diff --git "a/data/dm_maths/full_data_1/11067_11255.jsonl" "b/data/dm_maths/full_data_1/11067_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11067_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 13, what is 90c7b2 - -12?\nAnswer: 90c7c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)*1)\/sqrt(2) + (-4*sqrt(180))**2.\nAnswer: sqrt(5) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n. Let s be 12\/(-16) - (-630)\/72. Sort n, s, 1 in increasing order.\nAnswer: n, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**7\/70 - 7*k**5\/60 - k**4\/4 - k**3\/3 + k**2 + k. Find the second derivative of j(a) wrt a.\nAnswer: -36*a**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7499 - a2?\nAnswer: 73a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9850073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 308, 347, 412, 515, 668?\n\"Answer: 2*b**3 + b**2 + 22*b + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -911124, -3644528, -8200266, -14578392, -22778960, -32802024?\nAnswer: -44647638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*j - 32054 = 158*j. Is j a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-3.8.\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**4 - 4*j**4 + 24*j**3 - 24*j**3 + 6 wrt j?\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54828.1666 to the nearest 10.\nAnswer: 54830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z + 56. Suppose 0 = 3*k - 4*a + 58, 27 + 25 = -4*k - a. Let y be g(k). Solve -2*q = -v + 2 - 5, -5*q - 4*v - 25 = y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s + 0*s)*(-18*s**2 + 44 - 44).\nAnswer: -36*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 692048 and 88?\nAnswer: 7612528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -317 and 616835793.\nAnswer: 616835476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 2)*(-3)\/(-14). Let c be -3*(9\/(-15) - (-104)\/40). Let l be (0 - c)*8\/(-36). What is the third biggest value in 0, l, 0.1, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2 + 8. Let q be ((-1)\/(3 + -2))\/1. Calculate the lowest common multiple of 4 and (m\/(-6))\/(q\/33).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 14 - 2 + 31*n + 1.\nAnswer: 31*n - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4\/2 + 9315*l**3\/2 + 4843575*l**2 + 1710701250*l + 24586357500.\nAnswer: 3*(l + 15)*(l + 1030)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 12*p - 9. Let l be q(13). Suppose 3*z = -c + 132, -1 = l*z + 15. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 + 4*n - 6. Let a be u(-4). Let p = 54 + a. Solve -v = -p*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525\/126 - 15\/15.\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 4:07 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**2 - 10795*f + 6887634 = 0?\nAnswer: 681, 10114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101011 (base 2) to base 16.\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - 145729*l - 437186\/3.\nAnswer: -(l + 1)*(l + 437186)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, 1\/9, -5, -0.3, 0.4 in ascending order.\nAnswer: -5, -0.3, 1\/9, 0.4, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 175 - 124 = 4*r, 5*r = -b - 374. Let w be 2\/(-5) + (-26205)\/r. Suppose 0 = -4*y + u + w, 0 = -y + u - 0*u + 88. What are the prime factors of y?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((17\/(-425))\/(3\/15)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17721?\nAnswer: 3, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2482237*m - 26*m**3 + 2482239*m + 2*m**4 - 1658 - 51*m**3 wrt m?\nAnswer: 24*m**2 - 462*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1342335*b**3 - 1665687 wrt b?\nAnswer: 4027005*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 1. Let k = 745 - 760. Let h be (-1)\/5 + (-3)\/(-9). Which is the third smallest value? (a) k (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 + 47*l + 28. Calculate w(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 246\/(-15)*25\/(-5). Let m be (-2)\/(3 + (-244)\/u) + 2. What is the common denominator of (3\/2)\/(36\/m) and -19\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -254, -508, -768, -1034?\n\"Answer: -3*w**2 - 245*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 22*i + 28. Let j be n(10). Suppose -j = -3*l + 5*l. Let q = l - -244. Does 30 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5217.385 + -5387.9. Let l = o - -170. What is l rounded to two dps?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(152) - sqrt(152)*-1) + (sqrt(152) - 1*(-1*sqrt(152) - sqrt(152))) + sqrt(152))\/(-4*sqrt(288)*-2) + -5.\nAnswer: -5 - sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**3 + 9*l**2\/2 + 6*l + 10. Factor t(x).\nAnswer: 3*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**4 + 17*o**3 + 637*o.\nAnswer: -36*o**2 + 102*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9330, -18712, -28148, -37638, -47182, -56780?\n\"Answer: -27*b**2 - 9301*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3525 and 7275.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6156730700 to the nearest one million.\nAnswer: -6157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + g - 2*g)*(3 - 3 - 4) - 4*g + 2*g + 0*g in the form n + f*g and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 2*t**2 - t + 1. Let n(j) = -8*j**3 - 14*j**2 + 18*j - 7. Calculate 6*d(y) + n(y).\nAnswer: -2*y**3 - 2*y**2 + 12*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -15 - -21 - 51 - -17 - (4 + -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3900)\/(-120))\/((-20)\/(-12))*2?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2)**(-22\/9))**32*(m\/((m*m*m*m**(-1\/4)*m)\/m))**(-13)*(m*(m\/(m*m**(-2\/5))*m)\/m)\/(m\/(m**(-1)*m*m)) assuming m is positive.\nAnswer: m**(-23813\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 10*p + 22. Let q be v(-3). Find the second derivative of -q + 4 - 21*w - 2 - 9*w**2 + 15*w**2 wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -410 divided by 431\nAnswer: -410\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -315276*s**3 - 208*s**2 - 416*s + 365612. Let o(i) = 7597*i**3 + 5*i**2 + 10*i - 8810. Let d(t) = -5*h(t) - 208*o(t). Differentiate d(g) wrt g.\nAnswer: -11388*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/335 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6}. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 4*t - 260*k + 259*k = 3, -2*k - 314 = -4*t for t.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**5*q**(-3)*q*(q*((q*q**(-5))\/q)\/q)\/q*q**1*q*(((q**0\/q)\/q)**32)**28 assuming q is positive.\nAnswer: q**(-1793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1780890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - 0.04. Let j = 72 + -22. Let a = 348\/7 - j. What is the nearest to f in a, 2\/3, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2872737 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1, 5, 7\/6, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 3*a + 15. Let t(s) be the first derivative of s**4\/8 + 7*s**3\/6 + 10*s**2 - 10. Let r(x) be the second derivative of t(x). What is r(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4417836 < -4417835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 326784.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 15*z**2 - z + 0*z**2.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2062778 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10050 or -10051?\nAnswer: -10050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 10. Let u be o*16\/18*-12. Suppose -4*i = -u - 92. What is the remainder when i is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -1 - (-12 - -3). What are the prime factors of (-1143)\/(-7) + w\/(-35)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 26, 63, 124, 215, 342, 511, 728?\nAnswer: 999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 61. Let p be g(31). Let c = 6 + -9. Are p and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-114)\/(-4) + 5\/(-2) + 4. Solve -4*v = 5*z + v - x, -4*z - v = -21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 816 - 28?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 883545957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**5 - 3*z**5 - z**5)*(-223 - 177 + 17 - 204).\nAnswer: 1761*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 402, 594, 776, 942, 1086, 1202, 1284?\nAnswer: 1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/3, -4, -3\/8, 679?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 275 and 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5173328 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2852 - 2912. Which is the smallest value? (a) p (b) 3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-c + c + c)*(2 - 2 + 2) + (20 + 15 - 27)*(11 + 2*c - 11))*(0*c + 0*c - c**2).\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31173573, 62347139, 93520705, 124694271, 155867837?\n\"Answer: 31173566*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 20.8 (c) -1002 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -61*y + 1056. Is 7 a factor of k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*v + 19 = -5*v, v = 3*m - 20. Let w(i) be the second derivative of -4*i**3 + 1\/4*i**4 + m*i + 24*i**2 + 0. Find h, given that w(h) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -6. Let j be 10\/32*(-2)\/(-15) + 2\/6. Which is the closest to -0.1? (a) j (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrr. What is prob of sequence rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*d - 126*d + 46*d + 37*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/364556 and 97\/12?\nAnswer: 1093668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -90*f*i*k - f*i + 17*f*k*v - 3747*f*v - 1004*i*k*v - 5384*i*k + 3*k*v with respect to f.\nAnswer: -90*i*k - i + 17*k*v - 3747*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 - 88 - (-14 + (2 - -16))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 7*r - 20. Suppose o = -r*o + o. Suppose -2*h - 2*h - 2*c + 20 = o, -h = 3*c - 15. What is the nearest to -0.2 in h, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -117336 and 35?\nAnswer: -4106760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 184*d**3 - 4 - 7*d + 430*d**3 - 167*d**3 wrt d?\nAnswer: 474*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - d + 54 = -47, 5*m + 2*d = 502. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 - -52. Let z = s - -35. Suppose 0 = 10*d + 17 + z. Let p(x) = -5*x - 5. Calculate p(d).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6465, 12906, 19191, 25242, 30981?\n\"Answer: -13*c**3 + 6532*c - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95\/4 - 245\/12. Calculate the common denominator of (453\/(-9))\/(16\/4) and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13.51 in 2, 521, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y**3 - 1151*y**2 + 455*y + 6085. Give x(164).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v - 6. Suppose 89 - 25 = -2*z. Let a = z - -49. List the prime factors of l(a).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*i = -38*i - 30. Calculate the highest common divisor of 9 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**2 - d - 14. Let m(j) = -9*j**2 - 2*j - 27. Let z(v) = 4*m(v) - 7*o(v). Let y be z(-4). Which is smaller: -24 or y?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y + 21. Let u = -4 - y. Let l = u - -32. What is the remainder when l is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 - 4 = 0. Let s be (1\/(-2))\/(p\/2). Let i be ((-4)\/70)\/((-12)\/60). Is i < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 391746896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 255275, 255565, 256049, 256727, 257599?\n\"Answer: 97*t**2 - t + 255179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10890002, 21780002, 32670002, 43560002, 54450002?\nAnswer: 65340002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-47)\/141)\/((-1)\/4))\/(28\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331736312?\nAnswer: 2, 6359, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-6) - -1)*3. Find the second derivative of -3 + 9*w**5 - 3 + 6 + j*w wrt w.\nAnswer: 180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -0.242161?\nAnswer: 0.484322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*a - 10*a**2 + 25*a)*(-1 - a**3 + 1) - 2*a**3 + 2*a**3 + 2*a**5 + (-35*a**2 + 121*a**2 - a + 75*a**2)*(2*a**3 - a**3 + a**3).\nAnswer: 334*a**5 - 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 140304?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5885147.\nAnswer: 5885147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 325610 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 - 6*t**2 - 9*t + 1. Let s(m) = 5*m**3 + 6*m**2 + 10*m - 2. Let l(p) = -4*r(p) - 3*s(p). Let h = 86 + -90. Determine l(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + -157)*(0 - 3\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 207.64929, 4\/3?\nAnswer: 207.64929","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/82434 and -7\/48973290.\nAnswer: 538706190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, l: 1, v: 14}. What is prob of picking 1 r and 1 v?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068507660 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 - 63. Suppose 0*f = 3*f - w. Let n = f + 1. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 144*c**2 - 140*c - 218. Calculate the remainder when 1680 is divided by b(143).\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -110*n*s**3 + 53349*n*s**2 + 11455673*n wrt s?\nAnswer: -330*n*s**2 + 106698*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -22*t + 2. Let f(i) = 4*i. Determine d(y) + 6*f(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) 1\/20 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**6\/b)\/b*b)\/b**2*b**(2\/15)*(b\/b**(-6))\/b*b**1\/b**6*(b\/b**0)\/(b\/(b**2*b)) assuming b is positive.\nAnswer: b**(107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2026422 and 134724.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.20338 rounded to 0 decimal places?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -212*r**2 - 3*r - 25.\nAnswer: -424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, i: 17}. Give prob of sequence iiyi.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + w + w - 100 = 0, -s - 2*w = -28. Let d(n) = -5*n. Calculate the remainder when d(-7) is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -5*m**5 - 3480*m**4 - 44485*m**3 - 60670*m**2 + 545760*m - 437120 = 0.\nAnswer: -683, -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*s - 125986 + 125611 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 0)*(37 - 55 - 50)*(-3*a + 4*a - 3*a)*(3 - 2*a - 3).\nAnswer: -1360*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15273 + -15094. Suppose 6*l - 3*l = 135. What is the remainder when v is divided by l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1957.944 rounded to 0 decimal places?\nAnswer: -1958","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-28) - 930\/(-35). Suppose 21*t + 1455 = o*t. List the prime factors of t.\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 -2, 3, -4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**3\/6 - 2*d**2 - 60*d + 63. Let t(p) be the first derivative of v(p). What is t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - -2.7. Let f = -50.58 - -0.58. Let z = -51 - f. Which is the closest to z? (a) n (b) 2\/9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113110 + -2?\nAnswer: 113102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 35*m**4\/12 - m**3\/2 - m**2 - 9*m. Let h be q(-2). Let o = 4 + 12. What is the highest common factor of h and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1416 - 2114. Let x = c - -701. What is the third biggest value in -0.4, 0, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 212454?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7545832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 16\/96327?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -118 - -213. Suppose 0 = 3*k - 5*b - 97, 0 = -3*k + 7*b - 3*b + x. What is the second smallest value in k, 2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + i + 2. Let v(p) = -10*p**2 - 4*p - 10. Let u(r) = -16*m(r) - 3*v(r). Suppose u(n) = 0. Calculate n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3840)\/sqrt(3))\/sqrt(4).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -4) + -42 - (-23 - (-26 - -4))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -1. Let q = g + 52. What is the remainder when q is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 971018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*q = -5*c - 57 - 33, -2*q - 2*c - 137 = -3*c - 135 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.25 + 0.25. Which is the smallest value? (a) -0.4 (b) r (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, -23, 135?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 - 37*o\/3 + 70\/3.\nAnswer: (o - 35)*(o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 2*j + 10 = 0. Suppose j*k - 2 - 2 = 0. What is the units digit of k + 23 + (2 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30739, -61475, -92211, -122947, -153683?\n\"Answer: -30736*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1403 and 671?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1188\/(-8)*(5 + -85)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l + 1930 = 80*l + 83*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z - 14. Let x(o) = o - 2. Let l(y) = 2*c(y) - 22*x(y). List the prime factors of l(-4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 - 102. Suppose 735 = 8*f - 7*f - t*c, 2*f - 1473 = 3*c. Calculate the remainder when f is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11746.\nAnswer: 2, 7, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzp. What is prob of sequence zp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, z: 4, n: 7}. Give prob of sequence zz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82794420 a multiple of 1479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/124275200 and 137\/16311120.\nAnswer: 2609779200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.322981435283 - -0.04.\nAnswer: -1.282981435283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*2378408.\nAnswer: 45189752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c*o*y + 38*c*o - 5048*c + o*y - 2*y wrt o?\nAnswer: c*y + 38*c + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1653969 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from squuiquuqsussiuqiii. What is prob of picking 2 q?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 9*v**2 + 4*v + 7. Let b be o(6). Suppose -b = 20*d - 739. What is the remainder when 143 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 207?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/17 less than or equal to 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1980 (b) -0.5 (c) 239\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 - p**4 + 6*p**4)*(-33 - 181 - 5).\nAnswer: -657*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -5*p**6\/6 + 14*p**5 - 165*p**4\/4 - 560*p**3\/3 - 160*p**2 - 40. Suppose x(g) = 0. What is g?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(288))**2 + ((sqrt(24)*3)\/sqrt(12))**2 + (sqrt(320)*6)\/(sqrt(10) + (sqrt(10) - (sqrt(10) - (sqrt(10) - (sqrt(40)\/sqrt(4) - sqrt(10))*-1)))).\nAnswer: 12*sqrt(2) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/13)\/q)\/(q*q*q\/(q**(-3)\/q)))**45*(q*q**(-1\/7)*q\/q**(-5\/2))\/(q**(1\/6)*q*q*q*q**6*q) assuming q is positive.\nAnswer: q**(-89471\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**3\/6 + 9*s**2 + 5*s. What are the prime factors of v(12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, d: 8, f: 4}. What is prob of sequence ii?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 - 10*b**2 + 9*b - 25. Let d(p) = 3*p**3 - 11*p**2 + 10*p - 25. Let q(f) = -3*d(f) + 4*y(f). What is the hundreds digit of q(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**3 + 2*n**2 - 2*n + 3. Suppose -3*a - 4 - 8 = 0. Is i(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -7, -2, 3, 0.07 in descending order.\nAnswer: 3, 1\/7, 0.07, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43517492723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219 divided by 84128.\nAnswer: 219\/84128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 1. Let p(f) = -12*f**2 + f - 1. Let k(n) = 7*n**2 + n. Let a be k(-1). Let b(j) = -j**2 - 1. Let m(r) = a*b(r) - p(r). What is -m(s) + 5*x(s)?\nAnswer: -s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -22*a + 6. Let n(t) = -51*t + 14. Let z(c) = 14*k(c) - 6*n(c). Determine z(11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 + 27*i + 127. What is g(-12)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) 1156 (c) -127 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97864?\nAnswer: 2, 13, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**2 - 2571. Let p(g) = 6*g + 66. Give p(i(l)).\nAnswer: -12*l + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + l)*(-2*l - 2*l - 2*l) - 20694*l - l**2 + 20734*l + 14*l**2.\nAnswer: 7*l**2 + 40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 26, 27, 26, 23, 18, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63310778.\nAnswer: 2, 31655389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*(p\/(p\/p**(-1\/9)))\/p*p)\/p)\/(p**(-1\/4)\/p))\/((p\/p**0)\/(p*p**(-1\/9)\/p)))\/(p*p**(-2\/3)*p**3*p*p)**(-3\/44) assuming p is positive.\nAnswer: p**(155\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3641 to the nearest ten.\nAnswer: -3640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 811 a factor of 13955688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000468896 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 579 - 576. Solve -u - x + o = 2, 4*u = 3*x - 24 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 + 29*c**2 - 93*c + 36. Give m(9).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 5\/139, 5, -0.3 in decreasing order.\nAnswer: 5, 5\/139, -1\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*n**2 - 76*n**2 + 3*n - 2*n + 1 to the form m*n**2 + a*n + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (95\/15)\/(280\/30 - 9).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 716?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.8 + 0.2. Let h(j) = j**2 + 3*j. Let k be h(-3). Which is the second smallest value? (a) k (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.98 - 10.98. What is the closest to v in -2, -0.14, 0.7?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 237*n + 3873. What is the least common multiple of h(99) and 986?\nAnswer: 5916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/431 - 31481\/7758. What is the common denominator of p and 47\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1717 - (-2 + -5 - (-8 + 4)). Calculate the greatest common factor of 40 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**3 - 274416*r**2 + 274420*r = 0.\nAnswer: -68605, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -11*u + 65. Suppose 0 = -u*y + 63 + 2. What is the third derivative of -m**5 + 11*m**y - 4*m**5 - 28*m**2 wrt m?\nAnswer: 360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 6) in base 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 183.02?\nAnswer: -54.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**3 - 6*k**3 + 5*k**3)*(4 + 12 - 9).\nAnswer: 35*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-1 - 1) + 6) - 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 2*m + 7. Let i = 3626 + -3630. Put m, i, 5 in descending order.\nAnswer: m, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*c - 412507*c**2 + 412510*c**2 + 165*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 - 4.08. Let y = -347 + 162. Let b = 184.9 + y. Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-90)\/117*(1 - 2). Suppose 4*n + 9 - 17 = 0. Which is smaller: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b - 27 + 8 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 80*j**3 - 3*j**2 + j - 1. Suppose -2*f = -4*m + 6, 2*m - 1 + 0 = 3*f. Is a(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6233 and 56.1215.\nAnswer: 6289.1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 403. Let i(n) = -n**2 + 16*n. Determine i(d(t)).\nAnswer: -4*t**4 + 1644*t**2 - 168857","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uenn when four letters picked without replacement from {j: 2, e: 1, z: 2, u: 6, n: 3}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 825058000 to the nearest 1000000.\nAnswer: 825000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.6 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/108 and 85\/18.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 276097 = -2*w, 23*t + 690184 = 5*w + 30*t. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 51 - 2*r + r + r + 165 - 84.\nAnswer: -4*r + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 6*u**2 - 4*u - 2. Determine i(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*n - 54, 2*n - 5*f + 0*f - 34 = 0. Let u be n + -2 + (-1 - -3). Let w = -15 + u. Solve 0 = 2*m - w*m - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 - i**3 - i**3 + 4*i - 4*i - 3*i**3 + (2*i**3 + 2*i**2 - 2*i**2)*(-1 + 0 + 2) - i**3 + 0*i**2 + 0*i**2 to j*i**3 + k + q*i**2 + r*i and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -16*d**3 - 8*d**2 - 254*d + 2. Let r(s) = -19*s**3 - 10*s**2 - 251*s + 2. Give -5*g(l) + 4*r(l).\nAnswer: 4*l**3 + 266*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/5)\/(63\/15). Let m(n) be the first derivative of 0*n - 1 - l*n**3 + 4\/7*n**4 - 2\/7*n**5 - 2\/7*n**2. What is h in m(h) = 0?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 967*k - 39371. Let a(x) = 3*x**2 + 2418*x + 98427. Let w(n) = 5*a(n) + 12*z(n). Factor w(b).\nAnswer: 3*(b + 81)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 6. Let f(o) = -2*o - 7. Let k be f(w). Is (950\/125)\/(2\/k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + -6417?\nAnswer: -640b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = n - 23, n - 4*n = 3. Let z(h) = -5*h**2 - 8*h - 1. Let j(q) = q**2. Let i(y) = p*j(y) - z(y). What is the units digit of i(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*z - 5. Calculate the remainder when 59 is divided by ((-12)\/9)\/(z\/(-30)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.07 + 0.07. Let y = 0.27 - -7.73. Let b = -8.5 + y. Put b, 5, o in decreasing order.\nAnswer: 5, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 11956713.\nAnswer: 2\/11956713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -282566605841836 and -0.2.\nAnswer: -282566605841836.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 p, and 1 q when three letters picked without replacement from vpbvpvvq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88*(-22)\/(-352)*128\/44?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*w**2 + 6*a*w + 1933*a - 3*w**2 + 50*w wrt w.\nAnswer: 4*a*w + 6*a - 6*w + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -17*b**2 - 4*b. Let h(y) be the third derivative of y**4\/24 + 36*y**2. Give u(h(v)).\nAnswer: -17*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.0879 * 64\nAnswer: -5.6256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/418 and -49\/26752.\nAnswer: 26752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*n + 214 = -63 + 65. Sort -19, 232, n in descending order.\nAnswer: 232, n, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2245 + 13*y**2 - 21*y - 4*y**2 + 2201. Let f be j(-6). What is the greatest common factor of f and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -23 - (-4 + 0) - 2. Let y = -19 - j. Calculate the remainder when (y + (-108)\/10)\/((-2)\/5) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f = 8. What is the third derivative of -h**6 - 2*h**6 + h**2 - 3*h**f + h**2 wrt h?\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9\/2 (b) -18\/11 (c) 84.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/220 and 109\/308.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 8:21 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/(-2035)*(-7722)\/(-117).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 263, 261, 259, 257, 255?\n\"Answer: -2*t + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -912, -939, -982, -1041, -1116, -1207?\nAnswer: -1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -336 by 3.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 23537.4m?\nAnswer: 23537400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - 2. Let w be h(-4). Let t(y) = -1 + 0 - 2*y - 4. Let f(p) = 2*p + 4. Let d(b) = w*t(b) + 3*f(b). Give d(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -730253, -730218, -730183, -730148, -730113, -730078?\nAnswer: -730043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 14) in base 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 240 - 172. Calculate the least common multiple of 44 and p.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 24 = 2*u. Let x = 24 - 27. Let p(h) = h - 3. Let y(t) = -3*t + 9. Let k(i) = x*y(i) - 8*p(i). Determine k(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.46 + -3.34. Let i = w - -22. Which is the closest to i? (a) -2 (b) 0.3 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2 - 214919016*v - 5773772929801032 = 0 for v.\nAnswer: -53729754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and 286?\nAnswer: -343.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**5*h*h**2\/h)**26)**23)**4 assuming h is positive.\nAnswer: h**16744","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-2)\/(-12)*1) + -1. Suppose 45 - 15 = w*k. What is the greatest common factor of 24 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26582951 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3700, -15993, -36954, -66577, -104856, -151785?\nAnswer: -207358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.05, 0.5, 1\/3, -233, 223\/2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3211 and 1729.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*f + 692, 3*f + x + 141 = 656. Suppose 5*k - 86 - 199 = 0. Calculate the greatest common factor of k and f.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j - 2. Let z(x) = -14*x - 5. Let p(o) = o**2 - 6*o + 5. Let n be p(6). Suppose 2*w - n - 1 = 0. Calculate w*z(r) - 8*m(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7b4123 (base 12) to base 7\nAnswer: -22542600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1437 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12893\/42 + -1450\/7. Let t = -99 + w. What is the common denominator of t and 19\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 131, 551, 1251, 2231, 3491, 5031, 6851?\n\"Answer: 140*l**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.24905nm to millimeters.\nAnswer: 0.00002924905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 10 = -3*h - 5*v, h + 5*v = 30. Let g(q) = -2*q + 8. Let a(d) = -3*d + 17. Calculate h*g(f) - 3*a(f).\nAnswer: -f - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 538.8798l in millilitres?\nAnswer: 538879.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6996 - 664?\nAnswer: -743a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 96.85956 years?\nAnswer: 9.685956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/5*10\/4. Let n(m) = -7177. Let s(f) = 1305. Let q(i) = -2*n(i) - 11*s(i). Let w(k) = -k**2 + k + 1. Calculate u*q(z) - w(z).\nAnswer: z**2 - z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 699 = -3*q + 2937. Suppose -749*y = -q*y - 243. Let f = 56 - 35. What is the remainder when y is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332*s + 6552 = -346*s. Let b = s + 1140. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -133\/5*s**3 - 1532\/5*s + 774\/5*s**2 + 1\/5*s**4 + 1016\/5.\nAnswer: (s - 127)*(s - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-10)*-8*(-94)\/((-376)\/65)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2105 divide 436275980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -3*g - 0*g - 37, 20 = -2*g + 3*t for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (19*(-87)\/551)\/(-3*(-2)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/15*(28 + -3). Solve -14*c - c + b = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16986 and 456.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 255*r + 64753. What is q(-254)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14002 + -4?\nAnswer: -14010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*d + 13 = 0, 0*o + 4*d = -4*o + 12. Let w = o - -29. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**6\/210 + 23*v**5\/105 + 169*v**4\/42 + 290*v**3\/21 - 44*v**2 + 5*v. Factor w(x).\nAnswer: -4*(x - 29)*(x + 1)*(x + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttj when three letters picked without replacement from jtttjt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 16 = 2*g + 156, 5*g = -5*d + 250. Let y = 49 - 24. What is the remainder when d is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**2*t + 36593*l**2*z - l*t*z + l*t - 2*l - 2374 wrt z.\nAnswer: 36593*l**2 - l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (3 + -2))\/((-6)\/(-138)). Let s = u + 56. Let d = 46 - s. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 10. Suppose h*b = 14822 + 889. Let i = -31343\/6 + b. What is the common denominator of i and 143\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.6 + 17. Let s = 0.2 + r. What is s rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 2*w + 3*w - 3, -29*d - 39*d + 519 = -4*w + 227 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/13 (b) -2\/7 (c) -10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105826619 greater than or equal to 105826619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-7011)\/247 - (-1)\/(-3)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34956368 or 34956365?\nAnswer: 34956365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*k - 4 = 0, w - 5*k + 2 + 14 = 0. Let m = -2 + w. Suppose m*b = 4*u + 26, 3*b + 2*u - 36 = 7*u. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100011111110000111100 (base 2) to base 4.\nAnswer: -110133300330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 2716.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 11:08 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-12))\/((-4)\/(-6)). Solve -4*k + w = 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 475*s + 7610. Give k(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41944.58ng in grams?\nAnswer: 0.00004194458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 704\/((-528)\/12) + -28 + 2?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + ((-14)\/4)\/(-1)*-2. Let v(a) = a**3 + 8*a**2 + 6*a + 7. Let u be v(f). Let m be (-4 - u\/(-12))*-3*1. Which is smaller: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 604 + -591 - 27\/(-6)*-2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 + 0\/(4 - 1). Suppose -7*h = -f*h + 78. What is the remainder when 101 is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -3.641?\nAnswer: -3.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -32 in ascending order.\nAnswer: -32, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8494 is divided by 2780.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/16 and -37\/2493808.\nAnswer: 2493808","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 27611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 135588321?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1494103243 to the nearest integer?\nAnswer: 38654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 533628, 533736, 533830, 533904, 533952, 533968?\n\"Answer: -h**3 - h**2 + 118*h + 533512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 6*x**2 + 4*x + 5. Let j be (3\/6)\/(21\/(-10) - -2). Let b be t(j). Let u(n) = -9 - b + 5*n + 20. Give u(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w - 3 + 3 + 17*w. Let y(d) = -2*d**2. Determine a(y(v)).\nAnswer: -22*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 x when three letters picked without replacement from rxvxhhivhrrrhhrv.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t - 184 = -21*t - 49*t, 4*i = 4*t + 84 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + ((-5)\/4)\/5. Let o be ((-42)\/(-56))\/(1 - (-21)\/24). Let t be 2\/(-8) - 154\/(-168). Which is the closest to q? (a) t (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.02 and 0.5.\nAnswer: 5.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24964 - 11096. Is 227 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10616572?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45097\/10 - -4500. Let i = 1225\/3 + -389. Calculate the common denominator of i and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -49*k + 1. Let j = 7 - 9. Let f be b(j). Let x = -18 - -27. Calculate the highest common factor of x and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1519459 to the power of 1\/2, to the nearest integer?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, r: 4, z: 1, v: 7}. What is prob of picking 2 v?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20272*q - 20445*q + 33 - 35.\nAnswer: -173*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**3 + 954*a**2 - 473*a**2 - 481*a**2.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b = 67 + 68. Let l(q) be the first derivative of -25\/6*q**2 - 2*q - 4\/3*q**b - 10 + 7\/12*q**4. Factor l(r).\nAnswer: (r - 3)*(r + 1)*(7*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/5 (b) -2\/22083 (c) 3 (d) -7 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -18) + (-14304)\/960?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/625*(-10)\/(-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 + 4*r**2 - 20*r + 11. Let z(m) = -2*m**3 + 5*m**2 - 17*m + 11. Give 5*t(c) - 6*z(c).\nAnswer: 2*c**3 - 10*c**2 + 2*c - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (148\/20 - 8)*10 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 949*r - 2576*r + 1004*r.\nAnswer: -623*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 14*s = 5. Is 7\/(28\/16) + 11445\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -40 in descending order.\nAnswer: -4, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 4. Find the first derivative of m - 6*c + 2*c + 1 wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and 1275384?\nAnswer: 6376920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 1 + 766013*l**3 - 766370*l**3 as o*l + h + n*l**3 + x*l**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07042 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**4\/84 + 5*y**3\/21 - 25*y**2\/14 + 7*y. Factor t(w).\nAnswer: -(w - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/89 + (64\/24 - (1 - -1)). Suppose r - 2\/9*b**2 - 4\/9*b = 0. What is b?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473373155?\nAnswer: 5, 4133, 22907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 43 + 97 = -4*c, c = -3*s - 3. Sort 2, -5, c in descending order.\nAnswer: 2, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/44604 and 13\/3437.\nAnswer: 21900564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 2\/17, 0.696, 0.3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.2612 rounded to 0 decimal places?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 10*b - 9*b + 18*b - 21, 0 = -5*k - 9*b - 271 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 64b2c1 (base 13) to base 2\nAnswer: 1001000001110011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4 = -10. Let x = -3734.4 - -3734. What is the third smallest value in p, -2\/3, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 10:11 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6257 - 4264. Let b = z - -11230. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 6*j + 6. Let o be g(-5). Calculate the highest common factor of o and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 g when three letters picked without replacement from nnnzzngznnnngzzn?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5e (base 16) to base 12\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12521 or -12522?\nAnswer: -12521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.89669469 rounded to one decimal place?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 63912.87 centuries?\nAnswer: 6391287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 0 + 11280*c + 0 - 31*c**2 - 11280*c. Let b(o) = -3. Let h(i) = i - 21. Let l(u) = 21*b(u) - 3*h(u). Calculate m(l(j)).\nAnswer: -279*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/(9\/(-90)). Let i be 13\/(-6) - x\/30. Let f be (-2)\/(-4)*7\/(-7). Which is the nearest to i? (a) 4 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -200 in -2, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10179728 to the power of 1\/2, to the nearest integer?\nAnswer: 3191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/110 and (181\/(-30) - -6)\/(1\/(-73))?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - h + 6*h)*(2*h**3 + 2*h - 2*h) + 2*h**4 + 2*h**3 - 2*h**3 + 4*h**4 - h + h - 2422*h + 2*h**4 + 2422*h + 20*h**2.\nAnswer: 12*h**4 + 20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, o: 1, i: 3, w: 6}. Give prob of sequence wb.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g + 356. Let t be l(59). Let 2\/19*d**4 + 96\/19*d**t + 128\/19*d + 0 + 24\/19*d**3 = 0. What is d?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*((sqrt(117)\/(sqrt(81)\/sqrt(9)*2))**2 - (-3 + 3 + sqrt(468))).\nAnswer: -18*sqrt(13) + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/26*(-195)\/30\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 103 = 5. Find the common denominator of -93\/14 and 7\/(-22)*-2*m\/96.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgjgjgjjjgjgg. Give prob of picking 4 j.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-5751)\/(-924) - -3. Let j = 2\/77 - r. Find g such that 0*g**2 - j*g**3 + 0 + 0*g = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330161 and 156?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 3. Suppose 3*f + 2*q = -24, -5*f - 12 = -3*q + 9. Let u = -12 - f. Calculate h(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z - 12, -5*f - 11*z + 28*z - 19 = 15*z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*h + 2. Let d(z) = z. Let k(y) = y + 1. Let u(i) = h*k(i) + d(i). What is u(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 2*a. Let r be i(-3). Let w = 27 - 17. Let j = w - r. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 223.353673 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*u + 17, -i + 5*i = -u - 9. Let l be 11\/u - (8 + -10). Let c be (2 + 0)\/(-3 - 0). What is the third biggest value in -5, c, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400590539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/15)\/q**(-1\/36))\/(q**(-2\/35)\/q**(-1\/7)))**(1\/13) assuming q is positive.\nAnswer: q**(-157\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 66\/19?\nAnswer: 66\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*x - 34, -5*i + x + 3*x + 109 = 0. Suppose 3*h + 5*n - n - i = 0, 2*n - 11 = -h. Is 38 a factor of (-304)\/h*(5\/10 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmz when three letters picked without replacement from {m: 5, z: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 1170*n**2 + 326097*n - 708. Calculate l(712).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21.2007 and -0.4.\nAnswer: 8.48028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/33 + 1\/3. Let y be r*(1 + -3 + 1). Let j = -3.38 - -3.48. What is the third smallest value in -2\/7, j, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3192175349.\nAnswer: 11, 290197759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-135)\/20 + 6)*(-5)\/((-150)\/(-8)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88835323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -28 + 38 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 6*n + 4. Suppose 3*a = 3*q - 14 - 1, q - 5 = 2*a. Let r be v(a). Solve -8 = 3*w - r*y - 0*y, w = -2*y - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 982*t**2 + 11*t + 328. Let x(h) = 326*h**2 + 4*h + 110. Let i(u) = -4*r(u) + 11*x(u). What is the first derivative of i(n) wrt n?\nAnswer: -684*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 16 + 42)*(23*v**3 + 47*v**3 - 36*v**3).\nAnswer: 2448*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 36*d**2 + 121*d + 6602. Calculate k(-38).\nAnswer: -884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 7 = -12. Find the third derivative of -56*v**2 - 15*v**6 + 4*v**6 + 22*v**l + 12*v**6 wrt v.\nAnswer: 120*v**3 + 1320*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235480 greater than -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13507 and 0.494.\nAnswer: 6672.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3451 and 609?\nAnswer: 10353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -94 - 222. Suppose -b + 387 = 2*v. Calculate the highest common factor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-7 + 2 + 3)*(-3 + 1 + 0) + 51 - 22 - 21)*(y - 2*y - 2*y) to f + n*y and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8629633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 27*i - 196. What is f(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224384 (base 9) to base 16.\nAnswer: 20d37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546 (base 10) to base 7.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 470 - 189. Let u = j - 158. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.32 + -16.68. Let f = u + 6. Let s = -11.00034 - f. Round s to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-132)*44*8\/4532.\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20466175 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -4*r + 3*v, -5*v + 335 = -5*r - 10*v. Let s = -203 + 115. Let w = r - s. What is the remainder when 45 is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j + 70. Let y be r(14). Let n(v) = -v + 6. Let s be n(0). Suppose -8 = s*t - 10*t. Solve t*i - 9 = -3*w, y*w + 6 = 2*w - 5*i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(228)*6 + sqrt(228)))\/(3*2*sqrt(768)).\nAnswer: -11*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4003017.\nAnswer: 3, 1334339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 336*y**3 + 346*y**3 + y**2.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-4))\/(-12)*-1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 19 = z + 14, 2*l = -2*z - 34. Let k = z + 5. Is k bigger than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36515.93 days to minutes.\nAnswer: 52582939.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.09 + -0.09. Let y = -2.113 - -0.013. Let w = 1.1 + y. Sort u, w, 1\/4 in increasing order.\nAnswer: w, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 + -23 + -2 + 5. Let w(r) = -r**2 - 9*r + 6. Let n be w(i). Let a(k) = 2*k + 3. What is a(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 6*k = -12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 244*q**2 - 19*q - 49. Is 35 a factor of o(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*h**2 - 1\/2*h - 21.\nAnswer: (h - 7)*(h + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, -0.1, -11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1520*d - 1247. What is the thousands digit of f(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -10*z - 11\/20*z**5 + 0*z**6 + z**2 + 15\/4*z**4 + 5 - 2\/21*z**7 + 0*z**3. What is the third derivative of s(v) wrt v?\nAnswer: -240*v**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -329 + 329 - 3*t. Let j(h) = h. Give j(m(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 - 4 - (-2 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 4*s + 8. Calculate the lowest common multiple of m(-4) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.04, -1\/37, -4, -14 in decreasing order.\nAnswer: -1\/37, -0.04, -0.3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 29037952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43\/33 + -6337\/330. Let h = k - -116\/15. Let p = -2986\/11 - -60743\/220. What is the common denominator of p and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*j - 8*f = 290*j + 1, 0 = -2*j + 5*f - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*i = 158, -179 + 51 = -2*w - 2*i. Calculate the highest common factor of 46 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/36*-10*-3*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 7. Let k = 94 - 468\/5. What is the smallest value in d, -0.26, 1, k?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/35266624 and -65\/44992?\nAnswer: 670065856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**4\/3 - 4*v**3\/3 - 2*v**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 979 = 23*q + 588. Sort q, -7, 5.\nAnswer: -7, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1. Let y(l) = 33*l - 1. Let a(t) = 2*s(t) + y(t). Let i be a(-1). Is -33 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 8:58 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/3)\/p)**(3\/43)\/(p**(-2))**(1\/12))**(1\/11) assuming p is positive.\nAnswer: p**(37\/2838)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/126*(-21)\/15.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 4. Suppose -h + x = 4. Suppose -95 - 101 = -5*o + h*g, -4*g + 94 = 2*o. List the prime factors of o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.056 - 112617452?\nAnswer: -112617452.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743500310.\nAnswer: 2, 5, 7, 557, 19069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 99 + (-1)\/(4\/20). Suppose f*m = 97*m - 45. What is the lowest common multiple of m and 63?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**5\/4 - 39*s**4\/4 - 99*s**3\/4 + 319*s**2\/4 - 45*s = 0. Calculate s.\nAnswer: -36, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.731 in -0.5, 0.1, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 272\/(-119) - 2\/(-7). Let v(g) = -6*g - 4 + g - g**2 - g**3 - 2*g**3 + g. What is the least common multiple of v(f) and 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 25*l**2 + 23*l - 34. Let w be 10\/(-265) - 60544\/2332. What is b(w)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozyzzzkziyoozyc. What is prob of picking 1 z and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10138.03 - 10206. Let g = 21.33 - s. What is g rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 4\/5, 0.4, -0.35 in descending order.\nAnswer: 4, 4\/5, 0.4, -0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -2, -11, 12, 68, 4 in decreasing order.\nAnswer: 68, 12, 4, -2, -4, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (11618\/(-148) - -49) + (25 - -2) and -1 + 0 + (-761)\/(-796).\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 14*h - 1. Let p be d(-14). Let q be (0\/2)\/(0 + p). Solve -4*v + 0 + 4 = q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**4\/4 + 23*h**3\/3 + 111*h**2\/2 + 153*h + 274. Factor x(n).\nAnswer: (n + 3)**2*(n + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*u + 21, 4*w + 3 = 2*u - 5*u. Let d(g) = -39*g. Is 13 a factor of d(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/24 and 9\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 196\/21 + 1\/(-3). Let u(c) = -c**3 + 11*c**2 - 17*c - 11. Let b be u(t). Let d(v) = -21*v - 3. What is the units digit of d(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -14*f + 80. Let g = f - 17. Put 4, g, -4 in decreasing order.\nAnswer: 4, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 153393450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i - 2*i + i)*(4 - 4 + 3*i) + 2 + 0*i**2 + 3 + 2*i**2 to the form o + j*i + b*i**2 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 3*n**2 + 3. Let m be a(3). Let u = -0.1 - -1.1. What is the closest to -1 in u, m, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 0, 3.3, 1, 19\/12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.9081 + 0.1599. Let g = 0.068 - w. Let t be ((2 + 0)*-1)\/(-19). Which is the third biggest value? (a) t (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 5*y - 1. Suppose -3*b - 112 = n, b - 2*n + 88 = -b. Let j = b + 34. Determine g(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d = 4*l + 68, 93 = 5*d + 3*l. Let n(q) = 116*q**3 - q + 1. Calculate the least common multiple of d and n(1).\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j = -30. Let i be 4\/j + 6\/(-18). Which is the biggest value? (a) -2\/7 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3066338984?\nAnswer: 2, 271, 331, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -17, -42, -77, -122, -177?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 44.7488 and -0.1?\nAnswer: 44.8488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, s: 2}. What is prob of sequence ppp?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -4. Suppose -w - 30*w = 38936. Is (w\/g)\/((-40)\/100) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + -2)*(84\/(-15) - -5). Put 0.1, 3\/5, g, 4 in increasing order.\nAnswer: g, 0.1, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-2))\/10*12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, -79.745, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11*s**2 + 2. Let o(i) = -22*i**2 - 5. Let u(g) = 3*o(g) + 7*p(g). Let h be u(-1). Let m = h - 6. Solve 0 = -z + m*z + 5*r, r + 3 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -169 (b) 5 (c) -2 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49962?\nAnswer: 2, 3, 11, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39611 = 287*t - 283*t - 5*m, -2*m = -2. What are the prime factors of t?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2020122101002 (base 3) to base 15.\nAnswer: 188a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 + 27*o\/4 - 25\/2.\nAnswer: -(o - 25)*(o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 2*f**2 + f + 16. Let r be y(0). Suppose 7*n + r - 37 = 0. Solve 13 = -5*i - n*p, 4*i = -0*i + 5*p - 40 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.16432 times 0.1\nAnswer: -0.716432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 4, c: 1, r: 1}. What is prob of sequence ech?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*y + 6 + 4*y**4 + 0*y**2 - 2*y**4 - 5 + 2*y**2 as k*y**3 + c*y**2 + i + l*y + j*y**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l + 5458. Let c be f(0). Let p = c + 5579. Suppose p = 11*a + 554. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -108 + 25 + 47 - (0 - 23).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22043962 to the nearest integer?\nAnswer: 4695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s - 1\/4*s**2 + 5.\nAnswer: -(s - 2)*(s + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -88*k + 8. What are the prime factors of p(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5917 - 1.4126?\nAnswer: -5918.4126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14768 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -472*n**5 - 7*n**3 - 162*n. Let j(z) = 157*z**5 + 2*z**3 + 54*z. Let f(u) = 7*j(u) + 2*m(u). What is the second derivative of f(k) wrt k?\nAnswer: 3100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*v + 17 = 0, m - 3*v + 2 = -5*v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 596*s - 11955. Give g(20).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*i = -2*s + 1141, -s = 5*i - 387. List the prime factors of s.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13115735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*n - 55 - 309. Suppose -8*t + 861 = n*t. Calculate the remainder when 157 is divided by t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 6*h**2 + 2*h - 8. What is g(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -24. What is the nearest to -1 in r, -2\/15, 3\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -813?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47 + -2406413?\nAnswer: -2406462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001101000 + -1011101?\nAnswer: 1011000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2413278 divided by 6.\nAnswer: -402213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*p + o - 3*o, p - 2*o = 15. Suppose 690 = -p*b + 2570. Let h = b + -173. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 114 + 18 = 0. Let m = -11 + t. What is the smallest common multiple of m and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/13 + 1276*u\/13 + 6330\/13.\nAnswer: 2*(u + 5)*(u + 633)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 8 = 3*g - 16 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 17*k**2 + 2372*k + 25203. Give f(-128).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1492715 divided by 298543.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 7. Let j(m) = 4*m**2 + m - 29. Let x(k) = 2*j(k) - 9*v(k). Let n(f) = -f**3 + 3*f**2 + 4*f + 4. Let p be n(4). What is x(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(-1\/2)*(w**1*w)**(-4\/15))**(-4\/15) assuming w is positive.\nAnswer: w**(62\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -337 - -657. What is the greatest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14834 is divided by 297.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128765457?\nAnswer: 3, 173, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Suppose 0 + s = -g, 0 = h + g - 2. Find the third derivative of -v**h + 2*v**5 + v**2 + 0*v**5 wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11111 (base 2) to base 11\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-2)\/(-1))*3. Let j(x) be the first derivative of x**3\/3 + x**2\/2 - 2*x + 17. Let p be j(b). Solve -p*t - t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4241*s + 355264 = 68424 - 66428 - 79314 for s.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/3)\/((-4)\/(20\/15)). Put 4, w, -2\/25, 2 in decreasing order.\nAnswer: 4, 2, w, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 11:02 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -9. Suppose i - 5*i = 4, 3*k + p*i = 19. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -61*i**3 - 2*i**2 + i + 25. Is y(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**6\/40 - g**5\/20 - g**4\/4 + 80*g**2. Factor i(w).\nAnswer: 3*w*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10 and -0.8411.\nAnswer: -10.8411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((693\/84)\/33)\/(2\/(-3)). Which is the closest to -0.1? (a) d (b) 0.3 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(19) + 0 + (sqrt(133)*2)\/sqrt(7) + sqrt(19))*3.\nAnswer: -15 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.264 - -0.036. Let k = i + -3. Let m = -2025\/2 + 1011. Which is the nearest to 0? (a) m (b) -1\/10 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2*p + 3 = -32*m + 33*m - 2, 25*m + 5*p + 25 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 + 4)*18\/4. Let y be (-2)\/(-1) - (c - -18). Solve 0 = y*q - 2*r + 2, -5*r + 3 = 3*q + 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -71 (c) 0 (d) 0.4 (e) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 0.1006\nAnswer: 0.3994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24962899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21513 * 52.\nAnswer: -1118676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25551 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1357 and 1829.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49720 and 264?\nAnswer: 149160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -535756706*s + 217888673 wrt s.\nAnswer: -535756706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -177*g + 452 - 9833. Let v = 155 + -162.1. Let r = v - -7. Which is the closest to 1? (a) g (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 5*l + 113747 - 113761 = 0, 4*f - 4*l + 8 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/1 - 876\/146\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**2 + 2*o**2 + o**2)*(-5*o + 3*o + 5*o - 1)*(0*o**2 + 4*o**2 - 156*o + 151*o).\nAnswer: -24*o**5 + 38*o**4 - 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - q - 4*q - 11*q in the form k*q + t and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 - 101*g**2 + 101*g**2 - 2*g - 2 to the form j*g**3 + u*g + z*g**2 + v and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*p**3*s**3 - 249*p**3 + 20*p**2*s + 32*p*s**3 + s**3 wrt p.\nAnswer: -54*s**3 - 1494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 14, 9 in descending order.\nAnswer: 14, 9, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -30. Let p be (12\/14)\/((-1)\/m). Let q be (-8)\/p*(-2 - 1*40). Is 28 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2 - 2. Let q be k(-2). Suppose -q = x - 1. Let h(n) = -16*n - 14. Let f be h(x). What is the greatest common factor of f and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 12:35 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(1\/20*1). Calculate the greatest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11))**(-13) assuming h is positive.\nAnswer: h**143","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-8)\/2*(-140)\/80.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 - 111*m**2 - 53*m + 110. Let v be c(-55). Sort -2, 5, 160, -4, v in increasing order.\nAnswer: -4, -2, v, 5, 160","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-4)\/(-3))*-12. Let l be (v\/1 - 1) + 5. Suppose 2*y = -l - 0. What is the biggest value in y, 1, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n + 374. Let h(b) = -b**3 - 4*b**2 - 44*b - 228. Let f be h(-5). What is the highest common factor of f and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*f**3 - 18916*f**2 - 101740*f - 26800.\nAnswer: 4*(f - 268)*(f + 5)*(18*f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q - 68*q + 9 + 3*q - 8. Let v(b) = -5*b**2. Calculate l(v(u)).\nAnswer: 365*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 88927 = -15839. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**5\/20 - g**4\/12 - g**3\/6 - 7*g**2\/2 - 4*g. Let t be u(0). Let w = t - -23. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7))**(-1\/33)*a**8*a*a*a**(-16) assuming a is positive.\nAnswer: a**(-191\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2.3 (c) -2\/9 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.2979817 rounded to 3 decimal places?\nAnswer: -19.298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 14. Let j = u - -2. Let c = -3.9 - -4. What is the third smallest value in j, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(63)\/(sqrt(9)*1)) - (sqrt(200) + 0 - (sqrt(8)\/sqrt(4) + -5 - sqrt(2)))**2.\nAnswer: -225 - 99*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from {h: 1, b: 1, j: 1, l: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7149 - -3179. List the prime factors of o.\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1733295 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 60372.02 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/11 (b) -0.3 (c) -3\/8 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, -4, -5.\nAnswer: -5, -4, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7421 and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 29 + 3 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -58270.5117321 less than -0.32?\nAnswer: 58270.1917321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13054*46.\nAnswer: 6.00484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + ((-90)\/(-27)*-3 - -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 50 = -5*g, 10*g - 5*g - 4*f - 50 = 0. Calculate the highest common divisor of 35 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -559*z - 281 + 559*z + z**2. Let b(y) = y**2 - 1. Let d(t) = 24*t**2 - 16. Let c(s) = -16*b(s) + d(s). Determine c(f(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9352\/179 + -11125827\/1790. Let a = z - -6169. Find the common denominator of (-82)\/(-18) + (297\/18)\/(-11) and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 7:42 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = u + 15, 2*i + 2*u = 1 + 5. Suppose 3*w = 0, -i*l = -2*w - 3 - 15. Solve 0 = -k + 4, -3*s + 1 = -5*k + l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/32*-4)\/((-55)\/((-20790)\/84))?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.002 - -18.398. Let x = j + -9.5. Let i = -8.899716 + x. What is i rounded to 5 decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.07 (b) 0.3 (c) 0.05 (d) -0.67 (e) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Let k(n) = -n. Let g be k(p). Suppose -2*l = -g*l - 8. Solve l = -x - 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i - 19*i = 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 5*o - 11 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -173698*z - 521078. Give y(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(30) + sqrt(30)*-2)*-5)\/(sqrt(10) + (sqrt(10) - sqrt(160))*-6).\nAnswer: 20*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(5) + 0)**2 + 1.\nAnswer: 8*sqrt(5) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -1\/96*f**4 + 0*f + 1\/12*f**3 - 2*f**2 + 0 - 1\/240*f**5. Determine t so that c(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**3 + 337*h**2 - 1162*h + 1150. Let p(x) = -x**3 + 111*x**2 - 387*x + 383. Let w(o) = -3*b(o) + 10*p(o). Find k such that w(k) = 0.\nAnswer: 2, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 7*k**2 + k + 2. Let t = 997 + -946. What is the remainder when t is divided by l(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 23137 = 26*d. List the prime factors of d.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12080 - 9?\nAnswer: 12074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3*-1)\/(3\/(-2)). Suppose -3*l = -2*f + 4 + 16, l = -5*f + 67. Let r = f - 15. Sort h, r, 3 in decreasing order.\nAnswer: 3, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*k + 225 = 0, 4*a - 54 = 4*k + 86. What is the greatest common factor of 1000 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z = 34*z - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.94, -4\/5, 4?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18234?\nAnswer: 2, 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/sqrt(5) + sqrt(21))*3 + sqrt(21))\/(sqrt(147) + sqrt(147)*3)*-3.\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 20. Let f be s(-10). Suppose -w = l - 11, -l - f = -w - w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -12*k**2 + 86*k + 24. Calculate s(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 78718120 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 89?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047.93594 minus 25.1?\nAnswer: 1022.83594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -19.7. Let u = t + -0.8. What is the smallest value in -1\/4, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430948782, 430948780, 430948778, 430948776, 430948774?\nAnswer: 430948772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**2\/5 + 2232*w\/5 - 31540 = 0. What is w?\nAnswer: 83, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o**5 + 1520*o**4 + 12756*o**3 + 32152*o**2 + 13568*o - 16512 = 0 for o.\nAnswer: -86, -4, -3\/2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/3 + 388*k**2\/3 + 782*k\/3 + 392\/3.\nAnswer: -2*(k - 196)*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/27*57*(-1)\/(2\/2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/4324 and 28\/9729?\nAnswer: 38916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b**3 + 12*b**3 + 2*b**3 + 0*b**3 + 6*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 63*p + 423*p + 2 to the form s + v*p and give v.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 362759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + (sqrt(78) - (1*sqrt(78)*-1 + sqrt(78) + sqrt(78) + sqrt(78)))\/((sqrt(240)\/sqrt(5))\/sqrt(8)).\nAnswer: -sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1.045877?\nAnswer: -6.954123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.28 + -0.56. Let p = u + -0.72. Is p smaller than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**2 + 56*x - 77. Let d(b) = 2*b**2 - 29*b + 39. Let s(u) = -11*d(u) - 6*l(u). What is the tens digit of s(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 16 = -f, 2 = 2*s - 4*s. Let u be 0 + -1 - 0\/f. Let o be u\/((-201)\/99 + 2). What is the highest common factor of 22 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 l when three letters picked without replacement from twtwlttwvllll?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.2857 - 0.2857. Let r = 1 + -2. Which is the closest to 2? (a) r (b) -2\/13 (c) h (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -2.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 3*v**2 + 6*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -156, -316, -476, -636, -796, -956?\n\"Answer: -160*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 15*x**2 + 12*x - 15. Let n be g(-14). Let y = n + -11. Solve -z - 2*t = -3 + y, -8 = z - t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -2, -5 in increasing order.\nAnswer: -5, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 12 - 18. Which is the nearest to -2? (a) k (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.1 + -0.1. Suppose -7*h + 4*h = 6. Let f be 3\/9*(h - 3). Which is the third smallest value? (a) 5 (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497 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: -2+3311\nAnswer: 3309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8 - -12) + (23211 - -54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 0 + 0*b + 9*b**2 + 0*b**3 + 0*b**4 + 1\/45*b**5. Factor l(m).\nAnswer: 4*m**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42*t + 36*t + 26*t)*(t**3 - 1 - t**2 + 2 - 2*t**2) as k + w*t**4 + u*t + x*t**2 + j*t**3 and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - 16) + 138 + -27\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 o, and 1 w when three letters picked without replacement from hohoczwoo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**3 + 18*t**2 + 27*t = 0. Calculate t.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-2)\/2)*5. Let r(h) be the first derivative of -2*h + 1\/2*h**2 + 3. Calculate r(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5 = 3*l. Let t(g) = 17*g + 24. Let v(u) = 4*u + 6. Let b(n) = 2*t(n) - 9*v(n). What are the prime factors of b(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -15*i - 8211. Let f = 491 + i. Solve -f*w + 7 + 9 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 55092?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/5)\/m)\/((((m*m*m\/(m**(2\/17)*m))\/m)\/m*m)\/m))**(6\/11)\/(m**8*m*((m\/(m*m**(-7)))\/m)\/m*(m*m**0)\/(m\/(m\/m**(-3\/7)))) assuming m is positive.\nAnswer: m**(-101988\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8970832317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 99226.5 meters in kilometers?\nAnswer: 99.2265","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 3*w + 34. Let h = 19 - w. Let x be 1\/6 - h\/(-240). Which is the third smallest value? (a) 0.2 (b) x (c) 2\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182144 to the power of 1\/2, to the nearest integer?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12269 is divided by 1152.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*p = 173*p - 30. Let x be ((-9)\/p)\/((-1)\/5*1). What is the second biggest value in x, -27\/5, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 72232 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434*t = -440*t. Let v(m) be the third derivative of -6*m**2 + 0*m + 1\/120*m**6 - 1\/30*m**5 + t*m**3 - 1\/12*m**4 + 0. Determine v(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 - 58.6. Let h = 0.052 + 0.048. Which is the closest to -0.4? (a) 7 (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(3\/4)\/f))\/f*f**(-3)*f*f**(-1\/8)\/f**(2\/5))**(4\/5))**20 assuming f is positive.\nAnswer: f**(-182\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14134570 (base 8) to base 16.\nAnswer: 30b978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.19*-8\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n + 11. Determine q(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20 = 5*y, 0 = -2*n - 4*y - 7 - 3. Let i(a) = -3*a + 5. Let g(u) be the third derivative of -u**3\/6 + 27*u**2. Determine n*i(s) + 5*g(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -13, 1\/8, -3, 1\/55, -1, 11\/8, 1\/3?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -127*l**3 - l**2 - 9*l + 15. Let h be i(-4). Is ((-8)\/12)\/((1 - 4)\/h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*j - 6*j + 39, 4*m = j + 24. Solve 3*t + 10 = -m*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyfyyyfyyyyyyy. What is prob of picking 1 y and 2 f?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12893?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2089, 4308, 6537, 8776, 11025?\nAnswer: 13284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711534.\nAnswer: 2, 3, 118589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7094976378?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.69 (b) -2 (c) -5 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) + (4 + sqrt(343))*-5 + sqrt(343).\nAnswer: -21*sqrt(7) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -3331131322112?\nAnswer: -3331131322102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 1 = -2*k, k - 4 = -5*t - 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2555 is divided by 122.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -226ec?\nAnswer: -226ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 82 + -31e0?\nAnswer: -315d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-76 + 2 - 25)*(8 - 4*k + 1 - 1) to m*k + i and give m.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 24712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -643*m = -648*m - 18330. Let w be 7\/(8526\/m) + 3. Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, c: 1, s: 5, x: 4, k: 2, b: 1}. Give prob of picking 2 r and 2 k.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -38. Solve 4*s - 22 = 3*v + 3, s = u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(3 + 10\/5) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u**2 + u - 1. Let d be a(1). Let w = d + -1. Calculate the remainder when 11 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 45 - 16055*a + 90.\nAnswer: -16055*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by (-69)\/(-4) - 39\/(-52).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -453 (base 13) to base 5\nAnswer: -10434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - -0.2. Let s = 0.6 - x. Put s, 0, -1\/4 in decreasing order.\nAnswer: s, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 - 15*n + 6. Let y = 19 + -13. Calculate the remainder when u(y) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59909887?\nAnswer: 17, 31, 79, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*u - 0*n + 2*n, 0 = 4*u + n - 3. Let f be (5 + -2)*(1 + u). Suppose -d + f = -0*d. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**4 + 13982*b**3 - b**2 + 1 - 13982*b**3 to the form g*b + t*b**2 + r + z*b**4 + q*b**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 249.8 + -247. Put -0.2, -3, -0.5, c in increasing order.\nAnswer: -3, -0.5, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = y - 7. Suppose -3*o + 2*o = y. Let p be (-1)\/2 - 10\/o. Calculate the greatest common factor of p and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -191.7 - -192.7. Which is the closest to -1? (a) u (b) 0.07 (c) 9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -39b1685?\nAnswer: -39b1690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -e7023 (base 16) in base 7?\nAnswer: -11020430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 355 + -349. Let l(j) = 4*j**2 + 3*j + 1. Let m be l(-2). Let x = 16 - m. Solve 0 = x*v + 3*w + k, -w = 2*v - 0*w + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*q**5\/5 + 974*q**4\/5 + 9904*q**3\/5 - 44738*q**2\/5 - 22732*q\/5 - 2736\/5 = 0. What is q?\nAnswer: -9, -1\/4, -2\/9, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1310364 (base 10) to base 4.\nAnswer: -10333322130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*q - 6*q - 170. Let v(w) = -4*w**2 - 2. Let n(c) = -23*c**2 + c - 12. Let m(f) = q*v(f) - 6*n(f). What is k in m(k) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 354.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -8. Suppose 4*b + 9 + 11 = 2*o, 3*b + 4 = -4*o. Differentiate -j + y**3 + o + 2 wrt y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 22*h + 6. List the prime factors of c(-11).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*y**2 + 163*y**2 + y - 85*y**2 - y + 13*y**2.\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*d + 82004252399 - 82004252399 + 54*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 3. Let s be u(-3). Let m = -5 + s. Let v = 0 - m. Calculate the lowest common multiple of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0140005 at most 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)*1 + sqrt(60))\/sqrt(12) + (sqrt(15)\/sqrt(3)*-1 + sqrt(5) - sqrt(5)) + (sqrt(5) - (1 + sqrt(405) + sqrt(5)) - 1*sqrt(125)))**2.\nAnswer: 26*sqrt(5) + 846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 31136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3760139 kilograms in tonnes?\nAnswer: 0.0003760139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (0 - 0)\/1. Let c be (-1)\/y + (-21)\/(-4). Solve 5*f - 15 = 5*r, 4*r + 15 = c*f - 0*r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -33*b**3 - 2*b**2 + 10*b + 12. Let k be m(-1). Let o be ((-10)\/24)\/((4455\/(-72))\/k). Put 94, o, 4 in descending order.\nAnswer: 94, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-17)*40\/(-18)*1830\/(-488)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 74502 = 136825. Suppose 0 = -8*i - o + 43911. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + -14 + 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*(-465)\/(-1674)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.9, -75.93, 2, 1\/9, -1\/6 in descending order.\nAnswer: 2, 1.9, 1\/9, -1\/6, -75.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74390 divided by 3.\nAnswer: 74390\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q + 12. Let w(b) = 5*b - 11. Let m(o) = -4*d(o) - 5*w(o). Calculate the lowest common multiple of m(4) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 14. Let b = h - 20.89. Which is smaller: b or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -25.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 4016794.009.\nAnswer: -4016794.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 7056500 to the nearest 100000.\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 0*v**6 + 0 + 0*v**3 - 1\/90*v**5 + 0*v + 16*v**2 + 1\/72*v**4 - 1\/1008*v**8 + 1\/315*v**7. Factor o(g).\nAnswer: -g*(g - 1)**3*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/26 + (-118024)\/(-104). Suppose -m + 4*a = -323, u = 4*m - 3*a - 144. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6.15 (b) -1\/2 (c) 1 (d) 5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 267826?\nAnswer: 25\/267826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/401 + -789\/5213. Let s = 14 + -13. Let x = -3 + 3.1. Which is the nearest to s? (a) 1 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 11 = 3*g, -g + 5 = 5*p - 6*g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0, 5, -1, 3 in ascending order.\nAnswer: -14, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 10*r**2 + 3*r + 26. Let i be d(-9). Is i at least as big as -109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000049948 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1041143220 (base 5) in base 4?\nAnswer: -20232123032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3, -392 in decreasing order.\nAnswer: 9, -3, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82932840 divided by 45.\nAnswer: -1842952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-2)\/(-4)*118\/(-3). Suppose 3*m - 1 = z. Let w(o) = 28*o - 46. Is w(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -7\/5 (c) -1\/4 (d) 2.8 (e) -8 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 10:53 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27276219 is divided by 1185922.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 1. Let l be z(-4). Find the common denominator of 43\/8 and (-31)\/l - (-4 + 1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -244.\nAnswer: -1\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3147206?\nAnswer: 2, 1573603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12550.20599 rounded to the nearest 10?\nAnswer: -12550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g**3 - 3. Let y = 28 - 25. Suppose 9*f - 8*f = -y. Let k(i) be the second derivative of -13*i**5\/20 - 7*i**2\/2 + 4*i. Give f*k(z) + 7*o(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 10:58 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnsiisiiiiiisisss. What is prob of picking 1 n and 3 s?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35 + -558?\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + j - 467359 = -467362, -5*n + j - 9 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -866*g - 84 = -873*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 384596885 to the nearest integer?\nAnswer: 19611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o**2 - 15*o - 6. Suppose 5*z + 30 = -5. Let u(p) = 7*p**2 + 10*p + 4. Let g(c) = z*u(c) - 5*m(c). Calculate g(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 6*r - r - 5, 4*d - r = 23. Suppose -9*b = -6*b, 26337 = 3*k + d*b. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*g**4 - 2*g**2 + 0*g - 3\/2*g**3 + 0 = 0. What is g?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 u when four letters picked without replacement from ubbwwwub.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.0223 (b) 1\/6 (c) 2 (d) 0.4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdnxxddxdxx. What is prob of sequence nxdd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115355 + -10?\nAnswer: -115405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-374)\/(-3) - 0\/14)*3.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*s - 239 = 5*s, 0 = 4*i + 3*s - 215. Suppose i - 14 = k. Let x = 48 - k. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*d + 635*d = 292*d + 1127 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(6\/17)\/(y\/y**(-5)))\/(y**(-32)\/(y\/y**(2\/23))) assuming y is positive.\nAnswer: y**(10661\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240 by -165.\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 7*t**3\/6 - 2*t**2 + 2*t. Suppose -2*k - 9 = -5*k + 3*y, -k + 3 = 5*y. Suppose -7*a + z - 5 = -4*a, k*z = -12. What is j(a)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -56*y - 4. Let d be (-36)\/10 + 4\/(-10). Let q be j(d). Suppose -2*r + l = 4*l - 111, 4*l + q = 5*r. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(7) + 4*sqrt(5)*1)**2*1 - (sqrt(5) + sqrt(20)*4 - (1 + sqrt(500) - sqrt(500))).\nAnswer: -9*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 813, 6470, 21825, 51726, 101021, 174558, 277185, 413750?\nAnswer: 589101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1385845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12789733.\nAnswer: 11, 109, 10667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c - 58 - 13242 + 6*c - 2*c. Let n be m(0). Round n to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6f41710 - -1?\nAnswer: -6f4170f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14402 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202 = -151*b + 687 + 1980 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j + 7 - 7 - 4*j to the form y + k*j and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 657609, 2630415, 5918425, 10521639, 16440057, 23673679, 32222505?\n\"Answer: 657602*z**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.7134 (b) 0.03 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 24*s**2 + s - 17. Calculate m(24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 + 44*r - 179. Determine s(13).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3 - 8. Calculate the remainder when (0 - (-45 + g)) + 2 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - j + 6 = 0, 12*j + 11 = d + 14*j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -919135132*p**3 - 528463133*p**2 wrt p?\nAnswer: -5514810792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3065476 is divided by 1939.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -3, 5, -22, -32 in ascending order.\nAnswer: -32, -22, -3, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8593406.3425 and 2.\nAnswer: -8593404.3425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2759 + 2875. Calculate the remainder when v is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/17)*l\/l**12*l)\/(l*(l*l*l*l**7\/l*l)\/l*l**(5\/7)))**(1\/15) assuming l is positive.\nAnswer: l**(-2479\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*(sqrt(18) - (sqrt(18) + -4*sqrt(162))))\/((sqrt(6) - ((sqrt(60) + sqrt(240)\/sqrt(4) + sqrt(60))\/sqrt(10) + sqrt(6)))*-4*-5) + 1.\nAnswer: -6*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1388801?\nAnswer: -1\/1388801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45.14958l?\nAnswer: 45149.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + j. Let z = 0.48 - 0.08. What is the closest to j in -4, -0.1, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*r**2 + 0*r**2 + 34*r**2)*(2 + 3 - 2).\nAnswer: -87*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(99) + -4) - (-3*sqrt(880))\/sqrt(5))**2 + 0)*5.\nAnswer: 360*sqrt(11) + 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 242?\nAnswer: 1\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2793*g**3 + 1109 + 1317*g**3 + 633*g**3 + 796 wrt g?\nAnswer: -2529*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 848 + -834. Solve -5*g + c = 34 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -1 - 0 - (-56 + -1 - -47).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 10855*b**2. Let s(q) = 1811*q**2. Let i(r) = -2*k(r) + 13*s(r). Let j(a) = -3*a**2. Give j(i(d)).\nAnswer: -10079667*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -333670 - -720969. Suppose 3*k = -k - 410804. Let c = k - a. Round c to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*m, 3*a = 4*a + m. Let q(n) = -52*n**a + n + 6 - 8*n + n + 54*n**2. Let x(f) = f - 1. Calculate q(b) + 6*x(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aii. Give prob of sequence aii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 58?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 6. Is (-146)\/(-9) + r\/9 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/5 - 26699*f**2\/5 + 578448*f - 78169212\/5.\nAnswer: -(f - 54)**2*(f + 26807)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2212, -4377, -6542, -8707?\n\"Answer: -2165*q - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**3 - 3516947*b**2 - 3092234325616*b - 9276671324352 = 0.\nAnswer: -1758472, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -13*p + 59. Let m be 2\/2 + -2*3. Let x(j) = 2*j + 12. Let i be x(-8). Sort i, p, m in ascending order.\nAnswer: m, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -592 divided by -4\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 370532887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2265a (base 12) in base 6?\nAnswer: 552154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*v + 10 = 0, 216*m - v + 10 = 219*m. Solve 6 = 3*k + k - m*j, -5 = -5*j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 989834 (b) -2\/3 (c) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1353456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-16*(-1)\/12)\/((-3034)\/(-4428) + (-2)\/3)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -31*u**3 + 3*u**2 + 17*u + 11. What is the tens digit of i(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 7*r - 42 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 0 - 44*f**2.\nAnswer: -44*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7347, 7341, 7341, 7353, 7383?\n\"Answer: b**3 - 3*b**2 - 4*b + 7353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -28. What is the biggest value in -5, n, -4\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(2) + sqrt(2) + -2 + sqrt(2))*4 - (-4*(-2 + sqrt(2)) - sqrt(2))) + (sqrt(2) - sqrt(6)\/sqrt(3)*4) + -4 + sqrt(2)*1 + sqrt(2))*2)**2.\nAnswer: -2560*sqrt(2) + 3648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2 + 0 + 48\/13*u - 2\/13*u**4 + 18\/13*u**3 = 0. What is u?\nAnswer: 0, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171195576 to the power of 1\/2, to the nearest integer?\nAnswer: 13084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*u - 5*c + 65, 85 = 4*u - 5*c. Suppose 2*b + 3*f = 102 - u, 4*b - 5*f = 209. Let y = b - 31. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1726*g**2 - 2458*g**2 - 3690*g**2 - 4239*g**2 - 1423*g**2)*(-1 - 4*g + 2*g + 5) to f*g**2 + o*g**3 + b + l*g and give f.\nAnswer: -40336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 60. Solve -z = -1 - b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**2 - 3. Let v(z) = -7*z**2 - 4. Suppose 6*m - 7*m = 0. Let g be -3 - (0 + 1 + m). What is g*b(n) + 3*v(n)?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 145*l = 55*l - 16082. Solve 0 = 50*i - l*i + 144 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2. Let r be (888\/(-16))\/((-1)\/(-2)). Let q = 116 + r. Let b(m) = 2*m + 5*m - q*m - m. What is z(b(c))?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18213*l - 29045*l + 896*l)*(-2*l**2 - l**2 + l**2) to i*l**2 + v*l**3 + x + w*l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*q - 112408 = -265*q - 39192 for q.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.65169 meters in millimeters?\nAnswer: 46651.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 47, 37, 13, -31, -101, -203?\n\"Answer: -j**3 - j**2 + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 4772002?\nAnswer: 9544004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34, -62, -90?\n\"Answer: -28*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in 3, -0.18, 2\/9?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47.55*77407.\nAnswer: 3680702.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8637)\/(-11516) - 12\/14.\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-9 - 26)) + -43 + 52.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -485 - -481. Let k = -0.1 - -0.3. Which is bigger: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - (2046\/(-540) + -16)) + 30\/27.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.108922 + 20178631?\nAnswer: 20178631.108922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-3)*(-12)\/(-4). List the prime factors of 360\/(-9)*4\/y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16292?\nAnswer: 2, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Which is the nearest to 2\/7? (a) m (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*o - 4. Let y(t) = t. Let h(v) = -2*v**2 + 6*v. Give o*h(q) - 6*y(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2 - 8*s + 5*s - 3*s. Let i be y(-10). Suppose 3*q - 9 - 18 = 2*l, -5*q = l - i. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(3\/5)*g))\/g)\/g**0)**(14\/15)\/((g*g*g**(-2\/17)*g)\/g*g**0*g**7*(g**(3\/4)*g)\/g) assuming g is positive.\nAnswer: g**(-56741\/5100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 331879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 53, 87, 171, 329, 585, 963, 1487?\n\"Answer: 4*p**3 + p**2 + 3*p + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8274 divided by -1182?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25128 and 468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 less than 658228.35?\nAnswer: 658228.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + k + 669, -2*w + 6*w - 4*k - 1328 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 30860 = 5*p, -107*z - 30862 = -112*z - 4*p. What is the greatest common factor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24861*j**4 + 18989*j.\nAnswer: -298332*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 286 = -298. Let v be (-26)\/13 + (8\/(-3))\/k. Which is smaller: -46 or v?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2556686 and 5?\nAnswer: 12783430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -138 + 6*a + 0*a + 138 to the form m + s*a and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(392) + (sqrt(8) - 5*sqrt(8) - sqrt(8))*-2 + sqrt(8))\/((4*sqrt(16)\/sqrt(4) + sqrt(4) + 5*2*sqrt(4))*6))**2.\nAnswer: 1058\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i. What is the tens digit of 15 + (i - 2) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w**2 - 5 + 4*w - 13*w + 4*w. Let k(b) = 7*b**2 + 6*b + 6. Give 5*k(c) + 6*x(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*f - 29, -14*f + 9*f = 3*n + 53. Let l(m) = -10*m - 37. Calculate l(n).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -9*o**5\/20 - 47*o**4\/12 + 6*o**2 - 10. Find the second derivative of f(x) wrt x.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 10*f**2 + 2*f - 9. Calculate h(3).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*785.\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1.2. What is the third biggest value in 1\/14, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + -104b70?\nAnswer: -104b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 9:52 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 13*l**2 + 859*l + 70. Let q be c(-66). Solve -9 = q*n - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28267 = 4*i - 91697. Suppose 0 = k + 3*g + i, -4*k + 5*g - 4*g - 120003 = 0. What is k rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaua when four letters picked without replacement from uaakujvaaaavkkk?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*k**3 - 2*k + 15*k**3 + 3*k**4 + (34*k**2 - 5*k**2 + 0*k**2 + (-k**2 + 2*k**2 + k**2)*(2 + 4 - 4))*(5*k**2 - 5*k + 5*k).\nAnswer: 168*k**4 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 - 57 = -3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*k = -110, -z + 23 = -5*k + 1. Calculate the highest common factor of z and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hc when two letters picked without replacement from hhghghhhghhcgh?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 111110111000?\nAnswer: 111110110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-14)*(-12)\/(-24).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/7, -1043, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 702140200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28220310 and 2070?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 23*t**6\/60 - 7*t**5\/20 - 23*t**4\/8 + 7*t**3\/3 - 104*t**2. Let m be q(23). Round m to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79663\/2 + 39831. Let z = -149\/24 - -19\/3. Which is the fourth smallest value? (a) z (b) 4 (c) 5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*g - 1)*(-99 + 83 + 59 - 158 - 170).\nAnswer: -855*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-90))\/((-9)\/5)*(-27)\/(-15)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + -1.96. Let v = 18.8 + -24. Let y = v - -5. What is the nearest to d in y, 2\/7, 3\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 12 = 3. Suppose -3*g - p = -2*g. Put g, 1, -4 in ascending order.\nAnswer: -4, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -13\/2 (b) 0.3 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmpmmmp. Give prob of picking 1 m and 2 p.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*t + 20, t + 0*v - 4 = -2*v. Let m(g) be the second derivative of g**5\/20 + 5*g**4\/12 - 5*g**3\/6 - 3*g**2\/2 - 20*g. Calculate m(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.17, 4, 0.2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1247521, -1247514, -1247503, -1247488?\n\"Answer: 2*g**2 + g - 1247524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381177939 divided by -3.\nAnswer: 127059313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-402)\/14874)\/((-4)\/148)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20020210111000 (base 3) to base 11.\nAnswer: -196a198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -695 + -4c?\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - -5.9. Let v = 6.0014 - k. Round v to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, -1390, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 23*w**2 - 7*w - 3 - 4 + 16. List the prime factors of c(2).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 406, 1, -11\/2, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11433*v**3 - 11581*v**2 + v wrt v?\nAnswer: 68598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 2. Suppose 0 = 4*b - h - 105, 8*b - 3*h - 140 = 3*b. Solve x + b = m*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1980 and 11790180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x. Let c(f) = -1186*f - 453. Determine a(c(l)).\nAnswer: 2372*l + 906","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(80) - (1*sqrt(80) - sqrt(80)))*4)\/(sqrt(256) - -2*sqrt(256)))*4.\nAnswer: -20 + 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119 + -110. Suppose -b*y + 16 = -7*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 181123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 4, -5, -4, 3, 20 in increasing order.\nAnswer: -5, -4, 0, 3, 4, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a century in months?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1326 and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 t when three letters picked without replacement from xhttttttt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 0 - 5)*(1 + 1 + 0)*(1 - 11 + 22)*(-2*s**3 - 3*s**3 + 7*s**3).\nAnswer: -672*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(52)\/(sqrt(12)\/sqrt(3)) - sqrt(13) - sqrt(13)) - (-1*sqrt(143)*2)\/sqrt(11) - -5*(sqrt(468) + 2 - ((3*sqrt(13) + sqrt(13))**2 + 0)).\nAnswer: -1032 + 31*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y + 146 + 44 = -74 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/648 and -157\/441090.\nAnswer: 15879240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2452 + -2313. Suppose 6 = 2*w + 2. Suppose 2*t - b = y, -t + 211 = w*t - y. Calculate the remainder when t is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*k - 3. Find the common denominator of (14\/(-16))\/(k\/(-54)) and -29\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42154512 (base 6) to base 9.\nAnswer: -2271888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21311 (base 4) to base 6.\nAnswer: -2525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4 + 35576*b**3 - 35562*b**2 - 213444*b = 0 for b.\nAnswer: -2, 0, 3, 17787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4045 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1911201871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6783 divided by -10212\nAnswer: 2261\/3404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 81340.05 millimeters in meters?\nAnswer: 81.34005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 81*l**3 - 38*l**2 - 70*l + 28. What are the prime factors of g(8)?\nAnswer: 2, 3, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720692299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1019540 = -33029*z + 33010*z. List the prime factors of z.\nAnswer: 2, 5, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -204 - -345. Let i = u - 141.3. Is -35 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 4*z**2 + 3*z. Let j be r(-2). Let q be -1*(j\/1)\/2. Which is bigger: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-132)\/(-36) + (-4)\/6. Suppose 4*p + p - 2 = 3*w, i*w = 2*p + 1. Put w, 1\/2, -0.3 in descending order.\nAnswer: w, 1\/2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/8)\/(-5 - -1). Suppose y = 17*i + 15*i - 8640. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 76*t**2 + 9*t - 4. Let n(y) = 224*y**2 + 25*y - 11. What is 4*n(k) - 11*v(k)?\nAnswer: 60*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -460, -459, -458, -457, -456, -455?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 3)*(6*q - 7 + 7)*(5*q + 2*q - 3*q) + 0*q**2 + 2*q**2 - 4*q**2 to the form t*q**2 + x*q + w and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6732?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i - 9*i + 132314 = 0. List the prime factors of i.\nAnswer: 2, 13, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370947172 is divided by 102.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*b - 11. Let t(q) = -5*q + 4. Determine t(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333.9615 decades in millennia?\nAnswer: 3.339615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 130 - 133 = y, -5*n = 2*y + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 7 + 17 = 0. Factor -9*v - v**2 + 2*v + p*v**2 + v.\nAnswer: 3*v*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**5 + 22*b**4 - 288*b**3 - 478*b**2 + 308*b = 0.\nAnswer: -11, -2, 0, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7415574, -14831151, -22246730, -29662311, -37077894, -44493479, -51909066?\n\"Answer: -c**2 - 7415574*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1848 and -3.7?\nAnswer: -0.68376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, y: 1}. Give prob of sequence yey.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -19 + (9084\/756 - -7). Which is the nearest to -4? (a) -1\/2 (b) l (c) 0 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 6*l - 6. Let s be u(5). Let c = s + 394. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4234231 (base 5) to base 16.\nAnswer: 11617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 461 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*((-39)\/15 - -2). Suppose -4*y + 27 = 4*z + h, z = 4*y + 1. Suppose 0 = z*i - 45. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t. Let l = 31 + -35. Let w be l - (-3 - -4)*-6. Let d(u) = -50*u**2 + 23*u**2 + 26*u**w. Determine d(g(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n - 12. Calculate i(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 13) to base 8.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 105544032?\nAnswer: 105544042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283.19 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - -25. Let k = i + -36.6. Which is greater: k or -1\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -462 + 183. Let a be (221\/2)\/((-5)\/(-20)). Let i = l + a. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 71, 70, 69, 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014562 to five decimal places.\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -110*p*r**3 + p*r - 2457*p wrt r?\nAnswer: -330*p*r**2 + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + t + t + 45 + 14*t - t**2 - 12*t. What is the remainder when 67 is divided by y(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 51492.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200296164 is divided by 103.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**4\/24 + t**3\/6 - t**2. Let j = -15 + 19. What are the prime factors of v(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-44)*2*6\/(-9)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97962289 equal to 97962288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + (sqrt(2299)*1)**2 - sqrt(2299))*-3 + sqrt(2299) + sqrt(2299) + (0 + sqrt(2299))**2 + sqrt(2299) + -5 - (sqrt(2299)*2*-3 + 3).\nAnswer: -4606 + 99*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15016 - -21760. What are the prime factors of a?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 667161 is divided by 415?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -312, -1018, -2190, -3822, -5908, -8442, -11418?\n\"Answer: u**3 - 239*u**2 + 4*u - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*t + 15. Suppose -14 = 4*d - 3*f, -4*d = -9*d + 3*f - 19. Put t, d, 11 in ascending order.\nAnswer: d, t, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 898 a factor of 87967182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.3955 - 0.1055. Let f = 12.378 - o. Let m = f + -0.088. Which is the third smallest value? (a) -1\/3 (b) m (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - 4 - -4 - 3 - (6 - 14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 746009.\nAnswer: 3730045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-18)*k**(-3\/8))\/((k\/(k*((k**(4\/9)\/k)\/k)\/k*k)*k)\/((k*k**22)\/k)) assuming k is positive.\nAnswer: k**(77\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 10:20 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523314382.\nAnswer: 2, 261657191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31\/13 or -3\/14?\nAnswer: 31\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + -9. Let t = -5.7 + 8.9. Let c = 4.2 - t. Which is smaller: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4172326683 + -2310.\nAnswer: -4172328993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-140)\/7)\/5)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 570 = z - 2619, 4*m + 4*z - 1652 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxlknekdnndklx. What is prob of picking 1 e, 1 n, and 1 x?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9 + -4. Let m = -9 + 14. Which is the closest to j? (a) 0.3 (b) 5\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575.4679 millilitres in litres?\nAnswer: 0.5754679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2154, -1\/6, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 45*x + 72 - 134.\nAnswer: 45*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 9 + 3, 3*y = l - 13. Suppose 0 = x + 5*w - l - 1, -w + 1 = -x. Solve -9 = -2*a - 3*k - 2, x = -5*a - 4*k + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45122 - -45120. Let i = 2 - 3. Suppose 6*y - 2*y - 16 = 0. What is the third biggest value in i, y, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*p + 36, 260*u - 45 = -p + 265*u. Let t(a) be the second derivative of 28*a + 1\/3*a**4 + p*a**2 + 0*a**3 + 0. Let m(y) = 2*y. What is m(t(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 j when three letters picked without replacement from xgjgxdddxdjdd.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87291754 and 1474.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a189 - -a527?\nAnswer: -1b862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w*w\/((w\/w**(2\/5))\/w))\/w))\/w*w)**46*(w*w**(-2\/17))\/(w*w**(-1\/17)*w) assuming w is positive.\nAnswer: w**(-5564\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -49*(2 + 3)*(-96)\/80. What is the highest common factor of l and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -9*h**3 - 3*h**2 + 4*h - 167. Let f(i) = -2*i**3 + i + 1. Let j(k) = -a(k) + 4*f(k). Does 19 divide j(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 28. Sort 5, z, -2 in ascending order.\nAnswer: z, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10000 - 20110010011?\nAnswer: -20110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*f**3 + 2 - 2*f**2 - f**4 + 6*f**2 + 0*f**2 - 3*f**2 - 3*f**2 to the form m*f + i + l*f**2 + c*f**3 + u*f**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**4\/7 + 2238*v**3\/7 + 2236*v**2\/7 = 0.\nAnswer: -1118, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 103?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/39821 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8526 is divided by 5895?\nAnswer: 2631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/17*s**4 + 10\/17*s**2 - 8\/17*s**3 - 4\/17*s.\nAnswer: 2*s*(s - 2)*(s - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.17328 centimeters to millimeters.\nAnswer: 591.7328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -5*n**4\/2 + 87*n**2\/2 + 8588*n - 4551. Differentiate c(o) with respect to o.\nAnswer: -30*o**2 + 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 656\/5 (b) -0.02 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2562027, 4, -2\/17 in decreasing order.\nAnswer: 2562027, 4, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.5997 + 1.3129. Let g = -2.025 - m. Let o = 1.22 - g. What is o rounded to 3 decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 65*k**2 - 4*k + 23. Let y = -28 + 31. Let n(x) = 64*x**2 - 3*x + 22. Let s(l) = y*p(l) - 4*n(l). What is the first derivative of s(c) wrt c?\nAnswer: -122*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6544 and 1055824.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4109 != -4109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33.88 + 33. Let k = 8.52 - s. Round k to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4499*d + 3756658. What is w(-835)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3763 or -3616?\nAnswer: -3616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**2\/7 + 8686*a\/7 - 2619084\/7 = 0.\nAnswer: 326, 4017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52782 = -813*u - 15384 for u.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0*n + n)*(0 - 1 + 0) + 2*n - 8*n - 9*n.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107426929*f**6 - 10*f**2 + 22*f - 93079.\nAnswer: -12891231480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02083265 rounded to 5 decimal places?\nAnswer: 0.02083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**5\/60 - 5*q**4\/24 - q**3\/6 - 244*q**2. Give b(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/110 - (-718)\/(-3828). Let q = -1447\/522 + c. What is the common denominator of q and -92\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 3*t - 17 = 0, 5*u + 8*t + 21 = 4*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/((-8)\/5 + (-58)\/145). Solve p*g = 2*g + 4*d - 4, -3*g + 12 = 3*d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1247*j**2 + 621*j**2 + 627*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11024132, -22048297, -33072462, -44096627, -55120792, -66144957?\n\"Answer: -11024165*h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2736417 and 2649.\nAnswer: 2649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 - 372*k**2 + 2*k - 4*k - 3 + 370*k**2 to b*k**3 + r*k**2 + x + m*k and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 641982\/639*6\/44?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 6. Let d(w) = v*w**2 + 0*w**2 - 4*w**2. Let l(z) = z. Determine l(d(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(23\/4 + -2). Let t = 34\/15 - w. Which is the second smallest value? (a) t (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 30*x + 1415. Let u be o(-47). Sort 3, -4, u, -10, 2.\nAnswer: -10, -4, 2, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -94*o + 185. What is y(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98.91075 + 0.08925. Which is the biggest value? (a) 1\/4 (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g**6)\/g*g*g**(-6\/11)*g)\/((((g*g**(-4))\/g)\/g)\/g*g\/g**(1\/5)))\/(g\/g**1*g**(-1)*(g**(2\/5))**1) assuming g is positive.\nAnswer: g**(784\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 2820 = -6*c. Calculate the remainder when c is divided by ((-416)\/48)\/(1 - (-5)\/(-3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -350 + 739. Let n = t - -131. What is the first derivative of 1045 - n - 2*q - 515 wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a - 2. Suppose 14 = 4*s - 6. Let d(h) = -5*h - 5 + 0 + 14*h + 2. Let l(j) = s*d(j) - 8*b(j). Differentiate l(z) wrt z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2. Let v(q) = -17596359*q. Calculate n(v(s)).\nAnswer: 309631850056881*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -52, -3, -5 in descending order.\nAnswer: 3, -3, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*-1*sqrt(99))\/sqrt(3))\/(1*2*sqrt(396)))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 62421582?\nAnswer: 1\/20807194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53863 = 2384*z - 15719 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1\/722 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-312)\/26 + 25 + (13 - 23)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3 + 6*g - 14*g + 0 + 8*g**2 + g**3. Let b be r(-8). Suppose -f = -b - 22. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-434 + 598 - 518)*(2*l**4 + l**4 + l**4) + 3*l - 3*l - 2*l**4 as w*l**3 + f + o*l**2 + i*l + m*l**4 and give m.\nAnswer: -1418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1117, 1, -0.5, 0.1.\nAnswer: -1117, -0.5, -0.1, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 7*b**2 + 6*b - 23. Let m be q(7). Let z(p) = 12*p - 60. Let s be z(m). What is the greatest common divisor of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 1355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/f**(2\/3))**(-2)*(f*(f*f\/((f**(2\/7)*f)\/f))\/f*f)**2 assuming f is positive.\nAnswer: f**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -24491500 to the nearest 100000.\nAnswer: -24500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1315 or -5\/6?\nAnswer: 1315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-1\/2)\/x))**(7\/6)\/((x\/x**(-17))\/(x\/x**(1\/8))) assuming x is positive.\nAnswer: x**(-341\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 32 = 4*t. What is the closest to -2 in -0.5, t, 0.07?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 6*u**3 - 8*u**3 - 14 - 2*u**2 to s*u**2 + k*u + z + o*u**3 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 13*v**2 + 13*v + 17. Let l be z(14). Solve 0*n = -4*n - b + 16, -3*n + 12 = l*b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 353496 and 192?\nAnswer: 2827968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 100536\/1416 - (21 - -1)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4626 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1545*q**3*v**2 - 10*q**3 + 2*q**2 + 105*v**3 + 2674 with respect to v.\nAnswer: 3090*q**3*v + 315*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.1 (b) 76 (c) -4 (d) -18\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 19*m - 1. Let t(s) = -115*s - 25. Let h(n) = t(n) + 6*w(n). Let i(r) = 16. Calculate -2*h(u) - 5*i(u).\nAnswer: 2*u - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5935.357ug?\nAnswer: 5.935357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 21*p - 20. Let l be h(2). Suppose 7*b - 174 = -l*b. Solve 9*g + 24 = b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/6, 0, -0.2, -5, 3.\nAnswer: -5, -7\/6, -0.2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233345 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 705034, 705120, 705218, 705334, 705474, 705644, 705850, 706098?\n\"Answer: h**3 + 79*h + 704954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9*n + 183. Is 11 a factor of a(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 = p - 3*p. Let w = p + -49. Is w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.6, 1, 13\/6, -17, 0.037 in ascending order.\nAnswer: -17, -1.6, 0.037, 1, 13\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*-39*5\/30*4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -24.\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2583*q**2 + 260887*q - 23. Determine l(-101).\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 5. Suppose u*m = -5*z + 1102, -5*m + 1101 = 5*z - 4*m. Let b = 46 - 26. Calculate the greatest common divisor of b and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*t**3 - 8*t**3 - 4*t**3 + t - t**2 as p*t + x + v*t**2 + h*t**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -3) + -5 + 16 + 12 + -64.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7947088 and 236?\nAnswer: 468878192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 - 2387*j**2 - 1178*j - 19154. What is n(1194)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 712 - 658?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*r - 144. Let o = -20 + r. Suppose x - k - o = 4*x, -3*k - 20 = 5*x. Let f(w) = w**3 + 8*w**2 + 6*w - 9. Determine f(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 + -88.5. What is the fourth smallest value in -5, -4, 31\/4, t?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 20 = -14*s. Suppose -q = 4*r - 18186, 4*r - s*q - 20614 = -2418. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*j - 5*n - 49 = 0, 2328*j = 2332*j + 3*n + 2*n - 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1306 - 1302. What is the second smallest value in -0.3, u, 94?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 148100 = 6*c. Suppose -11*t + c = -t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3308223 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*b - 10 = 6*f + 102*b - 34, 3*f = -3*b + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -229.3\nAnswer: 232.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*j**3 + 3*j - 378*j**3 - 2*j.\nAnswer: -647*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 15. Solve -3*z + 0 = n*p - 5, -p - 2*z + 3 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 3*s + 7 - 9.\nAnswer: 3*s - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 10 = -7*p + 10*p, -40 = 4*p + 4*i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 576 + 381 = 5*u, 0 = -3*u - 3*r + 558. Let k(l) = 36 - 40 + 16 - 3*l. Let p be k(-5). What is the greatest common factor of u and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*v - 0*m - 4*m, 0 = 5*v + 2*m - 9. Solve 3\/5*i**5 + 6\/5*i**2 - 3\/5*i + 0 - 6\/5*i**4 + 0*i**v = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/9)\/2*-183. Suppose 5*y + 11 = c. What is the remainder when (-4)\/18 + 508\/18 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 2*w + 4 + 8 - 4*w**4 - w**3 + 3*w**4 to the form n*w**2 + k*w**4 + h*w**3 + m + f*w and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*z**3 - 3*z**2 - 5*z - 42935 wrt z.\nAnswer: -12*z**2 - 6*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**3 - 1 + 1)*(14 - 13*f - 14) + ((-2 + 2 - 1)*(-f**2 + 3 - 3) + 4 - 4 + f**2)*(-8*f**2 + f**2 - f**2).\nAnswer: -107*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 111953323 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -473.588 + 513.5797. Let g = -0.0083 - y. Put -2\/7, 0.1, 3\/2, g in ascending order.\nAnswer: g, -2\/7, 0.1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-5))\/(-1*2\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 122342394.\nAnswer: 122342394.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7394952 and 57.\nAnswer: 7394952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 25 + 115. Let q be (-1)\/((-1)\/(-340)*8\/o). Let c = 2451 - q. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344467189 to the power of 1\/2, to the nearest integer?\nAnswer: 18560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -1290*t + 51. Let x(z) = -645*z + 31. What is -3*r(w) + 5*x(w)?\nAnswer: 645*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/100 (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*t - 108*t + y + 316389 = 0, y = 3*t - 189835. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 4.3. Let o = q - 3.9. Let v = -0.9 - o. Which is smaller: -2\/21 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-5)*(-6 + 11). Suppose 3 = -3*a, -n + t*a = 2*a - 4. Calculate the least common multiple of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + (15 - (61 - 5))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmzzg. Give prob of sequence zm.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 127*m**8\/336 + m**4\/8 - 4*m**3\/3 + 140*m**2. What is the second derivative of w(l) wrt l?\nAnswer: 2540*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 57\/15 - 2\/(-10). What is the derivative of 2 + 0*p**4 + 1 + 3*p**k wrt p?\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6510 is divided by 6472.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84067589 is divided by 4138?\nAnswer: 4119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*c**4 - 155*c**3 + 72*c**3 - 2*c**2 + 77*c**3 - 31*c**4 + c + 13*c**4 + 2 in the form q*c + g*c**2 + y + o*c**3 + s*c**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 60\/5 + -6 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 3a3?\nAnswer: -3a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 13101?\nAnswer: -13084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 614285 - -616641?\nAnswer: 1230926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2 + 34 = -5*o, 3*x = o - 8. Let u = 10 + o. What is the remainder when 14\/(7 - 7\/((-42)\/(-36))) is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -447*w**2 + 34 - 48 + 3*w - w + 414*w**2 as k + d*w**2 + x*w and give d.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 408 = 3*b. Let f = b - -106. Let j = f + -98. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -262 + 1?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6275*p**2 + 12560*p**2 - 107*p + 37 - 6288*p**2.\nAnswer: -3*p**2 - 107*p + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2420 and 14.\nAnswer: 16940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, s: 6, u: 8}. Give prob of picking 1 u and 2 s.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -29*k**2 - 178*k + 748. Determine a(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 3*a + 0*a)*(-a**4 - 109*a - 2*a**4 + 107*a + 1).\nAnswer: 3*a**5 + 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 131336066 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25a587 (base 13) to base 3.\nAnswer: 1201010222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/(w**(-6)*w*w)))\/(w*w**(-2)))\/((w**15\/w)\/((w*w**(-4)*w)\/w)) assuming w is positive.\nAnswer: w**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b + 34 = -4*m, 4*m - 2 = b. Suppose -b*l - 3*l + 63 = 0. Put -4, l, -5 in ascending order.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -1\/2, -10\/3, -1, -37, 1\/4.\nAnswer: -37, -10\/3, -1, -1\/2, 1\/4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkoioriu. Give prob of picking 1 r, 1 u, and 2 i.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10*c - 16 = 0. Let q(z) = -60*z - 19. What is the tens digit of q(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4653 or 9305\/2?\nAnswer: 4653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 + -0.87. Let k = 0.4 + f. What is the second biggest value in -5, -0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -188*q**2 + 590*q - 14. Let v(g) = 40*g**2 - 118*g + 3. What is -14*v(n) - 3*w(n)?\nAnswer: 4*n**2 - 118*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 20 = -2*z, z = -3*z - 20. Suppose -x - 3*x - c*h = -164, 2*h + 164 = 4*x. Suppose -2*n + x = m - 61, -3*n + 4*m = -175. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**2 + 1\/6*k**3 + 0 + 0*k. Let d(j) be the second derivative of j**3\/6 - 7*j**2\/2 - j - 22. Give d(i) + 6*x(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 0 - (-15)\/5. Suppose g = -p, -p - 36 = -2*s + p. Calculate the smallest common multiple of s and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26108*-0.4218\nAnswer: -11012.3544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 15*d**2 - 11*d - 19. Let h be c(14). Suppose -28*a + 120 = -h*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 159493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1730.8557 seconds in hours?\nAnswer: 0.48079325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4281248821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfppyffvfvyvpp. What is prob of picking 2 f and 1 v?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 5*r - 19 to c*r + i and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -380 + -455?\nAnswer: -845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 596581211?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*b + 7*b - 17*b)*(b - 4*b + b) + (-3*b**2 + 0*b**2 + 4*b**2)*(-3 - 1 + 5) + 2*b + b**2 - 2*b + 0*b**2 + 0*b**2 - b**2 - 3*b - b**2 + 3*b.\nAnswer: 52*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 8 - ((-360)\/(-16))\/5. Let o be ((-6)\/(-8))\/((-20)\/(-28)). Let z = o + -5\/4. What is the nearest to r in 5\/4, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 540\/324 - 32\/3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**3*u**2 + 2*p**3*u - 10233*p**3 + 2*p - 3*u**2 with respect to u.\nAnswer: 2*p**3*u + 2*p**3 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, d: 2, o: 2, b: 1, j: 1, y: 2}. Give prob of picking 1 o and 1 j.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -70827 rounded to the nearest 100?\nAnswer: -70800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -14957, 0, -1, -138 in descending order.\nAnswer: 0, -1, -138, -14957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2354 (base 8) to base 12.\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Suppose -t = t - 6, -5*t + 3 = -k*p. Let z(i) = p*i - 2*i - 6 - 3*i. What is z(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4 + 204*d**3 + 6962*d**2 + 89760*d + 387200 = 0 for d.\nAnswer: -40, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 206729561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**5\/60 + 399*y**2 - 1. Let t(b) = 3*b - 1. What is o(t(w))?\nAnswer: -9*w**2 + 6*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53688264 > 53688264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 6*f + 32. Let a = -14 + f. Suppose -n = a*n - 18. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -4 (c) -0.01 (d) 51 (e) -153.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 19.5. Let d = z + -1.5. Let c = 6.39 + -6.99. Which is smaller: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = p. Let m(j) = 2*j + 4*j + 0*j - j**2 + 6*j**2 + 2 + j**3. Let u be m(-2). Solve -2*f - u*f = -p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2300\/20)\/5 - 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79579346 is divided by 4592.\nAnswer: 4578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*l**3 - 198*l**2 - 4427 wrt l.