a**3 + 641584*a**2 - 109184*a = 0.\nAnswer: -8, -2\/3, 0, 2\/15, 853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22548 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.207256 to two dps.\nAnswer: 44.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:50 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54028046 and 8.\nAnswer: 432224368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (11216\/(-1260))\/2. Let z be (-264)\/1155 - 0\/1. Let m = z + t. Which is the second smallest value? (a) m (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*q + 406 - 369 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -0*v - 3*v - 4*y, 0 = 2*v - 2*y - 138. Is 23 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 406\/(-84) - 3\/18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2834733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -11. Calculate the remainder when z is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/4)\/(3\/(-3)). Let g = 762 + -763. What is the third smallest value in 3, g, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrkk when four letters picked without replacement from rlrkkrlkrrk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-44)\/3*(-21)\/14. Let f = 335\/204 + -1\/17. Find the common denominator of (3 - 5) + z\/(-28) and f.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*z**2 + 368 - 562 - 80*z + 196 as s*z + p*z**2 + d and give s.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 1)*(0*s - 8*s - 10*s)*(-2 + 2*s**4 + 2).\nAnswer: -108*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -16. Let t(f) = 3*f**2 - 4*f. Let p be t(a). Calculate the highest common factor of 60 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.01 (b) -3 (c) 4\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/7 + 16*s**4\/7 + 48*s**3\/7 - 38*s**2 - 119*s + 294.\nAnswer: (s - 3)*(s - 2)*(s + 7)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -59*m**4\/12 - m**3\/3 - 125*m**2 + 2*m - 22. Find the first derivative of f(j) wrt j.\nAnswer: -118*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 8:00 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**5\/60 - h**4\/24 + 2*h**3\/3 + 27*h**2 + 1. Give u(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - 3.7. Let u = -1014 + 1015. What is the closest to u in n, 2, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 89148*k + 9 - 16.\nAnswer: 89148*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-16)*(-4)\/15.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 4:39 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -872960 by 620.\nAnswer: -1408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 0 + (-34 - -12). Does 14 divide (-6)\/i - 383\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - s + 2. Let l be k(0). Suppose 2*g - 13 = -3*w - 6, 0 = 4*g + 2*w - 10. Let f be 1 + (-8)\/g + 0. Put f, l, 4 in descending order.\nAnswer: 4, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a (base 12) in base 5?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9526, -19071, -28616, -38161, -47706, -57251?\nAnswer: -66796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6945 divide 2121205428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - y**2 + 2*y + 1. Let s(z) = -4*z**3 - z**2 + 38*z + 1. Calculate k(j) - s(j).\nAnswer: 3*j**3 - 36*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1677 is divided by 281?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2366\/21 + (-12)\/(-9). Let -33*g**3 - 3*g**4 - 11*g - f*g**2 - 72 - 293*g + 148*g = 0. Calculate g.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 390 and 312.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -156760 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 20 = -v, 12*v - 9*v - 3*k = -12. Let j be (6\/15)\/(5\/(-1 - 24)). Sort v, j, -57 in ascending order.\nAnswer: -57, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 19*o + 2378. Let c(w) = 7*w**2. What is i(c(h))?\nAnswer: 133*h**2 + 2378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, -1\/1351, 29 in descending order.\nAnswer: 29, -1\/1351, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 t when three letters picked without replacement from vhhtthbtbhhe.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -3, 2, 1\/2, 6\/13, -0.51 in increasing order.\nAnswer: -15, -3, -0.51, 6\/13, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30708*g*h**3 + 5*h**3 - 46*h - 4 wrt g.\nAnswer: -30708*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + (sqrt(1584)*2 - sqrt(1584)))\/(2*sqrt(64)) + (4*(sqrt(11) + -1*sqrt(11)*1 - (-3 + sqrt(11) + 0)))**2.\nAnswer: -761*sqrt(11)\/8 + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1356\/7 - 194. Let r = -12 - -8. Which is the nearest to 2\/9? (a) -5 (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-52 - -44375) + (2 - 4).\nAnswer: 23, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -12435*p - 1900. Let v be a(-100). Round v to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 5:21 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2612690184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u + u - 2*u + (1 - 5 + 3)*(225*u - 127*u + 227*u) in the form k*u + v and give k.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z = -8. Suppose -z*w + 4 = -6. Factor 2*n**5 - 5*n**3 - 3*n**5 + n - 4*n**3 + 7*n**2 - 3*n + w*n**4.\nAnswer: -n*(n - 2)*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1896, -1888, -1866, -1824, -1756, -1656, -1518?\n\"Answer: z**3 + z**2 - 2*z - 1896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3231, -6463, -9695, -12927?\nAnswer: -16159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6 + 1 + 2*h**2 - 3*h**2 + 8*h + 4*h. Let o = -6 - -11. What is the remainder when p(o) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1574 by -2376.\nAnswer: 787\/1188","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6486907 (b) 0.8 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*63\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41025, 3, 1004 in descending order.\nAnswer: 41025, 1004, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 241 - 184. Let r = -40 + s. Calculate the highest common factor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147495042.\nAnswer: 2, 3, 569, 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eim when three letters picked without replacement from wmwileblbbl?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 7*o + 1. Calculate the remainder when 63 is divided by i(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 62*f**2 - 69*f - 866. List the prime factors of p(-11).\nAnswer: 3, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18690 and 9030?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1125698, 0.4, 2 in increasing order.\nAnswer: 0.4, 2, 1125698","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -3995, -32012, -108085, -256244, -500519?\nAnswer: -864940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5592 * -0.687.\nAnswer: 3841.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/14514 and -9\/19352?\nAnswer: 58056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7))**7 assuming m is positive.\nAnswer: m**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**3\/6 - 16*k. Let a(q) = q**2 - 9*q - 6. Let i be a(8). Let o = -20 - i. Let n(d) = d. Determine o*j(u) - 3*n(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -14*k**2 + 51*k**2 + 25*k**2. Let v(p) = 7*p - 18. Let t(w) = 3 - 15 + 27 - 6*w. Let j(u) = -6*t(u) - 5*v(u). Calculate j(y(c)).\nAnswer: 62*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -1\/4, 5, 0.067?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.2 (b) -4650 (c) 2\/33 (d) -3 (e) -0.05 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 0, -3\/5, -0.72?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 - 27*i - 3. What is t(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76744079207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3757 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 - 9271 - 6*t**2 + 18538 - 9267.