\nAnswer: -12*l**2 - 396*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1921*40.8.\nAnswer: -78376.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.2 + 13. Let g = -6.8000027 + z. Round g to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(o**2 - 24*o**3 - 66*o**3 + 25*o**3)*(1 - 4 - 4).\nAnswer: -1365*o**3 + 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -51980801 at most as big as -51980801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((1*(0 + sqrt(275)))**2 + sqrt(275))*-5)*-3.\nAnswer: 75*sqrt(11) + 4137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -938 divided by -542?\nAnswer: 469\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, m: 2, v: 2, b: 3, p: 1, i: 1}. What is prob of picking 1 v, 1 l, 1 m, and 1 p?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.053 and -881355.\nAnswer: -46711.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -68*b + 69*b + 2*o, b - 5*o = -21 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2471 + -2372. Solve 18*o = 51*o - b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 1. Let a(h) = -6. Give a(r) + 4*o(r).\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -300*q + 19 + 649*q - 259*q in the form b*q + s and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 882 = 2011. Let i = t + -112. List the prime factors of i.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000409284 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewkw when four letters picked without replacement from ekeewkwekeee.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004264 to 7 decimal places.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * -144.\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30787 - 3*l - 30788 + 20*l**2 + 3*l + 38*l**2.\nAnswer: 58*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - 2*v**2 + 4*v + 5. Let f be u(-3). Let t = f - 18. Let c be (-3 - -2*3) + 9. Are t and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93123, 93124, 93125, 93126, 93127, 93128?\nAnswer: 93129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-10) + (-7)\/(-14) - 51\/(2040\/(-736)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 12 + 0 = 0, g = 3*o - 18. Let y be 13\/65 + 2\/(-10) - -2. Let b(d) = -2 - y*d + o*d - d. What is b(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -4*s**4 + 0*s + 6 + 0*s**3 + 0*s**2 - 12\/5*s**5 + 2\/3*s**6. Factor r(w).\nAnswer: 4*w**3*(w - 4)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**2 + 2*n**3 + 5*n**2 - 2*n**3 - 2*n**3 + 2*n**3 + (2*n + 0*n + n)*(0*n**2 - 6*n**2 + 5*n**2) - 62*n**3 - 53*n**3 + 126*n**3.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(187)*-3)\/sqrt(11).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8818633 or -8818624?\nAnswer: -8818633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1329?\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42, -61, -76, -81, -70?\n\"Answer: p**3 - 4*p**2 - 14*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*q - 22*q + 180 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let i = -58 + 58.4. Suppose -r + 2*r - 10 = 3*p, 4*p + 35 = -3*r. Which is the closest to n? (a) 3 (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370*l + 707*l + 14*l - 392*l.\nAnswer: 699*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2*g - 22 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60495100.\nAnswer: 2, 5, 73, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25058 is divided by 56.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 870480*s**2 - 3481860*s + 3481840.\nAnswer: -5*(s - 174092)*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12 and 1.6.\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 320236 and 32.\nAnswer: 2561888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 4*y - 24, 3*y + 38 = -4*z + 35 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 2, i: 1, s: 1}. What is prob of sequence jj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 5:47 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*r - 54 = 0, 3*d - 23 = -2*r + 9. Calculate the greatest common factor of d and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*s + 12*s + 9*s)*(-38*s**2 - 4*s**2 + 5*s**2) as x*s**2 + y*s**3 + m + i*s and give y.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11601795 at most as big as 11601796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4302 + 15?\nAnswer: -4265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -14*a - 37. Let p(q) = 5*q + 12. Let n(g) = -6*h(g) - 17*p(g). Let r be n(16). Solve 5 = r*j - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7176 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.18 + 1.42. Let p = j - 2. Let s = 0.6 - p. Which is the nearest to s? (a) 5 (b) 3\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -14. Suppose -4*w = -3*s + 89, -2*s + 2*w + 2*w + 58 = r. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 12:32 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o + 1. Let i = 173 - 176. Let l(c) = c. Let y(q) = -2*q. Let x(f) = -5*l(f) - 3*y(f). Calculate i*x(p) - k(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2 - 5292*v - 826091 = 0. What is v?\nAnswer: -5131, -161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a factor of 3315300158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, -17, -46, -87, -140?\n\"Answer: -6*g**2 + g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81 + -83. Let f(t) = -2*t**3 + t - 2. What is f(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 12342*v**2 + 4 - 8 + 19824*v - 19824*v as u*v + c + s*v**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 390479 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - z = 1244, 4*j - 4971 = 48*z - 45*z. Suppose 0 = -j*h + 1236*h + 1773. List the prime factors of h.\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22599?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m - m - m - 7 + 4 in the form a + z*m and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z - 12. Calculate m(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.39 - 0.17. Let x = 1.78 + a. Let m(j) = j**3 - 3*j**2 + 2*j - 3. Let o be m(2). What is the smallest value in x, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095513.\nAnswer: 3, 23, 15877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/160)\/(16\/18*1 - 1).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 561657526 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -49*z. Let h(d) be the first derivative of -3*d**2\/2 + 15. Give r(h(o)).\nAnswer: 147*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465 = 269*v - 274*v. Let r = v + -79. Solve -r = -5*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494274565 to the power of 1\/3, to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 1 - 16)*(3*h - 26*h + 2*h) + 0*h - 5*h + h.\nAnswer: 710*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 10*z - 4. Let p be (z\/(-3))\/(3\/5823). Suppose -8*n + p = -265. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**2 - 94*h - 17. Determine k(-23).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202 - 44 = -38*x - 18 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/84)\/5)\/(3\/6).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 8*n + 6. Let q be o(-7). Let k be 3 - (0 - q - 0). Let l(v) = -6*v**k + 5*v**2 + 0*v**2. Let i(m) = 4*m. Give i(l(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21 - (6 - 1))\/(-2). Let d(n) = -n**3 + 12*n**2 + 7*n + 83. Let i be d(x). Calculate the greatest common divisor of i and 320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211276701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4166, -33389, -112770, -267407, -522398, -902841, -1433834, -2140475?\n\"Answer: -4183*o**3 + 19*o**2 + o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 105*u**2 + 9*u + 8. Let p be z(8). What is p rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q**2 - 10*q + 1. Let z(s) = -2*s**2. Determine d(z(n)).\nAnswer: 28*n**4 + 20*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/499617 and -39\/444104.\nAnswer: 3996936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 + 4*b - 2. Let g be ((-2)\/6)\/(17\/102). Let a be w(g). Suppose y = -a*h + 57, 0 = 4*y + 3*h - 207 - 31. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -837330000 to the nearest one million.\nAnswer: -837000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/117)\/(10\/(-585)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34.2 + 13.3. Let t = 0.1 - p. Let r = t - 20. Which is the nearest to 0.1? (a) r (b) -0.1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 215, 456, 751, 1130, 1623, 2260?\n\"Answer: 5*h**3 - 3*h**2 + 215*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 13*b**2 + 11*b - 4. Calculate k(-11).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 12 - 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(0 + -2 + 3). Suppose -10 = -a*q - q. Let o = q - 10. Solve -2*s = b + 8 - 0, o = 3*b + 2*s + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -41*a**3 + 653*a**2 + 3290*a - 28. What is b(-5)?\nAnswer: 4972","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58452966583 + -54?\nAnswer: 58452966529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 5*r - r - 8*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -104?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2491*h**3*r**5 - 7*h**3*r**4 + 50*h**3*r**2 - 1505*h*r wrt r.\nAnswer: -149460*h**3*r**2 - 168*h**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61 and 243730.4.\nAnswer: -14867554.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*306791.\nAnswer: 1227164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*i - 20. Suppose 3*k - 29 = -4*f, -i*f + 3*k + 14 = k. Solve -f*u = -10, -4*s - 3*u = -u - 24 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4851*f + 4 = -4852*f, f - 16 = 5*u + 20 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1183460 is divided by 473.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 + (4 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.2828134302 + 2.\nAnswer: -32.2828134302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 66. Give n(35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/108940 and 49\/17680?\nAnswer: 7407920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28105 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + 4 + sqrt(80) + 0)*5.\nAnswer: -10 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqavvvaaa. Give prob of sequence aaaa.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4425 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 13 - 7 = 209*i - 213*i, -2*i - 4*w + 10 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/2*i**4 + 4935\/2*i**3 - 2027049\/2*i**2 - 2031987\/2*i.\nAnswer: -3*i*(i - 823)**2*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7\/3)\/r*r)\/r*r*r**7*(r\/r**(-3\/4))**(-22) assuming r is positive.\nAnswer: r**(-203\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 374693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u + 39. Let w(j) = 5*j**2 - 29*j + 29. Let r be w(1). Calculate a(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.7 - 17.8. What is the closest to -8 in 1, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 81900.43 days?\nAnswer: 7076197152000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 4*c - 4. Let x(k) = 3*k - 3. Let v(b) = -3*j(b) + 4*x(b). Let n(g) = -4*g**2. What is 4*n(r) + 6*v(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0212161416 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 11*j**2 + 80*j. Calculate t(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 - 179*s - 10. Let p(a) = -8*a**2 + 186*a + 12. Calculate 2*p(f) + 3*r(f).\nAnswer: -f**2 - 165*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 5*c**2 + 11*c. Give j(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -6\/25 (c) 10.321732\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 424.493385 to 1 decimal place.\nAnswer: 424.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f - 9. Let r be d(4). Solve -5*g = -12 - r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**2 + 3. Let w(z) = 4*z + 7*z - 3*z - 5*z - 2*z. Give c(w(y)).\nAnswer: -5*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1479 divided by -493?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.5, 1.7, 2\/17 in descending order.\nAnswer: 1.7, 0.5, 2\/17, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**5 + 64*q**4 - 288*q**3 + 520*q**2 - 412*q + 120 = 0.\nAnswer: 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 3*j + 5. Let n be (1\/2)\/(-1)*0. Let f = 4 - n. What is the units digit of k(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 2*a - 7*a, a - 2*y = -11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72293 is divided by 492.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*w**3 - 2 + 4)*(2 - 1 + 5).\nAnswer: -12*w**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10 = -5*z + 3*q, 2*z - 24 = -4*q. Suppose -7 = -3*h + z*h. Let j = 1242 - 1237. Which is smaller: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*l + 71*l - 145*l.\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 10, c: 9, x: 1}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 6:00 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 2, p: 2, o: 1}. What is prob of picking 1 p and 1 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 + q + 2. Suppose 0 = -2*r - 2*r + 8. Let j be -2*(-3)\/r*(-4)\/(-6). Give l(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 154*g**2 + 159*g + 23819. Calculate d(156).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-2) + (-3 - -700). Round u to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 900, 1812, 2720, 3624?\nAnswer: 4524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000077042 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1537\/9 - 174. What is the common denominator of j and -47\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**7\/1260 - t**6\/240 + t**5\/36 - 33*t**2. What is d in u(d) = 0?\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -114 - -146. Suppose 12*h + d = -40. Which is the nearest to -1? (a) h (b) 13 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.839 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 9:24 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -8.8. Let h = 3 + -4. Is d greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62.1 + 62. Sort d, -1, -0.5 in descending order.\nAnswer: d, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30520692 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 243572 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17064)\/85320)\/((-1)\/50*-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 42 + i + 0*i.\nAnswer: i - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**10\/75600 - p**6\/720 - p**5\/30 - p**2. Let j(n) be the third derivative of m(n). Differentiate j(g) wrt g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(3\/6) - -3. Suppose -2*n - 2 = 4*g - 74, 0 = -5*g - c*n + 100. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -2*x - 22, -3*x = 2*x + 2*c + 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 710 and 23774705.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -13920000 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 115 = -3*b, -2*b = -b - n - 40. Suppose 2*s = l - 1, 2*l - 3 - 7 = 0. Suppose -2 = -s*m + 28. Calculate the greatest common divisor of m and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 0)*(-4 + 2 + 4) - 3 - 3 + 4 - 1 - 6 + 2)*(0 - 3 + 2 + 1 - 1 + 1 - 1 + 6 - 4 + (-5 + 2 + 2)*(-1 + 1 + 1) + 4 + 1 - 4)*(-5*o - o + 3*o).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147.88 + -151. Let a = q + -1.88. What is the fourth biggest value in -0.5, -2\/9, -3\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/3921 - 41636\/184287. Find the common denominator of i and 71\/18.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (6 - 4 - -1) - 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n - 3 + 3*n - n**3 + 3*n**2 + 0 to the form m*n**2 + x + f*n**3 + w*n and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7127.051ml?\nAnswer: 7.127051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 3505500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 15*q**2 - 102*q + 158. Calculate x(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4 (b) 1 (c) 1\/3 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37595666367 plus -0.03?\nAnswer: 37595666366.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(-3*h + 0*h + 4*h) - 4*h - 5*h - 5*h + (-2*h + 0*h - 4*h)*(-2 + 2 + 1) + 5*h - h - 2*h.\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3520 + -2904. Calculate the smallest common multiple of 88 and o.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 293*w**3 - 295*w**3 + 0*w**2 - 8*w**2 - 2*w + 2 in the form f*w + x + v*w**3 + o*w**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1619 - -1619.1. What is the second smallest value in -2, -3, -5, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*b + 4*b. Suppose 2*n - p - 30 = 3*p, 2*p - b = -4*n. Solve -n*q - 11 = -1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (28\/30)\/7 - (-752543)\/165 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*o + 10*o + 869 = -379 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178204044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 137597734 to the power of 1\/3, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -3621*v**2\/2 + 3690*v + 2167. What is the first derivative of z(m) wrt m?\nAnswer: -3621","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032266091 rounded to four dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43585128 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.2 + 2.8. Let o = 19 - u. Which is the closest to -2? (a) 2 (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9566581?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -571528.0381 - -571488. Let m = -40 - y. Round m to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*r + 1343, r - 2 = -1. What are the prime factors of k?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aanniaihdiaaeeaen. What is prob of sequence he?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1331) + 1 + sqrt(1331) + (sqrt(1331) - (3 + sqrt(1331) + -1)) + sqrt(1331) - ((1 + sqrt(1331))*1 + -4))**2.\nAnswer: 88*sqrt(11) + 5328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**4 - 23220*x**3 - 6264890*x**2 - 414195780*x - 407954115 = 0.\nAnswer: -129, -1, 4903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*k = -57*k - 1872. Let b = -334 - k. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6) + (-16)\/6. Let f = -10300.4 - -10300. Which is the nearest to -0.1? (a) -2\/15 (b) v (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/5 - 30*n - 11536\/5.\nAnswer: (n - 206)*(n + 56)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 10080877 to the nearest one hundred thousand.\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80285\/204 + -1575\/4. Let n = h - -1315\/204. Find the common denominator of n and -14\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(2 - 6) + -3. Suppose 5*t - 16 = t. Suppose -t*p - p = 0. Sort p, -3, s in decreasing order.\nAnswer: s, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9810673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 560601?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -10 in descending order.\nAnswer: 5, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3\/a)**(-10\/9)\/(a**(-1)*a)**(-39))**(-15) assuming a is positive.\nAnswer: a**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.976 + 0.024. What is the second biggest value in 3, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*v = -10, -3*x + 4*x - 2*v - 10 = 0. Suppose -2*w = -1 - 5. Solve 3\/4*s - 3\/4*s**w + 0*s**x + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26115462, -52230921, -78346380, -104461839?\n\"Answer: -26115459*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 376434 divided by 9\nAnswer: 41826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 2\/21, 45.1, 2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-64)*572\/(-130)*(-38)\/209*-444?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*w + (1 + 1 + 4)*(w + 0*w + w))*((-5 + 2 + 1)*(-3 - 1 + 2) - 561 - 221 - 82) as v + b*w and give b.\nAnswer: -12040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3432633384 to the power of 1\/2, to the nearest integer?\nAnswer: 58589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000772958 rounded to 5 dps?\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-15) - (184\/10 - -2). Suppose 0*m + 4*m - 232 = 0. Let o = v + m. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 15*p**3 + 7*p**2 - 3*p - 15. Let s(j) = -28*j**3 - 12*j**2 + 5*j + 27. Let r(l) = 6*s(l) + 11*y(l). Give r(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3529 and -15863977775.\nAnswer: -15863981304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - ((-2 + 0 - 1) + 5)) + (-4584 - -4611).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/6 - 1\/(-3). What is the remainder when 32 + 10 + l*(2 - 3) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Suppose 4*p + j = 39. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.102 from 1949.49088.\nAnswer: 1949.59288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2 - 1018*c + 23364 = 0. Calculate c.\nAnswer: -531, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16891.\nAnswer: 7, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5912976?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (-4104)\/225)*(-245)\/9849\nAnswer: -2\/335","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*w + h, 8*w - 3*h = 7*w + 3. Let k(x) = 9*x**3 + 3*x + 10. Let z(c) = 10*c**3 + 4*c + 11. Give w*z(v) - 7*k(v).\nAnswer: -3*v**3 + 3*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3558579 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.17377 * 0.069\nAnswer: 0.01199013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 13) to base 5\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {f: 2, d: 3, e: 13}.\nAnswer: 26\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 (base 5) in base 2?\nAnswer: 10000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1331046, 2662123, 3993200, 5324277?\nAnswer: 6655354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.94 + -10. Let h = -1.16 - n. Let g = h - -3.1. Which is smaller: -12 or g?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/8)\/((-13)\/52). Let k(i) = i - 9. Let y be k(h). Let c(x) = x + 19. Is 10 a factor of c(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*k - 5*k - 1499992, -5*w = -5*k - 1499980. What is k rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -32. Suppose c = 30*q - 24*q. Suppose 0 = 5*s - s - 8, -4*d - 2*s + 20 = q. Solve 5*n + d*j - 30 = 0, -11 = -3*n - 2*j + j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**3 - 19*u**2 - 7*u - 15. Let a(z) = -z**3 - 6*z**2 - 2*z - 5. Let n(h) = 7*a(h) - 2*b(h). Let t be n(5). Solve 7*x - 2*x - t = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnnnvlcynnqnynnnyc. What is prob of picking 1 n, 2 y, and 1 q?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 47 = -4*t + 2*a, -5*t - 100 = 2*a. Let b = -8 - t. Calculate the greatest common divisor of b and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*a = 10, -3*o = 5*a + 1078. Let t = -165 - o. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 + -36. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y. Let v be l(-8). Let a = v + -95. List the prime factors of (-12)\/(-18) + a\/(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 361*r**2 + 983136*r + 669360384.\nAnswer: (19*r + 25872)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 466629707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17425080.\nAnswer: 2, 3, 5, 97, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 2*h - 2*h)*(h**2 + 0 + 0)*(0 - 3 + 10) + 3*h**3 + 6 - 6 in the form j*h**2 + a + z*h + w*h**3 and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5864 + 240439\/41. Which is the nearest to 1\/2? (a) -1\/5 (b) q (c) -0.4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96027.\nAnswer: 3, 32009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -53, -331, 4, -2 in decreasing order.\nAnswer: 4, -2, -9, -53, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, m: 1, n: 2, i: 2, z: 1}. Give prob of sequence ms.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 40*y**2 + 123*y - 1774. What is q(38)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6340663 is divided by 618.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1921 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 2*p + 2 - 8, -4*q + 4*p + 24 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**5\/2 + 16*c**4 - 25*c**3\/2 - 75*c**2 + 26*c + 44 = 0.\nAnswer: -11, -2, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**3 + s - 1. Let t be u(1). Let l = 0.1 - 0.1. Let j = l - 1. What is the biggest value in t, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l - 91 = 59, -5*l + 254 = 4*n + 43 for n.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 11130 - w**3 - 2*w**4 + 24*w**5 - 11130 + (w**3 - 4 + 4)*(-w**2 - 4 + 4) + 5*w - w**5 - 5*w + 8*w**4 + 7*w**5 - 8*w**4.\nAnswer: 29*w**5 - 2*w**4 - w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 63 - (16 + -1 + -5 + 2).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95055300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87492215 is divided by 10936525?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17\/34*(-6)\/(-3)*19\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-1 - (-3)\/(-9)). Let g(u) = -f + 2 + u**2 + 0*u - 1 - 2*u. Give g(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -3*b - 5, -4*b + 18 = -3*w - 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 11 + 9. Let d be o\/(-18) - (-68)\/18. Suppose 3*p - 131 = -4*l, -89 = -2*l + d*p - 7. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -5 in descending order.\nAnswer: 6, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r. Let g(c) = -10*c**2 + 24*c - 24. Let d(z) = -7*z**2 + 16*z - 16. Let s(v) = -7*d(v) + 5*g(v). Let x be s(6). Give j(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 108.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59887480007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**5*j**2 - 4*g**2*j**3 - 2*g*j**2 + 119*j**3 wrt g?\nAnswer: -40*g**3*j**2 - 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121327517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/8 - 511*b\/4 - 261121\/8 = 0.\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 7*s = -240. Calculate the highest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8*q - t - 10 = 0, q + t - 2 = 0. Suppose -2058 = -5*r - 2*w, -q*w + 821 = 3*r - r. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7052, 14105, 21158, 28211, 35264?\n\"Answer: 7053*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**5\/20 + 5*y**4\/12 - y**3 + y**2\/2 - 5*y + 6. Let n = 37 + -43. Calculate u(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-164)\/3)\/(3\/9). What is the tens digit of (-22)\/(-33) + a\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**2\/4 - 2541*a\/2 - 705501\/4 = 0?\nAnswer: -129, 1823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2782 - -4020. Let n = v - 1238.0001437. What is n rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 25 - 8*i**4 + 6*i**2 + 6*i**3 - 2*i + 10*i - 19. Let s(f) = f**3 + f**2 + f + 1. Let p(k) = 6*s(k) - v(k). Find the second derivative of p(n) wrt n.\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 8457*q**2 + 2*q - 1. Is i(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 52800?\nAnswer: 52800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 20*v + 75 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95 * 0.5.\nAnswer: 47.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 5. Suppose -4*o - 6 - 28 = 3*s, 5*o = 2*s - 8. Let b be c(s). Let d be 6\/(-18)*12*b. Solve d*g - 2*g + 4 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2035211045 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259605183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -57*l**3 + 2*l**2 - 5*l + 7. Calculate the remainder when r(-3) is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -253, -507, -761, -1015, -1269?\n\"Answer: -254*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**4\/9 + 2132*d**3\/9 - 196378*d**2\/9 + 1393600*d\/9 + 1196600\/3 = 0.\nAnswer: -2, 10, 93, 965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2813374?\nAnswer: 2, 31, 45377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from {a: 6, j: 7, f: 6}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 563282 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 6*o + o)*(3*o**3 + 7*o**4 - 2*o**2 - 24*o**4 + 20*o**4).\nAnswer: -9*o**5 - 9*o**4 + 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-111)\/((-2898)\/(690\/(-5)))?\nAnswer: -37\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 526*x**2 + 21*x - 7. Let m(f) = 350*f**2 + 15*f - 5. Let l(t) = 7*m(t) - 5*y(t). Let v(h) = -17*h**2. Determine v(l(k)).\nAnswer: -550800*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1053965840?\nAnswer: 2, 5, 13174573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 722*w - 722*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/60 and -61\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144020 and 115216?\nAnswer: 576080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 121*h**3 - 2*h**2 - 11*h + 1. Let j(v) = -121*v**3 + v**2 + 10*v - 1. Let s(f) = -3*d(f) - 4*j(f). What are the prime factors of s(2)?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-152)\/20)\/(4\/(-10)). List the prime factors of (v\/(-3))\/((-9)\/27).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3 - 4 + 0)*(-2 + 1 - 4)*(c - 3*c - c).\nAnswer: -30*c**2 - 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11215, 22487, 33799, 45151?\nAnswer: 56543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -57*w**3 - 5*w**2 + 4*w + 12. Let f be u(-5). Suppose 0 = -3*v + 5*i + 23980, v + 3*i = 1020 + f. Suppose s = -3*s - v. Round s to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -619 + 619. Suppose -4*b = b + 2*q + 1, 3*q + 11 = 2*b. Solve -2*t + b + 9 = p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c + 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49699318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1123159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-3 - (-4 - (-4 - -3)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 - 20978*h + 7871496. Give s(357).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 339035 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k - k**3 - 13*k + 2*k**2 + 33*k = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3327*q = -3340*q + 65 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/33*(-1)\/2\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163519691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 35 = 3*w + 24, j = 3*w + 44. Let p = -1 + -9. Let t = p - w. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 48897 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 15 = 10*j, 303 = 2*t - 3*j. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 + -244?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1807, 14399, 48565, 115093, 224771, 388387?\nAnswer: 616729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 7:42 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13202*h + 16234*h + 17723*h + 58528*h + 62829*h.\nAnswer: 168516*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*k + 279*k - 1013068 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 15 - 32353*k + 25.\nAnswer: -32353*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34437 and 103311.\nAnswer: 103311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 22. Calculate the common denominator of 4615\/208*3\/30 and s(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*t = 20, 0*w - 4*t - 18 = -w. Let p = 13 - 11. Find the first derivative of -3*r**2 + 2*r**2 + w - 5*r**p wrt r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 2. Let g = 22 + -22. Suppose -5 + g = j. Let k(y) = 3*y**3 - y**2 + y + 5. Give j*w(a) + 2*k(a).\nAnswer: a**3 - 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 217245 to the power of 1\/2, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -349*b - 252 + 6409 + 2219 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -78, -3 in decreasing order.\nAnswer: 3, -2, -3, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 922, 1564, 2206?\n\"Answer: 642*h + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) -0.14 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2479 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 1. Let a(i) = 222 - 53 - 61 - 53 - 60 - 6*i. Determine -a(v) + 4*z(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**4\/2 + 162*n**3 - 2889*n**2 + 12738*n + 31581\/2 = 0. Calculate n.\nAnswer: -1, 11, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 388643 divided by -2183\nAnswer: -388643\/2183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5)*v\/v**4*v*v*v**(-3\/5)\/v*v*(v**8*v)\/v)**(-33))**47 assuming v is positive.\nAnswer: v**(-10857\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5707326280?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9662045 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/89)*y*y\/(y*y**23\/y*y)*y assuming y is positive.\nAnswer: y**(-1867\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1136, -2260, -3384?\n\"Answer: -1124*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42651420 + 1?\nAnswer: 42651421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -9\/20*b**5 - 1\/2*b**3 - 1\/10*b**6 - 2*b**2 - 3\/4*b**4 + 0*b - 5. Let r(k) be the second derivative of v(k). Factor r(q).\nAnswer: -3*(q + 1)**2*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 899 + -635. Suppose 0 = 2*f + 2*f - r. Suppose 3*y - 15 = f. Calculate the remainder when y is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + -4.7. Let y = k - -4. Let b = y + -0.1. What is the biggest value in -0.4, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**7\/525 + a**6\/450 + a**5\/150 - 9*a**3\/2 + 38*a**2. Let i(w) be the first derivative of s(w). Solve i(c) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s - 20*s**2 + 13*s**2 - 2*s**2 + 8*s**2. Let x(r) = -r**2 + 3 - r - 13 + 9. Calculate -m(w) + 2*x(w).\nAnswer: -w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3\/3 + 29149114*q**2\/3 - 87447356*q\/3 + 58298240\/3 = 0.\nAnswer: -14574560, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*b + 3, -3*x + 0*x + 9 = 5*b. Let d be -2*(-2 - b\/(-3)). Solve 6\/5*h**d - 8\/5*h + 2\/5 = 0 for h.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7084.1635 rounded to the nearest 100?\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 795.3 - 799.3. Which is the third smallest value? (a) -17\/5 (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -64*q - 1. Determine t(1).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 135.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -0*w + w + 14, -k + 2 = 3*w. Let p = w + 0. What is the units digit of 4\/(p + 0 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/27)\/(19\/171)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 5:06 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351284293.\nAnswer: 19, 197, 93851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0*i**6 + 2*i**2 + 0*i + 0*i**3 + 0 + 1\/30*i**5 + 0*i**4 + 0*i**7 + 1\/168*i**8. Find the third derivative of p(n) wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-5))\/f**(-6\/5))**(1\/10)*(f\/(((f*f**(-1)\/f*f)\/f)\/f))**(-1\/3)*f*f**(1\/8)*f*f\/f**(2\/7) assuming f is positive.\nAnswer: f**(3583\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2498 + 2498. Let y(s) be the second derivative of -1\/30*s**6 + 0*s**5 - s**4 + i*s**2 - 13*s + 0*s**3 + 0. What is the third derivative of y(k) wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29341 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: Calculate the remainder when 199 is divided by 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -200, -246, -266, -254, -204?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of q**3\/3 + 3*q**2 - 2*q + 638. Let f = -3 - 3. What is v(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 3*s**2 + s - 1. Let q be o(3). Suppose -q*i = 3*i + 2*m - 70, 60 = 5*i + 4*m. Factor 17*n + i*n - 11*n - 8 + 6*n**2.\nAnswer: 2*(n + 4)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yttg when four letters picked without replacement from tytg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10001011100111100010010011?\nAnswer: 10001011100111100010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43303 - -2?\nAnswer: 43305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8650 - 8754. Let n = -93 + 27. Let m = n - p. Which is the smallest value? (a) -0.4 (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12583 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6439072 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*r + 2*d, 6 - 14 = -3*r - d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 6*x - 40. Solve -3*m - x = 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3675.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)*-1)\/sqrt(5) - 4*sqrt(1872))\/(-3*sqrt(484)*1*-4).\nAnswer: -25*sqrt(13)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -84, -35, 108, 393, 868?\n\"Answer: 8*c**3 - c**2 - 4*c - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 424\/9. Which is the nearest to -1\/3? (a) -0.5 (b) 16 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -16*r + 871. What is p(53)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292834 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44108847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -182? (a) -6 (b) -5 (c) -3 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from teeeet. Give prob of picking 1 t and 2 e.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, 37, 92, 169, 268, 389, 532?\n\"Answer: 11*v**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*z = h - 128*z + 8, -z = 5*h + 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -r - 65. Suppose r*y + 794 - 9335 = 0. Round y to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 776170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k + 20. Let x(v) = 1462*v**2. Give x(r(i)).\nAnswer: 36550*i**2 + 292400*i + 584800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 103984*l + 2 - 2 - 104082*l in the form d*l + p and give d.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 82621883 - 60.5\nAnswer: 82621822.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 12 - 10 + 0.\nAnswer: 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24994 and 9.7.\nAnswer: -242441.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/600 and 19\/14625.\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*q - 4, -4*y + 3*q + 644 = 0. What is the highest common divisor of 205 and y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 6198*w + 6199. Determine g(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.57 - 0.07. Let u = b + -0.6. Let y = 0.6 + u. Put 5, -2\/3, y in descending order.\nAnswer: 5, y, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535278 is divided by 48.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 14 = -6*q. Let h = q - 4. Let w be (-2)\/(-8)*(-16)\/12*-1. Which is the smallest value? (a) w (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/6)\/(u*u**(-1\/7)*u*u)*((u**(1\/10)\/u)\/u)\/u*u*u**(2\/5) assuming u is positive.\nAnswer: u**(-95\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -5, 0.01 in descending order.\nAnswer: 1, 0.01, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5 = -2*s, -2*v + 6*v = s - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172991 is divided by 865?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1500 is divided by 211?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1007085?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 2. Let b = 1 + -1. Let x = 67\/3 - 23. What is the nearest to b in x, -1, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20008484 - -18?\nAnswer: -20008466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 297063018806 plus -13?\nAnswer: 297063018793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*v - 9*v - 7*v**4 + (-2*v**3 - v**3 + 2*v**3)*(5*v + 6 - 6) + (1564*v - 41*v**3 - 1564*v)*(v - 4 + 4).\nAnswer: -53*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0041 - -0.0841. Put -1\/7, 3, f in decreasing order.\nAnswer: 3, f, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/5*g + 2\/5*g**3 + 0 + 8\/5*g**2 = 0 for g.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4691*t + 73814 = 19640*t - 1994321 for t.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001750356854 to 6 dps.\nAnswer: -0.00175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*v - 0. Is v\/(-6)*(-25959)\/(-34) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n. Let v(u) = -2*u. Give 3*o(g) - 4*v(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7152612 is divided by 92891.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aajajajaaaaaajaaja. What is prob of picking 2 j and 2 a?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -471000 divided by 157.\nAnswer: -3000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-40)*5)\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30193768 divided by -1372444\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 59 + 67*v - 60 + 51 + 60. List the prime factors of m(7).\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 10. Let q be a(-5). Suppose r + 3*r - 19 = -q*f, 5*r - 17 = -4*f. Suppose -u = f*m + 4*u - 180, 0 = -u. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00069776 rounded to five dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -161 + 61 + 51*g**3 + 39 + 39 in the form w*g + d + r*g**2 + f*g**3 and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1167392 and 21392?\nAnswer: 8171744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*o**3 + 139*o**3 + 140*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/9, 4, 417, 1\/1220?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 4*p**2 - 3*p + 3. Let u be i(-3). Suppose u*f = 2*d + 39, -f + 42 = 2*f - 3*d. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4071.664 and 67 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*l**3 - 7*l**3 - 10*l**3)*(4 - 2 - 1)*(-9 + 9 + 11*l).\nAnswer: -286*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/((v\/(v**(1\/7)*v))\/v))\/v*v\/v**0*(v**47\/v*v)\/(v**3*v))**17 assuming v is positive.\nAnswer: v**(5491\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -875 - -1397. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 201.7353 * 136.\nAnswer: 27436.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51730\/(-258930) + (-5)\/(-27)?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-5 - -13 - (-8 - -7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -1 - 35. Let h = t + -4. Suppose -5*a + 15 = h*q - 15, -5*q + 15 = 0. Solve -4*r = -5*j - 24 + a, 3*j = -5*r - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 14*g + 50. Let h be d(7). Let v be (0 + h)*-3 - -7. Solve 0 = -v*a - 20 - 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -4)*-10 - 3. Suppose 0 = 4*h + 2*i + o - 1, h = i - 3. What are the prime factors of h\/(6\/9) + 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 5)*(29 - 9*z - 29)*(3 - 1 - 1)*(4 + 2 - 4)*(3 + 1 + 0).\nAnswer: -144*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10501200, -10501197, -10501194, -10501191, -10501188, -10501185?\n\"Answer: 3*l - 10501203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88190.94g to tonnes.\nAnswer: 0.08819094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r = 21*r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21105064 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003626260185 to 6 decimal places.\nAnswer: 0.000363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -22)*(3 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -145*i**2 - 4*i - 29. Let m(h) = 156*h**2 + 5*h + 31. Give -6*m(c) - 7*w(c).\nAnswer: 79*c**2 - 2*c + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*v + 56 = 16, -5*j - 3*v = 0. Calculate the remainder when 4\/(-3)*9\/(-2) is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 a when four letters picked without replacement from {v: 3, a: 3, r: 2, z: 1, w: 2, y: 3}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 - 2*m**4 + 123 - 118)*(-1 + 0 + 0).\nAnswer: 2*m**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9022.586 litres?\nAnswer: 9022586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 19 - 2)*(-75*q - 5*q + 34*q)*(3 - 3 - 2).\nAnswer: 1288*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/5)\/((-2)\/(-10)). What are the prime factors of 7 + 11 - b\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13976466 by -7287.\nAnswer: -1918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:59 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = 5*o. Let h be ((1\/3)\/o)\/(-1). Factor -h*r**2 + 0 - 2\/3*r.\nAnswer: -r*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**2 + 34*u + 3. List the prime factors of m(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204455503 (base 6) to base 2.\nAnswer: -1101101011001010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92265 and 40875.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 n, and 1 e when four letters picked without replacement from toieaneieenteeineat.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(55) - 2*sqrt(55)))\/(sqrt(11) - (-2*sqrt(1331) + sqrt(1331) - sqrt(11)) - sqrt(11)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + 1.6. Let v = -247.407 + 253.407. Put -4\/5, -0.3, v, h in descending order.\nAnswer: v, h, -0.3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 3. Let d be a(3). Let k be d\/(-8) + 3\/3. Suppose -394237 = -34*n - 394101. What is the biggest value in n, 0.3, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2430 divided by -486\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b - 8. Let n be y(-2). Suppose 33*q - 35*q - c + 9 = n, -c + 11 = 3*q. Solve -4*x = q*l - 22, 3*l - 2*x + 4*x = 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2326513715 to the nearest integer?\nAnswer: 48234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52027675 to the nearest integer?\nAnswer: 7213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 3*x**2 - 6*x - 202. Let d(r) = -2*r**3 + 5*r**2 + 10*r + 405. Give -3*d(z) - 5*s(z).\nAnswer: z**3 - 205","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7979 + -7973. Let j(i) = 2*i**2 - 8. Let t(o) = -2*o**2 + 7. Let u = 1 - -4. What is b*t(z) + u*j(z)?\nAnswer: -2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402580?\nAnswer: 2, 5, 20129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from srvrfvfrvssvffrffs?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/5)*s*s\/(s*s*s**(-2\/9)))\/(s**(2\/5)*s)**(-5) assuming s is positive.\nAnswer: s**(352\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 1:12 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 76*h**2 - 150*h - 201. Calculate d(-74).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 0 - 1\/2*l**2 - 1\/4*l**3 - 1\/24*l**4 - 4*l. Solve p(q) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(1782\/(-24)))\/((-2)\/3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pex when three letters picked without replacement from fxpaixe.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (6 - -32) + (-2 + (-10 - -14) - 96)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/216 - (0 + 523\/(-6)). Suppose 507 = 3*a + 3*f + u, -4*f = 5*a - 704. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 2:47 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z = 108*z + 64*z + 2639 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m - 288 = 6*m. What is the least common multiple of 316 and m?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 11 = -35. What is the remainder when z is divided by 8\/5 - (-26 - (-1664)\/65)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -414e (base 15) to base 7.\nAnswer: -55142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1815))\/((sqrt(432)*-1 - sqrt(432)) + sqrt(3)).\nAnswer: 22*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 8 = -1, -3*n + 4*i + 21 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -11622?\nAnswer: -11616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 6847392?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2. Let r(v) = 1287710*v. Determine r(u(m)).\nAnswer: -2575420*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/10400 and -123\/2080.\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.391 - -0.009. Let v = 0 + -5. What is the closest to -0.1 in v, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -432*u**3 - 7*u**2 - 152*u + 41986724 with respect to u.\nAnswer: -1296*u**2 - 14*u - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + -1 + -2 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 0 - q + 1\/2*q**2 + 0*q**3 - 1\/6*q**4 + 7\/10*q**5. Let c = 872 + -871. What is j(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + -4 - 2856\/(-567) and (-27)\/(1620\/(-8)) - (-458)\/(-260).\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451036 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/(-55)*(-3 - -4)*-5. Let b(h) = 2*h + 12. Let i be b(q). Solve -3*c - i = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -2371583?\nAnswer: -2371582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -49947.\nAnswer: -4\/49947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from {m: 1, x: 2, n: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(2\/19))\/r*r\/(r*r*r**6)*(r*r\/r**(-6)*r)\/r**7)**(-1\/19))**(2\/9) assuming r is positive.\nAnswer: r**(194\/3249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 24*b + 1)*(-2*b - 2*b + 3*b).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-1)\/c))\/c*c)**40)**(-16) assuming c is positive.\nAnswer: c**(-1920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 17. Let g(y) = -y - 2. Let x be g(b). Let r(q) = -q**3 - 6*q**2 - 5*q + 5. Let v be r(-5). Solve x = -2*h + v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*r - 220 = 0, -r - 268 = -2*i - 53. Solve -56*d + i = -175 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (174 + -62 - 208).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.3*-4.\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45.8 - -8.8. Let o = 19.5 + v. Round o to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 35*o = 168. Suppose o*y - 2372 - 4082 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 12:33 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7))**39\/(z**(-2)*z)**26 assuming z is positive.\nAnswer: z**(260\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 553\nAnswer: 3\/553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 0.4, 2\/27, -3?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 2*f**2 + 0*f**2 - 5*f**2)*(-2*f**2 - 25733 - 113*f + 25733).\nAnswer: 8*f**4 + 452*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**4 + 17*a**3*q**2 + 45*a**3*q + 3665*a**2*q + q**2 wrt a.\nAnswer: -48*a + 102*q**2 + 270*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8045013*d*p**2 + 2994*d - 83*p - 5 wrt p.\nAnswer: -16090026*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 21*h + 3. Let f be r(21). Let q(c) = -c + 18. Let d(g) = g - 9. Let u(j) = f*q(j) + 5*d(j). Give u(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 709 = 12*l - 263. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oppo when four letters picked without replacement from {t: 1, p: 3, y: 1, o: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4935*y + 146. Let b(f) = -2*f**2. What is q(b(o))?\nAnswer: -9870*o**2 + 146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 282 = -0*h. Suppose -2*a + 15 + h = 0. Calculate the greatest common factor of 93 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - p**2 - p - 1. Let o be 48\/168 + -3 + (-104)\/(-28). Let s(a) = a**3 + a**2 + 3*a + 2. Determine o*s(j) + 2*l(j).\nAnswer: 3*j**3 - j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 77002924 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p. Let g(f) = 3*f + 2. Let o be -1 + 2 - (-10 + 9). Determine o*x(z) + g(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*w. Let x = 10021 - 10026. Sort w, x, -3 in descending order.\nAnswer: w, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**3\/3 - 17*m**2\/2 + 6*m. Let s be t(11). Suppose d + y - 17 = 0, 0 = s*d + 6*y - 4*y - 94. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -131605377, -263210753, -394816129, -526421505?\n\"Answer: -131605376*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 18774661.4 to the nearest one hundred thousand.\nAnswer: 18800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 - 83. Calculate the smallest common multiple of 30 and 6504\/108 + (-6)\/p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 182*j**4 - j**3 - 2*j**2 - 6?\nAnswer: 4368*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 940\/(-1645) - (-41)\/(-14)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/8)\/((-2)\/(-8)). Let g be 0 + (-4 - -3 - 1). Sort g, -3, s.\nAnswer: -3, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/9)\/((-189)\/(-1377))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 14. Let b be x(0). Let u = b + -1. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**2 - 19*l**2 + 525*l - 91*l.\nAnswer: -31*l**2 + 434*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 11*j - 7. Let p be y(1). Let x(a) be the third derivative of -a**5\/30 + a**4\/4 + 5*a**3\/6 + 274*a**2. What is x(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 34 - (-24)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14335 + 14335.3. Sort 3, 5, d, 0.039 in descending order.\nAnswer: 5, 3, d, 0.039","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*c - 25, -3*n + 15 = -3*c - 4*n. Let y(s) = -2*s - 9. Let h be y(c). Let k be (h\/2)\/((-1)\/(-6)). Is k less than or equal to 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2039334 divided by 5618\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p + 30. Suppose -14*m = -583*i + 578*i - 1184, -3*i + 12 = 0. What is the remainder when m is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -406, -405, -404, -403, -402?\n\"Answer: m - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.9 or 10\/59453?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*((-21)\/12)\/7. Suppose 2*w + 2*k + c = 0, 3*w - 2*k + 23 = -0*w. Calculate the lowest common multiple of 4 and (-395)\/(-25) + (-1)\/w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 3)*(-40*g + 480 - 480) in the form d*g + r and give d.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19798.74l in millilitres?\nAnswer: 19798740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 605*a**3 + 0*a - 2*a + 3*a**2 - 606*a**3 - 5 to the form i*a**3 + b*a**2 + k*a + r and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (9 + -6) - -28) + -8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 10*t - 4. Let g(o) = -4*o - 4. Let n be g(t). Let w(v) = 3*v**2 - 4*v - 2. Let b(u) = u**2 - u - 1. Calculate n*b(a) - w(a).\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -18, -1, 4 in descending order.\nAnswer: 4, -1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1823 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 134422 (base 5) to base 14\nAnswer: 208c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1079427*z + 785022*z - 618774*z.\nAnswer: 1245675*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**3 + 5*v**2 - 20*v - 32. Give d(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25.2 + 17. Let v = -162.2 - l. Let k = -154.00305 - v. What is k rounded to 4 dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 3*a**3 - 5*a**3)*(-3*a + 4*a + 0*a) + 7 - 7 + 7*a**4.\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.0293 * 1\nAnswer: 0.0293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7101 = j, x - 164*j - 2356 = -168*j. Calculate the remainder when x is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.09 or -0.049?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 301653089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70\/4 + -7 + 44\/8 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90645167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39928 is divided by 1051.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/((-3)\/(-3)))*-1*11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -30. Suppose 9*b - 20 = 4*b. Suppose -b*q + y + 34 + 20 = 0, -q + h = 4*y. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3852959 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + 11 - -3) + -24 + 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**6\/60 + j**5\/15 - j**4\/3 - 8*j**3\/3 - 20*j**2. Factor b(g).\nAnswer: 2*(g - 2)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2771366 (base 9) to base 16\nAnswer: 173df0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.487089 meters?\nAnswer: 0.000487089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 33*j**2 + 332*j + 160. Determine l(-41).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*((-1215)\/105 + 12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4361 and 1666.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*u + 4 - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 2:39 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 3 + 2 + 9*g - 2*g - 2*g + 2*g + (-2 - 1 + 1)*(g - 1 + 1) in the form b + j*g and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6212*l - 6222*l = -12451*l - 136 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**2 + 102*m - 11*m**2 - 43*m + 22*m**2 + 26*m**2 wrt m?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 20*a**2 - 5*a + 120. Give n(20).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -278 (b) -0.4 (c) -0.1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11022 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 122653 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 14 = 2*a. Let k(r) = 2*r - 5. What is the units digit of k(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 2982?\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**3 - f. Let p be m(1). Let l(r) be the third derivative of r**5\/20 - r**4\/24 - r**3\/3 - 137*r**2 - 2*r. Give l(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 1271532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrr. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 - -9) + (2 - 1). Suppose n = -x + 11 + 3. Let d be ((2 - 4)*-1)\/(-2). Sort -4, d, x in increasing order.\nAnswer: -4, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 7*b**2 - 10*b + 9. Give q(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 800?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/(g*g**(-7)\/g))\/(g**(2\/11)\/g))**(1\/6)\/(g**(-6)*g*g**1*(g\/g**(-2\/3)*g)\/(g**(1\/5)\/g)) assuming g is positive.\nAnswer: g**(257\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 8*m + 10. Let k be r(-7). Suppose k*q - 2 + 1 = l, l = 5*q - 1. Suppose -5*z - 40 + 115 = q. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 445 + -470 + (-8 - 2) - 27.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15144*m + 927320 = -40386 - 274102 for m.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -231 - 1. Let l = f - -232.3. What is the second biggest value in -0.06, l, 4, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850228 smaller than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 + 15*h + 6. Let v be c(-5). Let s(q) = -q**2 - v*q + 0*q + 6*q. Let a(p) = p - 6. What is s(a(i))?\nAnswer: -i**2 + 12*i - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/4*(7 + -8). Let q = 2.95 - -0.05. Let h = -14\/5 - -47\/15. What is the nearest to h in q, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4994*o**4\/3 + 89894*o**3\/3 + 174802*o**2 + 999010*o\/3 + 400\/3 = 0. What is o?\nAnswer: -8, -5, -1\/2497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001282 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 1 - 1)*(0*p + 2*p - p)*(3*p**2 + p**2 - 3*p**2) + 0*p**5 - p**5 - 9*p**5.\nAnswer: -11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 = -4. Let k be (6 - m)\/((-1)\/(-1)). Let 0 + 1\/2*l**k - 1\/2*l + 0*l**2 = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 4*l**2 + l - 4. Let r(g) = -g**2 + 7*g + 2. Let i be r(7). Suppose -m - i*m = 9. What is the smallest common multiple of 7 and s(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, i: 1, r: 11, d: 5}. What is prob of picking 2 d?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 6:53 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13*-8\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 13. Suppose -21 = -t + 15. Calculate the remainder when t is divided by v(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 - 3 - 3)*(i + i + 0*i) + 0*i + 2*i - 3*i - i + 0*i - 2*i)*(0*i + 2*i - 3*i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**2 - 3*t**3 - 927059 + 927059 - 5*t. Let a(k) = 2*k**3 + 4*k**2 + 4*k. Let u be 8\/12 + 28\/(-6). Calculate u*d(z) - 5*a(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, e: 3}. What is prob of sequence bbee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -633*r + 11*r**4 - r**3 + 1260*r - 2 - 6*r**2 - 629*r to n*r**3 + s*r + m*r**4 + p + b*r**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -i. What is the smallest common multiple of i and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 98, 149, 200, 251?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -35*u**6\/3 + 5*u**3\/3 + u**2\/2 + 11. What is the third derivative of g(a) wrt a?\nAnswer: -4200*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evveeeh. Give prob of sequence vv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2 + 3*u + 6 = 0. Calculate u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/15 + 8\/5. Sort 5, 3, g in increasing order.\nAnswer: g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/15 + 574*v**2\/5 - 33666*v\/5 + 1535678\/15 = 0. Calculate v.\nAnswer: 31, 799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-11) + 52116\/11 + -5. Let o = 670 + s. Round o to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -22*b + 285 + 44 + 154 + 61*b - 89. Let c be a(-10). Find z, given that 2*z**c - 34\/7*z**2 + 0 + 32\/7*z**3 - 12\/7*z = 0.\nAnswer: -3, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9 - (4\/(-2) - 0). Let c(y) = -y - 2 + 3*y - 2*y - 2*y. What is the tens digit of c(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abb when three letters picked without replacement from ehbkbheeea.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -586, -1186, -1800, -2428, -3070, -3726?\nAnswer: -4396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8 and -0.58234129.\nAnswer: -1.38234129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18382 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 v when three letters picked without replacement from {f: 2, v: 3, l: 1, q: 4}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038130903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5 - 2*l**4 + 41*l**3 - 62*l**2 - 40*l + 64 = 0. What is l?\nAnswer: -8, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**5 - 21*g**2 + 7*g**2 - 10*g**5 wrt g?\nAnswer: -360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 571\/10 + -57. Let c(k) be the first derivative of 0*k**3 + v*k**4 + 0*k**2 - 1\/15*k**6 + 0*k + 0*k**5 - 2. Factor c(t).\nAnswer: -2*t**3*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g + 4*f + 112, 4*f + 80 = -3*g. Let q = 36 + g. Let a(i) = -6*i**3 + 4*i**3 + 6*i + 2*i**2 + 2 - 4 + i**3. Give a(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224052.\nAnswer: 2, 3, 18671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 196012079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 23*l**2 - 5*l + 5. Let q(h) = -h + 1. What is -5*q(o) + r(o)?\nAnswer: 23*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * 1782931.\nAnswer: -28526896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 9:31 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 22.5. Which is the biggest value? (a) l (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rotwrtstwtttwtow. Give prob of picking 1 w and 1 s.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 22172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -1, 5, -72, 2.\nAnswer: -72, -18, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1607345?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/6250 and -36\/125?\nAnswer: 6250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - i + 10. Let w = -2 - -2. Let m be (-2)\/(-4)*w\/2. Let u be o(m). What is the highest common factor of u and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*n**2 + 0*n + 248*n**2 + 0*n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 3) + (-33 - (24 + -46))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 6*y + 6. Let u(b) = 3*b**2 - 2 + 15 - 1750*b + 1765*b. Let o(j) = 7*j**2 + 31*j + 26. Let h(t) = -2*o(t) + 5*u(t). Calculate 6*h(w) - 13*k(w).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w + 5. Let u(n) = 10*n + 12. Let q(b) = -5*u(b) + 12*y(b). Suppose 4 = 4*l - 12. Let z(o) = 2*o + l*o - 4*o. Give z(q(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3 + 2*32\/12. Solve f*z - 15 - 5 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 z when three letters picked without replacement from zkkz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/12*4\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/((-2)\/12). What is the third derivative of -6*s**z + 2*s**2 - 6*s**3 + 9*s**3 wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from cvbcvbb?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4901 + 4949. Suppose p - 3*k = 6, 4*p - 30 = -p - 2*k. Calculate the highest common divisor of h and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46, -172, -298, -424?\n\"Answer: -126*y + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 8*h**2 + 46*h - 20. Let l be y(-12). Let n(i) = -i**2 + 11*i + 11. Let q be n(12). What is the units digit of ((-62)\/l + q)*(-4 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0*l**3 - 97\/24*l**4 + 0*l**5 + 47\/120*l**6 - 1\/105*l**7 + 0*l + l**2 - 54. What is the second derivative of f(h) wrt h?\nAnswer: -24*h**2 + 282*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 25*z**2 - 6*z + 3. Let u(r) = -4*r + 1. Determine -2*u(l) + w(l).\nAnswer: 25*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 8 = 6. Suppose -660 = -10*i - d*i. What is the greatest common factor of 22 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 4394?\nAnswer: -17\/4394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3534 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, u: 1, j: 3, p: 2, r: 1, k: 8}. Give prob of sequence ukr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5)\/(n**(-6)*n*n))**9\/(((n\/(n\/(n\/n**(-3))))\/(n*n*n**(-1)))\/(n**(-1\/3)\/n*n*n**(1\/2)*n*n)) assuming n is positive.\nAnswer: n**(947\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8cda - 10b4?\nAnswer: -9db0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -97, -164, -259?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7956 and 5.\nAnswer: 39780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -176*s - 184 wrt s?\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, q: 5, d: 1, y: 1, w: 4, p: 3}. What is prob of picking 2 q and 2 j?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 139898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41941624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p. Let r be d(-1). Let t = r - -19. Calculate the highest common divisor of t and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 1:32 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 46 = -2*f - 4*w, 2*w + 76 = -4*f. Let z be (1 - f)\/(-14 + 16). Calculate the highest common factor of z and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x**2. Let m(c) = 54*c - 3 + 2 + 2 - 1. Calculate m(s(o)).\nAnswer: 486*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15166.347 months in centuries?\nAnswer: 12.6386225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.07 + -4. Let m = 0.22 - o. Let i = m + -1.15. Sort i, 2, -2 in decreasing order.\nAnswer: 2, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-1 - (4 - 3)) + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hejhhechbchhhh. Give prob of picking 2 h.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 + 0*h**3 - h**3)*(2*h**2 + 2*h**2 - 6*h**2)*(-3 - 4 - 2).\nAnswer: 18*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4*(22 - 12). Suppose 357 = -x*h + 1517. Suppose 2*j + 5 = j, j - h = -3*l. Calculate the remainder when l is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2773415, 5546821, 8320227, 11093633?\n\"Answer: 2773406*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4 = -28. Suppose -4*c + k + 20 = 0. What is the units digit of 4\/14 - (-26)\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 82.2, -2\/10603, -0.14?\nAnswer: -2\/10603","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - 14\/(-1) - 4. Let d be z\/(-33) + (-435)\/(-33). Solve 5*r = d + 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3456 by 18.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342596?\nAnswer: 2, 3, 53, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zztz when four letters picked without replacement from tztttttztzttzt?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.281 and -11?\nAnswer: 10.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*o**3 + 69*o**3 - 25*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(5)*2 + 0 + sqrt(5) + 4)*4)**2.\nAnswer: 1408*sqrt(5) + 9936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2614 divided by 1307?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -219.7 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -133979.\nAnswer: -2\/133979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 6*d + 4. Let f(x) = -2*x + 2. Suppose -h - 12 = -4*z + 3*h, 0 = 4*z + 5*h + 33. Let w be f(z). List the prime factors of q(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -762 + 762. Sort m, 1\/2, -0.09, -2\/5 in descending order.\nAnswer: 1\/2, m, -0.09, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2156135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 832?\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459208383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8941, -13250, -17559, -21868, -26177?\nAnswer: -30486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21277 + -12182. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(7 - (-48)\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*x - 1491300 + 2*x**2 + 1491300.\nAnswer: 2*x**2 + 133*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z - z**3 - 6*z + (0*z**2 - 2*z**2 + z**2)*(0 - 2*z + 0).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 226779.\nAnswer: 2041011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665 = -7*z + 3395. Does 26 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2112023131 + 11?\nAnswer: 2112023202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 40559*i - 25. Let v be o(9). Suppose 4*j + 5*f - 103547 = 188443, v = 5*j - 3*f. What is j rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 220.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/533087?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.792343 to 0 decimal places.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131221 - 101?\nAnswer: -131322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2))**(-3\/11))**(1\/25) assuming v is positive.\nAnswer: v**(3\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 5*y + 2018, -2*y - 140 = -4*g + 2594. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2480139 is divided by 77.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12299153 divided by 10?\nAnswer: 12299153\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 2115022.\nAnswer: 5\/1057511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -11 - (24 - (-3 + -9 + 10)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -902, -9, 5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605967.\nAnswer: 3, 19, 10631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = -5*x - 167. What are the prime factors of x\/(-8) + (-4)\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1018 + -351. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (-23 - 17) + 41.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 5:59 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**7\/30 + z**4\/24 + 15*z**2. Find the second derivative of l(s) wrt s.\nAnswer: 84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 1503*a**3 - 21206*a**2 + 48672*a + 194176.\nAnswer: (a - 8)**2*(a + 2)*(a + 1517)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from gsssgsgggsgggg?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - c. Let x be -8*(10\/(-4) + c). Solve -2*a = 3*a - x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16622 (base 9) in base 5?\nAnswer: -331231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**4\/8 + w**2. Let d(n) be the first derivative of -5*n**3\/3 - 42. Determine d(b(x)).\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 265454 and 1073206?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -12. Let t(g) = -5*g**2 + 4*g - 10. Let l(c) = -14*c**2 + 11*c - 29. Let r(y) = a*l(y) - 11*t(y). Find the first derivative of r(s) wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2516229 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p**2. Let r be 1554\/98 + 4\/28. Let x(a) = 5*a**2. Let d(b) = b**2. Let h(v) = 9*d(v) - 2*x(v). Give r*h(g) - 3*z(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94903877?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 4*s**2 - 1 - 1)*(-4275 - 21*s + 4275)*(2*s - s + s).\nAnswer: 42*s**4 + 84*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -25*i**2 + 4*i. Let x(h) = -h. Give o(x(w)).\nAnswer: -25*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*-115*(-516)\/(-2967) + (-303)\/(-39)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.74452t in micrograms?\nAnswer: 32744520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5596, 22112, 49570, 87970?\nAnswer: 137312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 5. Let g = -2.7 + -0.3. Let c = 0.12485 + -0.62485. Sort g, b, c in descending order.\nAnswer: c, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c - 3 = -j, 0 = -j. Let w(f) = 4*f - c - f**2 + 0*f**2 - f**2 + f**3 - 3*f**2. Is w(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7 + 3*p**3 - 6 + 3 + 4*p. Let m(g) = g - 16. Let w be m(12). Let d(s) = -24*s**3 - 33*s - 33. Give w*d(c) - 33*f(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 52.459692 and 646114?\nAnswer: 646061.540308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + 2*sqrt(396)*-2 + -2.\nAnswer: -24*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4156897994 to the power of 1\/3, to the nearest integer?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 3) to base 8\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0223 plus 20362?\nAnswer: 20361.9777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 9*j**2 + 4*j - 14. Let g be q(-7). Calculate the greatest common divisor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 61 = -8*q + 3*t, 22 = q + 3*t. Let d(w) = -17*w + q*w + 13*w. Calculate d(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4823865 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 -44907459 less than 2.46?\nAnswer: 44907461.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**5\/60 + r**4\/24 + 7*r**3\/6 - 27*r**2. Suppose 87 - 184 = -183*x + 452. Give v(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 + 0.02. Let z = -0.99 + y. Let h = z + 0.999. Round h to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -181*i**3 + i**2. What is c(1)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 7*y**3 + 0*y**3)*(2 - 2 + 1 + (0 - 1 - 1)*(3 + 2 - 4)).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 24789 - 9743 = -2*n, -69136 = -4*n + 3*y. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 283, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1445*w**2 - 40*w - 14. Let p(j) = 1443*j**2 - 37*j - 15. Let b(v) = -10*l(v) + 11*p(v). Find the second derivative of b(s) wrt s.\nAnswer: 2846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 471487 - 471493 = -s, -4*s - 22 = 3*v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (95388\/48)\/(7\/(-4) - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162577 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18525 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, u: 4, i: 9, r: 3}. What is prob of sequence rr?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**2 - 511777*n + 1023550 = 0.\nAnswer: 2, 511775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*-3*(-3)\/9. Suppose s*a - 33 = -4*r, 11 = a - 5*r + r. Let j = 24 - 20. Calculate the lowest common multiple of j and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6937.21 rounded to the nearest 10?\nAnswer: 6940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 96*y + 946. Give l(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.22 - -3.22. Which is smaller: -4.5 or d?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - 2a4512?\nAnswer: -2a44b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4ba - 86?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 146 and 14.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-114)\/900 + (-36)\/900)\/((-1)\/(-114)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 66503740, 66503739, 66503738, 66503737?\n\"Answer: -d + 66503741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-1 + 5 + 1)*((1 - 1 + x)*(-4 - 2 + 3) - 2*x + 1 - 1).\nAnswer: 50*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18588 + 18593. Which is the third smallest value? (a) -5 (b) -60 (c) y (d) 18\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 m, and 1 y when three letters picked without replacement from fymyhymhyyyyhmhmmhf?\nAnswer: 175\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6eba - 9d?\nAnswer: -6f57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3050951535 times 0.2\nAnswer: -0.0610190307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 2*y - 3*y)*(-y**2 + 2 - 2) - 4 + 4 + 2*y**3 + 3*y**3 - 6*y**3 + 2*y**3 - 2*y**3 + 2*y**3 - y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -12*i**2 + 247*i - 247. Give v(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 5*n**2 - 4*n + 5. Let m be q(-5). Differentiate -27 - 12*g - 8*g + 24*g + m*g with respect to g.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-2))**14*k**8\/(k\/(k*(k**(1\/12)\/k)\/k*k)*k) assuming k is positive.\nAnswer: k**(73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-35))\/((-4)\/((-168)\/(-18))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 10:17 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 0)\/((-2)\/30). Let x = -2142 - -2145. Calculate the highest common divisor of k and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**0)**(9\/7)\/((u**5\/u)\/(u*u\/u**(-8)*u))*(u\/(u\/u**2))**15*u**(2\/11)\/u**4 assuming u is positive.\nAnswer: u**(2654\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 64157660 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 788, -1, -9, -312, 4.\nAnswer: -312, -9, -1, 4, 788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178465 is divided by 89228?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 4*k + 1. Let u(d) = 2*d**3 - 17*d**2 - 7*d - 13. Let f be u(9). Let i(b) = -b**2 - 2*b. Calculate f*i(n) + 2*h(n).\nAnswer: -3*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.173 less than 1179.8?\nAnswer: 1179.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - -12120201222211?\nAnswer: 12120202000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -676821040 divided by 8460263?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -443, -907, -1371, -1835?\nAnswer: -2299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsuusux. Give prob of picking 1 x and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14469 and 329448.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006279 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 296 in -3\/7, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.11 and 0.3.\nAnswer: -4.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2428)\/(2\/2). Let b be (2 + -2 + -1191)*3. Let y = b + d. Round y to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(7\/2))**(-38) assuming y is positive.\nAnswer: y**(-133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -124.\nAnswer: -5\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138496 and 1552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.63906 months to years.\nAnswer: 0.053255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44021 - -164011. Suppose x - d = -x. Suppose 0 = 3*b + q + 44995, 0 = -4*b - 0*b - q - x. What is b rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 43 = 3. Let i be (2\/(-4))\/(25\/r). Which is the third smallest value? (a) i (b) 0.5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1729 + -1187. What are the prime factors of s?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + -1*(-4 + -2 + sqrt(5))))**2.\nAnswer: -224*sqrt(5) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5681221?\nAnswer: 7, 13, 149, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 25 = u + 2*j, 0 = 3*u - 2*j - 80. Suppose y = -4*y + u. Let r(o) = o**3 - 5*o**2 - 5*o + 5. Give r(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68845\/6 + 11475. Which is the fourth smallest value? (a) 0 (b) 2\/3 (c) -0.06 (d) -2 (e) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcc when three letters picked without replacement from {k: 1, c: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*y + o + 4 = 0, -8 = 4*y + 2*o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 61509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 - 181. Let s be 9355\/k - (-24)\/56. Let t = 166 + s. Find the common denominator of 31\/16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 4*o - 1. Suppose 0*h - 4*h = 2*l - 24, 5*h = -5*l + 40. Determine c(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -2*g**3\/9 + 2*g\/3 - 2. Factor j(u).\nAnswer: -2*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 13*w - 2*w + 0 - 58*w.\nAnswer: -47*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 10 - (-4053 - -4100).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 461549121 by -2069727.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 408631*i**2 + 152251.\nAnswer: 817262*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -4 + (-2 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1790082 to the power of 1\/2, to the nearest integer?\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qttqt. What is prob of sequence qqt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 = -5*f - 3*i, 0 = -0*i + i + 1. What is the greatest common factor of 20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1855?\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*b - 50 = 0, -5*b - 40 = -2*n - 3*b. Let z = -5 - -7. Suppose -3 - 51 = -z*a. Calculate the remainder when a is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5846.\nAnswer: 2, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4134\/3816)\/(13\/624)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 15*g**2 + 1291*g - 417. Determine k(29).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46687 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from moooommomm. What is prob of sequence om?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, g: 3, q: 1, y: 1, b: 2}. Give prob of picking 1 l and 1 q.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 201705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 3*t + 10 = -c, 3*c + 5*t = 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w + 560 - 2000 = 2*w. Solve 0 = 66*y - w*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 227 - 211. Suppose -2*w + 4*w - 5*z - 20 = 0, 2*w - 3*z - f = 0. Solve -r = 2*x - 4, 0 = -2*r - 3*x + 1 + w for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -152 * 10.6.\nAnswer: -1611.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 259 and 4625.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 276 + -269 + -26 + 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -92 + 15c62?\nAnswer: 15ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -900.\nAnswer: 1\/300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.95 times 0.15726?\nAnswer: -0.463917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - 0.1. What is the second biggest value in 0.4, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3871815 is divided by 645250?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1956593570 to the power of 1\/2, to the nearest integer?\nAnswer: 44233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 763?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 + 6*u. Let l(t) = 17*t + 9. Let k(v) = -4*v - 2. Let c(b) = -9*k(b) - 2*l(b). What is h(c(i))?\nAnswer: 12*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, -5, -11, -17, -23?\n\"Answer: -6*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 9*c**2 + c - 4. Let a be p(9). Let f(v) = -9 + 0*v + 1 + 7*v. Is f(a) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -24345008?\nAnswer: 24345008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 3. Calculate the lowest common multiple of q(-6) and 2 + (-14)\/140*-310.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-5))\/(-2)*(-5694)\/(-657)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 5:02 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*-9)\/(1332\/(-1480)). Factor 15*c - 15\/2*c**2 - m + 5\/4*c**3.\nAnswer: 5*(c - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 95*f - 44*f - 2*f**3 - 50*f to the form m*f + g + z*f**3 + t*f**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(-2*sqrt(7920))\/sqrt(5).\nAnswer: 1 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 8*d - 9. Calculate r(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/3 + 82*u**4\/3 - 434*u**3 + 5374*u**2\/3 - 7180*u\/3 + 1008 = 0. What is u?\nAnswer: -54, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -9749796 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*t + 67*t - 19*t = 20*t - 24, 27*u - 3*t = 171 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3379?\nAnswer: 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**3\/3 - 10*t**2 + 2*t. Let c be q(-11). Let d(n) = -n**2 - n + 16. Let u be d(0). Put 1, u, c in descending order.\nAnswer: u, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 767 + -767. What is the closest to v in 21, 1\/10, -1\/4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3648568341 to two dps.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -10, -49, -124, -247, -430, -685, -1024?\nAnswer: -1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/71 (b) 7 (c) -3\/7 (d) 0.5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + -3a22112?\nAnswer: -3a22103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -7*i**2 + 10 + 0*i + 23\/3*i**3. What is the second derivative of g(a) wrt a?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 - 4*q**2 + 4*q**2 - 131*q**2 + 224*q**2 + 180*q**2 + (-5 + 1 + 3)*(20*q**2 - 4*q**2 + 9*q**2).\nAnswer: 246*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 10. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-968*k - 1398*k + 276*k)*(0 + 0 + 2*k) to the form l*k + f + h*k**2 and give h.\nAnswer: -4180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 356\/(-28) + 2\/(-7). Let u = m - -25. Suppose -7*n - 25 = -u*n. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3*u + 19, -3*u + 5 = -c - 0*u. Suppose -c*m + 192 = -m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -55 + 47170?\nAnswer: 47114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 1\/7 (b) 4 (c) 1 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/9)\/h**(-2\/7)*h**(-1\/3)*h*((h*h**(-2\/9))\/h)\/h*(h*h**(-7)*h**(-2\/9))**(-27) assuming h is positive.\nAnswer: h**(3520\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 21 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 291.65 - 0.15.\nAnswer: 291.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254 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: What is 2067895298647 less than 0.1?\nAnswer: -2067895298646.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 - 3*a**3 + 4*a**3)*((-4 + 2 + 1)*(-2*a - 2*a + a) - 12*a - 13*a + 3*a).\nAnswer: 38*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3.8, -4, -0.2, -41?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 7. Let m be n(9). Let l be (1\/m)\/(0 - -2). Which is the nearest to 1? (a) -5 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*b - 146, -2*b = -2*c - 2*c + 158. Calculate the greatest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b - 19*b - 36*b + 10*b - 20*b - 15*b.\nAnswer: -91*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2644949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179, 360, 541, 722, 903?\nAnswer: 1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, m: 4, g: 1, y: 2, l: 4, d: 7}. Give prob of sequence lydm.\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9469 + 47016\/5. Suppose -p - z + 0*z = 69, 3*p + 204 = -2*z. Let b = p - a. What is the second smallest value in b, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 507 - 1005 = -516 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63522461*b**3*o**3 - o**3 + 16*o**2 + 860809 wrt b?\nAnswer: -190567383*b**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 2:29 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7508 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 10.04, 109.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3)*54\/(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001101000 + 10101?\nAnswer: 11001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.929054ml to litres.\nAnswer: 0.005929054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-579)\/(-386))\/(18\/20)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, o: 1}. What is prob of sequence os?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -14, -18, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.6845ug to grams.\nAnswer: 0.0000066845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 14. Let z = -8 - -13. Suppose w*k + k - z = -5*f, 3*f - 1 = -k. Let r(n) = -n**3 + 3*n**2 - 1. Determine r(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 19*n - 42. Let b be c(5). Suppose 2*a + 308 = q + 3*q, 3*a - 222 = -b*q. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*g - 796, w - 791 = -9*g + 6*g. Let j = 280 - g. Let y(q) = -q**2 + 16*q - 1. Calculate y(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**4 - 16*n**3 + 29*n**2 - 14*n = 0.\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.8199895 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 120624.6 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-15))\/(-6)*-3. Let n = 55 + -50. What is the nearest to 2\/7 in n, 10, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -223, -1, 5, -288, 4, 3 in increasing order.\nAnswer: -288, -223, -22, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 52019 = 4*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.77, 0.02, 5, -0.85.\nAnswer: -0.85, 0.02, 0.77, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-390)\/(-9))\/((-12)\/180). Let j = k - -693. Calculate the remainder when j is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*15\/(-36)*8\/100.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 49*d**2 + 4*d - 12. Let v be j(-5). Let n = v - 822. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040926000 a multiple of 5800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpbbpppppb. Give prob of picking 3 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -3*l**5\/8 + 305*l**4\/24 - 565*l**3\/12 + 275*l**2\/4 - 2*l + 150. Factor x(o).\nAnswer: -5*(o - 1)**2*(3*o - 55)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l**2 - 2*l. Let q(w) = -6*w**2 + w. Let x = 9 - 6. Let z(j) = x*q(j) + 2*i(j). Find the second derivative of z(u) wrt u.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7668 - -7668.075. Which is the closest to -0.03? (a) 0.2 (b) 2\/15 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -15*h + 79. Let g be u(5). Suppose g*j - 9*j = -2*a + 15, 9 = 3*a - 3*j. Determine i, given that a + 4\/3*i**2 + 1\/3*i = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -43, -78, -145, -250, -399, -598, -853?\n\"Answer: -a**3 - 10*a**2 + 2*a - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2204 and 26.\nAnswer: 28652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 226\/7 < -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*(2 + sqrt(833) + sqrt(833))*-5 + (sqrt(17) - -3*sqrt(17)*1 - sqrt(153)\/(sqrt(72)\/sqrt(8)))**2).\nAnswer: -1260*sqrt(17) + 738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 16.7 (b) 3 (c) 9 (d) -1 (e) 4 (f) -2 (g) 2\/99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*u + 21. Solve z + 4 + 10*z + 5*z + 12*z**2 + u*z**2 = 0 for z.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1897 + 9250. What is d rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102110 is divided by 43.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, s: 5}. Give prob of picking 1 s and 3 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + (sqrt(121) - (sqrt(121) - -2*sqrt(121))))*-4*-3)\/(4*sqrt(88)\/(sqrt(8)*2)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 775*r**2 + 12208*r - 48576.\nAnswer: (r - 759)*(r - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u = 1192. Is 52 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9495 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 17*n + 1. What is q(19)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 4*r**2 - 15*r - 5*r - 5 - 11*r. Let h be n(-10). Solve -j = -u + 3*j - 12, 5*u - h*j = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 34011 = -6*r, 3*r = 7*l - 12*l + 16995. Does 70 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220815 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -75*v - 372. Let m be c(-5). Solve o + m = -2*d + 14, 15 = 3*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7212 in 5, 1, -6, -89, 4\/5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/67889?\nAnswer: -1\/67889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*f + 1\/4*f**2 - 3\/4 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4104.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4565 + -0.8997. Round p to one decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54420?\nAnswer: 2, 3, 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2467 + -2393. Calculate the remainder when a is divided by 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 772217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 8*i**2 - 10*i - 3. Let x be (-7)\/(28\/(-12))*-3. Calculate the lowest common multiple of 73 and p(x).\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 93*z**2. Let c(f) = -384*f**2 + 172*f**2 + 223*f**2. Determine s(c(l)).\nAnswer: 11253*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1306954 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence memr when four letters picked without replacement from ggmlmimemrirm.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 2:03 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-182)\/(-9) - 20\/90. Suppose n + 5*t - 50 = 105, 639 = 4*n + t. Calculate the highest common divisor of n and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -997.97 - -998. Sort -3, t, -26 in decreasing order.\nAnswer: t, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 + 341 - 174 + 8*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 11:01 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*u - 50*u + 63262457 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20318181, 20318184, 20318187?\n\"Answer: 3*x + 20318178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 923, 879, 843, 815, 795, 783?\n\"Answer: 4*w**2 - 56*w + 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 187*s + 731. What is j(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21237474 divided by -10618737\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 21*f - 79. Calculate a(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 6112 = -2*z - 6011, 264 = 4*z + 8*h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - 4*v - v)*(-4 - 2 + 5) + v - 2*v + 2*v - 10642493 + 10642493 - 22967*v to the form k + l*v and give l.\nAnswer: -22964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + v - 27 = 0, -25*v = -3*d - 27*v + 12 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125 and 1015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830*o - 820*o + 60 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91*t**2 - 250*t**2 - 148*t**3 + 22*t**3 - 544*t**2 - 2*t**2 wrt t?\nAnswer: -756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 27 - (780 + -803)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 255 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 73317*i - 73317*i. Let n(v) = -6*v - 7*v + 2*v - 3*v. Give n(u(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168) + sqrt(168)*-1 - sqrt(168))*6)\/(1*sqrt(216)))\/(sqrt(144)*-1*-6 + sqrt(144)*2*-5).\nAnswer: sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43624, 43630, 43636, 43642?\nAnswer: 43648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1607854378?\nAnswer: 2, 13, 607, 101879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.25496 + -0.01204. What is c rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 382469131*b**3 + 270993079*b.\nAnswer: 2294814786*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 5 - (4 + -6 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -69 - 3529?\nAnswer: -3598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20187753 to the power of 1\/2, to the nearest integer?\nAnswer: 4493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 25051?\nAnswer: -25043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j + 5*g - 10, 2 = 2*g. Let u = j + -37. Let w be 6\/(-15) + u\/(-5). Solve 0 = 5*a - 1 + w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 5*m + 11. Let w be b(5). Suppose 0 = -5*j + 19 + w. Suppose 3*y = -f + j, y - 13 = -5*f + 3. Solve 3*d = -z - f, 5*z + 5*d - 3*d = 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -330 + 339. What is the second derivative of 11*p - v*p - 67*p**5 + 11*p + 3 + 1 wrt p?\nAnswer: -1340*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2909.13 + -2934. Let u = o - -25. Let v = u - 0.1300011. What is v rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -54*b + 436. Determine j(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*s = 410*s - 297*s - 7904 - 11780 for s.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 20*j**2 - 23*j + 112. Give b(21).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 11:10 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 19*r**2 - 9*r + 15. Calculate the smallest common multiple of 42 and h(-9).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2763 - c**2 + 2763.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 599 = -466. Suppose 1217 - h = 4*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 306\/(-62) + 858\/(-13299). Which is the closest to 0? (a) -13 (b) -2\/7 (c) j (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-2*sqrt(104) + sqrt(104) + sqrt(104))*-1)\/(2*sqrt(288)) + (-2 + -6*(-1 + sqrt(1300))**2)*5).\nAnswer: -3000*sqrt(13) + 195200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 315.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/3))**(-3\/17)*c**(-23)*c\/(c**7\/c) assuming c is positive.\nAnswer: c**(-472\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*y**2 + 100*y - 15 = 0. Calculate y.\nAnswer: -3\/4, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17792*l - 37677 wrt l.\nAnswer: 17792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 12*m**2 + m - 8. Let p be r(12). Let j be (2\/18 - 100\/(-72))*p. Calculate the highest common divisor of j and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/5 < 455867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 19*b**2 + 18*b + 3. Let m be s(-18). Suppose -6 + 0 = -m*h, -h + 18 = f. Calculate the remainder when f is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/72908?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33550 and 375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 343680526 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 21*u = 24. Suppose 0 = -u*o - 5*q + 20653, 0*q - 10346 = -2*o + 4*q. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v - 4. What is the tens digit of t(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5\/6 + 22*b**4\/3 + 1363*b**3\/6 - 28987*b**2\/3 - 20172*b = 0. What is b?\nAnswer: -36, -2, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185.4*3.\nAnswer: -556.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let r(u) = -u - 10. Let s be r(0). Let y be (-3 - -2)\/(p\/s). Calculate the greatest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8358 is divided by 239?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104 + 98)\/((-33)\/110)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94)\/1504*28 + 466\/280.\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8714 is divided by 1729.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 4:18 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 11*h**2 + 11*h - 6. Let m be f(10). Factor -6*u**4 - 2*u**2 - m*u**3 + 2*u**4 + 4*u + 6*u**4.\nAnswer: 2*u*(u - 2)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.04061 decades to millennia.\nAnswer: 0.3104061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -189 - -266. Calculate the remainder when f is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 4*u - 3 - 23, -5*w - 357*u + 356*u + 17 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -1\/10 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 2*c = 5*x + 8, 2*x - c - 6 = 0. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgnnvvvgqvccvcgvvgn. Give prob of sequence cng.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 351\/243*(-9)\/(-2)*2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27\/((-118)\/(23010\/(-117)))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 11*n**6\/15 - 7*n**5\/6 - n**2 - 6. Find the third derivative of q(z) wrt z.\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/7, -2237 in descending order.\nAnswer: -1\/7, -0.3, -2237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77\/174 + -8\/29. Solve -1\/6*q**2 + 1\/3*q - d = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -35*(-2 - -1) + -3. Suppose 4*w = 4*o - k, w = -0*o + 3*o - 16. Suppose o*t + 23 = 5*h, 0*h - h - t = -1. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 7. Suppose -v*o + 3*d = -13, -o = -0*d - 5*d + 1. Suppose -18 = -5*u + 3*j + 54, -u - o*j = 4. Solve u = 4*w - 8*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806541.8 months in decades?\nAnswer: 15054.515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 64.12\nAnswer: -128.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 14*x**3 - x**2 + 2*x - 1. Let t be s(-2). Let b = t - -174. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 2 - 6 + 7)*(-97*r**4 - 8448*r + 8448*r).\nAnswer: 194*r**5 + 97*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-8)\/32)\/((-1)\/(-4)*-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d. Suppose -4*l = 6 + 18. Let u be x(l). What is the highest common divisor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2. Let a(r) = -244531*r**2. Calculate a(y(j)).\nAnswer: -2200779*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2. Suppose -2*a = -4*f - 18, d*a + 5*f + 17 = -3*a. Find the first derivative of q + 0 + a + q wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + l = -30. Suppose l*v + 35 = -235. Let x be -2*(v\/(-25))\/((-6)\/(-45)). Round x to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9619\/2 and 4811 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 823.9321ml to litres.\nAnswer: 0.8239321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 11. What is the greatest common factor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjbbjjbjbjjjjjjjjjj. What is prob of sequence jjb?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + g = 22, -5*m - g + 24 = g. Suppose m*n + 39180 = -5*k, 4*n + 30713 = k - 8491. Round n to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/290 - 1601\/580. Find the common denominator of o and 19\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8890.939s to nanoseconds.\nAnswer: 8890939000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1199 + 1199.69. Let r = -0.334 + 1.844. Let n = r - u. What is n rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5168.903g in milligrams?\nAnswer: 5168903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*p**5 + 8\/9*p + 26\/9*p**3 - 4\/3*p**4 - 8\/3*p**2 + 0.\nAnswer: 2*p*(p - 2)**2*(p - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -7 - (10 - (6 - (-8 - 7)) - -52)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 187 + 40*i**4 - 187 - 2*i**4 - 2 + 2 + (4*i**2 - 5*i**2 + 0*i**2)*(2*i - i**2 - 2*i) - 2*i**4 + 6*i**3 + i**4 - 4*i**3 + 3*i**4 - 5*i**2 + 5*i**2.\nAnswer: 41*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -966485 and -966496 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 11*t**2 + 17*t - 57. Let w be p(12). Suppose 0 = -8*x + 5*x + 15, 2*x + 2 = w*j. Solve 4*h - 5*d = 33, 2*h - 12 = j*d + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38437, 307378, 1037419, 2459128, 4803073, 8299822, 13179943?\nAnswer: 19674004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184 by -1.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*j - 91*j - 88*j + 367*j - 91*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*o - 72, 0*o - 5*o = 3*l - 103. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/10 - ((-3102)\/(-220) - 17). Let j = 21 - 15. Solve -3 = v*d - j*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8270, -12687, -20046, -30347, -43590?\nAnswer: -59775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -10112021?\nAnswer: -10112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -725144 (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + -0.23. Let r = -40 - -38. Put f, 0.4, r in increasing order.\nAnswer: r, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 5*a**2 - 6*a + 4. Let g be p(4). Let j be (-39)\/g + (-1)\/(-4). Let b = j + -5. Sort -2, -5, b in decreasing order.\nAnswer: b, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1160334 by 6.\nAnswer: -193389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 85*a - 364. Let h(m) = 28*m - 121. Let x(g) = -17*h(g) + 6*k(g). What is the derivative of x(i) wrt i?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10 + 45*z - 12 + 22 - 47*z. Let p(r) be the second derivative of -r**4\/4 - 11*r**3\/6 - 2*r. What is p(a(d))?\nAnswer: -12*d**2 + 22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 913430017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 83*p**4 + 447*p**4 + 288*p**4 - 249*p**4 + (3 - 3 + p**2)*(-p**2 + 2 - 2).\nAnswer: 568*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6674 - -6676.5644. Round s to 1 dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**4\/4 - 3*f**3\/4 - 84*f**2 + 165*f = 0.\nAnswer: -11, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6145.976ml to litres.\nAnswer: 6.145976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49532226 rounded to 3 dps?\nAnswer: -0.495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 757526\/162327*(-10)\/28*12.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 - 6*m - 4. Let x be o(-1). What is the second derivative of 13*b**2 + 13*b - 70*b + 5*b**x - 6*b**2 wrt b?\nAnswer: 100*b**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 49 = -2*m - 5*s, -m - 52 = 4*s. What is m rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-11)\/(-165))\/((-2)\/12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1109749.72 from 1049.\nAnswer: 1110798.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**3 + 8. Let j(o) = -5*o**3 - o + 9. Let i(x) = 5*g(x) - 4*j(x). Let a = 466 - 463. Let w(v) = 4*v**3 - 3*v - 3. Determine a*i(t) + 4*w(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 574273000999 and -4.\nAnswer: 574273000995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 2*g + g + 5*g - 2*g - 2*g + (-4 + 4 - g)*(3 - 4 + 0) + g + 0*g + 0*g)*(402 - 402 - 7*g) to the form j + m*g**2 + q*g and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(78)*-2 + sqrt(78))*-5 - sqrt(78)) + sqrt(78))*-4)\/(sqrt(24) + 1*sqrt(2904) + -2*sqrt(216)).\nAnswer: 25*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*o - 964 = -4*a - 100*o, 5*a - o = 1189. Calculate the remainder when a is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 - -0.035. Let n = t - -0.033. Let u = n + 0.072. Which is the closest to u? (a) -2 (b) -3\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2520, 4619, 6316, 7611?\n\"Answer: -201*k**2 + 2702*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajjjoijjaajojaojjvja. What is prob of sequence ia?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-15)\/297*6\/(-10).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2 - 4*s**2 - 2*s**3 + 3*s**3 - 1 + 2*s. Let n be a(4). Let x = n - -10. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6669417156 to the power of 1\/3, to the nearest integer?\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 24*x**2 + 52*x + 638. What is b(-25)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 619*n**2*u**2 - 96*n**2*u*z + 13*n**2*u + 493*n**2*z - 282*u**2*z + 2*u**2 wrt u?\nAnswer: 1238*n**2 - 564*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(76)*2*3)\/sqrt(4) - ((sqrt(1216) + 3 - sqrt(19)) + -4 + sqrt(209)\/sqrt(11)).\nAnswer: -2*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 571636316?\nAnswer: 571636315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 5*o + 7)*(-3 + 4 + 5)*(3*o**2 - 2*o**2 + 3*o**2) in the form b*o**2 + l*o**3 + a + v*o and give l.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-44) - (-41)\/(-44).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/27267303 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436*l - 1723*l - 581*l - 3248*l - 237*l.\nAnswer: -6225*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1325 - -1330. Let f(x) be the second derivative of -d*x - 1\/18*x**4 + 0 + 0*x**2 - 1\/30*x**5 - 1\/27*x**3 - 1\/135*x**6. Factor f(o).\nAnswer: -2*o*(o + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10066 + 2729 = -23*v. What is the remainder when v is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 r, and 1 e when three letters picked without replacement from {e: 4, l: 6, y: 1, g: 2, r: 4}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68720.24 hours to microseconds.\nAnswer: 247392864000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*h**3 - 4*h**3 + 53 - 4*h**3 + h**3 to the form t*h**3 + k + m*h**2 + v*h and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3, -2\/5, 9\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 446 (base 16) to base 9.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5921*l**3*y - 134164*l**3 - 14*l**2 + 82*y wrt y.\nAnswer: 5921*l**3 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d + 2*w + 7496869 = 0, -2*d - 2998752 = 3*w. Let q = 5956506 + d. Let f = -3127133 + q. Round f to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15297 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55204 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -103333100 (base 4) in base 3?\nAnswer: -11011022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10727\/63 + 437\/9. Let n = -132 - k. Which is smaller: n or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -1 (b) 54\/11 (c) 0.4 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 1 + 4 + 2 + 1 + 1 + 0 + 0 + (1 + 0 - 3)*(-4 + 2 + 0))*(4 - 3 - 3)*(-4*r**2 + 4*r**2 + r**3)*(-2*r - 2*r + 6*r).\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10822139569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/20)\/((-15)\/125). Suppose 0 = -3*n + t*n - 2. Solve 3*q + 3 = -3*h, 2*q - 4*h = q - n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -13)*(1920\/(-140))\/16\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141940, -142460, -143326, -144538, -146096, -148000?\nAnswer: -150250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 + a - 96*a**2 - a.\nAnswer: -102*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 4*n + 8, -u + 18*n + 16 = 22*n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -836?\nAnswer: -831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 13. Let k be o(16). Let w be (2\/1)\/(-2)*(k - 33). What is the highest common factor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 20*c**2. Let a(b) be the first derivative of -b**4\/6 + 39*b + 15. Let s(i) be the first derivative of a(i). Determine s(w(d)).\nAnswer: -800*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k - 16*k - 7*k + 35*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 10*m + 9. Let v be i(-9). Let d be 2\/4*0 + v. Is d != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 2*y. Let q be x(-2). Suppose l + 52 - 53 = 0. Sort -1, l, q.\nAnswer: -1, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179211*a - 179208*a + 2*w = 4, 6*w + 6 = 2*a + 18 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9650929 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + y - 4*y)*(-6*y**2 - 3*y - 7*y**2 + 10*y**2).\nAnswer: 21*y**3 + 21*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1621469244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-2 + (-12 - -1) + 3 + 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1691*s - 72622 = 76186 for s.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = -18*b + 268 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.368914515 rounded to two dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 2 - 2)*(5 - 1 - 3)*(0*o**3 + 0*o**3 - o**3) + 1222*o**4 - 63572 + 63572 as a*o**3 + z + y*o**4 + f*o + c*o**2 and give y.\nAnswer: 1220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 7*c + 13 - 11.\nAnswer: -7*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*y + 2*y + 6*y + 24*y + 4*y + 83 + (2 + 3 - 4)*(-4*y + 2*y + 4*y) - y - y + y.\nAnswer: 3*y + 83","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eighty-seven halves of a micrometer?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 431516*j - 5178148. Give w(12).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32109, 256894, 867063, 2055324, 4014385, 6936954, 11015739?\n\"Answer: 32118*d**3 - 16*d**2 + 7*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 14 = -j + 5*y, 3*y = 4*j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/7 - 4*f**2\/7 + 2*f - 8\/7.\nAnswer: -2*(f - 1)**2*(f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (4 - 0) - (-6 - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 3032182.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*x = -807, -83 = 2*i - 5*x - 400. Suppose -2*k + 702 = q - i, k - 4360 = -5*q. List the prime factors of q.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 - (9 - 12 - 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 370 - 369.817. Let s = 0.183 - f. Which is the closest to s? (a) -2 (b) 42 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfcm when four letters picked without replacement from {c: 1, f: 1, m: 2, r: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 15 = m - 2*v, -v = -3*m + 24. Let w be (-2)\/m + ((-301)\/63 - -5). Solve -3*x = 12 - w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a year in months?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.98 - -0.02. Let x = -1.24 + 1.3. Let c = 0.04 + x. What is the closest to c in -0.1, a, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15472903?\nAnswer: 557, 27779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -26142 minus 0.97?\nAnswer: -26142.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*h, 5*h = -5*x + h + 3. Suppose t + x*t - 24 = -4*c, -4*t - 2*c + 16 = 0. Find the first derivative of -a**2 + 6 - a**2 + 3*a**2 - 3*a**t wrt a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14021 + 14020.958726. Let u = g - -0.041. Round u to five decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.16259 take away -907510?\nAnswer: 907511.16259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-18 + -23 + 18 + (0 - 3 - -17))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 4\/7, 2653, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 396*v**2 + 40*v + 40. Give j(-1).\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 + 93. Solve -4*b - m = 18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*u + 13, -l + 22 = u - 6*l. Suppose u + 5 = 4*a. Suppose 7 = k + a. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 10*o**2 - 10*o - 13. Let k be j(8). Let c = 35 + k. Let n = c + -66. Solve -3*g + g = n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*p = 4*p - 2446, 5*a - 2448 = 3*p. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -2*q + 25. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -197, 23, 6, -29 in decreasing order.\nAnswer: 23, 6, 2, -29, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34711 + -20876. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i**2 + 18*i + 13*i**2 - 3*i - 7*i**2 + 14. Let u be j(-14). Suppose u*v - 168 = -2*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + l = -0*l + 14, -2*j + 4*l - 6 = 0. Suppose -5*f - r = -2813, -4*f = -8*f + j*r + 2262. Suppose -344 = -q + f. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -46, -45, -44?\n\"Answer: t - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/9*3)\/((-2)\/6). Let o be (-1192)\/(-22) - 0*f\/3. Let d = -54 + o. Put -0.2, d, -5 in decreasing order.\nAnswer: d, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77075322?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 33\/15) + 3. Which is greater: z or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38323 = 17*m - 41876. Calculate the remainder when m is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1068 + 1525. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2000)*2 + sqrt(2000) + sqrt(2000) - sqrt(2000) - sqrt(2000))*-2 - sqrt(2000))\/(-6*sqrt(250)*1))**2.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p - 7. Let q be r(5). Let a = 4 + -2. Let k = 2 + a. Which is bigger: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/(i*i**0\/i*i*i))\/i)\/i)\/i*i\/(i**1*i))**(-28)*(i**(2\/5)*i)**(-45\/4)*i**0*i\/i**(-3\/5) assuming i is positive.\nAnswer: i**(1957\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 = 1. Suppose d + n = 1, 3*d + 19 = l*d - 5*n. Suppose b = d*b - 55. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {c: 3, z: 2, g: 9, p: 2, d: 1, o: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3007214 (base 9) to base 6.\nAnswer: 54141321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12001 (base 3) to base 6.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - z + 0 - 4*z + 3*z**2 + 1. What is the remainder when o(4) is divided by ((-11)\/33)\/(2\/(-24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 2:10 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2))\/(f*f**(4\/7)))\/(((f*(f\/(f\/((f**(-2\/7)\/f)\/f))*f*f)\/f)\/f)\/(f\/f**(-3\/5))))\/((f**(1\/3))**30)**(-2\/13) assuming f is positive.\nAnswer: f**(843\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 804412.\nAnswer: 80441.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 c when three letters picked without replacement from rrrerrrrcceerctcrr?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 6:52 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1481522, 1481509, 1481488, 1481459, 1481422, 1481377?\nAnswer: 1481324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 555 and -560140610.\nAnswer: -560140055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 + 96. Let l(k) = k - 1. Let x(u) = -43*u + 51. Let i(o) = q*l(o) - x(o). Find the first derivative of i(f) wrt f.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1.7 (b) 0 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 + -122. Let g be 2 - (r + -4 + 4 + 0). Let u(b) = -b**2 + 5*b - 2. Give u(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 6 = -3*c, -4*h = 2*c - 18 - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i\/(i**(-4\/9)*i))*i)**49)**(-17))**(2\/25) assuming i is positive.\nAnswer: i**(-1666\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 104 (b) 0.4 (c) 5 (d) -1.8 (e) 2\/9 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n - 7. Let h(w) be the first derivative of -9*w**2\/2 + 11*w + 5113. Give 5*h(g) + 8*u(g).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrrssqsrrjjsrsqrjjqj. What is prob of picking 2 s and 1 r?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*i + 8, 2*i + d + 8 = -d. Let n(g) = -11*g**2 + 2*g + 2. Let p(m) = m**2 - m - 1. Let w(z) = i*p(z) - n(z). Let f(x) = 2*x**2. Determine f(w(c)).\nAnswer: 162*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 947\/152 + -49\/8. What is the nearest to -3\/4 in t, 3, 1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - 0) + (29 - ((-18 - -14) + 26)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 7:16 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30 and 94837.\nAnswer: -2845110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3255*j**2 - 1 + 3395*j**2 + 0)*(2*j - 2*j - 2*j) to y*j + w*j**2 + i*j**3 + t and give i.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -29 (b) -2\/17 (c) -3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**2 + 2*o**2 - 2*o**2 - 9*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -243 - 1?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-16)\/(-144))*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.8 - -4.8. What is the nearest to 2\/23 in r, -0.01, -3\/5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, -0.389, 4, 13407, 0.1?\nAnswer: -0.389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -181 by -36.\nAnswer: 181\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -16*c - 4. Let r(y) = y - 1. Let a(u) = j(u) - 4*r(u). Suppose 5*g - 2 + 7 = 0. What is the least common multiple of a(g) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 6 = 19. Let f(a) = t + a - 12 + a. Calculate f(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 430, 1300, 2736, 4732, 7282, 10380?\n\"Answer: -a**3 + 289*a**2 + 10*a + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 23*n + 294. Calculate x(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 5)*((-3 + 1 + 4)*(-2*m + 2*m - 2*m) + 0*m - 2*m + m + 5*m - m - 3*m) to v*m + l and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + 75. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -365*w + 363*w + 5830. Suppose -9*f - w + 7613 = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 47*n - 46*n + 23, 0 = -t + n + 2 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-30))\/(-30 - (-8030)\/292)?\nAnswer: 9\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*1102.\nAnswer: 15428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32627?\nAnswer: 7, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*q + 23 - 2*q**3 + 2*q**2 + 16*q + (3*q**2 + 2*q**2 - 3*q**2)*(3 - 3 + 13*q).\nAnswer: 24*q**3 + 2*q**2 + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11072, -9924, -8010, -5330, -1884, 2328, 7306?\n\"Answer: 383*a**2 - a - 11454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2 - 0. Let f be k + (0\/2)\/(-1). Let h be 12\/18*3\/f. Which is the second smallest value? (a) -0.2 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -o - 37, 5*n + o = 2*o - 51. Suppose -2*c = -3*c - 5. Let t = c - n. What is the least common multiple of 22 and t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 11*j - 63. Let w(t) = 25*t**2 - 11*t - 11. Let u(d) = 5*d**2 - 2*d - 2. Let h(b) = 11*u(b) - 2*w(b). Let g be h(1). Solve 1 = -g*p - j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/8 - 2\/(-8). Let v(f) = -7*f + 49. Let z be v(8). Let i be 1 + -1 + z*(-6)\/21. Sort 4, i, k in decreasing order.\nAnswer: 4, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 + -0.34682?\nAnswer: -246.34682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52007, 104420, 157221, 210416, 264011, 318012?\nAnswer: 372425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-19708)\/65)\/((-4)\/110). Let v be (-9)\/(-6) + a\/4. Suppose -9*m + v = 5*m. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 5. Suppose -2*p = -5*i + 1, 2*p + 28 = -6*i + 2*i. Let u = p - 3. Let h(x) = -2*x - 9. Calculate u*d(t) - 6*h(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3872 or 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2621904, -5243807, -7865710, -10487613?\n\"Answer: -2621903*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.33640272 + -0.1378.\nAnswer: -0.47420272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*l - 2*b + 4 = 0, 4*b = -8. Let z(m) = 5 - 1 - 41*m**3 - 2*m + m - 5*m**2 - 882*m**3. Let q be z(l). Round q to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1766601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 216, 288, 400, 558, 768, 1036, 1368?\nAnswer: 1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -92835, -92669, -92399, -92031, -91571, -91025, -90399?\n\"Answer: -y**3 + 58*y**2 - y - 92891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1450 and 121\/18.\nAnswer: 13050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13014 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y + 1572 = 89*y + 66*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (27\/18)\/(51\/170). Suppose -3 + 92 = v. Suppose -2*k + v = 7. Solve 4*l - 4*y - k + o = 0, 12 = -2*l - 4*y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k + 10*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n**2. Suppose y - 6 = 2. Let r(k) = -5*k + y*k - k. Give z(r(d)).