\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/209100 and 32\/11475?\nAnswer: 1881900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*z + 2*z = -195 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659689.\nAnswer: 659689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s. Suppose 3*v + 6 = 3*g, 2*v + 0*v = 5*g - 13. Let f(i) be the third derivative of 1\/12*i**4 + 0 + 0*i + 0*i**g + i**2. What is j(f(b))?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.046 (b) -2\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.427066 micrometers?\nAnswer: 6427.066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b. Let r(t) = -6*t + 549. Give m(r(i)).\nAnswer: -12*i + 1098","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4840, -9686, -14540, -19408, -24296?\n\"Answer: -z**3 + 2*z**2 - 4845*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117203 (base 8) in base 2?\nAnswer: 1001001111010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306 + 74 + 103 + 129 - 134*a.\nAnswer: -134*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = j - 0. What is the remainder when 47 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2)*(-2*q + 0*q + 7*q) as f*q + d and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 196892 - 1177615\/6. Let u = -628 + w. Find the common denominator of 50\/7 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 10 = x. Let l be 16\/6 - 4\/6. Let k be (-2)\/(-4)*(l - 2). Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/3 - 109614*q**2 - 4506094498*q - 94611871886\/3 = 0. What is q?\nAnswer: -82207, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*o - 48. Suppose 5*g - o*g = -1041. Suppose -868 = -9*c + g. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-120)\/35)\/((-8)\/700)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 620826?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -414 (base 6) in base 9?\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -350.7 - 2.3. Let v = -352.519937094 - 0.480081006. Let y = o - v. Round y to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00499221633 to five decimal places.\nAnswer: -0.00499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.8 - -3.2. Let b = -13 + i. Which is bigger: b or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 6*m - 6. Let i be 36 - (5 + (7 + -5)*-2). Let q(r) = -7*r**3 + 35*r - 35. Give i*x(k) - 6*q(k).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*r - 79519 - 20704. What is the remainder when r is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -60. Which is the second biggest value? (a) h (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 533395178 and 3733.\nAnswer: 533398911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -29. Let o = q - 10. Factor 2*g**5 + g**3 - 4*g**2 - 4*g**3 + o*g**3 - 3*g**3.\nAnswer: 2*g**2*(g - 2)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 15*w = 1320. Suppose 0 = -6*t + 2*t + 40. Calculate the greatest common factor of w and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 5 - 33 = 0. What is the tens digit of 1027\/7 - o\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -14, -0.5, -4, 16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27254897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -190 + 188. Which is the nearest to 3\/4? (a) -5 (b) t (c) -0.066\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 63*l**2 + 131*l + 256. Determine q(-65).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147, -464, -1003, -1770, -2771?\nAnswer: -4012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00649 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 1\/42*p**7 - 20*p**2 + 0*p**6 + 0*p**4 - 63*p + 1\/20*p**5 + 0 + 1\/6*p**3. What is the second derivative of l(x) wrt x?\nAnswer: 20*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 16*w**2 - 22*w**2 + 5*w**2. Let f(s) be the first derivative of -s**4\/2 - 5*s**3\/3 - s**2\/2 - 1. Let j be 8\/12 + -17*4\/12. What is j*b(k) + f(k)?\nAnswer: -2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*f**4 - f**3 + 14*f**2 - 154*f + 7047338 wrt f?\nAnswer: 104*f**3 - 3*f**2 + 28*f - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -267, -441, -615, -789?\nAnswer: -963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**4\/4 - 17*o**3\/6 + 11*o**2\/2 + 35*o. Let f be y(9). Let t = f + -62. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*(2*(sqrt(130) + 2*sqrt(130)))\/sqrt(10))**2.\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2245 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + 4)**2*-6 + (sqrt(931) + sqrt(931) + 2 + 2 + sqrt(931) - sqrt(931) - sqrt(931)) + -1.\nAnswer: -5679 - 329*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**5\/9 + 2*p**4 - 28*p**3\/9.\nAnswer: -2*p**3*(p - 7)*(p - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -997220*t**2 + 9*t - 26. Let a be h(-6). Round a to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, 2738752 in ascending order.\nAnswer: 2, 8, 2738752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from {v: 10, l: 2}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 4*p**2 + 3*p + 3. Let u be b(5). Let x = -1\/120 - -2\/15. Calculate the common denominator of x and 3075\/(-140) - (-2)\/u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s - 5*y + 5 = 220, -38 = 4*s + 2*y for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -32.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, y: 4, d: 6}. What is prob of sequence ddyy?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 4*g - 17. Let j be c(-8). Let o be 0 - (-13 + 3\/(-3)). Let q = j - o. Solve q - 11 = 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 3:26 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 301 and 0.2466438?\nAnswer: 300.7533562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/7 + (-24)\/182. Let f be (-7 + -1)\/(38\/76). Let x be (-2 - -2)*f\/32. Is x >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*2\/(-14))\/((-456)\/(-84)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1554753 is divided by 4614?\nAnswer: 4449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 197135429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 + -c6?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 13*s**3 - s**2. Let x be k(1). Let w be (-5)\/10 + 4194\/12. Suppose -w + 409 = 6*z. Is z > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -656 (b) 1\/7 (c) -3\/5 (d) -40 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218487 is divided by 9103?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**6*f)*f)**1 assuming f is positive.\nAnswer: f**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 8. Let m be j(8). Suppose 0 = 4*r + 2*x + m - 6, -5*x - 5 = 0. Let t be 2\/(-9) - 0\/r. Which is greater: -3\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 12. Suppose 2*p = -q + 14. Is 12 a factor of p\/(8\/6) - -46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 11*c**2 - 12*c + 2. Let a be u(12). Calculate the remainder when (1 - -1)*(1 + 16) is divided by ((-25)\/a - 1)\/((-21)\/28).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, 18, 5, -5.\nAnswer: -5, 0, 5, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 20?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2835)\/420 + (-3)\/(-4). Let m(o) = 21*o**2 - o - 19*o**2 + 6*o + 4*o. Determine m(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 + 67*v + 297. Calculate z(29).\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*d - 9*d - 27 - 85 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25815.\nAnswer: 3, 5, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 17. Suppose 3*i = 8*i + 195. Let j = i - -70. Calculate the remainder when j is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15*(22\/(-10) + 2). Let z(g) = -g + 7. Let i be z(h). Calculate the remainder when 2616\/104 + i\/(-26) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10259*h**2 - 321 - 1070 - 147 wrt h.\nAnswer: 20518*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2 (c) -34\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -963 - -992. Solve 0 = 2*m - j + 37 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24086324, 24086325, 24086326, 24086327?\n\"Answer: o + 24086323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5487 - 5432. Suppose -5*h = -31 - 44. Calculate the lowest common multiple of h and f.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1952327 - 1952327 - 47*d**3.\nAnswer: -47*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**10\/15120 + d**6\/60 + d**5\/2 + 32*d**2. Let u(s) be the third derivative of j(s). Find the first derivative of u(q) wrt q.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 50954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, 356, 537, 718, 899?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8743800 a multiple of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1075 + -0.11764. What is w rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t**3 + 2*t**2 - t. Let j be x(1). Suppose -595*i = -598*i + 15. Let g(k) = 3*k + 5. Let o(z) = 4*z + 5. Let h(n) = i*o(n) + j*g(n). What is h(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1471, -2, -21, 3, -4 in descending order.\nAnswer: 3, -2, -4, -21, -1471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - 0.6. Let x = -5 - s. Let j be (2\/6)\/(22\/(-12)). Sort j, x, -3\/2 in decreasing order.\nAnswer: j, -3\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 6:48 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.2. Let o be (33\/(-6))\/(2\/28). Let h = -849\/11 - o. Which is the second biggest value? (a) s (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1441 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 13*z - 6. Let l(i) = 9*i - 4 + 5 - 5. Determine -7*l(f) + 5*q(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 - 119. Let c(u) = u**3 - 7*u**2 + 7*u - 4. Let f be c(6). Solve 4*b - 3*h = g, 0 = 4*b + 2*h + f - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 4*m + 2, -3*i + 6 = -6*i - 3*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 571001 times 35?\nAnswer: 19985035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*-1*sqrt(156))\/((sqrt(144) - (-2*sqrt(144) + sqrt(144))*-2)\/sqrt(12)).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21351 - 15004. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)*-1*3)\/(((-2*sqrt(88))\/sqrt(4))\/sqrt(11)).\nAnswer: 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 1:06 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10 - -2) + -7 - 2) + 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*y**4 - 18*m*y**2 + 731*m + 21*y**4 wrt y.\nAnswer: 8*m*y**3 - 36*m*y + 84*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**2\/2 - 5*g - 5. Let y be r(-7). Suppose -y*h = h + 4*w - 121, -4 = -w. Calculate the remainder when h is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -23*f**3\/6 - f**2\/2 - f. Suppose -16*p = -25*p - 9. Calculate the smallest common multiple of n(p) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60936 < -61099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143.42 + 157.42. Which is the second smallest value? (a) 1 (b) t (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {c: 5, a: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**3 + 3*m + 7*m**3 + 2*m**2 - 2*m + (-3 + m**2 + 3)*(2*m + m + m) to the form c*m + s + l*m**3 + p*m**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 + 148*j - 635. What is k(41)?\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96699653951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5) + (-254)\/(-10). Let u be ((-5 - 10\/15) + 4)*(-54)\/15. Suppose -u*c = -i - 23. Let f(a) = a**3 - 7*a**2 - 9*a + 2. Determine f(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -899, -1807, -2721, -3647, -4591, -5559, -6557, -7591?\nAnswer: -8667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9 - -1.8. Let d = 6 + -5. Let z = 2 - 2. Which is the nearest to d? (a) 1 (b) z (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 7:36 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-14)\/(-385))\/((-6)\/15).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8*x = -8. What is the units digit of (2\/x)\/((-3)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010010110 + -11000001011?\nAnswer: -1011010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -9*l**3 - l**2 - 82. Let k(b) = -4*b. Determine k(i(z)).\nAnswer: 108*z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 0, -609\/443, 0.5 in decreasing order.\nAnswer: 71, 0.5, 0, -609\/443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3\/3 - 7782*u**2 - 140119*u\/3 + 54488 = 0.\nAnswer: -7, 1, 23352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and 11.49845?\nAnswer: 241.46745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 1 - j**3 - 1\/4*j**4 - 3*j + j**2. Let z be v(-4). Calculate the highest common divisor of 40 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244156 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 225*g + 16. Let w(h) = -h - 1. Calculate v(d) + 7*w(d).\nAnswer: 218*d + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f - 30*f = -2*a + 943, -4*a - 519 = -3*f. Which is smaller: f or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -32.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 52 = j - 34, j - 5*g - 90 = 0. Let a = j - 15. Calculate the least common multiple of a and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + ((-2*sqrt(12))\/sqrt(6) - (4 + sqrt(32)))**2).\nAnswer: -279 - 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c**2 + 3*c + 5. Let b(z) = -7*z**2 - 2*z - 4. Give 3*b(l) + 2*v(l).\nAnswer: -5*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 42991.38 millilitres?\nAnswer: 42.99138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 37. Suppose h - 29 = -3*m, 0*m - 60 = -g*h + 2*m. Let u = -351 + 350.9. Which is the nearest to -2\/9? (a) h (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - l + 5, -10*r + 7*r + 5 = 2*l. Which is the biggest value? (a) -1\/6 (b) -79 (c) r (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8485020821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 86*w**2 - 253*w + 345. Let i be z(83). Solve 19*m + 12 = i*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5371.944 - 5337. Let v = d - 35. Round v to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -6. Let n = 20.004 + -0.004. Let t = n - 18. Which is the third smallest value? (a) 0 (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p - 48. Let l be d(27). Suppose -l = -6*a + 6. Solve 12 = -w - a*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88422 to the power of 1\/2, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 + 2*l**2 + 1. What is p(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z*(((z*z**24*z)\/z)\/z*z)\/z*z*z)\/z))\/z*z*z**15*z**10\/z**(-2))**(-37) assuming z is positive.\nAnswer: z**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s - 32*s - 4 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 2*l**2 - l - 2334. Let j be x(0). Let v = j - -27977\/12. What is the common denominator of 57\/8 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 414605 and 4121305?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703 not equal to 1702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 + 10*f**4 - 34*f**3 + 52*f**2 - 37*f + 10.\nAnswer: -(f - 5)*(f - 2)*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1525743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {t: 1, y: 8, b: 8}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 813440 by -820.\nAnswer: -992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/7 - 18*i**2\/7 + 108*i\/7 + 432\/7.