\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(((-15)\/175)\/((-52)\/10)). What is the highest common factor of 78 and w?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*(-4 + 1 + 5)*(464 - 9*x - 235 - 226) to a*x + o and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852197 a multiple of 501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.4, -0.04, -17?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than or equal to 501015\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -109\/5. Let l be (-95)\/38*4\/50. Which is the fourth biggest value? (a) l (b) g (c) 3\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 802 = 261. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-10))\/((-56)\/(290080\/(-84)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-21) - (-4)\/(-14). Let m(v) = v**2 + 6*v - 27. Let s be m(-9). Sort s, w, 2\/5.\nAnswer: s, 2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**2 - 7496*j + 22452 = 0 for j.\nAnswer: 3, 1871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -5. Let f = 5 + c. Suppose 0 = -f*n + h + 1166, -105 = n + h - 495. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b - 2*b)*(-2*b + 2*b**3 + 2*b) + 2805*b - 2805*b - 67*b**4.\nAnswer: -69*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -22. Solve -1 = f - b*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15717 is divided by 101?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*5.2.\nAnswer: -0.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 204*g**3 - g**2 - 7404*g + 107292686 wrt g?\nAnswer: 612*g**2 - 2*g - 7404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 326 and 264824144.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -2. Let f(p) be the third derivative of -3*p**6\/40 - p**5\/60 + p**3\/6 - 671*p**2. Calculate f(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8, -4, 10, 40, 92, 172, 286, 440?\n\"Answer: n**3 - n**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in seconds?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 411766291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121 and 8184.\nAnswer: 90024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*f + 8*f + 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*f - 41*f + 21*f)*(-1 + 2 - 2)*(-2 + 2 - 2).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*b - b = 0, -5*m - 3*b + 25 = 0. Solve -8 - 2 = -m*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 + 2.53. Let f = 2 - g. Let t = -0.1 + -1.9. Which is the third biggest value? (a) 0 (b) f (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 740 and -6 + 5423\/51 - 1\/3.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 4, l: 3, u: 4, h: 7, p: 1}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide (132 - 25)\/(15\/(-9) + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - 4*c + 2*c + (3*c - 6*c + 4*c)*(1 - 1 + 1) + 3*c - c + 0*c + 3*c + 2*c - 4*c in the form q*c + f and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 divided by 7?\nAnswer: 596\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/440 and 51\/440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 209524204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1454100 rounded to the nearest ten thousand?\nAnswer: -1450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.89501993 - 0.895. Round q to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -67 (b) 1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6*h**(-2))\/((h**5*h)\/(h\/h**0)))\/(((h\/h**6)\/h*h**(-2\/3)\/h)\/(h**(-2))**44) assuming h is positive.\nAnswer: h**(-244\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 2*w - 4*w)*(2*w**4 - 2*w**4 + w**4) + (-2 - 44*w + 44*w + 11*w**2)*(25*w**3 - 40711*w + 40711*w).\nAnswer: 277*w**5 - 50*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 568*w + 10764. Is 242 a factor of v(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**7*q\/(q*q\/q**6))\/((q*q**(2\/5))\/(q*q**(-3\/8))) assuming q is positive.\nAnswer: q**(489\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 15300?\nAnswer: -15262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*u**2 - 143*u**2 - 78*u**2 + u**2 - u + u - 2*u**2 + 2*u**2 + u**2 + (-u - u + 4*u)*(1 + 2*u - 1) + (0*u**2 + u**2 - 3*u**2)*(0 + 4 - 3).\nAnswer: -168*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 558.\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/10*80\/6. Let q(c) be the first derivative of c**2\/2 + 24*c - 111. Let s be q(v). Sort s, -3, -2 in decreasing order.\nAnswer: s, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-1\/5)*a*a*a**(-1\/12)*((a*a\/((a*(a*a\/(a**(-2\/9)*a))\/a)\/a))\/a)**(2\/133) assuming a is positive.\nAnswer: a**(9331\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -29.5. Let s be (-3)\/2*12\/(-9). Suppose 5*p + 4*h + 4 = 0, s*h = -1 - 1. Which is the second smallest value? (a) 0.4 (b) p (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -28*k - 3. Let m be f(-17). Let l = m - -45. What is the remainder when l is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 723*c + 728. Let l be t(-1). Solve -l*p + 315 = -50*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**5\/8 - 657*g**4\/4 - 17829*g**3 + 114537*g**2\/4 + 9073035*g\/8 - 4054050 = 0.\nAnswer: -231, -208, -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 30. Let m(o) = o**3 + 5*o**2 - 14*o + 2. Let d be m(r). Solve d*i = -3*n + i + 19, -i = -5*n + 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2. Suppose -5*f = -3*h + 30, -5 = 4*f + 7. Let z(p) = 2*p**2. Determine h*k(s) + 6*z(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -4 (c) -1\/8 (d) -14 (e) -2\/3 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6721*f**4*q**2 + 12*f**2*q**3 - 4*q**3 + 23*q**2 + 526*q wrt f?\nAnswer: -26884*f**3*q**2 + 24*f*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. What is the remainder when 40 is divided by ((-196)\/(-21))\/(c\/3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x*(x**(-2\/7)*x)\/x*x)\/x)*x)\/(x**(-2)*x))\/(x**2\/(x\/(x*x\/(x**(-4)\/x)*x))))\/((x*x**(-1\/3)\/x)\/x**7)**(-46) assuming x is positive.\nAnswer: x**(-7225\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqzxizzxlqxxi. What is prob of sequence iill?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 31. Let i(o) = -o - 11. What is the lowest common multiple of d and i(-17)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 5*m + 2. Let n be r(-7). Let d be n\/(-42) - (-24)\/14. Let u(p) = -4*p**2 - p**d + 4*p**2. Let f(z) = 5*z**2. Calculate f(u(i)).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -962*a - 24051. Determine g(-25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224490 and 96210?\nAnswer: 673470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**3 + s**2 + 5*s - 5. Let u(b) = -b**3 - b**2 - b. Let r(x) = k(x) + 5*u(x). Let w be r(-4). Are -5 and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.68556 * -0.1.\nAnswer: -0.268556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3083863363 to the power of 1\/2, to the nearest integer?\nAnswer: 55533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 + 46. Which is the second smallest value? (a) 0.2 (b) 3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 5*k - 14)*(6*k**2 - 2*k**2 - 2*k**2).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.752 to 0 decimal places.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*s**5\/15 + 52*s**4\/5 - 6*s**3 + 8*s**2\/15 = 0.\nAnswer: 0, 4\/37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14639 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 28623 and -3829539.\nAnswer: -3800916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*n = -0*i + 369, 3 = -3*n. Calculate the greatest common factor of i and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i - 5. What is the tens digit of t(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -11*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**3*c**(-28)*((c**39\/c)\/c*c)\/(c\/(c*c**40)) assuming c is positive.\nAnswer: c**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50528635 is divided by 760?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z + 15 = 0. Suppose -h = z*h + 8. Let s be (1\/(-2))\/(h\/20). Solve q + 13 = s*o, 4*o - 5*o - 5*q - 13 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005364 rounded to 6 decimal places?\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -1. Suppose -l - y*l = -5*z - 70, -2*z - 76 = -4*l. Let x = -79 - -99. Calculate the least common multiple of x and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Let u(j) = -6 - 4*j + 2 - 9 + 4*j**2 + 16 - j**3 + 0*j**2. What is the units digit of u(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-396)\/(-154))\/(8\/5908) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106\/210 - (104\/40 + -2).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 116.9 in 0.2, -2\/11, 1\/6, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092298215 to the power of 1\/2, to the nearest integer?\nAnswer: 33050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 146\/8 + 6 + 150\/(-24). What is the second derivative of 2 + 10*q + 26*q - 3*q**2 - p*q - 3 wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 13 = 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6160 divided by -880\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6905949623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/14)\/(2074\/427).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2348\/(-216603))\/(2\/9)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 + 34 = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 7*n + 7. Let q be f(-7). Suppose -43 = -q*w + 62. Calculate the least common multiple of 12 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 30.8, -799, -4.\nAnswer: -799, -4, 5, 30.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 167 + 20573?\nAnswer: 20762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 114486919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 5*a**2 + 34*a - 22. What is h(-7)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10807, -30587, -68273, -132817, -233171, -378287?\nAnswer: -577117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/20152 and -71\/440.\nAnswer: 100760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28821 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.097982349018 - 0.3198?\nAnswer: -0.417782349018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342 + 406 = 11*o. Calculate the remainder when o is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqppeeqmlkllmqlpkkmk. What is prob of sequence ek?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 107*i - 2336. Determine t(44).\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3524548 and 6925?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2182.01251 + 2182. Round a to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1182 = 7*i + 48. Let k = i + -158. Solve -11 = 3*f + k*o, 10 = 5*f - 5*o - 30 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 1 + 6 + -2. Let f = -1 + i. Suppose 9 = 3*s, 0 = 5*j - f*s - 74 - 22. What is the remainder when j is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12974 + -3?\nAnswer: 12971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s\/s**(-3))*s*(s\/(s*s**(5\/3)))\/s)\/((s*(s*(s\/s**(-5\/4))\/s*s*s)\/s)\/s**21) assuming s is positive.\nAnswer: s**(145\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-39)\/(-6))\/(-13)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-61)\/(610\/4))\/((-5)\/((-100)\/8))*-63.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 7:24 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 592 = 69*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. Let l(o) = 23*o + 12. Let b be l(-8). Calculate the common denominator of d + b\/(-56)*-1 and 71\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-3)\/(-2))\/(-3))\/(11\/(-61 - 5)). What is the second smallest value in -2, -4\/17, g, 2?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 96 = -106. Suppose y*d + 2*v - 1462 = 0, -3*d + 323 = 3*v - 547. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21203768291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -6. Solve -9*w + c = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + g - 2*g)*(-5 + 1 + 6) + 3244 - 38*g - 3244.\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (0 - -1) - (1 + 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + 10*c - 2*c as o + l*c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -311588*o**2 + 6*o + 2. Let b(w) = -4*w. What is z(b(j))?\nAnswer: -4985408*j**2 - 24*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**6\/10 - 69*n**5\/25 + 141*n**4\/10 + 86*n**3 + 1443*n**2\/10 + 507*n\/5 - 10379. Determine g so that d(g) = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l - 75*l**2 + 8*l + 80*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 3*l - 2. Let i be z(-3). What is the second derivative of i*o + 16*o - 58*o + 9*o**2 + 18*o wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 x when four letters picked without replacement from ppppxxxpppppppp.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 - (-13 + 12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3705 - -2440. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64 - 16 - 24) + (-11 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1965, 1508, 1009, 462, -139, -800?\n\"Answer: -s**3 - 15*s**2 - 405*s + 2386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*x, 5*r - 397 = -0*r - x. Suppose -z + r = -5*c, 0 = z - 3*c + 5*c - 45. What are the prime factors of z?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6583 is divided by 214?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11677.\nAnswer: 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*c - 1710 = -1056*c + 130. Factor -2\/5*r**c - 12\/5*r - 16\/5.\nAnswer: -2*(r + 2)*(r + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22601904 divided by 52.\nAnswer: -434652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/(-77)*(-21)\/9. Suppose -12 = -5*t - 2. Let p be 20\/(-35)*t\/8. Which is the biggest value? (a) 0.3 (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 47\/2 + (-3)\/6. Let a(s) = 5*s**2 + s - 3. Let p be a(1). Let i = h - p. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3548331.25666340667 + 85.95659440667. Let h = 3548237 + v. Let i = -8.3 - h. Round i to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**3\/6 - t**2 - 9*t. Let a(b) = 5*b + 2. Let k(g) = -14*g - 6. Let z(v) = -11*a(v) - 4*k(v). What is 4*f(d) + 5*z(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*z**4 + 38*z - 2.\nAnswer: 780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7)*s)\/(s\/(s*s*s**(2\/5)))*s*(s*s\/(s\/(s\/(s*s*s**(-4)))))\/s*s**(2\/3)*(s*((s**6*s)\/s)\/s*s*s*s**(7\/6)*s)**(-48) assuming s is positive.\nAnswer: s**(-50468\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddvd when four letters picked without replacement from dvdddddvddddvd.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 533443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a day in minutes?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 985, 3899, 8751, 15541, 24269, 34935, 47539?\nAnswer: 62081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 351758807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216977545 to the nearest integer?\nAnswer: 14730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 618000572*-2\nAnswer: -1236001144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, l: 1, j: 1, o: 1, w: 3}. What is prob of picking 1 l, 1 j, and 1 w?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -15*c**2 + 390*c**2 + 1 + 12*c**2 + 22*c**2 - c. Is j(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(484)*-1)\/(2*sqrt(72)).\nAnswer: -11*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**5\/10 - 3*j**2 - 13*j. Differentiate g(w) with respect to w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19\/(2\/6 + 1\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020121111 (base 3) in base 14?\nAnswer: -8d02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kukvuzukvxvvaxuuuuk. What is prob of sequence zv?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10\/(-4)*576\/(-160) and 31 - ((-27)\/(-6) + 1\/(-2))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let d(l) be the first derivative of 7\/3*l**3 + 0*l - 72 + 0*l**2. Determine d(c(f)).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 145 = 7*o. Let g = 134 + -132. Suppose -2*x + x = g*u - 209, -4*x + 809 = -u. What is the greatest common divisor of o and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.4 (c) -1 (d) -88 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-126)*2\/4. Let h(d) be the third derivative of -m*d**3 - 1\/210*d**5 + 0*d + 0 + d**2 - 1\/42*d**4. Factor h(c).\nAnswer: -2*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 9*t**2 - 2*t - 1. Suppose 2*m + 2*c - 5*c = -27, 3*m = -4*c - 15. Let q be d(m). Are q and 16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85*((-31 - -22 - -8) + 9\/15)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2 - 71632*x - 641392928 = 0. Calculate x.\nAnswer: -17908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 0*f - 1\/2*f**2 + 166. Let b(h) = 2 - 7*h - 1 + h. Determine -2*b(r) + 11*z(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 4*z - z)*(6 + 1 - 38 - 60).\nAnswer: 273*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1592 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: What is (-208250)\/(-4900)*(0 - (-8)\/10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 5*u + 2*u)*(-2*u - 8*u + 5*u).\nAnswer: 35*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - l + 4. Suppose f + 1 = 4. Suppose -5*a - 4*r = 0, f*a = 2*a - 3*r - 11. Is i(a) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -423*d - 3. Suppose 1 = -5*g + 4*g. What is the units digit of l(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -267. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*v - 7, 0*v - 4*v + 7 = -w. Let x be (-4 - -3)*3 - -7. Let s = x + -1. What is the least common multiple of s and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**4\/4 - 10*c**3\/3 - 13*c**2\/2 - 5*c - 1. Let f be v(-9). Let i = f + -19. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -42 (c) 0.23 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 777.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**2 + 2*n + 10. Let i(r) = 1. What is i(w) + t(w)?\nAnswer: -5*w**2 + 2*w + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Let u(l) = 10*l + 3*l**2 - 5*l + f - 4*l**2. Let r be u(5). Calculate the greatest common divisor of r and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 + -25. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147) - (sqrt(147) - sqrt(147)*-2)*-6) + sqrt(147) - sqrt(147))**2 - (1 + sqrt(147)*-1)**2) + ((sqrt(147) + 0)*-2)**2*-4*3.\nAnswer: 14*sqrt(3) + 45863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36980 and 344?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aax when three letters picked without replacement from wnaiwxi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2499)\/168 + (-120)\/(-64)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035319 to six dps.\nAnswer: 0.000353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veshr. What is prob of sequence hs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60586320 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h + 3*h + 5*h + 5*h + 14*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) 1\/2 (b) 0.02 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/30)\/((-2)\/(-80)*8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 6*d + 2. Let c be z(6). Let b be (3\/c)\/(4 + -1). Let s = -0.01 + 2.01. What is the second biggest value in b, 4\/5, s?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**5 - 67*o**4 + 1948*o**3 - 6193*o**2 + 6010*o - 1696 = 0.\nAnswer: -53, 1\/2, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + m**2 - m + 9. Let v = 15 + -15. Calculate the remainder when n(v) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z. Let x(b) = 5*b + 6. Let p be x(-1). Let r(j) = -2*j - 1. Let v(w) = 31*w**2 - 6*w - 3. Let t(k) = p*v(k) - 3*r(k). What is t(h(m))?\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 12*k**3 - 5*k**2 + 31*k + 1. Is r(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33, -171, -417, -771?\n\"Answer: -54*d**2 + 24*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 62?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*x**2 - 33*x**2 + 797*x + 91*x**2 - 31*x**2.\nAnswer: -x**2 + 797*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 467\/34 and 15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 1:34 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5655.1l?\nAnswer: 5655100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7+933\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3225 a factor of 1077876412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, d: 7}. Give prob of picking 2 m.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-397 + 11 - 114)*(-12*w + 5*w**3 + 12*w).\nAnswer: -2500*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 12 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/3)\/(1\/(-3))*((-14335)\/549)\/47.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8*u = 15. Suppose -u*d + 6*d - 4*z - 47 = 0, d = z + 14. Let j be 6 - (4 + -6 - -8). Solve d = -3*p - j*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 4.3. What is the nearest to -1\/4 in a, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109996662*n**2*x - 915*n**2 - 17049 wrt x?\nAnswer: -109996662*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -9) + (-3)\/3. Suppose -1 = s - j. Suppose 7*k - 2*k + 5*x = 35, 3*x = -k + s. Calculate the lowest common multiple of k and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -210 - -206. Which is the fourth biggest value? (a) 1 (b) -0.1 (c) f (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*w + 16, -3 = 4*m - 5*w + 2*w. Suppose -2*c - 40 = m*c. Let b be 4000012\/c + 6\/4. Round b to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, l: 5, z: 3}. Give prob of picking 1 z, 1 l, and 1 h.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -381*v + 11839. Let u be s(31). Solve -71 = u*x - 99 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccqi when four letters picked without replacement from {q: 1, i: 4, c: 9}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112646 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 25. Let t = -6.3 - -42.3. Let f = -35.89 + t. Do f and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 1:27 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 190060 = -5*o, -7*c + 4*c + 113994 = 4*o. What are the prime factors of c?\nAnswer: 2, 31, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 - -95. Suppose -537 = -4*h + z, -400 = -o*h + h - 2*z. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101111110101011 (base 2) to base 12.\nAnswer: -44123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3))**(-23)*b**17*b\/(b**11\/b*b) assuming b is positive.\nAnswer: b**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (588\/(-9800))\/(9\/12)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3801, 7584, 11365, 15144?\nAnswer: 18921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-118)*((-72)\/156 + 686\/1092). Sort -8, 0, a, 0.1, -1\/2 in decreasing order.\nAnswer: 0.1, a, 0, -1\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 1. Let g be 1 - -3 - 155\/31. Let r(a) = -4*a - 3. Give g*r(m) + 6*c(m).\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - 9 + 19 - 11 + 25*j**4 - 2*j in the form s*j**3 + z + h*j + q*j**2 + o*j**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*72210.\nAnswer: -2166300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2617*s + 40489 = -11989 - 15564 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2368445 (base 13) to base 5\nAnswer: -10301112142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 8*f**2 - 5*f + 16. Let l be i(-7). What is the highest common factor of 4 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*a - 2928 = 55*a. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4 - 6 = -w, 3*h + 8 = 4*w. Factor -4\/5*k**2 - 2\/5*k**3 - 2\/5*k + h.\nAnswer: -2*k*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 = 3*n, -5*n - 4*a + 9 - 2 = 0. Solve -12 = -5*y + n*g, -2*y - g = 3*y + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118506 to the power of 1\/2, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4053210 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khaakkqhhkahkuh. Give prob of sequence qk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -7 (b) 11 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.351793593 rounded to 3 dps?\nAnswer: 0.352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 4286504?\nAnswer: 3\/4286504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 585811 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -15, 5, 45, 111, 209, 345?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 6*t. Let b(m) be the second derivative of t - m + 1\/24*m**4 + 0*m**2 + 0*m**3. Find a such that b(a) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(119)*-2 - (-2*sqrt(119) + sqrt(119) - sqrt(119) - sqrt(119) - sqrt(119))*2)\/(1*sqrt(112)*2) + 1)*-3.\nAnswer: -3 + 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -200535 + -1545?\nAnswer: -202524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-127)\/(-5) - 8\/20. Calculate the greatest common divisor of 10 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77926 or 77931?\nAnswer: 77931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 385061 plus -1?\nAnswer: 385060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 401, 937 in decreasing order.\nAnswer: 937, 401, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15436169945858\/68055 - -2948647542\/13. Let x = 2\/4537 - o. Let h = -3\/5 + x. Which is the nearest to -2\/5? (a) h (b) -1\/7 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*t + t**5 + 2*t - t - 4*t**5 wrt t?\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -2. Suppose -2*a = d*o - a - 62, -2*o - a + 26 = 0. Calculate the greatest common factor of 24 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1069 - 1067. Find p such that 8\/9*p**3 - 2\/9*p**4 + 0 - 2\/3*p**s + 0*p = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u - 1. Let y(i) = 4*i. Let r(h) = 3*h. Let n(l) = -5*r(l) + 4*y(l). Give c(o) + 6*n(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4349429445140+-3\nAnswer: 4349429445137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15500939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**5 + 3554*t**4 + 6106*t**2?\nAnswer: 60*t**2 + 85296*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, k: 2}. What is prob of picking 1 k and 1 s?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28232 divided by -45.\nAnswer: 28232\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 + -2.89. Let p = -0.5 - -0.4. What is the nearest to j in p, 3, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 941, 1881, 2821, 3761?\nAnswer: 4701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/30)\/(6\/20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -13798*((-7)\/56)\/((-1)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2210011121 + -1?\nAnswer: 2210011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 993, 144 in descending order.\nAnswer: 993, 144, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 4*v + 4*v**3 + 6*v - 1 - 3*v in the form j*v**3 + u + x*v + r*v**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 1. Let w(m) = -1. Suppose -3*u = 55 - 70. Give u*w(j) + 5*k(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 1, 6.\nAnswer: -32, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -68*y - 97 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/(-3))\/12)\/((148\/56)\/37)*-9.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -170303632 - -170303595.6936796. Let l = y + 32.30631866. Let b = 4 + l. Round b to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.44899436 to 3 dps.\nAnswer: 2.449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/(-44))\/((-30)\/14 - (-1416)\/1239). Determine a so that 0 - w*a**4 + 18\/11*a**2 - 12\/11*a + 0*a**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2148, 4336, 6524, 8712, 10900?\n\"Answer: 2188*y - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -1\/280, 0.5, 3.2, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*w - 359 + 922 - 101*w**2 - 354 wrt w?\nAnswer: -202*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, w: 3, t: 2, b: 1, c: 3, m: 1}. Give prob of picking 2 c, 1 w, and 1 u.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5 = 0, 4*a + 0*a = -3*j + 5. Let v be a\/(-6) + (-10)\/(-30). Is 53 + v + 0 + 2 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46404949 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -51773.009.\nAnswer: 20709.2036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 7, p: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.4 + 0.4. Let x = -0.2 - 0. Let b = x + 0.1. Which is smaller: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7686239 + -4127511769\/537. Let n = y + -2\/179. What is the common denominator of -7\/9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*j + 9 = a, -4*j = -a - 9. Suppose 85 = 5*y - 5*p, -j*y + 36 = -y - 4*p. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -349, -16, 4, 0, 2 in decreasing order.\nAnswer: 5, 4, 2, 0, -16, -349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4059367530?\nAnswer: 2, 3, 5, 167, 810253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/12)\/((-11)\/(-4) - 3))\/1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1204710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419106.\nAnswer: 2, 3, 23, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 + 39 - -57) + -45.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 545 - 1815 = -j, j + 2*q = 1277. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 - 534*m**2 - 543*m + 1901. Give h(268).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/9*3\/(-2). Suppose d = -j*d + 84. Solve 4*c = -5*m - d, -c - 4*c + 2*m - 2 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r + 2*r - 11*r in the form j + f*r and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 145763 (base 8) in base 11?\nAnswer: 36255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40726.962 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194, -0.5, 7, -57\/14 in descending order.\nAnswer: 7, -0.5, -57\/14, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1134*v. Let y(x) = -4*x. Calculate h(y(g)).\nAnswer: 4536*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 63773*u - 18749255. Determine w(294).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -6*l - 4617*r + 4622*r, 4*l = 2*r - 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2322 and 8318092.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (1 - (-2 - 1) - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/198 and -41\/522.\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1 - 0.6. Let t = 0.3 - m. Let x = t - 3.0044. What is x rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 75195, 75196, 75197, 75198?\n\"Answer: y + 75194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187 and 4267?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-5)\/(v*v\/(v*v**(1\/4)))**(-40) assuming v is positive.\nAnswer: v**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v + 26 - 98. Calculate the highest common divisor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = -0. Calculate the smallest common multiple of 7\/((-49)\/(-168)) + 0\/x and 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9060, 18362, 27666, 36972, 46280?\nAnswer: 55590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 h, and 1 t when three letters picked without replacement from {m: 1, q: 1, b: 1, t: 2, d: 1, h: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31875 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4 - 51932*k**3 + 678882372*k**2 - 120503289952*k - 243722524864 = 0.\nAnswer: -2, 182, 25876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52204241 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0294, -11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/5*(-10)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1*z\/(z**(11\/4)*z*z))**(-28) assuming z is positive.\nAnswer: z**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 27*b + 2. Let w be o(0). Solve -3*i + 6 = 0, w*s + 10 = -2*s - 3*i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -113, -415, -1035, -2087, -3685?\nAnswer: -5943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -8*v - 128. Let y(c) = 32*c + 505. Let k(s) = 13*n(s) + 3*y(s). Give k(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.26 + -1.6. Let q = u - -0.04. Let f be (-44)\/10 - (12 - 17). Sort q, 0.3, f in increasing order.\nAnswer: q, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11456532.\nAnswer: 2, 3, 37, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 2*l**2 - 2*l - 3. Let v be m(-2). Let j = -170608\/5 + 34123. Which is greater: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/255213 and 29\/36459.\nAnswer: 255213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -7098*y**5 + 3119272*y**4 - 213190306*y**3 - 30703089516*y**2 - 18944907008*y - 2911449088 = 0.\nAnswer: -67, -1\/3, -2\/7, 3296\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 m when four letters picked without replacement from bbmbmbbbbbbbbbbbbb.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b (base 13) in base 6?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j**2 + 5*j - 5. Let g be x(-6). Let i = g + 373. List the prime factors of i.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11150 and 342974?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001111 - -110000001110101?\nAnswer: 110001010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 22*f**2 - f. Let a(o) = 45*o**2 - 3*o. Give 4*a(b) - 10*w(b).\nAnswer: -40*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2788016 and -99\/36208.\nAnswer: 2788016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.93 + 0.03. Let a = -36 + 36.6. Let b = a + t. Is 2 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20968551 to the power of 1\/2, to the nearest integer?\nAnswer: 4579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 2*c + 1 + 19, 10 = -c - 5*s - 18 + 33 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b, -2*f + 5*b = 6*b - 310. Let u = f - 137. Sort 0, 5, u, 3 in increasing order.\nAnswer: 0, 3, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*f**2*t**2*v**2 + 6*f**2*t**2 - 2*f*t**2*v + 5*f*t*v**3 - 25*t**2*v wrt v.\nAnswer: -26*f**2*t**2 + 30*f*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5501?\nAnswer: 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1781)\/274*42\/39.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 + 4*m**2 - 4*m**2 + (2*m - 2*m**2 - 2*m)*(0 + 0 + 2*m) + m**3 - 2*m**2 + 2*m**2 - 41*m**3 + 13*m**3 + 9*m**3.\nAnswer: -21*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/63 - (0 - 308\/36). Solve -7 = p*z + 29 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -32 + (1 - (-7 - (-4 - -1))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 = 2. Let u(i) = -2*i - 1. Let w be u(z). Let o be (-2)\/6*3\/w. Which is the third biggest value? (a) 0 (b) -4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 3:13 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -16. Suppose -g = -4*t - c, 5*t + 0*t = 2*c - 6. Solve t*u = 3*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 5*c**2 + 4*c**3 - 4*c - 5*c**3. Let p be (-4)\/6 - 34\/(-6). Let g be y(p). Solve 3*j = -g*n + 3, 3*j = n - 5*n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:09 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 7:25 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i. Let s = -38429\/30 + 1281. Let z(r) be the third derivative of 0*r**4 + 0*r + s*r**5 + 0*r**3 - 12*r**2 + 0. Give z(m(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 17608*f - 16 + 3892*f + 16. Let k be i(-4). What is k rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35.9 - 36. Let w(o) = o**3 - 3*o + 1. Let g be w(2). Let r be (-3)\/(4 - 0 - g). Which is the closest to u? (a) r (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33166 + 33165.846. Sort 4\/23, b, 1.\nAnswer: b, 4\/23, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 7*x = -5*i - 4304, i + 4324 = -x. Let b be (-34558)\/x - (-4)\/(-9). Factor -30\/13*n**2 - 126\/13*n - b - 2\/13*n**3.\nAnswer: -2*(n + 1)*(n + 7)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = -5*y. Let j = -61 - -59. Put j, y, 2 in descending order.\nAnswer: 2, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.12347 - -0.12347. Which is the nearest to w? (a) 0.1 (b) -5 (c) 26\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 85 - 29. Let l = 135\/7 - v. Which is the closest to l? (a) -7\/5 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -275*q - 323. Calculate the remainder when f(-3) is divided by 147.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + n**3 - 14 + 35*n - 6*n**3 - 2*n**4 + 23 - 8 + 2*n**3 to d*n**4 + b*n + a*n**3 + l*n**2 + r and give b.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3140745, -3140689, -3140633, -3140577?\nAnswer: -3140521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 68 - -71) + 7 + -1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 17*i + 37 + 48*i - 68*i + 8. Let b(l) = -3*l**2. Calculate s(b(x)).\nAnswer: 9*x**2 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -75, -3 in ascending order.\nAnswer: -75, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 387, 853, 1395, 2013, 2707, 3477, 4323?\nAnswer: 5245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z. Let o be g(-1). Let y(t) = -o*t - 1 + 0*t + 2*t**2 + 3*t. Calculate y(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 135 = -5*o + h, 3*o + 4*h = 53. What is the remainder when 91 is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 - 329*s**2 + 5996*s + 682. Give g(21).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*t + 10, 2*j - 8 = -t - 3*t. Solve j = 2*l - 7*l - 2*b - 25, b = -2*l - 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(8 - (0 + 16 + -9))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 2. Let n be 0\/(4*z + 2). Suppose -20*c + 1067 = 687. Solve 3*p - c + 4 = n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36957.7 + 135461744.\nAnswer: 135424786.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*f - 40 = x, 4*x + 2*f + 30 = 0. Let w = 41218.3 + -41218. Which is the closest to w? (a) -2\/19 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 23131?\nAnswer: -23212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 17*o**2 - 12*o - 21. Let b be m(16). Suppose -2*i = -117 + b. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 0 + 1 - (-9714 - -9640)) + 0 + -2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 = -3*i. Suppose 11 + 4 = i*x. Solve -v + 0*v - x = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -501*g*p**4 - 2*g*p**2 + 76*p wrt p?\nAnswer: -12024*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(35) - (sqrt(875) + sqrt(875)*-3)) + 1*sqrt(560))\/(((sqrt(40) - sqrt(40)*-1)*5)\/(4*-2*sqrt(8))))**2.\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 17, 3, -47, -22 in ascending order.\nAnswer: -47, -22, -5, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 4*x + 45. Let z(r) = -58*r - 11. Calculate the remainder when z(-2) is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**4\/24 + 4*c**2. Let j(t) = 9*t. Give f(j(z)).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59008742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 - -13376?\nAnswer: 1338a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/6*8*(-264)\/(-672).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*p - 3*p - 4*w, 5 = -5*p - 5*w. Suppose 4*i - 6*i = p*r - 1588, 1588 = 2*i - 5*r. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b7 (base 13) in base 12?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d + 11. Let h(x) = -x - 4. Let v be (-12 + 12)\/(-1 - 0). Suppose -2*f + 32 = -v*l - 2*l, -3*l - 2*f = 23. Determine l*h(s) - 4*b(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19\/321 + 1331\/179760. What is the common denominator of t and -73\/160?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-61079)\/(-309) - (-1)\/3 and 66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 746299379 to the nearest integer?\nAnswer: 27318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-275)\/(-30)*8\/(-30) - -1 and -8 + (-3)\/(42\/4).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.082? (a) -1\/9 (b) -0.1 (c) -5 (d) -0.4 (e) -14\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 153 = -3*k - 3*m, -2*k - 138 = 82*m - 86*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 6:16 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 815304, 815315, 815330, 815349, 815372, 815399, 815430?\n\"Answer: 2*l**2 + 5*l + 815297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -76.030033904 - -76.03. Round g to 6 dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 4056671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 4. Let z = -21 + 18. Let u(i) = i**2 - 3. Give z*f(j) - 4*u(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 188\/306 - 114\/131784*68\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7711 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -7)*24\/(-60). Differentiate -u*j**3 + 47*j**4 - j**4 - 128 - 20*j**4 - 17*j**4 with respect to j.\nAnswer: 36*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/8)\/((((p*p**(-3)*p)\/p)\/p)\/p))**(2\/9)*((p\/(p*p**5\/p*p)*p)\/(p*p\/(p\/(p\/(p*p**(-1))))*p))**(-3\/17) assuming p is positive.\nAnswer: p**(1249\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*z = -150. Suppose 3*v - 6 = z. Suppose 0 = -3*h + v + 24. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 38, 88, 158, 248, 358, 488?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*a + 15*a - 71049. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54\/(-36)*(-80)\/3. Calculate the highest common factor of 120 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8*k**2 - 334*k - 19. Let f(s) = -7*s**2 - 332*s - 15. Give -5*f(p) + 4*j(p).\nAnswer: 3*p**2 + 324*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18068.01 months in decades?\nAnswer: 150.56675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) -6.32 (c) -0.1 (d) -3\/16 (e) -3\/4 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -78 (c) 98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**3 + 120*q**2 - 225*q + 110 = 0 for q.\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1754*s**3 - 4 + 4 + 1742*s**3.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*l = 360*l - 3*q - 18, -5*l + 21 = 4*q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/(-9) - 210\/(-126). Which is the smallest value? (a) 1 (b) m (c) 3 (d) 5 (e) 1\/57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.597 + 0.057. Let g = -0.54019 - k. What is g rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7*a**2 + 47*a + 104. Let l(s) = 6*s**2 + 48*s + 102. Let x(d) = 6*l(d) - 5*p(d). What is the derivative of x(r) wrt r?\nAnswer: 2*r + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 16*u**2 - 13*u - 4. Let j(t) = t**2. Let o(a) = -f(a) - 4*j(a). Calculate o(-10).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3.97. Let v = -0.53 + o. Let h = -253\/5 - -51. What is the closest to -1\/2 in v, -0.1, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, c: 11}. What is prob of sequence scss?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (25\/(-10))\/(1\/(-42)). Suppose -2*p + l = 483. Round p to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 24 = 4*b, 24*j = 19*j. Let d(f) be the second derivative of 0 + 3\/2*f**2 + b*f - 1\/2*f**3. Differentiate d(g) with respect to g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968048280 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/11 + 456576*c - 5022338\/11.\nAnswer: 2*(c - 1)*(c + 2511169)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30.26 and -5.\nAnswer: 25.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/3*(-25)\/((-800)\/72). Solve 26 = -d*h + 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 6*u - 36. Suppose -6*w + 24 = -2*w. Suppose 2*c + 3*q = 6*q - w, 0 = -3*c - 4*q + 25. Calculate the greatest common factor of u and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*m - 8, 2*g - 2 = -0*g. Solve -7 - m = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4925 + 6763. List the prime factors of d.\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -6*d - 14. Let x(u) = -2*u**3 - 3*u**2 - u - 1. Let i(q) = -3*q**3 - 5*q**2 - q - 2. Give d*x(t) - 3*i(t).\nAnswer: -t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*u + 88*u + 9. Let w be ((-2)\/10 - 0)\/(u\/(-195)). Solve 4*o = -m + 18, -3*m - 13 - w = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/135 and 61\/450?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z**14*z)\/z))\/z**(-3))\/(z**5)**(-6) assuming z is positive.\nAnswer: z**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63.974 * 5.\nAnswer: 319.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 78*f + 6048. What is m(-126)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = 12*y - 4*s - 9, -4 = 2*s. What is the biggest value in 2, -5\/4, 1\/2, y, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence woo when three letters picked without replacement from {l: 5, w: 2, o: 3, m: 5, x: 4, c: 1}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6201*r - 7757*r = -40456 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 12*o**2 + 12*o + 13. Let q be g(13). Let t(z) = -z + 443. Is t(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a - 3 + 4 - 1.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1682, -1683, -1684, -1685, -1686, -1687?\nAnswer: -1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -255045 divided by -3?\nAnswer: 85015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kvjvkj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -4*t + 3, 4*t = 2*t + 4*q - 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1.5 (b) 2\/13 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0 - 2. Let i be 8 - (-4 - (4 - 7)). Let n be (i\/6)\/(j\/(-2)). Solve -n*c = -2 - 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 z when three letters picked without replacement from ieemmiizebi?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18383466?\nAnswer: 2, 3, 163, 18797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q. Let b(t) = -221*t - 1335. What is l(b(v))?\nAnswer: 663*v + 4005","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 + 2*g**2 - 39*g + 7*g + (6*g - 7*g - 14*g + (-3*g + 3*g + 3*g)*(0 + 0 - 2) + 0 - g + 0)*(3*g - 7*g + 2*g).\nAnswer: 43*g**2 - 32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**3\/6 - p**2\/2 - 2*p. Let y be l(3). Let k = y + 9. Calculate the remainder when 8 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Let c = 5840 - 17516\/3. Which is bigger: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.6 (b) 0.025 (c) -9 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + y - 27. Let w be -5*(-2)\/(-3)*3\/(-2). Suppose 4*t = -3*m + 2, -t - w*m + 2*m - 4 = 0. What is the smallest common multiple of y and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 10*s**2 + 7. Let j(n) = 2*n**3 + 21*n**2 - 14. Let c(d) = -7*b(d) - 3*j(d). Let m be c(-5). Let h = 5 + m. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*l + 0 + 29*l - 2)*(175 - 65 + 94).\nAnswer: 1224*l - 408","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 3*u**2 - 2*u - 3. Determine l(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3015*b**2 - 3599*b**2 - b + b as n + r*b + x*b**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4 = -5*x + 16, c = -5. Let j = x - 1559\/195. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1634)\/9804)\/((-1)\/3*4\/(-6))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-3))\/(56\/126). Let z = -28 + 53. Suppose -1 = y*p - z. Round p to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 26. Suppose -d + 3*t + 19 = 3*d, -4*t - y = -4*d. Is ((-1)\/(-2))\/(d\/1528) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2*m + 2*k + 10, -m + 5*k = -7. Suppose b - 1 = 2*j + m, -j - b + 3 = 0. Solve s + 3*a - 10 = j, -5*s = 5*a - 0*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1470 = 2*x + x. Suppose -120 = 5*h + x. Calculate the common denominator of 0 + h*1\/20 and -45\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24750, 24744, 24734, 24720, 24702, 24680, 24654?\nAnswer: 24624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/(-12)*18\/(-15). Solve -5*k - 5*p = 0, 0*k - 2*k + a*p = -30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11674\/21 + 556. Let f(s) be the first derivative of 0*s**2 + 0*s - c*s**3 + 3. Factor f(g).\nAnswer: -2*g**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011011000100000 + 0?\nAnswer: 1010011011000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2*a - 48 = 0, 2*p - 53437*a = -53442*a + 120 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -42 + 52 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**3))\/(r\/(r**18\/r))*(r**10)**(2\/13) assuming r is positive.\nAnswer: r**(267\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117.3 - -118. Let g = 0.70000326 - q. What is g rounded to seven dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 39, 29.13, -35, -5?\nAnswer: 29.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112559.885906 + -112560. Let b = i + 0.114. Round b to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10175, -20719, -31263, -41807, -52351?\n\"Answer: -10544*v + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 8*m**2 + 8*m + 7. Calculate s(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 37, -2\/3, 15, 0, -0.2 in decreasing order.\nAnswer: 37, 15, 1, 0, -0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 795917422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*1*2)\/((-37)\/(-148)). Let o be ((-18)\/30)\/(-1 - m\/(-10)). Solve -5*t + 10 = 2*x, 6*t = o*t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 8*l**2 - 6*l + 1. Let s be -3 - ((-2)\/(-6))\/((-1)\/(-12)). Determine j(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*g - 196957 + 67629 = -28*g. Solve 0 = -489*i + g*i + 85 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5\/4 (b) -2\/1113 (c) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(3\/19)\/(y*y**(-2))**(-1\/35))**(3\/40) assuming y is positive.\nAnswer: y**(-93\/6650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -5. Suppose 0 = -4*t - 2*v + 114, -5*t + t - 5*v + 117 = k. Let l = t - 20. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r + 39. Let c be (-4)\/4*(-2 - r). Is (-2)\/c + 1182\/33 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**5\/7 + 8*p**4\/7 + p**3\/7 - 2*p**2\/7.\nAnswer: p**2*(p + 1)**2*(5*p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((0 + sqrt(1573))*-1)**2 + 1 - ((sqrt(13) + -3*sqrt(13))*-4 - (sqrt(13) - (5 + sqrt(104)\/sqrt(8))))).\nAnswer: -8*sqrt(13) + 1571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 303053030 - -2?\nAnswer: 303053032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -21855.\nAnswer: -21854.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-3)\/126*3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -23, 0.47, 3\/8, 1\/3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/54*-2)\/((140\/(-1422))\/(-35))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/45 - -3)\/(-69 - 16308\/(-243))?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14000032 = -4*i + 4*j, -28*i + 2*j = -31*i - 10500034. Let t be 120\/54 + 4\/(-18). Let l be (-5)\/((-25)\/i) + t\/1. Round l to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63256734?\nAnswer: 2, 3, 1171421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-108)*-3*(-4)\/(-14)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 16, q: 2}. Give prob of sequence vqv.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 394510000 rounded to the nearest 1000000?\nAnswer: 395000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7 + (-38)\/(-14). Suppose 61 = t*y - 2*y. Suppose 3*d - y = -2*j - 0*d, 5*j - 5*d - 190 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001243 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 12 = -9*v. Suppose -v*k - 290 = -8*k. What are the prime factors of k?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26639\/18 + -1473. Let z(g) = 3*g**2 - 4*g - 3. Let o be z(-3). Calculate the common denominator of f and 2 - (-2 - (-298)\/o).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oili when four letters picked without replacement from illoiilolxool?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - v + 9 = 0, 4*z - 2*v + 3*v + 3 = 0. Let x(h) = 2*h - 26. Let u(w) = w - 23. Let i(a) = z*x(a) + 3*u(a). Determine i(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1109 + -1104. Let l(f) be the first derivative of 117*f**d + 845\/6*f**6 + 0*f + 20\/3*f**3 - 6 + 0*f**2 - 60*f**4. Determine j so that l(j) = 0.\nAnswer: -1, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*o**3*v - 327*o**3*y**2 + 3*o**3 + 14*o**2*v*y**2 + 12*o*v - 18*o*y + 2*y**2 wrt y.\nAnswer: -654*o**3 + 28*o**2*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -241 - -268. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**4\/4 - 4*q**3\/3 - 2*q**2 - 3*q + 2. Let z be b(-2). Let u(w) = 1 + 0*w + w - 4. Determine u(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -624*h + 1223*h - 601*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 278*a**2 - 46*a - 75. Does 31 divide k(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + r - 1. Let f = 54 - 53. Let y(m) = -8*m**2 + 20*m - 2. Let q(o) = f*y(o) - 10*p(o). Factor q(v).\nAnswer: 2*(v + 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 9:13 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30195 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9447*q**2 - 4*q - 6. Is g(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((25\/16)\/(-5))\/((-20)\/24).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + 1 + -3 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x - 5*x + 5*x. Let r(y) be the first derivative of -y**3\/6 + y**2 + y - 3. Let m(g) be the first derivative of r(g). Calculate m(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**5 + 25*o**4 + 85*o**3 - 605*o**2 + 1000*o - 500 = 0.\nAnswer: -5, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, -92, -181?\n\"Answer: -89*p + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-7)*z*z\/(z\/z**(7\/3))*z*(z**0)**(-1\/9) assuming z is positive.\nAnswer: z**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 128553338\nAnswer: -7\/128553338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28878, -55064, -81250, -107436?\nAnswer: -133622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -116*y + 118*y - 43, -5*y + 140 = n. What is the remainder when 70 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u + 26. Let g(n) = 16*n + 6. Calculate g(z(v)).\nAnswer: -96*v + 422","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248221885 is divided by 4595?\nAnswer: 4580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5\/3 + 42*i**4 - 436*i**3 + 4388*i**2\/3 - 1782*i + 714 = 0.\nAnswer: 1, 3, 7, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8280431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3975, -31746, -107073, -253734, -495507?\n\"Answer: -3963*o**3 - 30*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*y + 45, -1 = h + 4. Suppose -170 = -2*c - y. Suppose -7*a + 3*a + 132 = 4*s, 5*a = 2*s - c. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 59082108.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 18. Let b = w - -168. Suppose 3*a + g - b = 0, 99 - 4 = 2*a + 3*g. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - 1022303330211?\nAnswer: -1022303330102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1598249 less than or equal to -1598248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03494879 rounded to three dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/((3\/(-2))\/3). Let m = n + -14. Find b, given that -m*b**3 + 12*b**4 - 19*b**2 + b**2 + 6*b**4 - 4*b + 14*b**5 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 7*z + 8. Let h be s(-8). Suppose -5*g + 2*r + 433 = h, -g - r - 13 = -101. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12005.6673 to the nearest 100.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = j + 25. Suppose -j*g - 5*p - 8 = -g, 0 = 5*g - 3*p - 27. Find the first derivative of 4*q + 2*q - 13*q + 2*q + g wrt q.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 4. Let s = -16.03 + 15.63. What is the closest to x in 0.1, -0.3, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 1)*-1 - -6. Suppose -4*g - 4*n + 4 = 0, 3*n - 3 = -2*g - 5. Let y(c) = -2*c**2 - g + x. Let o(m) = 3*m. Calculate y(o(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -508 - -504. Let i(r) = -r**3 - 5*r**2 - 5*r - 7. Give i(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 390969, 390944, 390919, 390894, 390869, 390844?\nAnswer: 390819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9897, 9895, 9893, 9891, 9889?\n\"Answer: -2*f + 9899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 16. Let s(b) = 0 - u + 2*b + b**2 + 1. Let m(o) = -o - 1. Let h(y) = -6*m(y) - 3*s(y). Factor h(j).\nAnswer: -3*(j - 2)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30396, -30488, -30556, -30594, -30596, -30556, -30468?\nAnswer: -30326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -26. Find the common denominator of (-363)\/2*(d + (-59)\/(-15)) and 1\/(-4) + (-150)\/(-56).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 112*c**2 + 12*c - 9. Let g(h) = h**2 + 2*h - 1. Determine -6*g(y) + p(y).\nAnswer: y**3 - 118*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 3\/2*v**2 - 10 + 0*v. Let t(h) = -7*h**2. Determine f(t(a)).\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-3)*18\/(-32). Let p = 0.7 + -5.7. Let j = 5.5 + p. Which is the second smallest value? (a) -1\/3 (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 659099, 1321038, 1982977?\nAnswer: 2644916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 18*p**2 - 35*p - 18. Is t(-9) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 26, 39, 46, 41, 18?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -2. What is the greatest common factor of 54 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34221 is divided by 152.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6\/f)**(-1\/44)*(f**(-10\/7))**(-19))**4 assuming f is positive.\nAnswer: f**(8325\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26447179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrnzzrzriizirzn. What is prob of picking 2 z, 1 r, and 1 i?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 480 - 289. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338866 is divided by 1069.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 2*x**2 + 2*x**2)*(3420*x**2 - 3420*x**2 - 87*x**3 - x**3 - 7 + 7 + 3*x - 3*x + x**3 + (5*x**2 - 2*x**2 - 4*x**2)*(0*x - 3*x + 2*x)).\nAnswer: -86*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t + 15. Let o(v) = v + 1. What is -k(s) - 6*o(s)?\nAnswer: s - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 1 + -2 - (34 + -17 + -17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 26\/7*w - 2\/7*w**2 + 0 = 0. Calculate w.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -189 greater than or equal to -2475\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = j - 11, -24 = 3*j - 3*s + 18. Let a = j - -14. Let z(h) = 2*h**2 + 7. Let i(f) = 6*f**2 + 22. Determine a*i(d) - 16*z(d).\nAnswer: -2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40 + 2370\/60 - (1 + (-103)\/52) and -85\/26.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - n = 64, 8*n + 26 = 4*s + 18. Solve 6*t - 2*t + 2*v = -26, t + 3*v = -s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**4\/12 - x**3\/3 - 3*x**2 + 27*x. Let v be b(-2). Find the third derivative of -4*r**3 + 30*r**2 + v*r**2 - 2*r**2 wrt r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16585, 4, 0.3, -5, -1.8, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 0. Let g be ((-1 + 6)\/5)\/((-6)\/(-9)). What is the nearest to -0.2 in 0.5, g, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20269802, -20269799, -20269796?\n\"Answer: 3*p - 20269805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 3*f + 9, 0 = -f - 73*z + 78*z - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**3 + l. Let p = 15 + -14. Give x(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 73, -4, 4, 0.064, -4\/7?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139*w**5 + 2*w**4 + 762*w**3 + 27013264*w**2.\nAnswer: 8340*w**2 + 48*w + 4572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y = 17*y + 36. What is the remainder when 64 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x. Let f(g) = 27198*g**2. Calculate l(f(t)).\nAnswer: -81594*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 498930109 from -68.\nAnswer: -498930177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 43384?\nAnswer: 303688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 6\/11 (b) 0.3 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9358, -37572, -84586, -150394, -234990, -338368, -460522, -601446?\n\"Answer: j**3 - 9406*j**2 - 3*j + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 80766?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.81 + -21.55. Let y = -9.8 - k. What is the smallest value in -0.5, y, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**2 + 9*n - 9. Let f(g) be the second derivative of -g**4\/6 + 2*g**3\/3 - 2*g**2 - g. Let s = 1990 - 1992. Calculate s*m(k) + 5*f(k).\nAnswer: -2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -7 - (-2 - 14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -355744 times 9?\nAnswer: -3201696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 5 - 9 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.37 + 7.3. Let t = z + -56.93. Let k = 60 + t. What is the closest to -2 in k, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 283*u + 13*u + 324*u + 105*u + (-3*u + u - u)*(-3 - 2 + 3 + (-1 - 2 + 0)*(-4 + 3 + 2)).\nAnswer: 740*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31586.694 plus 0.3?\nAnswer: -31586.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**3 + 822201*i**2 + 2466684*i - 14799780 = 0. Calculate i.\nAnswer: -6, 3, 274070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 41 + 13 = 0. What is the units digit of 2538\/21 + 1\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(204)*2 + sqrt(204))*4)\/(1*sqrt(768) - sqrt(768) - sqrt(768)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, -5, -4, 256 in ascending order.\nAnswer: -12, -5, -4, -1, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -2, -1061, 1, 0.3, -15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 44049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2. Suppose -5*z + 57 + 63 = 0. Let p be (-2)\/6*(3 + -12). Let m(j) = -z + 24 - p*j. Determine m(d(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 0 - 42)*(-794*p - 7*p**2 - 8 + p**3 + 794*p).\nAnswer: -27*p**3 + 189*p**2 + 216","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**4 - c**3 + 3*c**2 + 1. Let l(a) = -40*a**4 - 24*a**3 + 816*a**2 - 4900*a + 9012. Let b(s) = l(s) - 12*t(s). Suppose b(f) = 0. Calculate f.\nAnswer: -18, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - 9*x + 4*x + 3 in the form u*x + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 3*c**2 + 1\/10*c**4 + 18\/5*c + 14\/15*c**3 - 12. What is f in y(f) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2157923 - 2157923 - n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q - 13. Let r(p) = -2*p - 13. Let g(w) = 4*r(w) - 3*z(w). Let u be g(9). Sort 0.4, -1, u in decreasing order.\nAnswer: 0.4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (72\/48)\/(1 - 206\/212). Solve -b + 47 = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 383709, 767431, 1151153, 1534875, 1918597?\n\"Answer: 383722*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 a factor of 472952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -18. Which is the second biggest value? (a) 2 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 2*p - 2. Let k be f(2). Suppose -6*z - 3*u = -z - 20, -z - 3*u + 4 = 0. Let g be 6\/9*k\/z. Solve 0 = 2*q + r - g, 3*q = -0*q + 4*r - 26 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r**(1\/4)\/r))\/r)*r**(1\/2))\/(r**0)**(-18\/5)*(r**(-2)\/(r**6\/r))**(-2\/27) assuming r is positive.\nAnswer: r**(137\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 19023.\nAnswer: -19020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/46995 and 62\/8435.\nAnswer: 328965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -44307 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 45 + 53 - 92. What is z(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 7:09 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*(5*2*sqrt(20) + 3 + (-4*(sqrt(5) + 0) - sqrt(5)) + sqrt(5)).\nAnswer: -64*sqrt(5) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194446 divided by -108586?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1300 and 76100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/63 - (-2)\/14. Suppose 0 = 4*u + 2*k - 7*k - 35, 22 = 5*u + k. Suppose m = -u*j + 4*j + 2220. Round j to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8032.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -82*h**2 - 5*h. Let o(f) = -410*f**2 - 26*f. Give 2*o(q) - 11*z(q).\nAnswer: 82*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)*-2)\/sqrt(4))**2 - (sqrt(450)\/sqrt(6))**2.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81089 is divided by 1853.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12866 divided by -1838.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17066716201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 6*x**2 - 3. Let v be d(6). Let n be (3\/v + 2)*-1. Let j be n + -1*5*-2. Calculate the highest common divisor of j and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*u**2 - 25*u**2 + 0*u + 0*u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 6699432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -397.64 - -7.64. Let f = g - -395.84. What is f rounded to 1 decimal place?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = 56*a - 255 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.139 times 4.16?\nAnswer: 0.57824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 19 = 3*b + 5*l, -16 = 3*b + 5*l. Calculate the least common multiple of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(11) + sqrt(11) + (sqrt(11) - sqrt(1100)))**2)*2 + sqrt(44) + -3.\nAnswer: -1081 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + ((-5 - -3) + 1 + -3 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4)*8\/42. Let v = 33.9 - 28.9. What is the smallest value in n, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 10*h - 19. Let c be i(-7). Let q(s) be the second derivative of -4*s + 0*s**c + 0 + 2\/3*s**3. Let l(f) = -2*f**2. What is l(q(x))?\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1424832 and 239112?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 2:56 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-36)\/(-16) + -3)\/((-18)\/72). Let q(d) = -d**2 + d - 1 - d**2 + 0*d**2. Give q(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2064255*d + 1032114*d + 1032092*d.\nAnswer: -49*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 152.2 + -135. Let v = 17.20173 - i. What is v rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -213 - 126. Let y = 335 + n. Let o = -1 - -6. Put 0, -1, o, y in decreasing order.\nAnswer: o, 0, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32992 + 0.07\nAnswer: 32992.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/7 + 4*x**3\/7 - 11*x**2\/7 + 6*x\/7.\nAnswer: x*(x - 1)**2*(x + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Find the third derivative of 31*m**z + 13*m**3 - 55*m**2 + 9*m**3 wrt m.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -184, 0.3, -2\/3, 4, 13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5*h**3 + 5 + (-2*h + 2*h + h**2)*(-4*h - 11*h + 6*h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14541 + 44?\nAnswer: 15025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - 0. Let f = 10 + x. Let o be (6\/(-8))\/(3\/2). Sort f, o, -1\/9.\nAnswer: o, -1\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhmrhrfsff. What is prob of sequence hmrr?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -88 + 7\/9*c**3 + 0*c + 1\/12*c**4 - 4\/3*c**2. Factor h(t).\nAnswer: t*(t - 1)*(t + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*d**3 + 0*d + 12 - 10 - 3 + d.\nAnswer: 46*d**3 + d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y - 162 = -23*y. Suppose 0 = y*d - 57*d - 156. Let n = -51 - d. Which is greater: 14\/15 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**3 - 25*u**2 - 9*u - 16. Let i be v(-6). Which is smaller: 42\/67 or i?\nAnswer: 42\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2043432 (base 6) to base 2.\nAnswer: -11000001111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f + 1482 = -27*f - 0*f for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-40))\/(9\/(-30)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-30) - ((-7)\/2)\/(-7). What is the third biggest value in 0, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 224\/(-21)*(1 + -4). Suppose l*w - 111 = -5*w. Sort w, -4, 28 in decreasing order.\nAnswer: 28, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*t - 15, 5*f + t - 18 = -3. Suppose f*q - n + 20 = 0, -q + 3*n = -4*q. Let y(s) = -s**3 - 4*s**2 + 2*s - 3. What is the units digit of y(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -135, -294, -453, -612, -771?\n\"Answer: -159*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -0*k - 70. Solve -x = 2*i + k, 3*x - 4*i + 8 = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 17*t. Let b(y) = 82*y**2. Determine b(l(i)).\nAnswer: 23698*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -13, -2, 13?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -28. Which is the second biggest value? (a) d (b) -6\/17 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 26311783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 2. Let i(u) = -16*u - 67. Let g(a) = -19*a - 79. Let x(c) = 6*g(c) - 7*i(c). What is -11*m(o) + 4*x(o)?\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + v - 4, 5*i - 119181*v = -119180*v - 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57662 or -57660?\nAnswer: -57660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 20 + i**2 + 8*i to the form p*i**2 + t + n*i and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84535 - 84535.000072279. Round g to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1264, -1272, -1294, -1336, -1404, -1504?\n\"Answer: -p**3 - p**2 + 2*p - 1264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 288801758?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 285556\/20 + (192\/40)\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l + 4. Suppose -5 = j - 40. Suppose j + 49 = l*k. 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: Let j be 0 - (9 - (4 + -1)). Let k be 8\/(-36) - (-25)\/(-9). Sort 5, j, k in increasing order.\nAnswer: j, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**4 + t**3 - t**2 + t - 1. Let v(j) = -4*j**4 + 160*j**3 + 6*j**2 - 6*j + 4023. Let d(c) = v(c) + 6*w(c). Differentiate d(z) wrt z.\nAnswer: 8*z**3 + 498*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95\/9 - 92\/9. Let h = -3.8 + 1.5. What is the second smallest value in 0.4, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b4 + -28?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82797\/(-494) - (-2)\/19)\/((-260)\/208)?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 60777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522324799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - a = -25, -533*p + 537*p + 41 = 11*a for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(((sqrt(75) - (-1 + sqrt(75))) + 5 + sqrt(75) - sqrt(75)) + (0 + sqrt(75))*3) + 3)*-5)**2 + 4)*-3.\nAnswer: -864687 - 243000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2. Let d(w) = w + 2. Let r(p) = -5*p - 11. Let u be ((-4)\/6)\/((-6)\/27). Suppose -u = -4*j + 13. Let x(g) = j*r(g) + 22*d(g). Give c(x(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*g + 1168 + 2022 = 0 for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 447051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022318871 rounded to 7 decimal places?\nAnswer: 0.0002232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45475710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324542477 and 5228?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. Let x = k + 3. Let d be 77\/(-105) - 2\/(-5). Which is the nearest to d? (a) x (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 8.7. Let w = -0.126 + 0.026. Which is greater: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5769.767 to the nearest ten.\nAnswer: 5770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000059142 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/27*0)\/((-4)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.07207 (b) 0.105 (c) 0.01 (d) 4 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 5:30 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w**19*w)\/(w*w**24*w) assuming w is positive.\nAnswer: w**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32222963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 2, d: 1, z: 1, n: 1, l: 2}. What is prob of sequence mm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5665+545350\nAnswer: 539685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1276 = -189*p + 211*p. What is the remainder when 579 is divided by p?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 208, -1, 3, -4, 0 in ascending order.\nAnswer: -4, -1, 0, 3, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 13*g - 14*g. What is the greatest common divisor of g and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = -7. Suppose 2*y = -f*y - y. Sort y, -5, -2 in decreasing order.\nAnswer: y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*-1*1460\/(-730)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from {n: 7, b: 4, w: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 7*z = 6. Suppose 0 = 5*y - d - 265, 46 + 111 = z*y - d. Suppose 16 + y = 2*q. List the prime factors of q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/320 and 31\/5.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(153)*1 + (sqrt(153) - -3*sqrt(153)*-4))\/((3*sqrt(72))\/(sqrt(2) + sqrt(6)\/sqrt(3)*2 + sqrt(2) - sqrt(2))))**2 + 5.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42*c**2*d - 163355*c**2 + 4*c*d**2 - 73*d**2 wrt d.\nAnswer: 42*c**2 + 8*c*d - 146*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3\/u)\/u**(7\/6))**(-14\/9) assuming u is positive.\nAnswer: u**(-35\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.4742 rounded to two decimal places?\nAnswer: 12.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85561202 to the nearest integer?\nAnswer: 9250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 6. Suppose 3*w - h = 13. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.32 - -57.32. Let l = -128 + b. Let o = l + 71.87. What is the closest to 0 in o, 4\/5, -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(1\/2))\/(59\/118)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h + 0*h + h + (0 + h + 0)*(-4 + 5 + 1) + 2*h + 0*h + 0*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -687 + 5?\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 25823.0319522128?\nAnswer: 25822.8319522128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddwwwdmwdwwudmduudd. What is prob of picking 3 d?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8 + (40 + -37)\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.008634 and 4.\nAnswer: 0.034536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 952 = -743*w + 1792 - 5298 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(5) - sqrt(20)) - (sqrt(17) - (sqrt(51)\/sqrt(3) + 1)).\nAnswer: -sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -0.05632?\nAnswer: -0.14368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 4*m - 4. Let t(s) = s. Give j(k) - 3*t(k).\nAnswer: k**2 + k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/14482 and -27\/16.\nAnswer: 115856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 43, 42, 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2096, -4333, -6714, -9239, -11908, -14721, -17678?\nAnswer: -20779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i - 46. Let n be j(8). Factor -1 - 1\/2*s**n - 3\/2*s.\nAnswer: -(s + 1)*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 + 0)*(2 + 2 - 2)*(4 + 1 - 6)*(1 - 1 + 3*f) to g*f + j and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020332203 - 2?\nAnswer: -1020332211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 0*f - 7*f**4 + 10*f**4 + 2*f as v*f**4 + u*f**2 + x*f + w*f**3 + z and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*u**2 - 5*u + 5*u)*(u - 3*u - 2*u).\nAnswer: -56*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 210?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 2 - (-1*28)\/4. Factor l**2 + w + l - 1 - 3 - 1 - l**3.\nAnswer: -(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93.00182 + 93. What is l rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2\/9 + 19204*d\/9 + 299390\/3 = 0.\nAnswer: -9555, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 6.3. Let t = r + 1.3. Let p = 11.45 + -11.95. Sort -2\/11, t, p in increasing order.\nAnswer: p, -2\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + i = 3*b + 7, -4*i = 3*b + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 5*b + 13*b - 4*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614715 is divided by 236.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-72))\/((-7)\/56)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w + 181 + 555 = 203 - 259 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120002012 + -20112?\nAnswer: -120022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7032 + 49228\/7. What is the biggest value in -4\/9, 0.45, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a milligram in micrograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 25 = -5*s, -2*y - 2*s = -10. Suppose 2*h = 7*h - y. Solve 0 = -3*w - 2*g + 5 + 1, -h*g = -5*w + 26 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**3 + 5*o**2 + 5*o - 5. Let r(k) = -4*k**2 + 1 + 2*k - k**3 + 3*k**2 - 3*k. Suppose j - 10 = -2*y, -j + y + 0 + 10 = 0. What is j*r(s) + 2*c(s)?\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -35656?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-31980)\/(-160) - (-2)\/16. What is the highest common factor of n and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 1 = n + 20, 5*n + 25 = -5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n - 2. Let i be z(-6). Let q = 225 - i. What is the remainder when q is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 = 41*i + 4*o, -3*i + 4*o + 963 = 967 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -478*f**3*v + 2*f**3 - 966*f**2*v - 200*f - 79 wrt v.\nAnswer: -478*f**3 - 966*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*t + 6 - 1 = 0, 3 = -k + 5*t. Let i = 4 - k. Suppose -4*o + a + 227 = i*a, -212 = -4*o - 4*a. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 - 2 - (78 + (-65 - 10))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -3. Let w = -18 - -17. Let y be 27 - (2\/d)\/w. What is the highest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oocououucu. What is prob of sequence uoo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, j: 5, y: 4}. What is prob of picking 3 r?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 k when three letters picked without replacement from {k: 2, q: 5, u: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/55 and -1\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*u - 51 + 67 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + z**2 - 2*z - 13. Let q(v) = 2*v**2 - 2*v + 2. Let s(h) = -b(h) - 3*q(h). Give s(-7).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/15*200\/(-6). Suppose i + 5*z - 20 = 0, i + 3*i + 3*z = t. Find the common denominator of 482\/48 + (-13)\/(-39) and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*b + 44*b - 3. Solve -9 = -b*m + 6*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1152407834 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhcrrhnrcrhzhhcn. What is prob of picking 1 h and 3 c?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + (-450)\/(-63) - 1\/7. What is the nearest to 0.2 in j, -2\/5, -10\/13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763*v + 280*v = -51107 for v.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*p + 16. Let v(t) = -t + 6. Suppose -14 + 0 = 2*q. Let y be v(q). Calculate the highest common factor of p and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a day in minutes?\nAnswer: 30960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13776724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -638 or 400763?\nAnswer: -638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 120597595*c**3 - 44*c**2 + 40993*c - 2 wrt c?\nAnswer: 723585570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26497127?\nAnswer: 23, 349, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14023113 (base 5) to base 15\nAnswer: 2c258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 323 and 2033.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49368170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 25. Put -5, c, -2 in descending order.\nAnswer: -2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -421.1, -1, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 1)*(-4)\/(-10). Let f = -97251 + 97249. Which is the second biggest value? (a) 3\/2 (b) f (c) l (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 764032?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-128)*16*(0 + (-9)\/12).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h - 21 = r + 4*r, 2*r + 6 = -731*h + 732*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*t - 176. Let q be 5 - 5 - 122 - 2. Let f = t - q. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**5\/15 + 5*n**4\/12 + 2*n**3\/3 + 7*n. Let j(r) be the second derivative of o(r). What is the derivative of j(c) wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 57.71805 nanoseconds?\nAnswer: 0.0000000009619675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*q - 24 = 0, -2*q + 0 = 6. Suppose -b*n - 32 = -179. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 232 (b) 2\/27 (c) 0 (d) -2\/3 (e) -1\/3 (f) 5 (g) 21.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156 less than -0.3?\nAnswer: -1156.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 10487481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3061 - 2760. Calculate the greatest common divisor of i and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -148.17 + 8.17. Which is the third biggest value? (a) i (b) 4 (c) -2 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7\/(w\/(w\/(w\/((((w*w**(-3\/5))\/w)\/w)\/w*w*w*w)*w))))\/(w**(-1\/3)*w**(-5)) assuming w is positive.\nAnswer: w**(161\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9164377)\/1015*-5 - 2\/(-7). What is t rounded to the nearest 1000?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + 6*v + 14. Calculate i(-5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c - 12. Let a = -1 + 7. What is the units digit of a\/(1 + 2\/c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -305 + 445. Suppose 0 = -a - 3*c + 41, 5*a + 3*c = c + b. Suppose 29*t = a*t + 9. Solve -t*n + 6 + 6 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 3546142?\nAnswer: 354613b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 4*a**5\/15 + 11*a**2\/2 - 14*a. Let u(t) be the first derivative of f(t). Let j(k) = -k. Determine u(j(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 4*t - 5. Let x(u) = -8*u**2 - u. Let n be x(-2). Let a = n + 24. Let l be (9\/11 + a\/(-33))*6. What is h(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 607, -3, 72.3, 7 in increasing order.\nAnswer: -3, -0.3, 7, 72.3, 607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -9*r**5\/10 + 9*r**3\/2 + 3*r**2\/2 - 242*r. Find the second derivative of l(a) wrt a.\nAnswer: -108*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 - 6.95. Let f = b + 6. Sort 3, -1\/10, f in decreasing order.\nAnswer: 3, -1\/10, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 465952768?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*m + 5*m - 4*m)*(-1003*m**2 + 281*m**2 - 831*m**2 + (1 - 5 + 6)*(2*m**2 - 4*m**2 + 0*m**2)) to j*m**3 + y*m + u*m**2 + f and give j.\nAnswer: 28026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-18\/11)\/(d*d**(-2\/13)*d)*d*d*d**(1\/28)*d*d**26*d)**22 assuming d is positive.\nAnswer: d**(106319\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 1395836051.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -678 + 50 = -4*r. Suppose 3*c - r = -6*u + 2*u, 5*u = -4*c + 208. Does 33 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161266 (base 7) to base 3.\nAnswer: -1121111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-205)\/(-25) - 5)\/((-4)\/(-30)). Let y(b) = -b**2 - b + 3. Let h be y(-3). Let l = h - -15. What is the greatest common factor of u and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 138 + -9?\nAnswer: 12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-4)*(16\/30)\/(920\/1150)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163564 + -20564. Round j to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/271, 4, -1\/8, 0.2 in descending order.\nAnswer: 4, 0.2, -1\/271, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-5 + (-4 + -1*sqrt(76) + -3*(1 + sqrt(76)) - (sqrt(76) + -1 + -2)*3))*-4)**2.\nAnswer: 1344*sqrt(19) + 59724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 120068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**2*z**3 + 38665*x**2 + 611593897*x*z**3 wrt x.\nAnswer: -4*z**3 + 77330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*w - 231*w - 52 = 0. What is the remainder when 98 is divided by w?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1842 = -9*b + 15*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-324)\/270*(-130)\/3 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-6 + -4 + 15 + -5) - 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2499 + 1179 = -5*w. What is the remainder when w is divided by 56?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*w + 106, -q + 39 = -5*w + 109. Let z be (4\/q)\/(5\/(-25)). Factor 4\/9*b**3 + 0*b**2 + z*b**4 - 4\/9*b - 2\/9.\nAnswer: 2*(b - 1)*(b + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 293 = 39*a + 788 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s = -s - 1064. Put -2, 3, -5, s in decreasing order.\nAnswer: s, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.0488, 5, -1\/11, 1\/4, -1, 1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16757 and -0.0217.\nAnswer: -363.6269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h + 6. Let t be n(3). Let y = 170.4 + -171. Which is the fourth smallest value? (a) -2 (b) -2\/5 (c) t (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 10:36 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 132*n**2 - 219*n + 1998. Is 30 a factor of z(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/(-6) + 42\/(-28). Factor -6*v**2 + 3*v**i + 0*v**2 + 33*v**3 + 60*v**2.\nAnswer: 3*v**2*(v + 2)*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04771 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 92466485 and -4.677.\nAnswer: 92466480.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 smaller than 57050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 301 - 298. What is the first derivative of 86*n**3 - 85*n**h + 69 - 10*n**2 - 45 + 90 wrt n?\nAnswer: 3*n**2 - 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 16*q**2 + 0*q**7 + 0 + 0*q**5 + 0*q**3 + 0*q - 7\/4*q**4 + 0*q**6 - 1\/16*q**8. Find the second derivative of r(z) wrt z.\nAnswer: -420*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8579705 and 314815?\nAnswer: 3985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 - m + 65. Let o be a(0). What is the tens digit of (-5)\/4 + (-5)\/(-20) + o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 38770302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1403727\/46 + -30518. Let x = y - -3709\/736. Find the common denominator of x and 79\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**6\/6 - 67*z**5\/4 - 235*z**4\/4 + 345*z**3\/2 - 5493*z - 1. Factor a(h).\nAnswer: 5*h*(h - 69)*(h - 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(288))\/sqrt(8))\/(1*sqrt(14)\/(sqrt(28)\/sqrt(4))).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16446221*l**2 - 7703869.\nAnswer: -32892442*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 6 + 31 = 5*n, 0 = 3*t - n + 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 141956472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-31)\/5 + 3)*-5. Let t be 3\/12 - (-140)\/b. Find the third derivative of 74 - 74 - 11*w**2 + t*w**6 wrt w.\nAnswer: 1080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2745797191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 48 + 2*y**2 - y**2 + 132. Let k be h(0). Suppose 0 = -4*d - 4*s + k, -5*d - 3*s = -s - 111. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 236 and 341452?\nAnswer: 20145668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.4 + 12. Sort -2, 3, t in decreasing order.\nAnswer: 3, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 9*m + 1. Let u be b(5). Suppose -s = -6*s. Let g be 2\/(6\/441 - s). Calculate the greatest common divisor of g and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629926 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by -4 - -6 - (-5 + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 - 27*g**3 - 12*g**3.\nAnswer: -41*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*f + 33*f - 60*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*r - 2806 = -2*u - 58*r, -56 = 51*u - 49*u - 3*r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.81 + -7.41. Which is the fourth biggest value? (a) q (b) 2\/15 (c) -9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 13*b + 12.\nAnswer: (b - 12)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8377 - -410. Is g a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 3:54 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/25 in 0, 10\/9, -0.4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 20. Suppose -11*r = -m*r - 24. What is the remainder when ((-5)\/r)\/((-13)\/884) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*r - 4, -4*r = -p - 3*r + 2. Let v(t) = 13*t**2 + 9*t - 9. Let m(d) = -3*d**2 - 2*d + 2. Calculate p*v(b) + 9*m(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17384 is divided by 90.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 439, 487, 545, 607, 667, 719, 757?\n\"Answer: -q**3 + 11*q**2 + 22*q + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 0\/1 + 12 + -7. Let l(v) be the first derivative of v**2 - 5*v - 11. Let t be l(4). Calculate the highest common divisor of t and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -517868, -1035731, -1553594, -2071457, -2589320?\n\"Answer: -517863*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018898 to 6 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.02, -5, 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 1980?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1870630, 3741277, 5611928, 7482583, 9353242, 11223905?\n\"Answer: 2*v**2 + 1870641*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.200915 * 0.1\nAnswer: -0.0200915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -379*s - 1924. What is y(-5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7582*m - 7668*m + 1548 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9499940 and 4420.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 1, g: 1, o: 2}. Give prob of picking 2 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 4:04 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2445 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 3\/410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**3 + 3*t**2 - 8*t - 31. Let m(r) = -11*r**3 - 9*r**2 + 25*r + 92. Let b(z) = -3*m(z) - 8*x(z). Let v be b(-4). Solve 5*j = -v*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3.65. Let l = 224233.6500002 - 224233.3. Let v = o - l. What is v rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2758*l + 2763*l + 21, 0 = -4*l - 5*s + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2480*g**4 + 23*g**2 + 106250*g?\nAnswer: 29760*g**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 3*t - 2*a, -12*a - 97 = 8*a + 368 - 85 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(12\/2*(-895)\/(-23628))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.77 + -2.2978. Round k to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 6:20 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5056 divided by 1264\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/20))**(-2\/43)*(x**(-3\/14))**(-5\/2) assuming x is positive.\nAnswer: x**(3267\/6020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 70 = -20. Suppose -2*b = -5*j - h, 0 = -3*b + 7*b - j - 45. Calculate the smallest common multiple of b and (-18)\/(-4 - -1) - 0.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 + 3. Let i(q) = 3*q**2 - 4. Let g(n) = -n + 18. Let l be g(0). Suppose -l = 5*m - 3. Calculate m*i(v) - 4*y(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -27\/2*i**2 - 7*i + 6. Let v be l(-11). What is v rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -132442?\nAnswer: -132440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 1134678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.87 + 0.41. Let c = 0.94 - 1. Let t = c - s. Sort t, -3, -1\/4.\nAnswer: -3, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 8*o + 1. Determine b(-12).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006153 rounded to 7 decimal places?\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7)*405\/(-162).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/624 and -93\/448.\nAnswer: 17472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -7. Let l(p) = 5*p + 2 - v*p**2 + 0*p - 7*p**2 + 4*p - p**3. List the prime factors of l(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x**2 + 7*x - 6. What is the lowest common multiple of 0 - (-3)\/((-9)\/(-21)) and i(1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10353505 to the nearest integer?\nAnswer: 3218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -41 (b) 1\/3 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 63*t + 1. Let g(q) = 3*q + 69742. Give g(d(m)).\nAnswer: 189*m + 69745","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 241 + 1464 = -g, -2*g = -4. Let a = z - -1695. Is (a\/3)\/((-2)\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45240182 is divided by 692.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14389834 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 - 195 = 6*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 11 = -2*g, 3*a + g = -a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from zfmfffffumummmfvf.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 168*v - 168*v + 2*v**2. Let n(w) = 1. Let i(r) = -6*r - 15. Let a(t) = -i(t) - 15*n(t). Determine p(a(f)).\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5238, -10452, -15632, -20760, -25818, -30788, -35652?\n\"Answer: 3*r**3 - r**2 - 5232*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m**2 + 3*m**4 - 1 - m**3 + 8*m**2 - 14*m**2 to the form h + f*m**4 + z*m**3 + l*m**2 + k*m and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 18*l - 27. Determine o(18).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*a - 2593 + 8084 = -2539 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.07.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 47*v**2 - 569*v - 16. Calculate a(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -6*n - 5. What is the smallest common multiple of (-339)\/(-15) + (-3)\/n and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/5 + 413*p**3\/5 - 56718*p**2\/5 + 514188*p + 2628072\/5 = 0. What is p?\nAnswer: -1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177\/159845 or 0?\nAnswer: -177\/159845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -16*g. Let z(q) = 2502*q**2 - 96*q + 2093. Let j(s) = 6*o(s) - z(s). Differentiate j(i) with respect to i.\nAnswer: -5004*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*k + 188, j + 2*j - 167 = 5*k. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from qtvqqvquqktvtyq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -943 - -1412. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t - 1. Let o(r) = 148*r**2 - 4*r + 3. Let b(h) = 2*j(h) + o(h). Find the second derivative of b(w) wrt w.\nAnswer: 296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1984 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a + 34. Determine k(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2035798, 4071597, 6107396, 8143195, 10178994?\n\"Answer: 2035799*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2))**(-1\/61)\/(((w\/w**4)\/w*w)\/(w*w**(1\/12)))*((w\/(w*(w*w**(2\/35))\/w*w*w))\/(w*w**(-1\/6)))**(-13) assuming w is positive.\nAnswer: w**(1067107\/25620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n + 8. Let v be w(-4). Let x be 7 - (v\/3)\/(4 + -2). Is x < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7629 equal to 68666\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.674? (a) -2\/3 (b) 1\/6 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 6*v - 0*v. Solve -3*s - 9 = -2*n - v, 2*s = 2*n - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2135155 from 0.\nAnswer: -0.2135155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (4 + -1) - 0) + 2 - 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-54))\/((-6)\/(-54))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 + 18716*z**2 + 18717*z**2 - 4*z - 37432*z**2 + 4*z.\nAnswer: z**2 - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8118 - -0.81180047972. What is s rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/811 + 18713\/24330. Calculate the common denominator of v and -14\/5025.\nAnswer: 10050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 11346?\nAnswer: 22692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 12*d + 125. Let c be n(23). Let q = -397 + c. Solve -4*l + i = -2, -i = 4*l + i + q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 16346170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + ((-2)\/3)\/(1\/3). Is 2 a factor of (-1 + -8 + j)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(1\/6))\/a*a*a\/a**(-1\/11)*a**(-7)*a*a\/a**1)**(-1\/8))**26 assuming a is positive.\nAnswer: a**(3211\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -257*m - 2. Is f(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303002\/(-10351) + (6\/(-11))\/(-2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1820138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 63 (b) 0.3 (c) -70 (d) -0.25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144895.\nAnswer: 5, 28979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4*z*z\/z**(-3))\/(z**(-6)*z**(-5)*z))**(-42) assuming z is positive.\nAnswer: z**(-798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19\/37 + 1367\/2590. Let s(r) be the third derivative of c*r**5 + 0*r**3 + 1\/42*r**4 + 0*r + 1\/420*r**6 - 5*r**2 + 0. Factor s(u).\nAnswer: 2*u*(u + 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 973695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(0*s - 4*s + s) + 3 - 2*s - 3 - s + 3*s - s - s + 4*s - 4*s + (4 - 2 - 4)*(0*s + 3*s - s) - 2*s + 0 + 0.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*i - 13. Suppose 2*a - 3*m = -6*m - 2, 0 = -i*a + m + 12. Let w(o) = -3 + a*o - 4*o - 3*o**2 + 2*o**2 - 3*o. What is w(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.8009 + -136.44945. Let o = -111.19 - a. Let y = o - 0.46. What is y rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l**2 + 795*l + 660. Let p(q) = -8*q**2 + 794*q + 689. Let r(u) = 6*p(u) - 7*w(u). Factor r(g).\nAnswer: 3*(g - 54)*(5*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 84, -13, -4, -6.\nAnswer: -13, -6, -4, -3, 5, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1225342.65 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1166292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 338407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550925 is divided by 254?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 8:17 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7715.8361 + -537.43666. Let c = 7179 - f. Let d = 0.6 - c. What is d rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5991270 divided by 30?\nAnswer: -199709","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.166906 in 0, 0.1, 1, -2, 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7935 and 1860.\nAnswer: 983940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 20\/(6\/24*8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 23. Suppose -5*l - i = -74. Calculate the remainder when 2*-2*(-19)\/2 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41459?\nAnswer: 11, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/2618 and -179\/313446.\nAnswer: 3447906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2211 + 15472\/7. Which is bigger: 2\/75 or s?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 62. Suppose k - g = -5*b, -2*b + 12 - 2 = k. Suppose -2*s - x + 10 = -13, 4*s - b*x - 21 = 0. What is the remainder when 17 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 0.1 (c) -5647 (d) -3 (e) -0.04 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -316962*r + 641864.\nAnswer: -316962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -72. Solve 3*x - 5*c - 23 = -o, -5*c = 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 7*d + 2. Let h(k) = k - 1. Let l(t) = 6*h(t) + z(t). What is l(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8374697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 4. Let p be d(-3). Let j be 138\/33 - (6 + -4). Let l = j + -28\/33. Sort l, p, 5 in ascending order.\nAnswer: p, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mse when three letters picked without replacement from semsseemessem?\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1 = -4*b, g - b = -0*g + 1. Differentiate 3*j**4 + 5*j**3 + 4 - 5*j**g wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -540*i**3 + 45*i**2 - 61*i + 13. Is h(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 + 6*q - 1. Let t be o(5). Let y = 260 - t. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-10 - -7) + 2). Let f = 0.1 + 0.9. Which is the second biggest value? (a) f (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183 > 2258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10012 (base 3) to base 6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1525595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2. Let s(c) be the first derivative of -29*c**6\/360 + 24*c**3 + 37. Let i(v) be the third derivative of s(v). What is u(i(n))?\nAnswer: -3364*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.16864 + -0.05864. Which is the fourth smallest value? (a) -4 (b) n (c) 0 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-3 - (-1 + 5 + 6))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 7:25 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l + 3 - 3*l - 2*l. Let w(d) = -13 + 3*d - 4*d - 4*d. What is 2*w(a) + 9*x(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umyayymyyyyyy. What is prob of picking 1 m and 1 y?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 160*p = 156*p + 11298, 3*p = -5*q + 56575. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1279*l**3 + 430*l**3 + 422*l**3 + 425*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**2 + 2*o**3 - 3*o**3 - 5*o**2 - o**3 + 2*o**2 - 2*o**2 + (-2*o + 5*o - 4*o)*(4*o**2 - o**2 - 2*o**2) - 2289*o**3 - 2565*o**3 + 5151*o**3.\nAnswer: 294*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -139.9 + 139.5. Let y = -14 + 17. Put t, y, -0.3 in ascending order.\nAnswer: t, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2\/3 - 7022932*a - 36991180407468 = 0 for a.\nAnswer: -10534398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 14151188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, a: 3}. Give prob of picking 1 a and 3 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Suppose 0 = -5*v + 6*v + 2*c - 8, -22 = -3*v - 4*c. Calculate the remainder when v is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80060.\nAnswer: 2, 5, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (-2 - -8)) + -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 37 + 15 = 0. Calculate the greatest common factor of 121 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + t + 4. Which is the third biggest value? (a) t (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 11:12 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by -9.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 59, 4\/11, 3, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**2 - 6*j**2 - 16*j**2)*(-5*j + j - j) - 2 - 9*j**3 - 66*j + 4 + 65*j.\nAnswer: 66*j**3 - j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m - 1. Let b(j) = -4*j + 1. Let f = -14 - -9. Calculate f*b(n) - 7*p(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 374297459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92759 and 304658?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000065955288 rounded to seven dps?\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwl when three letters picked without replacement from wwwwmwwwwlwwllw.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by 11\nAnswer: -45\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-15) - 77\/(-15). Let r(s) = -6*s + 2*s + 0 + s**2 + 1. What is the units digit of r(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**7\/21 - 28*w**6\/15 + 13*w**5 + 26*w**4\/3 - 131*w**3 - 288*w**2 + 266*w - 1. Determine v, given that z(v) = 0.\nAnswer: -32, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221010 + 1?\nAnswer: -221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.20120386 + -0.07420493. Let f = 196 - 196.127. Let o = f + c. Round o to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**6\/120 + y**5\/30 + y**3\/3 + y**2. Is k(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 8. Let s be u(-10). Which is the nearest to 0? (a) -3 (b) s (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-4127.\nAnswer: -20635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -13\/60*b**5 + 0*b**3 - 2\/15*b**6 + 55*b + 1\/24*b**4 + 0 - b**2 + 1\/105*b**7. Find the third derivative of d(y) wrt y.\nAnswer: 48*y - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1265 + 1269. Let p(a) be the first derivative of -9*a + 0*a**3 + 0*a**f - 11 - 6\/5*a**5 + 0*a**2. Differentiate p(o) with respect to o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*f**2*q*x**2 - 3*c*f*q*x**2 + 2*c*f*q - 6*c*x**2 + 3*c*x + 313*f**2*q*x**2 + 2*f**2*q wrt f?\nAnswer: -2*c*q*x**2 + 626*q*x**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 5*h**2 - 12*h**2 - 4*h + 4*h + 5*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/2942 and 101\/4208.\nAnswer: 6189968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -15. Solve -4*i = -h*l, 3*i + 37 = -5*l - 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b = -5*p - 10, -p - 4*b - 2 = 0. Let c = p + 4. Let k(x) = -x**2 + 8*x. Let a be k(8). Solve 40 = 4*i + 5*v, a = c*i + 3*v + 2*v - 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (2 + 0 - 0). Suppose 2 = -3*f - 4, -h*f = 4*p - 56. What is the lowest common multiple of p and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -1\/20*o**5 + 0*o + 1\/24*o**4 + 1\/6*o**3 + 1 - 1\/2*o**2. Let p(z) be the second derivative of x(z). Give p(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106*d**5 - 141*d**2 wrt d.\nAnswer: 6360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*t = -7*g - 1, 0 = -g - t - 8. Let o be (-98)\/(-147) + g*4\/(-6). Let x(b) = -7*b**2 - 4*b - 4. Let s(u) = -u**2 - u - 1. What is o*s(q) - x(q)?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4183485953.\nAnswer: 17, 43, 101, 56663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -46. Solve -14 = w*u - 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31925 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxfxjxrxxwfx. What is prob of sequence xxf?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1280412882?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f = -2*h + 6, -h = 5*f + 12. Let w be h\/20*(-10)\/(-4). Are w and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idxdggidiiddddd. What is prob of picking 1 g and 1 i?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19*30\/2565 - 77245\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 505 - 211. Let g = d + -224. Calculate the remainder when g is divided by ((-16)\/(-5))\/(4\/30).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*v, 9*m - 6*m = -v. Solve -r - 9 + 4 = v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 365330 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102500 divided by 2.\nAnswer: -51250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -300954 divided by 232?\nAnswer: -150477\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*s - 17 = -b + 597*s - 298*s, -s + 111 = 5*b for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h. Let n(s) = s**2 - 6*s + 2. Give -n(c) + 6*t(c).\nAnswer: -c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -29911 (base 11) to base 4\nAnswer: -22111322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -152*x**3\/3 + 1188*x. Let z(m) = -3*m. Determine p(z(c)).\nAnswer: 912*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38901 is divided by 357?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -37129, -37143, -37157?\n\"Answer: -14*l - 37115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/15*9)\/(6\/8). Suppose -2*z = g*y - 8838, 2*z - 8775 - 23 = 4*y. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 26 + 5 = -3*z, 2*z = 4*t. Let v = 7 + -5. Solve -v*d + z = -0*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2109 - -14665. Is 30 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 12:43 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v**(2\/7)\/v))*v*v\/(v\/(v**1\/v))*v\/(v**(2\/17)*v)*v**(2\/33))**(10\/3) assuming v is positive.\nAnswer: v**(48250\/11781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1298 and 177518?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 17 + 473 = 0. Does 17 divide (-2 - 0)*f\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 21340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s - 21. Let m be l(-15). What are the prime factors of m\/(-78)*(0 + 32)*-5?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-14)\/90*283\/(29998\/(-530)).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 95*y - 26 = 98*y, 4*t - 2*y = -16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 17*l - 14*l - 8, 13*l = -5*h - 32 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o + m = 6, 0 = 3*o + 2*m + 6. Let u be (o\/2 + -2)*1. Let q be (u - 0)\/((-2)\/2). Solve 4*s + 5 = -d, -2*s + 1 = -q*s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63060864 divided by 1\nAnswer: 63060864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*q - 5*x - 18, 0 = -2*q - x - 18. Does 6 divide 136\/6 - (-6)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1433796034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n. Let z(g) = g**3 + 7*g**2 + 6*g + 1. Let x(v) = 2*b(v) - z(v). Calculate the remainder when 21 is divided by x(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + z + 7. Let y be r(0). Let q = y - -16. Suppose 1 = -w + q. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29729 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 152\/91?\nAnswer: 152\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45861119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*b = -80, -k + 0*k + 36 = 5*b. Let c = 26 - 32. Let f = c + k. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 3:26 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48845?\nAnswer: 5, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -323, -736, -1315, -2060?\nAnswer: -2971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.335908 to 2 decimal places.\nAnswer: -2.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 2, -60, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 272007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 159, 2 in ascending order.\nAnswer: -4, 0, 2, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**3 - 3*a**2 - a - 6. Let v(g) = 7*g**3 - 7*g**2 - 3*g - 12. Let k(n) = 5*o(n) - 2*v(n). Suppose -7*h = -4*h. Determine k(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**6\/120 - t**5\/15 - t**4\/8 + 2*t**3\/3 + 4*t**2. What are the prime factors of j(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.954464 months to decades.\nAnswer: 0.2162872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1, 1\/2, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18191957785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*l + 224*l - 381*l - 445*l in the form y*l + m and give y.\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3349620 rounded to the nearest ten thousand?\nAnswer: 3350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 h when three letters picked without replacement from {h: 2, o: 16}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 11:39 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18712, 19213, 20600, 23323, 27832?\nAnswer: 34577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven thirds of a hour?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/7 + 10*k**3\/7 - 8*k\/7 = 0 for k.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/20? (a) -3\/5 (b) 2\/11 (c) -0.3 (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -219 greater than or equal to -167595\/764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, -5\/4, -4, 3\/2, 2\/19 in increasing order.\nAnswer: -4, -5\/4, 2\/19, 0.13, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4617 (base 14) to base 13\nAnswer: 5705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 x when three letters picked without replacement from odobokxbkbddkbb.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 7:20 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 89782 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((4\/56)\/((-72)\/(-168)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 = 131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + (43 + -65 - (-2 - (-3 + 9))).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6667 + -3813. Let m = 562236\/197 - f. Let b = -233\/3546 - m. Find the common denominator of -47\/18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.05 (b) 5 (c) -3\/5 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.073 + 0.427. Sort 3, 3\/2, 1, l in ascending order.\nAnswer: l, 1, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2. Let g(s) = s**2 - 8*s - 4. Let k be g(9). Let q(b) = -72*b + 942. Let v be q(13). Sort v, i, k in descending order.\nAnswer: v, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.23127km to nanometers.\nAnswer: 55231270000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12709351 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 4*i + 27, -3*n + 5*n = -3*i - 19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 11*c**2 - 3*c - 14. Let v be g(-11). Solve 4*y + 7 = v, y + 9 = -4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1150837 is divided by 41?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**4 + 2419876*t**3 + 142762356*t**2 + 2175259724*t + 2034917240 = 0. Calculate t.\nAnswer: -604910, -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141454 is divided by 3747.\nAnswer: 2815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252387663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w**3 + w**2 - w. Let r(h) = -h + 213*h**3 + 2*h**2 + 187*h**3 - 405*h**3. Give -3*k(x) + 4*r(x).\nAnswer: -2*x**3 + 5*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1586 divide 157531728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1779*b + 157*b**5 - 1067*b - 3723*b**5 wrt b.\nAnswer: -71320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -470.604 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 15*p - 31. Let b(f) = 3*f**2. What is b(r(c))?\nAnswer: 675*c**2 - 2790*c + 2883","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9088761, -9088760, -9088759?\nAnswer: -9088758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2 = 6. Sort 0, g, -2 in ascending order.\nAnswer: -2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -252 - -278. Which is the second smallest value? (a) i (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2910?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 13*s**4\/24 - 40*s**2. Let b(k) = 3*k. Give j(b(m)).\nAnswer: 39*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28798 and 3465.\nAnswer: 1295910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9510 by -2603.\nAnswer: -9510\/2603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*y**2 - 40*y**2 - 34*y**2 + 110*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - 50. Is 1 + (5*w)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150 - -269. What are the prime factors of l?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 4 = 6*a. Let u(x) = 2*x**2 - x - 2. Let j be u(a). Suppose -3*z = -95 + j. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*y**2 - 58*y**2 - 8*y**2 - 23*y**2 to j*y + a*y**2 + m and give a.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9*u**3 - 27*u**2 + 27. Let k(s) = -s**2 + 1. Let c be (-82)\/(-615) + (-34)\/30. Give c*n(r) + 27*k(r).\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39641841, -0.4, 0.5 in descending order.\nAnswer: 0.5, -0.4, -39641841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -311, -465, -619?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*(c*c*c**(4\/9)\/c)\/c*c*c**(-11\/2)\/c assuming c is positive.\nAnswer: c**(-55\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j - 8*j - 19*j + 41*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -a + 9, 3*a - 14 = -0*t - t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/7 + 130\/70. Let w(u) = -6 + 0*u**x - 2 + u**3 - 5*u + 0 - 5*u**2. Give w(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 145.\nAnswer: 17\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277694627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l + 208. Let n(h) = -12*h. Determine n(j(c)).\nAnswer: 108*c - 2496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/343771 and 65\/106?\nAnswer: 36439726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 733 + 8*v - 7*v - 725 + v**3 - 7*v**2 + 0*v**3 + 6*v. Determine i(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 divided by -1\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -71719 from 0.019951.\nAnswer: 71719.019951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 4*r + 20 = 0, 4*o - 6 - 5 = -5*r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l. Let c(s) = -12*s + 1. Calculate -c(w) + 4*p(w).\nAnswer: 8*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4668463*i**2 - 7356653.\nAnswer: 9336926*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 74.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, o: 3}. What is prob of sequence mom?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 924\/(-80)*130\/(-364)*8?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -355*c**3*k**3 - c**3*k**2 + 10*c**3*k - 2*c**3 + 143*c*k**5 - 2*c + 44 wrt k?\nAnswer: -2130*c**3 + 8580*c*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 3:44 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**4 + 55740*k**3 - 37588*k?\nAnswer: 24*k**2 + 334440*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -137256076718 and 1249?\nAnswer: 137256077967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152 - 161*j - 448 + 147 + 136 to the form x + g*j and give g.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2202 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - 13. Let c(n) = -5*n**2 + 2. What is c(i(d))?\nAnswer: -20*d**2 - 260*d - 843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2556 is divided by (965 + -11)\/(-3)*-4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -853.9608 + 854. Is b greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i + 52 = 7*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - k - 2*k - 5*k + 13 = 2*g + 3, 0 = 4*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, v: 9}. What is prob of picking 2 v?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -61*z + 1263. Let g be q(19). Calculate the greatest common divisor of g and 1480.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 4\/7 - (-98672)\/196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-20)*175\/70.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**3\/3 + 113. Let c(v) = 7*v**2 - 18. Calculate j(c(i)).\nAnswer: 49*i**4 - 252*i**2 + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2652 and 16796.\nAnswer: 50388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -129333.9053 to the nearest 1000.\nAnswer: -129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-6)\/8*(-14)\/21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64675 and 1625?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696104 rounded to the nearest 10000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5109)\/21 - 6\/(-21). Let p = 10 - i. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102444520 (base 6) to base 10\nAnswer: -1810272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 504\/15 - 2\/(-5) - 1. Suppose -m*r - 24 = -39*r. Solve f + 0*f = r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.4, -4065668, -13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/4 - 4*p**3 + 29*p**2\/4 - 7*p\/2.\nAnswer: p*(p - 14)*(p - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49111\/16 + -3069. What is the fourth biggest value in -1\/4, 0.5, f, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3483, -8473, -13463, -18453, -23443?\n\"Answer: -4990*z + 1507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 363 and 870661.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(720))\/(sqrt(36)\/(sqrt(4) + sqrt(64))).\nAnswer: -40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 325250\/11 or 29569?\nAnswer: 29569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -997778*u**2 - 473*u - 545 wrt u?\nAnswer: -1995556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -34*p + 29. Suppose 0 = -86*d + 81*d - 80. Is o(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24700 and 819.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a5 + 6?\nAnswer: 1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4156 - 3491. What is the greatest common factor of j and 910?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y + 6. Let l be t(5). Suppose -6 = 171*v - 389 - 301. Sort 3, l, v in decreasing order.\nAnswer: v, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s + s**2 + 4*s + s - 5*s. Let j(i) be the first derivative of 2*i**3\/3 + 5. Give g(j(k)).\nAnswer: 4*k**4 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + -625?\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**5\/20 + 7*u**4\/6 - 7*u**3\/3 - 2*u**2 - 213*u. Does 5 divide s(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -9*q**2 + 13*q. Let s(o) = 4*o**2 - 6*o. Let t be (8\/(-4) + 4)\/2*13. Let a(g) = t*s(g) + 6*j(g). Let b(p) = 10*p**2 + 4*p. Calculate b(a(c)).\nAnswer: 40*c**4 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 14669 - 3893 - 19595.\nAnswer: -4*u - 38157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k - k)*(2*k**3 - 2352*k - 719*k**2 + 2352*k).\nAnswer: -2*k**4 + 719*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 616, 601, 556, 463, 304?\n\"Answer: -3*u**3 + 3*u**2 - 3*u + 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*s**2 - 2)*(-1 - 4 - 8) - 3 + 3 + 3*s**2 + (2*s - s - 2*s)*(3 - 3 - 2*s).\nAnswer: 31*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - 52*w - 90*w)*(-1 - 1 + 3)*(-2 - 2 + 1 - w)*(4*w - 3*w - 2*w) to n*w + v*w**2 + z + f*w**3 and give v.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330 (base 5) to base 8.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9614101, -19228282, -28842463, -38456644, -48070825?\nAnswer: -57685006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2833620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12664 by -4.\nAnswer: -3166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 6*l - 5. Let y be i(-7). Suppose -4*c + 6 = -2*z, 4 = y*c + z - 1. Suppose 213 = c*s + s. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2. Let g(o) = 2*o - 1833. What is g(d(n))?\nAnswer: 2*n**2 - 1833","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 2) + (-2 - (0 + 1 + -7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12491001871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4)*(-8 - (988\/9)\/(-13)). What is the closest to 94 in -1\/5, -3, 2\/11, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*k - 107*k = -30 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/348736 and -41\/544.\nAnswer: 5928512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w**3 - 10*w**2 + 10*w**2 + (100*w + 13*w - 44*w)*(-4 + 4 - 2*w**2).