\nAnswer: -2*(i - 6)*(i + 3)*(i + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 6*s**2 - 5*s + 3. Let p be c(5). Suppose 8 = f - p*f. Let u(g) = g**2 + 4*g + 4. What are the prime factors of u(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Let b = -1 + n. Solve 0 = 3*v + b*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(98) - (sqrt(98) + 1 + 4) - -5*-1*sqrt(98))*-1*1)**2.\nAnswer: 350*sqrt(2) + 2479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45.028 + -0.028. Let j = g + -40. Which is the second biggest value? (a) j (b) 1 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.87738304 + 0.95408. Let o = f + -0.0767. Round o to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2354 times 3\nAnswer: -7062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1320 and 330.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a microsecond in nanoseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, 1289, -1.\nAnswer: -1, 143, 1289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 1:59 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l**2 + 4. Let p(z) = 2*z**2 - 2*z + 3. Let q be p(1). Let t(i) = -4*i**2 + 3. Calculate q*v(a) - 4*t(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k = -2*k + 4940. Let n = 485 + k. What is the greatest common divisor of n and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096\/45 - (-2)\/10 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**33*(z**(1\/4))**12 assuming z is positive.\nAnswer: z**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**2 + 1\/12*i**4 + 13*i - 1\/6*i**3 + 0 - 3\/20*i**5. Let h be t(-1). Sort 12\/11, h, -5, -0.3.\nAnswer: -5, -0.3, 12\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**6 + 4829348*a**5 + 314462323*a**2?\nAnswer: -600*a**3 + 289760880*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 18 + 0 + (-11 - -3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**3 - 3550*c**2 + 62080*c + 138400 = 0.\nAnswer: -2, 20, 692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (200 - 107 - 104) + (0 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 554, 1152, 1750, 2348, 2946?\n\"Answer: 598*y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -15*k + 1. Let u(v) = 30*v - 2. Let n(c) = -10*j(c) - 4*u(c). Let x be n(-1). Let g be 3 - (x\/(-6) + -2). Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 477*b**2 + 18*b**3 - 24*b**3 - 22*b**3 - 149*b**2 + 96*b.\nAnswer: -4*b*(b - 12)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103979*j**2 - 207726*j**2 - 7 + 7 + 103736*j**2 + 2*j.\nAnswer: -11*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4970\/(-2772) - (-2)\/11 and -91\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 5:20 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-303)*(-64)\/(5376\/84)\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 - 10*d - 6. Let a = 6 + -10. What is the remainder when 14 is divided by w(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(343) + 1 + 5 + 1)**2 + 4 + sqrt(343) + -2 + sqrt(343) + sqrt(343) + sqrt(343) + 2).\nAnswer: 378*sqrt(7) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-21)\/(-9) - 2). Let q be (9\/w - 2)*-6. Find the third derivative of m**q - 21*m**2 + m**3 + 27*m**2 wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1370 = -17*y - 452. Solve -c + y*k - 3 = 53*k, -3*k = 4*c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g + 10 + 7 - 16. What is y(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10372 to the nearest 100.\nAnswer: -10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*t = 21*t + 163 + 1205 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 28*l**2 + 55*l - 91. Let w be z(33). What is the greatest common divisor of 67 and w?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/g**(1\/4)*g)))**16)**(2\/25)*((g*(g\/(g*g*g*g*g\/(g**2\/g)*g*g*g*g))\/g)\/g)**(5\/2)\/(g**(2\/3))**10 assuming g is positive.\nAnswer: g**(-1832\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35926, 35920, 35914, 35908?\nAnswer: 35902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 p when four letters picked without replacement from {f: 5, k: 1, j: 3, p: 7}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 10. Let k be f(5). Suppose 0 = -5*h - 3*l + l + 119, -3*l - 109 = -k*h. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, -1\/7, 4.56?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 119576.1 kilograms?\nAnswer: 119576100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30930491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-2 + 0 + 3)*(4*h**3 + 8*h**3 - 4*h**3) + 6*h**3 - 3*h**3 - 2*h**3.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 2:53 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 - 34*n + 11. Is 11 a factor of c(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9*((-4)\/(-6) + -1). Suppose 0 = c + q*c - 4*r, 4*c + 4*r = 0. Suppose 2*t - 34 = -c*t. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 11*k - 5. Let p be h(11). Let z(y) = -6*y**3 - y**2 + y. Let j be z(1). Is p equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 1972.0832\nAnswer: 98.60416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 35. Let w = -1447 + 708. Let x = 744 + w. Calculate the least common multiple of x and t.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + b = 4, -4*j - 168*b + 8 = -165*b. What is v in 4\/7*v**j + 0*v + 0 - 2\/7*v**3 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-2 + 1)*-1. Suppose 7*p = 4*p - d. Is -40*(p + -2) + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (5 - 24) - -5 - (3 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = i, -2*l + 48 = 4*i + 12. Suppose l*d = d + 154. Calculate the highest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 194.52611 + 0.05389. Let w = 193 - i. Round w to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*s**2 + 71*s**5 - 18*s**6 - 71*s**5 wrt s?\nAnswer: -2160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5\/19 - 92*f**4\/19 + 656*f**3\/19 - 1888*f**2\/19 + 2464*f\/19 - 64.\nAnswer: 2*(f - 38)*(f - 2)**4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39650 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 o(u) = 445*u**3 - u**2 + 18*u - 36. What are the prime factors of o(2)?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 + 112 = -8*x. Suppose 2371 = -x*h + 7707. Is 92 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/10)\/(-6*(-8)\/(-93360))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6 - 94 = a, 82 = 3*p + a. What is the first derivative of -23 - p + 62 - 36 + 28*z**4 wrt z?\nAnswer: 112*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 79 (b) -1 (c) 20 (d) 1\/76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -970557332 divided by -242639333\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154115173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 3*c - 9, -5*c = -15*r + 10*r + 5127 - 5112 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6449251?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x. Factor m**4 - m**3 + x*m**3 + 2*m**3 - m + 0*m**3 - m**2.\nAnswer: m*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109293331\/348 + -314061. Find the common denominator of c and -39\/2204.\nAnswer: 6612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - -a84?\nAnswer: a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 11. Let z(k) = -k**2 - 6*k + 1. Suppose 0 = 4*f - 9*f. Let u(i) = f*i + 2*i - i. Determine w*u(n) - 2*z(n).\nAnswer: 2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5 + 9. Let s(r) = 163 - 2*r**c - 163. Let j(w) = -2*w + w - w. Calculate j(s(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3088, 6179, 9270, 12361, 15452, 18543?\nAnswer: 21634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*i + 0*i + 377 = 0, 2*o - 4*i + 172 = 0. Let g be o\/(-8) - (-2)\/4. Let t(d) = 6*d + 38. List the prime factors of t(g).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 10*f**3 - 33*f**2 - 63*f + 10. Determine h(-2).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -4\/187, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/102 and -161\/248169162.