\nAnswer: -132*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3505638329 + 33?\nAnswer: -3505638296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-4) + (-90)\/40. Let g(a) = -a**2 - a + 1. Let w(z) = 4*z**2 + 5*z - 5. Calculate k*w(o) - 15*g(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 + (-1)\/2. Let a(i) be the second derivative of -7*i**4\/6 + i**3\/6 + i**2\/2 - 939*i. Calculate a(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 499, 132.\nAnswer: -2, -1, 132, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231660 is divided by 1753.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 7 = 2*h - 5*a, -2*h + 2*a + 4 = 0. Solve -h - 3 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65962149613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 99*d - 147. Calculate j(3).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + -56. Suppose t = -x - 0*x - 3. Put 1, 3, x, 5 in ascending order.\nAnswer: x, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17399392, -34798803, -52198214?\n\"Answer: -17399411*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-252)\/(-400) - 270\/(-2250))*(5 + -1). Determine a so that -2 + 12769\/4*a**q + 227*a - 12995\/2*a**2 = 0.\nAnswer: 2\/113, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - r**2 - 1. Let y be a(2). Suppose 3*f - 4*f + 6 = -z, 4*z = -f + 21. What is the first derivative of -33 + 2*s**3 + y*s**3 + f + 16 wrt s?\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59664 and 2640?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 2:24 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-9) + 4\/96*-14?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**10\/1260 - h**6\/360 - h**3\/6 + 2*h**2. Let x(c) be the first derivative of u(c). Find the third derivative of x(v) wrt v.\nAnswer: 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1926 and 234.\nAnswer: 25038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2356681154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + 3 - 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3840\/41 in -2, -0.2, 4\/7, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*r + 10. Let i = r + 8. Suppose 3*k + 2732 = i*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 49*k**2 + 418*k - 466. Give r(11).\nAnswer: 865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129205*-0.646.\nAnswer: -83466.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -339*o**2 + 30*o**2 - 131 + 13*o + 2*o**3 - 374*o**2 wrt o?\nAnswer: 12*o - 1366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 + 493*n + 318. What is u(165)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, o: 1}. What is prob of sequence zzoz?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 257556495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 33 = -3*w. Let i(m) = 3*m - 15. Let z = 1 + 5. Calculate the lowest common multiple of z and i(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 2*p**2 + p + 2. Let r be v(-2). Which is the closest to 2\/5? (a) 2\/19 (b) -2\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-568*o - 1498*o - 661*o)*(-4 + 2 + 6)*(4 - 6 + 1) to the form g + f*o and give f.\nAnswer: 10908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 3*l + 1. Let m be t(4). Solve 3*i - 5*d - 2 = 0, i + 4*i = m*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 276131750*w**2 + 3812437167903125*w.\nAnswer: 5*w*(w - 27613175)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/9*-9*59\/(-1770)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 g when two letters picked without replacement from {m: 7, g: 2, k: 2}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*h + 125, 5*c + 4*h - 5*h = 113. What is the remainder when 113 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00964 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 1063?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w - 2. Suppose -w*p = -p - 21. Suppose -b + 52 = -x, 3*b = 4*x + 139 + p. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 11:26 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((1232\/(-12))\/22)\/(4*1\/(-6))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -245 - -68. Let p = -460 + i. Let f = p + 46503\/73. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87532431 * -3\nAnswer: -262597293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, -0.01, 0.6, 2\/9?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/((21\/4)\/(-7)) - 0. Calculate the greatest common factor of 32 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -32*l + 426. Let m(n) = 7*n - 37. Let h be m(6). Solve 5*d = 4*q + l, -h*q + 16 = 4*d - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4 + 121*d**3 + 3944*d**2 + 16820*d = 0. Calculate d.\nAnswer: -58, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**4\/12 - 3*d**3\/2 + 3*d**2 - 3*d. Let t be g(9). What is the greatest common factor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -37. Suppose -w - m + 2 = c, w + 2 = 4*m + 14. Solve z = -a - w + 6, 2*a = 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.75 and 2297.\nAnswer: -20098.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1032320 to the nearest ten thousand.\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*d - 8 = 4*q + 119*d, 0 = -2*q - 4*d - 18 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + x - 360 = 0, x - 295 + 54 = -2*v. Let o = 315 - 195. Suppose 0 = -13*a + 17*a - o. What is the remainder when v is divided by a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**4*c + 13985*b*c + 45729*c - 1 wrt b?\nAnswer: -8*b**3*c + 13985*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 0 + 3 + sqrt(11) - (sqrt(396))**2.\nAnswer: -393 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02574 - 85.41426. Let c = -84 - h. Let m = -0.04 + c. Round m to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -35961*s - 5572. Is k(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4174483*0.4.\nAnswer: -1669793.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -616, -615, -614, -613?\n\"Answer: t - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**7\/420 + r**6\/90 - r**3\/3 + 2*r**2. Let x(i) be the first derivative of f(i). What is the third derivative of x(n) wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3333.069 and -0.2.\nAnswer: 666.6138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149289002 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 0*s + 1 + 1 + (0 + 0 + 1)*(4*s - 2 + 2).\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x. Let a(q) be the first derivative of 2*q**2 + 8. What is a(z(d))?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8621083 to the power of 1\/2, to the nearest integer?\nAnswer: 2936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**4\/3 + 7*w**3\/6 - 4*w**2 - 4. Let r(y) = 4*y + 4. Determine -4*h(p) + 7*r(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 10*c - 27. Is c at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6*6\/(-18))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, m: 1, l: 6, r: 3, i: 2}. Give prob of picking 1 g, 1 m, and 2 i.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*s - 259 + 2654 + 7743 = -35*s for s.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6198*w = 6183*w + 180975. List the prime factors of w.\nAnswer: 5, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/6 + 238*j**3\/3 + 57587*j**2\/6 + 112100*j\/3 + 27848.\nAnswer: (j + 1)*(j + 3)*(j + 236)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 0*i**5 + 26*i + 1\/7*i**7 + 0*i**2 - 2 + 0*i**3 - 5*i**4 + 1\/10*i**6. What is the third derivative of u(m) wrt m?\nAnswer: 360*m**2 + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by -1.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -11*z**2 - 3*z + 890. Let q(u) = 43*u + 5. What is -3*q(m) - 5*x(m)?\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - ((-1)\/(-4))\/(2\/8). Suppose 5*j = -25, j = k*a - 0 - 11. Solve -u = i - a*u + 10, 0 = -i - 3*u + 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxxqvxddquqqq. What is prob of picking 1 x and 1 v?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kekkeekkkkkk. What is prob of picking 2 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(1\/3)))\/t*t)**(-48)*(t\/(t\/(t*t*t\/(t*t*t**(-22)))))\/(t*t*t**(2\/75)*t*t*t*t) assuming t is positive.\nAnswer: t**(73\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 3. Let s(q) = -4*q**3 + 9*q**2 - 16*q + 25. Let a(k) = -s(k) - 3*w(k). Calculate a(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7299857 and -0.3.\nAnswer: -2189957.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1931)\/5)\/(113\/(-1695)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19733?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 943*t = 939*t + 20, 0 = c + 2*t + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49 - 81) + 40 - 50.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10*p**4 - 6*p**2 + 8. Let a(u) be the first derivative of -9*u**5\/5 + 5*u**3\/3 - 7*u - 1. Let m(y) = -6*a(y) - 5*c(y). Differentiate m(z) wrt z.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5609\/15 and -32 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 45563, 93479, 141395, 189311, 237227?\n\"Answer: 47916*r - 2353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3*p - 90, -m + 2*p + 80 = 7*p. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 1 - 3. Suppose 6*c + 5*l - 60 = 4*c, b = l. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + 3835114?\nAnswer: 3835129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -302 - -324. What is the least common multiple of t and 64?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 17*w - 504 = 0. Let m = w - -14. Let q = -66 - m. Calculate the remainder when q is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/9 (b) 1\/8 (c) 26 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21192, 84799, 190828, 339297, 530224, 763627, 1039524?\nAnswer: 1357933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28\/3 + -53\/6. Which is the smallest value? (a) x (b) -2\/3 (c) -1 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 537000 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 122413 * 4\nAnswer: 489652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2141241 (base 5) to base 7\nAnswer: -213036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s + 0 + 0 - 21*s. Let h(q) = 2*q**2. Determine h(d(a)).\nAnswer: 1458*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(5*a**3 + 13*a**4 - 5*a**3) + (-2*a**2 + 3*a**2 + a**2)*(a**2 + 5*a**2 - 5*a**2).\nAnswer: 28*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5284*-0.17.\nAnswer: 898.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 79*a - 5597. Does 59 divide w(82)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 575370.545\nAnswer: -575370.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13215 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -24*w**2 + 36*w**2 - 21*w**2. Let o(v) = -239*v. Calculate a(o(f)).\nAnswer: -514089*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f + 7*f - 4*f + 2 + 2*f. Give m(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 1d0a2da?\nAnswer: 1d0a2d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 236, 1\/3, 10\/11, 1\/25?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 + 27. What is the greatest common divisor of m and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 1\/4*d**3 + 0*d + 0 + 1\/2*d**2 - 1\/4*d**5 - 1\/2*d**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**3 - 5 + 2*l**2 + l**3 - 2*l**2 in the form u*l**2 + t*l + a + y*l**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3. Let k(o) be the first derivative of 3*o**4\/4 + o**2 + o - 730. Give 2*a(u) + k(u).\nAnswer: u**3 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 1:27 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-276*p**4 + 536*p**4 + 2 - 7*p**5 - 271*p**4)*(0 + 1 - 2).\nAnswer: 7*p**5 + 11*p**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006657727 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1636\/20287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 0.4, 3, 0.18 in descending order.\nAnswer: 3, 0.7, 0.4, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55? (a) -66 (b) -2\/17 (c) -233 (d) 1 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -625\/3 + 209. Which is the fourth smallest value? (a) -0.5 (b) 2\/9 (c) f (d) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*m - 2601 - 87. Suppose m - 194 = j. List the prime factors of 76\/j*42 + 4\/(-10).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h - 2*h - 2*h - 4*h**2 - 499 + 52 to n*h**2 + t*h + g and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-367)\/6 + (-50)\/420*(-11)\/385*49.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-16))\/(75\/(-400)). Put i, -4, 83 in decreasing order.\nAnswer: 83, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 1140.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, 4\/5, -4, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*t = 94*t - 2108. Suppose 9*c - 56 - 97 = 0. Calculate the greatest common divisor of c and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 23 = 10. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15291804289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**5 + 119*u**4 + 262*u**3 - 17600*u**2 + 67200*u = 0.\nAnswer: -14, 0, 5, 8, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*r**2 + 637*r**2 - 315*r**2.\nAnswer: 164*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2180 divided by -1090.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -865239*q**5 + 6479868*q**2?\nAnswer: -51914340*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/105)\/(-628 + 629)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010110011 + 0?\nAnswer: 101010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**5 - 222*f**4 + 3099*f**3 + 2616*f**2 - 34068*f - 50160 = 0.\nAnswer: -2, 4, 19, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 24909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 869*p**4 - 282 wrt p?\nAnswer: 3476*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p + 17 - 17.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 2*z**4\/3 - 2*z**3\/9 + 23. Factor u(l).\nAnswer: 2*l**2*(4*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -948, -969, -982, -987, -984, -973?\n\"Answer: 4*i**2 - 33*i - 919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -101020?\nAnswer: -101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34716 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*((s*s\/s**0)\/s)\/s)**18\/((s\/s**(-2\/19))\/(s\/s**(-2))) assuming s is positive.\nAnswer: s**(720\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*(q*q**(4\/11))\/q))*q**(-5)*q)**(-12)*q**(3\/4)*(q*q**(-3\/2))\/q*(q**(-2\/7)*q)**(8\/7) assuming q is positive.\nAnswer: q**(68351\/2156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6942 + 9774. Suppose -q - 2823 = -5*x, -14*x = -9*x - 4*q - c. Suppose d + 11*d = x. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) 315 (c) -44 (d) -26 (e) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1480*f + 4619*f + 2988*f.\nAnswer: 6127*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0 + 0)*(v - v + v) - v**2 + 3*v**2 + 0*v**2 - 3 + v**2 + 3 - 2*v**2 + 6*v**2 + 0*v**2 + v**2 - v**2 - 2*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -2\/43 (c) 0.1 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*g = -3*g + 2, 4*v - 3*g = 10. What is the nearest to -1 in 1\/2, 0.4, v, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-6) - (-5)\/15. Let o be (-264)\/(-9) - (-2)\/3. Calculate the greatest common factor of u and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*r - r + 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = 27. Let t(v) = v**2 + 3*v + 2. Let l be t(-5). Suppose 0 = l*x - 2 - 70. What is the remainder when s is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0*y. Suppose -215 + 51 = -4*k - 3*p, -k + 3*p = -26. Suppose y = z - 5*g - k, -4*z - 3*g + 12 = -25. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.063, -2, -303, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.4 - 8.6. Which is smaller: 0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13541 (base 6) to base 10.\nAnswer: 2149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147 and 4578.\nAnswer: 32046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.06 - -0.06. Which is the biggest value? (a) 0.05 (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 375243*h + 4127794.\nAnswer: -(h - 11)*(h + 375254)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19.047 or 40.75?\nAnswer: -19.047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 - -96. Sort -3, v, -13.\nAnswer: -13, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 - -231. Does 78 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4221033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16401?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*j - 17*z + 21*z, 5*z = -j - 1. Let o be 5\/9 - 2\/9. Put o, j, -0.5 in descending order.\nAnswer: j, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 1, p: 1}. Give prob of sequence lp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5 + 35032*g**4 - 596112*g**3 + 176804*g**2 + 25842190*g - 25457916 = 0. What is g?\nAnswer: -17533, -6, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 1\/5, -5\/2, 9\/26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 286966 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19)\/3 - 4\/(-12). Let i(f) = 7*f**2 + 3*f + 2. What is the remainder when i(-2) is divided by (26\/4)\/((-3)\/x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - i - 14 = 0, 5586*i = -2*q + 5577*i + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(3\/7)\/b))**(3\/4) assuming b is positive.\nAnswer: b**(33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.55 + 5.55. What is the closest to 1 in -0.3, -5, w, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -22\/8339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 5*j - 4. Let n be c(-4). Let w = n - 5. Suppose u + 44 = w*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 15786297.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/22)\/((-1)\/((-1)\/(-1))). Suppose y*c - c = -4*s + 1010, -3*c = 2*s - 512. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3200 = -5*h - 2*q, -h + 3*q - 2*q + 640 = 0. Find the second derivative of 4*y**5 - 15*y**5 + 630*y - h*y wrt y.\nAnswer: -220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.249445107 rounded to 3 decimal places?\nAnswer: -0.249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20445 - -54030. Let t = v - 1007659\/30. What is the common denominator of t and -57\/50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*g + g + 5*o, 4*o = 16. Suppose 0 = 8*p - g*p - 725. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4 = v, f - 172 + 61 = 4*v. Let j = 29 + v. Solve 3*o - 8*o + 4*y - 32 = j, 2*o + 4*y - 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 6 + -3 - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5035 - 4824.3. Let g = o + -210.69998439. What is g rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 67*l**5\/60 - l**4\/24 - l**2. Let h(t) be the second derivative of t**4\/6 - 23008*t. Determine h(d(s)).\nAnswer: 8978*s**4 - 268*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -10. Suppose 2*l - 6*l = -k*c + 4, -3*c = 3*l - 3. Suppose 0 = u - 3. Solve -17 = 3*m - o, l = -u*o + 10 + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 40924 and -5499373136?\nAnswer: 5499414060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -66 * -1.88\nAnswer: 124.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -9. Let k(i) = 8*i - 12. Let l be k(6). Calculate the highest common divisor of l and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -398*y**4 + 89*y.\nAnswer: -4776*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-3 + 0 + 4)*(3*h + h - h) + (-2*h - h + 4*h)*(-13 + 30 + 1) - 3*h + 2*h + 3*h.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3719.6 - -3720. What is the third biggest value in -37, 16, g?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one quarter of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4433159 litres?\nAnswer: 443.3159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**5 - 40*y**4 - 60*y**3 + 10*y**2 + 65*y + 30 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 20*o**3 - 3*o**2 - 11*o + 12. Let x be v(4). Suppose x = -10*f + 22*f. Which is greater: 99 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2 + 7*f + 3*f - 1 - 39*f. Let k(n) be the first derivative of -3*n**2\/2 + 27. Determine k(q(g)).\nAnswer: 87*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 7*k - 6. Let x(j) = -2*j + 4. Let w be x(4). Let o be y(w). What is the greatest common divisor of o and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1024, 1027, 1030, 1033, 1036, 1039?\nAnswer: 1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 25136?\nAnswer: 25136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**5\/3 - 10*q**4\/3 + 10*q**3\/3 + 10*q**2\/3 - 2*q = 0 for q.\nAnswer: -3, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l + 57523 = -76594. What are the prime factors of l?\nAnswer: 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -170.6?\nAnswer: 511.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 2:37 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o**2 + 17*o**2 - 57*o**2 + 12*o**2 + 20*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 39*l + 1439. Let n be r(-37). Suppose -x + 12 + 1 = 0. Sort x, 1, n, -2 in decreasing order.\nAnswer: x, 1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -1)**2 - (-2*sqrt(700))**2.\nAnswer: -2687 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2 = -2*k - 3*n, 2*k - 1500099*n + 14 = -1500098*n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.79 + -0.21. Let o = 27.625248 + -40.6254. Let v = o - l. What is v rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78084549?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 16 = -3*r. Let f(c) be the first derivative of -c**2 + 18*c - 664. Calculate the remainder when 16 is divided by f(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 26 = 4*m, 5*m - 10 = 3*x. Suppose 0*n + x*n = 700. Calculate the greatest common divisor of n and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 767*p**2 - 16*p + 5. Is l(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -17*f - 6. Let w(u) = -16*u - 6. Let n(z) = 5*m(z) - 6*w(z). Let g be n(2). Calculate the common denominator of 3*g\/60*-2 and 13\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 801.5 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -10*i**2 + 1. Let f(l) be the first derivative of -30 + 0*l + 2\/3*l**3 + 0*l**2. Determine f(r(o)).\nAnswer: 800*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14968\/(-6622))\/(-4) - (-144)\/(-168). Let g = -3\/473 - h. Suppose 0*b + 0 + 4\/7*b**4 + g*b**3 + 2\/7*b**5 + 0*b**2 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 - -92. Let s be 72\/39 + t\/26. What are the prime factors of -4 + s + (99 - 3)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(304)*-2*1 + (2*sqrt(2299) - (sqrt(19)*-2 + 2)**2)*3.\nAnswer: -240 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 21 = 81. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42910384 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + z)*(-2 - 2*z + 2) + 149*z - 149*z + 33*z**2.\nAnswer: 31*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1 + 11 = 0. Let z = 8 + j. Suppose 0 = z*v - 2*v - 75. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, b: 3, u: 5, x: 1, h: 1, j: 3}. What is prob of picking 1 x, 1 o, 1 h, and 1 j?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2886\/45 + 2\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 10*b - 4 = -4*r, -4*r = 2*b - 4. Let x(k) = 2*k + 1. Let n be x(1). Suppose n*s + 2*i - 41 = 0, -4*i = -2*s - b*i + 54. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + -9. Let b = 22 + r. Suppose b*f - 16 = 9. Solve -6*s + f = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-7*(-4)\/14). Let t(r) = -32*r**3 + 58*r**3 - 5*r - 27*r**3 + 7*r**z + 6. What is t(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 + (-44)\/12. Let s be (2\/3)\/(i\/30). Let g(l) = -l**2 - 5*l. Let j be g(s). Solve j*r + 2*r = -8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 0*a**3 - 3*a + 0*a**2 - 1\/60*a**4 + 0. Determine x so that o(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*f + 174578, -14*i + 18*i - 349153 = 5*f. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5589549mg in kilograms?\nAnswer: 0.0000005589549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618 is divided by 306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8084 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 463386 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 15160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 3:21 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 35.27907 days?\nAnswer: 3048111.648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 30*n**2 + 3*n + 3. Let h be j(-2). Suppose 0 = -3*a - z + 58, -z = -3*a - 2*a + 102. Let r be 165\/h - a\/15. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -103, -436, -985, -1744, -2707, -3868?\n\"Answer: h**3 - 114*h**2 + 2*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n**2 - 41*n**2 + 8*n**2 + 13*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1348 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -2*w**7\/105 + 6*w**6\/25 - 21*w**5\/25 + 19*w**4\/15 - 4*w**3\/5 - 80*w. Suppose y(o) = 0. What is o?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 1. Determine k(11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-29)\/14)\/((-1)\/(-8)). Let k = -5 + 4. What is the second smallest value in v, -0.02, k?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 721, 929, 1153, 1399, 1673, 1981?\nAnswer: 2329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 1}. What is prob of picking 2 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x + 34 = 0. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = 60*m - 473818 - 190190. List the prime factors of m.\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 9*i - 20. Let u = 71 + -60. Let v be a(u). Suppose 3*z + 133 = v*g, -5*g + 253 = -2*z - 85. Calculate the remainder when g is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*n - 14, -96 = 4*p + 3*n - 112. Sort -4, -1, p, 5, 69 in descending order.\nAnswer: 69, 5, p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 205 - 111. Let a = v + 16. Let m = -107 + a. Solve -4*j + m*j + 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1541 - 4578 + 302*q + 1503 + 1534.\nAnswer: 302*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftt when three letters picked without replacement from wmmtmmmmmtttmfwttft.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368*i = -363*i - 11015. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 3:29 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) -2 (b) 4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9144565723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -2\/15, -1, -4, 22?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7624 is divided by 305.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -640 - -640.083. What is the nearest to 2\/5 in p, 2, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -170*u + 171*u - 60, -5*u = x + 12 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1038126, -1 in ascending order.\nAnswer: -1038126, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -979, -3, 0, -43, 3.\nAnswer: -979, -43, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -52891912.\nAnswer: 1\/52891912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**5 + 134*a**3*p + 12*a*p - 9*a wrt a.\nAnswer: -20*a**3 + 804*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y**2 - y - 1. Let w(t) = 5*t**2 + 37*t + 66. Let a be w(-4). Let h(u) = -23*u**2 + 4*u + 5. What is a*h(x) - 9*v(x)?\nAnswer: -8*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/11 + (-8)\/44. Let x(w) = 5*w**2 - w. Let f be x(p). Suppose -f*g + g = 0. Solve c = 5*a - 2*c + 28, -2*a + 3*c - 13 = g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*x - 117*x + 56*x - 155*x**3 as r*x**2 + i*x**3 + g + k*x and give i.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - 5*x**3 + 4*x**3 + x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f**3 + 86*f**2 + 22*f + 14. Give g(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 18760, -1, 29\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2881 - 1517. List the prime factors of n.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 319813\/57 - 5611. Let c = d + -8\/19. Let r be (-3*1\/(-2))\/(42\/56). What is the nearest to r in -0.1, -0.4, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 704\/(-440) + 3\/60*892?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*y + 211 - 638, -4*g + 236 = 2*y. Is 24 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 3*g + 14. Determine q(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -a29d (base 15) in base 16?\nAnswer: -862c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 6. Which is the smallest value? (a) 1 (b) -0.027 (c) -4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. Suppose 3*u - 4 = -5*r, -3*u + 3*r + 29 + 7 = 0. Let d(k) = u*k**2 - 101 - 102 + 203. What is d(t(v))?\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8065 + 1607. Is 124 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10663, -21327, -31989, -42649?\n\"Answer: i**2 - 10667*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1 - 2. Let f be 2 - (-26)\/(-7) - -2. What is the nearest to 2\/7 in f, -0.5, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 619\/22 + -7871\/286. Solve -k*c**2 + 2\/13*c**3 + 2\/13*c + 12\/13 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*d - 6 = -2*p, -p = -2*d - 8. Solve -u = -0 + p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (198\/(-30) - -3)\/(2\/10). What are the prime factors of 253*3*(-6)\/c?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98735569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 5:43 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 151*c**3*x**2 - 285436*c**3 - 16*c**2*x + 2*x**3 - 15599*x**2 wrt x?\nAnswer: 302*c**3 + 12*x - 31198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 25*f**6\/72 - 32*f**3\/3 + 24*f. Let d(m) be the second derivative of h(m). Let w(i) = i. Give w(d(s)).\nAnswer: 125*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 276751 + 86.07\nAnswer: 276837.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 166009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.5, 74, -1\/5?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 930*r**2 - 26 - 144 - 929*r**2 + 20*r wrt r?\nAnswer: 2*r + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (0 + -4 - 4 - -2) - -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**4\/12 - n**3\/2 + 2*n**2 - 4*n. Let u(w) = -w**2 + 3*w - 3. Let f(g) = 3*l(g) + 4*u(g). What is p in f(p) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3762\/425, 594\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -136*v - 13. Let o(g) = g. Determine u(o(y)).\nAnswer: -136*y - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06179286 rounded to five dps?\nAnswer: 0.06179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*d + 391*d = 17*d + 856 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 + 0*r**3 + 0*r**3 + (4*r - 2*r - r)*(3*r**2 + 4*r**2 - 6*r**2) + (-r - 5*r + 4*r)*(-r**2 - r**2 + 4*r**2).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.15 + 1.15. Which is the nearest to 1\/6? (a) j (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 57*w + 86. What is g(-59)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 5. Suppose d = -4*p - u + 9 + 67, 2*u = 4*p - 64. What is the greatest common factor of 90 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 19 + -36 - -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + 5 + 4 + 1 + sqrt(57)\/sqrt(3))**2.\nAnswer: -940 - 130*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -142*i**2. Let w(z) = 4838*z - 9. Determine w(l(m)).\nAnswer: -686996*m**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-92)\/(-36) + -3. Let l be (0 - (-61)\/2)\/(3\/6). Let v = 60 - l. Which is the closest to v? (a) -5 (b) -0.6 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33213 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -4*a + 16. Let s = -4 - a. Calculate the least common multiple of (-28)\/6*(-702)\/63 and s.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0*l - 4*l - 273, -5*y = 4*l - 297. Calculate the remainder when y is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-729*q**2 + 218*q**2 - 154*q**2)*(0 - 4*q + 8*q + 2).\nAnswer: -2660*q**3 - 1330*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 538 - 122. Suppose -119 + q = 11*k. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.405 + 0.065. Let h = 7.7 - f. Let z = h - 4.2583. Round z to three dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1\/2, -0.09, -1\/4, 1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 2)*(176*u - 4586 + 4586)*(-2*u**4 + 0*u**4 + 3*u**4).\nAnswer: -1232*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 10500 = -m + 10497, 4*p = 3*m + 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3708, -5226, -6744, -8262?\nAnswer: -9780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + f = 18, -3*d + 213*f - 209*f + 20 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/90 + (-6)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 73?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 5*j + 1. Let f be s(-4). Find the second derivative of 37*o**2 + 44*o**2 + 21*o**f - 10*o - 81*o**2 wrt o.\nAnswer: 420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-57284*o**5 + 30462*o**5 + 30533*o**5 + (o**4 - o + o)*(4*o + 0*o - 3*o)).\nAnswer: -7424*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2157 + -2154. What is the nearest to -1\/8 in d, -0.4, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1)*(-2)\/(-7). Let o = -124.2 + 124.7. Which is the second smallest value? (a) x (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131027.\nAnswer: 13, 10079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g. Let k(w) = -2606*w**2 + 855*w. What is k(t(i))?\nAnswer: -23454*i**2 - 2565*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 160719061 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*(-4)\/(-12) - (-496)\/744.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a - -4a19?\nAnswer: 49cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 a when three letters picked without replacement from {a: 1, g: 1, b: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**5\/30 - w**4\/12 + 10*w**3 + 110*w**2 - 75. Let o(m) be the second derivative of p(m). Factor o(y).\nAnswer: -2*(y - 5)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = s - 3*s + 10, 4*o + 25 = 5*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = 3. Suppose -j*h - 3*b + 1853 = 0, h = -b + 2*b + 472. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -28*p**3 + 4*p**2 + 2*p + 4. Suppose 3*g = 2*j - 2, 128*j = 125*j + 6*g. Let w(x) = -56*x**3 + 9*x**2 + 5*x + 9. Determine j*w(h) - 9*v(h).\nAnswer: 28*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/(c\/((c\/((c**(-9)\/c)\/c*c))\/c))*c*c*c)*c**11*c)**(-11\/4) assuming c is positive.\nAnswer: c**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 88 = 15*h. Solve 3*a = -h*q - 7, -3*q - 5*a + 4 - 12 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2652345590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(48\/(-5)))\/(((-15)\/(-3))\/((-992)\/(-868))).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.325988134523 + 0.5.\nAnswer: 0.825988134523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b062 (base 14) in base 7?\nAnswer: -624152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 4\/((-12)\/(-9)). Suppose k = -g*k + 20. Suppose 14*d - k = 13*d. Which is the second smallest value? (a) -0.3 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.5405464 to 3 decimal places.\nAnswer: 74.541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/(-4)*(-56)\/10 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + h + 574. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -5c3?\nAnswer: -5bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 7*c - 2. Let b be i(-4). Find the second derivative of -20*a**4 + b*a + 8*a - 5*a wrt a.\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8017.625 tonnes to grams.\nAnswer: 8017625000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 31235598 divided by 6\nAnswer: 5205933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3225760*l**5 + 702760*l**2 - 12*l?\nAnswer: -193545600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 12*q**3 + 6*q**2 + 3*q - 38. Let z be m(-5). Let l = -1384 - z. What is the remainder when 566\/8 - 1\/(-4) is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f\/(f\/(f\/(f**0*f))*f))\/f)\/f*f)**4)**(-5\/11) assuming f is positive.\nAnswer: f**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111124, -222244, -333364?\nAnswer: -444484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1600 divided by 64\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 5*i**2 + 4. Calculate the least common multiple of 40 and g(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*i - 59*i = -111*i - 4*a, 8 = -5*i + 4*a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = v - 3*v - 5*z, 38 = -4*v + 5*z. Let y(u) = u**2 - 7. Suppose 4*x = 2*i - 16, 5*x - 25 = -5*i - 0. Let a(p) = p**2 - 6. Calculate i*y(m) + v*a(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r + 20. Let u(g) = -5*g - 41. Let d(k) = -5*i(k) - 3*u(k). Calculate d(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/5)\/j**(-8)*j\/j**(1\/3)*j**(-11))**(-16) assuming j is positive.\nAnswer: j**(512\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-270)*(-15)\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 148 = -6*n - 2*w, n - 36 = -w. Let l = 1 + 1. Suppose 2*p - n = -l*q, 3*q - 7*q = 5*p - 96. What is the greatest common divisor of p and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t + 2. Let r = -14 - -17. Let p(i) = 8*i - 6*i**2 + r*i**2 + 2*i**2 + 3. Let q(x) = 2*p(x) - 3*s(x). What is the second derivative of q(l) wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22953\/5 + -4627. Let t = 3084\/85 + g. Which is the second smallest value? (a) -3 (b) t (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 346368 and 396.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 4, v: 2, x: 1, z: 9}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -737 + 740. Sort -10, -4, n, 1 in ascending order.\nAnswer: -10, -4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134 by 2420.\nAnswer: 67\/1210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 7*t + 1. Let s be j(-7). Suppose -3*l + 50 = -s. Let n = l - -5. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 18 = -12*w. Solve 0 = w*m - 8*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 422 + 2142?\nAnswer: 3004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h - 13*h + 70865 - 70850 - 10*h - 6*h.\nAnswer: -h + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000349661 to 7 decimal places.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58043\/20 + 2901. Is 0 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-9)\/(-6))*-1. Let y be 0 - (1 + (h - -1)). Suppose -21 = -3*o - y*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2829 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2366909 to the nearest integer?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -18*-4*(-1)\/30*-5. Let y be (3 + 273\/9)*w. Calculate the highest common divisor of y and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u + 86206 = 50*u - 100484. What are the prime factors of u?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137715 is divided by 769?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 25\/30*24\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 1:27 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 143 + (0 - -1) - 0. Suppose -2*i - 3*s + 79 = -86, -2*i + 164 = 4*s. Let x = c - i. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 73305283547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 290012667155317825 - 290012669202846261.09999913. Let b = a + 2047528525.1. Let l = 89 - b. Round l to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 623 divide 23944382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*z + 3*z - 372, -4*c = 5*z - 665. Suppose -4*s + z = 9. Solve 5*g - s = -5*t, 5*g = 3*g + 4*t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - 1) + (2 - -36)*1. What is the highest common factor of 248 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3328, -3, 2.\nAnswer: -3328, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018716 rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9850 + -9736. What is the remainder when 744 is divided by r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3615\/(-5775) + (-3)\/(-5). Suppose -5*k + 117 = 3*i - k, 2*k = -2*i + 78. Let a = 38 - i. Which is smaller: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -4. Let x = -3 - j. Calculate the lowest common multiple of 10 + 1*(-1 + 0) and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**2)**28)**(-1\/5))**12 assuming q is positive.\nAnswer: q**(-672\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 98, 215, 416?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c**3\/5 + 48*c**2\/5 + 72*c\/5 = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19637 - 216009\/11. What is the fourth biggest value in -1, -5, 3, 18, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 352, 546, 764, 1012, 1296, 1622?\nAnswer: 1996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5.8, -3.888, 10, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 10*d - 2. Suppose k + a + 4 = -0*k, 0 = 5*k + a + 40. Let u be j(k). Is u\/7 + -1 + 49 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 138?\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 3*r**8 + r**5\/5 - r**4\/2 - 392*r**2 + 1996*r. What is the third derivative of k(j) wrt j?\nAnswer: 20160*j**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 = -0. Let l(z) = z**2 + 1. Let b be l(x). Let m(w) = -5*w - 37 - 39 + 79. What is m(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 8*i**2 - 9*i - 14. Suppose -5*l + 6 = -3*q, -2 = -l - q + 4. Suppose -42 = l*d - 21. Let p be u(d). Solve p = -0*o - 2*o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**4\/2 - 2*s - 229. Let w(a) = 3*a**3 - 5. Calculate 5*p(i) - 2*w(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 382567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.526 + -13.456. Let w = l + -0.07. Let g = -80276 - -80273. Which is the biggest value? (a) w (b) 5 (c) g (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*l**3 - 4225*l**2 + 6*l + 1810 wrt l?\nAnswer: 30*l - 8450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 475, 2024, 4837, 9106, 15023?\n\"Answer: 32*b**3 + 440*b**2 + 5*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/10*(2 - 840). Suppose -o = -3*s + 6808, -s = -3*o - 1845 - b. What is s rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -401*k + 76. What is the remainder when 453 is divided by p(0)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4593205*z**3 - 4594116*z**3 + 9189383*z**3.\nAnswer: 2062*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79863.9968031 - -79864. Round s to four decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1809768647 to the nearest integer?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 4*d - 4*d)*(-1 + 1 + 2*d**2)*(42 - 11 + 28) + (2 + 2*d - 2)*(4 - 3*d**4 - 4).\nAnswer: -242*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 7*i + 60. Do -5\/2 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 81 = 11. Let d be ((-2)\/(-4))\/(r\/(-920)). Solve -d = -0*l + 5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4939 is divided by 381?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -1\/3, 4, -19, -2, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i - 2448 = 50*i + 174*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/sqrt(576)*3.\nAnswer: 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2551484 - -3?\nAnswer: 2551487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 41 - (-49 - (9 - 111))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160365550?\nAnswer: 2, 5, 313, 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5319976 nanograms to milligrams.\nAnswer: 0.0000005319976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -356 (b) 0.5 (c) -4 (d) -0.068 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 + 73. Let b(t) = -t**2 - 6*t + 2. Determine b(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 17 + 6 = 5*y, -16 = -4*y + j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 241, -15414, -5 in descending order.\nAnswer: 241, -5, -15414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.8 + -6.31. Let k = 0.51 + u. What is the third smallest value in -0.4, 0.5, -1, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, a: 9}. Give prob of picking 1 l and 3 a.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1110*a - 1649. Is 124 a factor of f(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*sqrt(121)*-3 - sqrt(121)*2*6))\/(6*-1*sqrt(704)*-5).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 185 = -389. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2551 + -1325. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 100219\/32796 + -1\/3644. Let j = 2\/28281 + -228823\/56562. Find the common denominator of j and l.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 0 + 0*c + 1\/2*c**3 + 1\/4*c**4 - 2*c**2. Let k(b) = b + 1. Calculate -f(j) + 4*k(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -31. Let t be 5 + 1 + (-1 - 0). Suppose 0 = -2*l + t*j + 62 - 24, -5*l + 124 = 2*j. Calculate the remainder when l is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 752204854?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 8:04 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -433, -934, -1625, -2500, -3553?\nAnswer: -4778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5430 and 33?\nAnswer: 59730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((-2 + sqrt(13))*-4 + 1)**2 - -6*(sqrt(117) + -3*sqrt(117))**2).\nAnswer: -72*sqrt(13) + 3095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 101540 and 6?\nAnswer: 304620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*l + 1199424 = 1190478 for l.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4)*c*c\/((c**16*c)\/c) assuming c is positive.\nAnswer: c**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*u + 150 - 38. Let g(j) = -j**3 - 10*j**2 - 11*j + 1. Give g(u).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**2 - 7700*s + 2964500 = 0.\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 81, 203, 367, 573?\n\"Answer: 21*m**2 + 59*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, j: 3, q: 2, p: 2}. Give prob of picking 2 j.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 2*n. Suppose 0 = -3*q - 3*a - 21, -q + 0*a - 3*a = 17. Give j(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131002 (base 9) to base 16\nAnswer: 13667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -5*j**2 + 328*j - 1167. Give t(33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 216*u**2 - 458*u**2 - u**4 + 2 + 4*u**3 + 0 + 232*u**2 to the form f + a*u**4 + n*u + o*u**2 + r*u**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22230*j + 471864 = -2484726 for j.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*n = -124*n + 26. What is the remainder when 205 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 2*w**2 - 3*w - 3. Suppose 6*g = 4*g + 4. Let o be g\/(-6) - (-114)\/18. Is u(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41.04 - 42. Let r = 0.96000186 + g. Round r to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-12) - (3\/(-3) - 18). Find the third derivative of -4*w**2 - f*w**6 + 6*w**2 + 46*w**2 + 9*w**6 wrt w.\nAnswer: -1560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -1 - (2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, s: 1, p: 2, o: 1, l: 1, n: 1}. Give prob of sequence lso.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0965472472 to four dps.\nAnswer: -0.0965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 70639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 34. Let m be ((45\/(-6))\/(-3))\/((-385)\/88 + 5). Is m at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i. Let f = -663 - -658. Sort i, f, -1 in descending order.\nAnswer: i, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 >= -17\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1974 divided by 282\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/1*(2 + -5). Suppose -40 = 2*g + q*g. Let h(c) = c**2 + 6*c - 2. What is the tens digit of h(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 73*z**2 - 34*z + 2216. What is b(-72)?\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -486566 divided by -211\nAnswer: 2306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*c**2 - 31*c**2 - 7*c**2.\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 453156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*r - 20, 0 = -2*m + r + 2*r + 10. Let x = -0.3 + -0.7. Put m, x, 4 in ascending order.\nAnswer: x, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 70 in -24, 15, 64, 0.1?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 172767183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 15 = 5*i. Solve -j = -i*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*w + 1261 = -629 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -21*j - 8. What are the prime factors of v(-7)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)*-4)\/sqrt(3).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 + 850*z**2\/3 - 2524*z\/3 - 3376\/3.\nAnswer: -2*(z - 422)*(z - 4)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 11 = 3*d, 0 = n + 4*d - 28 + 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 12:06 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from kfwfwpwwwpvvwpv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**3 + 3*c**3 + 34*c**2 + 7*c**3 - 11*c**3 in the form n*c**2 + v + f*c**3 + s*c and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11285 and 777?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -177*l - 531. Let j(n) = n**2 - n - 3. Let f(x) = -177*j(x) + k(x). Let o(p) = 5*p**2. What is o(f(y))?\nAnswer: 156645*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 157*a**3 - a**2 + 8*a + 6?\nAnswer: 942*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2712 + 3362. Calculate the lowest common multiple of q and 5.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 - 0 - (2 + -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.45 and 0.14.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 24*q + 178. Determine i(-20).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596888 is divided by 257?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 = 27*q - 7*q + 5*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*w - 7 - 27, -3*j + 37 = 2*w. Let y be 5\/(-3) + (w - 9). Which is bigger: y or 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -8*d + 13*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35039787177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + (2 + -7 + 4 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 0 - (-1947)\/33. Let w = 62 - i. Which is bigger: w or -12\/17?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 + 3 = -3*z. Let o = z - 25. Which is smaller: o or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 7)*((-9)\/2 + 1). Let h be ((-90)\/(-4))\/5*-2. Which is smaller: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11\/2, -4.9, 1, -1\/3?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + 0.2. Let o = -0.488 + -0.512. Put x, -7, o in increasing order.\nAnswer: -7, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5676177ug in tonnes?\nAnswer: 0.0000000000005676177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5244*j**3*x - j**3 + j**2*x**2 + 8831*j**2 - j*x**2 wrt x.\nAnswer: -5244*j**3 + 2*j**2*x - 2*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 26, 65, 120?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/9)\/(0 + 32\/24). Let k = 3 + 7. Let p = k - 12. Which is the third biggest value? (a) p (b) -2\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(24)\/(sqrt(120)\/sqrt(10) + sqrt(12))))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1213 - -7.2.\nAnswer: -1205.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axfnxafsxfsafffffef. What is prob of picking 1 s and 1 f?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 104201 (base 8) to base 9\nAnswer: 52837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19917 times -0.11\nAnswer: 2190.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-120)\/200*(-335)\/3. Is t at most 598\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.67 rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -509*g**5 + g**4 - 15*g**3 - 4143*g**2 - 43 wrt g.\nAnswer: -30540*g**2 + 24*g - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -15*6\/243*-6. Let t be (-2)\/((-6)\/(-9)*81\/(-108)). Factor -16\/3*h**t + 4\/3*h - 8\/3*h**3 - m*h**5 + 0 + 16\/9*h**2.\nAnswer: -4*h*(h + 1)**3*(5*h - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -79. Let t(s) = 145. Let h(k) = 11*q(k) + 6*t(k). Let r(l) = -l. Let c = 11 + -13. Give c*h(f) + 3*r(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32228784481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.331 times -819600?\nAnswer: -271287.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -6*u**5\/7 + 688*u**4\/7 - 2946*u**3 + 51748*u**2\/7 - 6336*u + 1792 = 0.\nAnswer: 2\/3, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.81652ms in microseconds?\nAnswer: 73816.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.7 less than -1.4967?\nAnswer: 25.2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -498*j - 1. Let b(q) = 1493*q + 3. What is -4*b(i) - 11*l(i)?\nAnswer: -494*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 904, 1807, 2710, 3613?\n\"Answer: 903*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 7*q - q**3 + 1 - 5 - 12*q**2 + 4*q. Let r be g(-10). Let w be (-5)\/r + (-40)\/22 + 2. Which is bigger: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*w - 9*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8057, -8637, -9209, -9773, -10329, -10877?\nAnswer: -11417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwl when three letters picked without replacement from lewgegwewgglewwggw.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 16. Let q be n(0). Let j be 1\/(q\/(-6) + -2). Which is the closest to j? (a) 2 (b) -2\/11 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -16a0a?\nAnswer: -16a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7411 - 10923.8. What is l rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) -0.3 (b) -2\/13 (c) -2341 (d) 2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - -5*sqrt(539)*-5 - sqrt(539)*5*-3)*-1.\nAnswer: 63*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b (base 16) in base 7?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -12*f**4 - 28*f**3 + 20*f**2 + 100*f + 40. Let i(w) = -4*w. Let u(z) = 6*i(z) + v(z). Solve u(a) = 0.\nAnswer: -2, -1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 l when four letters picked without replacement from qqqqqlqllqqqqqqqh.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 337886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzhzllltlzztlzbc. Give prob of picking 2 l.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 3*t**4 - 4 + 5*t**4 - 2*t**4 - 4*t**4 + 0*t**4 + t**4 + t**4 + (-4*t + 5*t + 2*t)*(29 - 29 - 23*t**3).\nAnswer: -65*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**4\/12 - 5*j**3\/6 + 7*j**2\/2 - j. Let i be x(-10). Suppose 3*t - 35 = i. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 5483435?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 - 15*t**3 + 15*t**2 - 5*t.\nAnswer: 5*t*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 76*z**3 - z + 11*z**3)*(-2*z + z + 2*z) to i*z**4 + r*z**2 + j*z**3 + t*z + s and give i.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 10*j**2 - 9*j + 6. Let p(s) = -27*s**2 + 233*s - 19. Let z(n) = -67*n**2 + 561*n - 47. Let q(v) = 12*p(v) - 5*z(v). What is -6*q(d) + 7*u(d)?\nAnswer: 4*d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from eecccccccce.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269944 divided by -4?\nAnswer: -317486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1568 and -43\/7140.\nAnswer: 399840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 3*i**2 + 2*i - 5. Let j(t) = -t**2 - 3*t + 2. Let o be j(-3). Suppose 9 = -o*g - 1. Is q(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, g: 3}. What is prob of picking 3 w?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109.14 - -121. Let r = k - -0.14. Let t = r - 11.999985. Round t to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 - 25. Let m(y) = y**3 + 75*y**2 + 473*y - 208. Let o be m(-68). Let g(b) = 2*b**2 - 26. What is o*g(c) + 3*f(c)?\nAnswer: -2*c**2 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 34*y - 83. Let j be s(39). Solve -j*p = -100*p + 84 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/36 and -5\/82.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28924 and 4.\nAnswer: 28924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o + 26*o - 82*o**3 + 78*o**3.\nAnswer: -4*o**3 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 242692903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 7*l = -22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, u: 3, c: 1, i: 10}. What is prob of picking 1 c and 1 q?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5063*j**3 - 384*j**3 - 4325*j**3 + 0*j**2 + j**2.\nAnswer: -9772*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 10:05 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 6*z**2 - 2*z - 2. Determine i(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52292000 rounded to the nearest 100000?\nAnswer: -52300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -527 = -a - y + 3*y, y = -4*a + 2117. Let k(i) = 5*i**2 + 22*i + 67. Let z be k(-3). What is the greatest common divisor of a and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-1 + 1 - 3*n)*(-10645*n**2 + 5 + 9835*n**2 - 4).\nAnswer: -4860*n**3 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 69*t + 7176. Determine i(57).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34153 divided by 119?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956473.\nAnswer: 7, 107, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 - 24*b**2 + 60*b - 401. Let k be z(11). Solve 0*v + n - 5 = v, 3*n = 4*v + k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -0.8, 5, 1.14?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5095.\nAnswer: 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000862219 to 6 dps.\nAnswer: -0.000862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*j + 3*y, 2*j - 3*y - 4 = -17. What is the closest to 1 in j, -2\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -39. Suppose -18 + 48 = x*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117653\/92 at least 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*a + 32. Let k = a - -13. Suppose -k*j + 273 = -2*g, -g = -3*g + 2. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(294)*-2)\/sqrt(7) + (sqrt(420) - 2*sqrt(420))\/sqrt(10))\/(sqrt(864) - (sqrt(864)*-3 + sqrt(864)) - (sqrt(486)*1 + sqrt(486))).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-4))\/((-9)\/(-72)) - 1. Let z be a\/((4 - 12)\/8). Let w = -3 + 5. Solve -13 = z*m + w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9895\/1006 - -4\/1509. Let i = x - 14\/3. Calculate the common denominator of i and (-3 + 45\/(-12))*-6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r + 9*r + 5*r + (-21 - 7*r + 21)*(3 - 1 + 0) + 0*r + 2*r - r)*(-2*r - 4*r + 0*r) to the form y*r**2 + h + z*r and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11046 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 6:21 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5434 and 404092?\nAnswer: 4445012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, -2\/895, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -329 - -658. Suppose 0 = 9*y + g - 2237. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142 + -8195021063\nAnswer: -8195020921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 353*v**6 - 658*v**2 wrt v.\nAnswer: 42360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 + 40 + 27*i + 22 + 23*i - 48 to the form h + f*i and give f.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 14 = 4*j, 2*j + f - 5*f + 6 = 0. Let o(h) = 16*h**2 + 2*h - 1. What is the tens digit of o(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 10*t + 41. Let k(n) = -5*n - 20. Let c(a) = 4*h(a) + 9*k(a). Calculate the remainder when 10 is divided by c(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 34 + 9 + 3*z**2.\nAnswer: 3*z**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 27591 divided by 2396\nAnswer: 27591\/2396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8 + -42*(-428)\/32*149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: (13344\/3614)\/((-3)\/(-26))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-91) - (-2 - 430\/(-175))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 j, and 1 g when three letters picked without replacement from ggglddggdlldj?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 133*l - 837. Let f(w) = 12*w. Determine -2*c(s) + 22*f(s).\nAnswer: -2*s + 1674","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -176 divided by -44\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 326 - 592. Let n = 265.8 + j. What is the nearest to 2 in n, 0.7, 0, -1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-50)\/(-14) + 2\/(14\/3). Solve -4*c - 24 = 4*s, -b*s = -s - 3*c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 83497 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(28\/9)\/(g*g\/(((((g*g**(-3\/4))\/g)\/g*g)\/g)\/g)) assuming g is positive.\nAnswer: g**(-59\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2835)\/420*(-2)\/(-9))\/(3*1\/74)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 36*y**5 - 6*y**3 + 6*y**2 - 37*y - 6. Let j(u) = u**5 - u**3 + u**2 - u - 1. Let q(t) = 6*j(t) - v(t). What is the second derivative of q(f) wrt f?\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*f - 8. Let a be -2 + (92\/1 - f). Calculate the highest common factor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -480306 or -1921223\/4?\nAnswer: -480306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25822141 + 14864294. Let k = s + 5271117. Let v = k - 25913270. Round v to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 11:55 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 11*b - 17. Let l be w(-12). Put 0.8, -1, l in decreasing order.\nAnswer: 0.8, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -761 < -3807\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 944\/5486079 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -88.1153\nAnswer: 264.3459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 180*f**2 + f + 2*f**3 + 165*f**2 + f**4 - 351*f**2 as z*f + w*f**2 + j*f**4 + c*f**3 + m and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 3. Suppose -3*p + j = 0, 0 = -4*p - 2*j - 6 - x. What is the remainder when p\/4 - 788\/(-16) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 402 (base 5) to base 11\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 8. Suppose -7 = 3*b - 19. Suppose -b*v = -5*v + 41. Suppose 2*n = -5*o + 9 + v, n = 4*o - 40. Give f(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-5)*(-320)\/(-384).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1061421, -1061420, -1061419, -1061418, -1061417, -1061416?\nAnswer: -1061415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148917 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 2*b + 9 - 4*b**2 - 6*b + b**2. Is v(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217647407 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: Suppose 4*w - 1236 = -4*t, t = -3*w - 2*w + 325. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-155)\/(-6))\/(1340\/1608).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 7*v - 4. Let h be l(3). Suppose h*a + 1545 = 23*a. Suppose 0*y - 409 = -4*p + y, y = p - a. What are the prime factors of p?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*k*p**3*y - k*p**2 + 3*k*y - p**2*y - y + 2 with respect to p.\nAnswer: 12*k*p**2*y - 2*k*p - 2*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 9*b**2 + 8*b - 6. Suppose -4*l = -77 - 19. Let n = -16 + l. Let p be y(n). Let m(g) = -g**2 - 5*g + 2. Give m(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27286955 is divided by 183.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1065266.4 less than 2.6875?\nAnswer: 1065269.0875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6676901 litres?\nAnswer: 667.6901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 796\/(-4)*(-1)\/1. Suppose 269 = 2*f - r. Suppose f = 2*x + 4*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/42084 + 7436845\/42084. Let t = 177 - c. Factor 0*l**2 - 2\/7*l**3 + t*l + 0.\nAnswer: -2*l*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -245 + 243. Calculate the common denominator of (c\/30)\/(-1 - (-162)\/170) and -97\/62.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*q + 2628, g - 149*q + 150*q = 524. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73796775 is divided by 283.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1501027 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-15)*0)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/195 in -57, -2\/17, -2\/5, -4, 1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 235\/5346294 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 2\/19, 0.46, -1\/5?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*(z*z**2)\/z*z)*z)\/(z\/(z\/(z\/(z**(2\/91)\/z))*z)) assuming z is positive.\nAnswer: z**(-362\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/196 and -83\/18?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 5*c = 3*m - 22, 2 = -c. Let f be 19\/3 - (-1)\/m. Let j = -3 + f. Solve 0*i - 5*i = -2*u - 1, u = j*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2743, 2744, 2745, 2746, 2747, 2748?\nAnswer: 2749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 22858068 divided by 6\nAnswer: 3809678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -18 - 86. Suppose 36 = -o*t + 19*t. Suppose 9*x - 4*x - 5*u - 25 = 0, 2*x + 3*u - 10 = 0. Solve x*b = -n + 22, -2*n - t*b = -b - 24 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -12*x - 45. Which is smaller: 3 or x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -294901\/28 + 10536. Let k = q + -253\/14. Calculate the common denominator of k and 513\/855 + (0 - 786\/(-140)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63.1 - -63.1. What is the nearest to w in -1\/2, 0.1, 4, -14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 + 14*l**2 - 65*l + 326. Let p be j(6). Suppose q = 5*q. Solve -3*o - p = -5*s, 3*o + 3*s + 0*s = q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27438 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 - 9*p - 15. Let y(o) = 2*o**2 - 5*o - 8. Let j(v) = 4*l(v) - 7*y(v). Let n(z) be the first derivative of j(z). What is n(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6695)\/4738 + ((-26)\/(-4) - (-24 + 29)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 6. Let z = s + 56. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 242957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3 + 4*h**2 + 447736*h + 1278329 wrt h.\nAnswer: -3*h**2 + 8*h + 447736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239859, 240272, 240685?\nAnswer: 241098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -42\/5 (c) -277 (d) 25 (e) 0 (f) 3 (g) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.844098 + 528125\nAnswer: 528124.155902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 - 34. Suppose k = -2*a + 328, 330 = 43*k - q*k + a. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -542*m**2 + m*p**2*u**3 + 5*p**2*u**3 + p**2*u**2 - 1564*p*u wrt m?\nAnswer: -1084*m + p**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7896*y = 15641*y - 8355*y - 61000 for y.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (-10 - (-13 + 28)) + (0 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17\/5 - -1047\/305. Let i = f - -57\/122. Which is the third smallest value? (a) -1 (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -100830*j**2. Let s(m) = 10*m. Give s(t(x)).\nAnswer: -1008300*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 4954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 167\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1836*q - 52294 = -541*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 0. What is the units digit of (-105)\/(-12) + y\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -3*l - 46. Determine p, given that -184*p**3 + 365*p**l - 178*p**3 + 16*p + 13*p**2 + 4 = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + (-1 - -3) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/13424 and -17\/72.\nAnswer: 120816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 + -12) - 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 9*h - 27. Let l be k(11). Which is smaller: l or 117?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 times -2857002\nAnswer: -97138068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = w - 5*w - 24, -4*m + 5*w + 29 = 0. What is the least common multiple of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5 + 1. Let g(w) = w**2 - 3*w - 3. Let o(i) = 2*i**2 - 4*i - 4. Let c(n) = f*o(n) - 4*g(n). Let s(l) = 6*l**2. Give c(s(y)).\nAnswer: 72*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-6))\/(1\/(-3)). Is l < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.2, 0.1, 29, -5\/897, -4?\nAnswer: -5\/897","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 45, 56, 89, 156, 269?\n\"Answer: 2*z**3 - z**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9408 = 64*i - 102*i - 186*i for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 139*q - 219. Calculate w(8).\nAnswer: 893","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l**5 + 4*l**3 - 2644*l**2 + 462739*l wrt l.\nAnswer: 80*l**3 + 24*l - 5288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1331, 0, -1 in ascending order.\nAnswer: -1, 0, 1331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 24. Let y = -674 + 690. Calculate the remainder when n(7) is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 + m - 1. Let l be i(1). Let u be ((-9)\/(-6))\/(l\/(-8)). Let s(g) = -g**3 - 2*g**2 - 4*g. Let t be s(u). Round t to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -75, -169, -301?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -120, -509, -1158, -2067?\n\"Answer: -130*z**2 + z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -19*f**2 - 5*f + 3. Let s(w) = -18*w**2 - 4*w + 2. Give -5*s(m) + 4*u(m).\nAnswer: 14*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - 8 - -15 - (-9 - -27)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34858101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-3)\/(-6) - 1. Let y(h) = h**2 - 79. Let o be y(-9). Solve u + o = -b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223346901116 less than -0.3?\nAnswer: -1223346901116.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 24 + 8*n + n.\nAnswer: 7*n - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 8:02 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 8:15 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4488, -1, -4, -5, -17 in descending order.\nAnswer: -1, -4, -5, -17, -4488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - -26 - ((-3 - 43) + 11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + c**2 - 1. Let f(b) be the second derivative of b**5\/20 + 2*b**4\/3 - 7*b**2\/2 + 4*b. Let l(z) = -f(z) + 6*v(z). What is l(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*h + 11*h + 6*h**2)*(92*h - 2*h**3 - 92*h) - h**5 + 4*h**5 - 5*h**5.\nAnswer: -14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 20*b + 15. Let z be m(6). Suppose 0 = 5*i - 305 - z. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-24)*w)*w*w**(-2)*w)\/(w\/(w**(-6\/13)\/w)*w*w*w*w\/w**(-21)) assuming w is positive.\nAnswer: w**(-45\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and 1365.\nAnswer: -1092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -79, -144, -209, -274?\n\"Answer: -65*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 6*s**2 + 2*s + 3. Let x be m(6). Is 15 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 270de6 (base 16) to base 8.\nAnswer: 11606746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(325) + -5 + sqrt(325) + -2))**2.\nAnswer: -5040*sqrt(13) + 48564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4 = -0*i. Let g be (-12)\/(-16)*i*8. Let q = 29 + g. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/19, -23, -0.4, 0.0435, -2\/3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3 + -1.2. Let t = f + 6.4. Let b = -2.81 + t. Do b and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 76 = -2*t - 684, -795 = -5*f - 5*t. What is the smallest common multiple of 627 and f?\nAnswer: 8778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5390 and 3553?\nAnswer: 1740970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-2)\/((-6)\/3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7186 + 7253. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4951328185.\nAnswer: 5, 281, 3524077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 29*m**2 - m + 5. Let h(q) = 57*q**2 - 4*q + 9. Calculate -3*h(g) + 5*w(g).\nAnswer: -26*g**2 + 7*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53803361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 97.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -22 + 7617 + -7567.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1943*m = -1956*m. Suppose 0*c**3 - 1\/3*c**2 + 0 + m*c + 1\/3*c**4 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q + 7 - 7)*(-5*q**2 + 2*q**2 + 0*q**2) + (6*q - 4*q - q)*(-4 + 4 + 2*q**2) + 0*q**2 + 0*q**2 - q**3 - 2*q - 2*q**3 + 2*q.\nAnswer: -25*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 511089248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 6*w - 8. Let y be p(8). Let j be (4\/y)\/(1\/14). What is the third derivative of -7*z + 6*z**4 + 3*z**2 + j*z wrt z?\nAnswer: 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2. Let s be x(-1). Let b be 2\/10 + s\/(-10). Suppose b = -4*v - 12, 4*n = v + 71. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107324 times -0.2?\nAnswer: -21464.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -233884078*h - 27850936 with respect to h.\nAnswer: -233884078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -7*c + 4. Calculate the remainder when c is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3299a1 (base 16) to base 10.\nAnswer: -3316129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 394634 a multiple of 746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y - 1 + 1 = 0. Suppose 3*l - 320 = 2*w, y = 12*l - 9*l - 4*w - 310. What is the lowest common multiple of l and 66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*x + 19, 2*p - 2*x = x - 11. Let n(u) = -2*u**2 - 3. Let s(g) = 1. Let b(f) = -2. Let r(w) = 6*b(w) + 13*s(w). What is p*r(t) + n(t)?\nAnswer: -2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -44*x + 1282. Is 79 a factor of s(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l*l**(2\/17))\/(l\/l**(-2)))\/((l\/l**(-5)*l)\/l)**(24\/5))**16 assuming l is positive.\nAnswer: l**(-39008\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (59 - (59 - -68))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 41*z + 38*z + 4 = 0, u - 2*z - 2 = 0. Let y(k) be the first derivative of 1\/6*k**4 + 2 + 3*k**u + 0*k + 4\/3*k**3. Factor y(w).\nAnswer: 2*w*(w + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 29 and 22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 = 289*v - 3012 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 13*c - 5. Let h(u) = -3*u**2 + 19*u + 7. Let n be (-4)\/(-1)*(-7)\/(-4)*1. Determine n*d(v) + 5*h(v).\nAnswer: -v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*m - 2*m. Suppose 3*c + 246 = 4*j + c, m*c - 20 = 0. What is the common denominator of ((-8)\/12)\/(j\/(-138)) and -77\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 9:13 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 6*a**2 + 7*a. Suppose 0 = t - 4 + 11. Let w(z) = -z**3 + 7*z**2 - 7*z. Let f(u) = t*p(u) - 6*w(u). Find the second derivative of f(h) wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 3. Suppose 4*d + 4*a + 311 = 9*d, -b = a. Suppose 5*q = d - 9. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -68437.59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbwaqqaqqwb. Give prob of sequence bw.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 38661\/3682*204\/(-63)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70974057?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -93585*k + 160. Is j(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -18*k + 440. Let g be b(24). Solve 7*t - 9*t = -g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*n = 153*n + 399 + 2391. Sort 1, 2, -4, n in decreasing order.\nAnswer: n, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3861 + -1909. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 p when three letters picked without replacement from {n: 3, x: 2, r: 3, p: 8, l: 3}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -458915.315 rounded to the nearest 100?\nAnswer: -458900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4193\/10, -4, -1178, 2\/7.\nAnswer: -1178, -4193\/10, -4, -3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 - 6*z**2 + 13 + (3 - z - 3 + (3 + 1 - 2)*(-4*z + z + 4*z) - 2*z + 3 - 3)*(-1 - 1 + 3)*(59 - 59 - 12*z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -442, -886, -1340, -1810, -2302?\nAnswer: -2822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 19*b**2 - 22*b + 49. What is m(20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**6)**(5\/12)*u**(3\/4)\/(u**(-10\/7)\/u))**(1\/2) assuming u is positive.\nAnswer: u**(159\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -50. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**5\/10 - c**4\/2 - c**3 + c**2 - 3*c. Let g(d) = 140*d - 75*d - 64*d + d**2. Determine 6*g(s) + m(s).\nAnswer: 2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25973 divided by -1\nAnswer: 25973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p - 105. Let d be w(17). Let k be (-2 - 1)*(-196)\/6. Calculate the greatest common divisor of k and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23912288*i - 20152317?\nAnswer: -23912288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -52.7, 1\/5, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 29 + 0 + 28130\/(-986). Factor -b*g**3 - 32\/17*g**2 + 0*g + 6\/17*g**5 + 16\/17*g**4 + 0.\nAnswer: 2*g**2*(g + 2)**2*(3*g - 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24989 is divided by 4162?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3306 divided by -1653.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j + 20 + 5*j + 2*j - 3*j. What are the prime factors of p(10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 51, -7.8, -2\/3, 0, -1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 0, 6, -5, 22, 4 in ascending order.\nAnswer: -5, 0, 4, 6, 22, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s - 7. Let m be (6\/(-4))\/(2\/(-8)). Let t(f) = f**2 + 4*f + 72. Let o be t(10). Let d(q) = 2*q - 220 + o - 6*q. Calculate m*g(z) - 5*d(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*q - 32*q - 258 = 2513 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*q = -74*q - 72*q - 8, 11*g + 410 + 168 = 4*q for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1739*h**3 - 2366*h**3 - 2 + 4059*h**3.\nAnswer: -46*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 7, n: 1, t: 6, f: 2}. What is prob of picking 1 g and 1 t?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*k + 42, 2*k - 12*o = -16*o - 24. Let l(m) = -m**2 + 36. What is l(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 29641 = z - 16695, 4*u - 37052 = -5*z. What are the prime factors of u?\nAnswer: 2, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and -3*(2 + 8\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-6)\/d)*d)\/d**6)**(-42) assuming d is positive.\nAnswer: d**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-665)*874\/(-69))\/(((-372)\/(-14))\/(-1))?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 414396227965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l - 7. Let i be g(5). Calculate the common denominator of 3 + 150\/(-44) + i and -63\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -9*v**2 + 4*v - 1166. Give t(3).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1372183 (base 14) to base 9\nAnswer: 18643612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 + 5.1. Let w = 2.7 - 2.3. What is the closest to 1 in w, 2, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b - 4. Calculate the lowest common multiple of q(4) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-3)\/((-12)\/(-8)). Solve 4*c + 10 = f*g + 32, -c + 23 = -4*g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 6*d**2 - 5*d - 6. Suppose -81 = 3*g + p - 7*p - 501, 0 = -2*p. Calculate the remainder when g is divided by x(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**3\/8 - 17*s**2\/4 - 71*s\/8 - 9\/2 = 0.\nAnswer: -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3870*r. Suppose -216*g - 532 - 428 = -96. Let q(i) = 49*i. Calculate g*s(y) - 315*q(y).\nAnswer: 45*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47715 + 65962 = 257*r for r.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-15)\/3)\/(((-374)\/(-22))\/(-17))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, y: 1, b: 1}. What is prob of sequence xbyx?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b + 289 - 64 = 0 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.09269582*11\nAnswer: 1.01965402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 24. Let g be 22 + y + -2*2. Let p = 41 - g. Calculate the remainder when 52 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(28\/24)\/(-7)*2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/1006835 and 2\/187715.\nAnswer: 11075185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*j - 482 - 3046 = 0 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*y - 16 = 0, 488*d - 489*d - y - 8 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/(-15) + 334\/(-501).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w**4\/2 + 23*w**3\/2 + 57*w**2\/2 - 207*w\/2 + 27 = 0. Calculate w.\nAnswer: -3, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3367948 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -3. Let m = 354.0555 - 0.0555. Let i = m + -359. What is the nearest to 0.01 in -1, i, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 27. Let q = 4.02 + -0.02. Let v(x) = -x + 6. Let w be v(6). What is the biggest value in z, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.53461 hours in minutes?\nAnswer: 1832.0766","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**3*j\/j**0)**(-4\/5) assuming j is positive.\nAnswer: j**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*r + 23 = -3*g, -1656*g + 3*r - 41 = -1645*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3*(1 - 0). Let l be 240\/39 - 6 - 3\/104. Sort -1\/2, a, l in increasing order.\nAnswer: -1\/2, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -375017 - 0.1888.\nAnswer: -375017.1888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*d + 181, -2*p + 2*d - 58 = -0*p. Let q(a) = a**3 + 39*a**2 - 27*a + 26. Is q(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 393754729 rounded to the nearest 1000000?\nAnswer: 394000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-42))\/((-1)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3002144111 (base 5) to base 6\nAnswer: 330215525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745207858.\nAnswer: 2, 872603929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + d = m - 7, 2*m - 6 = 2*d. Let p be 51\/84 - 1\/4. Let n = p + 8\/7. What is the biggest value in n, m, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b - 16. Let g(f) = -978*f**2 + 292. Determine w(g(a)).\nAnswer: 2934*a**2 - 892","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 9*d = 36. Suppose d = 2*n + 2*n. Calculate the remainder when n - (-13)\/(5 + -4) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1383, 2759, 4135, 5511, 6887, 8263?\nAnswer: 9639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**1*a*a*a**(5\/6)\/a assuming a is positive.\nAnswer: a**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 0*v + 4 - 4*v + (-11*v + 20*v + 1 - 6*v)*(1 - 2 - 2) + v - 3*v + 3*v.\nAnswer: -12*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6065*g**2 - 920*g**2 + 2009*g**2 - 4306*g**2.\nAnswer: -9282*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-14) + (-143)\/(-154)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - -173. What are the prime factors of t?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w + 40. Let k(n) = -2*n + 20. Let o(m) = 13*k(m) - 6*x(m). Differentiate o(b) with respect to b.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7721, -17625, -27531, -37439, -47349, -57261, -67175?\nAnswer: -77091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 67868.1532 to 0 decimal places.\nAnswer: 67868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 5 + m - 4*m. Let y be q(5). Suppose y = 5*o - 25. Solve o*d + 5*k + 21 = 1, k = -5*d - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 1. Let b(y) = -190*y**3 - 2. Determine 2*a(c) + b(c).\nAnswer: -190*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 3\/2*d**2 - 111\/5*d**5 + 0*d**3 + 0 + 1\/12*d**4 - d. Let o be a(-3). What is o rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*q**3 - 54*q**3 + 12*q**3 - 18*q**3 - 2*q**2 + 4*q.\nAnswer: -86*q**3 - 2*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -160493500 to the nearest one million.\nAnswer: -160000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280944.\nAnswer: 2, 3, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -26*n**3 + n**2 + 2*n + 4. Suppose 2*r - 20 = -0*r + 4*w, 2*w + 14 = 2*r. Let d be u(r). Is 9\/6*d\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -239.2, 64, -0.19?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m - 16*m - 8*m - 2 - 1.\nAnswer: -17*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35525.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 7*m**2 + 8*m + 2. Let i be a(8). Suppose -5 = i*y + 3. Let r(k) = k**3 + 3*k**2 - 6*k - 6. Determine r(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/21 and 4 + 76\/60 - 2.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 2 - 8 + 1786*x - 14 in the form r*x + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - y + 3. Let x be b(0). Solve p + x = h + 6, 5*p - h + 5 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118564 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-51)\/(-15) + (-6)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-7)\/(-2) - 3). Suppose 5*z = f*g + 50, 3 + 39 = 4*z - 2*g. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -145 and -44068.7.\nAnswer: 6389961.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*(5 + sqrt(432)*-1 - (-2 + sqrt(432)*1)) + -4))**2.\nAnswer: -15552*sqrt(3) + 65124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 11 - 36, -5*n - 5*z = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/87 (b) 29 (c) -238\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -2\/11, -5, 5 in descending order.\nAnswer: 5, 0.01, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + -633. Let w = -607 - a. Solve -12*n + 4*n - w = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 5*g - 4. Let y be a(3). Let p(d) = 2 + 0*d + 3*d - 2*d. Give p(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(209)*1 + sqrt(209))\/sqrt(11).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqrqirqrrrrqq. What is prob of picking 2 q and 1 r?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*11\/(660\/(-48))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 82?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 11 = -4*d. Let v = -9 + d. Factor -3*c - 4*c**3 + 3*c**2 + 2*c**v + c**2 + c**3.\nAnswer: -3*c*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173453 is divided by 843?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1893937520?\nAnswer: 2, 5, 709, 33391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+1007715754.51\nAnswer: 1007715754.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2 = 17. Let j(b) = -106*b - 2. Let i be j(-1). Suppose -152 = -o*c + 5*f + 18, -3*c + f + i = 0. What is the highest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -10, -32, -1.2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.65013 meters in centimeters?\nAnswer: 8265.013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.6 in -0.4, 141, 95, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 172*q**3\/3 + 4586*q**2\/5 - 4884*q\/5 + 34\/15 = 0.\nAnswer: -17, 1\/430, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**5\/35 + n**4\/28 - 2. Factor t(q).\nAnswer: -q**3*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17291 + -202639.035\nAnswer: -185348.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 69 = -5*j, 31 - 32 = 36*j - 2*r - 3*r + 114 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-10))\/(((-21)\/(-27))\/(5586\/1197))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 5*s - 50. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25716258293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15*1)\/(320\/7488). What is the highest common divisor of 1950 and j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 6*q - 5. Let z be p(-7). Suppose -116 + 370 = z*o. Let g = 37 + o. Round g to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 279.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -24, -2*a - 24*f + 28*f = -206870. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (378\/30)\/((-3)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 11*w**2 - 26*w - 1. Let d be x(-13). Let g(y) = -y**2 + 2*y**2 - y + 0*y**2 + 3*y**2. Give g(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (45\/10)\/(-7 + (-62)\/(-8)). Solve 0 = -u*t + 1 + 29 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-72)\/(-54) - 8\/(-3). Let z be (-18)\/(-3) + (1 - 3). Let p be (-39)\/(-9) - z\/(-6). Solve 0*a - 15 = p*a, -5*j + t*a = -2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 7\/2 (b) 0.3 (c) 15 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112704 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 100\/3881, -0.03, 0.06 in decreasing order.\nAnswer: 0.06, 100\/3881, -0.03, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -8. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 12) to base 3.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-18))\/(2\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/1216*252*(-69)\/(-621)?\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 265 (b) 0.5 (c) -0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 271*v**2 + 1597*v - 49. Calculate r(-6).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - w. Let l(v) = 2*v**4 + 4*v**3 - 5*v**2 - v. Let r(j) = -6*b(j) - 2*l(j). Determine i so that r(i) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1306, 1243, 1132, 967, 742, 451, 88, -353?\n\"Answer: -u**3 - 18*u**2 - 2*u + 1327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/7)\/d)**39)**(-17)*(d**(-1\/3)\/d*d)**(3\/7)*d\/(d**(-3)*d*d)*d\/(d**(-5)*d) assuming d is positive.\nAnswer: d**(6015\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33358 + -18111. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffj when three letters picked without replacement from {j: 3, f: 9, n: 7}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 19\/22, 0.3?\nAnswer: 19\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9)\/22*1*(-64)\/(-6) and -61\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.32 or -133?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 7 + -1 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303572 = 11*m - 261894. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 24, 46 in decreasing order.\nAnswer: 46, 24, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/7 + -3 - 3\/(-7). Let v = 8 - -7. Solve -3*u + c*u = v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/7 and (-5)\/(-3) - (-5684)\/(-3330).\nAnswer: 11655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 129 = -3*v, -c - c = -v + 48. Let r be (-28)\/v*3\/4. What is the second smallest value in 4, r, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10421 = 1494*a - 14408 - 2063 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 a factor of 473884751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - t + 58. Let a(r) = r**2 - r. Suppose 4*d - 5*b = 20, -2*d - 5*b + 0 = -10. Calculate the remainder when l(0) is divided by a(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*t + 279 = 0, -2*t = 4*c + t - 407. Let g = c + -81. What is the second derivative of g*q + q - 2*q**5 + 2*q**5 - 8*q**5 wrt q?\nAnswer: -160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**5 - 106*q**4 + 84*q**2 + 7?\nAnswer: -60*q**2 - 2544*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4272120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 21 - -10) + (9 - (-5 - -10))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/7*(-21105)\/(-804)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**6\/15 - 66*g**5\/25 + 59*g**4\/10 + 62*g**3\/5 - 7031. Determine x, given that r(x) = 0.\nAnswer: -1, 0, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58200383 by -2.\nAnswer: 58200383\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**3\/2 - 11*t**2\/2 - 2*t. Let k be (-1)\/8 - (-520)\/64. Let i be d(k). Solve 5*c + i + 12 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.37 + -0.37. Which is the closest to -2? (a) 5 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - 0. Let c be -5*5\/((-75)\/p). Let s(u) = -4*u**2 - 3*u. Give s(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -7100, -1, 4.\nAnswer: -7100, -1, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 301022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1606 and 704.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10}. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97\/2 - -1257\/26. Suppose 5*w + 7 = -4*v, -4*w + 0*v = -2*v - 10. Suppose w = -j - 4. Which is the closest to -2\/3? (a) j (b) -2\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**8\/6720 - u**7\/1260 + u**6\/360 + u**5\/40 + u**4\/6 - 28*u. Let t(j) be the third derivative of v(j). What is t(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + n + 5 - 3 = 0, j + 5*n = -22. Solve -4 - 5 = j*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*l**2 + 23 - 9 - 17 - 2*l in the form x*l**2 + y*l + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*n + 11*n + 4. Suppose -n*h = 4*g - 736, 5*h - 947 = 2*g + 2*g. Let l = 26 - 9. Calculate the greatest common divisor of l and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 637644 + 1742356. What is c rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/64 and -71\/22212608.\nAnswer: 22212608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1196062, -2392154, -3588274, -4784422?\nAnswer: -5980598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -11*y**2 + 20*y - 3. Let i(l) = 5*l**2 - 10*l + 2. Let w(j) = -4*h(j) - 9*i(j). Let g be w(9). What is the units digit of g\/3*1 - -16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15235 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -10 - (-3 - (-14 - (-4 + 90 - 14)))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (13\/(-39))\/((-3)\/(-785898)*-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -57. Let w = -0.4 + 0.3. What is the biggest value in l, w, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-3 + -1 + -2 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 34. Let b(n) = n - 1. Let c(r) = 3*r**3 - 5*r + 7. Give i*c(u) + 6*b(u).\nAnswer: 3*u**3 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 22\/13 (b) -0.4 (c) 11.8 (d) 0 (e) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19626642 and 216?\nAnswer: 235519704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23233986 and 12907770?\nAnswer: 116169930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1179 + c30?\nAnswer: 1da9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*d + 12, 0*d + 3*d = -m + 6. Suppose -2*v + 39 = 3*w, -2*v - 26 = -2*w - 0*v. Suppose 3*r + w = -z, r + m = -3*z + z. Is z > 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**4 - 8 + 863765*c + 0*c**4 - 863759*c - 3*c**3 in the form d*c**4 + x*c**3 + w + b*c**2 + i*c and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5082, -5086, -5088, -5088, -5086?\n\"Answer: d**2 - 7*d - 5076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g**2 - 3*g - 8. Let x(f) = 6*f**2 - 3*f - 7. Calculate -5*d(j) + 6*x(j).\nAnswer: j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-3)\/(-90) + 1\/(-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(30) - sqrt(210)\/sqrt(7)) - sqrt(30) - sqrt(30))\/((sqrt(6) - (sqrt(66)*-2)\/sqrt(11)) + sqrt(6) + sqrt(6)).\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1933084177?\nAnswer: 1933084177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 10. Let t be x(-5). Let c = 7 + -11. What is the third biggest value in -0.3, t, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 590337008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43817349767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*o + 299*o + 3*b - 54 = 0, -3*b = 5*o + 36 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -15. Suppose -w*l - 549506 = -r, 0 = -3*l + 4*l - 2. Let c = r - 1039516. What is c rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 13*a**2 - 12*a. Let y be q(-12). Suppose 5*b - 115 + 100 = y. Calculate the greatest common factor of 6 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2252, 17985, 60706, 143909, 281088, 485737?\n\"Answer: 2249*n**3 - 10*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 97616 and 51.\nAnswer: 4978416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 7*p. What is the closest to p in -3, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1061 (b) 113 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*(7175\/(-245) - -29).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2 (c) 1 (d) -3\/5 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**3 + 225 - 4*i**3 + 12*i + 6*i**2 - i**3 - 255. Let q be s(7). Solve -n + x = q - 2, -21 = 3*n + 3*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/40 + 2\/5. Suppose 0 = 3*s - 2*f - 14, 4*s - 5*f + n*f = 21. Sort -5, -2, s.\nAnswer: -5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 18*f**2 + 13*f + 54. Is z(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119699 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40250, -39362, -38474?\n\"Answer: 888*l - 41138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20377 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Is 4*d*111\/36 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4*p + 21 = 0, 7*p + 2 = 2*b + 10*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/4, 14629, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -222, -446, -670, -894, -1118, -1342?\n\"Answer: -224*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1134140.\nAnswer: 2, 5, 7, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, j: 1, e: 4}. What is prob of picking 1 s and 3 e?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**2 + 147*s + 190. Is q(39) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -444*n**2*x**2 + 13*n**2*x + 30378*n*x**2 + 341173*n*x wrt x.\nAnswer: -888*n**2 + 60756*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 55*c + 140. Give g(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in 0, -5, 1, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/164*(-48)\/((-5760)\/120)?\nAnswer: -1\/164","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 - 3. Let k(u) be the third derivative of u**5\/60 + 79*u**2. Determine k(b(i)).\nAnswer: 9*i**4 - 18*i**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 3 = 0, 2*a + 3*h = h - 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13574157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27840065.\nAnswer: 5, 11, 506183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21270216 and 16272.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.58 rounded to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5 + h + 15 + 7. Let r = 98 + -98. What is the units digit of i(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4104022 (base 5) to base 6\nAnswer: 1230105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*h + 9. Suppose c - h*c = 4. Is 6*((-4)\/3)\/c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2923\/3 - 5747\/6. What is the common denominator of 47\/278 and a?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1868736*g**5 + g**3 + 45172*g**2 - 48*g - 2 wrt g?\nAnswer: -112124160*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*(-308)\/44\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -560*f**3 + 5*f**2 + 5*f + 2. What are the prime factors of k(-1)?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Let f = -9 - -5. Let r = 1539.4 - 1539. What is the third smallest value in b, r, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -1 + -2)\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**2)**(-37))**37 assuming a is positive.\nAnswer: a**1369","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13054 - 0.125782. Round j to 4 dps.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(1\/2))\/y)\/y)\/y)**(-25)\/(y**(-2\/7)*y*y**8) assuming y is positive.\nAnswer: y**(403\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 3*d + 3. Let n be q(-1). Let f be n\/(1\/(-8 - -4)). Are f and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (-74159928)\/(-8) - 5. Round m to the nearest 100000.\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -48. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -203*u**3 - 176*u**3 + 87*u**3 - 14*u**3 - u**3 + 0*u**2 + 0*u**2 + (u + 2 - 2)*(-1 + 1 - u**2).\nAnswer: -308*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13471*f**2 + 0 - 26936*f**2 + 13466*f**2 + 0.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416 - 722 = 15*l - 523 for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05775860306 take away 38.53?\nAnswer: -38.58775860306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 6) in base 2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144058160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/8)\/h**(21\/4) assuming h is positive.\nAnswer: h**(-45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b\/(b\/b**(2\/11)))))\/b*(b\/b**(-4))\/b*b)\/(b\/(b\/b**(-1)))**26 assuming b is positive.\nAnswer: b**(343\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-41)\/(-328))\/((-36)\/(-768)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -147*m**3 - 648*m**2.\nAnswer: -882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6391521.\nAnswer: 3, 236723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1546\/13 + -119. What is the smallest value in 0, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3814901998 to the power of 1\/2, to the nearest integer?\nAnswer: 61765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 14*g - 4. Let j be h(-10). Let b(d) = -30 + d + 70 - j. Let t be b(-2). Solve -3*c + t = -7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g - 9 + 9)*(-7*g**2 + 7*g**2 + 12*g**2) - 3*g**2 + 2*g**3 + 2*g**2 - g**3 to s + b*g**2 + d*g**3 + l*g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((0 - 0) + 2)*-2. Let j be (-1)\/(2\/z) + -2. Is j <= 2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -2346.04.\nAnswer: 9384.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/12 + 2*q**2\/3 + 3*q\/4 - 3\/2 = 0. Calculate q.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:30 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 6, 0.1, 2\/141?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 2 - 2)*(-i + 3*i - 4*i) + 0 + i + 0)*(8*i - 6*i + 6*i) in the form v*i**2 + a + o*i and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -15 - 5, -w = -3*y - 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.8 + 3. Let f = -84.96 - -84. Let h = f + 0.46. Which is smaller: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 321937*c**3*f - 3*c*f - 173722*c wrt c.\nAnswer: 1931622*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uupuupuuuuuupuupuuuu. Give prob of sequence pu.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -191 - -194. Solve -4*u + 3*a = -s, -2*u + 5*a = -10 - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31715240?\nAnswer: 2, 5, 792881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3830, 7362, 10896, 14432, 17970, 21510, 25052?\n\"Answer: f**2 + 3529*f + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7299625652?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 11*r**2 + r. Is f(-8) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9083806 + 8?\nAnswer: -9083798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 + -0.05.\nAnswer: 163.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3865.16326 to 0 dps.\nAnswer: 3865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 11*l - 4. What is the units digit of i(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145127?\nAnswer: 3, 419, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -105248, -105250, -105252, -105254, -105256?\n\"Answer: -2*q - 105246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.1 (b) 5 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 2:03 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -3 + (13 - (-8 - (-3 + -11)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1395072 divided by -99648\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 60 = i. Suppose 93*a - 117 = 106*a. Calculate the remainder when i is divided by 6*(-8)\/(-36) - 60\/a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2201*t + 122*t + 728*t - 155*t - 1804*t - 1989*t)*(6 + 9 - 5) as q + o*t and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, -164, -170, -178, -188, -200, -214?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 4:42 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27155\/18 - -1505. Let q be (-1)\/(-2) - 158\/(-4). Find the common denominator of l and 18\/q + -4 + 2.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 11:40 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32048149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23022?\nAnswer: 2, 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47993\/17 - -7308383\/2584. Let m be ((-16)\/38)\/1 - 1. Let x = n - m. What is the common denominator of 20\/11 and x?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -f - 15. Suppose 2*d = 3*d - f*t - 171, 809 = 5*d - 2*t. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 4.6. Let t = i - 1.4. Which is greater: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 9*n. Let j be o(7). Let l be (-96)\/(-21) + 6\/j. Find the second derivative of -l*x**4 - 6*x - 2*x**4 + x wrt x.\nAnswer: -84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102.93 - -103. Let l = -3.26022 - -3.33. Let b = j - l. Round b to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.127 - 0.127. Let l be (52\/22)\/(-2) + 1. Which is the nearest to s? (a) 0.5 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m - 107. Give t(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1596688?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**3 + 1090275*o**2 + 4361040*o + 4361020 = 0.\nAnswer: -218051, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/15 + 168\/(-60) - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*d**3 + 1 - 2*d - 36*d**4 - 8*d**3 - d**2 + 35*d**4 to j + q*d**2 + g*d**3 + t*d + v*d**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*v + 31 = 0, 52 = 41*q - 37*q - 4*v. Let y be (-2*(-1)\/5)\/(14\/q). Which is the nearest to -2\/69? (a) 3\/4 (b) 2\/11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((116\/3770)\/(4\/150))\/(-3)\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 - 1.3. Let o = 911 - 910.5. Which is the closest to -2\/5? (a) d (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2 - 2575*s - 45450. Give b(-18).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z. Let a(l) = l**2 + l - 340. Give c(a(x)).\nAnswer: -6*x**2 - 6*x + 2040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2092 - -2092. Solve v + 12 = -4*k, 3*k - 5*v + 45 - 13 = b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 3:02 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 270308207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27435 bigger than 27422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-15) - (-1074)\/10. Suppose 10 = -5*w, -c + u = 5*w - w. Let a(g) = 2*g**2 + 2*g + 5. Calculate the remainder when c is divided by a(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.02 + -0.02. Which is the second biggest value? (a) i (b) 1\/4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62377628*w**2*z**3 - w**2*z**2 + 1481*w**2*z + 103*w*z**2 - w*z wrt z.\nAnswer: 374265768*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 19*k**2 - 77*k - 81. Let a be m(8). Solve -3*x - 10 = -2*q, 4*q + 12*x + 24 = a*x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a = 20*a - 35*a - 768. What is the remainder when a is divided by 95?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(-2\/45))**22\/(o*o*o\/((o**(-2\/29)*o)\/o)*o*o\/(o\/(o\/((o\/o**6)\/o*o*o)*o)))**(-3\/4) assuming o is positive.\nAnswer: o**(11131\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/(-3)*(-162)\/1296.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**4\/4 + i**3 + i**2 - i - 3. Let h be t(-2). Let x be (6\/(-18))\/(0 + 1). Which is the nearest to 0? (a) h (b) -5\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131725861*a**2 + 125075345 wrt a.\nAnswer: 263451722*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -217161.33699114 + -0.2\nAnswer: -217161.53699114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15347, 61420, 138217, 245738?\nAnswer: 383983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 + -120. Suppose -2*a = -4*j + 8*j + 6, -9 = b*a + 5*j. Factor 1\/2*l**4 + 0 - 1\/2*l**2 + 1\/2*l**5 - 1\/2*l**a + 0*l.\nAnswer: l**2*(l - 1)*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120871000 rounded to the nearest 100000?\nAnswer: -120900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -264\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (sqrt(88) - -1*(sqrt(88)*4 + sqrt(88))) - sqrt(88) - sqrt(88)*-4*3)\/(6*(sqrt(200)*-4 + sqrt(200))*1).\nAnswer: -sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1605 by 15.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 182 - 99. Let n = -218 + q. Let r = 119 + n. Sort 2, r, -3, 1\/6 in descending order.\nAnswer: 2, 1\/6, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {v: 2, f: 8, b: 2, s: 3}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5146 + 3.\nAnswer: 5149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + -7 - (-1 - 0). Which is bigger: -2\/55 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-49)*-31*(-29)\/2697.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 32. Suppose 8 = w + f. Let d be (0 - (-5 + w))*(64 + 2). What is the greatest common factor of 33 and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 0*k**2 + 3 + 0*k - 2\/3*k**3. Let q(t) = 2*t**2. What is q(z(h))?\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.0274*7721\nAnswer: -211.5554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (313\/(-4) - 0)*19. Let l = p - -1479. Calculate the common denominator of (-3 - 245\/(-80))\/(1\/13) and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 48*d + 62. Let a(r) = 2*r**2 + 106*r - 123. Let l(s) = 5*a(s) + 11*b(s). Determine l(0).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d + 283*d**2 - 274*d**2 - 2*d + 4*d - 4 to the form y + n*d**2 + w*d and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8636*h - 120902. What is t(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*k - 1. Let c be 0 - (k\/(-2))\/7. What is the second biggest value in -4\/7, c, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0 - 3. Let m = 3 - g. What is the third derivative of 9*s**2 + 72*s**6 - 2*s**m - 65*s**6 wrt s?\nAnswer: 840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1242 divided by -23\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 338 - 337.6. Let g = 8 - 13. Put 8, x, 0.2, g in increasing order.\nAnswer: g, 0.2, x, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p = 162 - 1554. Let v(b) = 3*b - 31 + 2*b - 7*b + 22*b. What is the remainder when v(11) is divided by p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/36*6*22*(-9 - -12)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u - 3. Suppose 0 = -4*f + 3*f - 4. Let c be j(f). Suppose c*r - 2*r - 48 = z, 0 = r - 2*z - 11. Calculate the highest common divisor of 17 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*3\/(57\/2846) - (-6)\/(-57)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 7*c - 2. Suppose -22 = 3*t + 2*a, 3*a + 7 = -3*t + 4*a. Let l be 2\/2 - (3 + t). Suppose -l*g = -2*w + 8, 0 = -5*g - 3 + 13. Give v(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223555 (base 12) to base 3.\nAnswer: 1000200202002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 691 + -606. Let x = 85.176 - a. Sort -1, 3, x in increasing order.\nAnswer: -1, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 24 - -22 - (-13 - (-1 + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/33)\/((-1)\/3)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 252726826181 minus 0.072?\nAnswer: 252726826180.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 9)*((0 + 1 + 1)*(3 - 2 - 3) + 0 + 0 + 1)*(344*h**4 - 146*h**4 - 144*h**4).\nAnswer: -1782*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(44)*2)\/(sqrt(144) - 4*sqrt(144)).\nAnswer: -2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 20444*c - 40999*c - 2 + 4 + 20531*c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0434 and 26966733.\nAnswer: 26966733.0434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 1:33 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (210*s - 44*s + 687*s)*(s - 45 + 45) to u + b*s**2 + t*s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -156, -635, -1434, -2553, -3992, -5751, -7830?\n\"Answer: -160*y**2 + y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3630100474?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*m = -53, 7*g = 2*g + m - 189. Suppose 0 = 85*q - 89*q + 256. Let u = g + q. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.9. Let c(r) = r + 16. Let k be c(-13). What is the biggest value in k, -3, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arrxewfxarre. What is prob of sequence rf?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j**2 + 1150 + 1154 - 2302.\nAnswer: -11*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -28.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 667323046 a multiple of 481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 740658?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -16*b - 30, 15135*b - 15131*b = -5*v + 234 for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -162.9 - -163.9. Suppose 0 = -2*q - 2*q, q - 5 = -w. What is the second biggest value in w, -1, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(4\/3)*(d*d*d**(2\/9))\/d*d)**(-25\/2) assuming d is positive.\nAnswer: d**(-425\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1856*n - 30*n**2 - 1856*n)*(6*n + 4*n - 4*n)*(4*n + 3 - 3).\nAnswer: -720*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418106 is divided by 385?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (17\/(-2))\/((-147)\/882). Let v = 148 - 63. What is the greatest common divisor of a and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/207972 and 29\/84270.\nAnswer: 55112580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70) + (sqrt(70) + sqrt(70)*1 + sqrt(70))*5)\/((4*sqrt(110))\/sqrt(11))*-6)**2.\nAnswer: 18207\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -63961, -63948, -63919, -63868, -63789?\n\"Answer: o**3 + 2*o**2 - 63964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 543432 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 1. Find the common denominator of 134*(110\/(-56) - -2) and (-33)\/16*(j + 4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-47)\/(-9) + (-4)\/18. Let a(v) = 3 + 4*v + 4 + v**2 + v**2 - f. Calculate the remainder when a(-3) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11 + 3299*l**4 + 14 + 127*l**4 - 25 - 3152*l wrt l?\nAnswer: 41112*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-48)*12\/3*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1226*z + 1412*z + 3262*z.\nAnswer: 3448*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -s + 5*m, 5*m - 7 = -2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t + 11. Suppose 4*b = 38 - 50. Let c(z) = 7*z - 10. Let w(d) = b*c(d) - 2*g(d). Find the first derivative of w(o) wrt o.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35329961.\nAnswer: 17, 43, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 117\/23 - (-8 + 12). Which is the biggest value? (a) -0.3 (b) t (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(80) + -1 - sqrt(80)) + -4 - (-1 + sqrt(80) + sqrt(80) + (sqrt(80) - (sqrt(80) + -1))))*1)**2 + -3)*-1.\nAnswer: -8622 - 2000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 352*z - 317*z - 350 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-96))\/((-1)\/27).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126312 divided by 3.\nAnswer: -42104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 93 = 87. What is the remainder when v is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 = -0*v. Let m be (11 + 24 + -36)\/(-1 - (-1 - -1)). Solve -v*u - m = -3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -658015 + -381985. Round i to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/33 and 4\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.84 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 5*i - 1. Let j be 6\/5*(-20)\/6. Let o be y(j). Let d = 0.6 + -3.6. Which is the biggest value? (a) -1\/4 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 25*h - 51. Give q(29).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 31 - ((-417 - -62 - -364) + (-1 - (0 + 22)))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 4*o - 10, 0 = -433*k + 431*k + 2*o - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*d = -896 + 544 - 968 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**5\/60 + z**4\/12 - z**3\/6 + 3*z**2 - 11*z. Let s(h) = 2*h**2 + 22*h - 28. Let i(d) = 4*p(d) - s(d). Factor i(y).\nAnswer: 2*(y - 4)*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*n + 57 = -4*a, 160 = 4*a + n. Let g = -18 + 138. What is the remainder when g is divided by a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyu when three letters picked without replacement from ykdru.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**5\/12 + 2*j**3\/3 + 3*j**2 - 4*j. Let o(t) = 4*t**2 + 3. Let u(z) = -5*d(z) + 6*o(z). What is u(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3771 - 4aee?\nAnswer: -137d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407*d = -415*d + 136. What is the remainder when 469 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 9. Calculate the lowest common multiple of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 17*l**2 - 48*l + 22. Let o be r(3). Let u(t) = t**2 + 2. Let b be u(0). Suppose -b*i - 2*i + 24 = f, 0 = -2*f. Solve -g + o = i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 48 (b) -12\/5507 (c) 5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a millennium in decades?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (83*p**2 + 124*p**2 - 149*p**2)*(2 + 1 - 7)*(-1 + 1 + 3)*(0 - p - 1 + 0)*(3 - 4 + 4) to y*p**2 + z*p**3 + q + a*p and give z.\nAnswer: 2088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 7 - 1667*f + 1674*f - 17.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94109203?\nAnswer: 94109203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 160165118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.3 minus -105674909?\nAnswer: 105675003.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 7*z**3 - z**2 - 4*z - 72. Let l be c(-2). Calculate the greatest common divisor of 210 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 128.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.4, 0.3, 0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 67431534 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*d**2*j*u - 1099*a*j + 6*d**2*u - 2*j*u - 123*u wrt a?\nAnswer: 2*d**2*j*u - 1099*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 100120 (base 3) to base 13\nAnswer: 16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 0.4. Let o = -0.9 + p. Let v be (-3)\/(-12)*2\/1. Which is the closest to o? (a) v (b) 0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -96, 2\/17, -72, 3\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.872 - -0.77. Let c = 0.1020077 + f. Round c to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-29)\/(t*t**(-30))*t**(6\/13)*t**29\/t assuming t is positive.\nAnswer: t**(370\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -1, 5, 4, -3, -9.\nAnswer: -9, -3, -1, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -517025849395221 minus 1?\nAnswer: -517025849395222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.4, 0.2, -6.5, -3, 94 in ascending order.\nAnswer: -6.5, -3, -0.4, 0.2, 1\/2, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - n**2 + 2*n - 3. Let c be v(2). What is the third derivative of 9*w**2 - 2*w**c - 5*w**2 + 5*w**5 wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t*t**21))*t**(-6))\/((t\/((t\/(t*(t\/(t\/t**(-9)))\/t*t*t))\/t*t))\/t)**(-31) assuming t is positive.\nAnswer: t**(-231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 4*i - 2*i - 4*i + 4*i + 2*i + (-2*i - 2*i + 2*i)*(-1 - 2 + 0) - 2*i - 19*i - 17*i to the form k + c*i and give c.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 188 = -2*s + 2*q, 0 = 3*s + 2*q - 272. Suppose -5*n - s = -9*n. Suppose 0 = g - 4 - n. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -12 + -41 + 49. Let b be (-4017)\/(-1)*4\/57. Let h = b - 282. What is the closest to 2\/3 in h, 3, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 + 7*r**2 + 4. Let j be m(3). Find the third derivative of j*g**2 - 8*g**4 - 12*g**2 - 3*g**3 + 3*g**3 wrt g.\nAnswer: -192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/21))**(-6\/7)\/((l*l**15\/l*l)\/l**(2\/15)))**(1\/8))**(12\/7) assuming l is positive.\nAnswer: l**(-5801\/1715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5 - 12*x**3 - 1 - 7.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 21*d**5 - 761*d**4\/4 - d**3\/6 - 873*d. What is the third derivative of a(w) wrt w?\nAnswer: 2520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-131690)\/16988010)\/((-1)\/9*(1 + -2)).\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**5\/20 - x**4\/2 - x**3\/6 - x**2\/2 + 2*x. What is the units digit of p(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 713 divide 414997379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**5\/4 + z**4\/6 - 13*z**2. What is the second derivative of t(h) wrt h?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -156*g + 153*g, 5*g = -q - 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 48 = -3*y. Let x(g) = -3*g**2 + 6*g - 3. Let o be x(2). Put o, y, -1 in decreasing order.\nAnswer: y, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261282 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 11:02 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7724*u - 10*u**2 + 7724*u - 3 to the form o*u**2 + p*u + j and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10830*p + 1697978 = 2722*p - 4286*p for p.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 236 + -88. Suppose -535 = -5*o + 4*g, 122 + 80 = 2*o - 4*g. What is the greatest common divisor of o and c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*i + 85*i + 93*i + 91*i - 664*i + 294*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -1832580.\nAnswer: 1\/305430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, -10, -17, -26, -37, -50, -65?\n\"Answer: -u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1445\/(-26877)*(-4)\/10.\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -130, -97, 96, 449, 962?\n\"Answer: 80*m**2 - 207*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/(847\/3444) + 1. Let q = t + 44. What is the nearest to q in 0.3, 3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.432 - -104.432. Sort -4, 0.5, v in decreasing order.\nAnswer: v, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1231420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -218*v**2 + 355741. Let h(w) = -w. Determine h(z(s)).\nAnswer: 218*s**2 - 355741","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 3)*(0 + 1 - 3)*(3*u - 7 + 23 - 13) to p*u + y and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 19\/4 of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -154641 (base 12) in base 10?\nAnswer: -360337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0*m)\/(m\/(m\/(m**2*m))*m))\/((m*m\/(m**(3\/8)\/m*m)*m)\/((m*m\/m**(-1\/7)*m)\/m)) assuming m is positive.\nAnswer: m**(-195\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*3\/132 + 100276\/1694 + -59.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 135*d + 243\/2*d**2 - 4. What is the first derivative of b(g) wrt g?\nAnswer: 243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 13*f**2 - 2*f - 16. Is q(-10) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 - 8*g + 14. What is the smallest common multiple of t(4) and 39?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 10:42 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 0.44.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 6) + -1 + (1 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-116350)\/(-4648) + (9\/(-7) - -1). Let f = t - -2\/581. Calculate the common denominator of f and 95\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000040355192 to seven decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1806 and -192?\nAnswer: 346752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, f: 3, n: 3, v: 7}. Give prob of sequence nz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 6*q + 6. Let i be b(9). Suppose -25*j + i = -22*j. Calculate the remainder when 19 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/15153411 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3086*d + 3060*d + 234 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(0 + (-1 - (-4 - -1))). Let a be (1 + 2)\/(2\/s - 0). Solve -a*r - 2*m = 17, -5*r - m = -13 + 39 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2017.674 months to decades.\nAnswer: 16.81395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3696, 3704, 3726, 3768, 3836, 3936?\nAnswer: 4074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 + -73. Let k be 11\/62 + y\/18. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4265.733 to the nearest one hundred.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2749572 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -160.00000712 - -160. What is z rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 2*g - 30, -4*q - 7 = 4*g - 47 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -420*j**2 - 60482*j\/5 + 17452\/5 = 0.\nAnswer: -4363\/150, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -200201020000222 (base 3) in base 10?\nAnswer: -9944315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344132235.\nAnswer: 3, 5, 97, 78839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 27 - 5*n - 67.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 6259 = 6234, 2*q + y - 29 = 0 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, f: 2, n: 1, g: 1, s: 1, k: 1}. Give prob of picking 1 g and 2 f.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178460 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26235001 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66345459 rounded to 2 decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 33. Let b be f(-12). Calculate the greatest common factor of 45 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 + 38. Let a(r) = r**3 + 23*r**2 - 13*r + 57. What are the prime factors of a(l)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6912740 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + z**2 + z - 1. Let j be r(-1). Put 3, 12, j in ascending order.\nAnswer: j, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6007 + 8766. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 + 22*i + 18. Let l(j) = 8*j**2 + 44*j + 36. Let p(t) = 3*l(t) - 5*x(t). Does 10 divide p(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8 - -7)*-5)\/(33\/(-99)). Let g(l) = l**2 + 14*l - 18. Determine g(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98*v**3 - 209*v**3 + 58*v**3)*(0 + v + 0)*(0*v - 3*v - 4*v).\nAnswer: 371*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2160.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -613*m**4 - 14*m wrt m.\nAnswer: -7356*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06 and 72.764.\nAnswer: 72.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 0 - (-4)\/4. What is the units digit of (-33)\/(-4) - x\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by -1492945?\nAnswer: -21\/298589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2141 (base 6) to base 10.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)*p)**(3\/10)\/((p\/p**(-1\/6))\/(p\/p**(7\/4)*p*p)))**(-4\/33) assuming p is positive.\nAnswer: p**(-1\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 49 (c) -2\/15 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, -38, -1\/31, 1.3 in descending order.\nAnswer: 1.3, -1\/31, -1, -7, -38","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210338806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/16)\/((4500\/48)\/(-15)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 9 = 2*p, -3*p + 11 = f. Suppose -f*h - 1 = -45. Suppose -3*t = 7 - h. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -9*r**3 + 3*r**2 + 4*r + 24. Let p(l) = -20*l**3 + 7*l**2 + 8*l + 54. Calculate 9*j(d) - 4*p(d).\nAnswer: -d**3 - d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60\/29 + 25\/58. Let w(z) be the second derivative of 0 - f*z**2 - 7*z - 1\/6*z**3. Give w(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, -83\/3, 1\/4, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {s: 3, w: 1, h: 1, i: 7, z: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 215321000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11922 + 261050. Suppose -8 = -2*c, -c = -4*d + 2*c + b. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -400, -797, -1190, -1579, -1964?\nAnswer: -2345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 5. Let y be s(0). Suppose -2*v + 5*r + 49 = 0, 9*r = -4*v + 6*r + 7. Solve u + y = v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 31 = -3*h - 2*c, -4*c = 2*h - 18. Let l be h + (-7 - (-6 - -3)). Solve -12 = -l*q + 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.35102mg in micrograms?\nAnswer: 22351.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/524 + -2653\/131. Let i = -818\/11 - -32511\/440. Find the common denominator of p and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 84 = -13*q. Is ((-3327)\/12 + 2)*(q + -10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-1 + -3)) + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*k + 4. Suppose 5*h - 12 = -v, 0 = -2*v + 3*h - 711 + 709. Calculate the lowest common multiple of k and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3662.\nAnswer: 2, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/50 + (-56)\/(-5). Suppose 0 = a - 0 - q. What is the lowest common multiple of (4\/10)\/(1\/20) and a?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 25, 26?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100101 + -10111101110?\nAnswer: -11001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29695 - 12469691.154.\nAnswer: -12499386.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652235 is divided by 253.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*o = -25*o - 874 - 428. Let g be 1\/(2\/(-4)) + 6. Let z be 80\/(g\/2) - -2. What is the highest common divisor of o and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 32*z - 22. Let r(f) = 42*f - 21. Let c(x) = 3*r(x) - 4*s(x). Give c(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1435, 25, 4, -5 in decreasing order.\nAnswer: 1435, 25, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 7*s + 2. Let l be d(6). Let i be l\/(-12)*6\/10. Sort -2, i, -4.\nAnswer: -4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865097083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28190557.\nAnswer: 28190557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 473 and -66 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1974.3 and -20.23.\nAnswer: 39940.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0.4. Let q = y - -0.38. Let s = q - 0.38. What is the nearest to 2\/9 in s, -4, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7400 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Suppose 4*f + 3*t = 3, f = -f - 3*t + c. Suppose f = 3*p - 5*p + 92. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4261 * 1.1295.\nAnswer: 4812.7995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/5)\/(f*f*(f*f*f\/(f*f**(-14)*f)*f)\/f*f*f) assuming f is positive.\nAnswer: f**(-91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 18796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-32) + 1\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97 + 48 + 2*q + 46)*(-6 - 7*q + 6)*(5 + 2 - 4 - 2 - 2 + 2 + (-2 + 1 - 1)*(2 + 1 - 2)).\nAnswer: 14*q**2 - 21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*u = -1024 + 4858 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-212)\/1512 + 4*(-11)\/594?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from wnwnnnwn.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**8\/28 - b**4\/12 - 5*b**2\/2 + 3. Let o(z) be the second derivative of r(z). Find the second derivative of o(d) wrt d.\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j + j - 5*j)*((2 - 3 + 2)*(6 - 3 + 1) - 2 + 1 + 0 - 39 + 21 + 30) + (-1 + 1 + 2)*(3*j - 3*j + j) as f*j + a and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8\/3, -1\/9, -4, -1239, -3.\nAnswer: -1239, -4, -3, -8\/3, -1\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9755)\/10*(-4)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t + 12*t**2 + 36*t**3 - 7 + 14*t - 4*t**2 - 37*t**3. Determine n(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41995.32l?\nAnswer: 41995320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let c(u) = 0 + 0*u + 0 + 4*u**2 + 3*u. Let z(i) be the first derivative of -3*i**3 - 7*i**2\/2 - 1. Let o(j) = 14*c(j) + 6*z(j). Give g(o(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 27. Let s be (w\/6)\/(3\/18). Solve s*k - 1 = -3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -5*b + 87. Let h = -44 + b. Let l = -11 - h. Solve l = -2*m + 5*k - 3, 4*m + 5*k + 9 = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34154 by -85.\nAnswer: -34154\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-2)*15\/(-12). Suppose -x*s + 85 = 3*u, -2*u + 4*u - 74 = s. Calculate the remainder when u is divided by (3 + 9)*(-6)\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/17, 1\/4, 1\/2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 920467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/196310 and 53\/1557750?\nAnswer: 456420750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 1 = 3*a - 6*a, -60*c = -22*c + 5*a - 279 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*d - 4*d, 3*d = 4*x - 6. Let r(m) = m**2 - 4*m - 1. Let z be r(-3). Suppose 4*y = -4*u + 4 + z, x*u = 4*y - 31. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 79167 = -2*r + 7*r, -59418 = -3*k + r. What are the prime factors of k?\nAnswer: 3, 7, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 4*o - 36, 6*i - 8*i + 6 = -o. Solve 0 = h + i*a + 6, -5*a + 3*a = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5706515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4697 and 0.2?\nAnswer: 0.29394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/9)*t*t*t**(4\/19)\/t*t)\/((t*t*t**(14\/3)\/t)\/((t*t**(2\/11))\/t)) assuming t is positive.\nAnswer: t**(-6577\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**3 + 2*z + 3. Let t(r) = 21*r**3 + 11*r + 16. Let p(q) = -2*t(q) + 11*v(q). Let i be p(1). Suppose 6*j = i*j + 33. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000410934723 rounded to 7 dps?\nAnswer: 0.0004109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(11))*2 + sqrt(121)\/(-1*sqrt(11)) + sqrt(11).\nAnswer: 6 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4 + 56. Let h = 17 - i. Solve -h*u - 2 = -12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -4*p - 4*m, 5*p + 19*m = 22*m - 80 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n*(n**(2\/13)*n)\/n)*n)**(2\/7)*n**(1\/19)\/(n*n**(-6\/13)) assuming n is positive.\nAnswer: n**(-422\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**5 - 64740*x**4 + 209563380*x**3 = 0. What is x?\nAnswer: 0, 6474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 + 3*y - 8. Let g(w) = 5*w**2 + 2*w - 7. Let r(j) = -5*g(j) + 6*k(j). Let u be r(6). Put -2\/3, 0.1, u in decreasing order.\nAnswer: 0.1, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 367\/5 - 73. Let v = 2.5 - 3. Suppose -4*n = -2*q + 8, 3*q + 3*n - 9 = 8*n. Which is the second biggest value? (a) v (b) q (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.9, 2, -3\/5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lleellleee.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*w - 17 = 5*o - 51*w, w + 7 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 17)*(-57*c**3 + 18*c**4 - 57*c**3 + 116*c**3).\nAnswer: -396*c**4 - 44*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(((-1)\/(-1))\/(1\/2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 - (-6 + 3 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 6*f + 29. Let x be o(9). Suppose 0 = -2*p - 1 + 5. What is the units digit of 0\/x - (-12 + p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 1220*a - 375580.\nAnswer: 5*(a - 178)*(a + 422)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*z - 6. Suppose z*h - h = 0. Solve 3*a - 1 + 7 = h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -417463752.\nAnswer: -1\/417463752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 71, 148, 225?\n\"Answer: 77*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560 divided by -560.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 - 129. Suppose -4*b = -9 - 3. Suppose b*r = 2*n, 0 = a*n - 0*r + r. Is n greater than -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7797, -7265, -6379, -5139, -3545, -1597, 705?\nAnswer: 3361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 9:53 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/36*8*(150\/48 - 3)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, u: 1, r: 1, h: 7, n: 2}. What is prob of sequence nh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1158 + 13?\nAnswer: -1145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 8*s**3 + 5 + 2*s**2 + 3 as k + r*s**2 + t*s**3 + o*s and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 5*c + 2. Let p be x(-5). Suppose -12 = -p*w - 6. Suppose l + 4*m - 28 = -9, 2*l - m = 56. What is the greatest common divisor of l and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 88924.\nAnswer: 444620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 15*o**2 - 23*o - 11. What is the remainder when 247 is divided by q(13)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 186077?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - -8. Let s = g + -25.8. What is s rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102.4598nm to micrometers.\nAnswer: 0.1024598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 12:24 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.51 - 1.2. Let s = j + 1.69. Sort 2\/13, 0, s.\nAnswer: 0, 2\/13, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36625160 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 414, 5, -0.02 in ascending order.\nAnswer: -0.02, 5, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 748\/(-14) + (-20)\/35. Let y be 360\/s*2195*-6. Round y to the nearest 1000.\nAnswer: 88000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -16 + 2*o**2 - 5*o**2 + 7*o + 4*o**2. Let w = -22 - -13. Let q be l(w). Solve -2*u - 8 = q*x + 2*u, 0 = -x - 4*u - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5021051*o**5 - 239004*o + 44 wrt o?\nAnswer: -100421020*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 + 10*n + 12. Suppose 20*u + 3 = 19*u, 0 = -j - 4*u - 16. Let b(s) = 3*s**2 + 12*s + 12. Let x(g) = j*b(g) + 5*r(g). Factor x(w).\nAnswer: -2*(w - 3)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-52567)\/(-81) + 162\/6561 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046601 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.28 + -10.28. Let m = 6 + g. Which is the nearest to m? (a) -0.4 (b) 2\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4689 + 4693. Suppose -4*a + 9*a = 15. Solve a*t + 16 = -w*l, 4*l + 0*t = -5*t - 24 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893261632?\nAnswer: 2, 13957213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -25*n + 620. Let c be z(25). Let f(q) = 3*q + 7. Give f(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 + -146 + (14 - 8 - 1 - -8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432324 divided by 108081.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*h + 4*c - 292 = 0, -2*h - 97 = 5*c. Let u = 61 + h. What is the remainder when 25 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l**(1\/9))**(-35)\/(l*(l*l*l*l*l*l*l**(-2\/19)\/l)\/l*l)**(-14))**(-19) assuming l is positive.\nAnswer: l**(4508\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.9486146 milligrams?\nAnswer: 948.6146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -38*m**3 + 19*m**2 + 5*m - 6. What is x(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4516, -4505, -4496, -4489, -4484, -4481?\n\"Answer: -b**2 + 14*b - 4529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5126, 2823, 6?\nAnswer: 2823","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11115 + 8?\nAnswer: 11124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2. Let j(v) be the second derivative of -55*v**4\/24 + 21*v**2\/2 + 36*v. Let y(u) be the first derivative of j(u). Calculate y(o(c)).\nAnswer: -110*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 8. Suppose -4*b + 0*b + 5*q + 191 = 0, -u*b + 143 = -4*q. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0035174 - 2.9966466. Let c = -3 - x. Round c to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a microgram in nanograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(425))**2.\nAnswer: -2145 - 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32759*n - 1259 + 1259 - 32739*n.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12695154 to the power of 1\/2, to the nearest integer?\nAnswer: 3563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**0)\/((y**5\/y)\/y))\/(y**(-1))**(-12\/5) assuming y is positive.\nAnswer: y**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615189 is divided by 599?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.248 rounded to 0 dps?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-35))\/((-6)\/(-45)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.4, 0.07 in descending order.\nAnswer: 0.4, 0.07, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -5\/3*w**3 - 7*w + 1\/3*w**4 - 4\/15*w**6 + 2\/5*w**5 + 0 + 1\/21*w**7 + 2*w**2. Factor k(f).\nAnswer: 2*(f - 2)*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1243952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2695478724*a**2 - 12875664*a + 15376 = 0. What is a?\nAnswer: 62\/25959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**5\/60 + 5*u**4\/24 - u**3\/6 + u**2. Let o be j(3). Solve o*v + 0*g - 2*g = 0, 2*g - 12 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(392) + 1)*-1 + -5 - ((-1 + -2 + sqrt(392))*-5)**2).\nAnswer: -6258*sqrt(2) + 30093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3364ce (base 16) to base 3\nAnswer: 20100010020000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 31. Let n be 232\/3 + t\/(-24). List the prime factors of n*3*4\/18.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12385670 + 0.3\nAnswer: -12385669.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 785 - 767. Solve -2*x + 4*x = -5*j + 21, -5*x + r = j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17645*b**2 + 3*b + 2175 wrt b.\nAnswer: -35290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -51, 4, -4 in decreasing order.\nAnswer: 5, 4, -2, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5b313 (base 14) to base 3\nAnswer: 102022201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 46 - 2. Let q(d) be the third derivative of -d**6\/120 + d**5\/5 + 11*d**4\/24 - d**3\/2 + 5*d**2. Is q(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6090, -40512, -97882, -178200, -281466, -407680, -556842?\n\"Answer: -11474*b**2 + 5384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 496\/20*5\/(-2) - (401 + -391)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1750060285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 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: Is 2110100159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/7 of a week?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*w + 228 = -11*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*m**2 + 158*m**2 - 2*m + 2*m.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 - 2*y**2 + 4*y. Suppose -49*j + 60*j - 418 = 0. Suppose 0 = j*k + 18 - 132. What is d(k)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -42.01. Let g = s - -0.39. What is the third biggest value in 1, 0.1, -1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4.4, -205, 5, -6, 15.\nAnswer: -205, -6, -0.4, 4.4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 33. What is the closest to -2\/103 in 2\/15, j, -3\/7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 15 = 0, 4*w - 11*l + 9*l = -1594. Let s = w + 402. Solve 3*a = 5*a - s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 3071*j**2 - 52489*j + 120. What is k(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 38a0?\nAnswer: -38a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/3 and ((-7930)\/1035 - -3) + 5?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.5 (c) -2\/11 (d) 2\/113\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (60\/8)\/(10\/24)*7. Let c = -1 + 15. What is the greatest common divisor of c and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 103566121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132675.\nAnswer: 3, 5, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13543169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99802.74 months to decades.\nAnswer: 831.6895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23918.259 * -1\nAnswer: -23918.259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42551425 (base 7) to base 4.\nAnswer: -31311101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 - 521. Let n(p) = -72*p - 1. Calculate c(n(o)).\nAnswer: -10368*o**2 - 288*o - 523","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-297)\/60 + 74\/296 + (-38)\/(-8)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 1. Let k(s) be the third derivative of -s**5\/60 - 5*s**4\/24 - s**3\/3 - 13*s**2 + 9. Give 3*k(i) - 7*u(i).\nAnswer: -3*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -967 divided by -967\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*f - 31*f + 466894. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -5*s**9\/6048 + s**8\/420 - s**7\/1680 - s**6\/360 - s**3 - 3. Let u(w) be the third derivative of z(w). Factor u(m).\nAnswer: -m**2*(m - 1)**2*(5*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-5 - -10) - -3 - 13.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -414072 by 972.\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 6*d + 4830. Suppose 2*f - d = 8*w - 5*w, -4*f = 2*w - 1948. Suppose -f - 1563 = -3*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*v*w**2 - 4*v*w - 3424*v - 2*w**2 + 3*w wrt w?\nAnswer: -38*v*w - 4*v - 4*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2208 and 1380?\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 224, 447, 670, 893, 1116?\n\"Answer: 223*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27184827013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 444.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, 10, -18, -80, -188, -354, -590, -908?\n\"Answer: -2*r**3 + r**2 + 5*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 14 - 16 = -c, q = 5*c + 3. Let i(m) = -m**2 + 9*m - 8. Let r be i(10). Is q at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95622908, -95622910, -95622914, -95622920?\nAnswer: -95622928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 276*q**2. Let s(b) = -2*b. What is s(a(l))?\nAnswer: -552*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/(-7))\/5)\/(12\/(-8))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -42, -88, -176, -318, -526?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -918.1187 + 0.1187. Let k = -918 - a. What is the closest to 0.1 in 11, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.10447 millennia in centuries?\nAnswer: 181.0447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**4 + 14*g**3 + 9*g**2 + 392*g - 9. Let p(l) = 4*l**3 + 2*l**2 + 98*l - 2. Let z(w) = 9*p(w) - 2*t(w). What is the second derivative of z(a) wrt a?\nAnswer: -24*a**2 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19964 - 73304 = -28*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1. Let a(z) = -z + 2. Let r(d) = a(d) - 2*o(d). Let p(m) = -11*m. Let n(q) = -5*q. Let w(h) = 10*n(h) - 4*p(h). Calculate w(r(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 29791 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**0)**(-9\/4))**(-33) assuming p is positive.\nAnswer: p**(297\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 4:06 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 8079164.\nAnswer: -8079164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1391 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47.1 and -3587.\nAnswer: -168947.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3*d + 457130 - 457127 = 0, -2*y + 5*d = -1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15\/7 = -0.57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/695 and ((-5640)\/(-288))\/(1 + 6\/4)?\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 264260383?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -94299 (b) 2\/23 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -48*h. Let l(r) = -9*r**2 + 3605*r. Give p(l(k)).\nAnswer: 432*k**2 - 173040*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r = -44*r + 648. Is r a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**3 - 85*x**2 + 5*x + 85 = 0?\nAnswer: -17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3543000 to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (1\/4 - -2). Let u = 265\/6 + -46. Let o = u - -3\/2. What is the closest to o in 0.1, -4\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2087317295 - 1?\nAnswer: -0.7912682705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68421023 or 68421019?\nAnswer: 68421023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 15*g - 14. Let u be k(-14). Let o be ((-4)\/(-8))\/((-2)\/u). Suppose -4*n + 5 = -o. What is the greatest common divisor of 2 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 2 (c) -0.67 (d) -690 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -202? (a) 28 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 2\/279, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 12. Let a be k(-6). Let w(o) = -o**2 + 7*o - 2. Let m be w(a). Solve 0 = m*l + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28.492 - -0.292. What is m rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -846*f - 5169. What is h(-6)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 9359280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*c**2*i**3 + 5*c**2*i - c*i**3 - 2*c*i + 6*i**3*n - 14*i - 2*n wrt i.\nAnswer: 252*c**2*i - 6*c*i + 36*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6225 and 3525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 9. Suppose -4*p = -o*p + 30. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v - 9 = -2*q, 0 = -4*v + q + 9. Suppose x = -3*o + 26, 7*o - 3*o - 39 = v*x. Suppose -5*g + 67 = y + 2*y, -y = -g - o. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pppnpppppnppp.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 48, 49, 50, 51?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*h**4 - 1846*h**2 + 6*h + 479083 wrt h.\nAnswer: -180*h**3 - 3692*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-121)\/(-22)*1*6. Calculate the highest common divisor of 1221 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljjllllllll. Give prob of picking 2 l.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in sixty-one quarters of a kilometer?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qypxqypyxiyfffqi. What is prob of picking 1 f, 1 q, and 1 i?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -20 - 33) + (4 - -22).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -111022114?\nAnswer: 111022124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**4*z**2 + 149*l**2*z**3 + 60*z**3 + 5*z**2 with respect to l.\nAnswer: 8*l**3*z**2 + 298*l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 + -4.3. Are -66 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18198 by -2022.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6887.591l to millilitres.\nAnswer: 6887591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - 0.02. Let o = 3 - h. Which is the second biggest value? (a) o (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115866.2 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 1761756.\nAnswer: 14094048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*d + 5*a - 7, -3*a - 15 = -4*d. Suppose 2*h + 22 = -4*b, -d*b - 3*h + 5*h + 1 = 0. What is the biggest value in b, 1\/5, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - w. Let r(z) = -3*z**2 + 5*z - 5. Let f be 10\/(-18) + (-3)\/((-351)\/(-52)). Calculate f*r(g) - 5*q(g).\nAnswer: -2*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 6*s**2 + 5*s - 9. Let r be y(-7). Suppose -15 = r*o, -3*d - 3*o - 9 = 2*o. Sort -2, 0, d in ascending order.\nAnswer: -2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-8)*12\/9. Let b(q) be the third derivative of q**4\/6 - q**3\/6 - 11*q**2. Let c be b(s). Calculate the highest common divisor of c and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 61 + 60 - 100. Let j(w) = -w + 3. Determine -21*j(p) + 3*z(p).\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6556 + 3918 = -154*b - 702 + 1936 for b.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2 + 32. Let o = 15 - 6. Calculate the lowest common multiple of t and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + -1)\/((-2)\/2). Let b = 0.1 + -0.3. What is the nearest to b in -0.3, r, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 10. Let i = -286 - -267.4. Let z = i - -19.6. Is z at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 3:25 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(6268 + 11*y - 6268) + 3 - 3 + 4*y + (-5 + 3 + 1)*(-2*y + 3*y + y).\nAnswer: -31*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 5)*(45*n**3 + 57*n**3 - 16*n**3) to w*n**2 + t + h*n**3 + f*n and give h.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*c + 5471 - 29033, 5*j - 5*c = 23530. Is 30 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h**4 + 5*h**3 - 4*h + 5. Let r(z) = 10*z**4 + 6*z**3 - 5*z + 6. Let t(o) = 6*j(o) - 5*r(o). What is the second derivative of t(c) wrt c?\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 2\/37, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 820 (b) 0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + b0d?\nAnswer: b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/10)\/(2*(-5)\/100). Let g(i) = i**2 - 3. What are the prime factors of g(r)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t + 2*t - t. Let q be (3 + 0)\/(9\/6). Let v(j) = 5*j - 5*j - q*j**2. Calculate v(n(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/7840 and -113\/16800.\nAnswer: 117600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -15*t - 5*s - 1, 4*t - 4*s + 4 = 0. Let o be (8 - t)*(-8)\/(-60). Factor 0*u**3 + 0 - 9\/5*u**2 + 3\/5*u**4 + o*u.\nAnswer: 3*u*(u - 1)**2*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 514878*u**4 - 7*u**3 + 97286*u**2 + 21*u wrt u.\nAnswer: 12357072*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.79191 times -0.4?\nAnswer: -0.316764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 1 h when three letters picked without replacement from {e: 2, z: 1, m: 1, t: 2, h: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-6)\/(-32)*11\/(693\/84)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(14\/4))\/((-108)\/(-84))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -208, 2, -38353 in ascending order.\nAnswer: -38353, -208, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-763)\/(-8 + -8 + 15). Let y = u - -31. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182*(-21)\/(-294) + (6*-16)\/(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 - 2300*r**3 + 483506*r**2 + 102202800*r + 3949116192.\nAnswer: 2*(r - 644)**2*(r + 69)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.100796406 to 4 dps.\nAnswer: -0.1008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -6\/7 (c) -1.4 (d) -6.14 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-84)*6\/9.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((8 + -10)*1)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0*(-4)\/8 + 1)*3. Suppose 0 = -5*w - i + 59, -y*w - 3*i + 40 = -7*i. What is the greatest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6922 is divided by 741?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*m + 53. Let l = m - -20. What is the greatest common divisor of 22 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -22 (b) 2 (c) -129 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 6:50 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 622200 + 3146?\nAnswer: 625346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 15.932. Let p = 208.119 - 208. Let u = t - p. Round u to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 23*r**6\/39 + 14*r**5\/65 - 8*r**4\/13 - 3806. Determine i so that b(i) = 0.\nAnswer: -1, 0, 16\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h = 4*y + 2, -15 = -3*h. Suppose -y*m - 16 = -6*m. What is the third derivative of -10*b**4 + 4*b**2 + b**m - b**4 wrt b?\nAnswer: -240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/(55\/1947) + -7?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*a**4 - 6*a**4 - 6*a**2 - 13*a**4 + 2*a**4 - 2 + 2 + (2*a**3 - 2*a**3 - a**3)*(3*a - a + a).\nAnswer: -73*a**4 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 6*w**3\/7 + 120*w**2\/7 - 6*w\/7 - 120\/7 = 0.\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6753 and 33.\nAnswer: 74283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4\/3)*z**(-6))\/(z*(z\/((z\/(z*z**0))\/z))\/z)**(5\/9))\/((z\/(z\/z**2)*z**(-5))\/(z\/(z*z\/(z*z**(2\/7)\/z*z))*z**(1\/3))) assuming z is positive.\nAnswer: z**(-304\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*m = -l - 171, 0 = -4*l + 3*m + 245. Let r = -41 + l. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-78)\/(-21) + (-2)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 106\/(-53)*(-2 - -1)*73. Let n(g) = -39*g**2 + g**2 - a*g**2 + 308*g**2. Let s(v) = -3*v. Give s(n(r)).\nAnswer: -372*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 3:47 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a - 34*a = -4, 4*a - 9636 = -5*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 31 = 4*o, 7*m = 3*o + 4*m - 21. Solve -8 = 2*g + 2*a, -5*g - 3 = -o*a - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -133?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 - -141. Suppose -3*p - h = -3*j, 5*p + 4 = -11. Calculate the remainder when j is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 939105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437 + 6262 + 39055 = -1496*h for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 - -2.1. Which is the third biggest value? (a) 0.1 (b) p (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*s + 16*s + 20. What is the remainder when 133 is divided by (-4)\/(-10) + 168\/s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5328 divided by 36359?\nAnswer: 5328\/36359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1467\nAnswer: -4\/1467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + (1 - 2 - 20) + (140 - 129)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - (10 + -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1476 - 13282\/9. Which is the second biggest value? (a) -61 (b) -2\/13 (c) g (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45120 and 105045?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 4*p**2 + 99*p - 240. What is d(-13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) -4 (b) -88 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23752996 to the nearest integer?\nAnswer: 4874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g. Let k be a(0). Let p = 1.9936 + 0.0064. What is the nearest to -0.1 in k, -9, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5371478 and 8?\nAnswer: 21485912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, n: 2, b: 4}. What is prob of picking 2 b and 1 n?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 254 - 32 = -q, 0 = -5*l + 5*q - 540. Let i = -73 - l. Let r = i - 40. Sort -1, 2, r in increasing order.\nAnswer: r, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9)*(-54)\/(-45)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*d**2 - 231654*d - 643275.\nAnswer: -3*(d + 8577)*(9*d + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 4)*(3 - 12 - 4)*(2 - 2 + y - 5*y + 3*y + 0*y + (-6 + 2 + 3)*(-3*y + y + 3*y) - 2*y + y + 0*y + 2*y - y - 3*y + 1 + 2*y - 1)*(3*y - 3*y + y).\nAnswer: -117*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.6, 0.2, 5 in ascending order.\nAnswer: 0.2, 5, 6.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -385*g**2\/2 - 560*g + 716. What is the first derivative of w(x) wrt x?\nAnswer: -385","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, p: 7, z: 1, f: 3}. Give prob of picking 3 f.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10664.4 and 0.709.\nAnswer: 7561.0596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 1\/12*w**4 + 0*w**3 + 0*w**5 + 0 + 1\/15*w**6 + 97*w + 25*w**2. Differentiate d(n) with respect to n.\nAnswer: 8*n**3 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -8*q**3 + q**2. Let t be a(-1). Let l = -4 + t. Suppose 1 + l = 3*x. Solve -20 = -3*d + 4*p - 4, -x*d + p + 4 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -476\/29 - -1933\/116. What is q in -v*q**2 + 1\/4*q + 1\/4 - 1\/4*q**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 20 = 0, -j - 1 + 7 = -u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15232 and 24.\nAnswer: 45696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2.936 * 1.3\nAnswer: 3.8168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 388545?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98 by -115441.\nAnswer: 98\/115441","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Convert 108.788319us to days.\nAnswer: 0.0000000012591240625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.02 times 2?\nAnswer: 178.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 + -36. Let l = 63 - i. What is the closest to l in -0.1, 2, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 7. Let g be w(0). Let a(y) = -8*y - 9. Let o be a(-3). Suppose 5*b = -0 - o. Let v(q) = q - 1. Let m(u) = 2*u - 2. Calculate b*m(k) + g*v(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180224 and 883520.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*a - 13214 = -101*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 174, 1047, 2512, 4569?\n\"Answer: 296*w**2 - 15*w - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1085500 and 29\/260.\nAnswer: 1085500","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*o - 18*o - 14*o - 17*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -681*b**2*p**3 - 2*b**2*p**2*y + 26*b*p**3*y - b*p**3 + 2*b*p*y + 26*p**3*y - p*y wrt b.\nAnswer: -1362*p**3 - 4*p**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -299473\/18 + 16632. Let b = -80207\/6 - -13355. Calculate the common denominator of b and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 227788 and 9185?\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/16*2*24\/(-20). Suppose -4*v - j = -t*j - 1210, -3*v + 895 = j. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 4) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5724, -5882, -6038, -6192?\nAnswer: -6344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-2)*(-468)\/(-144)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 1173844?\nAnswer: 1173844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 22*s - 7*s - 19*s - 16*s. Let d(a) = -a**2. Calculate d(v(p)).\nAnswer: -400*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 95889523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 907*o**3 + 4095*o**2 + 1785241*o wrt o?\nAnswer: 5442*o + 8190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 + -226791158329?\nAnswer: -226791158329.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.538 + -10724.8?\nAnswer: -10726.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 9:19 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 251312*d**6 - 332518*d**2 wrt d?\nAnswer: 30157440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 457960, 915758, 1373556, 1831354, 2289152, 2746950?\nAnswer: 3204748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 229187 and 229188 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81*f**5 - 152*f**4 - 2645*f**2 + 6*f wrt f?\nAnswer: -4860*f**2 - 3648*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-180)\/(-210))\/(-3))\/((-4)\/(-7))*3026. Is -1516 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 j when three letters picked without replacement from rjjr?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 25652\nAnswer: -1\/12826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k. Let a(w) = 358943*w + 8. Calculate a(j(u)).\nAnswer: -717886*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/((-7840)\/(-348)) - 10\/35. Let m = 11\/40 - r. What is the nearest to m in -6, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*r - 3 - 4 = 0, -10 = 2*h - 2*r. Suppose 5*m - 4*q = -4, 3*m + 2*q + 9 = -11. Is m < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-g - 2*g - 2*g)*(0 - 3 - 22).\nAnswer: -250*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 1 (c) -4 (d) -12 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00131190159 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 2894*t - 2076533. Let d(y) = 3*y**2 - 8679*y + 6229586. Let b(w) = -4*d(w) - 11*f(w). What is l in b(l) = 0?\nAnswer: 1441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 6*b**2 + 8*b - 3. Let p be o(-7). Let a = p + 10. Suppose -4*y + 12 + a = 0. Solve 4*j + 5 = y*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-30) - 10\/(-6). Let t be (900\/105)\/(78\/21). Which is greater: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**1*d)\/d)**(-2\/33)*d*d**(1\/2)*d*d*d*(d**4*d)\/d*(d**(-5)\/d*d**(-7\/4)*d)**(-38) assuming d is positive.\nAnswer: d**(2913\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) - (-4)\/6. Let d be (-24)\/(-6) - s\/1. Sort d, 1, -5 in descending order.\nAnswer: d, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v + 0*v + 0*v)*(-194*v + 32*v - 35*v)*(-1 + 1 - 2) to x*v + r + s*v**2 and give s.\nAnswer: -1576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c + 3 - 3 + (-3 + 2*c + 3)*(-5 + 5 - 2) - 6 + 6 - 32*c + 382*c.\nAnswer: 348*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9568367 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 0)\/3*1. Let o(q) = -q**2 - 1 - q**3 + 1 + n*q**2. Let a(b) = -b**3 - 3*b**2 - b. What is a(y) - 3*o(y)?\nAnswer: 2*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 636916599?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.36 - -104.36. Let l = -102.04 + n. Sort -2, -0.4, -3, l in ascending order.\nAnswer: -3, -2, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-30))\/(((-66)\/231)\/(376\/(-14)))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8358*a**3 + 3802*a**3 + 4065*a**3 + (-4 - 2*a**3 + 4)*(-1 - 3 - 15) in the form c*a**2 + s*a**3 + t*a + l and give s.\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/7 at least as big as -74\/3657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 0 + 0*i**3 + 1\/12*i**4 + 0*i**2 + 4*i. Let z(o) = 3*o**2. What is b(z(x))?\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s*s*s**(1\/7))\/s*s)**16)**(-27))**(-47))**(-22) assuming s is positive.\nAnswer: s**(-6700320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (36\/10)\/(14\/(-35)). Let g(i) = i**2 + 9*i + 2. Let r be g(f). What is the units digit of (r + -5)\/((-3)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21\/4 + -5. Suppose -l - 42 = -2. Let g = 122\/3 + l. Which is the closest to 0? (a) k (b) g (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**4\/24 - h**3\/3 + 2*h**2. Let p be m(-4). Suppose -5*q - 2 = -3*a, 0 = 3*a - 6*q + p*q - 4. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 7. Give m(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25661951.4114 minus -14?\nAnswer: 25661965.4114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3725 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 2*w**2 + w. Let t be v(2). Let j(i) = i**3 + 46*i**2 + 241*i + 40. Let c be j(-40). Sort -5, 1, t, c in decreasing order.\nAnswer: t, 1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55440 = -5*z + 35*z. Is z a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 - (45 - 38)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 209.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37980001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397670 is divided by 66273.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 15*b**6\/2 + 19*b**4\/4 + 7031*b**2\/2 + 1148. Find the second derivative of t(s) wrt s.\nAnswer: 900*s**3 + 114*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 5*r**2 + 6*r - 3. Let x = 1 + 3. Let w be y(x). Let j(h) = h**2 + h + 2. Let o be j(0). Solve -3 = 3*v - o*t + 3, w*v + t - 3 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9133 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + (7 - -1) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/5, -3\/5, -2\/3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + 0 + (2 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**3\/2 - 37*a**2\/2 - 8*a. Let j be t(-14). Solve -j*y = 2*o - 0*o + 21, o - 5*y = 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23\/39 - -1\/13. Let r(o) = -o**2 - 5*o - 2. Let s be r(-3). Which is the nearest to w? (a) 0.2 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 8. Let m be (-13)\/(-3) - 2\/i. Solve 0 = m*o + 25, -8 = -4*g + o + 3*o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 15. Let t = 593\/34 - 305\/17. Let i be 8\/(-24) - (-10)\/3. What is the second biggest value in o, -0.4, t, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/(-2) - 6)*(-3 + 11060) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 3*c**2 + 3*c + 4. Let l be j(3). Suppose -3*h + 380 = 47. Let v = h - 59. What is the greatest common divisor of l and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f - 28. Let d(c) = -50*c - 475. Give 2*d(t) - 35*v(t).\nAnswer: 5*t + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y + 19*y = 5*u + 64, y - u = 16 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09189 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 376.3 + -565.4. Let g = s - -189. Is -26 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -241898009*g*m**3 + 23*m**3 + 83*m**2 + m + 5 wrt g?\nAnswer: -241898009*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.8 + -19.7. Let k = 77 - 75. What is the biggest value in 0.5, -1\/9, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3299167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -59, -114, -201, -326, -495?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, and 1 j when three letters picked without replacement from {t: 1, k: 1, a: 1, g: 1, j: 1, p: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*n - 3*v - 7, -15 = -2*n + 5*v. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71611507.86777695 + 0.13222305. Let t = -71611504.98000835 + v. Let o = 3.02 - t. Round o to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -156*i - 4004. Calculate q(-26).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/165? (a) -0.1 (b) 1\/4 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - v + 1. Suppose 64 = -16*x + 12*x. Let b be 15\/(-12) - 36\/x. Calculate c(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 9*y - 49 = 7*y, y = -4*q + 57. Solve 12*o - 23 - q = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 1, q: 1, r: 1, t: 1, n: 2}. What is prob of sequence tt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-9 + (20 - 10)). Suppose 0 = -3*b + 3 + 3. Suppose 8 = b*n + 2*n. Put p, -3, n in decreasing order.\nAnswer: n, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/813 and 101\/17682.\nAnswer: 4791822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdbsfbsdfddfbfbfdss. What is prob of sequence fd?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (24 - 1) + 4 + -14.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 3*v**2 + 5*v + 1. Give f(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7089577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 1176*p + 1178*p + 44 = 0, -2*c + 5*p + 198 = -4*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 3*t + t + (4 - 4 + 1)*(t - t + 2*t))*(-3*t - 3*t**4 + 3*t) - t**5 + t**5 - t**5 - 25*t**5 + 477 - 477.\nAnswer: -23*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-3))\/((-22)\/(-33)). Suppose c*j - 39 - 19 = 3*i, 0 = 5*j + 4*i - 51. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 669282.038 or 0?\nAnswer: 669282.038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898\/11 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -266704*m*n**2 + 252523*n**2 wrt m?\nAnswer: -266704*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1, 0.3, -2\/13, 875.14?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + q**2 + 2*q**4 + 3 + 0*q + 0*q + 8*q**3 + 3*q**2 - q in the form n*q + d*q**3 + m*q**2 + s*q**4 + c and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5989*k - k**2 + 2 + 6013*k + 5. Calculate i(24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1998091420 and 299?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**6\/1800 + b**5\/100 - 3*b**4\/40 - 5*b**3\/6 - 3*b**2. Let y(i) be the first derivative of p(i). Factor y(v).\nAnswer: -(v - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**3\/6 + 2*g**2 - g. Let h = 6 + -6. Let t be j(h). Which is the third smallest value? (a) 2 (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1374 (base 8) to base 12.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63.1 - -63. Which is the nearest to r? (a) 0.2 (b) 0.01 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/10)\/(2\/(-5)). Suppose -10 = -h - 4*h. Suppose -2*s + h = 2*n, 3 = 4*n - 1. Solve u + s = w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-12) - 4\/16. Suppose o = x + 5*x + 24. Let y be 2\/(-11) + (-200)\/110. Sort -1, y, x in ascending order.\nAnswer: x, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*x + 32, -28*x + 1 = -27*x + 2*o. Let k = 70 - 71. What is the nearest to -0.3 in k, x, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/9*15 + 4. Solve 4*z**2 + 23 - m*z + 7*z + 41 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -138021, 0, -2 in ascending order.\nAnswer: -138021, -7, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 38759\/(-731675) + (-2)\/(-25)\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/2)\/((10227\/974)\/((-7)\/(-4))).\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/360*(-30)\/(-54)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 + a3c?\nAnswer: a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7500949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2 + 2 + (-5 + 2*s + 5)*(5 - 1 - 3) + 1 - 1 + 2*s + 4*s - s - s + 4*s - 3*s + 0*s + 7 - 9 + 26 - 2*s)*(89 - 12 - 9).\nAnswer: 204*s + 1632","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 10239, 0.06517?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 498554660?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.0219 and 0.4.\nAnswer: 1.4219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4141636.\nAnswer: 2, 1035409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 172, 263, 354, 445, 536?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/264 and 173\/660?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149766*u - 92 = -149771*u - 4*k, 5*u - 2*k + 29 = -17 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 4 = -4*o. Suppose 169 - 4 = o*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -445514, -445396, -445204, -444944, -444622, -444244?\nAnswer: -443816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-10)*(-6 - -2). Which is the nearest to 0? (a) h (b) -0.017 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 2*n - 34, -n + 27 = 4*i - 0*n. Let o = i - -2. Suppose 4*y = o - 2. Solve 0 = -y*w + 3 - 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a kilometer in meters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.028 - -3.028. Let j = 3086\/3 - 21608\/21. Which is the smallest value? (a) y (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -11*o + y + 4, -o + 3 = 2*y. Let q(u) = 1 - 13*u + 2 - 4. Calculate q(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -6*4*(sqrt(112)*-1 - sqrt(112)) + 3)*-2)**2.\nAnswer: -3072*sqrt(7) + 1032208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10518*f**3*s**2 - 10*f*s**2 + 18*s**2 - 7*s + 27 wrt f?\nAnswer: -31554*f**2*s**2 - 10*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1595863 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**7\/14 - k**4\/3 - 7*k. Find the third derivative of p(q) wrt q.\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -6. Suppose 3 = -5*g + 4*x - 2, 3*g + x - 14 = p. Suppose 2*q - 1 - g = 0. Solve v - 3 = q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137 + 206. Suppose 4*h = 2*h + 2*r + 38, h + 4*r = -6. What is the remainder when m is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 10:22 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjvjj. What is prob of picking 2 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121 + (-4 - -2) - 0 - (-41 - 29 - -56).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.6 (b) -1 (c) -0.2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5879 - 1081 = 2*p. Let c = p + -1155. Suppose 0 = 4*k + 400 - c. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-2)\/8*528\/(-33)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -105316 divided by -2\nAnswer: 52658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q*(q*q**3)\/q*q)*q))\/(q**(-5\/3)*q)*((q\/q**(1\/4)*q)\/q)**(-11\/9) assuming q is positive.\nAnswer: q**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0362 + 0.1638. Which is the second smallest value? (a) 52 (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 0*a**2 + 5 - 7*a - 3 + 0. Determine u(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.98706 micrometers in meters?\nAnswer: 0.00000098706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -13*t + 7. Determine j(-4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 606654 times 0.06\nAnswer: 36399.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 158852004 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w - 59. Let x be i(21). Let j(l) = -3*l**2 - 2. Let c = -18 - 4. Let m(u) = -15*u**2 - 11. What is c*j(q) + x*m(q)?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -99841.58 rounded to the nearest one hundred?\nAnswer: -99800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 39*j**5\/10 - j**4\/6 - j**3\/3 - 79*j. What is the third derivative of q(v) wrt v?\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {i: 3, l: 13}?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i + 3. Let f(o) = 2*o + 1. Let h(d) = 17*f(d) - 6*v(d). Let a be h(-2). Let p = 5 - a. Solve p = 4*b - 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**2 + 2*s - 25. Let j(m) = -6*m**2 + 3*m - 38. Give 5*j(d) - 7*p(d).\nAnswer: -2*d**2 + d - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19\/2 + 5\/(-10). Let y = v + -7. Solve 2*h - 45 = 5*j - y*h, 4*j + 4*h = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + 26. Let a = -26 - -45. What is the remainder when v is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-54) - 62907\/(-54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -170?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 481 + -480. Let f = 0.7 - 0.2. Let r = 7 + -3. Sort r, f, d in decreasing order.\nAnswer: r, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 2, m: 5, n: 1, z: 1, b: 2, p: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 54. Let z = w - 20. Suppose 0 = d + z*d - 60. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14205528 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-36)\/(-162) + 110\/(-18) and -14\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-3 - 16) + -4). Suppose -f = -4*u + 2. Suppose -m = u - 14. Solve -m*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 34*j**2 - 51*j - 7. Let i be g(4). What is the highest common divisor of i and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + 131?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 4*y - 6. Let o be l(5). Let c = -10 - -5. Sort -2, o, c in increasing order.\nAnswer: c, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 1. Let p = 9 - 13. Let c(g) = -3*g + 4. Let y(q) = p*b(q) - c(q). Let n(x) = 8*x**2 - 10*x**2 + 7*x**2. What is y(n(t))?\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 209 - 199. Let t(u) = u**2 - 7*u - 26. Let y be t(k). Let d(f) = -4*f**2 - 5*f - 4. Let l(p) = -2*p**2 - 2*p - 2. What is y*d(m) - 9*l(m)?\nAnswer: 2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 14314950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/135 and -53\/135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90435473?\nAnswer: 47, 257, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1487*s - 1210*s - 15238 = 30611 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*f = -126, -p + 54 + 69 = 2*f. Suppose -5*j + p = -54. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 9:12 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 46*i - 36. Determine u(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 v, and 1 c when four letters picked without replacement from {c: 8, f: 4, v: 2}?\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137255 to the power of 1\/2, to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -10*u - 33. Let f be t(-14). Suppose -5*v + f = r, 0 = 3*v - 7*v + 2*r + 80. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 73 + -1468 + 1458\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/((((f\/((f\/(f**(-1\/4)*f))\/f))\/f)\/f)\/f))\/f)\/((f\/(f*f**(-3\/7))*f)\/f))**(6\/31) assuming f is positive.\nAnswer: f**(153\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-12))\/((-3)\/108). Let c = -9 - j. Is -3*(-201)\/c*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06625447 not equal to -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1) + (-4 - -5) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 1, 43, 4, 40 in decreasing order.\nAnswer: 43, 40, 4, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 14*i - 6 - 7*i - 7*i + 54*i**2 to the form w + j*i + z*i**2 and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -206704879948 from 2.\nAnswer: 206704879950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 e when three letters picked without replacement from {h: 3, e: 3, n: 7}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2093 a factor of 335204415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359970, 719943, 1079918, 1439895, 1799874, 2159855, 2519838?\nAnswer: 2879823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-27)\/(-24))\/(29 + 2061\/(-72)). Solve 22 = -5*i + 3*d, -y*i - 2*d = 25 - 27 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106503 + 0*n - n - 212840 - n + 106357.\nAnswer: -2*n + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -41, -47, -63, -95, -149, -231, -347, -503?\n\"Answer: -c**3 + c**2 - 2*c - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**2\/c)\/c)**(1\/43))**(1\/12) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + q + 7, -4*a - q = -3*q - 8. Suppose 0 = 4*f - 2*u + 3 - a, 2*f = 5*u - 13. Solve -5*y - 13 - f = 2*r, 3*y = -4*r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1017*j**2 + 251*j + 1929754 wrt j.\nAnswer: 2034*j + 251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160209 by -102.\nAnswer: -53403\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33\/4*r**2 + 3\/2*r**3 - 3 + 39\/4*r.\nAnswer: 3*(r - 4)*(r - 1)*(2*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, -4\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0648 + -0.3098. What is p rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93+0.1009\nAnswer: 93.1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -27, 5, -6, -5 in decreasing order.\nAnswer: 5, -5, -6, -8, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -7, -18.9, -0.7, -5 in increasing order.\nAnswer: -18.9, -7, -5, -0.7, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(78) + sqrt(78) + sqrt(78)))\/(sqrt(6) + (sqrt(12)\/(sqrt(10)\/sqrt(5)) - sqrt(6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -267\/2 (b) -69574 (c) -2\/3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*k - 68*k - 63*k.\nAnswer: -98*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 540033422 a multiple of 823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 times -152?\nAnswer: -45448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(45) - 2*sqrt(45)) + 4)**2 - sqrt(45))*-3.\nAnswer: -183 + 81*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 316, 1082, 2290, 3940?\n\"Answer: 221*n**2 + 103*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 3 - 4 + 4 + 3*b. Let v(i) = 13*i**3 + 2*i**2 - 1. Let y be v(1). What is the units digit of l(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) 0.5 (c) -8\/5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2 - (361\/(-646) + 1)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 82*p - 718. Let q be w(9). Let a be (-10)\/2 - 0\/1. What is the nearest to -1\/4 in q, a, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4510 a factor of 762395584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 6*g + 2. Let t be h(-6). Let k = -101 + 100.6. What is the second smallest value in k, t, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.027 < 26493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13*2\/(-2)*-3?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.5 - -13.29. Round x to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + q + 3*q - 102784 = 0, 3*q = 2*d + 51387. Let u = d - -385234\/15. Let t = u + 55\/3. Is -0.4 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -83 + -1?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-4) + -1)*-1. Let u(k) = -106*k + 2. Let m be u(b). Calculate the highest common divisor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.09184 + -0.092. What is c rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b6a - 2aa?\nAnswer: -2258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(8*p**2 + 13 + 49 + 2*p - 10*p**2).\nAnswer: 2*p**2 - 2*p - 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**6 - 63*s**3 + 5*s**2 - 107*s wrt s.\nAnswer: 120*s**3 - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3))\/(i\/(i**6*i*i*i)*i))\/((i**5\/i)\/(i**(-2\/35)*i)) assuming i is positive.\nAnswer: i**(68\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8*d = 0. Suppose -i + d*l = -2*l, 4*i - 16 = 4*l. Is 2\/i - 147\/(-4) 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 3, -134\/3, 0.11, 3\/5, -1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - r + 14 = -3*j, -5*j - 4*r = 6. Suppose -j*o = 3*o - 45. Calculate the greatest common divisor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -9*j**2 + 8*j - 8 + 12*j**2 + 8*j**2 + j**3 + 0. What are the prime factors of a(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11989*k - 9215*k**2 + 193*k**3 - 3057*k - k**4 + 5637*k.\nAnswer: -k*(k - 97)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8209 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*z - 142*z - 84*z to the form q + p*z and give p.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t + 9 - 3*t**2 - 5 - 4. Let s(w) = 3*w**2 - 6*w. Calculate -4*s(j) - 5*x(j).\nAnswer: 3*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2 - 5*w - w**2 + 0*w + 3. What is the units digit of o(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + f = 0. Let b(h) = h + h - h + f. Let k(u) = u**2. Calculate b(k(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 1 + 1 - 4*x - x + 4*x + 3 - 3 + 2*x + 1 - 1 + x + (5 - 3 - 1)*(-2*x + x + 2*x) + 4*x - 3*x + 0*x)*(-4 + 4 + x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 670265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 132.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -206 - -343. Let z = l + -136. Let w be (-4)\/(-6) - 28\/6. Is z greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 10.04903032233?\nAnswer: 9.64903032233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 419298231214?\nAnswer: -419298231213.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 9*p**2 + 12*p - 2. Give w(5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(19)) + -1*sqrt(475).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 534 - 18. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*4\/72 - 2\/6. Let d = 3 - 3. Which is the nearest to 1\/3? (a) f (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttkktt. What is prob of picking 2 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 16*w + 18. Let q be l(15). Suppose -106 + 527 = 5*h - 2*c, -261 = -q*h - 3*c. Let i = h - 51. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i\/(i*i**5\/i)*i*i))\/i**4*(i*i**(-1\/4)*i)**(-40)*(i**(4\/5)*i*i**6)**(-3\/4) assuming i is positive.\nAnswer: i**(-1577\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45172 and 1058.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36\/259465 - 13338833593\/18681480. Let h = x - -714. Find the common denominator of h and -75\/14.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 2380 + 2388 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a factor of 595279127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q**3 + 4*q**2 - q. Let r be o(-2). Let h be (59 - 52) + r\/(-10). Factor 2\/5*k**3 - 2\/5*k + 2\/5*k**2 - h.\nAnswer: 2*(k - 1)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8820 and 276.\nAnswer: 202860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22713159*0.2\nAnswer: 4542631.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0*l**2 - 5 + 4*l + 2*l**2 - l**2. Suppose 0 = 3*o + 2*o + 25. Let i be r(o). Solve i*d + d = -3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -222, -192, -150, -96, -30, 48?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 8. Let b(q) = -262083525000*q + 425000. Let o(i) = 1849997*i - 3. Let s(t) = -6*b(t) - 850000*o(t). Let r be s(a). Round r to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -11.58. Let t = 0.42000062 - b. Round t to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 373941 to the power of 1\/2, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6494763300 to the power of 1\/5, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o + 3. Let a(w) = 19*w + 11. Let i(p) = 6*a(p) - 22*g(p). Let r(z) = -z**2. Give r(i(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600 divided by -7.\nAnswer: -600\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/1)\/(-4 + 3). Suppose -3*h = -4*w + 26 - 5, h = 2*w - f. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47729393 to the power of 1\/2, to the nearest integer?\nAnswer: 6909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (590\/413)\/((-48)\/(-42))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 4:32 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3098 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -24. What is the highest common divisor of 55 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*b = 19*b + 21*b + 390 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 5 + k + 4)*((-2*k + 0*k + k)*(4*k - 3*k + k) - 3*k**2 + 29*k - 29*k + 2*k**2 + 3*k**2 - 7*k**2) in the form a*k + z + b*k**3 + t*k**2 and give t.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55958 and 670925.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 - 0.57. Let y = r + 0.04. Sort y, -0.4, 3\/8 in descending order.\nAnswer: 3\/8, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 4*r**2 + 6*r - 7. Let b be q(-5). Let u be 2\/b - 827998\/12. Round u to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73188 divided by -963?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 8:08 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 132*l + 1432. What is h(-11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2))**(-6)\/((m*(m\/m**(-9))\/m*m*m)\/(m**0*m*m*m)) assuming m is positive.\nAnswer: m**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -6. Let l be (44\/3)\/(s\/48). Suppose v - 5*v = -l. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -74, -144, -240?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 + 80*d - 515. What is x(-43)?\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 6*c**2 - 8*c + 8. Let j be f(7). Let s be j*-6*(-12)\/18. What is the second derivative of 4*d - d + 5*d**s - d wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1410 is divided by 100 - 6 - 4 - 12\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 402.09 and -289012.\nAnswer: -288609.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/3127280 and 87\/4840.\nAnswer: 378400880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 478*1\/(-2)*(-36)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 6*q + 15. Let g be d(-11). Let c = g + -352\/5. Let z be (16\/6 - 1) + -1. Is z not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 b, 1 g, and 1 f when four letters picked without replacement from {g: 6, f: 1, x: 3, m: 1, b: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32077 - -34555. Calculate the remainder when t is divided by 206.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2. Let q(k) = -45 - 10*k + 45. Give b(q(s)).\nAnswer: -200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*b - 1833, -3*x + 5549 = -18*b + 16*b. Which is smaller: 1855 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5594*r + 99 = -5583*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -37 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22193 is divided by 281?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*f + 56*f - 4*o = 0, -f + 1 = -3*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228105 is divided by 3143?\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23985703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1314 is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -665.57 rounded to the nearest ten?\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 4:17 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1\/3 (b) -13 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = 2*h - 152. Solve -4*o - u + 17 = 0, 0 = h*u - 1 - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7891, -7883, -7871, -7855?\n\"Answer: 2*k**2 + 2*k - 7895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -19*o - 78. Find x, given that x + 1 - 3\/4*x**2 - x**3 - 1\/4*x**o = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 14 = 3*i. Calculate the remainder when 21 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8999 - 779?\nAnswer: -9556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*w - t, 4*w + 5*t - 31 = 14. Suppose 9 + 0 = -3*y + 3*g, -2*y - 4*g + 18 = 0. Let x = 29 + y. What is the highest common factor of w and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 87\/7, 85?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (1 + 8) - (25 - (5 + 32)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -59*v - 1. Let s be m(-2). Let j = s + -77. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 4*d**2 - 6*d + 6. Let f be j(6). Suppose -f = -b + 12. What is the greatest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 7:42 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - b + 2*b - 3 = 0, -5*b + 15 = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 54 - 2614901?\nAnswer: -2614847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 16, 5, -2633?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 468?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**7\/1680 + 13*x**5\/60 + 14*x**2. Let v(o) be the third derivative of q(o). Let d(s) = -s**2. Calculate d(v(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*((0 - 1 + 3)*(-3*h + 0 + 0) + 0*h - h + 5*h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**2\/11 - 82*n\/11 - 80\/11 = 0.\nAnswer: -40, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x**3 + 5*x**2 + 10*x + 11. Calculate the remainder when b(-4) is divided by 97.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5403089977 to the nearest integer?\nAnswer: 73506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 - 11*k**3 + 2*k**3)*(25 - 25 - 13*k**2 + (-2*k - 4 + 4)*(0 - k + 0) - 2*k + 2*k - k**2 + 1 - 1 + 2*k**2).\nAnswer: 90*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190 divided by -16835.\nAnswer: 38\/3367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142452 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m - 7. Calculate z(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00076852 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 7:27 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 154 = 11*v. Suppose -4*n - n + v = 0, n - 143 = -4*w. Suppose 2*d - w = -3*d. What is the remainder when 45 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2)*-1*2\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from {o: 2, t: 8, q: 4, l: 3, n: 2, m: 1}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -920\/41?\nAnswer: -920\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -4, 14 in increasing order.\nAnswer: -4, 2\/13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0 - 25 = -o, 3*o - a = 10. Find the third derivative of -4*v**5 + 3*v**2 - 2*v**2 - 4*v**o + 10*v**5 wrt v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/7))**(-44)\/((x**(-26)\/x)\/((x*x**(-5)\/x)\/x)) assuming x is positive.\nAnswer: x**(279\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17838 by 3.\nAnswer: -5946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5\/7 - 10*a**4\/7 + 34*a**3\/7 + 34*a**2\/7 - 64*a\/7 - 8 = 0 for a.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/735 and -83\/441.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31144951*b**4 - 9232507*b?\nAnswer: 373739412*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -167*k**3 - 2 + 9*k**2 - 3*k**2 + 170*k**3 to l*k**3 + t*k**2 + d + z*k and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.139 - -0.139. What is the nearest to 2\/11 in s, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 403 divided by 686.\nAnswer: 403\/686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1188 = 36461*r - 36515*r for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**4\/4 + 35*m**3\/3 + 15*m**2\/2 - 87*m - 90. Let g be b(37). What is g rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/25)*w**34)\/((w\/(w*w*w*w*w\/(w\/(w\/w**(2\/31)))*w*w))\/(w**(-5\/2)\/w)) assuming w is positive.\nAnswer: w**(56599\/1550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(2 - (-15)\/(-5))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4240156*i - 4240117*i + 8480273*i + 5*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (4 - 1) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*(-6)\/12*16. Solve l - 2 = 2*s + t*l, -2*l = 5*s - 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2466*h. Let s(y) = -y**2. Calculate s(a(q)).\nAnswer: -6081156*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 8*k - 30. Let z be j(-5). Let o(v) = 2*v**2 + 10*v - 7. Let p be o(9). What is the greatest common factor of p and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -3, -4, -8, 5 in increasing order.\nAnswer: -12, -8, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) - (sqrt(1296) - sqrt(1296)*-2) - sqrt(36))\/(sqrt(72)\/(sqrt(12)\/sqrt(2))) + (sqrt(3) + -1)*1 + -2 + sqrt(75))**2.\nAnswer: 72*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 49 = 3*d + 213, 0 = -u + 5*d + 48. Let f = u - 211\/4. Factor 0*k - f + 1\/4*k**2.\nAnswer: (k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71223010 rounded to the nearest 10000?\nAnswer: -71220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -2)*(4\/2 + -1). Solve 0*j = -x + 2*j + 8, b*x = -j - 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*w = 2*b - 470, 2*b = w + 478. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 + 727*v**2\/2 - 2911*v\/4 + 364.\nAnswer: (v - 1)**2*(v + 1456)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4860 and 584959320.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136818 and 30611991.\nAnswer: 2073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svidxav. What is prob of sequence vvs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 - 2*y**2 + 3*y**2 + (-y + 5*y - 2*y)*(-3*y - 3*y + 5*y) - 2*y**2 - 1 + 1 + 2 - 2 - y**2 + (2 - 8 + 2)*(-2*y**2 + 2*y - 2*y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c97 - 2?\nAnswer: c95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 1. Let l be (-5 + (-1 - -3))*1. Suppose 2*v = 4*v - 2. Let w = l - v. Determine a(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -82a1b - -24?\nAnswer: -829b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l + 1. Let t(k) = 9*k + 2. Let u(z) = 7*i(z) - 4*t(z). Give u(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7554, 15589, 23622, 31653, 39682, 47709, 55734?\nAnswer: 63757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41840 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {k: 1, n: 1, t: 14}.\nAnswer: 91\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12244330723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -111\/493 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/9180 and -61\/47831013.\nAnswer: 956620260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jni when three letters picked without replacement from nvjiijjkvjnijj.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24878?\nAnswer: 2, 7, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 - 116 - 27 + 270 in the form m + l*w**2 + n*w and give m.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.29, 5653, -4, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/1559852 and -57\/1190.\nAnswer: 7799260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*b**3 + 937*b**3 - 265*b**3 - 297*b**3.\nAnswer: 97*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 2*v**3\/3 - 3*v**2\/2 - 4*v - 16. What is the hundreds digit of z(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -10*v - 14*v. Let c = 0.839 + -0.649. Which is greater: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*u = -313*u - 201*u - 18513 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 892.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a - 4 - 1 - 2*a - a - a**2. What are the prime factors of o(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 19*u**7\/70 + u**4\/4 + 7*u**3\/6 + 87*u**2 - u. What is the second derivative of c(n) wrt n?\nAnswer: 684*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w = -52*w + 388760. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/40*(-75)\/45.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -8169733*y - 27. Let u(l) = 2*l**2. Calculate n(u(j)).\nAnswer: -16339466*j**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 7:08 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32649, -0.21, -11, 0.5 in ascending order.\nAnswer: -32649, -11, -0.21, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - s + 168 = 0. Solve -5*v = s + 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**2\/2 - 3*h\/2 + 9 = 0.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, l: 2, b: 3, x: 1, r: 4}. Give prob of sequence xrxr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1084 and -0.1.\nAnswer: 0.01084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1014794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 83?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 2 = 258. Suppose -54*c + 53*c + m = 0. Let p(v) = v**2 - 21*v + 21. Calculate the remainder when p(24) is divided by c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101 (base 4) to base 8.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 125 - 125 - 35*l**2 + l**4 - 4*l**4 - 4*l**4 + 0*l**4 - 2*l**4 + 4*l**4 - 3*l**4 + (-4*l**2 - 2*l**2 + 4*l**2)*(-l**2 + 2*l - 2*l).\nAnswer: -6*l**4 - 35*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1291 + 2958. What are the prime factors of p?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 14*j**2 + 5*j + 1. What is the units digit of r(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(14)*-3)\/(-3*(sqrt(7) - -1*sqrt(7) - sqrt(7))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3329, 70 in decreasing order.\nAnswer: 3329, 70, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 5) + 7 + -5 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 14*a - 9. Let u(p) = 6*p - 4. Let n(f) = -f + 1. Let s(q) = n(q) + u(q). Calculate -17*s(y) + 6*x(y).\nAnswer: -y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-14)\/(c**(-3\/14)*c)*(c**12\/c)\/(c\/(c**(-14)*c*c)*c*c*c) assuming c is positive.\nAnswer: c**(-277\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**3\/5 - 644811*b**2\/5 - 1289682*b = 0?\nAnswer: -10, 0, 214947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371095 is divided by 3638?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usjjeueuueuj. What is prob of picking 1 e and 1 u?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 205 = -5*b, 2*b + 158 = 4*l + 4*b. What are the prime factors of l?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4264 + (-18)\/36*(2 + 0)?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 1616?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009400524 rounded to five dps?\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10305145, -20610313, -30915481, -41220649?\nAnswer: -51525817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**4 - 185*c**3 - 1010*c**2 - 1660*c - 840 = 0.\nAnswer: -2, -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f\/(f\/(f**(-2\/15)*f)*f))*f\/(f**(-2\/9)*f))**26 assuming f is positive.\nAnswer: f**(3926\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.272 - 0.304. Let y = u + 0.0248. What is y rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/4 + 57*q**4\/4 - 1455*q**3\/4 - 29125*q**2\/4 - 78375*q\/2 - 67500.\nAnswer: (q - 30)*(q + 5)**3*(q + 72)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/4)\/((-4)\/16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**5\/15 - 33*u**2. Let t(o) = -5*o**2. Calculate t(l(j)).\nAnswer: -80*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 25 = 2. Suppose 0*k = 4*k - x - 7, i*k + 3*x = 9. Solve y = -4*a + 20, 4*y + 2*a + k*a = 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 72840?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*u = -186*u + 23*u. Solve u*x = 2*x + 10*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/2)*j**31)\/(((j\/(j\/j**12))\/j)\/j*j*j**22) assuming j is positive.\nAnswer: j**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7714276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 16 + 0 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.09037ml in litres?\nAnswer: 0.00809037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4489770 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 + -73.58. Let m = -67.56 - -67. Let r = m - w. Which is the closest to 1? (a) -0.1 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(26\/3)*v)**13)**(-6) assuming v is positive.\nAnswer: v**(-754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/288*9 + 22\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2. Let v(z) = 250*z**2 - 3. What is v(u(r))?\nAnswer: 4000*r**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5620 + 1940880.\nAnswer: 1946500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1253733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -3*f**5\/20 - 11*f**4\/6 - 7*f**3\/6 + 2*f**2 + 13*f. Let n be p(-7). What is the units digit of (-2)\/(-4)*(-1)\/(n\/(-888))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8297.923 + 8304. What is x rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248873141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/4? (a) -5 (b) 142 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 3*o**2 + o + 16. Let j be i(8). Suppose 2*d - 4*g - j = 0, 109 + 634 = 2*d - g. List the prime factors of d.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**5 + 3*i**5 + 1 - 9*i**5 + (3*i + 2*i - 3*i)*(-14*i + 37 - 37)*(i**3 + i**3 + i**3).\nAnswer: -87*i**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/60 of a week?\nAnswer: 168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**7\/126 + g**6\/90 + g**5\/30 - g**4\/18 - g**3\/18 + g**2\/6 - g. Factor d(t).\nAnswer: -(t - 1)**3*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 + 1020 = 224*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*k + 3. Let m(u) = u**2 - 6*u - 15. Let f be m(9). Suppose 3*r + f = -r. Sort r, -1, k in increasing order.\nAnswer: r, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9498, 9544, 9590, 9636, 9682?\n\"Answer: 46*v + 9452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -71*r**2\/2 - 97*r + 118. Is 25 a factor of g(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -p - o - 1, -o = -4. Let f be 6\/(-9)*6\/4. Let i = p - f. What is the closest to -0.2 in 3, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g - 7. Let n(f) = 4*f - 2. Let y(x) = -5*x + 2. Suppose 0*i - 2*i + 10 = 0. Let q(l) = i*y(l) + 6*n(l). Give -6*c(s) + 21*q(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 4:55 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b - 3. Let w be d(-2). Suppose w*f - 6 = 3*f - 2*a, -2*f = -2*a - 26. Let j(k) = -2 + f*k - 6*k - 1 + 2. Determine j(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlx when three letters picked without replacement from ltqtxtpxxqlttlxx.\nAnswer: 5\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 119688?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 15*a**2 + 39*a - 1. Let c be g(3). Suppose c*x + 7*x - 135 = 0. Calculate the highest common factor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27887 and 9931169?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 805*q**3 + 3 + 0 - 2*q + 14*q - 800*q**3 - 12*q.\nAnswer: 5*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + 2*sqrt(1053))*-4 + -5 + sqrt(1053) + -2)**2.\nAnswer: 1386*sqrt(13) + 127462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -742, -726, -710, -694, -678?\n\"Answer: 16*a - 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2941\/5 - 587. Let k(j) be the first derivative of 8 + 2\/15*j**3 + 18\/5*j - s*j**2. Determine c, given that k(c) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 39.9. What is the third smallest value in -0.3, -9, 1\/6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.512 and -75337564.29.\nAnswer: -75337563.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1591, 1728, 1965, 2302?\n\"Answer: 50*q**2 - 13*q + 1554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2538195, 2538194, 2538193, 2538192, 2538191?\nAnswer: 2538190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 161*j + 99. Suppose a = -0*a + 45. Calculate the least common multiple of a and w(-81).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, c: 5, q: 2}. What is prob of picking 2 c?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 162 = -42. Let x = y + -53. Let f be (10 + -3)*1 + x. Solve 0 = f*h - 4*o - 5, 2*h + 3*o - 5*o = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*r - 3*r - 28*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-1 + 3) + 5. Let u(d) = 3*d**2 + 6*d - 2. Let x(z) = 6*z**2 + 11*z - 3. Let r(s) = q*x(s) - 5*u(s). Is r(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*l = 45*l - 504. Let w be (36\/(-162))\/(2\/l). Factor w*a + 4\/3 + 8*a**2.\nAnswer: 4*(a + 1)*(6*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 divided by -850.\nAnswer: 74\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 3*y**2 - 6*y + 8. Let z be r(4). Suppose -x = -z*x - 0*x. Suppose 0 = -0*t + 4*t - 5*d - 696, x = 5*d. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 23*b**2 - 33*b - 101. Is i(21) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3440*m + 3443*m + 18 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*a - 2*a + 3*a + 6 - 3 wrt a?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 12286122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 78622272 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**4 + 4*l**3 - 39*l**2 - 26*l - 4. Let t(k) = -55*k**4 - 45*k**3 + 430*k**2 + 285*k + 45. Let c(a) = -45*j(a) - 4*t(a). Let c(m) = 0. Calculate m.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/27574 and 43\/16.\nAnswer: 220592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/3249 and 27\/38.\nAnswer: 6498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**5 - 7*a**2 - 13*a.\nAnswer: -40*a**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2779 - 2777. Solve -s - 6 = 4*d, x*d = 2*s - 3*d - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -3040\nAnswer: -15200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3910\/(-5432) + (-4)\/(-16). Let p = -4\/97 - a. What is the closest to 2\/7 in -0.2, p, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*m + 641*m - 1136 = 934 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 10, -3, -36, -95, -186, -315, -488?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3 - 40*q**2 + 42*q = 0.\nAnswer: -21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1279*c - 91042 = -1543*c - 12026 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*n - 18 + 307, 5*n = 5. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 320 + 2*u**2 - 80 + 2*u + 54 + 0*u + 0*u in the form m*u**2 + p + c*u and give p.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -117550 to the nearest 1000.\nAnswer: -118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1094\/56 + (-12)\/42 and 75\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 39. Suppose n = s + 11. Solve 0 = -6*c + c + n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6514759.\nAnswer: 6514759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**3 - 2*q**2 + q. Let k be l(1). Which is smaller: 12 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46064 by 4.\nAnswer: -11516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k. Let a(j) = -26*j**2 - 1. Calculate i(a(o)).\nAnswer: -130*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j = -26*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -4. Sort j, -3, 5\/3 in decreasing order.\nAnswer: 5\/3, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9206 + ((-8)\/2 - (62 + -59)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -169*q**5\/80 - 39*q**4\/16 + 2*q**3 - q**2\/2 - 2027*q. Factor i(r).\nAnswer: -(r + 1)*(13*r - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3033 - 4?\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.15 - 15.85. Suppose 0 = -5*t + 3*t + 24. Let r = t - 7. What is the closest to a in -1, r, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*h + 5*h + 590 = 18 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51706, 103433, 155158, 206881?\n\"Answer: -m**2 + 51730*m - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1739.0000002134 - -1739. Round r to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1403 (base 7) to base 14\nAnswer: 2aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13574?\nAnswer: 2, 11, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 31108234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -40600003 + -2 + 0. Round c to the nearest one million.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 1182 + 1192 = 0, -2*p = -5*a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3219 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2216685947 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 w when four letters picked without replacement from {w: 4, v: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 80787 - -0.2\nAnswer: 80787.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 669750493, 669750494, 669750505, 669750532, 669750581, 669750658, 669750769, 669750920?\n\"Answer: c**3 - c**2 - 3*c + 669750496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3756057 by 159.\nAnswer: 23623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 5. Let g = 4 + -8. List the prime factors of x(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence my when two letters picked without replacement from umytt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 59*g - 64*g. Suppose c = 5*l + 47, 3 = l + g*l. Let n = c - 45. Which is greater: n or 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*w - 2662 = -2538, 2*w - 142 = -4*l. What is the highest common divisor of 847 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**(-9\/8)*c**1\/c**1)\/((c**1)**(-12))**(-3\/16) assuming c is positive.\nAnswer: c**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 115 = 3*t - 31, -3*t - 56 = u + 28 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 97 and 122 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 79, -451, 4 in descending order.\nAnswer: 79, 4, 0, -3, -451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**3)\/m*m\/(m\/(m**(-9)\/m))*m*(m\/(m*m**(-1)))**(-22) assuming m is positive.\nAnswer: m**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 equal to 0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1794.2 + 1794. Which is the biggest value? (a) h (b) -0.09 (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35988.9 times 1101?\nAnswer: 39623778.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = 6*k. Let s = 1 + -1. Let y = -3 + s. Which is the closest to -1? (a) -2\/3 (b) k (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*r + 4*r - 29*r + (2*r - r - 3*r)*(-3 - 1 + 5))*(11*r - 31*r + 11*r).\nAnswer: 396*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -521\/2, -10\/343, -8, -1?\nAnswer: -10\/343","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 698057 or 698048?\nAnswer: 698057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*w + 2 + (-58*w + 104*w - 220*w)*(-3 - 3 + 5))*(3 - 2 - 3)*(2 + 21*w - 2).\nAnswer: -7224*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + m - 19. Let s be l(-5). Suppose -w = 5*a - 4*w - 2, -5*a + 4*w = -s. Which is greater: a or -4\/105?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(-11)*817\/(-43)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-three eighths of a millennium?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + ((4*sqrt(847) + 0 + sqrt(847))*4 + 5)**2).\nAnswer: 11000*sqrt(7) + 1694140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7157068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 4*l**2 - 8*l + 5. Suppose -4*k + 21 - 1 = 0. Let o be x(k). Let u = o + 16. Is u not equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 1)\/((-12)\/(-24))*1104\/(-32).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.231248l in millilitres?\nAnswer: 4231.248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -2*v + 2*y, -20 = -2*y + 7*y. Suppose 0 = -3*r - 2*r - 4*m + 215, 2*m - 43 = -r. Let g = v - r. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 231, 461, 691, 921, 1151, 1381?\n\"Answer: 230*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11099601?\nAnswer: 3, 997, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5518920.\nAnswer: 2, 3, 5, 11, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/1047 and 7\/12702.\nAnswer: 4432998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 - -78. Let b(d) = d - 14. Let n be b(u). Solve 9 = -4*z + n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 260303 + 46352 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26.4 - -26.32075. Let n = 0.08 + k. Round n to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71318887 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*z**2 - 53*z**2 - 69*z**2 - 46*z**2 - 66*z**2.\nAnswer: -35*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -6.8. Let q = o - -0.5. Suppose l - 5*l = -5*u + 1, 3*l + u = 4. What is the nearest to l in -4, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*o + 13*o**2 + 2 + 168*o**3 - 14*o**2 - 173*o**3 as u*o**3 + z*o**2 + q + y*o and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4231*g = 4224*g. Factor -50\/9*b**4 + g - 20\/3*b**3 - 2*b**2 + 0*b.\nAnswer: -2*b**2*(5*b + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 - 78 - (-2 + 10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0.7. Let g be (-5)\/3*(-66)\/55. What is the biggest value in -3\/7, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 365*x - 3647. Let o be z(10). Solve 158 - 137 = -o*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 0 - 8)*(-20*z**2 + 30*z**2 + 28*z**2) to the form l + j*z**2 + x*z and give j.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.103 times -0.5?\nAnswer: -3.5515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a + -323?\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = z + 5*l, -l - 15 = -5*z + 4*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 90*i**2 - 1384*i - 64. Give t(-20).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4698, 3700, 2076, -174, -3050?\nAnswer: -6552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 58 = 2*b, -3*l - 41 = 4*b + 23. Let j = -7 - b. What is the lowest common multiple of 10 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -80*r + 158. Let j be v(2). Suppose 4*f = b - 131, -3*b - 751 = -8*b - 4*f. What is the tens digit of b + (8 - 4)\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -10\/1707887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 598 - 687.6. Let v = m + 90. What is the nearest to -1\/3 in v, 1.4, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6882 a factor of 167962092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(2*sqrt(8)) - sqrt(11))*1.\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 - n**3 + 6*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/36 - 990\/(-8). Let u be 1 - (-2)\/((-6)\/(-261)). Let z = m - u. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from wlwauuajc.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9261486 by 54.\nAnswer: -171509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**2 + u + 1. Let p(i) = i**3 + 17*i**2 + 18*i + 31. Let x be p(-16). Calculate f(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tke when three letters picked without replacement from {e: 1, t: 3, k: 5}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-360)*8\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**4\/4 - 8*x**3\/3 - x - 26. What are the prime factors of f(9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 7*b - 1. Let c be h(-5). Solve -4*j - c = -29, -4*j + 17 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - (0 - -42) - -66 - 0?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.7 - 0.7. What is the nearest to 4 in -5, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782639 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3))\/(((m*m**(2\/21))\/m)\/m)*m**3*m*m*m**(-7) assuming m is positive.\nAnswer: m**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -10.24?\nAnswer: -0.1024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7088 = -3*a, -15*a + 17*a - 5*h = 4714. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a tonne in kilograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 80 = -2*h. Let d(s) = s**2 - 10*s + 10. Let q be d(10). What is the greatest common divisor of h and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.984?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3251, -3272, -3295, -3320, -3347, -3376?\nAnswer: -3407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 11*v**2 - 12. Let o(a) = a**2 + 17*a + 12. Let l be o(-19). Suppose 5*p + l = -4*z + 11, -12 = z - p. Determine i(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3540000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328347 + 23*l**2 - 328347.\nAnswer: 23*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -31, 0.5, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/5, -0.046, -152.8, 2\/3, 1.1?\nAnswer: -152.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 12:12 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3284, 4403, 5522?\nAnswer: 6641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 3, 1\/7, 12, 1\/3, -1\/3, 0 in ascending order.\nAnswer: -1\/3, 0, 1\/7, 1\/3, 3, 12, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -87\/4 + 43\/2*v + 1\/4*v**2 = 0. Calculate v.\nAnswer: -87, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 64533700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 2. Let m be y(0). Suppose m*g = -g. Let l = 14 + g. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1541435 + -1552092.79. Let t = f - -10612. Let m = 46 + t. What is the smallest value in -4, 0, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 709.44 + -709.4338617. Round v to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298, 577, 854, 1129, 1402?\nAnswer: 1673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5009873*i**2*o - 272*i - 2*o + 51 wrt i?\nAnswer: 10019746*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + v**2 - 2*v + 63. Let j be y(0). Let k be j\/(-99) - (-2)\/2. Solve 2\/11*c + k*c**2 + 0 + 2\/11*c**3 = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20c3 (base 14) to base 16\nAnswer: 161b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x + 21. Let m(l) = -3*l - 10. Let v(s) = -3*d(s) - 5*m(s). Let j be v(-4). Let c = 4 + j. Solve 7*k - c = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5987 is divided by 1988?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*d - 122708 = 8625. What are the prime factors of d?\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161070, -161231, -161688, -162591, -164090, -166335, -169476, -173663?\nAnswer: -179046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -364 - -364. Solve 2*o + 3*k = 16, l = -4*o + 2*k - 3*k + 22 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732011873 to the power of 1\/2, to the nearest integer?\nAnswer: 27056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 19.78, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1375*21\nAnswer: -28875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -126577.182 - -256238.\nAnswer: 129660.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2127 * -0.4\nAnswer: 850.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -19*t**4\/12 + 533*t. Let m(s) = -8*s + 2. Give x(m(k)).\nAnswer: -1216*k**2 + 608*k - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 5*o + 5. Let n(c) = -c**3 + c**2 + c + 1. Let v be n(0). Let q be 1 - 2 - 4\/v. Is 15 a factor of u(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*p = 17, 2*h + p - 2*p - 2 = 0. What is the lowest common multiple of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - 1. Let h be (-4)\/n*3\/(-2). Let s(c) = c**3 - 5*c**2 - 6*c. Let t be s(6). Sort h, 3, t in descending order.\nAnswer: 3, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(5) + sqrt(4))\/sqrt(2) + (sqrt(2) - (-2 + sqrt(2) + sqrt(4)\/sqrt(2))) + -1.\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*-3*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2*o - 6, t = -14*o + 13*o + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33155262*r**3 + 33358956?\nAnswer: -99465786*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 25 = u, -15 = u + 3*g - 48. Suppose 0 = -4*o - 2*y + 58, 4 = 7*y - 11*y. What is the smallest common multiple of o and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 9*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 12*a - 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -321*d - 43. What is t(0)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 0 + 2)*1\/6. Which is the nearest to 0? (a) z (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*x**2 + 59*x**2 + 68*x**2.\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1999102 and 99\/5711720.\nAnswer: 39982040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/5)*s*s\/((s*s*s\/((s*s*s**(-3))\/s)*s)\/s))\/(s**3*s**12\/s) assuming s is positive.\nAnswer: s**(-82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from ddddlrddldldddrldrdd.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/33)\/((-1092)\/(-378)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - q**2 - 3*q**2 + 3*q + (3*q**2 + q**2 - 6*q**2)*(-15 - 11 + 37) + (0*q**2 + 10*q**2 - q**2)*(11 + 11 - 8).\nAnswer: 102*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -3\/16, 0.6 in increasing order.\nAnswer: -26, -3\/16, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69*k**3 - 177*k**3 + 732 - 646 wrt k?\nAnswer: -738*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*g - 12, -4 = 3*j - 2*g - 3*g. Let s = 13 + -4. Solve j + s*q**2 + 4*q + 5*q + 3*q**3 + 1 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 467474 and 560.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32514388 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(170)\/(-2*sqrt(10)*1).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 15 = 13*a - 16*a - 2*a, -2*a + 16 = -0*g - 6*g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1395, 1393, 1387, 1377, 1363, 1345?\n\"Answer: -2*f**2 + 4*f + 1393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - 0.45. Which is the third smallest value? (a) 0.5 (b) -10\/11 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**4\/4 - 2*v**3 + 41*v**2\/2 + 8*v. What is the tens digit of z(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uti when three letters picked without replacement from {i: 1, t: 3, h: 7, u: 2, n: 5}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/6 - -3*(-2)\/9. Is 53723\/186 + 1\/p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2329260 and 1140?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.029 + -0.071. What is the closest to f in 4, 5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -300*x + 1581. Is 147 a factor of g(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -79*h**3 - 10*h**2 - 11*h - 13. Let c(v) = v**3 - 2*v**2 - 2*v. Give -5*c(p) + i(p).\nAnswer: -84*p**3 - p - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**4\/2 + b**3\/6 - 15*b**2\/2 + 39*b. Is 46 a factor of z(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -14910975.\nAnswer: -5964390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19129 - 19129 + 2509*q.\nAnswer: 2509*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1*58.994769\nAnswer: 58.994769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -68167 in -210\/23, 0.3, -4?\nAnswer: -210\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.488951ml?\nAnswer: 0.000488951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3072 divided by -64\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-36)*5)\/((-1015)\/42)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102000, -101990, -101966, -101922, -101852?\nAnswer: -101750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-3 - (0 + 1 + -5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1277652991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 4 = -6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, z: 1, u: 6, s: 5}. What is prob of picking 3 i?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 33667250?\nAnswer: 101001750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229840643 a multiple of 1437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -3. Is y <= 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g + 174 + 33*g - 18*g - g**2 - 26*g + 24*g.\nAnswer: -g**2 + 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 12, -18\/25, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 0 (c) -51 (d) 1091 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o - 10 = 0. Suppose p + 0*u + 4*u = -21, 4*u + 18 = 2*p. Put o, -4, p in increasing order.\nAnswer: -4, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-5) - (-3005)\/25. Suppose -u + 24 + 0 = -3*o, 0 = 5*u + 5*o - a. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30047664, 24, -4 in decreasing order.\nAnswer: 24, -4, -30047664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2934780 by 489130.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7521*y - 3755*y - 3758*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1032*q**4 + 591*q wrt q?\nAnswer: -12384*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1290, 5131, 11568, 20601, 32230?\nAnswer: 46455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 4*i - 15. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 165 + 4?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 6*b - 2*b + 13, -2*b = -w + 5. Suppose -2*y - 1890 = -w*v, 2*v + 5*y - 468 = 811. What are the prime factors of v?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -159505 at most as big as -159400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + -1. Let r(w) = -w + 1. Let c(q) = -5*q + 1. Let f(k) = s*r(k) + c(k). Suppose 2*v - 5*v - 15 = 0. What is f(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -150.9 and 0.022.\nAnswer: -150.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 89.27 and -0.31.\nAnswer: -27.6737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.01, -2\/11, 2, 1\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314534.\nAnswer: 2, 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a83 + -503?\nAnswer: -1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1943 and 5427?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -145 + 247. Let d = 102.99 - s. What is d rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0, 1\/3, 9, -0.07 in decreasing order.\nAnswer: 9, 1\/3, 0, -0.07, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -5. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-8))\/(1\/(-2)). Suppose 0 = 4*q - 15*q. What is the closest to -1\/3 in -0.1, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836511765 to the power of 1\/2, to the nearest integer?\nAnswer: 42855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*k**2 + 45*k**2 + 11*k**2.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7572 - -68599. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-10))\/((-5)\/5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, a: 5, m: 6}. Give prob of sequence mddd.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-862)\/3*(8 + (-117)\/18). Is -432 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -14. Let u be -3 + (n - 405\/(-57)). Let m = 2.02 + -0.02. Which is the second smallest value? (a) u (b) -1\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73983095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -103323 (base 5) to base 14\nAnswer: -1444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + ((-3 - -3) + 5 - 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.108 times 0.086\nAnswer: 0.181288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**2 - 7 + 8 - 21*o**2.\nAnswer: -30*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2. Let i(m) = -m + 1. Let r(h) = -11*h + 5. Let o(n) = -10*i(n) + 2*r(n). What is o(d(p))?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 71 = 106. Suppose -y*q - 695 = -2*g + 1485, 0 = -4*q + 8. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 + 19 - 8 + 11)*(-3 + w**3 + 3).\nAnswer: 77*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 12*b**2. Let z(m) = 2*m**2 - 32 - 3*m**2 - 41 + 73. Determine w(z(l)).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1402 - -411?\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 8. What is q(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 2)*(-4)\/(-774). Let o = 244\/903 - n. Let m = -275\/3 - -3019\/33. What is the smallest value in m, -2\/3, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.5*357\nAnswer: -5890.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + 2 + (5 - 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.465 + -0.038. Let a = -0.527 + h. Which is smaller: a or 2\/31?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(0 + sqrt(175) + sqrt(175) + sqrt(175)) - (sqrt(175) + 0)*-5) + (-1 + sqrt(175) - sqrt(175)) + -2 + -5)*-5)**2 + 3 + 0.\nAnswer: -16000*sqrt(7) + 281603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -17. Suppose 3*k = 4*u + 4*k + 97, v = 4*k - 12. Let t = 28 + u. Solve -4*o - 7 = -5*x, o = -2*x + t*x - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuugpspsusmpps. Give prob of sequence gus.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32.973 - -0.027. Let j = -33.0433895 - -0.0426095. Let k = j + p. What is k rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1181856 and -11\/886392?\nAnswer: 3545568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3 - 128*z**2 + 2048*z = 0. Calculate z.\nAnswer: 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534825 is divided by 118?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*b - 3*m, -3*b + 8*b = 3*m - 24. Let y(g) be the second derivative of -g**4\/12 - g**3 + 2*g**2 + 2*g. Is 2 a factor of y(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40205 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8*a**2 - 13*a**2 + 4*a - 17*a**2 + 6. Let s be c(-5). List the prime factors of s\/(-20) - (-12)\/15.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -7*h**4\/24 + h**3\/3 + 6*h**2 + h. What is c(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30420 and 3900?\nAnswer: 152100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2070 = 4*r, -3*r + 1022 = 4*i - 1713. Suppose -3*k + i = -757. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 25*y + 1368. Let z be x(0). Solve -z = -9*q - 1440 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/1240044 and 17\/11.\nAnswer: 13640484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q + 58091*q**3 - 6*q - 57589*q**3.\nAnswer: 502*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3.48 times -8\nAnswer: 27.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5902 + 1907. What are the prime factors of j?\nAnswer: 3, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36224\/7 + -5237. Let w = 402\/7 + f. Calculate the common denominator of -39\/5 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v - 2*v + 88*v to the form h*v + y and give h.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + sqrt(208)*2 + 0 + (sqrt(208)*-2*1)**2 + ((sqrt(208) + 1 - sqrt(208) - sqrt(208)) + -2)**2.\nAnswer: 16*sqrt(13) + 1043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15543554?\nAnswer: 2, 13, 43, 13903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(-3)*k**6\/k*(k*k**(-1\/4)*k*k)\/k*((k\/k**(2\/5))\/k**(3\/7))**(-1\/41) assuming k is positive.\nAnswer: k**(38721\/5740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -576776 (base 9) to base 6.\nAnswer: -11230410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5 - 3*t**2 - 1 - 4. Let d(f) = -f**2 + 1. Let x(q) = -32*q**2 + 36. Let z(y) = -72*d(y) + 2*x(y). What is o(z(b))?\nAnswer: -192*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 8*s**2 - 8*s - 6. Let x be q(9). Suppose h + 0*h = x. What is the second smallest value in h, -0.3, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4289 (base 12) to base 2\nAnswer: 1110010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from nananaannanna?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 40 (c) -2\/11 (d) -24 (e) 1\/14 (f) 486\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/4 + 12215*v**3\/4 - 9220821*v**2\/2 + 18404989*v - 18392770 = 0. What is v?\nAnswer: -13574, 2, 1355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 4. What is the least common multiple of (5 - g)*17\/17 and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2 + (-4 + 4 + 3)*(-5 + 5 + 2))*(-88*g + 368 - 368) to c*g + o and give c.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 4*g**2 - 9*g + 1. Let u(p) = -2*p - 1. Let r(y) = -6*u(y) + x(y). What is r(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-6))\/(-6*(-25)\/(-900))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4266295 a multiple of 688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 437, 681, 925, 1169, 1413, 1657?\nAnswer: 1901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1409*c**5 + 15*c**4 + 88*c**2 - 310 wrt c.\nAnswer: -84540*c**2 + 360*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f + 1. Suppose 5*j - 37 = -y - 3*y, 4*j = -y + 34. Suppose 0*a + 3*a - j = 0. Is m(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/3 - 23*g**3\/3 + 95*g**2\/3 + 119*g\/3.\nAnswer: g*(g - 17)*(g - 7)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30732 or 30733?\nAnswer: 30732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - u = 566, 4*g + 224 = 6*g + 2*u. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 2*i - 5. Suppose 0 = 2*z - 7*z - 120. Let j = z - -28. Give b(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 8. Let v be s(-5). Suppose -7 = 2*m - v. Put m, -3, -1 in increasing order.\nAnswer: -3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + 20*s - 194. Let c be l(-16). Let h(v) = -2 + v**3 + 2*v**3 + 2*v**2 - v**2 + v**3. Give h(c).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556191159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000489898 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*r - 18*r + 42*r.\nAnswer: 245*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 3922 = 3790 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121 or 10\/873?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v**2. Let f(t) be the third derivative of 0*t**3 + 1\/30*t**5 + 0*t + 0 - 2*t**2 + 0*t**4. What is f(a(u))?\nAnswer: 98*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100101 + -1101001100110?\nAnswer: -1101100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 8:02 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(8\/22) - (-211)\/844. Solve -n = -u + w, 4*n - n + 2*u = 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409556451?\nAnswer: 3, 2113, 64609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 267781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 3*d + 7*d - 306*d**3 - 10*d.\nAnswer: -306*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 + -0.08. Let c = 1 + -1.2. Let u = -55 - -50. What is the nearest to t in c, u, -1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -31.3. Let i = 0.2632 + -0.0632. Let h = -13\/126 - 5\/42. Which is the fourth smallest value? (a) k (b) h (c) i (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1b27a7 (base 14) to base 7\nAnswer: -11136300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-12 + 0)) + -6 + 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 50712.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/126 + (-2871)\/81 + 6.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1620103 is divided by 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 6*o + 11. Let s be g(7). Suppose -s = -2*b - 2, -2*y = -b + 25. What are the prime factors of (189\/y)\/(15\/(-40))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3630 and 37379562.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2\/4 - 25*h\/4 - 15\/2.\nAnswer: -5*(h + 2)*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 214*a - 6. Let r(q) = 215*q - 8. What is 5*g(j) - 4*r(j)?\nAnswer: 210*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 8:58 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0981 less than 14\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 3 (c) 5 (d) 0.08 (e) -0.064\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 1)*(-28 - 12 - 7)*(3*u - 3*u - 9*u) in the form w + s*u and give s.\nAnswer: -846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11719*y - 10944*y + 22650*y.\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5005443 (base 7) in base 5?\nAnswer: -122341222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + y - 10. Let r(n) = 2*n**2 + n - 9. Give 3*q(l) - 4*r(l).\nAnswer: -2*l**2 - l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 411*r = 410*r - 8, -2*d + 13 = -3*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 114, 396, 836, 1410, 2094, 2864?\n\"Answer: -4*f**3 + 103*f**2 + f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x = -13*x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 31413311 (base 6) to base 7\nAnswer: 10550062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4201794 is divided by 123582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -821*d - 552*d + 1372*d - 15.\nAnswer: -d - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17060034 divided by 5686678?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*d - 19. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -421*b**3 + 124*b**3 + 16*b - 180*b**3 - 18*b to h*b + v*b**2 + t + r*b**3 and give r.\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -28. Suppose -2*b + a = 8. Suppose 4*l = v + 21, -l + 2*v + 22 = 2*l. Solve o = -l*k + 24, 9 = b*k - k + o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 4. Let f be -3*m\/((-27)\/12). Suppose 5*p - o - 28 = 2, -4*p + 15 = o. Sort p, f, 4 in ascending order.\nAnswer: f, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41654238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = -5. Let y(v) = -v**3 + 6*v**2 + 4*v - 2. Let p be y(6). Let t be 18\/p + (-1)\/1. Which is the smallest value? (a) t (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 + 569240*a\/3 + 40504272200\/3.\nAnswer: 2*(a + 142310)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) 16.86 (c) -125 (d) 0.1 (e) 2\/15 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 135375934187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 634.0334 - 608. Let h = n + 8.96276. Let p = h - 35. Round p to 4 decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02191 - -1.52191. Let j = -1241\/10 + 124. What is the second smallest value in g, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118135.35 months to decades.\nAnswer: 984.46125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i - 6*i - i + 3*i. Suppose 0 = -4*u + 3*x + 14708, -4*u + 19*x + 14700 = 18*x. Let h(d) = -1841*d - 1842*d + u*d. What is h(g(y))?\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 933899700 - 933899700 + 571*g**2.\nAnswer: 571*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 541223?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 7*v + 4. Let r be w(7). Solve 4*p = 4*c + 32, r*p - 2*c = 3*p + 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 + 62*j + 5. Let i(b) = 5*b**2 + 93*b + 8. Determine -5*i(o) + 8*z(o).\nAnswer: -o**2 + 31*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 19, 0.3, 1 in increasing order.\nAnswer: 0.2, 0.3, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 56 = -18*k. Let h = -6 - -11. Suppose 5 = 3*n - 4*f, f + 1 = 2*n - n. Put h, k, n in increasing order.\nAnswer: n, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/5))**(-1)*j\/(j*j**1)*j\/j**14)**(-1\/3))**18 assuming j is positive.\nAnswer: j**(426\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(1900) - sqrt(1900)) + sqrt(1900) + sqrt(1900))*4 + 3*(1 + sqrt(1900)) + sqrt(1900))**2.\nAnswer: -240*sqrt(19) + 273601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2813 and 60407.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (0\/(5 - 3))\/1. Put d, -2, -5 in increasing order.\nAnswer: -5, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1917027 and -0.5.\nAnswer: -1917027.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.2. Let j = 0.1 + f. Let u = 2.97 - -0.03. Which is the third biggest value? (a) u (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -14, -3 in descending order.\nAnswer: 2, 1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 7. Suppose 4*h = 0, 0 = -5*j + 3*h + 3 - 23. Let i = x - j. Calculate the least common multiple of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 4*a = -3*q, 6*a + 14 = -2*q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24962 divided by -4598.\nAnswer: -12481\/2299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 22 - 11 = 5*z, 2*z = -3*w - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/7 - (8\/(-10) + (-2312)\/(-7140)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 37248.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103 - -105. Suppose -4*z = 11 + 9. Sort -1, z, h.\nAnswer: z, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - 8. Let u = -26 - z. Solve -2*n - 2*o + 9 + 1 = 0, -4*n - u = -3*o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 3*m - 5. Suppose 2*w - 4*w = -2. Let u(l) = 4*l + 1. Let y be u(w). Suppose -y*i = 16 + 4. Give s(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*n - 0. Suppose 0 = n*p - 3 - 3, 5*i - 94 = 2*p. Let l be (-5)\/1*(-2 - -1). Solve l*r + i = -2*c, 5 = -c - 0*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-21))\/(5\/(-15)). Which is the closest to -1\/26? (a) s (b) -0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 25.000031. What is o rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) -1\/5 (c) 21486\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t + 17*t + 21*t - 70*t + 14*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4274?\nAnswer: 2, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -534*d - 5. Let f(p) = 4*p + 4. Let w(y) = f(y) - t(y). Let j be (-1 - 1)*(-2)\/1. Is w(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4444636050?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 438\/13 at most as big as 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -80, -154, -268, -422?