\nAnswer: 248169162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 258105851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7139, 13921, 20707, 27497, 34291?\n\"Answer: 2*q**2 + 6776*q + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 0, 1, -88?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -316096?\nAnswer: 126438.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7590 is divided by 381?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 204654055 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwwwplhlwqwqhwlwpl. Give prob of sequence qwhl.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3)*o*o**(-1\/2)*((o**(-2\/3)\/o)\/o)**(-1\/7))**(10\/17) assuming o is positive.\nAnswer: o**(15\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 4. Suppose o*h - 2 = -h. Solve -h*l + 1 = -k - 0, -3*l = -3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-248 + 215 - (-16 + 0)) + 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + t + t - 3, 3 = k + t. What is the fourth smallest value in 2\/7, -4\/3, k, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*r - 1004 = 40*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1113\/140 - 15\/6 and (-19)\/20 + 5\/(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 448*-2*309\/(-1236)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2877 and 822.\nAnswer: 5754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + -1 - (-459)\/9. Suppose u - 13 = 7*k. Which is smaller: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2926 by 22.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5*o + 5)*(-599*o - 32*o - 597*o - 403*o + 232*o) in the form r + f*o**2 + b*o and give f.\nAnswer: -6995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -125619.8 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*s + 153*s - 74*s + 93*s**2 - 50*s**2 - 42*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)\/v**(-1\/9)*(v**1*v)**2)\/(v**(-1\/7)*v**(-6\/5))**(-47) assuming v is positive.\nAnswer: v**(-20476\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v. Let w be x(-1). Let n(q) = -q - 8. Let p be n(w). Suppose p = -s + 2*s - 17. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212313 + 33231?\nAnswer: -113022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (756\/(-56))\/(2\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-29) - 29\/(1134509\/(-8759)). Put i, 2\/11, -4 in descending order.\nAnswer: 2\/11, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14242 (base 6) to base 12\nAnswer: -1382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -44*o**2 + 20*o**2 + 25*o**2. Let i(h) = -506*h. Determine i(j(d)).\nAnswer: -506*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x + 1. Suppose w = -5*f + 29, -2*f + 8 = -f - 2*w. Let a be z(f). Suppose 0 = q - v + 7 - a, -v + 51 = 2*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -824966976844826+-5\nAnswer: -824966976844831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1973953996?\nAnswer: 2, 7, 37, 1905361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66372 and 763278?\nAnswer: 1526556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7351039 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -1780, 0, -1, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-60 + 23 + 22 + -71 - (-14 - -1)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10339408 and 0.4.\nAnswer: 10339408.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1924 and 2437656?\nAnswer: 90193272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(12\/81))\/((-288)\/3744). Calculate the highest common factor of s and 624.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -15*x + 60. Let f be s(4). Let g(t) = t**2 - 25*t + 33. Let h be g(21). Sort h, f, 1 in descending order.\nAnswer: 1, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -15 + -4 + 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 0*m - m)*(-2*m + 3*m + 0*m) - 2134*m + 4267*m + 4 + 97*m**2 - 2133*m + (-2*m + 2*m - 2*m)*(-3*m + 0*m + 2*m).\nAnswer: 101*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 1 + 1 + (-2*w + 0 + 0)*(-1 - 1 + 1) - 2*w - 4*w + 0*w + 34 - 34 + 159*w - 61*w)*(18*w**2 + 14*w**2 - 11*w**2).\nAnswer: 1995*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 23. Let g be (-37)\/(-13) - (-4)\/26. Suppose 24 = -3*o - 3*h, -4*h + h = -g. Are o and f unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 14 + -9 - 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-3))\/((-3)\/432). Let c be k\/(-42) + 4\/(-14). Let m(a) = -3 - c*a**2 - a + 4*a + 5. Determine m(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 2:26 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**5\/20 - 2*o**4\/3 + o**3 - 7*o**2\/2 + 6*o. Give i(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93009.\nAnswer: 3, 7, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 c when three letters picked without replacement from acyuffuuucwy.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1148952 to the nearest integer?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.704858583 to two dps.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 551\/58 - ((-10)\/4)\/5. Let g(h) be the first derivative of -u - 2\/3*h**2 + 4\/9*h**3 - 8\/3*h. Factor g(q).\nAnswer: 4*(q - 2)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 457, 699, 941, 1183, 1425?\n\"Answer: 242*p + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13008 + 13016. Solve f*k = 23*k + 30 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 - 4) + -2 - (353 - 354).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 3*r + 20*r)*(1 - 2 + 3)*(-3*r - r + 5*r + (4*r - r - r)*(3 - 2 + 1)).\nAnswer: 220*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 237 (base 10) to base 12\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -2*r**3\/3 - 9*r**2\/2 - r - 3. Let x(d) = d**2 + 4*d. Let m(w) = 4*q(w) + 9*x(w). What is the derivative of m(a) wrt a?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(450) + (sqrt(450) - (sqrt(450) + -2)) + 2)**2 + (2*(4 + 2*sqrt(72) + -2))**2.\nAnswer: 312*sqrt(2) + 1631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*r + 16 = 53*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = y - 20, -3*g + y = 2*g - 10. Suppose -6*p + 3*p - 3*r = -261, -g*p - r = -255. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -0.5, -1\/5, -85, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvv. What is prob of picking 2 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -498, -480, -450, -402, -330?\n\"Answer: p**3 + 11*p - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*160.1.\nAnswer: -320.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5382 and 25506.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1677456 (base 10) to base 2.\nAnswer: 110011001100010010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/33, 0.39, -0.4, -46?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + -3*(sqrt(80) + 3 + sqrt(80)) + 4*(2 + sqrt(80)) + 4)**2.\nAnswer: -1620 - 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - s. Let a(y) = -14*y**2 + 7*y - 78. Determine -a(b) - 8*q(b).\nAnswer: -2*b**2 + b + 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9900 and 10922175?\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j**2 + 9. Let y(k) = 4*k**2 - 8. What is 3*x(w) + 4*y(w)?\nAnswer: w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*x**3 - 45626670*c**2*x - 2*c*x**3 + 27*c*x**2 + 9*x**3 - 71*x**2 + 1 wrt c.\nAnswer: -2*x**3 - 91253340*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*d**2 + 176*d**2 + 17*d**2)*(-3*d**2 - 1 + 2*d**2 + 0) to a*d**2 + j*d**3 + f + h*d**4 + n*d and give a.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.2306 + 0.2306. Which is the closest to 0? (a) i (b) 5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 3\/5 (c) -4.7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433722694.