\n\"Answer: -20*s**2 - 14*s - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -5*c + 3*i, 2*c - 4*c + 2*i + 36 = 0. Suppose -2*p + c = -2*a + 109, -a + 3*p = -35. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1539))**2 + (sqrt(19) + (sqrt(95)\/sqrt(5))**2)*2.\nAnswer: -7657 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 73 - 241 = 0. Is 47 a factor of 3960\/l - 6\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.025 (b) 4\/3 (c) -0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 11*z**3 - 5*z. Let c(n) = 22*n**3 - 10*n. Let d(v) = -6*c(v) + 11*y(v). Find the second derivative of d(f) wrt f.\nAnswer: -66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130334*f*o**2 + 2424*f + o**2 - 62*o wrt o.\nAnswer: -260668*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -7 + (-9 - -11).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -66 - -3 - (3 + (1 - (-9 + 19)))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/8)\/(5\/20). Suppose -g - 3*t - 11 = -6*t, 0 = t - 4. Let c = g + q. Does c = 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 54 + 2*w**2 - 54. Let h(b) = -4*b**2. Give h(c(v)).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5533472*f**3 + f**2 + 3567855.\nAnswer: 33200832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35134730.\nAnswer: 2, 5, 83, 42331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-104)\/(-5941)) + 10 + (-2)\/8. Solve 27*i - 65 = a for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 2*q**3\/3 - 13*q**2\/2 - 102*q - 144. Find the first derivative of h(o) wrt o.\nAnswer: 4*o - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 125, 162, 239, 350, 489, 650?\n\"Answer: -f**3 + 26*f**2 - 34*f + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b**3 + 335*b**2 - 5*b - 11. Let q(r) = -5*r**3 + 325*r**2 - 4*r - 9. Give -3*a(j) + 4*q(j).\nAnswer: -2*j**3 + 295*j**2 - j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -10*u + 36. Let z be 4\/10 + 52\/20 + -15. Is s(z) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 12, -1 in decreasing order.\nAnswer: 12, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1528, 2.25, -8?\nAnswer: -1528","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2315?\nAnswer: 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*h - x - 9, -5*h + 2*x + 18 = 0. Suppose 38 = 5*y - 4*l, h*l = 4*y + l - 31. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - -1 - 0 - 2. Let x = 2 - l. Suppose -5*v + v = -8. Put v, x, 3 in increasing order.\nAnswer: x, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 + (-1)\/(-1). Let o = -8.04 - -0.04. Let y = 6 + o. Which is the closest to z? (a) 1 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4993717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534 is divided by 139?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1314\/91 + 100\/7. What is the fourth smallest value in u, -4\/7, 1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/1 - 30\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/10 of a day?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/9? (a) 10 (b) 3 (c) 5 (d) -4\/3 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 + 3*t**2 - 125 + t + 247.\nAnswer: -2*t**2 + t + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - x = -4*q + 711, 3*x - 522 = -3*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106666 (base 7) to base 16\nAnswer: 4b07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1368 and 273144?\nAnswer: 819432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1746 - -1745. Let b = -9\/89 + 982\/10591. Is b equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13420544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from {j: 5, l: 2, z: 8}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25201 and 2103849?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136337442 and 1116.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, c: 1, m: 3, l: 2, b: 3, r: 4}. Give prob of sequence mml.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/126 and -47\/48?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026119 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00052198 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -432 - -4261. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 2*r + 5. Suppose 0*h - 6 = 2*h. Let n be c(h). Suppose q - n = 2*q. Sort -1, 2, q in decreasing order.\nAnswer: 2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*((2 + sqrt(3888)*-2 - -2*sqrt(3888)*-1) + 5)*3)**2.\nAnswer: -668736*sqrt(3) + 20172033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/600)\/((-6)\/(-10))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 0*k**4 + 0*k + 0 + 1\/180*k**6 - 1\/60*k**5 + 2*k**2 + 1\/3*k**3. Let y(w) be the first derivative of g(w). Factor y(d).\nAnswer: 2*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4928 and 4312?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 15*j - 27. Let x be 11\/(66\/12) - (-100 + 2). Let m = x - 92. What are the prime factors of f(m)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545.474 nanometers to kilometers.\nAnswer: 0.000000000545474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37)\/(-222))\/(4\/(-6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p - 14*p**2 + 20*p.\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7*n + 20. Suppose -2*c - 3*z - n = -1, 0 = c + 2*z + 2. Suppose 30 = 3*q - c*q. Solve -i = i - q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7736282cm in micrometers?\nAnswer: 7736.282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5651442, -5651432, -5651412, -5651382, -5651342?\n\"Answer: 5*o**2 - 5*o - 5651442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -85 and -337\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2 - (-18)\/4. Suppose i - 17 = -3*l, 0*i + x*l = 3*i + 9. Suppose i*y + 370000 = y. What is y rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bssy when four letters picked without replacement from {m: 1, b: 2, s: 6, y: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*f + 54*f + 40*f - 65*f.\nAnswer: 217*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 5*m, -112 = 2*d + 2*m - 96 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10461, -10981, -11421, -11787, -12085, -12321, -12501, -12631?\nAnswer: -12717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 998, 1002, 1010, 1022, 1038, 1058?\nAnswer: 1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4701180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 4*h - 32. Suppose 236 - 44 = 4*a. Let r = a + -35. Calculate the remainder when r is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 2:46 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 2)*3\/(9\/6). Suppose 3*k + k = 0. Sort -0.5, k, 2\/9, u in decreasing order.\nAnswer: 2\/9, k, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f. Let v(a) = -1 + 292*a**2 - 9*a**2 - 730*a**2. What is t(v(l))?\nAnswer: 447*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 161 + -2?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 1530 = -558. List the prime factors of y.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4 + (sqrt(5) - (2 + sqrt(5))))*-3)**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9532 is divided by 142.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 70*p**2. Let x(s) be the first derivative of 2*s**2 - 816. Give z(x(i)).\nAnswer: 1120*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t = -163*t - 1635 + 403 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11131676117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3862 is divided by 130?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**4 - 822*f**3 + 3221 - 710*f - 757*f - 3221 - 383*f**3 wrt f.\nAnswer: 12*f**2 - 7230*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3747 is divided by 1865.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39072*c**5 + 2*c**4 - c**3 + 718*c + 261 wrt c.\nAnswer: -781440*c**3 + 24*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r - 1. What is the remainder when 30 is divided by l(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -527, 16 in decreasing order.\nAnswer: 16, 2\/3, -527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)\/(sqrt(12) - sqrt(108)*6) + -3)*3*5)**2.\nAnswer: 1350*sqrt(17)\/17 + 34650\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 6:13 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 1, g: 3, h: 1, u: 6}. What is prob of picking 1 q and 1 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3051175 and 254.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxzzzzzzzxzzzizzz. Give prob of sequence ix.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21378\/(-1527)*(-1)\/(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -48, 36, 170, 348, 564, 812, 1086, 1380?\n\"Answer: -f**3 + 31*f**2 - 2*f - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 34423?\nAnswer: 34424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to -18573\/5711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*y + 25790, 4*s = -23*y + 19*y + 20656. Calculate the highest common divisor of y and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**2\/3 - 213396050*m\/3 + 2276893707780125\/3 = 0.\nAnswer: 21339605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -r. Suppose -3*p - 20 = -r*f, 0*f + 25 = 5*f - 2*p. Solve f*d = -4 - 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-6 - -8) + -253)\/((-4)\/44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 415 divide 42713364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 41, 158, 399, 806, 1421, 2286?\nAnswer: 3443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 - -145. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*((((sqrt(76) - (sqrt(76) + -2)*3) + sqrt(76) + sqrt(76) - sqrt(76))*4)**2 + ((sqrt(76) + 6*(sqrt(76) + 1))*3)**2).\nAnswer: 5640*sqrt(19) + 178165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n = 62*n - 349986. What are the prime factors of n?\nAnswer: 2, 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*q - 1 = -0*q, 5*q = 0. Is (r\/(-3))\/(11\/(-5478)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3565*g**2 + 12*g. Let q(u) = -4*u. Determine a(q(l)).\nAnswer: 57040*l**2 - 48*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1751610610?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 811035 and 2565765.\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 2885239917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-527)\/2635)\/(-2 - -3 - (-172)\/(-170)). Solve 12*d = -5*d + g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 = 4*t - 5, -12 = -5*t + h. Let y be 25 - (1 + t - 1). Let d = -20 + y. Solve d*l = -5 + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -s - s. Suppose -1 = -r + 2. Suppose r = 2*n - 17. What is the highest common divisor of s and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i - 7*i - 2 + 4 - i**2. Let j be o(0). Suppose -2*p = -b + 11, b + p - 1 = -j. Solve -3*k - 5*d = -37, 0 = k + 4*k - b*d - 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78223785 divided by 15644757\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58160 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 19 - -10 - -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/25 and -53\/215?\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -433163.0000096 + 433145. Let m = 19.5087 + -1.5087. Let i = m + l. What is i rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 6 = 7*y. Suppose 0 = -y*h - 10 - 20. Is ((-249)\/6)\/1*h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 15*d**2 + 24*d + 39. What is k(-3)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1292210 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 6*j - 4*j + 3*s, 15 = -5*j - 5*s. Suppose -2*k + 0*k = j. Let q be 4\/(-6) - 68\/(-12). Sort k, -2, q.\nAnswer: -2, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100 - -11001011110?\nAnswer: 11011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1494 and -118.501.\nAnswer: -118.6504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116048365 is divided by 1111?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 6:27 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 885 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 13 - 59. Let y be (78\/(-8))\/(-13) - (-211)\/(-4). Let g = j - y. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1970\/(-22655)*23\/6*9*2\/(-92).\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-8) + 13\/4. Suppose -4*r + 68 = 4*u, -30 - 17 = -q*u - 5*r. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 30*h**2 - 1649728 - 1649728 + 3299456.\nAnswer: -29*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1668 - -1766) + (1 - -1) + -4\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 2\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/41, -0.5, 449, 1.\nAnswer: -0.5, -5\/41, 1, 449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*s**3\/4 + 20*s**2 + 25*s\/4.\nAnswer: 5*s*(s + 5)*(3*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 460\/50 + -13 - 7\/(35\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + 1 + -58 + 19 + (2 - 0) + -79.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98207?\nAnswer: 98207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*s = -623 - 421 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 27*r - 1. Let z(g) = 3*g**2. Give w(z(i)).\nAnswer: 81*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 95*b - b**2 + 103*b + 83*b - 276*b.\nAnswer: b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 69 - 237 = 0. Calculate the remainder when a is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 11*s - 3. Let v = 6 - 1. Let y be z(v). What is the tens digit of (-1)\/(-2) - y\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -286, -686, -1254, -1990, -2894?\nAnswer: -3966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 110020000?\nAnswer: 110020001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 3*i**2 + 5*i - 4. Let o be g(5). What are the prime factors of 0\/(3 + -2) - o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 237 - 119 - 117 + 5*l**2 - 4*l**3 in the form q + a*l**2 + t*l + z*l**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -163 + 139. Let t(a) = 8*a + i*a**2 - 10 - a**2 + 5*a**2 - 7*a**2 - 6*a. Calculate t(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -969636, -1939836, -2910036, -3880236?\n\"Answer: -970200*f + 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 47433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**4 + 4098*y**3 - 672663*y**2 - 676758*y = 0. Calculate y.\nAnswer: -1514, -1, 0, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -214. Suppose 3*s = -z + 292, -z - 23 = -2*s + d. What are the prime factors of -4 - 110\/(-25) - s\/(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 66 + (-73 - -65)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -w, 11*a - 5*w - 10 + 7 + 1 - 47 = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-22) - (-10)\/55. Suppose t = -7*i + 4*i + 12. Solve i*n + 18 = -4*j + 3*j, n = 4*j - 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 11 = -5*h. Suppose h*x = 6*x. Suppose -3*u - u + 16 = 0, 5*n = -4*u + 26. Solve x = 4*m - 4*o + 28, 4*o + 1 = -n*m + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -1.2. Let y be (7 - 3)\/4 + 3. What is the closest to 1\/4 in 0, y, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (67 - -801)\/(-62)*93\/(-21)*1\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*j + 2839871 - 782669 = 0. What is the remainder when j is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -446.45224 rounded to 0 decimal places?\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 866.35879 to zero decimal places.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -41*b. Let o(y) = -14*y**2 + 4*y. Calculate g(o(k)).\nAnswer: 574*k**2 - 164*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 13*i + 2. Let q be c(-13). Suppose -17 = -2*s - 3*x, -4*s + 14 = q*x - 8. Solve -4*j + s + 0 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -234812, -234850, -234888?\n\"Answer: -38*a - 234774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8541665*q**4 + 100*q + 48686?\nAnswer: 102499980*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5530196 is divided by 73.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k + 17. Let w(o) = o. Let f(m) = -m. Let h(b) = -5*f(b) - 6*w(b). Let p(d) = 3*h(d) + u(d). Calculate the remainder when 11 is divided by p(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2011012010 (base 3) to base 11\nAnswer: -29964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.02 + -105.38. Let y = -98 - f. Let n = y - -25.1. What is n rounded to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzi when three letters picked without replacement from {h: 1, r: 2, i: 1, z: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7583\/52 + 1964\/13. Factor -3\/4*k**2 - q*k + 0.\nAnswer: -3*k*(k + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) -5 (c) 0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*t, -a - 2*a = -5*t - 1800 + 1825 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 + 5*q**2 - 3*q**3)*(0*q**2 + 0*q**2 - 3*q**2) - 2*q**5 + 3*q**5 + 0*q**5 + (3 + q - 3)*(q**4 - 2*q**4 + 2*q**4) + q**5 + 5*q**5 - 5*q**5.\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29ad684 + 4?\nAnswer: 29ad688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -9\/4*x**3 + 9\/4*x - 3\/4*x**2 - 3\/4*x**4 + 3\/2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102770 and 22315430.\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.08, 263, -0.4 in descending order.\nAnswer: 263, 0.08, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/32)\/(l\/l**(-1\/29))*l**(3\/20)\/(l\/(l\/((l*l**(-12)*l)\/l))) assuming l is positive.\nAnswer: l**(46791\/4640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 + 0*k**3 - k**3)*(-248 - 230 + 51).\nAnswer: 427*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {o: 4, c: 3, n: 1, k: 8, w: 2, g: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*x - 2*x. Suppose -x*n = -4*j + 119, -3*n = -j - 7*n + 14. Let b = 40 - j. What is the highest common factor of 28 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r - 5. Let n be g(4). Suppose 3*w - 3*y = -3, 1 = 5*w - 2*y + n. What is the second derivative of -30*t**2 + w*t + t + 26*t**2 wrt t?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 12) + 7 + -774. Let g be ((-41)\/t)\/((-2)\/(-4)). Is g != 1.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 71?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*v**2 - 65 + 427 + 39*v**2)*(2*v - 3*v + 0*v).\nAnswer: v**3 - 362*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -1, -2 in increasing order.\nAnswer: -24, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**2 - 12*a - 29. What is u(-5)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2736) + (sqrt(2736) + -1 - sqrt(2736)))*-2 + -2)**2.\nAnswer: -576*sqrt(19) + 43812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.658641577 to 2 decimal places.\nAnswer: -1.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12653119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51673848767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f. Let h = -19 + 31. Let p(m) = -2 - 10 + h + 2*m**2. Give q(p(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d - 41. Let f be x(5). Let u(b) = -1. Let v(k) = -k - 7. Calculate f*v(h) + 5*u(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*y - 83*y + 30. Let j be (9\/y)\/((-12)\/(-53008)). Let a = j + -4265. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 14*d + 13 = -9*d, -10 = o - 3*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*u - 6 + 5 - 1 + (6 + 0 - 3)*(-2*u + 6*u - u) to the form g + x*u and give x.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.93859 and -3.\nAnswer: 11.81577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -104?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z - 10*z + 4*z + 22*z**2 to the form k*z + y + h*z**2 and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 2916?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-6)*r**(1\/31)*(r\/r**(5\/11))\/(r**27*r) assuming r is positive.\nAnswer: r**(-11397\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -593 = -9*q + 244. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 895104 and 55296?\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5316*z**3 - 18*z**2 - 3308. Let t(g) = -2*g**3 - 3*g**2 - 1. Let w(i) = 6*t(i) - u(i). What is the first derivative of w(v) wrt v?\nAnswer: -15984*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*t + 3*p + 175, -100*p + 40 = 3*t - 102*p for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12730513 - 0?\nAnswer: 12730513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2644*d = -2959*d - 12600 for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -750936?\nAnswer: -750936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33 - 110503b?\nAnswer: -1105008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 2*y**2 + 2*y - 2. Let b be t(4). Let k = b + 29. Let i(w) = -w**2 + 5*w - 5. What is the units digit of i(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/5 and 1\/16884032.\nAnswer: 84420160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*l - 124. Solve -q + 18 = l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -120 (c) -26\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1622 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 5. Let v = 8 + h. Suppose 0 = 5*r - 2*r + 12. Sort r, v, -5 in increasing order.\nAnswer: -5, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o - 532. Let w(y) = 382*y - 11. Let x(m) = 139*m - 4. Let g(k) = -4*w(k) + 11*x(k). Determine g(c(j)).\nAnswer: -2*j - 532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 296, -4, 2, -1 in decreasing order.\nAnswer: 296, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 10 + 36 - 150*b**2 - 14 as u*b + q + l*b**2 and give l.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 19. Suppose -15 + 0 = l*r. List the prime factors of (2 + (r - 0))\/(-1)*139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*v**2\/2 - 109*v - 80.\nAnswer: -(v + 16)*(13*v + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*m**2*r**2 - 2*m**2*r + 103*m**2 + 2*m*r**2 + 3*m + 3*r**2 + r wrt m?\nAnswer: -12*r**2 - 4*r + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -0.5. Let i = 3519\/4 + -38717\/44. Let o = 2.98 - 3. Which is the biggest value? (a) o (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 406208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -476, 22\/3, 0.03, 1, 17 in ascending order.\nAnswer: -476, -5, 0.03, 1, 4, 22\/3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 12*h**2 - 20*h + 2. Let p be i(10). Suppose -3*s + 7 = o, p*s + s = o - 1. Which is the biggest value? (a) 5 (b) o (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + 0 - (-53 + 43)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*p**5 + 106*p**3 + 2*p**2 - p - 738 wrt p?\nAnswer: -120*p**3 + 636*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 1 = -3*w + 4, w - 7 = -n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -2.684?\nAnswer: -7.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five fourteenths of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78ab2 (base 15) to base 10.\nAnswer: 383792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -177311.\nAnswer: -177318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.596275825 plus 6.2?\nAnswer: 18.796275825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 408*t*x**4 + 2*t*x**3 - 603*t with respect to x.\nAnswer: 1632*t*x**3 + 6*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -27 (c) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-13)\/((-169)\/91).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**2\/5 - 936*s\/5 - 2826\/5 = 0.\nAnswer: -3, 471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(7)*-1*2.\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, 754.6, 0.3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1922669 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 5:55 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52413 smaller than 52193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -183 - -186. What is the second derivative of -38*u + 9 - 28*u + 7*u**3 + 23*u**j + 68*u wrt u?\nAnswer: 180*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191108 >= 35355152\/185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m. Let q(c) = 5729859*c. Determine i(q(d)).\nAnswer: 45838872*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**2 - 1. Calculate the least common multiple of q(1) and (-6 - -4)\/((-4)\/14).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**4 + 4*y**4 - y**4)*(2 + 0 - 4) - 1552*y**3 + 27 + 3*y**4 + 1552*y**3 as l*y**3 + d*y**2 + h*y + q*y**4 + j and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -17181.\nAnswer: 1\/5727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456\/1482*104\/18.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from yuuuuuuuuyu.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228726 > 1228717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -2*sqrt(99) - (-5 + 0 + sqrt(11)))**2.\nAnswer: -40*sqrt(11) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) 3\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8 = -5*j, -2 = 2*j - 6. Which is bigger: z or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*24192\/(-504).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + 0)*1)**2 + (sqrt(3) + (sqrt(432) + 1)**2)*-5.\nAnswer: -1802 - 125*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - n - 4*n)*(0*n**4 + n**4 + 0*n**4) - 43*n - 9066*n**5 + 3 + 9069*n**5 - 6*n.\nAnswer: -5*n**5 - 49*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 4*i - 12. Suppose -2*b - 3*r = 31, 0 = -2*b + 3*r - 1 - 0. Let h = -1 + b. What are the prime factors of u(h)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 108 + -754\/7. Suppose 2*u + 11 = 9. Which is smaller: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 36\/(-24) + 29\/6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-2))\/(3\/6). Suppose 98 = 5*p + k*m + 8, -3*m + 90 = 5*p. Suppose -14 = -4*n + p. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3994497124.\nAnswer: 2, 23, 43418447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-707896\nAnswer: -141579.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -339*u + 342*u - 3, 2*v = -u + 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(700) + sqrt(700))*1.\nAnswer: 1 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1307248666 to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28\/6*(2 + 1) - (330 + -326). Which is the closest to 1\/3? (a) t (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -569544 divided by -6.\nAnswer: 94924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1241 (base 5) to base 16.\nAnswer: -c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 9*l**2 - 2*l - 2. Let d be b(-9). Let c = 147 - -197. Suppose -d*w + c = -8*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 79 in -5, -8\/5, 0.5, -3868?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u - 5. Let o(r) = -5*r + 7. Let s(i) = 5*o(i) + 7*p(i). What is the tens digit of s(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7835691 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 289 + -306. Let d be (1\/2)\/((-2)\/(-80)). Let u = z + d. Let v(o) = -o - 1. Calculate v(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -365899 rounded to the nearest one thousand?\nAnswer: -366000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.234 + -0.034. Which is the nearest to 1? (a) 8 (b) -3\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -299\/66 - -48\/11. Put -0.5, k, 2, -0.02 in decreasing order.\nAnswer: 2, -0.02, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - i + 7606796 = 0, n = -530*i + 526*i - 1901716. What is n rounded to the nearest 10000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b0154 (base 15) to base 6\nAnswer: -44115054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3*(sqrt(77) + (sqrt(77) - -2*sqrt(77)*4) - sqrt(77))*-4)\/(sqrt(567) + -6*sqrt(567)*-2 - -3*(sqrt(567) + (sqrt(567) - sqrt(567)*-2))))**2.\nAnswer: -96*sqrt(11)\/25 + 11584\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*a = -146*a + 70*a - 96*a - 14949 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l - 10*l - 298*q = 4*l - 294*q - 110, 7*l + 2*q + 192 = 0 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.08 (b) -3 (c) -92 (d) 0.3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48422 + 26147839\/540. What is the common denominator of 55\/144 and q?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 168 + -170. Sort g, 10, 1\/3, 0.5 in decreasing order.\nAnswer: 10, 0.5, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 3*a - 2. Suppose 0 = -2*x - 0*x + 3*z - 39, 2*x = -z - 27. Is w(x) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or 1174917613?\nAnswer: 1174917613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1329163, 1329143, 1329121, 1329103, 1329095, 1329103, 1329133, 1329191?\n\"Answer: u**3 - 7*u**2 - 6*u + 1329175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 6:28 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 17*s + 2. Calculate g(-8).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80.6 + -71.6. Let p be 17\/6 + -2 + -1. Put o, p, 0 in decreasing order.\nAnswer: o, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 10*t**3 - 3*t**3 - 2*t**3 - 3*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23369980 or -23369983?\nAnswer: -23369980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -161 divided by -1\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 78*x**2 - 44*x + 15854. Give h(-81).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -42365 less than 9694222?\nAnswer: 9736587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*o - 2*t, -4*o + 3*t = -2*t + 37. Let u be ((-4)\/(-26) - (-63)\/13) + o. Which is the third smallest value? (a) 9 (b) 2\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s**(1\/3)*s))**(1\/5)\/(s*s\/(s\/(s**(-1\/3)*s))*s*s*s**(-3\/5)) assuming s is positive.\nAnswer: s**(-53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**3\/13 + 298*m**2\/13 - 880*m + 10088 = 0.\nAnswer: 26, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 2*p + 10 - 34, 0 = m + 3*p - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 23*g**2 - 19*g - 28. Suppose -3*z = -2*o + 10, o - 5*o = -z - 10. What is the remainder when x(22) is divided by (-279)\/(-21) - o\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*n**3\/7 + 76*n**2\/7 - 44*n\/7 - 12\/7.\nAnswer: -4*(n - 3)*(n - 1)*(5*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 162574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7308205 is divided by 1827038?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 626494, 1252989, 1879486, 2505985, 3132486, 3758989?\n\"Answer: q**2 + 626492*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35962524.\nAnswer: 2, 3, 13, 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-14))\/(36\/(-252))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*x + 11. Suppose 0 = x*b - 61 - 7. Factor -b*j**5 + 2*j**3 - 8*j**3 - 2*j + 20*j**5 + 5*j.\nAnswer: 3*j*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 2191244?\nAnswer: -2191243.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y**2. Let z(x) = 5*x**2 - 4*x - 2. Let s(j) = 20*j**2 - 18*j - 9. Let k(c) = -2*s(c) + 9*z(c). What is g(k(u))?\nAnswer: -150*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -111000111011 (base 2) to base 13\nAnswer: -1873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 16709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*s = -2*s + 334, -3*s = 2*j - 158. Suppose l + 148 = 3*t + 2*l, 2*t + 4*l = j. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.71728 years in centuries?\nAnswer: 0.3371728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x**3 - 3*x**2 - x - 1. Let g be p(-2). Suppose -6 = -2*i - 0. Suppose 2*l = i*l - g. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - q + 6. Suppose -2*y - 3 + 1 = 0. Put -3, y, q in decreasing order.\nAnswer: y, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -1. Suppose -s - q*s = -25. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a - 33. Let g = -193 + 170. What is the remainder when b(g) is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 1. Let d(s) be the second derivative of -s**4\/3 - 3*s**2 + 6*s. Determine 3*d(v) + 14*x(v).\nAnswer: 2*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1382.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29483674 is divided by 729.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -203 - -246. Let t = 42.5 - i. Let s be 6\/21 + 18\/(-14). Which is the nearest to s? (a) 11 (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 6, 9*k - 12*k + 5*o = 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 + 3 + (-14)\/2. Let s(c) = c**3 + 13*c**2 + 7*c - 13. Let f(z) = z**2 + z + 4. What is the remainder when s(d) is divided by f(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*o - 396*o = 108 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/10? (a) -2 (b) -4 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**2\/7 + 71*q = 0.\nAnswer: 0, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + j + 16. Let m be (48\/9)\/(-4)*-3. Suppose m*s - 5*r + 10 = 0, -5*s + 6 = 3*r - 0. Is s >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g\/(g*g\/(g**(2\/9)*g))))*g**9\/g*(g\/(g**(-3\/14)\/g))**(7\/3))**(1\/4) assuming g is positive.\nAnswer: g**(223\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 272.0388 millennia in months?\nAnswer: 3264465.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = r - 35 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -23. Let v = 9.9 - j. Are v and -5\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (10 - 14 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2)\/g)\/g*(((g*g**(1\/11)\/g)\/g)\/g)\/g)\/((g*g**3)\/g**(1\/2)))**(-8\/5) assuming g is positive.\nAnswer: g**(916\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 9*i + 4. Let d be (7\/4)\/7*36. Let b(c) = -12*c**3 - 2*c**2 - 4*c - 3. What is the smallest common multiple of b(-1) and k(d)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 8, -0.5, 10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100101100011110000 + -10011?\nAnswer: -10100101100100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 5:45 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261032728 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 4. Let d be m(3). Does 7 divide (3 + -1)\/((-4)\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**2*n**2*u**3 + 88*g**2*n*u**2 + 13*g**2 - 24*g*n**2*u**2 + 304881*g*u**3 wrt u.\nAnswer: 24*g**2*n**2 + 1829286*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 8*w**2 + 2*w + 18. Let i be c(-8). Solve -4 = b, i*u + 0 = 3*b + 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*l + 4*m + 4 = 216*l, -5*m = 6*l + 34 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 15*z**3 - 16*z**2 + 3*z - 7. Let v(l) be the third derivative of -l**6\/12 + 11*l**5\/60 - l**4\/12 + 5*l**3\/6 + 2243*l**2. Give 5*j(w) + 7*v(w).\nAnswer: 5*w**3 - 3*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1419 + 5.8581. What is the third smallest value in -2\/181, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11941131*p**4 - 108081199*p**2 wrt p.\nAnswer: 286587144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 4. Let m be l(-2). Suppose 0 = 3*q - 6, -m*z + 3*q + 15 = -1. Let h(r) = -374*r + 14. Let g be h(z). Round g to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**4 - 3955*g**3 - 530600*g**2 - 526640*g = 0.\nAnswer: -116, -1, 0, 908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 10*w**2. Suppose -4*q = -l - 8*q, -12 = -2*l + 4*q. Let t(u) = l*u**2 - 2*u**2 - 3*u + 3*u. Calculate t(a(m)).\nAnswer: 200*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 97 in decreasing order.\nAnswer: 97, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4*-4*2\/18?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -1\/5, 0.4, 0, 7.2?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -4. Suppose w*s - 3*s - 17 = 0. Solve 2*b + z + 12 = 2*z, -3*b = -z + s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 4*r**3\/3 + 4*r**2 - 4*r - 541. Let o = 10 + -2. Is 54 a factor of a(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15544, -15662, -15858, -16132, -16484, -16914?\nAnswer: -17422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/144*(-74)\/(-20). Let p = 13\/20 - w. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-1) + (-4)\/(-1). Let y(w) = 2*w**3 - 2*w - 3. Let n be y(b). Suppose -m + n = 4*m. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-193)\/15 + (-4)\/30. Let y = 17 + l. Solve 0 = w - 3*n - 10, -3 = y*w - n + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 20255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from zgidzinyiziii?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = m + 2771, -4*n + 0*m - 5*m + 2777 = 0. Differentiate -20*z**2 + z**4 + 721 + n - 1245 wrt z.\nAnswer: 4*z**3 - 40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (15 - 1) - (-49 - (60 - 161)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 4*u - 9. Let r be c(6). Suppose r*l = 3*n - 375, 4*n - 211 - 304 = l. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 x when three letters picked without replacement from {x: 2, o: 4, v: 1, k: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -91, -7, 1 in increasing order.\nAnswer: -91, -7, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*u - w + 3*w, 5*w = 2*u - 54. Calculate the remainder when 87 is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + t = 30961, 6*t - 2*t = 16. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*r + 3*r. Let t be (-12)\/3*r\/(-20). Which is the third biggest value? (a) 5 (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 - (20 + -34 + 20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 30, 47, 64, 81, 98?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-3)*31\/93.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*m. Suppose 0 = -m*l - l. Suppose 7*k - 8*k + 51 = l. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 97784721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3405 (base 12) to base 3\nAnswer: 21220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 8*f**3 - 4. Let p = -17 + 19. What are the prime factors of t(p)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.07 (b) -2\/11 (c) -3\/8 (d) -4\/35 (e) 0.3 (f) -0.2 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 0) + (-64 - (-79 - -38))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 12291000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 697, 5 in descending order.\nAnswer: 697, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4381377\/34 + 128864. Let v = -0.04 + -2.96. Which is the second biggest value? (a) g (b) v (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.037 + 0.337. Which is the nearest to j? (a) -1 (b) 1\/3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*2*sqrt(1539) + -3 + -1*sqrt(1539) + 0 + 1*sqrt(1539)*2)**2*-1.\nAnswer: -124670 + 486*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 199*m**2 + 8*m + 167. What is the remainder when d(1) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 2, -9, -20, -31, -42?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/7 and -49\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1482 + 6786. Is 136 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*a + 252 = -460*a + 182*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(0 - -2 - 2). Suppose -40 = -2*u + t - 0*t, -5*u + 2*t + 98 = f. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(16\/(-188))*349. Let t = r - 30303. What is t rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millennium in centuries?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 + 317 + -37 + -4?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 at most as big as 240\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 + 1600 = 4*b. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.28*-18314.4\nAnswer: -5128.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/11322 and -52\/111.\nAnswer: 11322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3 = t, -5*n + 2*t - 132 + 141 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 + -92. Calculate the remainder when 24 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.9 + 8.9. What is the third biggest value in 1\/4, 0.1, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/1 - (0 + 90). Suppose -2*c = -5*c - 9, -5*b - 5*c = 495. Let v = b - t. Put v, 7, -2\/7 in descending order.\nAnswer: 7, -2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12157, -572 in ascending order.\nAnswer: -12157, -572, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 30*c - 206. Let n(t) = t**2 + 58*t + 748. Let d be n(-39). Give i(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 52086\/495*18 + 12\/20. Let d = -1898 + k. What is the common denominator of -38 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 + 75 = -5*x. What is the smallest common multiple of 30 and x?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4442822058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375888 and 382.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 20 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -3 + 3 + -1091. Is (6\/(-8) - c\/12) + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1760 = 420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.357 to one dp.\nAnswer: 21.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 - 3*t**2 + t - 1. Let i be l(2). Suppose -2*u + i*u = -114. Is (u\/4)\/((-19)\/1178) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*5 - 15785\/770)*12\/(-8).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25540342*u**3 + 13950906*u**2 wrt u.\nAnswer: 153242052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2. Let a(q) = -q - 2. Give 5*a(u) + 6*z(u).\nAnswer: -5*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.114?\nAnswer: 0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14 + 26 = -5*u, -2*u = 6. Let g = p - 1. Factor -4*f**3 + 0*f**3 - 2*f**5 + 0*f**5 + g*f**5 + 2*f.\nAnswer: 2*f*(f - 1)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-804)\/(-1407))\/(12\/(-14)). Sort -9, -4, r, -1, 2\/3 in decreasing order.\nAnswer: 2\/3, r, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 40. Let z = 12.0049 + n. What is z rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 6*p**2 + 2*p**2 + (-7*p + 3*p + 2*p)*(0*p + p - 2*p) + 0*p + p**2 + 0*p + (-2*p - 3 + 3)*(1 - 1 - p) - 4*p**2 - p**2 + p**2)*(p - 2*p**2 - p).\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 59*v + 616. Determine c(-15).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = w - 1. Suppose 0 = 3*g - 5*g - w. Put 2, -4, g in increasing order.\nAnswer: g, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18, -20, -22, -24, -26, -28?\n\"Answer: -2*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 201385333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 13265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2472 and 1*(-6)\/(-1) + (-46)\/(-598)*78?\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000048511129 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -6*q - 179, 12*q - 8*q - 7*k - 108 = -3*k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -176\/3 - -60. Let a = -84.113 + 84. Let l = a - -0.413. What is the closest to 0.2 in l, x, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10 = -6. Suppose g*h - 84 = -4*q, -q + 3*h + 2 = -23. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-2 + 263405\/10220. Let n = 12\/511 - z. Let s = -1\/296 + -331\/592. Find the common denominator of n and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 - 55. Let k(u) = u**2 - 11*u - 78. Let c be k(16). Solve -5*w + 2*b = -2*w + r, -c*b = -4*w - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 255550665.\nAnswer: 1\/255550665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*z = 38 - 3, 4*p + 5*z + 28 = 0. Let o = 7 - p. Suppose o + 0 = 2*t. Solve 4*b + a = 5*b + t, 0 = -b + 3*a - 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 549, 5300, 13207, 24258, 38441, 55744, 76155?\nAnswer: 99662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*l + l. Suppose f - 3*w = -2*f + 111, 5*f - 149 = -l*w. What are the prime factors of 1*(f\/(-1))\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 0*r - 51*r**2 + 213*r**2 - 165*r**2 + 0*r. Let a(n) = -1138*n. What is k(a(s))?\nAnswer: -3885132*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6842687ml?\nAnswer: 0.0006842687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102834 and 24?\nAnswer: 411336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -155406407\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 3*s + 12, -66*p + 3*s = -67*p - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74329.\nAnswer: 239, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*b**3*m**3*n**3 - 60*b**3*m**3*n**2 + b**3*m*n**2 + 26245*b*m**3*n**3 - 11*b*m*n**2 + b*n - 53*m**3*n**2 wrt n.\nAnswer: -54*b**3*m**3 + 157470*b*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*d = 3*u - 21, 0 = -5*u - 4*d + 27. Solve -5*v = -0*b - 2*b - 6, 0 = u*v - 2*b - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/40*(-42 + 2). Let p be (2 - 2)\/(-2) - o. Calculate the greatest common divisor of p and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77017?\nAnswer: 77017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**3 - 349*s**2 - 28*s - 2964. Determine i(70).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 16*q - 26. Let a be r(10). What is the highest common divisor of 98 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b**2 + 11. Let m(f) = -95*f - 102*f + 196*f. Calculate m(r(k)).\nAnswer: 7*k**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*z = -24, -n - 4*z = -2*n + 13. What is the least common multiple of n and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 22 = c - 0*a, -3*c - 9 = 3*a. Suppose 3*k = z - 5 - 3, 0 = 5*k - 3*z + 8. Let t = -28 - -28. Put c, t, k in descending order.\nAnswer: c, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/3 (b) -0.4 (c) -0.2 (d) -192 (e) 5 (f) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-35)\/14*18\/15. Let q be 4\/(-6)*h - 0. Suppose 4*o = q*y - 1894, -2*o + 5*o + 950 = y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -97.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 + 348*d**3 + 360*d**2 - 704*d.\nAnswer: -4*d*(d - 88)*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -6, 0, 415, -1, 3.\nAnswer: -6, -1, 0, 3, 7, 415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 divided by 219?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4 - 2. Suppose -3*n = -4*v - k, 4*v = -0*n - 3*n + 6. Solve v = -5*z - 0*z + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -296 + 452. Calculate the lowest common multiple of z and 8.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 h when three letters picked without replacement from ayyayhypdya?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202120 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271040?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 650128946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.842 + 24.8368859. Round b to four decimal places.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, 15, 0, -105, 4 in decreasing order.\nAnswer: 15, 4, 1, 0, -8, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.176*-0.4\nAnswer: -0.4704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 124?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/4 less than -0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.72 + -7.72. What is the nearest to -1 in v, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1936 - -1007.8064. What is the nearest to f in -1, -4, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/21)\/((-44)\/(-33))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4982685 nanograms in grams?\nAnswer: 0.0000000004982685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242766806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133.4 - 2702. Round k to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = p - 35, -6*p + 3*p - 5*l + 20 = 0. Let s = -13 + p. Factor -4\/5*z + 0 + 2*z**3 + 6\/5*z**s.\nAnswer: 2*z*(z + 1)*(5*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1896*n + 7 - 1896*n - 2*n**2 + 2*n**3 - 2*n**4 in the form d*n**4 + w*n**2 + l + o*n**3 + u*n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 91*c = -k - 383*c + 40, -22 + 3 = 3*k - 4*c + 11 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -39689*y - 476226. Calculate p(-12).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*u**3 + 106*u**3 - 24*u**3 - 11*u**3.\nAnswer: 142*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -424606 - -2077597096\/4893. Find the common denominator of f and 73\/6.\nAnswer: 9786","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 12:07 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -j + m + 13, -m = -3*j - 19 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*l + 4*o, -o + 8 = 3*o. Let t be 69\/(-3)*(l + -1). Let k = -14 + t. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-5))\/(12\/(-120)) - -12. Suppose -24*s + 374 = u - 21*s, 2*u - 738 = -s. Calculate the highest common divisor of x and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-17)*(-44234)\/(-1301).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*z + h - 31322, 5*z - 39147 = h. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 + c - 1. Let h = 123 + -121. Give d(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299987200 to the power of 1\/2, to the nearest integer?\nAnswer: 36055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 69983 = 36*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h**2 - 671*h + 575. Determine n(95).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41266*b**2 - 2 - 41280*b**2 + 2.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1064 and 4517820?\nAnswer: 63249480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2496) + -4*sqrt(2496))\/(-5*sqrt(363)).\nAnswer: 24*sqrt(13)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 9\/166?\nAnswer: 9\/166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 27 and 7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 40.797204.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993392 bigger than 13953736\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-6*((sqrt(833) - (sqrt(833) + -1 + sqrt(833))) + sqrt(833)) - ((sqrt(1700) + 1)*2)**2))*-4.\nAnswer: 320*sqrt(17) + 27260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -11\/12*t**4 + 0*t + 2 + 0*t**3 - 2*t**2. Let q(i) = 2*i**2. What is a(q(s))?\nAnswer: -44*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3*z - 21 = -2*x, -2*z - 96 = 2*x - 110 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -592*h + 5346. Calculate o(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00320947 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 118.077 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11623462 divided by -4\nAnswer: -5811731\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 16*q + 178. Calculate w(-10).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-3))\/(2\/6). Let w be (80\/25)\/(a\/(-10)). Suppose -b - b = -w. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13a (base 11) to base 9\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2. Suppose -v - 4*v + u = -11, u - d = v. Suppose -1475 = -v*x - 2*x - 2*n, -1162 = -4*x + 2*n. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47172547 - 25172547. Suppose 2*c - 2*j = -4*j + 8800000, -3*j = 5*c - l. What is c rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u. Let m(k) = 2*k**2 + 52. Calculate p(m(y)).\nAnswer: 12*y**2 + 312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19686, -39367, -59050, -78735, -98422, -118111?\n\"Answer: -s**2 - 19678*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2)\/g)**(-1\/2))**(-41)\/((g**2)**(-1\/13)*(g\/(g\/(g**(2\/19)*g))*g)\/(((g\/g**2)\/g)\/g)) assuming g is positive.\nAnswer: g**(-35273\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/6)\/(11\/33). Solve u - 25 = -k*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 1:41 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4528054 is divided by 897?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzxp when four letters picked without replacement from {p: 2, z: 4, x: 3, f: 1, y: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2638*s - 2626*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -261*x**4 - 78*x**2 - 58233.\nAnswer: -1044*x**3 - 156*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (482*q + 467*q - 1667*q)*(3*q**2 - 6*q**2 + q**2)*(-2*q + 6*q - 2*q).\nAnswer: 2872*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001035597023 rounded to seven dps?\nAnswer: 0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 569*i**2 - 393*i**2 - 328*i**2 + (i - 3*i + i)*(4*i + i - 2*i) + 2*i**2 + 4*i**2 - 4*i**2.\nAnswer: -153*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 2. Let j(d) = d**3 - d**2 - 5*d + 10. Give j(o) + 2*t(o).\nAnswer: o**3 + o**2 - 5*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 135\/(-54) - (-3)\/(6\/725) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1054*q + 1045*q - 3135*q + 1041*q. Let x(h) be the second derivative of -3*h**4\/4 - h. Calculate x(n(o)).\nAnswer: -225*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 0*t**2 + 3\/5*t**5 + 0*t**4 - 4\/3*t**3 + 0*t - 3. Find the third derivative of z(h) wrt h.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 352 - 328 = -4*h, 100*h + 600 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.624478 rounded to 1 dp?\nAnswer: -9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(304) + -4 - ((sqrt(304) - (0 + sqrt(304) + -4)) + sqrt(304)))**2 + -3 + sqrt(304) + ((sqrt(304) - sqrt(304)*2)*6)**2.\nAnswer: 132*sqrt(19) + 12221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*r - 54*r - 32. Let j be 132\/r - 4\/(-1). Which is the third smallest value? (a) j (b) 1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40001942.\nAnswer: 2, 20000971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2680\/10720)\/(2\/(-12)))\/((-3)\/172*2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10685, -42749, -96189, -171005?\nAnswer: -267197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + w - 1. Let f(y) = -2*y**2 - 6*y + 3. Let m(r) = f(r) + 3*s(r). Let v be m(4). Suppose 0*g + n - 12 = -v*g, 2*g = n. Solve g*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 81763 + 1636?\nAnswer: 83510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(((-5)\/(-55))\/1). Suppose 0 = -s + 3*z - 95, -z = 3*s + 224 + w. What is the units digit of 1*8*(-1580)\/s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 117533, 470181, 1057927, 1880771, 2938713, 4231753, 5759891?\n\"Answer: 117549*c**2 + c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -110000001100 (base 2) to base 11\nAnswer: -2354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - (-15 + (16 - -9)) - 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488085350 to the power of 1\/4, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 46803 and -8529.\nAnswer: 38274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 194 = 247. Let h = 500 + l. What are the prime factors of h?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-5 + 0)\/(-345)). Let l = 140 + v. Calculate the remainder when l is divided by 756\/30 - (-3)\/(-15).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t + 3*n = 25*t - 1947, -3*n = 4*t - 7743. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one halves of a litre in millilitres?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 311 - -277. Suppose 15*i = 8*i + f. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2054965.5 - 0.09.\nAnswer: -2054965.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.6072681 nanograms?\nAnswer: 0.0000006072681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1800) + -1.\nAnswer: 2 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -1687.889?\nAnswer: 1686.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + 0 + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 13*o**2 + 98*o + 396. Calculate the remainder when c(-4) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 62, -3\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 8 = -4*z, -329*u = -323*u + 3*z - 0*z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 49*v**2 - 4*v + 7. Let y(q) be the third derivative of 73*q**5\/60 - q**4\/4 + 5*q**3\/3 + 3*q**2 + 2*q + 614. Give 7*s(u) - 5*y(u).\nAnswer: -22*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c + 2531907*c**2 - 2531907*c**2 + 97 + 1190*c**4 + c wrt c?\nAnswer: 4760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476*x**5 - 53308*x**4 - 255108*x**3 + 3949612*x**2 - 3611048*x - 30624 = 0 for x.\nAnswer: -11, -1\/119, 1, 6, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00631660722 rounded to 5 dps?\nAnswer: -0.00632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25b + ba?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 21874. Let c be u(0). Let v = c + -7196485\/329. Let n = -2\/47 + v. Sort -5, n, 1 in ascending order.\nAnswer: -5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*o - 29148 = 0, -23*a = -25*a - 2*o + 19464. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, 7, 24?\n\"Answer: 17*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 18. Let h be i - 7\/((-7)\/2). Suppose o + 0*o = h. Solve -q = -o*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 2*d - 6 + 4*d)*(-5*d**3 - 2 + 2) + (5*d + 2*d - 4*d)*(8*d**3 - d**3 + 9*d**3).\nAnswer: 43*d**4 + 30*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*q + 2, -q + 6 = 3*j - 0. Let z(l) be the second derivative of -1\/9*l**3 + 1\/9*l**4 - l + q*l**2 - 1\/30*l**5 + 0. Factor z(t).\nAnswer: -2*t*(t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = 2*x - 156. Let p(f) = f**3 - 9*f**2 - 12*f + 23. Let z be p(10). Suppose 73 = 5*d + z*v, d = 2*d - 4*v - 10. Which is bigger: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 20. Suppose 0 = 2*v - 6, 3*d = -0*d - 4*v + 12. Suppose d = t + 1 - 2. Solve j - x = t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 36665 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 + -79. Suppose -v = -4*d - b, 2*d + d + 55 = 5*v. Solve 5*k - k = -3*t + 9, 0 = 4*t + 5*k - v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 5:20 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3357429 to the nearest integer?\nAnswer: 1832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o - 3. Let m be k(2). Suppose -2*g - 4*t + 37 - 15 = 0, 3*g - m = 2*t. Suppose x + g*x = 148. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(304)*-1 + 3)**2.\nAnswer: -24*sqrt(19) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/20 and 51\/(-204) + ((-2)\/(-3))\/((-80532)\/(-29187))?\nAnswer: 44740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6308 - -10903. What are the prime factors of s?\nAnswer: 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -6*f - f. Let 15*x**5 + 65*x**2 + 17*x - 5*x**f + 56*x**4 + 2 - 11*x**2 - 10*x**3 + 95*x**3 = 0. Calculate x.\nAnswer: -1, -2\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 602, 242 in descending order.\nAnswer: 602, 242, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90282*t**2 + 90273*t**2 - 180553*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 227355*l**2 - 2*l + 208436.\nAnswer: 454710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35861 take away -2043?\nAnswer: 37904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14585*s = -14449*s + 3400 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 19*l - 4. Let m(t) = -6*t + 3. Let i = -34 - -42. Let q(p) = i*m(p) + 3*v(p). Calculate q(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {z: 4, r: 10}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - q = 5, 42*z - 45*z + 15 = -3*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -320*m**2 + 6*m - 10821 with respect to m.\nAnswer: -640*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 297013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-15)\/(18\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -886016 and -0.0018704?\nAnswer: 886015.9981296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/21 + (-4)\/6. Let s = -211\/609 - y. Let w = s - 33\/116. Put 1, -1, w in decreasing order.\nAnswer: 1, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -960 - -963. Let z = -2 + 0. Put w, z, 5 in decreasing order.\nAnswer: 5, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.18 - 1.98. Let w = -15 - -14. Sort -6, x, w in descending order.\nAnswer: x, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 + 41*y**3 + 56 + 52.\nAnswer: 41*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.5 (b) 1\/21 (c) -5\/2 (d) -1\/12 (e) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-20) + 56\/320 + (-7683)\/(-312)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2\/5 (c) -2\/9 (d) 0 (e) -48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 6:15 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (4*(sqrt(325) - (sqrt(325) + -4*sqrt(325)*2)) + -5 + 0 + sqrt(325)*2)**2)*-4.\nAnswer: -1502908 + 6800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/132 (b) 47 (c) -3\/173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -10 - 11 + 15*c - 18*c + 2. Let n be y(-8). Solve -2*q - 4 = 3*m, -2*q - n*m = 8 + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + ((-1)\/9)\/(7\/119). Let t(a) = -a - 4. Let p be t(-4). Is f at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92161 is divided by 46059.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98387.9 tonnes to micrograms.\nAnswer: 98387900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 1:08 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 4 - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3\/3 + 640*t**2\/3 - 1295*t\/3 + 650\/3.\nAnswer: 5*(t - 1)**2*(t + 130)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x*x*x\/(x\/x**(-1))*x)))**(-36\/5)\/(x**(-3)\/x**2))**(-26))**(-22) assuming x is positive.\nAnswer: x**(-26884\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1748860228?\nAnswer: 2, 437215057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 7 + 1*(1 + (3 - 0)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 377629352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 4*c**2 - c - 18. Let k be f(5). Factor -1\/4*t**k - 1\/4*t**4 + 0*t + 0 - 1\/2*t**3.\nAnswer: -t**2*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -4 (c) 0.65 (d) -2\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 2*l - 3, 2*l = 8*q - 13*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 13*j**3 + 4*j**2 + 34*j. Let b(m) = -4*m**3 - m**2 - 11*m. Give -7*b(x) - 2*r(x).\nAnswer: 2*x**3 - x**2 + 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m - 11973 + 11973 + 3*m. Let j(f) = 68*f**2 - 12*f. Calculate v(j(r)).\nAnswer: -136*r**2 + 24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 3770*x + 22440.\nAnswer: 5*(x - 748)*(x - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 262619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:39 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmw when three letters picked without replacement from {n: 3, m: 4, k: 1, w: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 1:12 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 - 90 = -8*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 40. Let s = k + -18. Which is the nearest to s? (a) -0.2 (b) 4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 5109.\nAnswer: 25545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-951)\/(-4438))\/((-27)\/(-21)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**0*v)**(-22)\/(v**(2\/7))**(-3\/4))**2 assuming v is positive.\nAnswer: v**(-613\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -26619892*r. Let i(y) = -2*y**2. Calculate n(i(z)).\nAnswer: 53239784*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27587.\nAnswer: 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*c + 7*c + 10 = 0, 0 = -5*n + c + 16. What is the second derivative of p**n - p - 18*p**3 - p**3 + 0*p wrt p?\nAnswer: -108*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1085 = -5*w, -w + 2*r + 0*r = -217. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -271*f**4 + 345544*f**3 + 172 - 345544*f**3 wrt f.\nAnswer: -1084*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*g + 15*g - 29744. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 7 + 5, -3*x + 3 = 2*t. Let p be (-583)\/x + (5 - (-68)\/(-12)). Let y = p + 329. List the prime factors of y.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 divided by 2\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 25*x**3 - 33*x**2 + 5*x - 9. Suppose 2353*i = 2342*i + 99. Let g(s) = -6*s**3 + 8*s**2 - s + 2. Calculate i*g(w) + 2*h(w).\nAnswer: -4*w**3 + 6*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21101 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -11*f + 1. Determine m(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*3\/((-6)\/(-28))*(-39)\/(-78)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.87861 to the nearest integer.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 11:45 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 54392.41 millennia?\nAnswer: 543924.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.884? (a) 2 (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 8 (c) 0.2 (d) 2\/5 (e) 14067\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4343 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 101011101001?\nAnswer: -101011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1110070 or 1110062?\nAnswer: 1110070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43030 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9440716 seconds to nanoseconds.\nAnswer: 944071600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**3\/6 - 3*s**2 - 2*s. Let c be d(-6). Let p be 1\/2 - 7\/6. Which is smaller: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.224 - -108.776. Let b = q - 29. Let i = b + -80.0000098. What is i rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 2. Let j be d(3). Is 263\/5 + 2\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 7*l**2 - 10*l + 9. Suppose -6*d + 47 = 17. Let t be r(d). Solve t - 3 = c + v, -3*c = -5*v - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 12625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/25)\/((-4)\/(-20)). Let w(p) = -1 + 2 + 4*p**2 + i*p**2 + 2*p + 0. What are the prime factors of w(2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39490780 and 6?\nAnswer: 118472340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17.2752 from -6.17.\nAnswer: -23.4452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -74 times -10.3\nAnswer: 762.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 5*p**2 + 3*p + 19. Let k be t(-5). Suppose 0 = -f + 3*f + k*f. Solve f*r = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 121*a + 496. What is u(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/9 + g**3\/3 + 4*g**2\/9 - 4*g\/3.\nAnswer: -g*(g - 3)*(g - 2)*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131 + 576. Let q = h - 26. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 2*x**3 + 5*x**2\/2 + 5*x + 9. What is the derivative of v(s) wrt s?\nAnswer: 12*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2692716?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/3762*6*(-1)\/(-1)*(-758)\/758?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*h = -0*x - 225, x + 81 = -h. Let q = -36 - x. Let u = -3 + q. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*w - 92. Suppose -5*p = -41 - w. What is the third derivative of p*n**5 + 656*n**3 - 23*n**2 - 656*n**3 wrt n?\nAnswer: 900*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -502 - -273. Let n = f + 236. Let h = 32 - 63\/2. Put h, 5, n in decreasing order.\nAnswer: n, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 332605303 - 5?\nAnswer: 332605276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -a - 5, -2*a = 4*y - 2*y + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*q - 5*a, 4*a - 4 = -2*q + 5*a. Let b(g) be the second derivative of -g**2 - g + 0 - 1\/6*g**q. Differentiate b(y) wrt y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6*c + 11*c = 7735, -5*c = v - 3870. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139 - 975\/7. Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 7, u: 10, p: 2}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -71.5 + 72.029. Let g = 0.52900203 - f. What is g rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296080723.\nAnswer: 6833, 43331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10081.542 months in decades?\nAnswer: 84.01285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37426, 37424, 37420, 37414, 37406?\nAnswer: 37396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34312837*y**2 + 137572086?\nAnswer: 68625674*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6904830 and 3105.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -972\/25, -1646, 10?\nAnswer: -972\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*c**3 + 13*c**3 + 16*c**3 + 20*c**3 + 11*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -11*p + 222. Let s be n(20). Calculate the highest common divisor of s and 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 11*j**3 + j - 3. Let u(m) = 12*m**3 - 4. Let q(l) = -4*i(l) + 3*u(l). Find the second derivative of q(y) wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 + 4057 - 45*b + 47*b.\nAnswer: 2*b + 4152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -264, -1012, -2266, -4032, -6316, -9124, -12462, -16336?\n\"Answer: -w**3 - 247*w**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -10 - (-14 - (2 + -1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f**2. Suppose -30*h + 28*h + 4 = 0. Let q(p) = -424*p**h + 846*p**2 - 430*p**2. Determine q(a(b)).\nAnswer: -288*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 1993 = 447. Suppose -v = -4*l - a + 108, -4*l = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/612 and 54\/8483.\nAnswer: 305388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -6381.9050330929?\nAnswer: 6381.5050330929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12812 - -5?\nAnswer: 12817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2\/53, 0.734?\nAnswer: 0.734","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = -4. Suppose -u + 9 = t*u. Differentiate -2*a**4 + u*a - 2*a - a - 2 with respect to a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.91281 rounded to 1 decimal place?\nAnswer: 163.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 355013910?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -4 - (5 - 5)) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + -4. Let g be (h\/20)\/((-1)\/5). Suppose o - 50 = -3*k + 84, 146 = g*k - 2*o. Is k a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 389, 656, 681, 344, -475, -1896?\n\"Answer: -20*g**3 - g**2 + 410*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + 2)*-3 + 0 + sqrt(425) + 1)**2.\nAnswer: 100*sqrt(17) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07308 + -61199643.\nAnswer: -61199642.92692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94914403*n**6 - 2*n**2 - 2*n + 55780124 wrt n?\nAnswer: 11389728360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7 - 3*v + 4*v + 2*v. What is the remainder when z(6) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 56.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1063462*w**3 + w**2 - 5*w**2 + 1063458*w**3 - 2126902*w**3.\nAnswer: 18*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -67*o**2 + 20*o - 63. Calculate k(2).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1373 + 4144 = -61*z - 22*z + 1118 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = 3*i. Let n be 43 - ((-2)\/1)\/i. Calculate the highest common factor of n and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010010000 (base 2) in base 5?\nAnswer: -23210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 353761150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b + 1. Let p be t(-1). Suppose -i + 6*i + 15 = 0. Let l = i - 0. Are p and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 1.7, 1.86, 2\/13?\nAnswer: 1.86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 272589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*i**3 + 5131*i + 6*i**3 - 6 - i**2 + 3 - 5133*i + 0*i**3 - i**4 to c*i + n*i**2 + z + s*i**4 + h*i**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 1 + (8619 - 8781) + 0 + 30 + 1.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 + 67. Solve i - 3 = -s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -22 - (105 + -102) - (3 + 1)) + -84\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**11*f))**(1\/23)*f**(2\/7)\/f**3 assuming f is positive.\nAnswer: f**(-514\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1708 - 790311\nAnswer: -792019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*c)*(-3 + 8 - 3) - c - 2*c + 2*c - 2*c + 4 - 4.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 31\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-99 - (-1 + 12 - (24 + -23)))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47481*a - 97009*a + 49529*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012022010 (base 4) to base 9.\nAnswer: -477163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 3822 = -2848. Calculate the greatest common factor of 20 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l\/((l\/l**(1\/2))\/l))*l*l)\/(l**0*l))**(-1\/16)\/(((l*l**(2\/11))\/(l**(2\/23)\/l))\/(((l*l\/(l*l**(1\/5)\/l))\/l)\/(l*l**(-7)))) assuming l is positive.\nAnswer: l**(189199\/40480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -38. Suppose -j = -i + r, -3*i - 85 = -8*i + 2*r. What is the remainder when 32 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(300)*-3 - (1*sqrt(192) + sqrt(192))*1) + -2)*5*-2)**2.\nAnswer: -9200*sqrt(3) + 634900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 12:28 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x - 7. What is y(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 15 - 7. Let z(g) = k + 48*g + 61*g - 149*g + 55*g. Calculate z(3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) - (-2)\/6. Let r(x) be the first derivative of -1\/3*x**3 - 11 - 1\/2*x**2 + 3*x**4 + x. What is r(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -43*j**2 + 4*j + 4. Let b be r(-10). Let d = b + 2658. Let l = d + 2675. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-1))\/((-1)\/(-9))*(-6)\/(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 62 = -642. List the prime factors of y.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3120880.16323711 - -5\nAnswer: -3120875.16323711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2237*m**3 - 265*m**2*o**3 - 3*m*o + 12000591*o**3 with respect to m.\nAnswer: 6711*m**2 - 530*m*o**3 - 3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-147 - 53781\/(-364))\/(1 + 4*-55 + 0).\nAnswer: -1\/292","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 34054450?\nAnswer: 34054450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9118215 microseconds to seconds.\nAnswer: 0.0000009118215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -279336 greater than or equal to -279336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-121)\/(-1815) - (-2)\/(-30)*-74?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddwddddddddddd. Give prob of picking 1 w and 2 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*4 + (-3 - -1). Let t(z) be the second derivative of -z**5\/20 - 2*z**4\/3 + 3*z**3\/2 - 3*z. Let l be t(-9). Solve l = -2*v - b + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -183*y + 10511. Give c(58).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = v - 322, -2*v + 84 = 2*j - j. Suppose -2556 = -2*w + 4*t - 480, -4*w + 4159 = -t. Calculate the greatest common factor of w and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(15\/6))\/((11*(-12)\/(-88))\/6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 378 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(20\/(-5)))\/(-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.129 + -1.119. Let v = 0.8 + o. Let g = v + 0.189974. What is g rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 26*d**3 + 3*d**2 - 21*d**3 - 3*d + 39*d**4 + 1 - 4*d**3 to the form i*d + h*d**3 + s + u*d**4 + b*d**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15979707*s**2 - 14236604*s.\nAnswer: -31959414","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*k - 19 = 7, 4*f + 5*k - 29 = 0. Sort -3, 4, f, 2 in increasing order.\nAnswer: -3, f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2. Let w(g) = -214*g. Determine t(w(h)).\nAnswer: -91592*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*j + 4. Suppose 2*m + 2*b - 12 = m, m = b - j. What is the first derivative of -d + m*d**3 - 1 + d wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-3) + (6 - -3). Suppose 17*k - r*k = 15. Suppose 0*c + 2*c + 2*x = 34, -4*c = k*x - 73. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6102 + -246?\nAnswer: 5523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2205*h + 31148 + 7844 = -16133 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -7, -5.\nAnswer: -7, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4251518.\nAnswer: 2, 349, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 7*p = 2. Suppose c = -5*v + 1839, 2*c + p*c + 1452 = 4*v. Suppose -2*r + 31 = -v. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 8*y + 22. Suppose 2*o = -i - 24, 3*o - i + 5*i = -46. Let z be s(o). Is z at least 8\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 9*d + 1. Let a(f) = -f - 1. What is a(q) - m(q)?\nAnswer: 2*q**2 + 8*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 3:02 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4 + 57*y**3 - 515*y**2 - 16797*y - 16226 = 0. What is y?\nAnswer: -61, -14, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 3)*(-2 + 6). Let q(p) = -4*p**2 + 389*p + 695. Let j be q(99). Solve v*s = j*s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -728 divided by 30?\nAnswer: -364\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.068618 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 9 + 1 + 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - h = -0*r - 3, -r - 5*h + 15 = 0. Let y = 603 + -604. What is the nearest to r in 0.2, y, -79?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/563 - -1092\/9571. Are j and -473 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68.3 - -68. Let t = -5 - -9. What is the closest to 0.1 in 0.4, t, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.81605736 rounded to three decimal places?\nAnswer: -0.816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 10 + -7 + -8 + 8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*2 - -3) + (-6 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k - 4*k - k)*(7*k + 20*k - 7*k) + (-4*k + 3*k + 3*k)*(5 - 5 - 5*k) as w + o*k**2 + b*k and give o.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11352, -11368, -11394, -11430?\n\"Answer: -5*d**2 - d - 11346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41 and -0.43.\nAnswer: -17.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -643 (base 9) to base 2.\nAnswer: -1000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*s**3 - 23*s**3 - 62*s**3 - 67*s**3 - 4*s**3 + 5*s**3 - 3*s**3 + (4*s**2 - 3*s**2 - 2*s**2)*(s + 1 - 1).\nAnswer: -142*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.8, -6, 1\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 460 * -3.484\nAnswer: -1602.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 541 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -44*b + 8. Let o be z(6). Let f(g) = -9*g**2 + 4*g - 4. Let q be f(4). Let n = q - o. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79438 divided by 19?\nAnswer: -79438\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1652*s - 1656*s + 4980*s - 1660*s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.51*-0.07.\nAnswer: -0.0357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 11) in base 13?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 26 (b) -13357 (c) -76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -44*j - 250, -1580*n + 59 = -4*j - 1575*n for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.5, -1\/3, 11, -0.23?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*o + 7795 = 8*o, 0 = 4*h + 5*o - 6223. Does 22 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 2081*k**6\/30 - k**3 - 51*k**2 - 10*k + 7. What is the second derivative of b(y) wrt y?\nAnswer: 24972*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 15.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 337993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23467997 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 443 - 383. Calculate the greatest common factor of 80 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 + 9*o**2 - 6*o - 3. Let u be h(3). Let v(k) = -k**2. Let f(z) = -2*z**3 + 6*z**2 - z. Determine u*v(w) + f(w).\nAnswer: -2*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 6. Let f(y) be the second derivative of y**5\/40 - y**4\/8 + 91*y**3\/6 - 108*y. Let w(g) be the second derivative of f(g). Determine w(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-4)\/6)\/((-2)\/189)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*i**5 + 2*i**3 + 66*i**2.\nAnswer: 3600*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(12\/4 + 0). Suppose 0 = -0*v + 2*v - 86. Put t, v, -2, 3 in ascending order.\nAnswer: -2, t, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*t - 12*t - 3483. Which is bigger: -60 or t?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwuuusswussws. What is prob of sequence swww?\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11968?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/36*42\/14*-18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100011000101101 - -1111101110?\nAnswer: 1001100101000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from socnonnsoooosonooo?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33900 is divided by 98?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -295900 by 44.\nAnswer: -6725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255 + 461*j - 126*j - 256.\nAnswer: 335*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*t - 158, 49 = 2*t + 5*o - 47. What is the remainder when t is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 + 17a6?\nAnswer: 1762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2152 or 0.15939?\nAnswer: 0.15939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26697 > 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n - 8 = 0. Suppose -4 = f - 3*z - 0, 0 = -n*f + 2*z. Suppose y - 25 = -f*i, -19 = -i - i + y. What is the smallest common multiple of 9 and i?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**3 - 8*g**2 + 4*g + 13. Suppose m = 6*m - 65. Let c be d(m). Let i be -2 - -1*c*2. What is i rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/25024?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*n**6 + 69*n**4*u**2 + 2*n**3*u + 2*n**2*u + 3360*u**2 wrt n?\nAnswer: 6120*n**3 + 1656*n*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 3*z**3 + 4 - 2*z**3 - 5 - 4 + 5*z**2. Let b be m(-5). Solve 0 = -b*q - 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212001 (base 4) in base 13?\nAnswer: -1152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 5*y**3 - 279*y**2\/2 - 114*y + 13. Determine c, given that b(c) = 0.\nAnswer: -2\/5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771052?\nAnswer: 2, 17, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 53*l - 37*l + 704 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 12 = 2*q. Suppose -q*o - 20 = 4*a, 0*o + a = -5*o - 5. Suppose 3 + o = -3*i. Which is greater: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3078.128634 rounded to one decimal place?\nAnswer: -3078.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 12681.125 to the nearest 10.\nAnswer: 12680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3782 - -15049\/4. Calculate the common denominator of m and 21\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 10*u = 27. Let g be (-38)\/u - (-12)\/(-54). Let i be 2*(g\/(-3))\/4. Which is the closest to 0? (a) -0.4 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317057528.\nAnswer: 2, 39632191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/18 - ((-3600612090)\/108)\/1. What is p rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-3))\/(60\/(-80))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1680 and 86910?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 3*p**2 + 5*p + 5. Let y(z) = z**2 - z - 1. Suppose 5*m - 3 = 12. Suppose 4*c + 3*h - 6 = 0, m*c = 7*h - 2*h + 19. Determine c*y(b) + t(b).\nAnswer: b**3 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 528658685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 2)\/2 - (-1 - 0). Suppose -160 = -6*s + 3*s - 5*w, -h*s + 163 = 2*w. Calculate the highest common factor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + -5 + (-1 - 0). Solve -2*v - 6 = p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 689701 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 1\/13, 4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 5 - 5)*(-1 + 5 - 2) + 8 - 4 - 1)*(-103*k - 147*k + 355*k + (-5 + 3 + 0)*(0*k + k + 0*k)) to p + v*k and give v.\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/4, -5, -8, -6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 100, 2, -27 in decreasing order.\nAnswer: 100, 2, 1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 363*u**2 + 3*u - 363.\nAnswer: -3*(u - 121)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1195.\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 314910, 76 in decreasing order.\nAnswer: 314910, 76, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106471 = 2000*s - 1983*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5069 - -1.5069. What is the nearest to 5 in d, -0.0499, -0.1?\nAnswer: -0.0499","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = 7 - 115. What is the remainder when 24\/5*(0 - -5) is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -51. Suppose -2*o = o - p. Suppose 0 = -3*j + 15 - o. Solve m - j = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4840*l**2*m**2 + 283*l**2*m + 2*l**2 - 2*l*m**2 - 6*l*m + m**2 - 743*m + 3 wrt l.\nAnswer: -9680*m**2 + 566*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 21.999599. Round y to five dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -5 (c) -66 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -197871742\nAnswer: -2\/98935871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14605 times -0.22453?\nAnswer: 3279.26065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4109 - 0.5891. Let o(y) = y - 7. Let i be o(11). Which is the closest to 7? (a) i (b) 2\/13 (c) j (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 18. Suppose u = 3*v + 43. What is the units digit of (-8)\/v*(7 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 27 = -4*g - 33, 0 = -5*b + 25. Let q = g + 19. Suppose -3*h + 26 = 2*s + 2*s, 3*s - q = 3*h. Solve 3*t = 5*t - h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/6601 and 74\/472443.\nAnswer: 3307101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 - -68. Suppose 5*k = 4*b - 10, -v*k + 30 = k + 4*b. Solve -15 = -3*i - k*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1978 + 1971. Put q, 2, -11 in decreasing order.\nAnswer: 2, q, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 717.2 - 717.1. What is the nearest to r in -0.29, 2\/3, -0.3, 4?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*sqrt(1280)*1)\/((sqrt(192)*3)\/((sqrt(60)\/sqrt(2))\/sqrt(10))))**2.\nAnswer: 320\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 3. Let s be n(-7). Solve 7 = 5*k + u, 2*u = -s*k + 7*u - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, -25, -63, -119?\n\"Answer: -9*y**2 + 7*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*m - 316 = 432. Solve -10*w + 7 = -m*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.13 - -8.37. Let i = -9 + x. Let d = -0.7 - -0.3. Which is the closest to 0.1? (a) d (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3213\/3964 - 60\/991. Factor t*j**2 + 6*j - 27\/4.\nAnswer: 3*(j - 1)*(j + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - o + 3*o**2 - 4*o**2 - 8*o + 4*o.\nAnswer: -o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + (sqrt(17) + sqrt(34)\/sqrt(2))*1 + -3)*-4.\nAnswer: -48*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**3 + 3*x + 15. Calculate the remainder when 104 is divided by h(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/734806 and -79\/5072.\nAnswer: 5878448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 60996436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 2*l + 0*l - 16*l.\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 16142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 12*q**2 + 1. Suppose -r - 38 = -5*r - 5*v, -5*r - 2*v + 56 = 0. Let b be u(r). Solve -5*t - b = -11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3101.\nAnswer: 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 298796467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -345*f**4 + 67*f - 14*f + 289*f**4 wrt f.\nAnswer: -672*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1615097583.\nAnswer: 3, 11, 941, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zeeeezeeee.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 8. Suppose -2*o - n - 19 = 4*n, 0 = -4*o + q*n + 4. What is the common denominator of 43\/26 + 0\/o and -23\/16?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - x - 2 = -21, 0 = -4*f - 4*x + 28. Suppose 12 + 8 = 10*a. Sort a, 3, f in decreasing order.\nAnswer: f, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 - -76. Let x(j) = 2*j**2 + 22. Let s be x(z). Let c be (-1 - 4\/(-6))\/((-2)\/s). What is the greatest common divisor of c and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.9 - 1.8. Let d = -0.9 - c. Let p = 1.0000008 + d. Round p to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/9 (b) 19 (c) -283\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12\/1181 - -1253\/7086. Let i(p) be the third derivative of -24*p**2 + 0*p + 0 + 7\/6*p**3 + 0*p**4 + h*p**5. Differentiate i(o) with respect to o.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5889*x + 76. Let v be b(6). Is (-95)\/(-38) + v\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 22 = -q, -4*q - 4*c - 10 - 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a*q**3*x**2 - 28*a*q**3 - 6*a*q**2 + 2605*q**3*x**2 wrt x.\nAnswer: -2*a*q**3*x + 5210*q**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -10. Let q(m) = -6*m**2 - 10*m + 10. Let u(s) = -3*s - 70 + 67 - 3*s + 2*s + 2*s**2 + 7*s. What is y*q(n) - 10*u(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w. Let p(a) = 720400*a**2. Give p(o(q)).\nAnswer: 11526400*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 6. Suppose -q = v*q - 63. Suppose 5*a + b = q + 20, 3*a + 2*b - 19 = 0. Solve k = -3*m + a, -4 = 4*k - 0*m + 2*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/8 + (1350\/72)\/(-25)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 43*c + 28130000. Let z be n(0). Round z to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 288 + -199. Let y = c + 114. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cyyccayyac.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + g - 3. Let l be m(-3). Suppose 3*x + 15 = -0. Let p = l + x. Calculate the remainder when 62 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + x = -176. Let s = 44 - x. Solve s = -3*v + 2*v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -382394571.31559.\nAnswer: -382394566.31559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2618\/561)\/((1\/4*14)\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 10) to base 8\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -636.65 - 9.35. Let k = d + 640.87. What is k rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*v = -2, -z + 13 = -2*v + 3. Let u = -0.018 + -2.982. Which is the closest to z? (a) -2 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32777042 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*b = -8 + 2, 2*b = 2*y - 4. Suppose -66*f = -330 - 198. Sort 5, f, y, 3 in increasing order.\nAnswer: y, 3, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 10*r + 15. Let c be t(2). Solve 5*s = s + c*n + 35, 3*n = -2*s - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71460 is divided by 464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -12. Let p(v) = -v**2 + 45*v - 203. Let g be p(40). Which is the second smallest value? (a) o (b) 1\/6 (c) 0.2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 20348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1462, -4602, -9890, -17320, -26886, -38582, -52402, -68340?\nAnswer: -86390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 12 = -4*u, 0 = 4*u + 5*s + 2418 - 2412 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*v**2 - 1 - 135*v**2 - 2 - v - 44*v**2 - 52*v**2.\nAnswer: -148*v**2 - v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17755\/4912 - -16\/307. What is the common denominator of q and -11\/350?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/2786 - (-1 + 1). Suppose 16*w - 11*w + 2*i = 2, -4*w = 4*i - 4. Which is greater: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1489\/9 + 13231\/63. Let l = -40\/3907 + 4912219\/109396. Let v = l - j. Are v and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10 = -0. Let l(q) = -983335*q - 4. Let d be l(-6). Suppose -2*t + t - 2*j = d, 0 = r*t + 2*j + 11800006. Round t to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -3*w + 2\/3*w**3 + 0*w**2 - 2\/3*w**4 - 1\/15*w**6 + 14 + 0*w**5. Find the third derivative of g(c) wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ufututhu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3156264?\nAnswer: 2, 3, 59, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(425) + (sqrt(425) + -2*sqrt(425) + -2)**2.\nAnswer: 25*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -110 - 15 - 623*g**2 + 129 + (-2*g - g + 2*g)*(-2 + 2 + 2*g).\nAnswer: -625*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/33 and -64\/1581.\nAnswer: 17391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11164 is divided by 1305?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -398134473.1855.\nAnswer: 398134476.1855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 11*v**2 - 9*v - 7. Suppose -5*n + 50 = -0*n. Let d be o(n). Suppose 5*z = h - 15, -4*z - z = 2*h. Solve 1 = d*i - 8, -t = h*i - 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -15*a**2 - 330*a. Determine s(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 2*z - 15, 2*q = 28*z - 29*z - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**10*v**(-5)\/v assuming v is positive.\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2 and 1.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**2\/2 - 34. Let s(r) = -9*r. What is s(j(q))?\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 1044031.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4\/5 + 54*k**3\/5 - 54*k**2 - 270*k = 0. Calculate k.\nAnswer: -3, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10948 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/34 - 10872\/(-68). Suppose -2*w + j = -4*q, 2*q = -3*q - 20. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 276869.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 51 = 2*c, 5*p - 52 + 19 = -4*c. What is the greatest common factor of 117 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*i. Let w be 30\/(-39) + (i - -1). Let r = w - 2\/65. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5236531 is divided by 113?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.8279 - -3.895806. Round s to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -68927\nAnswer: 5\/68927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.7 - 1.7. Let r = 7 + j. Let l = 3.2 - r. What is l rounded to zero decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-5) + ((-24)\/(-10))\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*r - 2*r + 18 = 0, -3*j + 4*r = 23. Is -7 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-10)*120\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 2*u**2 + 0*u**2)*(2 + 2*u - 2) - 4*u**3 + 0*u**3 + 3*u**3 - 43*u - 22*u**3 + 43*u - 2*u**3 + u**3 - u**3.\nAnswer: -23*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**3 + 7*h**2 - 3*h. Let z(q) = 4*q**3 - 6*q**2 + 4*q. Give 3*g(s) + 4*z(s).\nAnswer: -2*s**3 - 3*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 j when four letters picked without replacement from {j: 6, a: 1, o: 2, s: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2732143, 2732141, 2732139, 2732137, 2732135, 2732133?\n\"Answer: -2*k + 2732145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1260)\/(-42)*1\/(-78))\/((-1)\/4)\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.049? (a) -4 (b) -16 (c) -1\/2 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 1:34 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/4470 and -57\/130.\nAnswer: 58110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2997955*i - 2997956*i = 4*l + 15, 0 = l - 3*i - 32 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/9 - 7421*s**2\/3 + 13769047*s - 123899161\/9.\nAnswer: (s - 11131)**2*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (49\/(-9) - -5)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8161579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384 - 213 - 2*y**2 - 171.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6*(-54)\/9. Let o(x) = -4661*x**2 - 295*x + 295. Let a(b) = 63*b**2 + 4*b - 4. Give k*o(i) + 295*a(i).\nAnswer: -59*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 4:17 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 2443*b**3\/6 + 762*b**2 + 2193*b. What is the derivative of p(o) wrt o?\nAnswer: 2443","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/225134 and 1\/126.\nAnswer: 2026206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-120)\/315)\/((-5)\/35))\/((-1)\/48). Does -129 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13 - 6) + -2 + -1. Suppose -f*a + 1296 = -s, -2*a + 3*a - 335 = 3*s. Suppose 8*q - 3*q - 2*r - 1651 = 0, 4*r + a = q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -84. Find the common denominator of c\/(-4)*(2 - 1) and -61\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*o - 9406 - 5957 - 52 = -789 for o.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -2. Suppose -4*d + 16 = -z*a, 3*d + a = -0*d + 4. Let k(m) = 6*m - 4 + 0*m - d - 11. Let q(v) = -2*v + 6. Determine -6*k(r) - 17*q(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*x - 645, -3*y + 0*x = -3*x - 969. Is y a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -4. Let p(y) = -9*y**3 + y**2 + 2*y + 1. What is the remainder when 25 is divided by p(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1661 + 1664. Let o(v) be the first derivative of v**4 + 2*v**a + v + 1\/5*v**5 + 11 + 2*v**2. What is g in o(g) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-20)*-5 + 48\/9. Let z = -0.02 - 3.98. What is the closest to o in -0.1, 5\/2, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 11 = -8*m. Let p(q) = 14*q + 3. Let u(d) = -5*d - 1. What is m*u(i) - 4*p(i)?\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 331842?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 68, 83, 98?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r**3 + 24*r**2 - 81*r + 1. Let d(c) = -5*c**3 + 25*c**2 - 82*c + 1. Let o(y) = -4*b(y) + 5*d(y). What is the hundreds digit of o(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w**2 - w - 3. Let k be t(-4). Let b = k + 215. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101402.\nAnswer: 2, 7, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/7 + 674*a\/7 + 676\/7 = 0. Calculate a.\nAnswer: -1, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 5*o**2 + 274*o - 1193. Give v(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15725851 to the power of 1\/2, to the nearest integer?\nAnswer: 3966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*r + 7 - 2 = 0, 4*j = -r - 6. Let v(h) = h - 1. Let y(z) = 0 + 2 - 5*z - 2*z**2 - 5*z**2. Let c(d) = 3*v(d) + y(d). Determine c(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*v - 78*v + 38*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/12047 and 36\/1412941?\nAnswer: 9890587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**6\/120 - 7*a**5\/60 - a**4\/24 + a**3\/2 - 6*a**2. What is o(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/5730956 and 37\/4.\nAnswer: 5730956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*y - 110 + 49*y + 50*y.\nAnswer: 2*y - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -118*v - v**2 + 66 + 64*v + 13 + 55*v + 8*v**2 in the form w + o*v + h*v**2 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 3)*3 - 2. Let i be (o\/(-2))\/((-21)\/(-12)). Sort 4\/7, 4\/5, i in descending order.\nAnswer: 4\/5, 4\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 1 - 4 = 0. Which is the nearest to 0? (a) m (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102309 (base 10) to base 8\nAnswer: 307645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223154 to the power of 1\/2, to the nearest integer?\nAnswer: 1491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2454 (b) -1 (c) 746\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*c**4 + 22*c**4 + c**4 + (-1 + 3 - 1)*(c**3 + c**4 - c**3).\nAnswer: 17*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence riir when four letters picked without replacement from morirmyrim?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/20555 and 31\/5130?\nAnswer: 21089430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 2 - (-26 - -4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 24 = 5*q, -30*c - 12 = q - 25*c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 1)*(0*z**2 - 2*z**2 + z**2 + 2 + 28*z**2 + 8*z**2 - 8*z**2 + (-1 + 4 + 0)*(z**2 + 4*z**2 - 3*z**2)).\nAnswer: 66*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10201 + -11?\nAnswer: -10212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -85 (c) -5 (d) -2\/9 (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -12. Suppose 8*i - 3*i - 85 = 0. Let v = u + i. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1526110 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 4 - (-5 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 + -16. Let w = 7 - -33. Let x = i - w. Calculate the least common multiple of x and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-9))\/2*(-12)\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from errzzrzrrrzrerir.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -7 + (-2 - -4) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/(-10))\/(2\/(-197852)). Let w = s - -1903682482\/12829. Let k = -1039127\/282238 - w. What is the common denominator of 45\/14 and k?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 8\/39*z**3 - 2 + 2\/13*z**2 - 2\/13*z - 1\/13*z**4 - 6\/65*z**5. Find x such that g(x) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*q - 41, -4*q + 3*j + 25 = -8. Suppose 5*g = q*g - 4. Suppose 4*l + 2*l - 24 = 0. Put g, l, -4 in ascending order.\nAnswer: -4, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o**3 - 1. Let k be s(-1). Suppose 5*f = k*f - 74. Let d = 34 + -21. What is the remainder when f is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 31*v + 60. Let j be y(29). Suppose 3*o + 0*b = -2*b - 110, -j*o + 3*b = 69. Let p = 51 + o. Solve -4*w - p = -w, -k = 2*w + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2823 + -2820. Solve 3*v + 3*m - 6 = 0, 0 = 6*v - f*v - 5*m - 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 209180.76 months?\nAnswer: 17431.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puveepjvjjepvjj. What is prob of sequence jp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1047 - 645. What are the prime factors of z?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 71 + 29. Suppose -2*k + 40 = 4*n, -k + 20 = -0*n + 4*n. Let h = 6 + k. What is the remainder when h is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 153 = -6*t. What is the second derivative of -47*x - 43*x**2 - 29*x**2 + t*x**2 wrt x?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, o: 2, y: 3}. Give prob of picking 2 l, 1 o, and 1 y.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41886, 84601, 127316, 170031, 212746, 255461?\nAnswer: 298176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90617?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 6:40 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z + 6*v - v, 2*z - 3*v + 10 = 0. Let f be (z\/(-6))\/((-1)\/(-3)). Is 7 a factor of 38\/(f*(-1)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6874 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28894, 57789, 86684?\n\"Answer: 28895*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -429968 divided by 1232?\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 88460, 177067, 265690, 354335, 443008, 531715, 620462, 709255?\n\"Answer: l**3 + 2*l**2 + 88594*l - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -15, 5 = -2*v + 2*a + 3*a. Suppose 5*y - 3*y + 1 = -i, -i + v = 0. Is 8 a factor of y + (1 - (0 + -34))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from eduso.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 810\/(-135)*(-7)\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2563 and 4966162.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -119, -1, -5, 1, -2 in ascending order.\nAnswer: -119, -5, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -6\/12323, -1\/2 in decreasing order.\nAnswer: 0.2, -6\/12323, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1538*j + 741. Let b(m) = -3074*m + 1484. Let c(i) = -6*b(i) + 14*u(i). Differentiate c(k) wrt k.\nAnswer: -3088","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584364 divided by -292182?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*j**2 - 62*j**2 - 33*j**4)*(18*j - 30 + 30) - 2*j**5 + 2*j - 2*j.\nAnswer: -596*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (8 + -4 - 4) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 363 and 7062.\nAnswer: 77682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*j + 2*x + 172 = -143*j, 3*j + 2*x + 1 = -2*j + 6*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -61, -48, 2\/9 in descending order.\nAnswer: 14, 2\/9, -48, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24434 - 123?\nAnswer: -24557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0346 times -0.01?\nAnswer: -0.010346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -7. Let a be 2\/n + (-36190)\/(-28). Suppose 0 = 4*m - a + 360. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2162756 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 189 = 2*z + 2937, z = 2*y - 3130. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p**3 - 8*p**2 - 5. Let z be (2\/6)\/(9\/(-36) - (-70)\/504). Let a(f) = -5*f**3 + 4*f**2 + 3. What is z*i(s) - 5*a(s)?\nAnswer: -5*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 + 57*j - 396. Let x be n(6). Let b(k) = -2*k**3 + 35*k**2 + 17*k + 14. Calculate b(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + -20. Let k be (t\/16)\/((-27)\/(-18)). Let h be (360\/176 - 2)*86 - 4. Which is the second smallest value? (a) k (b) -2\/7 (c) -1 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/5)\/(111\/15). Let b = l - 62\/925. Which is greater: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -744, -716, -680, -642, -608, -584?\n\"Answer: -k**3 + 10*k**2 + 5*k - 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12 = -0. Suppose 0 = -3*o + g - 36. Let s = o + 22. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58928\/(-1778) - 80\/28)*1\/(-4) - -21?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 77579 and -2.\nAnswer: -155158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -1313\nAnswer: -131.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-254)\/50 - -12)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 2239014*g - 39 + 19.\nAnswer: -2239014*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4413, -3779, -3217, -2763, -2453, -2323, -2409, -2747?\n\"Answer: -6*m**3 + 676*m - 5083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + r + 3*r = -36, -4*c = 4*r + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3514*h**4 - 784 - 1114 + 21*h**3 - 3545*h**4 wrt h?\nAnswer: -124*h**3 + 63*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35741 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (5 - (-2 - -2)) + -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -38. Suppose -132 = 4*p - h*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 6*c - 1. Suppose 30 + 6 = 4*y - 2*w, w - 10 = -2*y. Let t = -14 + y. Is j(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023381 rounded to four dps?\nAnswer: 0.0234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 50294952 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*v**2 - 33*v**2 + 119*v - 297 - 122*v + 28 in the form h*v**2 + f*v + z and give z.\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**3\/5 - 1498*u**2\/5 - 2993*u\/5 - 1496\/5 = 0.\nAnswer: -1496, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2736.191 days in nanoseconds?\nAnswer: 236406902400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 174? (a) -1\/12 (b) -2\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 + 12*u - 1. Calculate y(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = -6. Let u(n) = -12*n**2 + 4*n - 3. Let l be u(o). Let z = -29 - l. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/633630796 and -77\/20.\nAnswer: 3168153980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*4\/(-32)*4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.55268 to 2 dps.\nAnswer: -3.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-28))\/((-1)\/4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-12*(-4)\/3)\/(10\/(-24)*20672\/(-64600))\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1440674, 2881358, 4322042, 5762726?\n\"Answer: 1440684*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 369853.9kg?\nAnswer: 369853900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8661?\nAnswer: 3, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a kilogram in grams?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -731 + 417. Is -3 + (-4 - k)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(153))\/((-2*sqrt(225) - sqrt(225)) + sqrt(225))*1.\nAnswer: -3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 12\/6 + 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3102\/(-12))\/47 - -6)*-22?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -21*q + 20*q. Solve -3*w + 19 = p + 4*p, -5*w = -q*p - 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y**2 - 224*y**2 + 38*y**2.\nAnswer: -165*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -18*q - 157. Calculate the lowest common multiple of b(-13) and 35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(191\/382)\/(7\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 68. Let h be 7 + 17\/(-2) + g\/(-22). Is h smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 15*m + 4. Which is the second biggest value? (a) -2 (b) m (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n - c + 37, -5*c = -4*n - 17. Let a = -8 - n. Solve -i = 5*b + 18, -3*b - 18 = -3*i - a*b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 20\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 8*j**2 + 150*j + 75. What is the lowest common multiple of 147 and n(17)?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87217 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4324\/1081*(1\/1)\/(-42))\/2?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-152760)\/(-360))\/(-19)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*d - d + 4*d)*(-d**3 + 4*d**3 + 2*d**3) + (173 + 6*d - 173)*(2 - d**3 - 2 - 2*d) as z*d**4 + r*d + c + b*d**2 + k*d**3 and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or -468?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-7))\/(26\/819). Suppose 4*t - 12 = 4. Suppose t*o = o + r. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - -3) - (8 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/4, -0.4, -2, 11 in decreasing order.\nAnswer: 11, 1, 1\/4, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h. Let y be l(1). What is the units digit of (1 - y)\/((-3)\/(-114))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*y = 123*y - 189 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98 - -125. Let k(y) = y**3 - 27*y**2 + y + 65. Let p be k(n). Let l = -97 + p. Let d(x) = -x**3 - 5*x**2 - 4*x - 2. Determine d(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-74 - -62)*7*2\/(-4). Is 128\/3 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 + 174*b + 1767. Calculate a(-29).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -722, 2\/9, 5\/103, 0.3 in descending order.\nAnswer: 0.3, 2\/9, 5\/103, -722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/46)*x*x*x**3 assuming x is positive.\nAnswer: x**(231\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93.666 + -0.466. Let i = x + -93. Put i, -6, 1\/4 in increasing order.\nAnswer: -6, i, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*w**3 + 1479*w + 17890 wrt w.\nAnswer: 18*w**2 + 1479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3310.3*-0.5.\nAnswer: 1655.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 0 + 0*k - 5\/6*k**3 - 1\/60*k**5 + 7\/24*k**4 + 12*k**2. Give y(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47038*h**5 + 629*h + 24 wrt h?\nAnswer: 940760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/7))**(-4\/35))**(-14)*(c**(-13)*(c*c**(2\/11))\/c)**19 assuming c is positive.\nAnswer: c**(-93853\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 65 = 2*j. What is the highest common factor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 u, and 1 i when three letters picked without replacement from bbhhhhuubibiaf?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 250.6 to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amammmammmmmamamma. Give prob of sequence aaa.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 + 73 - 144 - 650*o.\nAnswer: -650*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(96)\/sqrt(2))**2.\nAnswer: 40*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 - 1 + 2*g - 5*g**3 + g + 7*g**3. Suppose 0 = -3*q - 11 + 2. Let r(m) = -m**3 - 2*m**2 + 3*m + 2. Let t be r(q). Give u(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13407791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -182 + 196. What is the remainder when 82 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20478 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 756.4407 tonnes to kilograms.\nAnswer: 756440.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101 + -1?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4535984 divided by -6536?\nAnswer: -694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*t + 13. Suppose -2*s = 2*s + 20, -2*s = -t*g + 25. Suppose -g*h + 2*v + 333 = -42, -4*h + 300 = -3*v. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1249599 and 2379?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in years?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g = -730. Let l be 7\/(-21) - (4385\/(-15) - -5). Let s = l + -238. Calculate the remainder when g is divided by s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from qffaqfrfflfr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -30*l**3 + 125*l**2 + 35*l. Let h(x) = 5*x**3 - 21*x**2 - 6*x. Let q(m) = -35*h(m) - 6*n(m). What is the third derivative of q(s) wrt s?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-100)\/10 + (-6)\/1. Suppose 0*z = -5*z + 5. Is ((-2552)\/t)\/(z\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1287*a*y**3 + 18*a*y + 3*a + 433*y**4 - 91524*y**2 wrt y.\nAnswer: -7722*a + 10392*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 + 263 = 8*x. Suppose 0 = -x*z - 14*z + 26520. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*o + 4*u, 0 = -5*o + 4*u. Suppose -j + 33*j = 288. Let q be -5 - ((-135)\/j)\/3. Solve 4*t + 8 = -q*y + 4*y, t + 4 = o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.7 - 21. Let z = v - -7.8. Let w = 0.3 + 0.7. What is the third biggest value in w, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 14604?\nAnswer: 29208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 477101 + -1431295\/3. Find y, given that 8\/9*y - m + 2\/9*y**2 = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75\/2 + 979\/26. Which is the biggest value? (a) z (b) -0.4 (c) -0.1 (d) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4*c - 44, 3*a - 3*c = -6*c + 102. Suppose -4*w + 49 = r, -2*w - 5*r + 65 = 3*w. Calculate the greatest common divisor of w and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -14\/5 (c) -3 (d) 2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 132?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68)\/(-14) + 4\/(-12)*15\/(-35). Put h, 2, -26.25 in descending order.\nAnswer: h, 2, -26.25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -49. Suppose -3*y + 24 = f + 1, -2*f - 8 = p. Let h be (y\/(-11) - -1) + (-160)\/396. What is the closest to 0.2 in h, -4, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 4. Let o be x(-4). Suppose 5*j + 27 + 3 = o. Let b = 9 + j. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2814198*c**5 + 2*c**4 - 829*c + 2469 wrt c.\nAnswer: -56283960*c**3 + 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.021862 to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 74. Let w = 16 - v. Calculate the remainder when 63 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -7912*v + 94815. What is s(12)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 244915944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r + 4. Let s(f) = 2*f + 3. Let b be -1 + (-8)\/(-4 + 2). What is b*z(g) - 4*s(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, z: 7, m: 3}. What is prob of sequence oooz?\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-77)\/6 - (35 + (-25 - 22)))*(-3)\/(-10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 31 - 32 - (9 + -8 - (0 - 2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 25*y**2 + 29*y - 17. Let s(l) = -6*l**2 - 7*l + 4. What is 26*s(j) + 6*w(j)?\nAnswer: -6*j**2 - 8*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -775394*f**3 + 1915299 wrt f?\nAnswer: -2326182*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 5 (b) -3 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**3 + 5*l**3 - 5*l**3 + (2*l**2 - 2*l**2 - l**2)*(6*l - 6 + 6).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2 + 10*(-112)\/(-640)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 b when four letters picked without replacement from {f: 3, v: 7, x: 4, b: 2, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23663639 to the power of 1\/3, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50391 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 878*a - 2650. Give y(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, y: 1, c: 10, u: 3}. What is prob of picking 1 y and 3 c?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 43*t - 176. Let l(m) = 20*m - 76. Let y be l(4). Let d be w(y). Which is the second biggest value? (a) -0.3 (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 2*w**2 - 14*w - 2. Let t(u) = 5*u**3 + 9*u**2 + 56*u + 9. Let b(k) = 9*p(k) + 2*t(k). Find the second derivative of b(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2922*m - 2903*m - 266 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = t + 9. What is the remainder when 4 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/8 and 79\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-2)*(495040\/630)\/136.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35119 is divided by 35098?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 18*y + 1. Let r be w(-3). Let k = r + 78. Suppose 2*b - 6 = -5*s - 2, 5*s = 5*b + k. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12754 + -280513\/22. Let p be (-6)\/(-23)*1\/4641. Let m = -3095527\/355810 - p. What is the common denominator of m and z?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242.7779 minutes to seconds.\nAnswer: 14566.674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 3)*-2 + 8. Suppose -f*x + 2*x = -36. Let c = 6 + x. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69744 + 7323041\/105. What is the common denominator of 143\/84 and l?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 2 = -5*w + 3, 3*r + 4*w - 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -6392\nAnswer: -3\/6392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 30 = 8*o - 130 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r**2. Let o(k) = 17*k**2 - 4. What is o(q(s))?\nAnswer: 833*s**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 5:12 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**3 + 299226*h**2 - 1196856*h = 0 for h.\nAnswer: 0, 4, 99738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 0) + -16 + 23.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 4*w**2 - 3*w - 2. Let h(p) = p**2 + 5*p + 8. Calculate the remainder when t(-4) is divided by h(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-6) + (124\/744)\/((-7)\/(-47)). Let x = 4 - 3.97. Let w = 13\/6 + -11\/6. Which is the nearest to h? (a) 4 (b) x (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7283832 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -732*h + 11117. Calculate the remainder when 1250 is divided by g(15).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1317*g + 6946 = -12274 + 3615 - 2833 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/7))**(2\/37))**(-7) assuming q is positive.\nAnswer: q**(6\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) 0.09 (b) -0.33 (c) -3 (d) -1\/4 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 - -53. What is the third smallest value in m, -1\/7, 4, -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 24 - 3) + -19.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 3, 4, 605 in increasing order.\nAnswer: 3, 4, 81, 605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45380083 and 30667?\nAnswer: 2359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -47. Put 0, w, -1, 3 in decreasing order.\nAnswer: 3, w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 12 = -2*w, -h - 124*w = -125*w + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*a - 100*a + 10455 = 0. List the prime factors of a.\nAnswer: 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -14 (c) -11\/5 (d) 0.2 (e) 3\/2 (f) 0.5 (g) 21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 12*d**2 - 2*d + 14. Let m be w(6). Solve m*l + 1 = -5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/18)\/((-303)\/6666)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**2 + 7. Suppose k + 2*p = 2, 2*p + 6 + 4 = 2*k. Let r(l) = 9*l**2 - 15. What is k*r(n) + 9*i(n)?\nAnswer: -9*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/12121863 and 115\/312?\nAnswer: 96974904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 22318*q**4 - 22316*q**3 - 312454*q**2 + 535604*q + 48 = 0.\nAnswer: -4, -1\/11159, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53.14 - 52.94. Which is the biggest value? (a) 10\/3 (b) h (c) -0.06 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1055 is divided by 42.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (80 + -79)\/(2\/(-14))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b - 28. Let d be m(8). Let o be 2 + (-3 - 1) + 3. Solve f - d = -o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 12 = -3*g. Suppose 0 = -g*o - 0*o + 320. Suppose 0 = -w - 3*w + o. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-306)*-34)\/(8\/9))\/12?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6)*s)\/s**23*s**0\/(s\/((((s*s**(5\/7))\/s)\/s)\/s)) assuming s is positive.\nAnswer: s**(-212\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 679*m + 686*m - 2052*m + 685*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/149, -0.3, 5, 8\/751, -2 in decreasing order.\nAnswer: 5, 8\/751, -2\/149, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -951 + 955. What is the nearest to 1 in 0.4, 13, -3\/5, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -20. What is the closest to 0 in -0.1, -1\/3, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18973 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 2*j - 30, -4*z - 149 + 92 = -j - 4*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 354\/27 + (4 - (-222)\/(-54)). What is the closest to -1 in i, 0.3, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 327*j**2 - 2263*j wrt j.\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*s + 3 + 1, -y - 3 = 3*s. Suppose y = -z - 10*z + 44. Solve 0 = -o - 0*c - z*c + 15, 0 = -4*o - 4*c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azze when four letters picked without replacement from ezhhzbzhsae.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4497\/12 - 7\/(-28). Suppose 4*d - i = 325. Find the second derivative of -2*n**3 + d*n - 186*n + 4*n**3 wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*o + 5*n - 17, 22 = 2*o + 5*n. Suppose -5*v - 6 + o = 0. Let d be 1 + ((-3)\/(-4))\/v. Which is the third smallest value? (a) 0.5 (b) d (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, o: 1, u: 7, b: 2, v: 1}. What is prob of sequence ubv?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 + 430*j\/3 + 11408\/3.