\nAnswer: 2, 443, 489529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m + 2*m**2)*(-165 + 435 + 445 + 1277)*(2*m**3 + 0*m**3 - 3*m**3 + 1).\nAnswer: -3984*m**5 + 3984*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 28*z**2 + 2*z + 4. Calculate the smallest common multiple of 12 and g(-3).\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 350*c**2\/3 - 968*c\/3 + 488\/3.\nAnswer: 2*(c - 2)*(c + 61)*(3*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1974.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -43641534?\nAnswer: 43641542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/4 and -31\/7210328.\nAnswer: 7210328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*i - 43*i - 38*i + 2106. Suppose -3*w + 5*w - 54 = 0. Calculate the highest common divisor of i and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8508771*m - 62331631.\nAnswer: 8508771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10020011200 (base 3) to base 9\nAnswer: 106150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 - -117. Suppose 0 = -3*u + u + a. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 - 96*a. Let p be i(32). Suppose -4*b - 4*l = -24, 0 = 5*b - 4*b - 5*l + 24. Let t be 680\/225 - (b + 4\/2). Is p greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 168 = 10*t. What is the least common multiple of 12 and t?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6086 is divided by 37.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -4 (c) 111730 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.34 times 8\nAnswer: 10.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s**2 - 5*s + 1. Let j(w) be the third derivative of 3*w**5\/20 + w**4\/6 - w**3\/6 + 380*w**2 + 5*w. Give 6*j(u) + 5*v(u).\nAnswer: 4*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swwh when four letters picked without replacement from {w: 3, q: 1, s: 1, h: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**7\/5460 + u**6\/1170 - u**5\/780 - 4*u**3\/3 - 1. Let z(m) be the third derivative of b(m). Let z(i) = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -843*r**4 - 22*r**2 + 410*r**4 + 423*r**4 + 6*r - 38*r**3 = 0?\nAnswer: -3, -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 161930 and 10570.\nAnswer: 171160010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111011000 (base 2) in base 3?\nAnswer: -2001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, -5, -135.\nAnswer: -135, -6, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-300)*-170*-20)\/(28\/(-14)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/3 and 46\/51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 + 17 - (-14 - -5)) + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 137\/(1\/(-4 + 3)). Let u = -341 - r. Is 20 a factor of (-8)\/(-6)*u\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1934?\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 1. Let k(a) = -a**3 + 6. Let d be k(0). Let y(v) = -3*v + 5. Let s = -2 - -1. What is d*i(q) + s*y(q)?\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(28)\/sqrt(4))**2 + -4 - ((sqrt(847)*1 + sqrt(847) - sqrt(847)) + sqrt(847) + 0)**2.\nAnswer: -3383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 274 = 4*c + 246, -14 = 2*a - 6*c for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4508\/9 or 502?\nAnswer: 4508\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x - 11. Let p(f) = -f + 1. Let v(m) = 6*p(m) + u(m). Let r be v(6). Suppose 13 - r = 2*s. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98759 (base 12) to base 10.\nAnswer: 201525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(56\/(-40))*(-2)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {n: 1, e: 3, h: 5, r: 7, q: 2}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(832)*1*2 - -6*(sqrt(832) - (sqrt(832) + -1)))**2 + (-5*(sqrt(832) - (-3 + sqrt(832)) - sqrt(832)) - -2*sqrt(832)*-4)**2.\nAnswer: 912*sqrt(13) + 11082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1944) + (sqrt(1944) - sqrt(1944)*-2) - sqrt(1944))\/((sqrt(36)*2)\/sqrt(9)))\/(-2*(sqrt(350) + (sqrt(350)*1 - sqrt(350)))\/sqrt(7)).\nAnswer: -27*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.41 - 237.41. Let i = j + 235. What is the smallest value in 7, -5, i, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.217 (b) -3 (c) 0.05 (d) 3\/4 (e) 0.183\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 8 = 67*x - 65*x, -x + 13 = -5*r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1895c (base 15) to base 7.\nAnswer: -451320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x - 5 = 0. Let b(u) = 7*u**2 + u + 4. Let j be b(8). Let q = j + -11498\/25. Which is smaller: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) 0.1 (c) -1 (d) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 802177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -700905056857.\nAnswer: -700905056852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/31 + 2953\/124. Find the common denominator of i and 23\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*u**3\/5 - 53*u**2\/5 - 103*u\/5 + 2\/5.\nAnswer: (u - 2)*(u + 1)*(52*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from {s: 1, n: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eteztliy. Give prob of picking 1 i and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 63\/(-12)*12\/18 + 96\/32. Let f = 13 + -14.6. Let g = f - -2. Which is the closest to g? (a) -0.1 (b) t (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 406 and 66?\nAnswer: 13398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2 = 2. Let j = s - -1. Solve -n = -j*n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*sqrt(176))**2.\nAnswer: 2818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 7*t**5\/120 + t**3\/6 - t**2 - 3*t + 4. Let s(u) be the second derivative of k(u). Let a(w) = -3*w**2. What is s(a(h))?\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005002808 rounded to seven dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116*j**3 + 3*j + 85.\nAnswer: -696*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2058, -8300, -18768, -33516, -52598, -76068, -103980?\n\"Answer: -9*f**3 - 2059*f**2 - 2*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72279897617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3622 - -3934. Calculate the highest common divisor of y and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 13*c - 10. Let w be v(9). List the prime factors of (-522)\/(-13) - 4\/w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-636)\/(-106) + (-23)\/4. What is the closest to -1 in 3\/4, f, -0.5, 16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1222112?\nAnswer: 1222111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 - 112.3. Suppose 0 = -4*f - 0 + 4. What is the smallest value in -3\/4, t, f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2584 times -1.23\nAnswer: -1.547832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 85540021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002999641688 rounded to six decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, -2, 88350?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-51)\/(-6)) + (-3096)\/306?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31912 = 1543*h + 11292 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + (sqrt(1584) - -1*sqrt(1584) - sqrt(1584)) + (sqrt(66) + -5*sqrt(66)*2)\/(2*sqrt(384)))**2.\nAnswer: 549*sqrt(11)\/8 + 370683\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 = 0, 4*o + 12 + 0 = 2*f. Let p be 0*(-8 + 4155\/525 + 4\/14). Factor p*v - 3\/7*v**f + 3\/7.\nAnswer: -3*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 289545, 2\/7.\nAnswer: 0.1, 2\/7, 289545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 - 18 - -1*10. Solve 0 = z*b - 12*b - 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -110246?\nAnswer: 110242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 26426*y + 365. Let a(k) = 734*k + 10. Let f(p) = -73*a(p) + 2*o(p). Let g(s) = -s. Calculate f(g(w)).\nAnswer: 730*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 234551?\nAnswer: 234550.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045540381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/280592 and -81\/76?\nAnswer: 280592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55660 + 0.5.\nAnswer: -55659.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4465395.\nAnswer: 3, 5, 11, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o + 15*o - 524*o = 15660 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**4 + 16*z**3 - 17*z**2 - 16*z + 21. Let o(i) = 0*i - 8*i**2 - 8*i + 8 + 8*i**3 + 2. Let w(m) = -4*d(m) + 10*o(m). Factor w(f).\nAnswer: -4*(f - 2)**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 12*x**2 + 3*x + 10. Let s be u(-12). Let d = -9 + s. Let v be 1\/((d\/40)\/(-7)). What is the greatest common factor of v and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 14. Suppose c*v = 23*v + 82. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25394304 and 14976?\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-5 + 2 - -1). Let z = -8 - -10. Suppose -y + h = -z. Calculate the least common multiple of y and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.21919 and -3858030.\nAnswer: -3858031.21919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-6) - (-4 - 165\/10). Calculate the greatest common factor of v and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1282808.\nAnswer: 2, 41, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**2 + 10*b. Let x(n) = -7*n**2 + 9. Let l(f) = 3*f**2 - 4. Let a(v) = -9*l(v) - 4*x(v). Calculate d(a(k)).\nAnswer: -3*k**4 + 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 43*w + 720. Let t be h(-47). Solve t = 2*c + 524 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37728*h**3 - 75556*h**3 + 38158*h**3.\nAnswer: 330*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 207799 greater than 207610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-722 - 531*k - 531*k + 1061*k)*(k**3 + 0*k**3 - 2*k**3).\nAnswer: k**4 + 722*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/8772 and -47\/130866.\nAnswer: 11254476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 623 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2420 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -2\/13 (c) 118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**4\/6 + 1367*w**3\/6 + 156733*w**2\/2 + 928131*w\/2 + 693036 = 0.\nAnswer: -713, -648, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5382)\/161460*5\/(-6).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 367567 and 367564 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 357731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 6:45 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -952911*w + 14293663. What is k(15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3828*-744 - 4\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vivivv. What is prob of sequence viv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/5 - 846*z**2\/5 + 11284*z\/5 + 847704\/5 = 0. Calculate z.\nAnswer: -858, -26, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-36)\/x*x*x)\/x*x**(-1\/48)*x**(-37)\/x*(x*x\/x**(6\/23)*x)\/x)**(-3\/25) assuming x is positive.\nAnswer: x**(79799\/9200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*b + 89*b - 24*b - 21 + 4*b**3 to the form j*b**3 + p*b**2 + l + z*b and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27*2\/18 - (750\/(-96) - -5)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1366 or -45068\/33?\nAnswer: -45068\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 977 - 802. Find the second derivative of -3 - 2*f**2 + m*f + 418*f**4 - 415*f**4 + 3 wrt f.\nAnswer: 36*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 15*l + 33. What is s(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 b, and 1 v when three letters picked without replacement from {b: 2, i: 2, w: 1, f: 6, v: 4}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -244053168815 - 11?\nAnswer: -244053168826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3247789.28 rounded to the nearest 10000?\nAnswer: -3250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47639, -47691, -47747, -47807, -47871?\nAnswer: -47939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c - 3*a = -5, 0 = -4*c - 4*a. Is 20 a factor of 8*c\/3*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-nine quarters of a kilogram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, r: 3}. Give prob of sequence rr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 - 0.72. Let b = 108.02 - 108. Let i = b + d. What is the second smallest value in -0.3, -0.8, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5 or -9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-one fifths of a millimeter?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*3*(-4)\/(-24). Let k be (1 - n)\/((-1)\/4). Is 7 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 2*r + 10, b + 29668*r = 29666*r + 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 852 + -850 + 1 + (2 - -29)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -16. Suppose 7*k - f = 3*k - 98, a*f - 15 = k. Let t = -14 - k. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-2 - 2)\/(-8)). What is the third derivative of 6*n**2 + 62*n**6 - 103*n**p + 0*n**2 + 54*n**6 wrt n?\nAnswer: 1560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 + 4*m**5 - 2*m**4 - 9000 + 81*m**5 + 9000 + (-1 - 2*m**2 + 1)*(3*m**3 - m**3 - 5*m**3) + m**5 + m - m.\nAnswer: 92*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 + -9.6.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/21)\/(b**(-3)\/b*b))\/(b\/(b\/(b*b\/b**(2\/3))))**(1\/4) assuming b is positive.\nAnswer: b**(58\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 782348\/502857 + -14\/55873. Let q + 4\/3*r - 2\/9*r**2 = 0. What is r?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/82 and -3\/2298616?\nAnswer: 94243256","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 24 = -7*u. Suppose u = 4*k, -2*w - 8 = -k - 4. Let z be (w + 2)*170\/2. Round z to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 539811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*-1 + -1 + 2 + 2)*-2 - (5 + 6*(sqrt(288) + 0) + -3 + -1))**2.\nAnswer: 672*sqrt(2) + 4657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 486274 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -10*i + 40. Let f be p(-2). Find the second derivative of -2*b - 10*b - 10*b + 49*b**2 + f*b**2 wrt b.\nAnswer: 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20802 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -122224 (base 7) to base 9\nAnswer: -33661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3 + 6 + 8*b**3 - 12 wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - w**2 + w - 9. Let z be (-2)\/8 - (-3)\/12. What is h(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033166929 to five dps.\nAnswer: 0.00332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 13*k + 3. Determine y(-9).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24 - 2)\/((-33)\/(-18) + -2). What is the greatest common factor of k and 144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*t + 31*s - 26*s, 0 = -t - 5*s + 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81978 and 5255?\nAnswer: 409890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/57)*a*a*a)\/a*a*a**(-2\/9))\/(((a\/a**24*a)\/a)\/(a*a\/(a*a**21))) assuming a is positive.\nAnswer: a**(1153\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 5:31 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537*p = 623*p - 1634 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 7*o + 9. Let n be r(6). Find the second derivative of -27 - n*d**2 - d + 27 wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v. Let n = -1 - -6. Suppose -2*j = -n + 1. Let u(w) = w - w - j*w. Give u(t(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57041, 57040, 57039?