\nAnswer: 2*(j + 31)*(j + 184)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -8. What is the common denominator of 3\/15 - 13\/40 and (t\/(-15))\/(6\/183)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Let y be 0 + k\/2 + (-15)\/(-6). Suppose 172 = -3*o + 4*o - y*t, 0 = 3*o + 2*t - 483. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5152508.41 rounded to the nearest 10000?\nAnswer: 5150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3130*f - 9*f**2 - 51*f**2 - 19*f**2.\nAnswer: -79*f**2 + 3130*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 2*s - 17. Determine g(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 1:02 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/60*15\/6)\/(2\/(-12))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303691?\nAnswer: 303691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 8:35 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*10.2.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -10, 5, -20, -1 in ascending order.\nAnswer: -20, -10, -4, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18 - (-324)\/(-9) - -12340?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1758999727?\nAnswer: 19, 23, 29, 138799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -148*p**2 - 2. Let u(c) = -4*c. Calculate u(s(m)).\nAnswer: 592*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2365, -2289, -2181, -2041, -1869?\nAnswer: -1665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(((sqrt(11) - (-2*sqrt(11) + sqrt(11) - sqrt(11))) + sqrt(11))*-3).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -866?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/2 - 5) + (1568\/176)\/14 + 8\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 8, -19, 0.5, 0.2 in descending order.\nAnswer: 8, 0.5, 0.2, -1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + n + 19, -r + 3*n + 1 + 6 = 0. Sort 0, 35, -4, r in increasing order.\nAnswer: r, -4, 0, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22848, 22862, 22888, 22926, 22976, 23038, 23112?\nAnswer: 23198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 0.5, -0.4, -384.57, -2\/21, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.4 + -10.76. Let f = x + -1.04. What is the nearest to 0.8 in -2\/11, 4, f?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208569731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 140488 from -1.\nAnswer: -140489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78512.19ml to litres.\nAnswer: 78.51219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q - 3. Let h(c) be the second derivative of 3*c**3\/2 - 7*c**2\/2 + 92*c. Let j(u) = 6*h(u) - 14*o(u). Let m(t) = -18*t**2 - 3. Give j(m(g)).\nAnswer: 36*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**3 + 7*y**2 + 6201*y - 21. Let i(b) = 2*b**3 + 3*b**2 + 3102*b - 9. What is -7*i(j) + 3*t(j)?\nAnswer: j**3 - 3111*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2 = -n - 6*f, 0 = 3*n + 5*f - 7. Let o = -458 + 2773\/6. Find the common denominator of o and 2905\/(-392) + n\/14.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -w + 7. Let m(l) = 12*l - 3*l - w*l. Let q(f) = -3*f - 2*f + f. Determine m(q(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((2\/(-12))\/((-1)\/(-3)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 7. Let f(a) = -a**3 - 4*a**2 - 4. Let b(o) = o**3 - 2895 + 5797 + 5*o**2 - 2897. Determine u*f(m) + 4*b(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88.08 - 88. Which is the third biggest value? (a) 0 (b) q (c) 1\/7 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54 + 4*c + 54)*(-2 + 4 - 3 - 2 - 1 + 2 + (-1 - 1 + 1)*(2 + 2 - 3))*(-16 + 2 - 27).\nAnswer: 492*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 68*g**2 - g - 1. Let h be x(-1). Let i(d) = -12*d - 34. Let o = -40 - -46. Let w(n) = -5*n - o + 3 + n + 3*n. Calculate h*w(l) - 6*i(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3318960302 to the nearest integer?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -12586?\nAnswer: 12583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67)\/(1983334\/2394) + (-14)\/(-133).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/((-8)\/18) - -3698 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(1\/4))\/g)**30\/(g**(1\/4)\/g**6))\/((g\/(g*g**(-2)))**(-18)\/(g*g**0*g*g\/(g\/g**(-2\/5)))) assuming g is positive.\nAnswer: g**(1017\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 986.9544 millennia to centuries.\nAnswer: 9869.544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 154985254 greater than or equal to 154985253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 5:24 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 1237824010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -93*h**3 + 34*h**2 + 51*h - 130. Let r be n(30). Round r to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.01, 3, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -3*x - 34, 180214*a + x - 17 = 180219*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 3*n + 4*j, -4*n - 37 + 189 = 3*j. Let m = 40 - n. Let t = 2.5 - 3. Which is the nearest to -1? (a) m (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = -13*x + 8*x. Let w = -26 - x. Solve 3*y - 11 + 2 = w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418705765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -500 + 520. Solve -q*m = -25*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112128 by -14016.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 767 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 133.027 - 133. Let q = r + -0.027. Which is the nearest to 4? (a) 2\/7 (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 65\/(-10)*36\/3. Let v = u - -82. Solve -28 = 4*w + w - v*k, w + 2 = -k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 0*f + f)*(-3 + 5 + 0)*(226*f**2 + 77*f**2 - 113*f**2) in the form i*f**2 + p + l*f + t*f**3 and give t.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 3:20 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdvdvvvvvvvdvvvv. Give prob of picking 2 v.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/15*18*10*(-7)\/28.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - 9) + -1 - 3 - 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31459\/8 + -3938. Find the common denominator of 145\/18 and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + 4 + 4 + (sqrt(1377) - (sqrt(1377) + -4))*-2 + -4).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*h + 651 = 0, -3*b + 659 = -2*b - 4*h. Suppose 5*u + 30 = b. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258437.07 months to millennia.\nAnswer: 21.5364225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 302218 or 302217?\nAnswer: 302218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 4:49 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/5)\/(23*-1). Let r = l + -5\/161. What is the nearest to -0.1 in 2\/5, 22, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61248 by 32.\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/8)*z*z\/z**(1\/5)*(((z**9\/z)\/z)\/z)\/((z**(-17\/5)\/z)\/z) assuming z is positive.\nAnswer: z**(523\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 - 107. Let i(m) = -m**2 + 9*m - 6. What is i(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 58380*n**2 - 3773575*n.\nAnswer: -5*n*(n - 11611)*(n - 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5847 + 8123?\nAnswer: 2165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 92*n + 1059. What is d(15)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -4, 55 in ascending order.\nAnswer: -4, 2\/11, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2271.73 + 2289. Let r = 136.1 - 119.1. Let d = z - r. What is d rounded to 2 decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 307.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1324, 2651, 3978, 5305, 6632, 7959?\n\"Answer: 1327*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -695551*f**2 + 1391013*f**2 - 695330*f**2.\nAnswer: 132*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*n + 3*s, 5*s = 12706112*n - 12706111*n + 1 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -363317 less than or equal to -363461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 17 = -2*o - 19 - 47, 7*y + 0*o - 16 = 3*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**1*v*v*v*(v\/(v*v**2*v))\/v)\/((v\/(v**(5\/6)\/v)*v)\/(v**(-6)\/v)) assuming v is positive.\nAnswer: v**(-61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 688604 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*(-3)\/(-84))\/3.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*c + 0)*(-264*c + 848 - 848 + c**2) + (-6*c + 4*c + 3*c)*(3*c**2 - 5*c**2 + 0*c**2).\nAnswer: -4*c**3 + 528*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (12 - 7) - 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1293 and -120.\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89 + 90. Which is the closest to m? (a) -2 (b) 15 (c) -1\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llrlllrrlrrl. Give prob of picking 2 l and 1 r.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -z + 21, -n = 5*z - z - 9. Let p be n + -1 - (-60)\/(-14). What is the smallest value in 0.4, 0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/6)\/(3\/18). Let u(z) = z + 2. Let p be u(q). Suppose 0*k + 3*k - p*b = 89, -4*b = 2*k - 66. What is the remainder when k is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8*m**2 - 7*m + 6. Let j(b) = b**2 + b - 1. Let i = 6 - 5. Let f(y) = -2 + i - 5*y + 2. Let v be f(-1). Calculate v*j(p) + n(p).\nAnswer: -2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 14*x - 3. Let n be (-19 - -7)*(-4 + 2). Let d be (-8)\/6 - (-80)\/n. Determine g(d).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 15*t + 21. Is 10 a factor of x(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8*w. Let o(d) = 4*d - 3*d - 2*d. What is x(o(i))?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + -2 + sqrt(2057) + sqrt(2057))**2 + (4 + -5 + (-1 + sqrt(1088) - sqrt(1088)))**2.\nAnswer: -220*sqrt(17) + 8259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-415)\/332 + -20*(3 + 39\/(-12)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 97, 19, -95, -245?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 120?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 4:31 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19eb2 (base 15) to base 2.\nAnswer: -10100100101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 346184, 346410, 346638, 346868, 347100?\nAnswer: 347334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32107 is divided by 292.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3051016 times 0.3?\nAnswer: 915304.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1738 - -2469. List the prime factors of h.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1743 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((117\/36)\/(-13))\/(2\/10).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(0 - 9\/12). Suppose 1 - 5 = -s. Solve h*t + s = -0*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 91*z**2 + 4*z - 12. Suppose -2*u + 186 = 196. Is f(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5410218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 62384 + 80738 - 5765 = 0. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*y - 436*y + 235*y + 17945 = 0 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4 - 984*h**3 - 11094*h**2 + 14036*h + 24144 = 0.\nAnswer: -12, -1, 2, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 156*c - 1048. Determine z(7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7138936.109737 - -7139023.2. Let v = a - 60.090224. Let y = v - 27. What is y rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352155.2l to millilitres.\nAnswer: 352155200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.004 and 15.039?\nAnswer: 0.060156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.04 + 7.040003. Round i to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 42, 67, 110, 177, 274, 407, 582, 805?\n\"Answer: s**3 + 3*s**2 + 9*s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**6\/360 + i**5\/40 - i**4\/3 - 6*i. Let v(y) be the third derivative of b(y). Determine v(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrnr when four letters picked without replacement from {r: 2, n: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18474450967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*c - 26*c - 1 + 32*c - 22*c in the form k*c + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*l**2 + 4*l**2 + l**2)*(l**3 - l + l)*(2 + 0 + 0)*(-2 - 3 - 1).\nAnswer: -156*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -249894*m. Let p(u) = 1296*u + 1. What is y(p(b))?\nAnswer: -323862624*b - 249894","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 10:20 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 46. What is the remainder when j is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 + 110110000110?\nAnswer: 110110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*z - 321, -5*g = -2*g - z - 312. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (11 + -6)) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -b0?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*b + 230 + 16, -4*m - 2*b + 326 = 0. What is the highest common divisor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 0.612465 days?\nAnswer: 0.087495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1 - 4*z - 2*z**2 + 4 + 4*z**2. Suppose -3*x - 32 = 4*o, -5*o - 5*x - 45 = -0*o. Let y(b) = 3*b**2 - 7*b + 5. What is o*r(f) + 3*y(f)?\nAnswer: -f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40420.\nAnswer: 2, 5, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*i**3 + 0*i**3 - 46*i**3.\nAnswer: -87*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 20. Let x = 66 - t. Calculate the remainder when x is divided by (-448)\/(-44) - (-4)\/(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 8*t - 28 = -v, 0 = -6*t - 2*v - 104. Suppose 4*r - 31 + 99 = 0. Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 39 - (-1 + -8)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 686 and 490.\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2233488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 831 = -168*x - 89*x. Calculate the smallest common multiple of x and 505.\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2737.985 + 2744. Let o = 6 - i. Let s = -0.036 - o. Round s to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 1162.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/5 in 0.4, -62\/65, 13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4 = -2*d, -p + 225*d = 220*d + 19. Let k(h) = 1. Let b(x) = 15*x**2 + 45. Calculate p*b(f) - 45*k(f).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-2\/69)*v)*v*v**5\/v*v**(-4\/3)*v**49)**(-2\/39) assuming v is positive.\nAnswer: v**(-808\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -126?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 135*a**3 - 135*a**3 + 52*a**4 + (-2 + 2 - 5*a**2)*(6*a**2 + 0*a**2 - 2*a**2) - 3*a**3 - a**4 + 3*a**3 + 3*a**4 - 3*a**4 + 2*a**4.\nAnswer: 33*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, a: 4, s: 4, x: 3, o: 5}. Give prob of picking 2 a and 1 s.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 7768.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + 2*d)*(1 - 1 - 1)*(0*d**3 - d**3 + 3*d**3).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 g, and 1 y when three letters picked without replacement from koywoyyyokoywoyygyk.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.348 - 7.348. Sort -311, s, 0, 0.4 in ascending order.\nAnswer: -311, s, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 12 + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62821426?\nAnswer: 2, 17, 1847689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 40*k + 71. Give h(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/8 and -55\/1802.\nAnswer: 7208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from occococ?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -5 (c) -83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/((g*g*(((g\/((g*g*g**2\/g)\/g*g))\/g)\/g)\/g*g)\/g)*g*g)\/g)\/g*g)**(-29)*(g\/g**3)\/g**(9\/4) assuming g is positive.\nAnswer: g**(-713\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-4 - (-6 - (5 + -14)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 4565615*p - 22828200.\nAnswer: 5*(p - 913128)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 2*r - 3*r)*(-37 + 67 + 19).\nAnswer: 98*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3 = 3*a, -b - 3*a = -11. Suppose 5*s = -2*t + 58, 2*s - 31*t - 25 = -30*t. Calculate the highest common factor of s and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -95579496, -95579493, -95579490, -95579487, -95579484?\n\"Answer: 3*z - 95579499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1775 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11769 - 39?\nAnswer: 11730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 + 115. Suppose 0 = -3*b - a + d + 27, -2*b - 5*a = -32. Is (0 + b)\/(4\/4) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, x: 2, u: 1, w: 2, y: 1}. What is prob of sequence ww?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Let t be 3\/(-9)*(p - 4). What is the second derivative of t - 1 + d + d**2 wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2466 = 2484 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**3 + 36\/7*h**2 + 2\/7*h**4 + 0 + 80\/7*h.\nAnswer: 2*h*(h - 20)*(h - 2)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 3. Let y be s(-4). Let g = 119 + -120. Sort g, y, 2 in increasing order.\nAnswer: g, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -746?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -345531510?\nAnswer: 345531514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohhohhhohhhhhoohoi. Give prob of picking 1 i and 2 o.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133575*b**5\/7 + 908535*b**4\/7 + 1732662*b**3\/7 + 986028*b**2\/7 + 172632*b\/7 + 288\/7 = 0. What is b?\nAnswer: -4, -2, -2\/5, -3\/1781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 251*t - 1248. Determine l(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25562840 rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2565487060.\nAnswer: 2, 5, 128274353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 + 1?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + -5745?\nAnswer: -5735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 11, 5, -47 in decreasing order.\nAnswer: 11, 9, 5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.8 (b) -4 (c) 508\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21423 and 232878.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14790 and 21954.\nAnswer: 54116610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 66870.7182 to the nearest 1000.\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -132, -133, -134, -135, -136?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 0.5, -10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s - 6*s + 3*s**2 + (-4*s - s + 4*s)*(0*s + 0*s - s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -8\/3*d**3 + 29\/2*d**2 - 28*d + 0. What is the derivative of k(g) wrt g?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 74? (a) 0.4 (b) -7.7 (c) -2\/25 (d) 26 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n**4\/5 - 2883*n**3 + 223107*n**2\/5 - 63153*n\/5 - 29106 = 0. Calculate n.\nAnswer: -1617, -2\/3, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3161, 6325, 9489, 12653, 15817?\n\"Answer: 3164*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 2*x - 10. Let m(v) = 5*v - 2. Determine m(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25090617791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 422734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u - 19. What is the smallest common multiple of (-4 + 20\/8)*(-5 - 1) and w(-4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262 divided by -345\nAnswer: -262\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12*(8\/(-6))\/4. Let l(k) = -k + 8. Let p be l(6). Solve 5*i = y*v - 9, 2*v = v + i + p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i + 127 + 3*i - 128 + 0*i. Give p(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 558717?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.027697 * -0.04\nAnswer: 0.00110788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z\/(z*z\/(((z\/(z**(-1)*z*z))\/z)\/z))*z*z)\/z)\/z**(-1))**46 assuming z is positive.\nAnswer: z**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - 38476*y**2 + 192280*y.\nAnswer: 4*y*(y - 9614)*(y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 - 3 = 0. What is the smallest common multiple of 9 and (2 - 0)\/(m\/21)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 7*u**2 + u. Let n(z) = -z - 4. Let v be n(4). Let o be s(v). Suppose p = -p + o. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from {q: 2, g: 1, i: 7}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 11\/281, -14\/3, 662 in decreasing order.\nAnswer: 662, 11\/281, -1\/5, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2726*z - 13 + 2750*z + 173 to the form r*z + w and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 43. Let v(t) = -2*t**2 - 18*t - 20. Calculate the remainder when 79 is divided by v(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 4*b - 4*b)*(-3*b**3 + 3*b**3 - 2*b**3) + 4*b**4 - 4*b**4 + 2*b**5 + (2*b**2 - 8*b**2 + b**2)*(178*b**3 + 109*b**3 - 357*b**3).\nAnswer: 348*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*y + 131 - 131 + y + y + 0*y + (4 + 1 - 4)*(2 + 2*y - 2) - 1 + y + 1)*(0*y - y**4 + 0*y).\nAnswer: 16*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 105?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/60 and -9\/104574220.\nAnswer: 313722660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4009a44 - -3?\nAnswer: -4009a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 10*f**2 + 11*f + 13. Calculate z(9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 755, 3671, 8691, 15947, 25571, 37695, 52451?\n\"Answer: 22*j**3 + 920*j**2 + 2*j - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-183)\/(-12) + 3\/(-12). Calculate the highest common divisor of 30 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 1584*v + 1580.\nAnswer: 4*(v + 1)*(v + 395)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 5*t**2 + 9*t - 6. Let u be c(3). Suppose -u*f - 2*f - 15036 = -2*k, 4*k = 4*f + 12036. Let l = f + 4283. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 145*a**3 + 860*a**2 - 1448755*a + 99910 = 0.\nAnswer: -103, 2\/29, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304903.1*0.07.\nAnswer: 21343.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 232*p**2. Let w(n) = 2*n**2 + 207. Determine w(d(m)).\nAnswer: 107648*m**4 + 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 128*y**3 + 4*y**4 - 3884 + 2765 - 496*y**3 - 6441 - 3*y**4 with respect to y.\nAnswer: 4*y**3 - 1104*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101547+-1.01\nAnswer: -101548.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*t + 216*t - 485 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*i - 46, -2*i = -2*v + i + 24. Let p(g) = -522*g**3 - 18*g**2 - g + 5. Let r be p(v). Round r to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 - 44. Let y = -83 + t. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 346963 divided by 7.\nAnswer: 346963\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 1416 = 1400 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 7792324.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36080665, -36080668, -36080671, -36080674, -36080677?\nAnswer: -36080680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 86 = 37*w - 36*w, 5*p = -w - 121. Let y be ((-9)\/6)\/(-4*(-18)\/w). Solve -2*b - 5*g - y = 13, 0 = -2*b - g - 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(0 + 2 + 3)*(-2*h + 3*h + 3*h)*(-2*h**2 + 5*h**2 + 0*h**2)*(3*h**2 - h**2 + 28*h**2).\nAnswer: -1800*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -322560 divided by -504\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(98) - (sqrt(98) + -1) - sqrt(98)) + -5 + -4 + -4 + 0)**2.\nAnswer: -672*sqrt(2) + 1138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 17*f = 12*f - 25172, -3*f = q - 25132. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-3))\/((-2450)\/(-2205)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 99. Let i = 43.1 - d. Let z = 2.1 - i. Are z and -2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -2.005, 2\/5, -5, 3 in descending order.\nAnswer: 3, 2\/5, 0.08, -2.005, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 28, 50, 84, 136, 212, 318, 460?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3287 * -3\nAnswer: 9861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.282?\nAnswer: -0.0846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w + 9*w + 9*w - 15*w - w + 5*w + 6*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w - 4 + 4. Let g(b) = -7*b - 3. Let q(y) = -2 + 2 - 2*y + 9*y + 2. Let r(p) = 2*g(p) + 3*q(p). Give u(r(d)).\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from xfuir.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (761 - (-580 - -1348)) + (35 - 0 - -1) + 1?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-19)\/114*-39)\/13)\/((-1)\/96)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 209*x**3 + 95*x**2 + 95*x. Let m be -91 - (1 + -5)\/(-190 - -189). Let i(o) = 13*o**3 + 6*o**2 + 6*o. Calculate m*i(q) + 6*h(q).\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + x - 2*x + 2*x + 2*x - 2*x + (-5*x + 2*x + x)*(-6 + 3 + 1) + 2*x + 0*x - 4*x - x + 0*x + 3*x - 12 + 12 + 9*x in the form o*x + i and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p - 34. Let g be m(-9). Let w(u) = u**2 + 5*u + 5. Determine w(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 1 + -3 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -52274 and -26.464?\nAnswer: 52247.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 199206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2800 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 208515 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: Simplify i**(2\/31)*i**(-25)*i\/(i**9\/i)*i\/(i\/i**(-6))*i assuming i is positive.\nAnswer: i**(-1145\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -690.16 - -690. Which is the biggest value? (a) 0.5 (b) -2 (c) -0.03 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 12746150*q\/7 - 12746152\/7.\nAnswer: 2*(q - 1)*(q + 6373076)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*b**4 - 2*b**3*i + 4*b**2*i + 295*i + 2 wrt b.\nAnswer: -164*b**3 - 6*b**2*i + 8*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(24)\/(sqrt(16)\/sqrt(2)) - (sqrt(300)*-1 + sqrt(15)\/(sqrt(20)\/sqrt(4))).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172 and 731?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/5750 and -17\/11.\nAnswer: 63250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 11*k - 10. Does 20 divide r(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1065788531 - -13.03\nAnswer: -1065788517.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-1 + 2*sqrt(1088)*1) + -5)*1 + 2)**2.\nAnswer: -320*sqrt(17) + 108804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*q + 157*q = -16*q + 7*q - 8410 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 - -4) + (-4)\/2 + 1122 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/7, -2, 666 in ascending order.\nAnswer: -2, -2\/7, 1, 666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -145706767480\/6699 + 21750525. Let n = u - -3\/203. Let o = 18.63 - 14.63. What is the third smallest value in o, -3, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9006396 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + -39.15. Let g = b + 0.104. Let t = g - -7.046. Which is smaller: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4495780*w**3 - 4495798*w**3 - w**2 + 2*w**2 - w**2.\nAnswer: -18*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 - 15 - 25 + 40 to h + i*n**2 + q*n and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -455534543516 and -2.\nAnswer: -455534543518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5762129543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 1. Let i(j) = -j - 1. Let z(d) = 13*i(d) + 6*s(d). Let l be z(-8). What is the first derivative of 6*g - g**4 + l - 5*g - g wrt g?\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4 = -2*w, -4*h = -0*h + w + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8 - (-18 + 11 - -6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*k + 52 = 10, -16 = 2*b - 4*k. Let y = b + 14. Suppose -y*t = 5*g - 427, 0*g + t + 412 = 5*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 56*b + 4146. Give n(-74).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = -x - 5*g, -2*x + 2*g + 6 = 0. Suppose t + 4 = x, t = -5*s + 5*t + 201. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 - -135. Let r be 79*5\/d - 6\/33. Is 2*(((-39081)\/(-6))\/r - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220134412 (base 5) to base 16.\nAnswer: e6403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -8*g**2 + 730*g - 12648 = 0.\nAnswer: 93\/4, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/s**(1\/2))\/s))**(-4))**2 assuming s is positive.\nAnswer: s**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.28 and 103.708555876?\nAnswer: 103.988555876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2 + 263*s - 3380. What is y(69)?\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5818.999993127 - 5819. Round p to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/85*5\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -23, -1, 3, 1670 in descending order.\nAnswer: 1670, 3, -1, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from whyywyhywyywyh.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 158 = -x + 3*x, -6137*d - 4*x - 310 - 34 = -6152*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**7)\/j)\/j)\/j*(j*j**(-8))\/j*j)**(-7) assuming j is positive.\nAnswer: j**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**4 - 1110*j**3 - 22284*j**2 - 103290*j + 126687 = 0. What is j?\nAnswer: -349, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01258 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3 = -3. Solve -5*w + w = 4*z + 12, 0 = -c*w - 3*z - 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4\/(-6)*-11*12\/48?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**4 - 36*m**3 + 123*m**2 + m + 4725. Let k(t) = -7*t**4 + 60*t**3 - 247*t**2 - t - 9451. Let w(n) = -3*k(n) - 5*y(n). Differentiate w(z) wrt z.\nAnswer: 24*z**3 + 252*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.193834m in centimeters?\nAnswer: 19.3834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + b + 120, b + 52 = n - 6. Let y be -8*((-52)\/(-8) - 2). Let z = y + n. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.490021 to two dps.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.44623313 rounded to four decimal places?\nAnswer: 4.4462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2430821, -2430826, -2430831, -2430836, -2430841, -2430846?\nAnswer: -2430851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 114*q**2 - 19*q - 38. Let d(x) = x**2 + x + 2. Give 57*d(t) + 3*v(t).\nAnswer: 399*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 65489383 to the power of 1\/2, to the nearest integer?\nAnswer: 8093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -130606*m**3*o + 2*m**3 + 198445*m wrt o?\nAnswer: -130606*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 4*y - 13. Let x(g) = -6*g**2 + 33*g + 12. Let f be x(6). What is v(f)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6. Is d + (290 - (1 + 2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 j, and 1 u when three letters picked without replacement from {u: 1, j: 3, r: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1647502, -1647547, -1647592, -1647637, -1647682, -1647727?\n\"Answer: -45*x - 1647457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8\/5 + -33\/20. Let j = 10077 + -10079. Put j, 0.1, n in decreasing order.\nAnswer: 0.1, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*x**2 + x**2 - 2*x - 3*x**2 - 83*x**4 + 0*x**2 wrt x.\nAnswer: -1992*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -114*r**2 + 3*r - 18 wrt r.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2. Let a(m) = -140532897*m**2. Calculate f(a(x)).\nAnswer: 39498990278425218*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 120, -2.\nAnswer: -4, -2, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/293 + 877\/586. Let o(y) be the first derivative of 8*y - 1 + u*y**2. What is the derivative of o(l) wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*t + 3*t. Let q = t + -1. Let x(g) = -g**3 - 3*g**2 + 2*g - 3. What is x(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -896*w**2 - 651*w. Let b(p) = 1791*p**2 + 1302*p. Let f(y) = -4*b(y) - 9*k(y). What is the second derivative of f(m) wrt m?\nAnswer: 1800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12\/11 - 38\/55. Let d be (0 + -1)\/((-10)\/8). Factor 0*q**3 - 2\/5*q + y*q**5 + 4\/5*q**2 - d*q**4 + 0.\nAnswer: 2*q*(q - 1)**3*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 + -49. What is the greatest common factor of k and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + b18?\nAnswer: b19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102802 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**2 - 9*f. Let w(a) be the third derivative of -a**4\/6 - a**2 + 183. What is w(x(m))?\nAnswer: 28*m**2 + 36*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 3:34 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/5)*i)**(-45))**(-17\/2))**(-24) assuming i is positive.\nAnswer: i**(-7344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21 + 52*i**4 - 127 + 797*i**4 wrt i?\nAnswer: 3396*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**4\/6 - 4*s**3 - 21*s**2. Let j be d(-6). Is 0 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 64.3. Let w = 6.7 - x. Sort w, 5, -0.1 in ascending order.\nAnswer: -0.1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 6*o**2 + 2*o - 7. Let y be h(7). Suppose y*m = 58*m + 6. Suppose 1 = -4*r - 3. Put m, 1, 10, r in ascending order.\nAnswer: m, r, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 16. Solve -3*k + l = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 7*i**2 + 9*i + 8. Let r be d(-8). Which is the nearest to 4? (a) 4 (b) -0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 2*g**2 + 3. Let o be m(2). Solve -6*x + x - 10 = -5*f, 0 = -2*f + o*x + 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2\/((36\/(-21))\/3))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11412513 + -3525?\nAnswer: 11404544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxkkxkkkkkkkkkxkkkkk. Give prob of picking 3 x.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -1612018, 2\/15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1042 + -1033. Calculate the highest common divisor of d and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109848968?\nAnswer: 2, 17, 541, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-13) - 165\/(-195)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1067*v - 2076*v + 1005*v + 289 to the form p + o*v and give p.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z. Calculate l(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -904*w + 1. Let q(s) = 910*s - 2. Determine -5*a(t) - 4*q(t).\nAnswer: 880*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (204\/(-85))\/(16\/140).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2bb (base 16) to base 14\nAnswer: -37d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -496547 plus 19189?\nAnswer: -477358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -701\/4 > 42470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79891086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1386\/(-324))\/77*2.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -796*b - 7010*b + 2485*b - 7380*b - 1.\nAnswer: -12701*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/24 and 5\/25309599.\nAnswer: 202476792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4 - 22 = 0. Suppose 2*z + x = 26. Calculate the lowest common multiple of 1 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 5*a**2 + 2*a + 6. Let d be f(-5). Let w be (-1)\/(7\/(70\/d)). Let w*p + 1 - 9\/2*p**3 - 3*p**2 = 0. What is p?\nAnswer: -1, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*f**2 - 4 + 284*f**3 - 574*f**3 + 338*f**3 + 4*f as n*f**3 + i*f + p + g*f**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 999 + 1403. What are the prime factors of n?\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -404484057190607 take away 0?\nAnswer: -404484057190607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 5*h**2 - 6*h - 3. Let a be (-1)\/(45\/20 - 2). Give x(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from baaxyxrkxakaaayxa.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -754*y + 142485. Determine o(189).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by (-3 - -3) + 21 + (-6)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 416 in 1, -0.5, 1\/10, -1\/7, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2. Let d(p) = -2*p - 6. What is f(d(v))?\nAnswer: 8*v**2 + 48*v + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 3, 2\/3, 1.7, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, 0, 1\/2, 2.\nAnswer: 0, 0.3, 1\/2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 23*f**2. Let d(v) = 151*v - 73*v - 76*v. What is n(d(m))?\nAnswer: 92*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8332 is divided by 3102?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 6, w: 1, a: 5, e: 6, q: 1}. Give prob of picking 1 q and 1 e.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 3\/100 (c) 48\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -15*t + 4. Let v(s) = -7*s + 2. Let z(j) = -6*i(j) + 13*v(j). Calculate the remainder when 21 is divided by z(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1752281.\nAnswer: 659, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1469 + 1469. Let n = 3160\/11 - 287. Is n bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 373*i + 207*i + 6960 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, -2\/11, -2\/1687?\nAnswer: -2\/1687","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - g - 1166 = -4*m, 3*g = -4*m + 1559. Suppose 9*d = m + 349. What are the prime factors of d?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f - 52. Let q be p(-28). Suppose -5*i + 4*x = -227, -9*i + 6*i + q*x + 133 = 0. What is the remainder when i is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y + 40. What is the lowest common multiple of 7 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i + 19. Calculate t(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352638 = -89*z + 51247 - 42901. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, j: 1, p: 6, a: 5, e: 5, u: 1}. What is prob of picking 1 a and 1 e?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 2535*u + 62568.\nAnswer: -3*(u - 24)*(u + 869)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 816510 and 623730.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -b6be0?\nAnswer: -b6be0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + ((-6 - -7) + -5 - -42 - 3).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**3 - 943881*w**2 + 5663202*w - 7550904 = 0. Calculate w.\nAnswer: 2, 4, 314621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 3. Let c be i(-8). Suppose 0*r + c*r - 25 = 0. Suppose 3*g = 9, r*g + 138 + 11 = 2*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m - 19. Let s be z(-6). Suppose -4*i - 13 = -s*i. Let u = -80 - -82. Solve -d - i = u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i\/(i\/i**(2\/5)))*i)\/i)\/i)**(-31)\/(i*i**(1\/4)\/i*i*i*i)**30 assuming i is positive.\nAnswer: i**(-541\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -80, -125, -174, -227?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*u - 3*d + 120, 5*d - 15319 = 3*u - 15326 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.3 - 2584.\nAnswer: -2588.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1120*o**2 + 69*o + 0 + 145*o**3 + 911*o + 0 + 5*o**4 = 0 for o.\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**2 + 711803*s - 9481929 wrt s.\nAnswer: -4*s + 711803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 20. Let w = 30 + p. Let j = w - 3. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l - 2. Suppose 0 = -n + 4*n - 6. Suppose 2*t = 6*t - 20. Suppose 2*a + 3 = n*d + d, -4*a = t*d - 27. Give v(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -156933 - -1098532\/7. Let a = -0.1 + 0.1. What is the biggest value in 35, 5, m, a?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453757.902 rounded to the nearest 10000?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = -4*q - 2*q + 3*q - 132, 60 = 4*h - 3*q for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - c - 4*c - 346, n + c + 173 = 0. Let h = -93 - n. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84609724?\nAnswer: 2, 43, 109, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*j - 112 = 0, 0 = -5*o - 4*j + 230 + 234. Suppose -98*r + 5305 + 6868 = 231*r. Calculate the remainder when o is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/90 + 14\/35. Let i(z) = z**3 - 11*z**2 - 12*z + 2. Let j be i(12). What is the closest to c in 1\/4, j, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3453*y + 600 = 3478*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**3 + 29*f**2 + 1926*f - 3960 = 0?\nAnswer: -33, 2, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 + 56*i**3 - 48*i**2 - 56*i + 52.\nAnswer: -4*(i - 13)*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/340 and 149\/816.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r + 2. Let l(t) = t**2 + 5*t - 19. Let q be l(-8). Suppose q*g + 16 = -4*f - 1, -28 = -4*f + 4*g. Let d(i) = 9*i + 5. Determine f*d(x) - 5*v(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213444300 - 3?\nAnswer: 213444242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = f - 65, j = 5*f - 136 - 85. Sort 2, f, 5.\nAnswer: 2, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*b - 5971 + 1797 = 2777 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/434)\/(-7 + 576\/84). Sort 0.2, x, 1\/2 in ascending order.\nAnswer: x, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -313*l + 326*l - 24674. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -341, -251, -199, -197, -257, -391, -611?\n\"Answer: -2*v**3 - 7*v**2 + 125*v - 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -16872910 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*j - 1006, 2*j - 2036 = 2*l - 6*l. Let t = l + -460. Calculate the smallest common multiple of 6 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-235 - -678) + -383 - ((-2 - -1) + 10).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/8)\/j**(-3\/14) assuming j is positive.\nAnswer: j**(-9\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 4*q + 2. Let u(v) = v + 1. Suppose -10*p + 60 = -20. Suppose -2*b - 30 = p*b. What is b*u(j) + z(j)?\nAnswer: j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = -13 + 41. Suppose f*d = 3*z + 2*z + 234, -131 = -d - z. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 1. Let g be m(3). Let x be (1950\/4)\/((-1)\/g). What is the tens digit of 1\/(-2) - x\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3 - 3\/(-9). Let d = 4 + -2. Suppose 4*x - 10 = 2. Put x, d, j in descending order.\nAnswer: x, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 9*f - 12*f. Find the common denominator of -27\/11 and 8\/(-16)*99*f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide -1*12*(128\/576 - 49434\/27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2055 divided by 5?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 61 - 70 + 3*n**2 - 4*n**2 + 4*n. Let t be -1*(-3 - (-8 + 0)). Let m be s(t). Sort -0.1, 4, m in increasing order.\nAnswer: m, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 87576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssffssfssffss. What is prob of sequence sf?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.2 - -2.2. Let p = -0.1 + 0. Which is the second biggest value? (a) p (b) 2\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110101111 (base 2) in base 15?\nAnswer: -d46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * -726153.\nAnswer: 943998.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/318 and -87\/242.\nAnswer: 38478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 15*s**2 - 38*s - 326. Determine k(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -1 (b) 3\/2759 (c) 352\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6482 - 6280. What is the remainder when 534 is divided by q?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11022 (base 10) in base 16?\nAnswer: 2b0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015394939 to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 293295779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 104, 86, 50, -10, -100?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35769\/19 + 1881. Let s = t - 1251\/38. Find the common denominator of 97\/18 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79410 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*p = 3*p, 2*m + 5*p = 0. Let f = 0 - m. Let h(s) = s**3 + 5*s**2 + 4. Let g be h(-5). Solve g*z + 4 = t, f = -2*z - 5*t - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49.5252 + 54.319. Let o = b - 4.8. Round o to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6036 rounded to two dps?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*w - 6*w. Let t = 3.43 + -3.53. Which is the third smallest value? (a) 2 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 5*x + 4*a, 4*x + a - 35 = 17. Suppose -9*n - 56 = -x*n. Suppose 22 = 2*w + 3*s - 8, -n = -2*w + s. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12 - 0.12. Let x = 145\/16904 + -47511405\/1301608. Let v = x + 258\/7. Which is the closest to f? (a) 4\/7 (b) v (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + (-11)\/(-55)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 71325811 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = f - 9. Suppose f*a = 51*a - 180. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 12) in base 16?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 625488 divided by 78186\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-15) - (-5)\/3. What is the biggest value in -11, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 252?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 4*y = -52, -136*v + 2*y + 5*y = -137*v + 13 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 369. Let h(o) be the first derivative of -4*o**2 + 2161. Give n(h(z)).\nAnswer: -64*z**2 - 369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17603*c + 15362 wrt c.\nAnswer: -17603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -11)\/(-16) - (-1242)\/4. Let m = l - -3408. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*h**3 + 211*h**3 + 70*h**3 + (-2 + 3 - 5)*(-2*h**3 + 0*h**3 + 3*h**3) to the form d*h + z*h**2 + t*h**3 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 425.80505 + 0.19495. What is the third biggest value in u, -3, -1, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 - 46679 + 46679.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -432959.\nAnswer: 24\/432959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 234*f + 39 - 5 - 203*f. Does 19 divide p(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + (32 - 1) + 71 + (-11 - 55).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 4)*(2*y + 3*y - 3*y) + 4*y - 2*y - 3*y - 6*y - 9 + 9 + (0 - 5 + 3)*(-4*y - 2*y + 4*y) - 2*y + 2*y + y as c*y + b and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 + 19. Is u != 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466133341 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473690939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a**(-2\/79)\/a*a*a)\/a*a**(-4)\/a assuming a is positive.\nAnswer: a**(-318\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 3*g**2 - 5*g + 8. Let x be 76\/20 + (-4)\/(-20). Let p be j(x). Solve 4 = -p*b + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 + 110. Let g(a) = t*a**2 + 7594 - 7594. Let u(f) = 2*f**2 + 2*f**2 - f**2 - f**2. Calculate g(u(n)).\nAnswer: 52*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3007767669 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*w + 583 - 622 = 0, -5*w = -8*g + 83 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.34 - -3.16. Let h = -3.3 + s. Put 0.4, 5, h in decreasing order.\nAnswer: 5, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 12 - (0 + (-1 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*l**2 + l**4 - 5*l**4 - 2 + 6*l**4 as d*l + a*l**2 + t*l**3 + v*l**4 + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**11\/z)\/z**17)**11 assuming z is positive.\nAnswer: z**(-77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-39)\/65)\/(-3))\/((-1032)\/129*22\/40).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/7*6\/9. Let v = -28813\/15 + 9606\/5. What is the closest to -0.2 in v, c, -1\/12?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577 is divided by 114.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -848 + 457. Let i = -390.793 - c. Let a = 0.314 - i. Round a to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1925 - 1840. Solve -10*r - g = 7*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**4\/3 - 476*r**3 + 512644*r**2\/3 - 677824*r + 2027776\/3 = 0. Calculate r.\nAnswer: 2, 712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*q - 4. Suppose o = q*o - 18. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = 4*w - 3*q + 5*q, 0 = 3*q - 9. Let p be (-4)\/(-28) - 220\/w. What is the derivative of -7*j**3 + 14 - p - 8 wrt j?\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*o + 40 = 0, 0 = -4*o - 8 + 24. Suppose -5*j = -f - 13, f = 6*f + j - 13. Suppose -f*l = -0*l - b. Solve 2 + l = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*u + 4*f + 7, 5*f = -25. Suppose 4*y - 12 = u, -l + 4*y - 26 = -0*l. Does 24 divide (-1012)\/l + (-8)\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - 42\/(-5)) + 68\/30. Which is the nearest to 1? (a) 1\/7 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + d**2 + 1060*d**3 - 1060*d**3 - 4*d**4 to g*d**3 + p*d**4 + t*d**2 + a*d + m and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008003 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000038746 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -50*i - 297. Let n be q(-6). Let v(k) be the first derivative of -6\/5*k**5 + 4*k + 0*k**n + 0*k**2 + 0*k**4 - 4. Differentiate v(a) wrt a.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 7:38 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 5*a + 0*a + 28 = 0, 2*f + 4 = 3*a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 8:42 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3343240 and 19466488?\nAnswer: 12616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lltllllt. What is prob of sequence lltt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73588 + 73590 + 7085*f - 147178.\nAnswer: 7085*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + n**3 + 2*n**2 + (1 - 1 + 2)*(-4*n - n**3 + 4*n) + (n + 5 - 5)*(-148 + 15*n**2 + 148).\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 197 + 406 = 11*q for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 15*l. Let d(m) = 2001*m - 4632. Determine d(h(v)).\nAnswer: 30015*v - 4632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-12))\/((-12)\/(-16)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*v - 3*k, k = 6*k + 25. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*t + 28308 = 0, 2*b = 3*t - 5*t + 14150. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -13*b - 1. Let q be 9\/3*3\/(-9). Let g be v(q). Let i = g + -7. Calculate the remainder when 17 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 10:02 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**4\/2 + 2*n**3\/3 + 2. Factor h(c).\nAnswer: 2*c**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1054 divide 48629452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, 0.56, 2\/3 in descending order.\nAnswer: 5, 2\/3, 0.56, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132 + -77. Let q(g) = 5 + 104*g**2 + 2*g**3 + g**4 - 57*g**2 - l*g**2. Let o(s) = -s**2 + 1. Let i(h) = 5*o(h) - q(h). Factor i(u).\nAnswer: -u**2*(u - 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -14*f + 102. Let h be j(7). Suppose -4*s - h*c = -c - 1627, 4*c - 4 = 0. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12869, -11268, -8601, -4868, -69?\n\"Answer: 533*i**2 + 2*i - 13404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*z = -z - 153, -z = o + 32. Let v = -11 - o. Suppose s + v = 3*y - 2, 11 = -y + 4*s. Solve a + y = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/5 + (-4176)\/(-120).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155174, 155226, 155324, 155474, 155682, 155954, 156296?\nAnswer: 156714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566630.\nAnswer: 2, 5, 56663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 4 = -17*i. Suppose 229 = i*j + 81. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 + 3*s - 3*s**2 + 0*s**2 + s**2 + 2*s**2 - 6*s**2 - s**2 + 0*s**2 - s**2 + (3 - 3 - s)*(1 + s - 1).\nAnswer: -9*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -11*r - 2. Let y be n(-1). Suppose 0 = -j + 2*j - 8. Which is smaller: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(24\/60) - 23\/4\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54184685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -7046 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -228*p + 1. Let r(s) be the second derivative of -s**4\/3 + 7523*s. Give r(t(d)).\nAnswer: -207936*d**2 + 1824*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**2\/5 + 3748*o + 8779690 = 0?\nAnswer: -4685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40086 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2318, -2320, -2322, -2324, -2326, -2328?\nAnswer: -2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**4\/32 + 17*b**3\/24 - 7*b**2\/2 + 13*b\/2 - 176. Determine w, given that o(w) = 0.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 1\/6 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -357 + 318 - (-1 - (-1 - -10))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from {f: 6, g: 1, n: 3, r: 2, t: 2, o: 4}?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = -2*t. Let v = t - 3. What is the third biggest value in v, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 14*p + 34. Let w(g) = g**2 - g. Let y(u) = -5*w(u) - 5*z(u). Factor y(b).\nAnswer: 5*(b - 2)*(b + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 192*b - 28571. What is x(149)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/4*1*(-12)\/6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(11))*-5)**2 + sqrt(11) + sqrt(11) + 4 + 3*((sqrt(88) - sqrt(88)*-3)\/sqrt(8))**2 + -3.\nAnswer: 102*sqrt(11) + 904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141568 and 113792?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1089 + -55?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25799677 to the power of 1\/2, to the nearest integer?\nAnswer: 5079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2033\/30 + 224\/3. Find the common denominator of -123\/10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.9 - 12. Let f = x - 0.1. Is f greater than or equal to 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111000 (base 2) to base 3.\nAnswer: -20211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbb when three letters picked without replacement from oogtbttogggbbt.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -51 (c) 0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*n - 71, -25 = -9*n + 4*n. What is the remainder when x is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x - 39. Calculate h(15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 503841659?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + (sqrt(288) - (sqrt(288) + -1))**2 - (5*sqrt(288)*-1 - (sqrt(288)*1 + -2 + sqrt(288))).\nAnswer: -1 + 84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -9*u - 2. Let y = -4 - -1. Let k be r(y). Suppose 2*z = -3*z + k, -3*q - 5 = -z. Solve -20 = 5*p + 3*i, q*p + 2*i + 9 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**2 - 14*z**2 + 3*z**2 as g + i*z + b*z**2 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4507 - -4510. Solve -4 = 2*v + 4*z - 10, n*z = 2*v - 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24145026.\nAnswer: 2, 3, 109, 36919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11 + -1 + 4 + -4. Let u be ((-5)\/45)\/(2\/s). Which is the nearest to u? (a) -2\/9 (b) 0.3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2702 - 2705. Which is the third biggest value? (a) -2\/37 (b) -0.7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23.7 + -2.7. Let n = -17 + z. What is the nearest to 1 in n, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6589.1 and -1.8.\nAnswer: -11860.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -288451, -1153829, -2596127, -4615345?\nAnswer: -7211483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.5. Let o = 0.442 + 4.558. What is the second biggest value in o, w, 3\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1341825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 + 2\/(-6). Let c be 90\/12*2\/(-3). Let u(x) = 5*x + 26. Let t be u(c). Solve 4*g + 5 = -m*g + d, d = t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/v**(4\/9)))*v*v\/((v**4*v)\/v*v))\/(v\/v**(1\/4))**(-11)*(v**(-1\/4)\/v**(2\/19))\/((v*v*(v*v**(-6)*v)\/v)\/v**2) assuming v is positive.\nAnswer: v**(1787\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12081552 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**2 - 11*j. Let s = -106 - -133. Let n(m) = 48*m**2 - 75*m. Let k(o) = s*r(o) - 4*n(o). Factor k(h).\nAnswer: -3*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/11 + 53420*x\/11 - 356712050\/11.\nAnswer: -2*(x - 13355)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 102753 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-2)*(-213)\/355.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 130 - 48 - 2*j**2 - 4*j**2 + 10*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*y + 5*p = 54, 46 = 2*y + 3*p. What is the highest common divisor of y and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/k)**31\/((k*k**1*k)\/k**(3\/4)))\/(((k**(-1)*k)\/k)**(8\/3)\/(k**(2\/7)*k*k*k)**(2\/55)) assuming k is positive.\nAnswer: k**(-283963\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10313, 41185, 92639, 164675, 257293?\nAnswer: 370493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51653 - 2147*k + 24157 + 25053 wrt k.\nAnswer: -2147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -470 + 488. Solve 0 = -b*k + 14*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23200)\/1722600)\/(6\/(-11))?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -200948373248.51\nAnswer: -200948373248.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-148)\/37*(-1 - 1\/(-2)). Solve 2*q + 5*w - 36 = -b*q, 5*w = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 170.1 (b) 0.2 (c) 81 (d) 1\/2 (e) 2 (f) 2\/5 (g) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -149 - 422?\nAnswer: -56b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-20))\/(4\/(-15)*171\/(-1482)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 1, z: 10, s: 5}. What is prob of picking 1 h and 1 z?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1015 and 158195?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 689*b**2 + 2781*b - 59. Determine y(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 119 = -3*k, n - 5*n - 76 = 2*k. Let f = -29 - k. Which is smaller: f or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3459*r + 847292. Calculate z(-245).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j + 4*j. Put j, -26, 2 in descending order.\nAnswer: 2, j, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrr when three letters picked without replacement from rrwrrrwrrwww?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 2. Let g(c) = 3*c + 5. Let i(l) = -6*g(l) + 13*j(l). Let r be i(-4). Let h = r + -7. What is the remainder when h is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489*r - 40 = 494*r. Let b be -26*(r - (-119)\/14). Let j = 0 - 3. Is j at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 209116894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.57 + -0.13. Let y = 0.3 - o. Let v = y - 1. What is the nearest to v in -3, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275888 (base 15) to base 14.\nAnswer: 37369a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 14, i: 2, o: 1}. Give prob of sequence oip.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -360 - -0.7844\nAnswer: -359.2156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1408504368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 4 - 1 + 1 + 2 + (-5 + 5 - 1)*(1 - 1 + 1))*(0*c + 2*c - 4*c)*(2*c**3 + 2*c**3 - 3*c**3) to s*c**2 + q*c + r*c**3 + x + f*c**4 and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 82318414 to the power of 1\/2, to the nearest integer?\nAnswer: 9073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*u**3 - 15*u**3 - 19*u**3 + 43*u**3.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-180)\/(-95)) + -1*3.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/7 (b) 3\/7 (c) -9 (d) 4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -13*d**4\/24 + 5*d**3\/6 + 143*d**2. Let y(t) = 12*t - 6. Determine 7*n(i) + 6*y(i).\nAnswer: -19*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13591653 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 7*o**2 + 5. Let w(j) = 3*j**3 - 22*j**2 + 16. Let d(i) = -2*w(i) + 7*x(i). Calculate d(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 3526 - 3522 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/4 + -1)*(-102)\/85. Solve -k*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 - 58. Suppose -18*z + 25 = -k*z. Suppose z*i - 138 - 577 = 0. Calculate the highest common divisor of 13 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27276205 is divided by 9008?\nAnswer: 8989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/144 and -115\/2376?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.8, 691, 10?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwcwwwcwwpw. What is prob of sequence ccwp?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 15. Is 10 a factor of 70*(-1 - j\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**10*n**(3\/4))\/(n\/(n*n**(-2\/17)*n*n)*n\/n**(-1)) assuming n is positive.\nAnswer: n**(-569\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-81)\/54*(-3)\/(18\/652)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h = -41*h - 12744. What is h rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -86.7?\nAnswer: 433.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3418 - -2?\nAnswer: 3420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.1, 0.4, -1\/7, 12.95?\nAnswer: 12.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -20*u + 14. Let a be c(12). Suppose 4 = -y + 12. Calculate the remainder when 85 is divided by 12\/16 - a\/y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*y**6 - 9074642*y**5 + 350968973*y**2 wrt y.\nAnswer: 1320*y**3 - 544478520*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 3*m - 1. Let r be l(-3). Suppose 6 = 4*g + d, -2*d - 14 = -g - 4*g. Let c(f) = 43*f**2 - 72*f**2 + 39*f**g - 1. Calculate c(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -8 + 2 + (0 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31941 (base 10) in base 11?\nAnswer: -21aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10 + 89573)\/(-2 - -20). Let z = -9180 + 4211. Let y = z + s. Find the common denominator of -133\/12 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 730*q**2 + 717*q**2 + 728*q**2 - 2984*q**2 + 857*q**2.\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 450. Let h = z - 148. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 - 18*c**2 + 2*c - 33*c + 35*c + 0*c to the form w*c**2 + s*c + x*c**3 + r and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -165*t**2 + 80*t**2 + 510 + 86*t**2 to y*t**2 + g + i*t and give g.\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -16*((-21)\/(-6) + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 11802*p + 208. What are the prime factors of s(5)?\nAnswer: 2, 29, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 3 - 4 - -4 - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 1 - 1 - -77444. Let y = f + -28446. Round y to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-278)\/(-4)*(4 + -2). Let v = n - 129. Solve v = -3*q + 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2697?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.4 + -0.4. Let d = -1.3 - -1.7. Put 2\/11, d, o in descending order.\nAnswer: o, d, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q = -37*q + o + 9, q + o = -5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 21 + 54*z + 156*z + 90*z - 172*z. Is 50 a factor of f(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.023, 27374, 0.2 in descending order.\nAnswer: 27374, 0.2, -0.023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 + 102. Suppose 0 = 2*b + 5*p - 26, -5*p - 26 = -2*b - 3*p. What is the greatest common factor of b and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6662?\nAnswer: 2, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008632983 rounded to 6 dps?\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -412, 3, 0 in increasing order.\nAnswer: -412, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*b + 1239. Let t(o) = 42*o - 347. Let a be t(10). Suppose -a = 2*d - b. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**3 + 26*w**2 + 20*w - 206. Let y(v) = v**2 + 4*v - 3. Let l(k) = k - 1. Let o(d) = 4*l(d) - y(d). Let a(u) = -h(u) + 6*o(u). Factor a(x).\nAnswer: -4*(x - 2)*(x + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63 + 2387556?\nAnswer: 2387630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(80) + 0 + sqrt(80) + -2 + -1 + sqrt(80) + sqrt(80))**2.\nAnswer: -192*sqrt(5) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164732 by 6.\nAnswer: -82366\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4655495377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 210220100210 (base 3) in base 12?\nAnswer: 189593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 - 5.2. Let k = 1.1 - w. What is the third biggest value in k, -5\/4, 0?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 110, 123, 136?\n\"Answer: 13*s + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9685502km in micrometers?\nAnswer: 968550200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -183 (base 9) to base 10.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -2620231555?\nAnswer: -2620231555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 12316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3091 divide 1715563729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(99) + -1 - sqrt(99)) + (1 + sqrt(99))*-3)**2.\nAnswer: 144*sqrt(11) + 955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22330 divided by -770\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -127*w + 1. Let y be q(-1). Suppose 0 = 3*v + 32 - y. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + v - 3)*(-4*v + 3*v - v)*(48 + 42 - v - 89 + 204*v**2)*(3*v + v - 2*v).\nAnswer: -816*v**5 + 4*v**4 - 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/43498385 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**4\/4 - 81980*a**3 - 2699904115*a**2\/2 - 190455198180*a - 26986082112405\/4 = 0. What is a?\nAnswer: -32721, -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 9*c**2 + 15*c - 7. Calculate the remainder when 165 is divided by i(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {u: 1, v: 1, z: 4, q: 2, n: 1, g: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/99 and -54\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76a784 (base 11) to base 16.\nAnswer: 12c28c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + 2 - (-1694)\/7 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 39848 = 2*m - 35474, -5*m = 5*t - 188280. List the prime factors of m.\nAnswer: 2, 19, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 20499*q - 164006. Calculate u(8).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707610.9 kilograms to nanograms.\nAnswer: 707610900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99658 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 1)*(-2 + 0 + 1) + 3 - 3 - 2 - 3 + 0 - 1)*(-4*r**3 + 3*r**3 - r**3).\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 16 = -4*j. Suppose -j*h + 36 = w + 2*w, -3*h = -5*w + 60. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2 - 17*b + 32*b + 4*b**2 + 25*b. Let v be x(-10). Let t be 2\/5 + 392\/20. Solve -6*j + v*j = -t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2. Let m(n) be the first derivative of n**2 - 3. Give m(c(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, t: 2, l: 3, q: 7}. What is prob of sequence ntn?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 2*i - 115 = 0. Suppose 1 + i = -3*t. What is the remainder when 17 is divided by (-46)\/t + (-2)\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 714 and 9817374?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*(sqrt(192) + (0 + 1 + sqrt(192) - sqrt(192) - sqrt(192)) + sqrt(192)*2 + -4 + 5) + 2)**2.\nAnswer: 512*sqrt(3) + 3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/6 + 2\/(-6). Let d = f - 7. What are the prime factors of (2\/4)\/((-1)\/d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j + 8. Give p(-14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 72*p + 285.\nAnswer: 3*(p - 19)*(p - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (92\/(21160\/(-1886)))\/((-4)\/(-2*10))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1616885626870 and -0.4?\nAnswer: 1616885626869.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/11))**7)**(-39)\/(((f\/(((f\/f**(3\/7))\/f)\/f))\/f)\/((f*f**5)\/f))**5 assuming f is positive.\nAnswer: f**(5197\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 628 = -7*r. Calculate the remainder when r is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70048 divided by -398.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 + 0*c + 0*c + 2*c**5 + 0*c**4 + 0*c**4 + (4*c - 6*c - c)*(2*c**4 + 4*c**4 - 4*c**4).\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*h**5 - 106*h**5 - 210*h**5 + (4*h**2 - 4*h**2 + h**2)*(3 + 0 - 2)*(2*h**3 + 0*h**3 - 4*h**3).\nAnswer: -240*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 229, 459, 691, 925?\n\"Answer: z**2 + 227*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -4\/31, -1\/5, 2438.\nAnswer: -1\/2, -1\/5, -4\/31, 2438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 203447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6034 is divided by 1968.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -91\/3, -2\/13, 0, -27\/4, -0.06?\nAnswer: -91\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 293*i - 1488. Let t be c(-5). Solve 5*f = 3*x - 26, 3*f - 361 = t*x - 377 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppqqoh. What is prob of picking 1 q and 1 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 27 = -7*z + 4*z, -2*z - o + 5 = 0. Suppose 0*x + 25 = 5*x. Suppose 0 = -5*n + x*y + 43 - 8, 0 = 5*n - 4*y - 32. Is n equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409233.\nAnswer: 7, 23, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/276*2*-2)\/(-1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*j. Let y be -3 + -4 - 8596\/(-1120) - (-2)\/16. Let -6\/5*g**2 + 2*g**3 + j - y*g = 0. What is g?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 - 4*h**2 - h + 2. Let v be g(-2). Factor -3*m + 45*m**2 + 3 - 4 - 7 + 21*m**v - 57*m**3 + 2.\nAnswer: 3*(m - 1)**3*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**4 + 19*i**3 - 27*i**2 - 34*i + 41. Let h(g) = 2*g**4 + 28*g**3 - 40*g**2 - 52*g + 62. Let r(j) = -5*h(j) + 8*p(j). Solve r(l) = 0 for l.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**7\/2520 - m**5\/120 + 7*m**4\/24 - 8*m**2. Let q(y) be the second derivative of z(y). Solve q(a) = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-15)\/6*(-42)\/(-25).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 48 + 42. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/((-24)\/(-5)))\/((-14)\/28). Let a = -1.1 + -11.9. What is the biggest value in a, i, 2\/13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 not equal to 1\/35612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z + 5. Let c(h) = 27*h + 99. Let b(n) = -8*n - 28. Let l(f) = 18*b(f) + 5*c(f). Give 4*l(m) + 7*u(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/((-18)\/(-72))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -525.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6896664 divided by 1724166.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 16*f**2 - 308*f - 304. What is x(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 124*g*r**3 - 26*g*r**2 - 38*g*r + 4*g + 7*r wrt r?\nAnswer: 744*g*r - 52*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2 + 91254*h - 693941043 = 0. What is h?\nAnswer: 15209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28415?\nAnswer: 5, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 19*q + 12. Let c = -4 - 2. Let i be h(c). Suppose 15*g - 17*g + i = 0. What is the greatest common factor of 405 and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 7, 4, -2, -86 in descending order.\nAnswer: 8, 7, 4, -2, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (1 - 4) + (4 - 8) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 27 = -4*k. Let d be k + (8\/1 - 4). Solve d = 4*b - 3*u - 2, -14 = -2*b + 4*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, -0.5, 0.1, -44, -3061.\nAnswer: -3061, -44, -0.5, 0.1, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m - 29. Let x be z(8). Solve x*h = -j - 6 - 6, 0 = -2*h - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = a + 1. Suppose 0*n = -a*n + 108. Let k = -23 + 29. Calculate the greatest common factor of k and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 7*t**2 + 6*t - 4. Let x be n(6). Let l be (-112)\/49 + x\/(-14). Is -2 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9669, 6017, -69, -8589, -19543?\n\"Answer: -1217*n**2 - n + 10887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124900 and 42?\nAnswer: 2622900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0)*(-7 + 2 + 0)*(b + b - 4*b).\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23892 + 430003\/18. Find the common denominator of (-302)\/180 + (-2)\/(-3) and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 0*a**2 + 9*a**2 - 8*a**2. Let w(q) = -11*q. Give g(w(y)).\nAnswer: 121*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00232 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 205 + -55. Suppose 3*b = s + 2*s + a, 4*b - 224 = -2*s. Calculate the common denominator of -87\/2 and b\/60 + (-1)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 27. Let h(p) = -p**3 - p. Determine h(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrywr. What is prob of picking 1 y, 1 j, and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*16*(-3 - 21\/(-6)). Suppose 4*k - 35 = 1. Which is smaller: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6557*w - 518 = 13151*w - 6520*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.037 and 2199.\nAnswer: 81.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uccv. What is prob of picking 2 c and 1 v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5688 - 3828. Let b = 595 - m. Let c = -870 - b. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.146185 - -0.2697. What is z rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 - 5*s**2 + 7*s + 1. Let h(v) = v**3 + 2*v**2 - 3*v - 1. Let y(l) = 3*g(l) + 7*h(l). Give y(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*m)*(241*m - 10*m**2 - 241*m)*(4*m**2 - 3*m**2 - 2*m**2) + 3*m**5 - 4*m**5 - m**5.\nAnswer: -32*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2674487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/3)\/(-2))\/((-10)\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-10)*(-10)\/4. Suppose -l*t - 9 = -29. Solve 3*y + 4*u = -t, -3*y + 3*u - 3 = -0*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 7*r - 11 - 67 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 73*o**2 - 358*o + 9. What is the tens digit of w(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 + 0.38. Let v = w + -0.2. Let u = 7 - 6. Which is the smallest value? (a) u (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6 = 2*c. Suppose -2*o - 5*w + c*w + 11 = 0, -4*o = -4*w + 28. Let y = -17 - -14. Put y, 1, o in descending order.\nAnswer: 1, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/64945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5680440 a multiple of 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 3*x + 4*x)*(17 + 219 - 5)*(-4 + 5 - 3)*(5*x - 6*x + 5*x).\nAnswer: -1848*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllll. What is prob of sequence lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 231427217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -39*x + 2595. Determine b(91).\nAnswer: -954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*i + 44 = 5*s, -3*s + 5*i = -44. Let j be (-30)\/(-8) - (-2)\/s. What is the remainder when -2*1 + 20\/j is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 17 = 5*d. Suppose -g + d = -2*g - 5*b, -5*b = 4*g - 36. What is the remainder when g is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -226825 - -742825. What is b rounded to the nearest 10000?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 62096474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 9*w + 34 = 6*w, w = -3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 454702 and 2273510.\nAnswer: 2273510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u - 2*u - 80. Which is smaller: u or 9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960127859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k + 23*k + 9 = 2*v, -3*v + 11 = k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (984\/(-615)*-230*(-5)\/20)\/(-2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319450308 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 4:16 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33665993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 297*x + 20*x - 131*x - 5580 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c9ba (base 13) in base 16?\nAnswer: dd17","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**3 - 2 - 1 + 4)*(-2 + 2*b + 2).\nAnswer: -10*b**4 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7556310?\nAnswer: 2, 3, 5, 113, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1625, -1315, -477, 1153, 3839, 7845, 13435, 20873?\nAnswer: 30423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**3 - 7796*j**2 + 2951360*j - 315072400 = 0. Calculate j.\nAnswer: 230, 1489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -63, -83, -103, -123, -143?\n\"Answer: -20*a - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(1872)*-1*-1 - sqrt(1872)) + 6*(sqrt(1872) + (sqrt(1872) - (-1 + sqrt(1872)))) + sqrt(1872)*1*-4 + -1)*-6)**2*1.\nAnswer: 8640*sqrt(13) + 270468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-12)\/2))\/(68\/340)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.058114 + 100.972114. Let d = c - 101. Let r = d - -0.1. Round r to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - r - 4 = 0, 4*r = 2*o - 0*r + 2. Let m = 17.8 + -18. Let w = -302 + 306. Which is the nearest to o? (a) m (b) 0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - r + 1. Let i(k) = 2*k**4 + 18*k**3 + 57*k**2 + 51*k + 3. Let b(y) = -3*c(y) + i(y). Factor b(v).\nAnswer: 2*v*(v + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 236171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 156907.2mm?\nAnswer: 0.1569072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -79*w - 2 + 273*w + 5 + 70*w. Let s(a) = 265*a + 4. Let f(g) = -5*s(g) + 6*y(g). Is f(1) 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 {t: 2, x: 9}. Give prob of picking 2 x and 1 t.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -12. Put n, -1, 4 in descending order.\nAnswer: 4, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 11:35 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - c + 7. Let s(g) = g - 1. Calculate -6*s(k) - x(k).\nAnswer: k**2 - 5*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1071 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 271*m**2 - 20660*m + 4675. What is z(333)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.172509 - -1275.797491. Let c = 1276 - i. Let z = -0.1 - -0.6. Put z, 0, c in ascending order.\nAnswer: 0, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1022 + -447. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -4, -220, 5 in decreasing order.\nAnswer: 5, 4, -4, -5, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/7 + 165*z\/7 - 800\/7.\nAnswer: -(z - 160)*(z - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 360*a + 10 = -356*a, c + 2*a - 15 = 0. Solve -4 = -2*l + 3*l, c*l + 22 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 14 = -1468*c + 1469*c, -2*c = -3*r + 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*a**3 + 311*a - 296*a**3 + 33*a**3 - 310*a to t*a + g*a**2 + n + c*a**3 and give c.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.79 + -0.21. Let o = y - -7.4. Let w = 0.5 + o. Are w and -0.1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 204224284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -4*p + 77 + 12, 154 = -9*o + p for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 3\/7*a**3 + 0*a**2 - 3\/28*a**4 - 12\/7*a + 27. Find f, given that o(f) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566*v = 584*v - 5652. Calculate the remainder when v is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.046*0.2.\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39778.01l to millilitres.\nAnswer: 39778010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 3*t + 4*b = -18, 4*b + 28 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 111*g + 46. Let j(k) = -42*k**2. Determine b(j(o)).\nAnswer: -4662*o**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.21, -17.98, 3, -1\/87 in ascending order.\nAnswer: -17.98, -3, -0.21, -1\/87, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-22*(-4)\/8)\/(54\/(-54))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(66*i + 13*i - 237*i) - 7*i + 17 - 17 + 2*i + 3 + i + 0*i.\nAnswer: 154*i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 262 - 249. Solve 2*b - 2*t - 6 = 0, 1 = 3*b - 4*t - z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u. Let b(f) = 38*f. Calculate b(l(j)).\nAnswer: -114*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -709?\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 42. Suppose -v + 3 + 4 = -2*k, 5*v - 9 = -3*k. Solve -x = 5*o - v*d, 3*d - 10 = d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 201*n + 38708. What is t(119)?\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1163 = 2*c - 3*n, -5 = 2*n - n. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 226 or -190083?\nAnswer: -190083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3556 + -2675. Is 73 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -5\/7 (c) 4 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c**(-2)\/c)\/c)**(20\/7))**(1\/29))**19 assuming c is positive.\nAnswer: c**(-1140\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5) - 216\/(-40). Suppose s - m*s + 76 = 0. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -173, 0.4, 3, 0 in ascending order.\nAnswer: -173, 0, 0.4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.11257871 from -41.\nAnswer: -42.11257871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*c + 4*a - 20, 3*c - 5*a + 12 = 0. Let v(w) = -w + 3. Let b be v(3). Suppose b*y - 16 = -4*y. Put 0, y, c in ascending order.\nAnswer: c, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k - 51 = -176. Calculate the highest common divisor of k and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - 27 - (2 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, n: 1}. What is prob of picking 2 o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 90, 0.2 in descending order.\nAnswer: 90, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.854 plus -14643?\nAnswer: -14651.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.5567 rounded to one decimal place?\nAnswer: -38.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10826 + 592\nAnswer: 11418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60133134 to the nearest integer?\nAnswer: 7755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*r - 6, 2*x - 15 = -r + 7*x. Let j = 11 - 6. Suppose -4*v = g + j, -v + 5*v = -4*g - 8. Which is smaller: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-444)\/9 + -54 + 11408\/186?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -0.8 (b) -0.326 (c) -4 (d) 0.5 (e) 84 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d + 13*d + 14*d - 1096842 = 0. Is 216 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6077.875ml to litres.\nAnswer: 6.077875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**3 - 2*k. Let s(d) = d**3 - d. Let f(r) = -2*r + 9. Let x be f(5). Let j = 567 + -565. What is j*s(v) + x*q(v)?\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -41321 divided by 1?\nAnswer: -41321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -505423669*c**3 - 2*c**2 - 597278919*c wrt c.\nAnswer: -3032542014*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.593423ml?\nAnswer: 0.007593423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, p: 2, g: 12, c: 2}. Give prob of sequence chg.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b + 3*r = -11, 0 = 4*b - 2*r - 10. Let d be (-16)\/(-5) - b\/10. Let g = 5680 - 5675. Solve g*m = 8*m + d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -13 + 3*(-100256)\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from bmymybmmmmbmy?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55627079 is divided by 11125413?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439 = -3*t + 433. Let c(b) = 5*b**2 - 23*b - 48. Is c(t) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/(-182)*-62 + -1*3\/7. What is y in -2\/5*y**5 + 0 - 6\/5*y**3 + 2\/5*y**2 + 6\/5*y**j + 0*y = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmfdlmmmlmgm. What is prob of sequence gm?\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2, -83662 - 10124 = -4*m - 2*v. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 6:18 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 405*s + 2650. Give g(-6).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.22, 5\/3248, 3.48 in decreasing order.\nAnswer: 3.48, 5\/3248, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -769224 by -192306.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -12) + -10 + -24.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 2944 = -9956. What is the greatest common factor of y and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g - 20. Let r(i) = -i - 6. Let d(n) = 7*r(n) - 2*w(n). Give d(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + -11. Let y be (k\/16)\/(2\/(-8)). Solve 5*u + 8 = -y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/6)\/(3\/54). Suppose 2*p + m = 4*p. Suppose -p = -v - 0. What is the highest common divisor of v and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-26))\/(90\/(-72))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 5*w - 3*w)*(38*w + 54*w - 57*w) + 2*w**2 + 0*w**2 + 0*w**2 + (-3 - 1 + 3)*(w**2 - 1 + 1).\nAnswer: -69*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -2442?\nAnswer: 2446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, i: 11}. Give prob of picking 4 i.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/38 - 138978\/(-114) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m - 8. Let k be ((-3)\/5)\/(3\/30*m). Solve -2*b + 5 = -h - 0, -k*h + b = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + q - 76. Is m(27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a tonne in kilograms?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 3:04 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r - 9. Let w(l) = 20*l + 26. Calculate -14*c(z) - 5*w(z).\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w - 13*w**2 + 22*w**2 - 3*w - 8*w**2. Let h(p) = -3*p**2 - p**2 - p**2. Give g(h(a)).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/6 - 5\/10. Let l be (-7 - d) + 0 + 9. Solve 14 + l = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -116 in descending order.\nAnswer: 4, -3, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84.16 + 1.16. Let g = 82.6 + h. Which is the second smallest value? (a) 10 (b) -2\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from wjjrjwwnonojjorrrwjc?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*(-4*(sqrt(1620) - (sqrt(1620) - (-2 + sqrt(1620)))) - sqrt(1620)).\nAnswer: -450*sqrt(5) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197011113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/(-44))\/(5*9\/12).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = -1. Suppose t - 135 = -m*t. Suppose 0 = -x + t - 9. What is the smallest common multiple of 10 and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/7)*h**(3\/4)*h\/(h\/h**(1\/2))*(h**(-9)*h)\/h*(h**(-1\/7)\/h*(h**(-6)\/h)\/h)**(21\/8) assuming h is positive.\nAnswer: h**(-885\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y - 12*y - 65 = 0. Solve 3*d + 2*s - y = -0*s, 3*d = 4*s - 19 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*f = -52 + 39, 4*z = 4*f + 20. Does z = 6\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 = -5*i - 2*q - 173, q = -5*i - 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)*k)**(4\/31)\/((k*k\/k**(3\/2))\/k)**46 assuming k is positive.\nAnswer: k**(5011\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -4*p + 8. Let m be (-1092)\/(-549) - 5\/((-20)\/(-8)). Let j = 67\/549 + m. Which is the third smallest value? (a) j (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 748 or 745?\nAnswer: 748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 397, -2, -1337, -132 in increasing order.\nAnswer: -1337, -132, -2, 3, 397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-10)*y)\/(((y*y**(-4\/3)*y*y)\/y)\/y))\/((y*y\/y**(5\/3))\/(y**(-5)\/y)))**(-2\/65) assuming y is positive.\nAnswer: y**(6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 692, 2703, 6056, 10751, 16788, 24167?\n\"Answer: 671*b**2 - 2*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-22)*-91)\/(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 31, -2, 4, -13 in descending order.\nAnswer: 31, 4, -2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 795857 less than 275?\nAnswer: -795582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i - 3*i + 5*i + (-7 + 3 + 2)*((5 - 2 - 1)*(-i + 3 - 3) - 10*i + 15*i + 14*i))*(-4 - 2 + 4) to m + v*i and give v.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3 or 1.3206?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/4))**(3\/4)*s**2\/s**(-3))**(-1\/5))**(-5\/7) assuming s is positive.\nAnswer: s**(11\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -6654, 0.5, -5, -7 in decreasing order.\nAnswer: 0.5, -0.07, -5, -7, -6654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 1\/9, -0.14, -4.7, 5?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(4 - c - 4) + c - 4*c + 5*c + 70*c + 5*c - 21*c.\nAnswer: 58*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 45\/8 of a tonne?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -332, -3\/2, 1\/7, 0.4, 2\/11?\nAnswer: -332","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glfflgofgfg. What is prob of sequence flgo?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/(-15))\/((-1414)\/(-3636)))\/((-6)\/100)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*g + 121*g = 41*g - 68*g + 4922 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, i: 1, n: 1, z: 4, o: 3, t: 7}. What is prob of picking 1 i, 1 o, and 1 z?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 13*z**2 - 53*z - 75. Give j(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 5:55 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102341\/24 - -4262. Let w = -15\/8 - f. Let q = 12.4 - -4.6. Sort q, w, 5 in descending order.\nAnswer: q, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9398 from 4.\nAnswer: -9394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 197*q**2\/2 + 8*q - 10. Let x be l(-4). What is x rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.914 - 9.57319?\nAnswer: -4.65919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/66052 and 53\/182992348.\nAnswer: 1280946436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2\/(-3)*9\/78)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1381\/(-5))\/(-2*12\/120). Let p = x + -1381. Factor p + 3\/2*b**2 - 2*b**3 + 1\/2*b.\nAnswer: -b*(b - 1)*(4*b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -555525 divided by 5?\nAnswer: -111105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 + 1 = 0. Suppose 0 = -t - 5*t. Let r be 0\/(6\/(-2)) + t. Solve -n = -5*h - 5*z, r = 5*h - 0*h - 2*z - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 32261 - 31355 = 4049. Which is smaller: g or 4510?\nAnswer: 4510","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5025*k**2 + 183*k - 60. Let i(w) = -1675*w**2 - 64*w + 20. Let r(p) = 3*b(p) + 8*i(p). Find the second derivative of r(n) wrt n.\nAnswer: 3350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Suppose c*b + 3*a = -2 - 0, -2*b = a - 2. Solve -1 = 3*v + b, o - v = -4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = s - 72. Let k(f) = -f**3 - 8*f**2 + 21*f + 22. Let b be k(-10). Calculate the greatest common divisor of s and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 12 = 3*i. Let s(z) = -z + 5. Calculate the least common multiple of i and s(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.042, 3, -0.06 in descending order.\nAnswer: 3, 0, -0.042, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1954 + 60?\nAnswer: 19b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-4\/3)*l)**0*l\/(l\/(l\/(l**(1\/13)*l)*l))*l**12*l assuming l is positive.\nAnswer: l**(181\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z - 9. Let s(x) = -4 - 18 + 0 + 16*x - 6 - 8*x. Calculate 11*d(i) - 4*s(i).\nAnswer: i + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 19579939.4546?\nAnswer: -19579939.2546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -265*j**3 + 431*j**2.\nAnswer: -1590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 203 - 201. Let q be 9 + 357 - (-7 + r). What is the highest common divisor of q and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 + (-5)\/(-3). Let w = -36950 + 406451\/11. Which is the nearest to -3? (a) -1\/4 (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*g + f = -52*g - 3, -6 = 4*g + 2*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -0.3. Let d = -6 - -8. Let x be (-15)\/50*(-4)\/3. Which is the nearest to d? (a) -1\/3 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 - 2*v**2 + 2*v**2 + (-4*v**3 + 3*v**3 + 3*v**3)*(-5*v + 3*v + 3*v) + 7*v**4 - v**2 + 58*v**3 - 168*v**3 + 112*v**3 - 6.\nAnswer: 8*v**4 + 2*v**3 - v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 683 minutes before 2:54 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -16. Let f be g*201 - (22 - 19). Calculate the highest common factor of f and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/80 and 153\/96 + (-1 - 2)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4787 - 66 = -13*p + 1725. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 66*y - 319. Calculate j(61).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -301 + 304. Let a be ((4\/3)\/1)\/1. Sort a, 2\/17, s in descending order.\nAnswer: s, a, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/7)\/f)\/((f**(-1)*f)\/f)*(f**(-2\/7))**25)**5 assuming f is positive.\nAnswer: f**(-235\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**2\/2 + 2*m - 2. Let c(t) = -t + 6. Let i be c(-30). Suppose -11*s = 41 + i. Give k(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**7\/231 + w**5\/55 - w**3\/33 - 12*w. Determine h, given that j(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7 + 10 - 3 + 14*c**2. Let b(v) = v**2 + 4. Let t(s) = 2*s**2 + 7. Let i(o) = -7*b(o) + 4*t(o). Calculate p(i(f)).\nAnswer: 14*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from yydddyyddd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p - 32 = -13*p + 3*i, 0 = 3*p + 3*i - 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27d6b (base 16) to base 14.\nAnswer: 43679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3264 is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -294 + 297. Solve -m = -4*i + 16, -4*m - 4*i + 8 = -p*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*k + 57*k + 137*k + 51*k + 51*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 956467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1658930 and -101\/382830?\nAnswer: 4976790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. What is the second derivative of 12*o + 22*o**4 - c*o**3 + 2*o**3 - 5*o**4 wrt o?\nAnswer: 204*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from {t: 1, o: 1, k: 1, d: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31.1 * -10.9.\nAnswer: -338.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113901147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10210 + -10?\nAnswer: -10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -72, 1588, 0, 3 in decreasing order.\nAnswer: 1588, 3, 0, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*o - 20 - 36 = 0, 36*o = 5*k + 31*o + 50 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - ((-117)\/15 + 6). Let k(g) = g + 1. Let s be k(-4). Let z be 15\/9 + (-1)\/s. Is p at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157082 is divided by 135.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 223*v**2*z**3 - 20*v**2*z + 2*v**2 - 3*v*z**2 + 18*v*z + 3*z**4 + 3*z**3 + 2 wrt z?\nAnswer: 1338*v**2 + 72*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.4 + -31.652. Let p = -56 - r. What is p rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n - 15*n + 205. Let y = -25 + n. Solve 3*w + y = 7*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 7930546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -6708, -5 in decreasing order.\nAnswer: -5, -7, -6708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -12, 3*m - 1873 = -4*c - 369. Is c a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006522553 to seven dps.\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505*a - 554*a - 927*a.\nAnswer: -1986*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*v**4)*(6 + 2*v - 6) + 0*v**5 - v**5 + 0*v**5.\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 803 = 38*m - 186 + 267 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15798.27 and 50.\nAnswer: -789913.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*(-90)\/54*4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (276\/12150)\/((-2)\/69). Let s = 19\/27 + d. Suppose 12*z = 8*z - 16. Which is the nearest to -0.1? (a) z (b) s (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.151 + 0.03. Let r = 0.1209636 + w. What is r rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12 + -1.4. Let y = 0.28 + q. Let d = -0.13 - -0.23. What is the nearest to y in -0.5, -0.4, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m**3 + 2*m + 1. Let g(k) = k**3 - k**2 + k + 1. Let f(o) = -2*g(o) + i(o). Let h be f(-1). Is (h\/(-20))\/((-2)\/(-2056)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -321, -6, -0.433, 5 in descending order.\nAnswer: 5, -0.433, -4, -6, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 5 (c) -1\/54 (d) -8 (e) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 45*s - 360. Let u(z) = 4*z + 4. Give 90*u(k) + x(k).\nAnswer: 405*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 4*t + t)*(64*t + 96*t + 81*t) to g*t + m + n*t**2 and give n.\nAnswer: 964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (48\/(-18))\/((-4)\/6). Solve d - h = 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182589*125\nAnswer: -22823625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*g = 0, 4*h + 3*g + 1 = 2. Let a be (-1 - h)\/(4\/6). Is a at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*k - 3*x - 3, -3*k + 2*x = 3. Which is the third smallest value? (a) 0.2 (b) k (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637*f + 4281 - 1730 + 4456 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 9*q**2 - 9*q + 8. Let f be d(-8). Differentiate 2 + f*y**3 - 16*y**3 + y**4 wrt y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**4\/48 - 5*l**3\/24 - 3*l**2\/4 + l - 9. Factor p(b).\nAnswer: -(b + 2)*(b + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5\/3 - 1702*h**4\/3 + 3398*h**3\/3 - 566*h**2.\nAnswer: 2*h**2*(h - 849)*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 4*q**2 + 5*q**2)*(-222*q - 176*q + 55*q).\nAnswer: -1029*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 9, 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -45*v**4 - 735*v**3 - 845*v**2 + 815*v - 150 = 0.\nAnswer: -15, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 26*f + 4. Let o(l) = l - 1. Let h(q) = 3*o(q) + y(q). Let p be h(1). Let j = -20 + p. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 897, 1799, 2703, 3609, 4517, 5427, 6339?\nAnswer: 7253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/15)*m\/(m\/m**5)*m**(4\/3)*m*m**(2\/7)\/m assuming m is positive.\nAnswer: m**(709\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(720))**2 + 2)*-6.\nAnswer: -4332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a027 + b59?\nAnswer: -92ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m + 1\/10*m**2 + 0 - 2\/5*m**3.\nAnswer: -m**2*(4*m - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 3 + (12 - 15) + 1 + -3\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = -7*c - 30. Let v be (1 + 0\/10)\/((-1)\/c). Factor 0*a - 1\/7*a**v + 0*a**3 + 1\/7*a**4 + 0.\nAnswer: a**2*(a - 1)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 23, 5, -3 in descending order.\nAnswer: 23, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from preperheddhre?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/35)\/(3\/(-14)). Suppose -s*w = -265 + 9. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4575 + 1 + 11\/3 + 152\/(-228) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {s: 3, x: 15}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36758*a**3 - 29970*a**2.\nAnswer: 220548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -39330 divided by 13110?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 10:37 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-230)\/(-4)*18\/5 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-3*5)\/(sqrt(8) - sqrt(72)\/(sqrt(63)\/sqrt(7)) - sqrt(8)) - (-2*(3 + sqrt(19) + 1) + sqrt(228)\/(-6*(sqrt(12) - sqrt(12)*-2))))**2.\nAnswer: 2456*sqrt(19)\/9 + 1811467\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**2 + 7*f + 9. Let h be b(-6). Suppose -h = -4*j + j. Suppose -5*n + j + 14 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 1 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 - 0 - (-1 - 1). Calculate the remainder when (320\/56)\/(24\/84) is divided by 54\/4 + v\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 13. What is the common denominator of 6 + (3 - g) + 131\/14 and 97\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 9. Suppose -5*y = 132 + f. Let d be (-171)\/y + 2\/(-6). Solve -h = 1 - d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8471*x**5 + 37*x**4 - 501105*x wrt x?\nAnswer: -169420*x**3 + 444*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 2. Let c be y(-2). Suppose 0*o + c*n = 5*o - 266, 3*n = 6. What is the remainder when o is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35671, 71364, 107057, 142750, 178443, 214136?\nAnswer: 249829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 3*w**2 + 3*w - 1. Determine j(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -c9ac (base 16) in base 6?\nAnswer: -1035004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 142, 10, -352, -1058, -2222, -3958, -6380?\n\"Answer: -19*v**3 - v**2 + 4*v + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b. Let m(a) = 8299*a**2. Determine j(m(t)).\nAnswer: -74691*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**4 + 0*n**4 + n**4)*(8 - 33 + 17) - 2*n**4 + n**4 - n**4 + (5*n - 3*n - 3*n)*(2*n**3 + n**3 - n**3).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**3 - 14764*y**2 - 147324*y - 309204 = 0.\nAnswer: -3681, -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0401 in 0.3, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*j = -185*j - 594 - 31. What is the highest common divisor of j and 7025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + -3*sqrt(11))*-4)**2 + 0.\nAnswer: -4320*sqrt(11) + 17856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -3*i + 2*l + 108, 0 = -4*l. Let p = 60 - i. Suppose -3*k + 11*k - p = 0. Solve 0 = v - k*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1380, -3780, -6172, -8556, -10932, -13300?\n\"Answer: 4*o**2 - 2412*o + 1028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s. Let q(v) = -1868*v - 4. Give p(q(w)).\nAnswer: 11208*w + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6021 + 6084. What is the highest common factor of r and 525?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6035*b**3 + 6036*b**3 + 5*b - 5*b.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(4\/(-7))*-16. Let d = -2 - n. Solve 1 - d = 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*f - 4*f - 7*f)*(-3*f + 3*f + 2*f) + (3 - 8 + 0)*(-4 + 4 + 2*f**2) in the form a*f**2 + v*f + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.393607 nanometers?\nAnswer: 0.000000000006393607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 23*v - 620. Let z be d(27). Let f = -0.1 + 0.3. Which is the closest to z? (a) -0.2 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and (-70)\/(-8) - (-1)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**1*x)\/x)**(2\/11)*x**(-1\/2)*x**(-1\/11))\/(((x\/x**(-2\/7)*x)\/x)**(-3\/5))**(1\/15) assuming x is positive.\nAnswer: x**(-2077\/3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. What is the third derivative of -2*j**5 - 3*j**2 - 2*j**5 + 0*j**q wrt j?\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138 or -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -94\/550307?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -788*g = -790*g - 12. Let m be ((-1)\/g)\/(2*(-5)\/280). What is the biggest value in m, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*b + 7, 2*r + b + b = 4. Let m be (r\/(-9)*0)\/1. Suppose m = 5*u - v - 135, 6*v - 5*v = -4*u + 108. What is the greatest common factor of 135 and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3 - 2 = 2*u, 4*j + 4*u + 20 = 0. Let b(c) be the third derivative of -c**6\/30 + c**5\/60 + c**4\/3 - 2*c**3\/3 + 2*c**2. Is b(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 162435 + 0?\nAnswer: 162435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*21 - 233873\/11219. Factor 4\/13*o**2 - 6\/13*o**3 + 0*o + 0 + 0*o**4 + i*o**5.\nAnswer: 2*o**2*(o - 1)**2*(o + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 3*f - 3. Suppose 0 = g + 4*n + 15, -n + 3*n = -2*g - 6. Calculate the lowest common multiple of u(4) and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-25)\/(-20) + (-79)\/(-4). What is the highest common divisor of g and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (-30)\/3 + 0. Is v greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/4)\/(-2)*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 17*h**2 - h - 2. Let u be b(-2). Suppose 32 + u = 4*f. Solve 5*r + f = 5*g, -4*g + 3*r + 5 = -10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -154200 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/(-12) - (-378)\/(-56)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 17*j**2 + j - 21. Let q be u(17). Let v(b) = -10*b. Let a be v(q). Is 785 - (16\/a)\/(2\/(-10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 255715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2229398*y**2 - 11*y. Let s(b) = 3*b. Calculate s(m(r)).\nAnswer: -6688194*r**2 - 33*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 378*b + 11907.\nAnswer: 3*(b - 63)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from {m: 16, q: 1, x: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q**3 - 172*q**2 + 191*q - 2182. Give g(28).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-25)\/(q*q\/(((q\/q**9)\/q*q)\/q)))\/(q\/(q\/q**(2\/45))*q*q**(-16)\/q))**(6\/17) assuming q is positive.\nAnswer: q**(-1804\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1660 (base 8) in base 4?\nAnswer: -32300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 + -104. Let f = 519 + 5792. Let m = -1811255\/287 + f. Which is smaller: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2*l = 7*v - 2, -4*v - 2*l = -10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 710\/14 + 9 - (-1)\/(14\/4). Calculate the greatest common divisor of o and 980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**4 + 2*b**3 - 5*b. Let u(y) = -4*y**4 - 7*y**3 + 15*y. Let d(r) = 14*t(r) + 4*u(r). What is the second derivative of d(a) wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -0*c - 2*l - 18183, 0 = -5*l + 5. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*v + 16*v + 1659118. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*o - 60*o - 27*o)*(0 - 4 + 6)*(-3*o**3 + 3*o**3 + 3*o**3) to the form b + q*o + x*o**3 + k*o**4 + z*o**2 and give k.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/(sqrt(18)\/sqrt(3)) - (sqrt(11) - -4*(sqrt(44)\/sqrt(4) - sqrt(11)))) + -4*sqrt(1100)*-2)**2.\nAnswer: 70400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 8:06 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ggoggogggopowgw?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.217 * -0.4.\nAnswer: -0.0868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135 - 134 - 10*l - 126 + 395.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1\/2735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 13 = -v, 3*k - k + 29 = 5*v. Suppose 5*u - 4*t - 17 = 0, -18 = -v*u - 4*t + 15. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38829221 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46311*u**2 - 93177*u**2 + 46869*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**2 - 4*p**2 + 5*p**2)*(-3 + 6 + 23) - 46*p**2 + 22*p**2 - 86*p**2 in the form t + g*p + h*p**2 and give h.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -28, -19, -6, 11, 32, 57?\n\"Answer: 2*s**2 + 3*s - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -w + 3 - 14, -11 = -2*k - 3*w. Let p be 9\/k + -1*(-2)\/(-1). Let t = 3 + -3. What is the closest to 2 in -3\/5, p, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0.2 (b) -0.5 (c) -2405\/12 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 162047 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 790321*v**4\/3 - 5526913*v**3\/3 - 12443*v**2 - 21*v.\nAnswer: v*(v - 7)*(889*v + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/26 - (-156)\/(-1014).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 33\/8*s**4 + 60*s**2 - 12*s + 0 + 129\/4*s**3 = 0?\nAnswer: -4, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5944 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3530, -24, 4.5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2934774 and 4230.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 108. Let f = -106.6 + v. Round f to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010101001101111100 (base 2) to base 7\nAnswer: -5123625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26255137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(55)\/(sqrt(11)*-2) + 0)**2*1 - (sqrt(40)\/(sqrt(80)\/(sqrt(10) + sqrt(250) + sqrt(10))) + -5 + 2).\nAnswer: -7*sqrt(5) + 21\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 949, 3178, 6901, 12118, 18829, 27034?\nAnswer: 36733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22195169, -44390354, -66585539?\n\"Answer: -22195185*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 2*x**2 + x. Let b(q) = q**2 + 9*q - 8. Let n be b(-10). Give v(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 107, 112?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 + 5 - (1 + -2). Let x be -7*15\/(-21) + (-1 - s). Let q(j) = j**3 - 6*j**2 - 11*j + 30. What is the units digit of q(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393914?\nAnswer: 2, 3, 29, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nswuv. What is prob of sequence sv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 667\/17 (b) -0.06 (c) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4273\/9 - -475. Sort 1\/17, n, 2 in decreasing order.\nAnswer: 2, n, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = -4*h + a + 16, 2*h = a + 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3350 and 63047?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 18*r**5 - 104*r**4 + 66*r**3 + 20*r**2 = 0.\nAnswer: -2\/9, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 312\/33269?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624860 < 2624861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w = 3*v + 17*w - 1112, -v = 2*w - 352. Solve -34*m - 298 = -v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**3 - n - 1. Suppose 0 = -5*h - 4 - 1. Let w be l(h). Let p(z) = 5*z + 3. Determine p(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*p - 4*p - 1415, 5*b + 2349 = -p. Let i be (2 - 1)\/((-35)\/b). Let v = -747\/55 + i. Which is bigger: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - 35) + (-1 - -2) + 0 - -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 4 (c) 5 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 9*y + 5. Let j be u(9). Suppose 2 = 4*c - 2. Let o = c - 6. Sort j, 2, o in decreasing order.\nAnswer: j, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -241 - -256. Solve v = 4*v - m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 8*u**2 + 6*u + 9. Let c be (28\/8 - 3)*18. Let q be a(c). Let x = 6 - q. What is the highest common divisor of 36 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1975.58919 seconds?\nAnswer: 0.022865615625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**2 - 50*t + 2. Let l(w) = -3*w**2 - 49*w + 1. Let a(c) = -5*l(c) + 4*o(c). Calculate a(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 687 - 436. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -474 + 492. What is the least common multiple of (0 - 6\/(-5))*5 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11912\/3 - -3971. Which is the nearest to 2? (a) r (b) -5 (c) -24\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 2, 0.0394?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1054597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 3740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g = 33*g. Is (-4346 - g)\/(47 + -49) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 3. Let m = a - 2. Let j be 33\/27 - m - 0. Is j at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 41 + 33 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1599*w**6 + 9*w**2 + 149.\nAnswer: -191880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1848.98 - 1849. Which is bigger: -39 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3\/7 - 106*n**2\/7 - 2791*n\/7 - 738 = 0. Calculate n.\nAnswer: -63, -41, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a factor of 64402683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -10*l**2 - 18*l + 32687. Let g(w) = 2*w**2. Determine b(g(c)).\nAnswer: -40*c**4 - 36*c**2 + 32687","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3178?\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(5\/4)\/(d**14\/d)*d**(1\/7)*d*d\/d**(3\/10) assuming d is positive.\nAnswer: d**(-1387\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 6:29 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6*o - 3*o + 9, 3*o = a - 12. Let v = a + 2. Let s(l) = -9*l**3 - 2*l - 1. Does 10 divide s(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2922 and 48257804?\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390180 and 8540.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 51*y**2 - y - 13. Let x be q(-51). Let m be 5*-38*6\/(-4). Let h = m - 171. Calculate the highest common factor of x and h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 - -3 - (24 - -26). Calculate the common denominator of 2\/b*400\/64 and -67\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -51147*t + 204326. Give q(4).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 0. Let v be 1\/(2*(-3)\/6). What is the smallest value in v, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.162 - -63.\nAnswer: 85.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274518 is divided by 15237?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*h**2 - 1 - 34*h**2 - 6*h + 53*h**2)*(h - 5*h + 3*h + (3 - 3 + 2)*(-3*h + h + 0*h)).\nAnswer: 45*h**3 + 30*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 1\/7, -0.1, -3, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-22) - (-40)\/22. Suppose -o - 3*o + 18 = -3*u, b*o = -2*u + 2. Suppose p = -o*p + 84. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(160) - 4*sqrt(160) - sqrt(40)))\/(-6*sqrt(968)*2).\nAnswer: 7*sqrt(5)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a + 6. Determine z(10).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -28*u - 21. Let m be (13 - 451\/33)\/(2\/(-63)). Let h(v) = -7*v - 5. Give m*h(i) - 5*g(i).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -683*q - 24 = -686*q. Suppose -5*u - h = -676, -4*h = 3*u - 2*h - 400. What is the greatest common divisor of u and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 - 11502 + 11502.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/5 of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**2 + 2. Let o be 92\/16 + (-10)\/(-8) - 6. Let i(b) be the first derivative of -1\/3*b**3 + o + 1\/2*b**2 + b. What is -2*i(m) + q(m)?\nAnswer: -2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -365\/552 - 1\/184. Let v = -0.7 - 3.3. Which is the second smallest value? (a) n (b) 0.5 (c) v (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Suppose -5*f - 4 = 3*x - 15, -x + 4*f = l. Sort 4, x, -5 in descending order.\nAnswer: 4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-28))\/((-5)\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2 + x**2 - x**2 + x**2. Let a(p) be the third derivative of p**5\/60 - 3*p**2. Determine 7*a(k) + 2*t(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2) + -2 - (14 - 17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 10*f = -36, 5*o - 3*o - 180*f = -94*f - 87*f - 25 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000047222 to six dps.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1607\/4 + 402. Which is the fourth smallest value? (a) o (b) 2\/77 (c) -3\/8 (d) -3\/2 (e) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.03334 * -2.\nAnswer: 4.06668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*w = 3*z + 51*w - 9606, -5*w + 3210 = z. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/377 - 1111\/1508. Let f = -0.4 + -0.1. Let g = f + 0.3. Which is greater: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-6*sqrt(225)*1)\/((sqrt(5) - (sqrt(5) + sqrt(20))*5 - sqrt(10)\/sqrt(2)*-5)*5).\nAnswer: -12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3510 and 800550.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 8:53 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2691 and 14954577.\nAnswer: 583228503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 + 3*u**2 - 6 + 5 + u + 8*u**3. Let s be i(1). Suppose 4*p = 114 + 282. Calculate the highest common factor of p and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 836*p + 44. List the prime factors of a(6).\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6}. What is prob of picking 3 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 65 (b) -6 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - r + 3. Let n be l(5). Let b = n + -14. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 57 (b) 0.5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k + 10*k - 13*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2122 and 6638677.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -836 divided by -19\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 7*d - 9. Let q be n(-2). Calculate the highest common divisor of q and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12431?\nAnswer: 31, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92 (base 11) to base 3.\nAnswer: -10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -607149, -607161, -607181, -607209, -607245, -607289, -607341?\n\"Answer: -4*z**2 - 607145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 8 + (3 - 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v + 340826 - 170413 - 170413. Let p(j) be the first derivative of 4*j**3 + 3. Determine p(o(z)).\nAnswer: 108*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 740.166 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*c**2*i**4 + 2*c**2*i*w - 9*c**2*w + 3*i**4*w - 2*i**2*w wrt i.\nAnswer: 720*c**2*i + 72*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12066802 is divided by 84?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2879?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29513883.\nAnswer: 3, 7, 349, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**3 + 3*a**3 - 8*a**3)*(-66 + 66 - 11*a**2).\nAnswer: 99*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 25. What is the remainder when 49 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(3\/4)*r**(2\/9))\/(r*((r*r\/r**1)\/r)\/r*r)**(21\/2))**(-10\/19))**(-43) assuming r is positive.\nAnswer: r**(-73745\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 864533535 and 380?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 52, -4, -841 in decreasing order.\nAnswer: 52, 2, -4, -841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + x = 15 - 20, -11 = 5*q + 3*x. Solve -30*l = q*i - 25*l - 13, 2*l + 6 = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(28)*1)**2.\nAnswer: 4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 19 (c) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 3. Let d be w(2). Put d, -2, 9 in decreasing order.\nAnswer: 9, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 533101205 and 2366?\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 9 + -18 + (-741)\/57?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 0. Let h(v) = g*v**2 - 2*v**2 + 5 - 2*v - 3. Is h(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -98*t. Let m(k) = 16*k + 8*k - 49*k + 16*k. Give m(a(n)).\nAnswer: 882*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 804 is divided by 81.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/11)*g**(2\/45)*g)\/(g\/(g\/(g\/(g\/(g**(-2\/3)*g))))*g*g**(3\/4)\/g) assuming g is positive.\nAnswer: g**(103\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 957 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 14803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(1\/3)*x)\/x**(-1))**44\/((x**(-2))**(-36))**7 assuming x is positive.\nAnswer: x**(-1160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -5. Is x + -3 + 2330 + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*z**3 + 705*z**2 - 706*z**2 - 12*z**3.\nAnswer: -49*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.003 - 0.003. Which is the closest to 1\/4? (a) s (b) -0.2 (c) 3\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7833 and 28721.\nAnswer: 86163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -a14d (base 15) in base 8?\nAnswer: -102400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8688*y - 30359*y - 64089*y - 14670*y.\nAnswer: -100430*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51838311 + -23345768. Let f = -19076573 + d. Let s = f - 13515970. Round s to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 15*m - 17*m + 58, 2*s + 5*m - 25 = 0. Calculate the greatest common divisor of 222 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y + 3*y - 2 + 5*y + (2*y - 3*y + 3*y)*(715 - 971 + 469).\nAnswer: 427*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3467 is divided by 2905?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -145601, 4 in descending order.\nAnswer: 4, -5, -145601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 373840 and 4.\nAnswer: 373840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -m - 9, -2*m = 3*m - 4*n + 23. Let l = m + 5. Calculate the remainder when l is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -105 + 2?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 471.89 + -471.914431. What is w rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1326298 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3) + 3 + 1424\/24. Suppose 3*q = 4*q - b. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1449, -5800, -13051, -23202?\nAnswer: -36253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 43, 6, 0, 161 in decreasing order.\nAnswer: 161, 43, 6, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32270762 to the nearest integer?\nAnswer: 5681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -50*s**3 - 834*s**2 - 1226*s - 488. Let q(h) = 2*h**2 - 3*h + 4. Let a(c) = m(c) + 2*q(c). Factor a(l).