\nAnswer: 57038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 4, f: 3, w: 1, n: 2}. Give prob of sequence tfnn.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c7e (base 15) to base 11.\nAnswer: -2133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/10*50765\/1562.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -302\/5 + 60. Let i = 411 - 411. Let q be 2 - 2 - 0 - 0. Which is the nearest to q? (a) m (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 416 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287082 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.41 - 112.59. Let p = l + 114.959. Round p to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2 - 104*a + 90. Let q be m(26). What is the greatest common factor of 28980 and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbfppepppo. Give prob of picking 1 p and 1 o.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a. Let x be k(3). Let v be x\/(-4) + (-2)\/8. Suppose -4*q + 15 + 5 = 0. Solve q*s + o - 2 = 23, 25 = v*s + 3*o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**3 + 3*n**2 - 7*n. Let j(c) = 6*c**3 - 5*c**2 + 11*c. What is -5*j(l) - 8*v(l)?\nAnswer: 2*l**3 + l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 - 54. Is 3 a factor of r\/4 - (-27 + -3 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 741401922?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -69425*t - 525. Let y(x) = 798*x + 6. What is 10*d(i) + 875*y(i)?\nAnswer: 4000*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.2 + 21.2. Let j = 9 - i. Let d = j + 9. Put -3\/7, d, 5 in ascending order.\nAnswer: -3\/7, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-22\/5)\/m))\/(m\/(m*m**(1\/20)\/m)) assuming m is positive.\nAnswer: m**(109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 160\/24 + (-2)\/3. Let z = 5 + -3. Let i = s - z. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 23*w = 9*w - 171527. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2252, -2243, -2228, -2207, -2180, -2147, -2108?\nAnswer: -2063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8964\/144 + -66)\/((-21)\/(-8)) + 3.\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 23, -241, -6 in descending order.\nAnswer: 23, -6, -29, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 21 = 5*s. Suppose -63 = -2*b - s*b. Suppose -3*z + 3*g = -39, -3*g - 31 = -5*z + 32. Calculate the remainder when z is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 75\/7 of a week?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/20)\/((5\/(-4))\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -6*s**3 - 13923*s**2 - 76395*s = 0.\nAnswer: -2315, -11\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 25*z + 627. Determine v(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 431*q - 4969. What is l(12)?\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(2\/7)\/j))**(-1\/2)\/(j\/(j**(-1\/4)\/j*j)*j*j**(-1\/4)*j*j))\/((j*j**(-1))**(-15\/8))**(2\/13) assuming j is positive.\nAnswer: j**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 g when two letters picked without replacement from sssssssssssssggssss.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.8 at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11695\/7 + 1674. Find the common denominator of 31\/24 and n.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**5 - 267*i**4 + 88992*i**3 + 13851648*i**2 + 528187392*i = 0.\nAnswer: -96, 0, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.72 - 0.72. Let o = 3445 - 10241\/3. Let t = 31 - o. Which is the second biggest value? (a) -0.5 (b) y (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 578 + -583. Let j be (-1)\/1 - 77\/(-55). What is the closest to j in 0, 1\/3, i, -6\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j - 1 + 2*j - 3*j)*(-819 + 702 - 1019) in the form f*j + b and give f.\nAnswer: -3408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4)*(-16)\/6 + 4. Which is the nearest to 0? (a) 2 (b) 0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -2*n + 4*n. Let v be (-870*15\/135)\/(-1 + 3). Do v and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 b when three letters picked without replacement from vvbvcbbbuvc.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3\/j)\/j*j*j**(-2)*j*(j**0)**(-10\/7) assuming j is positive.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0.1, -2.8, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 12) to base 4\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3)**(-2\/19)*(w**(-26)\/w)\/w*w**19*w assuming w is positive.\nAnswer: w**(-158\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*1 + (2851\/(-451) - (-862)\/17671)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 times -99?\nAnswer: 30096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29861 - 29861 - 382*t)*(73*t - 73*t + 12*t**2 - 1)*(t**2 - t**2 + 2*t**2).\nAnswer: -9168*t**5 + 764*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*a - l - 218, 202 = -4*a + 5*l. Let k = -56 - a. What are the prime factors of (53\/k)\/(3\/(-9))?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**5 - 90298*n**4\/15 + 54854*n**3\/3 - 93474*n**2\/5 + 99526*n\/15 - 3016\/15 = 0.\nAnswer: -1508, 1\/30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldbdpb. Give prob of picking 1 d and 1 l.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, -0.5, -0.03695?\nAnswer: -0.03695","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22448? (a) -5 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + h + 1. Let y = 14387 + -14386. Let a(f) = -4*f**2 + 2*f + 6. Calculate y*a(r) - 4*m(r).\nAnswer: -8*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40305193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -21*l - 252. Suppose 0 = -47*r + 69 - 411 - 222. Calculate m(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 4*m**2 + 3*m + 1. Let j be c(-5). Let b = j + -77\/5. Let u(t) = -t**2 - 761*t - 42056. Let n be u(-60). Put -2\/7, n, b in increasing order.\nAnswer: b, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/4 and -41\/428?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2 + 2570*a - 330245 = 0. What is a?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 9. Let h be i(-8). Let x(q) = -4*q - 2 - h - 9*q + 2*q - q**3 - 10*q**2. What are the prime factors of x(-9)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19653 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 829 - 785. Which is smaller: o or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49570793 or 49570792?\nAnswer: 49570792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 258662 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-40) - (-24)\/(-60). Which is the third smallest value? (a) 3\/2 (b) q (c) -0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 3*r**2 + 18*r - 8. Let z be m(6). Is (-29843)\/(-44) + (-6)\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14136 and 28234.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*r = 152*r - 27. Calculate the least common multiple of 3 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bybywfb. What is prob of sequence wbfb?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22298463 - 22298948.00628. Let l = 485 + p. Round l to four decimal places.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/55311555 and -17\/312.\nAnswer: 442492440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 6:05 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 3, -23, -1 in ascending order.\nAnswer: -118, -23, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-40)\/16)\/((-1)\/(-2)) + 9. Let p(s) be the third derivative of 0 - 1\/3*s**3 - 5\/6*s**t + 0*s - s**2. What is the first derivative of p(d) wrt d?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 15 = -k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 42586.\nAnswer: -4\/21293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}