\nAnswer: -2*(l + 15)*(5*l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 10*u**2 - 2*u + 6. Let k be h(3). Suppose -48*b = -54*b + k. What is the second derivative of j - 70*j**3 + 56*j**3 - b*j wrt j?\nAnswer: -84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/30)\/(3\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 m when three letters picked without replacement from {m: 7, y: 5, v: 1, x: 1}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4288 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163 + 162.5. Let l(k) = -k**2 - 5*k + 1. Let i be l(-5). Let j be -8*(-1)\/(-2)*i. Which is the third smallest value? (a) j (b) -0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -1, 3.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.848 + -177.848. Which is smaller: 2\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**2 + 2 - 1 - 1. Let n be (1*-3)\/(36\/(-24)). Let p(h) = 2 - 2*h**2 + 0*h**2 - n. Give j(p(s)).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 210 + 1. Suppose 0 = -k + 2*i - 8 + 63, -4*k - i + q = 0. Is k a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 503, 2 in increasing order.\nAnswer: 2, 4, 503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/213724 and 107\/1904?\nAnswer: 854896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7217 (base 14) to base 3.\nAnswer: -222220201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 2 (c) -2\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -15*i + 15. Let p = 10 - 4. Let t(k) = -2*k - 4*k - k + 1 + 9. Let q(s) = 63*s - 91. Let l(x) = 3*q(x) + 28*t(x). Give p*v(u) - 13*l(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5.1, 5\/2, -2\/5, -17, 0, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1337193, 1337138, 1337083, 1337028, 1336973?\nAnswer: 1336918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:09 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 103300 (base 4) in base 10?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 25525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 35, 22, -1, 0, -5?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 divided by -151.\nAnswer: 59\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - 50. Suppose 6*c - i*c + 4125 = 0. What is c rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059\/54147 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4400 and 605?\nAnswer: 48400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 5*c = 5*n, 2*n + c + 12 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -954 divided by -6?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101211120212 + 1020?\nAnswer: -101211112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, 3, -13\/22 in descending order.\nAnswer: 3, -0.4, -13\/22, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 4*m**2 + 9*m + 1. Suppose 0*k - k - a - 2 = 0, -10 = -3*k + 5*a. Suppose -3*y = -k*y + 18. Determine l(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -168\/5 + 667\/20. Which is the closest to -1? (a) -1\/2 (b) 0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, a: 4, e: 1, l: 3, k: 2}. What is prob of sequence neak?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/(-6)*140\/49. Factor -4*b**3 - 80*b**2 + 149*b**2 - 101*b**2 + r*b + 26*b.\nAnswer: -4*b*(b - 1)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1128 + -1127.7. What is the closest to 1\/4 in d, 45, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -13*p**3 - 3*p**2 - 13*p + 9. Let b(g) = -7*g**3 - 2*g**2 - 7*g + 5. Let j(x) = -11*b(x) + 6*u(x). Let s = 6 + -3. Calculate j(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6049 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 8*h = -8*j - 44, 0 = -4*j - 5*h - 41 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnjur. What is prob of picking 1 j, 1 n, and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 26*b + 2. Let s be f(-18). Let k = s + 277\/2. Calculate the common denominator of (58\/(-12))\/(16\/6) and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-4)*(-4)\/(-3). Suppose 0 = -3*i - 0*i + z. What is the lowest common multiple of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2 (c) -1\/376\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 h when four letters picked without replacement from hhypphyhhhhprrhkhhkr.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -346.3*369.21\nAnswer: -127857.423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 73 = 159. Let b(z) = -z + 1. Let t(p) = -2*p**3 - 5*p**2 + 3*p - 9. Let y(s) = 6*b(s) + t(s). Calculate the remainder when o is divided by y(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 39?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = 6*m + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4659 and 293459539.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5120954 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69.2 - 8.2. Let h = u - 58. Sort -1, h, 0.2 in increasing order.\nAnswer: -1, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = b + 14, 0 = 2*t + b - 1077. Calculate the remainder when t is divided by 55.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00212997 to four decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 14.75, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**8\/336 - c**4\/6 - 10*c**2. What is the second derivative of z(q) wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(216) + sqrt(54))\/(sqrt(288)*-1))\/((sqrt(3888) - -1*sqrt(3888))\/(sqrt(96)\/sqrt(2))).\nAnswer: 11*sqrt(3)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103366970 to the nearest integer?\nAnswer: 10167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 223664656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/(-22) + (5 - 12))*1\/(-2)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 4:31 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 37059.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*g - 42*g - 3020 = 0 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 4*k. Let c be o(-3). Suppose -2*s - s = -21. Let z(u) = 5*u + 72. Let n be z(-14). Solve -3*q - 2*f - 10 = 0, -n*q + 2*f + c = -s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -12*b**3 + 1788*b**2 + 7371*b + 7359. Let o(t) = 3*t**3 - 447*t**2 - 1844*t - 1840. Let i(d) = -15*o(d) - 4*q(d). Factor i(v).\nAnswer: 3*(v - 153)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63.863 + 64. Let x = f + 0.153. Let r = 0.73 - 0.43. Which is the third smallest value? (a) r (b) 0.5 (c) -2\/17 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2 - 4 = 0. Suppose -k = b*k - 60. Suppose k = 4*i - 0*i. Calculate the least common multiple of i and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -68 + 34?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9090\/11 - 364227\/440. Let s = 1350\/19 + -53563\/760. What is the common denominator of s and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -863\/5, -2\/19, 2, 1\/4, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 858*k**2 + 853*k**2 - 1711*k**2 - 749*k**3 - k + 2*k to c*k**3 + o*k + q*k**2 + m and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, j: 1, x: 5, w: 1}. What is prob of picking 1 j and 1 o?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1217609 - -6552.473.\nAnswer: 6552.3512391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c*j*z**4 + 162*c*j*z**3 + 200*c*j*z**2 + 2*j + 2*z**5 wrt z.\nAnswer: -24*c*j*z + 972*c*j + 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 138870 + -138869.9929907. Let z = 0.007 - m. Round z to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.60102 days to minutes.\nAnswer: 64225.4688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1111111100011?\nAnswer: 1111111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1726 is divided by 459.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167.706 kilometers to nanometers.\nAnswer: 167706000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzfffxwwwjzjazzzj. What is prob of picking 1 z, 2 f, and 1 w?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - i**2 - 66*i + 59*i - 2*i**2 + (0*i - i + 0*i)*(2*i - 3*i + 3*i) - 2*i**2 + 0*i + 0*i to b + h*i + r*i**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 29887429 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, b: 4, o: 2, d: 3}. Give prob of picking 1 o, 1 b, and 1 r.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73595839*-4.\nAnswer: -294383356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17299, 69205, 155715, 276829, 432547, 622869, 847795?\nAnswer: 1107325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-129)\/8)\/(-65*(-4)\/(-8)) and 174\/16*(-27 + (-2035)\/(-75))?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 149 - 93. Calculate the highest common divisor of 448 and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 63, 141, 249?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/64 of a kilogram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -209085463 and -1?\nAnswer: 209085462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474 = 171*v - 173*v. Let d = -48 + v. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z + 150 = 3*x, 0 = 4*z - 5*x + 202. Let l = 51 + z. Suppose -l*p = -464 + 173. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98 and -107625.\nAnswer: -10547250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1265 + 0*i + 5*i - 2*i - 5*i + 0*i + 1382.\nAnswer: -2*i + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 303703539 or 303703536?\nAnswer: 303703536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1425151 or -1425152?\nAnswer: -1425152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m**3 - 42*m**3 + 16*m**3 + 7*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -32. Factor -781*z**3 + 397*z**3 - t*z + 20 - 15*z**2 + 394*z**3 + 5*z**4.\nAnswer: 5*(z - 1)**2*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43384.11 nanometers in meters?\nAnswer: 0.00004338411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*w + 5 = -6*g, 0 = 5*w + 10. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - w)*(-88*w - 104*w - 607*w).\nAnswer: 799*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, -41, -170, -407, -788, -1349, -2126?\n\"Answer: -6*p**3 - 15*p + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4744358 to the nearest integer?\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 5 - (-5 + 1 + 4 - 7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4013 and -0.37.\nAnswer: -1484.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -6\/29 (c) -13.13 (d) 31 (e) 0.3 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11607, -23209, -34809, -46407, -58003, -69597?\nAnswer: -81189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -14 + (8 - 8) - (-3 - -8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10 + 2 + 6)\/(-7 - -2))\/((-70)\/14525).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -339 - -337. Let j(b) = 4*b**3 + 3. Let n(s) = -3*s**3 + s**2 - 2. Give y*j(g) - 3*n(g).\nAnswer: g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4284 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((114\/(-95))\/((-3)\/(-1570)))\/(-2). Suppose 1399 = 4*s + 2*j + 143, -s + a = 2*j. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a kilometer?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**4\/12 + c**2. Suppose 0 = -19*l + 729 - 539. Let y(q) = 78 + l*q + 78 - 156 + 39*q. Calculate i(y(g)).\nAnswer: -98*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5403339*d - 6518886 wrt d.\nAnswer: 5403339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8796631 divided by 7\nAnswer: -8796631\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.42*-21.8.\nAnswer: 183.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14039, 28804, 43577, 58352, 73123, 87884, 102629, 117352?\nAnswer: 132047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -13*g**3 - 29*g**2 + 21*g + 1. Let f(q) = 5*q**3 + 10*q**2 - 7*q. Let r(c) = 3*a(c) + 8*f(c). Give r(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2007\/8 + 41\/328. Is s bigger than 249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 21*m**2 - 85*m + 73. Give k(-14).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - -a3eacf3?\nAnswer: a3eacfb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -680 + 336. Let u = r + 344.02. Round u to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 611*g**4 - 333*g**2.\nAnswer: 14664*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1fc1 + 4?\nAnswer: -1fbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/18 and -5\/16426.\nAnswer: 147834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + ((2 + (sqrt(567) - (sqrt(567) + 4)) + sqrt(567) - sqrt(567)) + sqrt(567) + (sqrt(567) - sqrt(567)*3*2))**2)*4 + 5.\nAnswer: 576*sqrt(7) + 36309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01619 to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*w - 19*w - 52. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 10 - 46 + 2*p + 46 + 23. What is u(-14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 17\/156?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 411 - 231. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13847 - -13896. Solve -3*x = j*z - 46*z - 24, -5*x = 2*z - 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673956901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from bssbbboobcsbdd?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 601475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.168 + 0.032. Let f = y - 7.4. Round f to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 717\nAnswer: 7\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/14)\/(((-9)\/6)\/(99\/(-22))).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 780, 777, 774, 771?\n\"Answer: -3*v + 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**2\/2 - 11*r + 229. Let s(t) = 2. Let w be 146\/14 + 4\/7. Give w*s(c) + 2*o(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -2)*(9 + 32\/(-2)). Let v(c) = c**2 - 5*c + 5. Give v(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -11*l**6\/36 + 7*l**5\/15 - l**4\/8 + 207. Let x(t) = 0. What is t?\nAnswer: 0, 3\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f - 5. Suppose -f*k - 7 = -2*g + 15, 2*k - 5*g = 8. Let t be (4\/k)\/(9\/27)*1. Sort -4, 2, t, 5.\nAnswer: -4, t, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32309737\/1036 - -31187. Let f = z + 6932\/777. Calculate the common denominator of -53\/8 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90170 and 852.\nAnswer: 541020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -579*g. Let y(j) = -245*j - 4. Give y(b(o)).\nAnswer: 141855*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + -2*5*sqrt(20) + sqrt(20) + sqrt(20))\/(sqrt(4) - (sqrt(4) - sqrt(980)\/sqrt(5)) - sqrt(4)).\nAnswer: -7*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.317*-1.02\nAnswer: 0.32334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*o - 3)*(-2*o - o**3 + 2*o) + (0*o - o + 3*o)*(3*o**3 + 0*o**3 + 0*o**3) + (5*o**3 + o**3 + 0*o**3)*(o - 3*o + 0*o).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 2. Suppose 17 = 2*l - 3*q, 4*q = -2*l - w + 15. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -6)*1*(-4 - 0). Let v = -52 - -192. Calculate the greatest common factor of o and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from vevfevffveeyyeeev?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*j + 26 = 0, 4*j - 24 = -4*z + 7*j. Let l be 4\/(-6) - (-33)\/z. Is l less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 83900988?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2644380 divided by -996\nAnswer: -2655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = g - b + 2*b, -3*b = g + 23. Let y = g + 50. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2032 (base 5) to base 12.\nAnswer: 1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034 a factor of 1191020170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*k + 13*k - 2395 = 2115 for k.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b + 1 = 0. Suppose -6*o = -2*o - 56. Suppose 0 = 10*y - o*y - 0*y. Solve 3*f - 10 + b = y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 487 = -4*v + 3056, 0 = -5*m + 5*v - 17730. What is m rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 + w - 6)*(6 - 3 - 4) - 5*w + 0*w + 0*w + (6*w - 2*w - 2*w)*(-2 - 1 + 1) - 6 - 3*w + 6)*(-w + 4*w**2 + w + 2).\nAnswer: -52*w**3 - 26*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 12*h**3 + 2*h**2 - 1. Let d be (-3)\/9*(-10 + 1). Suppose -3 = 2*u + 5*o + 15, -2*o = d*u + 5. Determine j(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/672)\/((-1)\/(-2))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2853655 to the nearest integer?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -61. Let s = n + 38. Let l be (-1)\/s - (-136)\/(-152). What is the second smallest value in 4, -4\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 19 + 1 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 4. Let r be c(0). Let x(u) = -u**3 - 9*u**2 - 17*u - 18. Let q be x(-7). Suppose -4*v = q*v - 5*v. Solve h + r - 7 = v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 216 + -217. Let s be 2\/8 - 17\/36. Let g be 5\/(95\/36) + -2. What is the nearest to s in 1\/7, x, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 48 = -4*i - 12, -p = 2*i - 28. Let w = i - 13. Let m(c) be the second derivative of -c**5\/5 - c**4\/6 - c**3\/6 + 11*c. Calculate m(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24863367 is divided by 2256?\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -18 + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 454 = -2*t, -5*t + 176 = -2*u - 952. Suppose 2*r + 5*m = 1439, -r + 2*m = -t - 471. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2. Let r(l) = -41017*l - 5628. Calculate r(n(x)).\nAnswer: 41017*x**2 - 5628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.038 * -0.0111\nAnswer: 0.0004218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329 = -3*h + 481. Suppose 0 = -6*y + y - 5*c + h, 0 = -3*y - 4*c + 159. Does 14 divide (-6)\/(-9)*y\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -14\/93, -4, -3\/4 in ascending order.\nAnswer: -29, -4, -3\/4, -14\/93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -257655 - -1?\nAnswer: -257654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*p**4 - 3*p**3 - 77*p**2 + 9554*p wrt p.\nAnswer: 204*p**2 - 18*p - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c4af + -86?\nAnswer: -3c535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) 1\/2 (c) -2 (d) -0.3 (e) -65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20899)\/(-7) + 4\/(-7). Let q = m - 59661\/20. What is the common denominator of -37\/28 and q?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 405144 by 135048.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.741266 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 2065?\nAnswer: 2065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5035.\nAnswer: 5, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 7 - 3*t + 8*t + 12*t to y + x*t and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - x - 1152 = 0. What is the common denominator of (-2 - (-10)\/4)\/(-1) and ((-6)\/(-28))\/(13\/((-26936)\/x))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/10*16\/(-120)*(-6)\/(-46).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 512871051 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77662 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**3\/3 - 8*g. Let z(x) = -258 + 29*x + 258. Calculate q(z(h)).\nAnswer: -58*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -4*r - 16, -3*r - 5*b = -7*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -12534?\nAnswer: -12535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 + 85. Solve -x = -7*a - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -100*i + 900. Let t be r(8). Which is greater: 104 or t?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*j + 80*j + 504 + 1586 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 507581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 122222 (base 5) to base 8\nAnswer: 11117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -91991542.9 to the nearest one million.\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23438 - 15950. Suppose 32*n = 8*n + w. List the prime factors of n.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 4 = 20. Let v(f) = f**2 + 2*f + 6. Let z(p) = -3*p**2 - 4*p - 13. Let i(b) = 5*v(b) + 2*z(b). Calculate i(s).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16842 + -16824. Solve 0 = u - 5*s + 12, 13*u - 12*u - z = -5*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.3 (c) 3 (d) 4 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*b**2*s**3 - 34*b**2 + 167*b*s - b - 6*s**3 - 18*s - 131421 wrt b.\nAnswer: 48*b*s**3 - 68*b + 167*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x + 2*x - 33 + 10 - x**4 + (0 + 0 + 2*x)*(-x**3 - 5*x**3 + 4*x**3) to the form b*x**2 + p + o*x**3 + v*x**4 + f*x and give p.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*k + 31, -x - 4*k = -12 - 1. Suppose 0 = x*b - 3*b + 576. What is the tens digit of (b\/60)\/((-3)\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-30))\/(-7*(-4)\/140). Which is smaller: g or 1\/244?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71876312 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 - 79. Solve -5*y + 4*y + 2 = q, b = -y + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/12296 and -83\/522.\nAnswer: 110664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2633431 - -2?\nAnswer: 2633433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 10. Let i(r) = 2*r**2 + r - 2. What is the remainder when w(0) is divided by i(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -718, -417, -116, 185, 486, 787?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -82234*b**4*h + 537*b**2*h + 141557848*h + 2 wrt b?\nAnswer: -328936*b**3*h + 1074*b*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93712164 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 2*t - 5. Let d be (-25)\/(7 + -2) - -1. Let x be q(d). Solve 3*z + 3 = -3*i + 6, i + 3*z = x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1516 is divided by 97?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385366485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7338?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from zofofzoojgjfjgoo?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -5*x - 3*o, -3*o = 2*x - 8*o - 36. Suppose 0 = 2*i - 5 - x. Suppose -7*k - 10 = -i*k. Solve k = -2*g + 7*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a kilometer in meters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8567 times 325.1\nAnswer: 2785131.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/((y\/((y**25*y)\/y*y))\/y)*y\/(y*y*y**(2\/3))*y*y assuming y is positive.\nAnswer: y**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-1 - -1)) + (-2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -598*k + 12 = -601*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.25 - -3.45. Which is the third biggest value? (a) -2 (b) -6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b. Let o(l) be the third derivative of -l**8\/10080 - 47*l**5\/30 - 4*l**2 - 12. Let t(q) be the third derivative of o(q). What is t(p(g))?\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = m - 5*u + 24, 0 = -3*m + 4*u - 4. Suppose -4*s - 11 = x, -x = 2*s - s - m. What is the first derivative of -15*d**2 + 18 + x*d**2 - 13*d**2 wrt d?\nAnswer: -38*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x - 27. Let a be r(-8). Factor -a*f + f + 27*f**3 - 475*f**2 - 21*f**4 + 511*f**2.\nAnswer: -3*f*(f - 2)*(f + 1)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9196 and 49628.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1233312 divided by 3\nAnswer: -411104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84215551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**2 - 11*c - 5. Let t(d) = 11*d**2 + 23*d + 11. Calculate -13*g(a) - 6*t(a).\nAnswer: -a**2 + 5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -2*a + 173. Suppose -27*l - 46 = -62*l + 33*l. What is the remainder when a is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111110002 (base 4) in base 12?\nAnswer: -255b16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*v + 55 = 0, -4*p + 2*p + 105 = -v. Let y = p + -53. Find l, given that 2\/5*l - 3\/5*l**2 + 1\/5*l**3 + y = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*a**2*i**3 + 3*a**2*i + 7*a*i**5 + 34*a*i**2 - 3*i wrt i.\nAnswer: 84*a**2 + 420*a*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-6 + -1 + 2). Suppose -4*d + 3*d - 1 = 2*m, t*m = 3*d - 15. Let b be d\/2*(-10)\/(-3). Solve -5*f + 3*j = -j - 21, b*j = -2*f + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(19)*1)**2 - (-3 + sqrt(38)\/sqrt(2))**2.\nAnswer: -5 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxlkxlx. Give prob of picking 1 l, 1 k, and 2 x.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9946881 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 150874c2 - -4?\nAnswer: 150874c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhshwhhh. What is prob of sequence hh?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-364) + 0 + (-2)\/(-7)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206151002 to the power of 1\/3, to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 8*j + 10. What is q(-8)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 114, 1332, 3406, 6342, 10146, 14824, 20382, 26826?\n\"Answer: y**3 + 422*y**2 - 55*y - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p - 45. Let w be y(18). What is the closest to -1 in 14, -3\/5, w?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*k**4 - 11*k + 11*k + 0*k**3 + 0*k**3 + k**4 + 5*k - 5*k - 2*k**4 + (-2 - 2 + 5)*(3 - 3 - 2*k**4) + 4*k**3 - 4*k**3 - k**4 + k**2 - k**4 - k**2.\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 359 + -353. Suppose 10*a + k - 2051 = f*a, -2*a + 1039 = 5*k. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -10*s + 16. Let w(k) = -2*k + 3. Suppose -3*d = 6*t - 11*t + 1, 4*d = t - 7. Give d*n(i) + 11*w(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + -2 + 0 + 5)**2.\nAnswer: 18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2251, -5 in increasing order.\nAnswer: -2251, -5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 11000?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1097881, 1098182, 1098483, 1098784?\n\"Answer: 301*z + 1097580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 10*n**2 - 7*n + 3. Let s(y) = 10*y**2 - 7*y + 4. Let t(a) = -6*s(a) + 5*w(a). Let f(p) = -3*p**2 + 2*p - 3. Calculate -7*f(b) + 2*t(b).\nAnswer: b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3 * 9510.\nAnswer: -21873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 30.93462 micrograms?\nAnswer: 0.00003093462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2374550*d**3*z**3 + 10355*d**3 - 40*d*z**2 wrt z?\nAnswer: -14247300*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91.87 + -91.37. Let j be (-8)\/(2 + (-8)\/3). Let t be 9\/j - -2 - 2. Which is the third biggest value? (a) 1\/4 (b) t (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6854 - -6884 - (-1 - 41)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 14*j**2 + 33*j + 16. Let h be f(16). Calculate the highest common divisor of h and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6907 + -6827. Let y = 3245 - 6331\/2. Is y less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 26. Let h be 2\/2 + -10 + u. Suppose -h*d = -m + 90, 450 = 5*m + 3*d + d. What is the greatest common divisor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/((-4)\/(-3) + -3)*-195.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 divided by -2\nAnswer: -101\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/234 and -119\/107952.\nAnswer: 323856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 20*x - 66. Let k = -24 - -47. Let v be q(k). Suppose -v*h + 386 = 2*z, -z = -4*z - 3*h + 573. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5))**25 assuming y is positive.\nAnswer: y**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12522, -50116, -112774, -200496, -313282, -451132, -614046?\nAnswer: -802024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38766435 and 645?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 120 + 28. Let l = 153 + z. Solve l*s = 3*s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 45. Let m(o) = o**3 + o**2 - o + 10. Let w be m(0). Let k = w - v. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*p**5 + 173*p**4 - 668*p**3 + 10539632*p**2?\nAnswer: 1080*p**2 + 4152*p - 4008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 1 = -15*x. Let v = -4 - -7. Put x, 4, v in descending order.\nAnswer: 4, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12961183, -103689503, -349952081, -829516045, -1620148523, -2799616643, -4445687533?\n\"Answer: -12961188*i**3 - i**2 - i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - 30) + 5 - (-1 - 8)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -826.6 times -40409?\nAnswer: 33402079.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 16. Let l = k + 11. Sort l, 5, 0.4 in ascending order.\nAnswer: 0.4, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 49. Suppose 4*n - 26 = -s, -3*s + u = -0*n + n. Suppose -s*y = -617 - 613. What are the prime factors of y?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -68.6 and -0.1.\nAnswer: -68.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -1\/3, -0.103, 1\/11 in ascending order.\nAnswer: -1\/3, -2\/9, -0.103, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.7 - -13.7. Which is the third biggest value? (a) i (b) 0.2 (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 64 = -9. Is m at most 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -12, -53199 in ascending order.\nAnswer: -53199, -12, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -10*u**3\/19 - 166*u**2\/19 + 100*u\/19 + 544\/19 = 0.\nAnswer: -17, -8\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 - 33*v - 20. Let z(w) = -2*w**2 + 17*w + 10. Let o(l) = 3*p(l) + 5*z(l). Does 15 divide o(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(120))\/sqrt(8))\/(sqrt(40)\/(sqrt(8) - (sqrt(8) + sqrt(128)))).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00031712963 rounded to 7 decimal places?\nAnswer: -0.0003171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 1 + 184*y**4 + 0*y + 6*y**3 + 0*y**3 - 4*y**3 - 79*y**4 as g*y + b + v*y**4 + j*y**2 + k*y**3 and give v.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*w + 21*w**5 - 5*w**5 + 11*w**2 - 18*w wrt w?\nAnswer: 960*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 26*l + 121. Let m be c(-30). Let a(n) = 2*n**3 - 5*n**2 - 2*n. Let s(q) = q**2 + q + 1. Determine m*a(v) + 2*s(v).\nAnswer: 2*v**3 - 3*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + 1 - (-44 - -17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 20*j**2 + 19*j + 21. Calculate p(19).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 - 950*f + 950*f - 2*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180636 by 5.\nAnswer: 180636\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/10 (b) -3\/5 (c) 6 (d) -42 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -6, -4\/9, 14\/3 in decreasing order.\nAnswer: 14\/3, 1\/5, -4\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j = 7*j + 28. Let h = -4 + 6. Let l be (j\/h)\/((-15)\/90). Solve l*o - 2 - 5 = 4*x, 0 = -2*x - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15855 divided by -79.\nAnswer: 15855\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -223 + -37. Sort n, 8, -1, 0.\nAnswer: n, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + -8 - ((-30 - 22) + 31).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (532\/3458 - 232\/1170) + 3*8\/54.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -0.2, -5.5, 2 in decreasing order.\nAnswer: 19, 2, -0.2, -5.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.5, -167 in ascending order.\nAnswer: -167, -2\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 604 + -521.4. Let n = -83 + v. What is the third smallest value in 3, 7, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -230.71 to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 - 153*q - 487. Calculate l(54).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 766*n**2 - 4494*n + 391. Calculate t(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1484 is divided by 47?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -66. Suppose -j - 26 = -5*v + 24, 5*v + 2*j = q. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ca09 (base 16) to base 5.\nAnswer: -3123341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by 228\nAnswer: -21\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -382151, -383177, -384203, -385229, -386255?\nAnswer: -387281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {u: 12, h: 2, f: 1, y: 2, x: 1}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/8 - 11*c**4\/8 - 3*c**3 + 9*c**2\/2 = 0 for c.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 8*t - 1. Suppose 3*g + 2*h = -13, -2*g - h - 9 = 2*g. Let r(u) = u. Let f(x) = g*a(x) + 6*r(x). Give f(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j**2 + 20*j**2 + 9*j**2.\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 1) + 132 + -124?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70152.\nAnswer: 2, 3, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*o + 2, -2 = u - 3*o + 2. Suppose -u*l + 11 = 3. Solve -4*k = -l + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-667*i + 559*i - 160*i - 3012*i - 3095*i).\nAnswer: -12750*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1786873, -1786958, -1787045, -1787134, -1787225, -1787318, -1787413?\n\"Answer: -c**2 - 82*c - 1786790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 - 1080*q\/7 + 145800\/7.\nAnswer: 2*(q - 270)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 2640 = 2*t + 112*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 634, 5, -0.5, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r + 23. Give t(-15).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 7*y = -16. Let n be (4\/3)\/(-1 + (y - 3)). Let a(p) = -p**2 + p + 24. Let v be a(8). Which is smaller: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3696747 + 0.44?\nAnswer: 3696747.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95 + -85 + -22 + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.581341 days?\nAnswer: 837.13104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -914.999636 + 915. What is o rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2448232155?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((3*sqrt(153))**2 - sqrt(17)) + sqrt(85)\/(sqrt(5) + sqrt(20)\/sqrt(4)) + sqrt(17).\nAnswer: sqrt(17)\/2 + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 29600700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from itivmvi.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 19.037. Let f = t - 0.607. Let u = -0.27 - f. What is the second smallest value in -2\/11, 1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 12:44 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 + -14.05. Which is the smallest value? (a) 3\/7 (b) d (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.9 + -13.70133?\nAnswer: -36.60133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*y + 21. Is 6\/2 - y - -53 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660988 is divided by 854?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -663.185 + 0.185. Let w = -717.331 + 54.018. Let p = a - w. What is p rounded to two dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3705 - 16949 = -11*y. List the prime factors of y.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -170*a - 341. What is the hundreds digit of w(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 5 + 4931*l - 4 - 4 + 6.\nAnswer: 4931*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**7*f*f*f**39)**(-15) assuming f is positive.\nAnswer: f**(-735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51\/154 - -1\/22. Let l be 2 - (-72)\/(-33) - 45\/(-550). Suppose 136 = 2*p + 142. Sort o, 11, l, p.\nAnswer: p, o, l, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31432363, 31432362, 31432363, 31432366, 31432371, 31432378, 31432387?\n\"Answer: c**2 - 4*c + 31432366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3. Let v be -21*(-4)\/3 + q. Suppose v = y + 5*u, y = -y - 4*u + 36. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29681\/3 - -9999. Let f = h - 104. Factor 3*t**2 - 4*t + f.\nAnswer: (3*t - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 394 and 1773.\nAnswer: 3546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - d. Let o(b) = 3*b**2 - 3*b - 1. Give o(x) - 5*z(x).\nAnswer: -2*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1151 or -1201?\nAnswer: -1201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + s**2 + 11. Let n be r(0). Let w = n + -4. What is the remainder when w is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 8:03 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 30, 54, 76, 96, 114?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n + 25 = -33 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18241538 is divided by 4003?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 3*a - 12. What is o(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a decade?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*j + 15 = 0. Let n be 3*(j - (-14)\/(-6)). Let i(p) = 2*p**2 - p**n - p**2 + 2*p**2. Let s(h) = h**2. Calculate s(i(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 21769*z - 217777. Calculate m(10).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -500*n**4 + 11*n.\nAnswer: -6000*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 173*m - 4. What is the remainder when l(1) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1791, -3582, -5373?\n\"Answer: -1791*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 3184*q + 1267232.\nAnswer: 2*(q + 796)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105\/16 + -15\/2. Find the common denominator of t and 57\/1052.\nAnswer: 4208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 250226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/205)\/((-21)\/(-30)*4\/28)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyy. Give prob of picking 3 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1537593ug to grams.\nAnswer: 0.0000001537593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24067 is divided by 321?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000006158 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11524*x + 46112*x - 11533*x - 11530*x - 11525*x + 130*x**2.\nAnswer: 130*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r + 35. Let b be p(-11). Suppose 0 = b*q - 7*q + 25. What is the biggest value in q, 1\/4, -1, -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 113?\nAnswer: -2.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x**2 + 242 + 4*x**2 + 8*x - 252. Let i be m(6). Suppose 5*b + z = 10, 5*b - i*z + 2 = -3. Is b at most as big as -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218467 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**5\/60 + 161*x**4\/24 + 163*x**3\/3 + 4543*x**2. Factor d(c).\nAnswer: -(c - 163)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 3*i**6\/10 + 64*i**5\/5 + 122*i**4\/3 + 160*i**3\/3 - 86*i**2 - 101*i. Let r(c) be the first derivative of w(c). Factor r(n).\nAnswer: 4*(n + 20)*(3*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 12*p - 652. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p - 8*p - 2*p - 4*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*s - 8*q = 96*s + 48, -3*s - 6*q + 3*q - 9 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-103) - 4\/22.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 1. Let c be y(1). Let r be (-2)\/16*2 - c. Let b = 91 - 89. Are r and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 21. Determine f(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1000 divided by -100\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmddddmmdmmd. What is prob of picking 1 m and 1 d?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + -8)\/((-3)\/(-12)). Let x be (-80)\/(-42) + m\/(-2) + -10. Is x > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + s)*(25 - 4*s - 25) + (1 - 2 - 1)*(2004*s**2 - 562*s**2 - 859*s**2) in the form i*s**2 + o*s + m and give i.\nAnswer: -1170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 193 - 6. Calculate the greatest common factor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -642\/7 - -92. Let r be ((-3)\/6 - 1)\/1. Which is the third biggest value? (a) -4 (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 402932815 by -12905.\nAnswer: -31223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 0 - (-1 - -5). Let t(q) = -2*q**3 - q**2 + 2*q + 2. Let n(b) = 3*b**2 + 76*b - 34. Calculate the remainder when n(-26) is divided by t(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85841 + -59437. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 6*r - 8. Let j be b(7). Let m = 3 + j. What is the smallest common multiple of m and (-2)\/8 - (-101736)\/5024?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**4\/4 - 7*o**2\/2 - 829. Give l(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 8*k - 51*k - 49*k + 22*k.\nAnswer: -83*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -8. Suppose b = -z + 6*z. Suppose -32 = -4*s - z*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1650 and 14322?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 69, 157, 287, 465?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**2 + 1. Suppose 2*t - 1 - 1 = 0. Let a be f(t). Let y be (a - (1 + -4))*-2. Solve 0*g = -y*g - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -27 + 7. Suppose 4*z + m*y = -24, 0 = -4*z - y - 2*y - 32. Let x = z + 18. What is the remainder when x is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24350 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 2*i**2 + 6*i**2)*(-8*i - 102 + 102) + 31*i**2 - 434*i**3 + 2325*i**3 - 14*i**2 - 17*i**2.\nAnswer: 1875*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1015 divide 97079680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -4. Suppose t - 4*y = -6 + 28, -3*y = -c*t + 59. Calculate the remainder when 19 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65934443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**2\/7 + 10068*t\/7 - 50265\/7 = 0 for t.\nAnswer: 5, 3351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21385.68 weeks in minutes?\nAnswer: 215567654.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 467.6 + -462.6. Which is the second smallest value? (a) -1 (b) -0.05 (c) r (d) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*g - 3*g, -24 = -3*g + 4*t. Let d(s) = -s**3 + 4*s**2 + 4*s - 3. Give d(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p - p + 3*p)*(-3*p**3 - 3*p + 3*p + (2*p**2 - 3*p**2 + 0*p**2)*(-13 + 8*p + 13)) as n*p + y*p**3 + c*p**2 + g*p**4 + q and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128.07 - 126.07. Which is the fourth biggest value? (a) -1\/3 (b) 1060 (c) r (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 22312 - 6513 = 0. Suppose 605 = -4*t + s. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**5\/5 - b**2. Let l(o) = o**2. Let j be (63\/42)\/(1\/(-130)). Let c be 4\/14 - (j\/(-21) + -3). Calculate c*l(g) - r(g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*n + 31, -5*d + 4*n = 8*n - 144. Calculate the common denominator of 43\/14 and 2 - 1\/d*-118.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63*33\/(-77616)*14\/(-8)*(-22)\/(-66).\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*j + 4952, -2*f - 4*j = -5*f + 4982. Suppose 5*z = 3*p + 205 + f, -4*z + 1488 = -2*p. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1281088?\nAnswer: 2, 37, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -40094, -40089, -40080, -40067, -40050, -40029, -40004?\n\"Answer: 2*z**2 - z - 40095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4998020 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -352431531 (base 6) to base 11\nAnswer: -3786085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 + -106343.04.\nAnswer: -106363.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -82 divided by -41\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 601686.7 weeks in microseconds?\nAnswer: 363900116160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 43*u**4\/24 + u**3\/3 - 2*u**2 - u. Let p(q) = q**2. Let v(w) = -w**2. Let b(d) = 5*p(d) + 3*v(d). Determine b(n(s)).\nAnswer: 3698*s**2 + 344*s + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-35)*b*b**(-10\/3)*(b*b**12)\/(b*b**8) assuming b is positive.\nAnswer: b**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*h**3*m + 78*h**2*m + 13172*m wrt h.\nAnswer: 90*h**2*m + 156*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3858, -3792, -3734, -3690, -3666?\n\"Answer: -b**3 + 2*b**2 + 67*b - 3926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f*f**(-29)*f)*f*f*f\/f**(-4\/13) assuming f is positive.\nAnswer: f**(394\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -4 - (-43)\/11) + 8\/88. Let n = -10 + 25. Solve i = -n*s + 19*s - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -14*a - 3. Let w(z) = 345*z**2 + 427. Give w(h(x)).\nAnswer: 67620*x**2 + 28980*x + 3532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(-28)\/217 - (-657)\/(-2790)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 + 4*r**3 - 4*r**3 + (0 + r + 0)*(-2*r**2 - 4*r**2 + 3*r**2) + 1 - 1 + 31*r**3 + (-2*r + 5*r - 2*r)*(2*r + r**2 - 2*r).\nAnswer: 31*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h**2 - 45*h + 10. Let q be n(-9). Solve q*c - 4*c = 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z - 2*z)*(-25*z - 44*z + 41*z)*(2 - 3 + 2).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -10 + 9. Let d be z\/(-1)*(-27)\/9. Let m be 1\/1 - (d + 355216\/4). Round m to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (0 + -1) - (-8)\/(-7). What is the second smallest value in 2, i, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqxx when four letters picked without replacement from {s: 2, n: 1, r: 10, q: 3, x: 2, u: 1}.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(30\/1467)*-6. Is ((-4)\/(-6))\/(6\/o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8311160 rounded to the nearest 100000?\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 16*k**2 - 25*k + 3. Calculate r(3).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (9\/6)\/(51\/(-136))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399954 divided by 1146.\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.267 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 2:51 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 33\/(-15) + 2 - (-11)\/55. Let x = 8 + -3. Let n = x + m. Solve 5*f - 3 = 2*j - 0*j, 3*f + n*j + 23 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f + 3. Let p be t(4). Let u be (-2)\/(-3) - ((-32)\/6)\/(-2). Let x = p + u. Solve -3*h - b - 10 = b, -5*b = h + x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 6:45 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*t + 3*t - 7*t + (-1 + 4 - 1)*(-1 + 1 + 2*t) as d*t + y and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 132*g + 373. Let i be v(-9). Let w = i + 819. Solve 0 = -l + 4*k - 18, -5*k + 28 = -w*l - 0*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -197 - 125. Let h = -44 + c. What is the units digit of ((-4)\/(-12))\/(0 + h\/444)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.44 - 0.04. Let q be (9 - 8)*-11*-1. Suppose -4*i + 2*g = 30, i - g - 1 + q = 0. Which is the second biggest value? (a) i (b) 1\/11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y + 104*y**3 + 86*y**3 + 2*y**4 + y**2 - 188*y**3 to the form i*y**4 + b + r*y + o*y**2 + l*y**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (83 + 2 - 171) + -1.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - h)*((4 - 2 + 0)*(-2 - 4 + 5) - 3 - 4 + 3) + 11*h + 3*h - 5*h to q + j*h and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111108374 or 111108371?\nAnswer: 111108374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 19?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-81)\/(-9) + -6 - (-2 - -1). Solve 3*w = -5*i - 7 - 3, 0 = j*w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**3 + 10*k**2 - 35*k + 20 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 640 and 2890880?\nAnswer: 2890880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 596 + 2208. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5083947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 105 = 3*v - 87, 3*s - 7*v - 16 - 21 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/891 (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-134)\/(-2278))\/(-1 + (-261)\/540*-2)?\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**5 + 324*b**4 - 6700*b**3 + 4812*b**2 + 31040*b + 19200 = 0?\nAnswer: -1, 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 577*n - 1263. Does 20 divide v(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 1\/2192 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24125 + 10661 = -314*g - 11266 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3396 - 3392. Solve 0 = -t*g + 18 - 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (4 - (10 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.13914 > 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5034758 <= -5034768?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*d - 51*d + 1005 = 0. Calculate the highest common divisor of d and 22713.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27527*f - 554*f + 23899*f.\nAnswer: 50872*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1757+4949550\nAnswer: 4949550.1757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1022200222 (base 3) to base 7\nAnswer: -135611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**3\/3 + 3*w**2 + 15*w. Calculate q(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 = 51*y - 54*y. What is the highest common divisor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/(c*c*c**4))*c)\/c)**(-1\/4)*c**(-5)\/(c**4*c) assuming c is positive.\nAnswer: c**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 10:30 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k**3 + 13*k**3 + 33*k**3 - 13*k**3.\nAnswer: 50*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/(r*r\/((r*r\/((r**(-4)*r)\/r)*r)\/r)*r*r))\/r)\/r**2)\/(r*r**4*r\/(r*r**(1\/11)*r)*r) assuming r is positive.\nAnswer: r**(-43\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 752904101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**7\/2520 - c**6\/180 + c**5\/40 + 11*c**4\/12 - 4*c. Let u(p) be the third derivative of w(p). Suppose u(g) = 0. What is g?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66\/149 - 7067\/1490. Find the common denominator of 83\/10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11458 + 11499. Calculate the highest common divisor of 11234 and q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 4:15 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -19784054.1 to the nearest ten thousand.\nAnswer: -19780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2336 + 0.3336. Which is the closest to f? (a) 0.3 (b) -13 (c) -4 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 512*v - 148810. Give r(-207).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h. Let g be ((-15)\/(-9))\/((-10)\/(-30)). Suppose -15 = -5*c - g*r, -c + 5*r + 3 = -0. Let i(q) = -10*q + 4*q + 10*q. Give c*i(j) - 2*a(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 3\/5 (c) 33 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/2 - 4*b**4\/3 - 3*b**3\/2 + 17*b**2\/3 - 2*b - 4\/3 = 0. Calculate b.\nAnswer: -2, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/10)\/r*r*r**(-1\/16)*r\/r**(-4\/3)*r*r**(-2\/13) assuming r is positive.\nAnswer: r**(9413\/3120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 44266 = -2*p, -39 + 43 = -2*d. List the prime factors of p.\nAnswer: 2, 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**3 + 0*u - 2*u**2 + 0*u**3 - u**4 + 2*u to v*u + f*u**3 + i*u**2 + p + k*u**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3 (b) 9\/5 (c) 0.1 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*q - 57 + 105 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/14*147\/(-42). Solve -13 = -5*a + o*w, -4*w + 7*w + 2 = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*b + 5 = -m - 419*b, 2*b = 2*m - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 7*w**2 + 4*w - 11. Let i = -4 - -4. Suppose m + 2*v - 4 = i, m + 9 = v - 2. Let c be z(m). Is 1\/8 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + q**3 + 2*q**3)*(37 + q + 25 - 72).\nAnswer: q**4 - 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3.6136 (b) 2\/9 (c) -2\/239 (d) 3 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*m + 20*m - 2*m**2 + 4*m**2 - 1)*(-1 + 1 - m).\nAnswer: -2*m**3 - 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 5)*(t - 2*t + 4*t)*(-9 + 15 - 3)*(-1 + 6 - 4) in the form v + u*t and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -291*i - 159. Let f be u(10). What is the thousands digit of 1*((-5)\/(-10) + f\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26132742 and 71892.\nAnswer: 52265484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1779?\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8*(-18)\/6*4\/3. Suppose 4*l - 112 = -4*o, i = 4*o - 2*o - 4*l. Calculate the highest common factor of 216 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 9*u**2 + 20*u + 15. Let f be (-4)\/12*(0 + 3)*6. Let k be l(f). Solve -5*a - k*x = -2*x - 11, -5*x - 5 = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.113 + 140.113. Let m = d + -141.06. Round m to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*u + 50, 0 = -4*h - 12 - 8. Let z(i) = -9*i**3 + 12*i**2 - u*i**2 + 18 + 17 - 39. Let s(o) = 4*o**3 - 3*o**2 + 2. Give 14*s(p) + 6*z(p).\nAnswer: 2*p**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -3 + (10 - 8) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2, 0, 2\/21 in descending order.\nAnswer: 2, 2\/21, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*p - 38 + 878. What is the greatest common factor of p and 1561?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 14) in base 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p - 70 = -2*s, -p - 4 = 4*s. Calculate the highest common factor of 32 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 170.7 + -164. Let y = t - 2.7. What is the third smallest value in 0, 8, y, -2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkeikegkkkeke. What is prob of picking 1 e, 1 k, 1 n, and 1 g?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 12. Let c be j(-4). Solve c = -l - 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 5:58 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29013050 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 1. Let p(u) be the first derivative of -u**3\/3 - 3*u**2\/2 + 2*u - 83. Determine -3*c(r) - p(r).\nAnswer: r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 - 5*n**3 + 3*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/1 - (-2 + -29 + -2). Find i, given that -2 - 8*i**4 + b*i**2 - 7*i**4 - 44*i**3 + 49*i**3 - 18 - 5*i**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.9 + -31. Let g = 48 + b. What is the third smallest value in g, -5, -4, 3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.28883 and -2?\nAnswer: -0.57766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 2:51 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.01 (c) -403\/36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -9. Let t(r) = r**3 + 3*r**2 - 2. Suppose 2*d + 48*k - 47*k = -10, 2*d = k - 2. Let x(p) = 0*p**3 - 5 + 7*p**2 + 2*p**3 + 1. Give d*x(g) + i*t(g).\nAnswer: g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -183 + 186. Solve -h - 5*o = s*h - 20, -4*h + 12 = 3*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7313.3 - 7313. Do c and 192 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**4\/5 - 96*t**3\/5 + 7148*t**2\/5 - 13584*t\/5 - 20826\/5 = 0.\nAnswer: -89, -1, 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8633 - 67529 = -6*a. Suppose -3*b + a = 9*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) -11 (b) -0.1 (c) 0.1 (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6648 or -6650?\nAnswer: -6648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 91906714070 and 4.\nAnswer: 91906714074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18179.3 and 0.3.\nAnswer: 5453.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 1\/45*r**6 + 1\/30*r**5 + 2 - 1\/18*r**4 - 1\/9*r**3 + r + 0*r**2. Let o(p) be the first derivative of h(p). Factor o(b).\nAnswer: 2*b*(b - 1)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 4)*(-284 + 48*u + 284) as s*u + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 6 = -2*h, 2*b - b - 4*h = -19. Let a(m) = -1 + 0*m - 1 + 3*m**2 - b + m**3 - 2*m. Give a(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 2707, 5, -4, -5 in decreasing order.\nAnswer: 2707, 5, 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -6535171270 to the nearest 100000.\nAnswer: -6535200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 16 = 3*f, -15 = -3*l + f + 13. Let v = l + 3. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58*w**4 - 6*w**3 + w + 12 wrt w.\nAnswer: -696*w**2 - 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-23 - -20) - 0 - (2 - 12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 0)*(2*b - 5*b + b) + 17 - 4 - 18 + 16*b + 5.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-5))\/((-2)\/10). Let c(x) = -w*x - 2 + 2*x - 2 + 3. Determine c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*i + 6 + 4, -3*i + 24 = 3*f. Let s = f + -4. Solve -16 = 4*b, -z - s*b - 3*b = 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 215*t**3 + 5*t**2 + 5*t + 173. Let p(v) = -107*v**3 - 2*v**2 - 2*v - 87. Let k(h) = 5*p(h) + 2*y(h). Find the first derivative of k(a) wrt a.\nAnswer: -315*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102212100012 + 112002?\nAnswer: -102211211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1445 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/10)\/((-4)\/20). Calculate the least common multiple of 1 and 32\/u*15\/(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 479, 91, -2 in descending order.\nAnswer: 479, 91, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 76 * 4\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 6:24 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 368 and 3056.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -13*x**2\/2 + 5*x + 2354. Let t(d) = 1. Determine -5*t(l) + z(l).\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 2 - 2)*(-65 + 247 - 14059*d - 59 - 53 - 70).\nAnswer: -56236*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d2e (base 16) to base 11.\nAnswer: 13932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m - 262. Determine q(-46).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2929322 divided by 2.\nAnswer: -1464661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17239286333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 (base 10) in base 6?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 350612 divided by -18?\nAnswer: -175306\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2046 and 37\/18?\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -531, -1054, -1587, -2136, -2707, -3306, -3939, -4612?\n\"Answer: -r**3 + r**2 - 519*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -19*n**3\/6 + 43*n**2 + 117*n. What are the prime factors of f(-22)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**3\/6 - p. Let h(m) = m**2 - 3*m + 3. Let z(y) = -8*y**2 + 22*y - 22. Let u(d) = 44*h(d) + 6*z(d). What is u(i(b))?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -35 - (0 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -235*(-10 + (-15685)\/25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -133, 5, -5.\nAnswer: -133, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1171 = -347. Let c = n + -291. Calculate the remainder when c is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z + 2*a - 78 = -18*z + 18, 12*a - 24 = 0 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 3*l - 6. Suppose 2*x = 4*x + l. Let k(s) = -1. Let m(g) = -6*g + 3. Let j(o) = 4*k(o) + m(o). What is j(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -992.2 - -974. Put -0.3, r, -2\/13 in descending order.\nAnswer: -2\/13, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3 = -3. Let v be (12\/3)\/(m\/(-4)). List the prime factors of (-233)\/(-11) - v\/(-44).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y**2 + 56*y**2 - 16*y**2 - 30*y + 8*y - 19*y**2.\nAnswer: -2*y**2 - 22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 13 (c) 5 (d) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -15, -25.9, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 863614 and 11874.\nAnswer: 875488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 > -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/5 - (-1222)\/235. Suppose -m*j + 12 = -103. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -636.21541 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -530, -956, -1558, -2342, -3314, -4480, -5846?\nAnswer: -7418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 629316?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 604*o - 2091. List the prime factors of g(45).\nAnswer: 3, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 1165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8712534 and 41220.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320194 is divided by 1635?\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.96838? (a) -0.1 (b) 2\/11 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -27*p**7\/350 + 1077*p**6\/50 - 128161*p**5\/75 - 5744*p**4\/3 - 2560*p**3\/3 - 3471*p**2. Factor q(r).\nAnswer: -(r - 80)**2*(9*r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3279*r**2 + 6541*r**2 - 4*r - 2918*r**2 in the form x*r**2 + s*r + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(4\/7)\/l**(-8))**44)**(-5) assuming l is positive.\nAnswer: l**(-13200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 124 - 67 + 2*j - 69. Let r be f(7). Differentiate -r + 5*y**2 - 1 + 14*y**2 + 5 wrt y.\nAnswer: 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903591?\nAnswer: 3, 13, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t = 4. Suppose 5*s + 6 + t = 0, 2*s = -2*x. Suppose 2\/11*q**4 + 0*q - 2\/11*q**x + 0*q**3 + 0 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, c: 1, r: 3}. Give prob of sequence crrc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2872 greater than or equal to -2872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**5\/20 - 5*z**4\/12 + z**3\/2 - 3*z**2\/2 + z. Suppose -24 = -3*c - 3*c. Calculate u(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhqdqhqqqqydqqhhhqyq. Give prob of sequence hy.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n - 2 = 0. Find the common denominator of 97\/6 and n + (-63)\/(-12) - 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rurrurrrrrrrrrrurrrr. Give prob of picking 3 r and 1 u.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*r + 3*p + 5, -p = -5. Suppose -i = 5*a - r - 3, -2*a - 8 = -5*i. Differentiate 1 - 7 + a + x + 1 wrt x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556\/8 - 1\/(-2) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**2 - 32 + x**2 + 32.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -104 * -1645\nAnswer: 171080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-520)\/(-15) - (-2)\/6. What is the greatest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, a: 4, x: 1, g: 1, i: 1}. Give prob of sequence qai.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*b*y**2 - 2*b*y + 2*b - 2316*y**2 - 27*y - 433 wrt y.\nAnswer: -40*b - 4632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7250 and 3190.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-64)\/40 + (-1131)\/65?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 12*x - 1. Let k(y) = y**2 - 6*y + 2. Let b = -23 + 31. What is the remainder when k(b) is divided by g(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1112 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -550\/9 - -2551\/36. Let m = -2310755\/4 - -1155379\/2. Factor m*o**4 - 27*o + 36*o**2 + 0 - y*o**3.\nAnswer: 3*o*(o - 6)**2*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1577 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 3*q**2 - 3*q. Let h be p(-2). Let x be (h*-1 - -26) + 1. Does 12 divide (x - -1) + (-2 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 44*k**2 - 84*k + 1. Let w be z(-42). Find the second derivative of -62*m**2 + 4 + 9*m**2 + 4*m - 3*m + w wrt m.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 28 = 6*q. Solve q + 1 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2078674 is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.3, -27, -23, 7, -1\/6.\nAnswer: -27, -23, -2\/9, -1\/6, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14154?\nAnswer: 2, 3, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 2:53 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2*(-11 + 17). Suppose -89 + 32 = -b*l. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 35 - 33 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -14*x - 4. Let c(r) = 15*r + 5. Let q(d) = -5*c(d) - 6*o(d). What is the units digit of q(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.6 * 4\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 24 + -17 + (-12 - -6)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16950 - 39746. Let v = -4 + 6. Let w be y + (v - (-3 - -9)). What is w rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(35)\/sqrt(320)*2 - (-5*-1*sqrt(42))\/(sqrt(600) - -2*sqrt(600) - sqrt(600)))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.3568.\nAnswer: -0.10704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -7. Let v(j) = j**3 + 10*j**2 - j - 10. Let i be v(n). Suppose i = -3*q + 51 + 3. What is the remainder when q is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/11 + 5335646*g\/11 + 1940232.\nAnswer: 2*(g + 4)*(g + 2667819)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13041855 a multiple of 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 90?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2600*c. Let h(a) = -2*a. Calculate h(z(m)).\nAnswer: 5200*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -16. Let f = 8 - p. Suppose 3*m + 3*u = 5997, -f*m + 0*u = -u - 6001. Round m to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14708 + -9648. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1470 + d**3 + 0*d**3 - 1467 + d**3 + 16*d**2. Determine v(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = 9*c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1. Let n(c) = -c**2 + 4*c - 2. What is n(g) + 3*y(g)?\nAnswer: -g**2 + 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2819383*p**2 + 5638767*p + 2 = 0.\nAnswer: -2, -1\/2819383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1015*d = -374*d + 6410 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -437340 or -70?\nAnswer: -437340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 + 4*k**2 - 20*k - 1. List the prime factors of c(6).\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4354*v + 1618 - 209 = -1462*v - 1483 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -553 by 7.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 + 0*g**3 - 5*g**3)*(93*g + 6858 - 6858) + g - g - g**4.\nAnswer: -94*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180559024?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + -7. Let i be 2\/y - 670\/(-35). Suppose 5*k - 9 = -4*c + i, 3*c = -2*k + 7. Solve k = 3*q - 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2\/3 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/((2*sqrt(96))\/sqrt(12)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11915 is divided by 119.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 275\/(-66)*720\/(-100). Factor 0*h + 27\/2*h**4 - f*h**3 + 0 + 6*h**2.\nAnswer: 3*h**2*(h - 2)*(9*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 4. Let s = k - -6. Calculate the remainder when 5 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y - 5*y**2 - 1 + 3*y**3 + 7*y**2 - y**2 - 2*y**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y - 20*y = 14 + 18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 - -13 - 68740\/(-70) and 2241?\nAnswer: 8964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + 5 - 3*-1. Suppose x = 6*h - 4*h. Solve h*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*i - 4554 = -7011. Let d = -297 - -612. What is the greatest common divisor of i and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r**2 - 490*r - 185. Give f(-54).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 3*j + 19 + 17)*(86*j**4 + 114*j**4 - 7*j**4).\nAnswer: -579*j**5 + 772*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -588.\nAnswer: -1\/588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 1 - (0 - -2). Suppose -5*t = -2*t. Let m(w) = 1 - 3*w + 0 - w**2 + t. Calculate m(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/36 - (-52)\/(-9). Let i = -3 - f. Determine k so that -2\/5*k**4 - 2\/5*k**i + 0*k + 2\/5*k**2 + 2\/5*k**5 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (19 - (34 - 5)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21616 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 7. Let z be y(9). Let g = z - -2113\/24. Let r(t) = 2*t**3 - 9*t**2 - 5*t. Let h be r(5). Are g and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 18*m**3 + 3*m**2 + 3*m + 1. Let d be o(-2). Let b = d - -200. Calculate the remainder when b is divided by (3\/(-1))\/((-6)\/44).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5*w**(-2\/5)\/w*w)\/(w**(-2\/7))**5 assuming w is positive.\nAnswer: w**(211\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 3*d**2 - 3*d - 2. Let w be v(-2). Let u be (-8)\/(-12)*(-6 + w). Is u\/(1\/(-1 - 1)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/6 bigger than -416605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 1 - (228 + -204 + 1 + 2).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5805802, 11611597, 17417382, 23223151, 29028898?\nAnswer: 34834617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 divided by 2?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b**2 + 256*b - 190. Calculate n(36).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**5\/60 - 7*g**4\/24 - g**3\/6 - 40*g**2. Determine t(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 16*w - 24 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p - 1. Let m be h(-6). Suppose -m = -y - 5*b, -9 = -3*y - 3*b + 42. Let z = y + 1. What is the highest common divisor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 679572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(81)\/sqrt(3)*5*-1 + ((sqrt(33)*1 + sqrt(33))*2)\/((-4*sqrt(11)*1 - sqrt(11)) + sqrt(11))).\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/63 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20862845 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - q + 33. Let p(s) be the second derivative of s**4\/12 - 7*s**3\/6 + 3*s**2 + 3*s. Let l be p(6). Is b(l) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4, 1\/17.\nAnswer: 1\/17, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15*16.929\nAnswer: -253.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 4. Suppose -y + 30 + l = 0. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54\/7*k**2 - 18\/7 + 15\/7*k**3 + 3*k = 0.\nAnswer: -3, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.03 (b) 0.3 (c) 34 (d) 586\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -2*y**3\/3 + y**2 - 4*y - 19. Let u be k(5). Calculate the common denominator of 1466\/(-198) + 2 + 80\/u and -51\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0051 and -3?\nAnswer: 3.0051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7957 and 24322369?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-1))\/((-6)\/21*7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 273.42 - 277.76. Which is the nearest to -2? (a) 2 (b) -2\/5 (c) k (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 1157723.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 144482737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*d - 165*d - 113*d - 180*d - 161*d + 775*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11123001002 (base 4) in base 12?\nAnswer: 586682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 9*c**2 + c + 67. Let t be i(9). Let j = 36 + t. Calculate the greatest common factor of 80 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1906656772 to the nearest integer?\nAnswer: 43665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.238988 - -0.238. Round y to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7871705 is divided by 1336.\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(343)*2*-6*-4 - (-3 + -2 + sqrt(343) + -5*(sqrt(343) + 2)))**2*-3.\nAnswer: -39530739 - 123480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u + 14*u**2 - 1361 + 10*u**2 - 18*u - 194 + 4*u**2 - 2*u**3 wrt u.\nAnswer: -6*u**2 + 56*u - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -3, -1\/11, -1\/40, 5, -2\/9?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2421772?\nAnswer: 2, 605443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 199 - 346. Let w = r + 955\/6. What is the common denominator of w and -15\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 2648254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 937 or 6562\/7?\nAnswer: 937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(3*g + 2*g - 4*g)*(-g + 0 + 0) + 1 - 1 - g**2 + (3 + 1 - 2)*(7*g**2 + 0*g**2 + 2*g**2).\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0056509936 rounded to 6 dps?\nAnswer: 0.005651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**21*i)\/(i\/(i**(2\/11)\/i)*i) assuming i is positive.\nAnswer: i**(211\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 - 3*o**4 - 3*o**4 + (2*o**2 + 0*o**2 - 3*o**2)*(o - o - o**2))*(1 + 0 + 2)*(-2*o - 3*o - 3*o).\nAnswer: 144*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1249.73 - -1187. Let l = c + 63. Let y = l + -0.26999. Round y to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 18 = 30. Let i(x) be the third derivative of x**4\/24 + x**3\/2 + x**2. Give i(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.28 - -0.08. Which is the third biggest value? (a) 3\/4 (b) 0.2 (c) f (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*o = -5*o - 19, -5*o = -2*i + 29. Suppose -i*u = -5525 - 6075. Round u to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - 8\/3*48\/(-32). Solve -3*k - 4*w + 21 = v, -k + 5*w = k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 1:40 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 79295.4 tonnes in grams?\nAnswer: 79295400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 305 + -186. Suppose -27 = 2*l - a. Let h = 65 - l. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534*t**2 + 1800*t**2 + 1416*t**2 - 393*t**2.\nAnswer: 2289*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(153) - sqrt(153)*-2)**2 + -4 + (-5 + 0 + sqrt(153) - sqrt(153)) - (-1*sqrt(153)*-2 + (sqrt(153) - (sqrt(153) + 0 + sqrt(153))*-5))**2).\nAnswer: -24484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 16) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 2*c - 52 = -4*z, -4*c - 3*z + 887 - 904 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3)\/n**3)\/(n\/(n*(n\/(n**(-6)\/n))\/n*n)*n**(-6)*n) assuming n is positive.\nAnswer: n**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116011248.\nAnswer: 2, 3, 43, 56207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3992, 7968, 11946, 15926, 19908, 23892?\n\"Answer: b**2 + 3973*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -75029 smaller than -74993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 4*r + 32. Let l be c(-8). Suppose l = 4*x - 3*o - 2613, x + 2*x + 2*o - 1981 = 0. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75 - 30*a - 5\/3*a**2.\nAnswer: -5*(a + 3)*(a + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 11600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 105, 136, 147, 126?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -10, -1 in descending order.\nAnswer: 7, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*k**2 - 11*k**2 - 8*k**2 + 16384 - 512*k - 8*k**2 - 14*k**2 = 0.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (93 - 110) + (9 - -1) - -11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {b: 3, a: 3, y: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.54 - 0.06. What is the biggest value in 3\/4, -1\/6, n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 6*t**7\/7 + 58*t**6\/15 + 24*t**5\/5 + 4*t**4\/3 - 2*t + 3. Determine k so that j(k) = 0.\nAnswer: -2, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267 + 25*b - 9*b - 542 + 8*b + 276.\nAnswer: 24*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltltlt. What is prob of sequence lltl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5116, -10232, -15348?\n\"Answer: -5116*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/3 + 140\/5?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2981276?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -213 + 67 + 75 + 825*l + 71 to the form h + x*l and give x.\nAnswer: 825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287857412.\nAnswer: 2, 283, 254291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7509 + -1654. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 772*g**2 - 2*g**3 - 7287 - 772*g**2 + 14602 - 7315.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*o + 75*o - 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95832 by 4356.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.503566 to zero decimal places.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 73604.56 millennia?\nAnswer: 736045.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.026 + 0.974. Which is the closest to u? (a) -3\/8 (b) -0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 14 + 16 = 0. Let c = 83 - 55. Calculate the remainder when c is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9042 - -13663. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-21)\/((-126)\/(-96)) + (-11)\/1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -7*g + 66. What is the remainder when g is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 11*j - 3. Let u be d(8). Suppose 2*s + s = 5*r - 51, 3*r - 5*s - u = 0. Calculate the remainder when r is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(3\/(90\/(-40))))\/((-93)\/4)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 6660?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -450 + 455. Which is the closest to -13\/2? (a) 4 (b) f (c) 3\/4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-125)\/250*88\/4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 754380 and 4818?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00109864193 to six decimal places.\nAnswer: 0.001099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**5 - 3*y**5 - 4*y**5 + (3*y**4 - 6*y**4 + 9*y**4)*(6*y - 3*y - y + (-y + 2*y - 3*y)*(-2 + 3 + 1) - 2*y + 0 + 0).\nAnswer: -28*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q + 5. Let t be d(9). Let h = t - 53. Let k(r) = r**3 - 4*r**2 - 7*r - 8. What is k(h)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11019668 and 5566.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 - 4*w**2 - w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24182282 to the power of 1\/2, to the nearest integer?\nAnswer: 4918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 + 39 = 130*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -23 (c) -2 (d) 52 (e) -5 (f) -39\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4776661920 and 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*m = -111*m - 108*m + 66 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 151 and -29.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*q**3 + 61*q**2 - 61*q**2 + 2*q**3 + q**3 - q**3 + q**3 + q**2 - q**2 + (0*q - 2*q - 2*q)*(-6*q**2 + 2*q**2 + 3*q**2).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/8 - 53*s**2\/4 + 215*s\/8 - 27\/2.\nAnswer: -(s - 1)**2*(s + 108)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k + 4. Let m be k\/13*2\/(-2). Let s be 1*((-3)\/(-1) + 0 + -3). Is m greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ququ when four letters picked without replacement from {u: 7, q: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -1 - -1) + 1. Let q = -2 - z. Let j be (-839)\/(-4) - q\/12. Round j to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 607873099*w**2 + 412009824*w wrt w.\nAnswer: 1215746198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4908132 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: Let x(f) be the third derivative of -f**4\/8 + f**3\/6 - 62361*f**2. Let z(w) be the third derivative of -w**4\/24 - 2*w**2. Give x(z(t)).\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -19, -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 2 - 2*a**2 - 10.\nAnswer: -a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -393, -5, -4, 2, 5, 13, 6 in descending order.\nAnswer: 13, 6, 5, 2, -4, -5, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 2*k + 8*k + k - 4*k + 4*k + (-k - 2*k + 5*k)*(4 - 1 - 1))*(2*k - 2*k + k**3).\nAnswer: 19*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17277, -1, 14 in decreasing order.\nAnswer: 14, -1, -17277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1132562*f - 9060491. Give u(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 33 = -4*m, 3*k - 6*k = -55 + 82 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52 + 12 - 5 - 24)*(-3*n - 3*n + 0*n) as r + w*n and give w.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 8. Let q be i(7). Is 2 + 4317 + (q - -7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.089 + -0.411. Which is the third biggest value? (a) 5 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (55\/(-11))\/(((-10)\/(-12))\/((-17)\/(-6)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(19) + -3*(sqrt(19) + 1))*1.\nAnswer: 12 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121113 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a6 (base 14) to base 15.\nAnswer: -875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22606 (base 7) in base 14?\nAnswer: -2176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3300670987?\nAnswer: 3300670987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 746.2485ml in litres?\nAnswer: 0.7462485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 30 = -3*u + 5*z, -2*u = -z - 26. Let a(d) = 11*d - 58. Let v(c) = -32*c + 170. Let m(q) = -17*a(q) - 6*v(q). Does 9 divide m(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**3 - 3118*g**2 - 551027*g - 547910 = 0.\nAnswer: -2930, -187, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2326047217 to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 24380 = 5*d, 68*b - d + 24396 = 64*b. Let v = -4117 - b. List the prime factors of v.\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10634651?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1659 - -0.5659. Which is the nearest to 0? (a) -0.15 (b) 5 (c) y (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - a - 0*a - 27, g = -4*a + 28. Suppose 0*w + g = 2*w. Differentiate -2 - 3 + 9 + k**4 + 2*k**w with respect to k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 7*t**3 + 4 + 7*t + 4*t**3 - 7*t + (-2*t + t + 3*t)*(-t**2 + 3*t - 3*t) + 0*t**3 + 0*t**3 - t**3 - 3*t**3 + t**3 + 3*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 423*f*h**3 + 1016*f*h**2 - 3*f*h + 2*f + 2*h**3 + 67456*h**2 + 726 wrt f.\nAnswer: 423*h**3 + 1016*h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*r + 25*r = 5*r - 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) 3.6 (c) -2.47 (d) 4 (e) -5 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9*q + 3. Let k be g(-3). Suppose -3*x = -4*x + k. What is the highest common factor of 12 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 19*k + 9 + 3 - 7*k to the form s*k + b and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**5\/15 - y**4\/3 + 2*y**3\/3 + 3*y**2. Factor h(d).\nAnswer: 4*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s\/s**(2\/45))\/(s**(-13)*s**3) assuming s is positive.\nAnswer: s**(718\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72684, -145352, -218020, -290688, -363356, -436024?\nAnswer: -508692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 52?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 + 347*d - 263. Let g be q(86). Sort -6, -179, 2, g in increasing order.\nAnswer: -179, -6, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -37\/686 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 1 + 93*s**2 - 1 - 39*s**2 in the form g*s + u*s**2 + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108902*j - 108907*j + 217798*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, x: 1, l: 2, y: 4}. Give prob of sequence dlx.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*f - 2. What is the nearest to -1 in 0.5, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225108693?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/3 (b) 8 (c) -0.4 (d) -2 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 68*f**3 + 4*f**2 + 2*f - 6. Let s be v(3). Is s\/21 + 7\/(-49) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6342499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxxnnonunhhvxvh. What is prob of sequence xv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1243180.\nAnswer: 2, 5, 61, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -852, -855, -852, -837, -804, -747, -660, -537?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -4. Let a be -7 + m\/3*-3. Let t = 2 + -3. Put t, -2, a in descending order.\nAnswer: t, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5. Let r(h) = -h**3 - h**2 - h + 66. Let m be r(u). Find the third derivative of 66*y - 3*y**2 - 3*y**5 - m*y wrt y.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 71 = -321*p + 326*p, -p = 4*t + 43. Let j = 0 + 0. Which is bigger: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.06061 rounded to one decimal place?\nAnswer: 175.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*x + 34, 4*x + 26 = 4*a - 6. Suppose -a*p - h + 457 + 45 = 0, -5*p = 3*h - 496. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 8162.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 567*t - 8. Is a(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000679 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*u - 5*i, 5*u + 2*i - i = 10. Calculate the smallest common multiple of 67\/3 + 3\/(-9) and 4*(-1 + 1 + u).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 4831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 411*s**2 + 1232*s\/3 - 1\/3 = 0.\nAnswer: -1, 1\/1233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (57\/(-133))\/(70\/49)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 18 = -2*d, -3 + 1 = 3*d + k. Let h be 1\/d + 0 + -2. What is the tens digit of (5\/(-5))\/(h\/13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6503891, -13007783, -19511675?\nAnswer: -26015567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1185*w**3 + w**2 - 1. Let p be a(1). Suppose -v - 4*v = 5*h + p, 5*h - 5*v + 1225 = 0. Let o = h - -3060. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1877153 (base 9) in base 7?\nAnswer: -11652531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4917 divided by 1639.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -3, 2, 3, -2 in increasing order.\nAnswer: -3, -2, 2, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 22*z = -5*v - 41, 4*v = -5*z - 51. Is z at least -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87097190 is divided by 21774284.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7725, -7038, -5893, -4290, -2229, 290, 3267?\nAnswer: 6702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2*y + 197 = -197 + 404, 3*f + 8*y = 21 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80522 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 418129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 72 = -5*k, -3*m + 4*m = -2*k + 26. Calculate the greatest common factor of 98 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373796282.\nAnswer: 2, 733, 254977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2846374*t**5 + 4*t**2 - 13686*t + 3 wrt t.\nAnswer: 170782440*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-4))\/(6\/4)*4. Suppose -p*c + 6*c + a - 43 = 0, -c + 3*a = -1. Calculate the lowest common multiple of c and 34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 60 = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Suppose 3*o + 0 - 9 = 0. Let f(l) = 0*l + 1 - 2 - o*l + 0*l. Let m be f(-1). Give n(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1720*p**2 - 192652*p + 1344 = 0. What is p?\nAnswer: 3\/430, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 45760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3862673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1122 - 1118.8905. Let d = o + -3.11. Round d to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 15*a + 33 = -14*a, 2*n - 4*a - 96 = 0. What is the remainder when 426 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41\/2 of a century?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 997960.5 seconds in nanoseconds?\nAnswer: 997960500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -3.3175942.\nAnswer: 8.6824058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5511954, -11023898, -16535842?\n\"Answer: -5511944*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4583077*x**4 + 3168915*x wrt x.\nAnswer: 54996924*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -111?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 4:19 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 33, 45, -12, 0.2, 2, -3\/16?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -1. Let a be 4\/o*75\/(-5). Determine b so that 18*b**3 + 4*b - 4*b**3 - 8*b**2 - a*b**2 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1 = 26. Find the second derivative of -8*b**3 + 0*b + j*b + 0*b**3 + 0*b wrt b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31513.9957037 - -31514. Round u to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 321698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h + 16. Let i(u) = -6*u + 16. Let o(k) = -4*i(k) + 5*q(k). Let c be o(13). Solve -c*l = -0*l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v. Let n(l) = -1194 + 23*l**2 + 599 + 595. What is b(n(r))?\nAnswer: -115*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.26 rounded to 0 dps?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 36*k**2 + 54*k - 147. What are the prime factors of i(35)?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-3)*3\/((-15)\/1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 2384.6.\nAnswer: -7153.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356.16 centuries to years.\nAnswer: 35616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, 10, -167, -3, 5 in descending order.\nAnswer: 10, 5, -3, -4, -7, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -1 + (-74 + -150 - -194)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 666583 and 2077.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(7 + 2\/(8*(-11)\/286)). Solve 4\/9*t**s - 2\/9 - 4\/9*t**5 - 2\/9*t**4 - 4\/9*t + 8\/9*t**3 = 0 for t.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3349784152 to the nearest integer?\nAnswer: 57877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 0. Let g = i - -10.104. Let n = g - 0.012. What is n rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.26 - 0.26. Let p = 0.1 + 0.4. What is the closest to 0.3 in l, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60375*y - 57310*y - 136882*y.\nAnswer: -254567*y","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 31 = -4*y. Find the first derivative of -5 + y*a + 0 - 5 + 4 wrt a.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5061367, 5061379, 5061393, 5061409?\n\"Answer: h**2 + 9*h + 5061357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2056394827 and 10?\nAnswer: 20563948270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (226 - 224)\/(-4*3\/(-114)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*u - 48, 5*w + 15 = -4*u - 51. Sort -2, -25, 4, u.\nAnswer: -25, u, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (-4 - 1) - 128\/(9 - 25). Suppose -3*l + 12 = l. Let c = l - 1. Solve 0*b + c*b + 2*r = 6, -h = -5*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m**2 - 4*m + 3. Suppose -2*h = 15 - 19. What is the units digit of j(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 7:22 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 2 - 11 - 1583*g.\nAnswer: -1583*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2877 divided by -5.\nAnswer: 2877\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 9:31 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 699514, 699508, 699502?\nAnswer: 699496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46098.\nAnswer: 2, 3, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*(2 - 2 - v)*((14 - 21 - 8)*(-3*v + 6*v - 2*v) + 0*v + 2*v + v) to m + r*v**2 + k*v and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-15) - 570\/(-9). Let i = 66 + p. Suppose -7*o = -5*o - i. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(1\/5)))**31\/((v**(3\/7)\/v)\/((v*v\/v**5)\/v)))\/((v**(-7)\/v**(-4))\/((v*v**(-2\/13)*v)\/v*v**(1\/9)*v)) assuming v is positive.\nAnswer: v**(-19129\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20112 - 10220210?\nAnswer: -11011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37200, 37694, 38188, 38682?\nAnswer: 39176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 - 0.01. Let p = 15 - 16. Which is the closest to p? (a) o (b) -0.2 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -611712 (base 8) in base 14?\nAnswer: -536d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14238 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/10 and -7\/970295.\nAnswer: 1940590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -6.8. Let t = -0.3 - 0. Let q = 503 + -503. Which is the nearest to 0.2? (a) q (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.7, 3.4, -92, 3\/2, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*z + 5*j + 15, 2*z + j = 6. Suppose 2*v + 2 = 0, w + 12 = -z*v + 10. Let d(l) = -12*l**2 + 2*l - 1. Give d(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from keseeuasses. Give prob of sequence sssu.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 8*o**2 + 7*o + 3. Let k be (-2)\/((-12)\/(-38)) - (-2)\/(-3). Let l be y(k). Is 6\/(-3) - -198 - (-1 + l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326321521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28\/9*o**3 - 2\/9*o**4 - 4\/3*o + 4\/9*o**5 + 0 + 38\/9*o**2 = 0 for o.\nAnswer: -3, 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-6))\/(k*(k**(-8\/5)*k*k)\/k))**(-25) assuming k is positive.\nAnswer: k**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 353b6?\nAnswer: 353b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (914215 - 914215 + 191*q)*(-q**2 + q**3 + q**2).\nAnswer: 191*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*p**3 - 3*p + p - 6 - 30*p**3 to s*p**3 + r + z*p**2 + n*p and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 41. Let c(a) = a**2 - 21*a + 18. Let g be c(21). Calculate the highest common divisor of g and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 4. Let m be -4*(-4 - 7\/(-2))*3. What is d(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5\/2 (b) -1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -239 - -239.222. Let f = y + -0.22200156. What is f rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -3*b - 2*o, 10*b + 4837*o + 158 = 4853*o for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -349, 1, -52, 5\/3 in descending order.\nAnswer: 6, 5\/3, 1, -52, -349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3545 divided by -374?\nAnswer: -3545\/374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2940 = -2*u. Let i = -514 - u. Suppose 2*n + i = 3*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44)\/(-6) + 7\/(-3) + 3. Let f = j + -3. Solve -3*a - v - 1 - 3 = 0, 5 = -f*v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 2*i + 24 = 0, -47 = -8*p - i - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 64 = -2*p. Suppose p*c + 40 = 33*c. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uau when three letters picked without replacement from uuuuuuaa?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(3 + 1 - 2)*(14*v**3 - 11*v**3 - 17*v**3) - 2*v**3 + 2*v**3 - 2*v**3.\nAnswer: -30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -288 + 12382\/43. Which is the closest to -1? (a) j (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(2) - sqrt(6)\/sqrt(147)))**2.\nAnswer: 931\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwhyhhhpnnhnhwn. What is prob of sequence wp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -23*d + 1. Is s(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54930.56l?\nAnswer: 54930560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 0.821?\nAnswer: -0.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d. Suppose 24 - 9 = -5*q. Let h be t(q). Suppose 4*u = u + h. Solve -2 - u = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w**3 - 9*w**2 - 9*w + 9. Suppose -6*y + 26 = -28. Let j(s) = 0 - 4*s**2 + 4 - s - 3*s - 3*s**3. Calculate y*j(v) - 4*q(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-5\/4))\/c)**(3\/26)\/(c**(-4)*c)**(-41) assuming c is positive.\nAnswer: c**(-12807\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -46. Let f = -11 - p. Calculate the remainder when 54 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173 + 2*v - 86 - 87 + 6*v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 2135233 and 2135233 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - n**2 - 13 - n**2 + 14 in the form x*n**2 + v*n + m and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**2 - 8*z - 1. Let s(i) = -3*i**2 - 8*i - 1. What is 5*g(p) - 6*s(p)?\nAnswer: -2*p**2 + 8*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -29*m**2 - 9. Let w(s) = -7*s**2 - 2. Let o be (-6*12\/48)\/(1\/158). Let g = 235 + o. Calculate g*a(v) + 9*w(v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 12*s - 1 - 4 + 5. Let i(v) = -2*v**2. Calculate i(a(w)).\nAnswer: -288*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -497 + 826. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9689593231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 1. Let z(h) = -h**2 - 4*h - 1. Let x be z(-2). Suppose 9*g + 3*o - 6 = 4*g, o - 2 = x*g. Calculate d(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4894094141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 316523873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7579*u**3 + 2326*u**2 - 46605579 wrt u?\nAnswer: -22737*u**2 + 4652*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -452592, -905025, -1357458, -1809891, -2262324?\n\"Answer: -452433*w - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 11*h**2 - 2*h - 20. Let u = -52 + 41. Let o be x(u). Solve o = -4*n + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004132236585 rounded to 7 dps?\nAnswer: 0.0000413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -291\/5 + 868\/15. What is the nearest to 0.865 in 0.4, -3, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 26*b**2 + 59*b - 30. Let o be v(23). Suppose 0 = -19*d + 1627 + o. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from {t: 3, k: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 5*y - 30, -5*s - 70*y - 5 = -66*y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**7\/140 - n**6\/120 - n**5\/120 - n**2\/2 + 2. Let p(s) be the second derivative of l(s). Factor p(m).\nAnswer: m**2*(m - 1)*(3*m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 10 = -4*f. Suppose -3252 + 180 = -f*r. Suppose -10*l + r = -112. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {w: 2, d: 6, c: 9}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.19 take away 0.26?\nAnswer: -17.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -339 divided by -2\nAnswer: 339\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 496754.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 83488 = -42. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74851480 by 68420.\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9407.09 meters?\nAnswer: 9.40709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -10 (b) 0.7398 (c) 1.9 (d) 1\/4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 1 + 0)*(-438*r + 438*r + 14*r**2) + 7*r**2 + r**2 - 4*r**2)*(-2 + 25*r - 78*r + 34*r) in the form i + c*r**2 + n*r + s*r**3 and give s.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/15, -2, -0.1, 1\/3.\nAnswer: -2, -2\/15, -0.1, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16195579 to the nearest integer?\nAnswer: 4024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635.8 <= 1\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**3\/3 - 15*y**2 - 170. Let t(h) = h + 5 - 5. Calculate f(t(p)).\nAnswer: -p**2 - 30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 10725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 128.5 and 746.\nAnswer: 95861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.3, -0.711.\nAnswer: -5, -0.711, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 77\/(-429)*(-25)\/(4900\/(-42))\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8414641981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 196*b**2 - 1744*b + 11424. Give h(187).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -2585909.\nAnswer: -4\/2585909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*w**2 + 56*w**2 + 58*w**2 - 222*w**2 + 54*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 4, -5 in decreasing order.\nAnswer: 4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 104999 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 344, 516, 688?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 + -28. Suppose -c + 0 + k = 0. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4914 - 4914.0002731. What is m rounded to five dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3551\/55422 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*w + 2*g, 2*g = -3*w - 0*g. What is the least common multiple of 12 and (14\/35)\/(w\/(-20))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = -32*c + 81*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -182 + 177.92. Let m = -0.08 - v. Let n = 436\/45 - 86\/9. Which is the third biggest value? (a) n (b) m (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12897*b**3 - 18536*b**3 - 14504*b**3.\nAnswer: -20143*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 1 + 66)\/(0 + -1). Let q = 66 + j. Solve 0*s - q = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40648658.23519 take away 0.5?\nAnswer: -40648658.73519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27268 and 36?\nAnswer: 245412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17415894 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: Expand (-6 + 10 + 10)*(0 - 11*v + 0)*((v - 6*v + 3*v)*(v + 2*v - 4*v) - 2*v**2 + 2*v**2 + 2*v**2 + 3 + 4*v**2 - 3).\nAnswer: -1232*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8, -4, 10, 40, 92, 172, 286, 440?\n\"Answer: y**3 - y**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-86)\/(-14147)*-42*2\/(-12)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.7 - -23.8. What is the third smallest value in 5, g, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13880 by -10.\nAnswer: -1388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56818*l**6 - 9*l**2 - 449?\nAnswer: 6818160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10822348 (base 9) to base 6\nAnswer: -304543112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1515489499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 5.8. Let z = l + -0.2. Let g = z + -2. Which is the second biggest value? (a) 1\/2 (b) -1\/8 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 19 = 3*j, 3*z + 0*z = -5*j - 25. Put j, -5, -38 in decreasing order.\nAnswer: j, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 + (35 - 90) + 42?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/214020 and 47\/3103290.\nAnswer: 6206580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 7*j - 3*j - 17, 0 = -2*a + 3*j. What is the hundreds digit of (-63916)\/(-114) + (-2)\/a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (sqrt(200) + -3 + 1 + sqrt(200))**2).\nAnswer: -4824 + 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 9*f + 54. Calculate the remainder when d(22) is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 16*w - 48 = 0. Let z be 55\/22*w\/(-10). Find the third derivative of 9*y**2 - 29*y**2 + 9*y**z + 7*y**6 wrt y.\nAnswer: 1920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.7*-0.959986.\nAnswer: 3.5519482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j + 89. Determine k(-9).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2605972 to the nearest integer?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 63 - 4*d**2 - 63 + 0*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of w - 10*w + 50*w**5 - w**6 + 2*w**6 + 4*w**2 - 5*w**2 wrt w.\nAnswer: 120*w**3 + 3000*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 33*z**2 + 27.\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 13 = 4*q, -4*k = -q - 4*q - 14. Let b be (-1)\/(q\/10) - -2. Find the second derivative of m - b*m - 7*m**4 - 2*m wrt m.\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(-14)*t*t\/((t\/t**(-14))\/t)*t**(-1\/6)\/t*t\/(t*t**3) assuming t is positive.\nAnswer: t**(-169\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 3580253?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 40 = -2*x, x - 19 = 4*d + 1. Let f be (1 - 10\/5) + -19. Let g = 38 + f. Which is greater: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w)**27*w**2\/w*(w\/((w\/(w**0\/w*w))\/w))\/w*w*w assuming w is positive.\nAnswer: w**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -743.3 + 747.3. What is the fifth smallest value in -1, 1\/4, d, 0.5, 8\/15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178761 divided by -4?\nAnswer: -178761\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 185370 to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -17*h + 6. Let s(y) = -11*y + 4. Let k = 104 - 90. Let i = 9 - k. What is i*n(z) + 8*s(z)?\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 214*x**5 - 187*x**2?\nAnswer: 12840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-219 - -287 - (-1 - 18))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(23*i - 39 + 39) + 4*i - i - 2*i in the form c + p*i and give p.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976 is divided by 532.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 370 and 26131990.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6417620 and 1750260?\nAnswer: 19252860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 9*x - 29. Let s(o) = -o**2 - o + 1. Let i(v) = -2*s(v) + w(v). Let j be i(-13). Which is smaller: j or -33\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((4\/10)\/(-1))\/(8\/2080). Let r = o + 67. Let x = r - -142. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -6.7\nAnswer: -33.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 47080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2129562051.\nAnswer: 3, 709854017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 275*s - 11285. Give y(50).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -99 + 311?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/(-182) - 12\/70.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) -3\/2 (b) -32 (c) -1\/8 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, g: 1, x: 11, l: 1, y: 1, v: 3}. Give prob of sequence ylyg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*5*((0 + (sqrt(720) - (sqrt(720) + 0)) + sqrt(720) - sqrt(720)) + 4)**2 + -1.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1127 - 1777. Let f = n + 431. Let p = f + 218.9998945. What is p rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*l = 183, 5*u - 299 - 600 = -l. Calculate the remainder when u is divided by 88.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(0 - (-1 + -2)). Let u(n) be the second derivative of n**4\/12 + 2*n**2 - n. Let d be u(v). Solve d*i + 1 + 3 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4554 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614.508 months to decades.\nAnswer: 5.1209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (9 - (1 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 8*r + 1. Let t be v(-7). Suppose 0 = m - 3*m + t. Suppose -4*l**3 - 5*l**2 - 2*l**m - 3*l**2 + 12*l**3 = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0038098 to 6 dps.\nAnswer: 0.00381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/4*(-36)\/(-81)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 43. Calculate the highest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19322416.3 and -192.25?\nAnswer: 19322224.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5121.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(2\/40*-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -21*p**2 + 4*p - 3. Let d(a) = a - 1. Let q(g) = -d(g) - w(g). Is q(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z. Let m be w(-1). Suppose 148 = 4*v - 5*o - 39, m*v + 4*o - 232 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 29*b = -58*b + 4*f - 63, 1 + 5 = 3*f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -84ac7 + -4?\nAnswer: -84acb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**2\/2 - 2*c - 6. Let r be a(-2). Let u be (0 + r)*(-4 - -5). Solve 0 = -x + 3*x - 5*i + 25, u = -5*x + 3*i - 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-8)\/j*j**(-8) assuming j is positive.\nAnswer: j**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 2)*(-114*m**2 - 2*m - 13 - 106*m**2 + 216*m**2).\nAnswer: -12*m**2 - 6*m - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -31?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 740490 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(2*l + 0 + 0)*(1 + 0 - 3)*(-2 - 1 + 2).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -67*v - 8*v. Put 28, -4, v in ascending order.\nAnswer: -4, v, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a - 10. Let l = -10 + 4. Does 8 divide x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 379 and 334657?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-333)\/18 + 8)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 0 - 0) + 5. Let n(w) = 4*w**2 - w - 8. Let i be n(6). Suppose -5*z - l*y = -i, 44 = 2*z + 4*y - 18. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = r - 131*a + 136*a, 5*r = -4*a - 37 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 - 0.08. Let c = u - 0. Sort 0.5, c, 0.1 in decreasing order.\nAnswer: 0.5, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -120, 35922 in descending order.\nAnswer: 35922, 0, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.255 - -0.025. Which is the nearest to 0.1? (a) v (b) -1\/5 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 6*w = 3*t - 33882, 2*t + 3*w - 22583 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -6. Solve 2*g + 7 = k + 2*k, 0 = x*k - 25 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 89*b**2 + 5*b - 5. What is the tens digit of u(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5*(sqrt(700) + 3)*6 + -5 + sqrt(700)*6*-2))**2.\nAnswer: 319200*sqrt(7) + 4975300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 3*s**2 + 92*s + 44. Determine i(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = g - 2*g - 207348, -i + 41454 = 5*g. Let d be (-4)\/14 + 0 - 49732540\/(-308). Let v = d - i. Round v to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 777478065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 3*f**2 - 2*f**2)*(-4 + 4 + 1)*(2 - 4 + 4).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 1\/24*w**4 + 0*w + 0 - 2*w**2 + 1\/30*w**5 - 1\/6*w**3. Let g be r(1). Solve 2*m + 3 = 6*v - 3*v, -g*m = -5*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 965520 and 4172?\nAnswer: 6758640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -274 bigger than -274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 23*c**2 + 22. Let d be r(23). Let o be 21 + (-1 - 1)\/(-2). What is the highest common divisor of o and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrpppprprr. What is prob of picking 2 p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 10, 0*j + 2*k + 50 = 5*j. Suppose -4*n + j = -l, -n + 5*l + 0*l + 22 = 0. What is the third derivative of -b**2 - b**3 + 0*b**2 + 2*b**n wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61500 divided by 410\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 6, 0.4, 5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -21 (c) -0.02 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5936591 divided by -6?\nAnswer: 5936591\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 9. Let h(t) = -4*t + 10. Let r be 2\/26*2 - 160\/26. Let u(w) = r*y(w) - 5*h(w). Let v(o) = 6*o + 13. Give 7*u(g) - 2*v(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 6, m: 4, x: 2}. What is prob of sequence xz?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 632054.4l to millilitres.\nAnswer: 632054400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5989*v - 5955*v + 544 = 0 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 6*p**2 + 7. Suppose 2*w = 5*w, 12 = -2*s + 4*w. Let x be m(s). Suppose 0*q = -4*n + 3*q + 16, -q - x = -3*n. Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*c + 34 + 23 = 0, 0 = -5*m - c + 243. Let u = -924778 + 924898. Calculate the remainder when u is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 5*p + 6*p + 75 - 4*p - 52.\nAnswer: -3*p + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 12*s + 57. Let h(i) = -4*i - 19. Give -17*h(n) - 6*y(n).\nAnswer: -4*n - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*q - 8623 = -3*o - 8756, -o = 2*q + 49 for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4 - (-9)\/2. Let c(b) = -110*b + 22. Let t be c(7). Let z be (4\/(-5))\/2 + t\/(-170). Solve 12 = z*p - w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 0*g**4 - 1\/24*g**3 + 0 + g + 1\/240*g**5 + 1\/2*g**2. Let j(v) be the first derivative of z(v). Factor j(p).\nAnswer: (p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -194, -459, -794, -1199, -1674, -2219, -2834?\n\"Answer: -35*n**2 - 160*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 54\/5 of a microsecond?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(10) - (sqrt(30)\/sqrt(3) - sqrt(10))) + sqrt(10))\/sqrt(5) - (sqrt(16)\/((sqrt(32) + -2*sqrt(32))\/sqrt(4)))**2.\nAnswer: -7 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 9. Let f be d(5). Does 4 divide (-6 + 0)*35\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*w + 2, 2*v - 5*w + 555 = 0. Let o = -139 - v. Suppose 4 = -3*f + o. What is f rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21.032619 months?\nAnswer: 0.175271825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 28*x + 78. Determine r(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -743 + 147.7.\nAnswer: -595.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 + 0 = -4*b. Let v(h) = h + 33. Let g be v(17). Let a = b - g. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 857273 + 857272 - 1714545 - 11*o**2 - 9*o.\nAnswer: -11*o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**5\/15 + k**3\/2 + 90*k**2. Suppose -o - 2*o = -33. Let z(x) = -o - 15*x**2 + 2*x - 2*x. Give -22*n(l) - 6*z(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5916\/44345 - 2\/26607. Which is the smallest value? (a) -13 (b) 2\/7 (c) -3\/4 (d) f (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11219 is divided by 255.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 + 96 = -49*u. Let k(z) = z**2 + 5*z + 1. Determine k(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.4 and 4.152.\nAnswer: 9.9648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1530 and -69\/13430.\nAnswer: 120870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2895979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2064 divided by -26.\nAnswer: 1032\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + f = -23 - 0, 5*f = -2*l + 46. Suppose 16 = 3*a + 2*y, -6*a - 32 = -9*a + 2*y. Calculate the remainder when l is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 21075, 261, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*y = 22237 - 23097 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-24) + 0)*(-3)\/(-16)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -29*o - 168 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*w**3 + 4*w + 30*w**3 + 34*w**3 - 4*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 127*z**2 - z + 2. Suppose -23*k + 2 = -21*k. Does 16 divide o(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 970298.\nAnswer: 2, 7, 9901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1222010 - -40?\nAnswer: 1222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 6*c + 11. Let h be t(5). Suppose 41 = -4*a + 117. Let j = a + h. Is j a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -184, -500, -1058, -1924, -3164, -4844, -7030?\nAnswer: -9788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 (base 8) in base 13?\nAnswer: -c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.618 + 0.34. What is d rounded to 2 dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by 1.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*((-5)\/(-2) + -2). Let d(b) = b**2 + 2*b + 631. Is d(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/12*1\/(-5). Let o = -0.2978 - -0.0448. Let w = o - 0.047. Sort w, -1, n in decreasing order.\nAnswer: w, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5818, 2 in increasing order.\nAnswer: -5818, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 863925 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3))**(-9))**(3\/4)\/(f**2*f\/((f*f**(-2\/7)*f)\/f)*(f*f\/(f**3*f)*f*f*f)\/f*f\/(f\/(f\/((f\/f**(-2\/25))\/f*f*f)))) assuming f is positive.\nAnswer: f**(731\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/4)*q**(2\/5))\/(q**(-1\/7)*q*q**(2\/5)\/q) assuming q is positive.\nAnswer: q**(-17\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 3*p - 751. Let x be c(-25). Is x less than -169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 38175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 6*j + 5. Let a(c) = -5*c - 5. Let v be 3\/4 - 31\/4. Let g be a(v). Suppose -3*q + 12 - g = 0. Determine y(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997\/2 greater than 30\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/57, 157091, -3 in descending order.\nAnswer: 157091, -2\/57, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18476726250 + 0.3?\nAnswer: -18476726249.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from gdddl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*d + 0 = 4, -j + 1 = -d. Is (-8 + 90\/(-12))*(j + -35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 + -118. Which is smaller: 3\/134 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222201 (base 4) to base 6\nAnswer: 20333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**6\/30 - l**5\/12 - 7*l**4\/24 - l**3\/6 - 3*l**2. Is p(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 221*h**7\/42 + 5527*h**3\/6 - 9*h - 38. What is the second derivative of v(s) wrt s?\nAnswer: 4420*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1292 (base 11) to base 2.\nAnswer: 11010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**5\/30 + 7*l**4\/12 - 17*l**3\/3 - 84*l**2. Give v(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, -0.2, 61, -8, -349, 0.3 in ascending order.\nAnswer: -349, -8, -1.1, -0.2, 0.3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3\/6 + r**2\/3 - 2*r\/3 - 4\/3 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 873.6304 millennia in years?\nAnswer: 873630.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 - -44.1. Let z = 5.081028 + -2.98101. Let c = z - y. What is c rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(0 + 2) + 20\/5. Suppose -3*y - h + 24 = 0, 3*y + 2*y + h - 40 = 0. What is the highest common factor of j and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 1. Let n be h(-4). Let m(r) = 3*r**2 - 4*r + 4. Let b be m(n). Suppose 2*p = b + 3. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 280993 (base 12) to base 4.\nAnswer: 2202111333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.228 (b) 1791 (c) -0.3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22701 and 7521.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 12 + 2. Let p(r) = r**2 + 4*r + 5. Does 13 divide p(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50502 to the power of 1\/2, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*l + 40 = -13, -5*l = 5*o - 60. What is the third derivative of 135*j**3 + 16*j - 36*j**2 + o*j - 23*j wrt j?\nAnswer: 810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*n = -85, 3*n - 5*n + 10 = 0. Which is smaller: 12 or c?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6 = 1. Let x be (27\/(-12))\/(6\/(-16)). Let j be x\/8*(-4)\/m. Put -1\/5, j, 0.4 in descending order.\nAnswer: 0.4, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7077 + 7113. What is the highest common divisor of 4734 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.7548 + -6.7. What is x rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 5*r**2 + 6*r - 8. Let x be k(4). Suppose x = 3*n - 0*n - 5*c + 56, 2*c + 92 = -4*n. Put n, -3, 4, 3 in increasing order.\nAnswer: n, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**3 - 6*c**2 - 3*c + 4. Let i(n) = 9*n**3 + 13*n**2 + 5*n - 7. Determine -3*i(l) - 5*x(l).\nAnswer: -2*l**3 - 9*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/9 (b) 2\/3577 (c) -2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqbbsbqzsss. What is prob of picking 1 q and 2 b?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 105, 133, 185, 267?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74784046 + 1455*i**2 + 74784020 - 1453*i**2.\nAnswer: 2*i**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5910208 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 12:50 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7365.86 (b) 0.47 (c) -3\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31778217 or -31778215?\nAnswer: -31778215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.29944 + 0.335291. Round m to 3 decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**2 - 110*b + 170. Let r be y(-23). Solve -346 + 71 = -r*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-21) + (58\/42 - 2). Which is the third smallest value? (a) 0 (b) 0.02 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from lvlvllvlvvll.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36\/413 + 9194\/1239. Suppose z = -0*z + 2. Which is the third biggest value? (a) 0 (b) 0.3 (c) z (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-5197855)\/30)\/13)\/(((-10)\/2)\/30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 121*u**9\/504 + 1127*u**5\/60 + 2013*u**2. What is the third derivative of x(a) wrt a?\nAnswer: 14520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -20872811709?\nAnswer: 20872811709.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1042 + 935. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001.3 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4 = 5. Let u(m) = m**2 + 2*m + 3. Let k be u(d). Suppose 0 = -3*z + k*z - 201. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 10\/(-8)*2. Let y = -4.2 - -3.2. Suppose 2*m = 2*h - m - 21, 5 = -m. Which is the closest to l? (a) -4 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 + 85. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 215\/(-105))*-9. What is the nearest to -1 in -2, 0.2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-30)*(-2)\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 g when three letters picked without replacement from kkkkgkkgkgkk.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -3*c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.5671507 minutes to hours.\nAnswer: 0.042785845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n = -17 - 133 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 71 = -5*x + 69, 20 = -2*x - 4*f. Solve 0*i + w - 5 = -5*i, -3*w = x*i - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12852 by 3213.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000124271097 rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24.4 - -3.4. Let d = i + -25. Let h = -3 + d. What is the biggest value in h, 3, -5\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 88 - 18. What is the greatest common factor of r and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173872.4 milliseconds in seconds?\nAnswer: 173.8724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -4*g + 21, 22*g + 145*p - 108 = 149*p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.14 + 0.94. Which is the fourth biggest value? (a) 0.3 (b) 0 (c) -1 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 5) in base 7?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1212 (base 10) to base 9\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.1181\nAnswer: -0.2362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20824393.\nAnswer: 20824393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}